A pack of sugar costs £1.25 for 500g. How much for 1kg?

Answers

Answer 1

Answer:

2.50 £

Step-by-step explanation:

A pack of sugar costs £1.25 for 500g. How much for 1kg?

500g = 1/2Kg or 0.5 Kg

so 1.25£ is 0.5Kg (1/2)

1.25 * 2 = 2.50£ is your answer

Answer 2

Answer:

2.5

Step-by-step explanation:

Change 500g into kg

500g=500/1000kg

        =0.5kg

If                  0.5kg cost 1.25

what about 1kg

   = (1*1.25)/0.5

   = 1.25/0.5

   =2.5


Related Questions

1. Use the given conditions to write an equation for the line in​ point-slope form and general form. Passing through (−4,4) and parallel to the line whose equation is 7x−9y−8=0 Question content area bottom Part 1 The equation of the line in​ point-slope form is enter your response here. ​(Type an equation. Use integers or fractions for any numbers in the​ equation.) Part 2 The equation of the line in general form is enter your response here=0. ​(Type an expression using x and y as the variables. Simplify your answer. Use integers or fractions for any numbers in the​ expression.)

Answers

1) The equation of the line passing through (−4, 4) and parallel to the line whose equation is 7x − 9y − 8 = 0 is; y - 4 =  ⁷/₉(x + 4)

How to find the equation of a line?

1) We are told that the line passes through (−4, 4) and is parallel to the line whose equation is 7x − 9y − 8 = 0

Thus, let us rearrange to find the slope.

7x − 9y − 8 = 0

⇒ 9y = 7x - 8

⇒ y = ⁷/₉x - ⁸/₉

Slope; m = ⁷/₉

Now,  the point slope formula is;

y − y₁ = m(x − x₁)

where;

y₁ is the y-coordinate

x₁ is the x-coordinate

m is the slope

Thus the line Passing through (−4,4) is;

y - 4 =  ⁷/₉(x + 4)

2) The equation in general form is;

y = 4 + ⁷/₉x + ²⁸/₉

y = ⁷/₉x + ⁶⁴/₉

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An ongoing promotion at a department store gives customers 20\%20%20, percent off the portion of their bill that is over \$100$100dollar sign, 100. Ruby's total bill at the department store after the promotion has been applied is \$250$250dollar sign, 250. If xxx represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?

Answers

The equation best models the situation 100 + 0.8(x - 100) = 250.

The correct option is (D)

What is equation?

An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.

The complete question is:

An ongoing promotion at a department store gives customers 20% off the portion of their bill that is over $100. Ruby's total bill at the department store after the promotion has been applied is $250. If x represents the amount of money Ruby would have spent on the same purchase at the department store without the promotion, which of the following equations best models the situation?

A. 0.2x + 100 = 250

B. 0.8x + 100 = 250

C. 100 + 0.2(x - 100) = 250

D. 100 + 0.8(x - 100) = 250

Given:

Department store gives 20 % off the portion of the bill that is over 100 dollars.

Total bill = 250

let x is the amount of money she would have spent without the promotion.

Then, cost after discount applies = 0.8 ( x - 100 ).

Hence, the equation is 100 + 0.8 (x - 100) = 250.

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graph the line with slope -1/2 passing through the point (5,-3)

Answers

Step-by-step explanation:

The graph is shown in the image above.

Answer: Draw a line through the two points (5,-3) and (7,-4)

See the diagram below.

=======================================================

Explanation:

Start at (5,-3). Then move down 1 and to the right 2 units to arrive at (7,-4)

The motion of "down 1, right 2" is from the slope of -1/2

slope = rise/run = -1/2

rise = -1 = go down 1 unit

run = 2 = go 2 units to the right

Two points are the minimum amount needed to draw any line. Plot the two points (5,-3) and (7,-4) and draw a straight line through them as shown in the diagram below. I used GeoGebra to make the graph. Desmos is another tool you could use.

Colin walked a distance of 15m in 6 hours. Work out Collin's average speed. Give your answer in miles per hour

Answers

2.5 miles/hour

Simply 15/6

Answer:

Colin walks an average speed of 2.5 miles per hour.

Step-by-step explanation:

15/6= 5 miles/2 hours

2.5

In a group of 20 pupils, 3 play the flute only.
6 play the piano only.
6 play both instruments.
A student is chosen at random.
What is the probability the student plays neither instrument?


Please answer in fractional form!!

Answers

Answer
5/20
0.25

Step 1
Add all pupils that play the listed instruments

6+6+3= 15

Step 2
Subtract 15 from total number of pupils

20-15= 5

Step 3
You now have a 5/20 chance of choosing a pupil that does not play a listed instrument.

