0.04 + 0.015x = 1.09

Answer:

B

Step-by-step explanation:

[tex] {x}^{6} \times {x}^{2} = {x}^{6 + 2} = {x}^{8} [/tex]

The combination of  number of ways of groups of 3 customers are  19600 .

What is permutation and combination?

The number of store customer is N = 50

The number of customer that receive a special gift is r = 3

The expression for the number of possible ways to choose 3 customers is

                   = ⁿCr

                   = ⁵⁰C₃

                    = 50 * 49 * 48/3 * 2 * 1

                    = 19600

Thus, the number of ways of groups of 3 customers are  19600.

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15 friends pay £6 each for hall practice with inverse proportion

Friends  = 5

Each pays = £18

Total payments = 5*18

                          = 90