Answer:

[tex]\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given information:

Total number of pupils = 203 pupils play the flute6 pupils play the piano only6 play both instruments

We can assume that 3 pupils play the flute only as we have also been told that 6 pupils play both instruments.

To calculate the probability that a randomly chosen pupil plays neither instrument, first determine how many pupils do not play an instrument by subtracting the number of pupils who do play an instrument from the total number of pupils:

⇒ total number of pupils - pupils who play instruments

⇒ 20 - (3 + 6 + 6)

⇒ 20 - 15

⇒ 5

Therefore, 5 pupils do not play the piano and/or flute.

To calculate probability:

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore:

[tex]\implies \textsf{Probability of a pupil playing neither instrument} = \dfrac{5}{20}=\dfrac{1}{4}[/tex]

Which expression is equivalent to \frac{r^9}{r^3}

Answers

Answer:

[tex]\sf r^6[/tex]

Step-by-step explanation:

Exponent law:

         [tex]\boxed{\bf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]

In exponent division, if bases are same, subtract the powers.

 [tex]\sf \dfrac{r^9}{r^3}=r^{9-3}=r^{6}[/tex]

Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answers so I can do the rest myself. please

Answers

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

What is the equation of the line that passes through the point (6,-4) and has a slope
of-?

Answers

Answer:

y = -x + 2

Step-by-step explanation:

*Assuming the slope given is -1*

Applying point-slope formula :

y - (-4) = -1 (x - 6)y + 4 = -x + 6y = -x + 2

Now that you have x² - 8x 16 = 9 16, apply the square root property to the equation.

Answers

The square root property to the equation will be (x – 4)² = 25. And the solutions will be the negative 1 and 9.

What is a quadratic equation?

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

The equation is given below.

x² – 8x + 16 = 9 + 16

Then the equation can be written as

(x – 4)² = 25

x – 4 = ±5

x = 4 ± 5

x = -1, 9

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Approximate the area under the curve y = x^2 from x = 0 to x = 3 using a Right Endpoint approximation with 6 subdivisions.


Will mark brainliest

Answers

Subdivide the interval [0, 3] into 6 subintervals of equal length, ∆x = (3 - 0)/6 = 1/2. Then the partition is

[tex]\left[0,\dfrac12\right] \cup \left[\dfrac12,1\right] \cup \left[1,\dfrac32\right] \cup \cdots \cup \left[\dfrac52,3\right][/tex]

The right endpoint of the [tex]i[/tex]-th subinterval is

[tex]r_i = \dfrac12 + (i-1)\times\dfrac12 = \dfrac i2[/tex]

with [tex]i\in\{1,2,3,\ldots,6\}[/tex].

Then the area under the [tex]y=x^2[/tex] on the interval [0, 3] is approximately

[tex]\displaystyle \int_0^3 x^2 \, dx \approx \sum_{i=1}^6 (r_i)^2 \Delta x = \frac18 \sum_{i=1}^6 i^2[/tex]

Recall that

[tex]\displaystyle \sum_{n=1}^N n^2 = \frac{N(N+1)(2N+1)}6[/tex]

Then the approximate value of the area is

[tex]\displaystyle \int_0^3 x^2 \, dx \approx \frac{6\times7\times13}{48} = \boxed{\frac{91}8}[/tex]

The actual value of the area is 9, so this approximation is an overestimation, as is always the case when using a right endpoint sum for an increasing function.


Suppose y varies directly as x², and y = 160 when x = 4. Find y when x = 6.

Answers

Finding the constant of proportionality :

y = kx²160 = k(4)²k = 10

Finding y when x = 6 :

y = 10(6)²y = 10(36)y = 360

The value of y is 360 when x = 6.

There are 39 adults and 26 children registered for a seminar. the seating is to be arranged so each row has the same number of people. all of the people in a row must be in the same age group. how many rows of seats are needed to seat the greatest possible number of participants in each row?

Answers

The number of rows of seats needed to seat the greatest possible number of participants in each row is 5

What is Highest Common Factor ?

The highest common factor is the highest number that divides the numbers given.

On the basis of given data

Total number of children = 26

Total number of adults = 39

The highest common factor of both the number is 13 ,

Therefore the highest possible number of people that can sit in one row so that the number is in constant in all the rows.

So 2 rows of children of 13 each and

3 rows of adult of 13 each

Which makes the total number of rows = 5

Therefore the number of rows of seats needed to seat the greatest possible number of participants in each row is 5

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This image of a physics problem shows a block resting on a ramp, . ∠P is the angle between the ramp and the horizontal, and is oriented vertically. Which quantity is equal to cos W?

A. sin p
b. cos p
c. 1 - sin p
d. 1 - cos p

Answers

Based on the image description, the quantity that is equal to cos W is sin P.

What is the image about?

The image is known to be showing an object on a ramp. Based on it, we can therefore take the angle a to the complementary angle of angle w.

Note that the angle w and angle b are said to be the same via alternate interior angles. Therefore,  the quantity that is equal to cos W is sin P.

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One root of f (x) = x cubed 10 x squared minus 25 x minus 250 is x = –10. what are all the roots of the function? use the remainder theorem.

Answers

Answer:

x= -10 , x= -5 , x=5

Step-by-step explanation:

we are given function as

x^3+10x^2-25x-250

We are given one of zero is x=-10

we can find all possible factors of 250

so, we will check zeros at x=-5 and x=5

At x=-5:

we can plug x=-5

At x=5:

we can plug x=5

So, other zeros are

x=-5 and x=5

All zeros are

x=-10 , x=-5 , x=5

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
One leg of a right triangle is 2 inches and the hypotenuse is 6 inches.

Find the area of the triangle.

_[tex]\sqrt{x} \\[/tex]

Answers

We can see that the area of the triangle is: 5.65in².

What is a triangle?

A triangle is actually known to be a shape that has three sides, three angles and three vertices. It's also known as a plane shape.

In order to find the area of the triangle, we will use Pythagorean Theorem: c² = a² + b².

Where c = hypotenuse = 6in.

b = 2in.

6² = a² + 2²

36 = a² + 4

a² = 36 - 4 = 32

a = √32

Area of the triangle = ½ × base × height.

Where base = √32

height = 2

Thus: A = ½ × √32 × 2

A = √32 = 5.65in².

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A coin toss is used to determine which team will receive the ball at the beginning of a football game. The Cougars always choose tails in the toss. What are the odds in favor of the Cougars losing the toss in exactly two of three games?
3:5
3:8
5:3
8:3

Answers

The odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A coin toss is used to determine which team will receive the ball at the beginning of a football game.

The Cougars always choose tails in the toss.

There will total of 8 cases and in 8 cases there will be three cases in which exactly two heads will come so,

3:8

The cases = {TTT, TTH, THT, HTT, HHT, HTH, HHT, HHH}

Thus, the odds in favor of the Cougars losing the toss in exactly two of three games is 3:8 option second is correct.

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Solve for x and show your steps. Is the solution extraneous? Check your work to show how you determined if the solution is extraneous or not.

[tex]\sqrt{4x-3}=5[/tex]

Answers

Answer:

x = 7

Step-by-step explanation:

[tex](\sqrt{4x-3} )^{2} =5^{2}[/tex]

[tex]4x-3=25[/tex]

[tex]4x=25+3[/tex]

[tex]x=\frac{28}{4}[/tex]

[tex]x=7[/tex]

Hope this helps

A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195, how long was the repairman there? answers a: 2 hours b: 2.5 hours c:4 hours d: 3 hours

Answers

The time spent by the repairman there will be 3 hours so the correct answer is option D.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.

The time will be calculated as:-

Total amount =  $195

Now the fixed consulting cost will be $60 and will be deducted from the

total amount.

Variable cost = 195 - 60 = 135

The $45 per hour charge so for $145 the time will be:-

Time = 135 / 45

Time =  3 Hours

Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.

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Y=-5x +6 Y= 3x -2 Find the solution to the system of equations
X = _____
Y= _____

Answers

Answer:

x=1, y=1. (1, 1).

Step-by-step explanation:

y=-5x+6

y=3x-2

------------

-5x+6=3x-2

-5x-3x+6=-2

-8x+6=-2

-8x=-2-6

-8x=-8

8x=8

x=8/8=1

y=3(1)-2=3-2=1

If 2 inches is 5 centimeters, which of following is correct?

Answers

Unit conversion is a way of converting some common units into another without changing their real value. The correct option is D.

What is unit conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimeter is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.


The complete question is mentioned in the below image.

Given that 2 inches are 5 centimeters. Therefore, the ratio of an inch to centimeters are,

2 inches = 5 centimeters

1 inch = 5/2 centimetes

Now, if using the ratio, the measurements are converted then,

A.) 7 inches = 7 × (5/2)centimeters = 17.5 centimetes

B.) 5 inches = 5 × (5/2)centimeters = 12.5 centimetes

C.) 8 inches = 8 × (5/2)centimeters = 20 centimetes

D.) 3 inches = 3 × (5/2)centimeters = 7.5 centimetes

As it can be observed that the correct statement is D If 2 inches is 5 centimeters, then 3 inches is 7.5 centimeters. Hence, the correct option is D.

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f(x) = x+3 f ( x ) = x + 3​

Answers

Answer + Step-by-step explanation:

y = mx + b where m is the slope and b is the y-intercept

y = x + 3 where m = 1 is the slope and b = 3 is the y-intercept

Table of some points:

| x | 0 | 1 | 2 | 3 |

| y | 3 | 4 | 5 | 6 |

when x = 0, y = 0 + 3 and y = 3

when x = 1, y = 1 + 3 and y = 4

when x = 2, y = 2 + 3 and y = 5

Graph:

P(Ω)
P(A)
0.4
0.1
P(B)
0.2
0.3

Answers

Answer:

i dont even have the first one on my computer

Step-by-step explanation:

You toss a coin and roll a number cube. Find P(heads and an even number.)

Answers

Answer:

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number)

The events are independent (the outcome of flipping thee coin has no effect on the outcome of rolling the die).⇒ P(head and an even number) = P(head) × P(even number)

P(even number)Assuming a fair coin and a fair die:

P(even number)Assuming a fair coin and a fair die:P(head)

P(even number)Assuming a fair coin and a fair die:P(head) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50%

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number)

P(even number)Assuming a fair coin and a fair die:P(head) =50%P(even number) =50% (since half the numbers on a die are even).P(head and even number) =50%×50%=25%

x(x+3)-2(-5x+1)x=x^2-3(4-2x)

Answers

The answer is no solution

Explanation:

it depends on how you interpret what's written. The way I initially interpreted it*, I was able to use the quadratic formula to find :

[tex]x=\frac{1}{4}-i\frac{\sqrt{455}}{20},\:x=\frac{1}{4}+i\frac{\sqrt{455}}{20}[/tex]

*I interpreted it as: [tex]x\left(x+3\right)-2\left(-5x+1\right)x=x^2-3\left(4-2x\right)[/tex]

but I don't want to say that this is your correct answer, because there are multiple interpretations (like a lot of interpretations)

{this is mostly in response to other answers}

An adult male cheetah runs at a speed of 26 mph. That is 30% faster than his average last month. How fast did the male cheetah run last month?
Sadie makes 1.5 liters of iced tea. She pours of a liter into a pitcher to take to her neighbor. Her sister drinks of the remaining iced tea. How much tea does Sadie’s sister drink?

Answers

Answer:

20 mph

Step-by-step explanation:

First problem:

The new speed is 26 mph.

The old speed was x.

The new speed is 30% higher than the old speed.

1.3x = 26

x = 20

Answer: 20 mph

Second problem:

A number, perhaps a percent or a fraction, is missing from the problem.

If the price of an apple is Rs. 40, find the number of apples that can be brought for Rs. 200. ​

Answers

Answer:

5

Step-by-step explanation:

Divide 200 by 40 to get 5.

Answer:

ig 5 Apples can be Brought with Rs. 200

Step-by-step explanation:

Rs. 40 = 1 apple

Rs. 200 = ? Apple

therefore 5 apples can be brought...

Hope it Helps!!!

Someone please help with this !!!

Answers

Answer:

[tex]\dfrac 5{13}[/tex]

Step-by-step explanation:

[tex]\sin \theta =\dfrac{\text{Perpendicular}}{\text{Hypotenuse}} = \dfrac{5}{\sqrt{5^2 +12^2}} = \dfrac 5{\sqrt{169}} = \dfrac 5{13}[/tex]

What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance

Answers

The choice trigonometric ratio is tangent and the distance is 3. 98 meters.

How to determine the trigonometric ratio

The given angle is 86

The opposite side is given as 57 meters

The distance is in the adjacent

Thus, trigonometric ratio to use is the tangent

Tangent = opposite/ adjacent

We have,

tan 86 = 57/x

14. 300 = 57/x

x = 57/ 14. 300

x = 3.i 98 meters

Thus, the choice trigonometric ratio is tangent and the distance is 3. 98 meters.

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A circle has a diameter with endpoints (-7, 1) and (-3, 7).

What is the equation of the circle?

r2 = ( x - 3) 2 + ( y + 4) 2
r2 = ( x + 3) 2 + ( y - 4) 2
r2 = ( x + 5) 2 + ( y - 4) 2
r2 = ( x - 5) 2 + ( y + 4) 2

Answers

How do I set a question I need help with?

Divide 140 in the ratio 2:5

Answers

Answer:

40 : 100

Step-by-step explanation:

→ Find the sum of the ratio

2 + 5= 7

→ Divide 140 by the answer

140 ÷ 7 = 20

→ Multiply each part of the ratio by 20

40 : 100

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A financial statement that has a date line similar to "For the month ended June 30, 20XX," is a(n): settled territorial disputes between European nations Which of the following is most likely the next step in the series? A person drops off a prescription for a beneficiary who is a regular customer. The prescription is for a controlled substance with a quantity of 160. This beneficiary normally receives a quantity of 60, not 160. You review the prescription and have concerns about possible forgery. What is your next step?. A knowledge management system should help an organization: De-Escalation Test 1. Stress and change is typically the main reason for most workplace violence? True or False 2. Stress can be caused by an individuals experience that is often sudden or unwanted? True or False 3. Typically, aggressive people want something, the key to successfully de-escalating the situation is to try to figure out what it is they want. What should you do to understand the behavior? a) Pay close attention to what is being said & what they are doingb) Test to see if they understand the message you're trying to convey. Put in their own words & use words & convey respectc) Try to identify the real issue, put loose ends together, & ask questions to seek more informationd) Inform the individual to calm down and relaxe) option a, b and c 4. For intimidating threats, workforce can use non-verbal and para-verbal techniques? True or False 5. Self-Awareness is important in de-escalation to identify your own feelings as it could impact your para-verbal techniques? True or False 6. Para-verbal techniques include:What you say and how you say it, Tone of voice, Volume and speed of voice, Being respectful and Empathize ? True or False 7. Appropriate non-verbal de-escalation techniques include: Appearing calm and collective, Standing over the other person to be higher than eye level and Using hand gestures ? True or False8. If an individual is mentally impaired, their threats are not considered workplace violence and should not be reported? True or False9. If an individual is exhibiting violence, workforce members should move back, exit the immediate area and secure the safety of self and others? True or False if sin theta=-3/5 in quadrant III what is cos theta Lyle wants to write an essay about how the government should cut back on some of its current expenditures on space exploration. He wants to acknowledge that NASA has made several achievements related to space exploration and that those achievements have played a significant role in boosting the morale of the country. He also wants to emphasize that space exploration is less significant than a host of everyday issues the country faces. He wants to suggest that redirecting some of the funds spent on space missions to fields such as education or medical research would be more beneficial to humanity. Given Lyle's ideas for his essay, which of the following is the best thesis statement?A.Although space exploration is not a profitable venture, it is necessary for humanity to understand the universe.B.Space exploration is a waste of money and resources, but NASA should continue to fund its next planned mission to Mars.C.While it is not advisable to stop space exploration entirely, the government should prioritize spending on important issues where the benefits may be more tangible.D.Space exploration acts like a magnet, pulling away both intellectual resources and the tax payer's dollars only to produce inconsequential results.E.Before trying to unravel the mysteries of space, we should learn about our own planet. Triangle U S T is shown. Angle U S T is 100 degrees. The length of U S is 9, the length of S T is 10, and the length of U T is s.Which equation correctly uses the law of cosines to solve for the length s?92 = s2 + 102 2(s)(10)cos(100)9 = s + 10 2(s)(10)cos(100)102 = s2 + 100 2(s)(10)cos(100)s2 = 92 + 102 2(9)(10)cos(100) A hot-air balloon has a pressure of 0.715 atm while the temperature outside is 200C. What will the pressure be if the temperature drops to 5C while the volume remains constant?1.12 kPa11.2 atm1203 atm1.12 atm Using a ph meter, you find the ph of an unknown solution to be 8. 0. How would you describe this solution?. does someone mind helping me with this problem? Thank you! There are boys and girls in a class in the ratio 1: 12 there are 77 more girls than boys. how many boys are there? (a) Explain why red blood cells burst when placed in some solutions of sodium chloride. n 1129, what were the Knights Templar namedby the Roman Catholic church?A. official knightsB. guardians of the churchC. international law enforcement Prince Vladimir of Kiev most likely converted his people to Eastern Orthodox Christianity because:this choice cemented ties with Byzantium.he was forced to do so after losing in combat.Oit preached self-denial.O he could still worship the gods of his ancestors.OO Technician A says that mechanical shifting controls can wear out over time. Technician B says that vacuum control rubber diaphragms can deteriorate over time. Who is correct Are fixed costs considered to be anticipated or unanticipated costs? are variable costs considered to be anticipated or unanticipated costs?. The planets that reside in the inner region of the solar system are called touristinal planets these planets share certain characteristics for example they are they all have a blank structure which would allow people to stand on the surface these planets include Mercury Earth blank and Mars on the four inner planets only Mars and blank have confirmed satellites In ABC, m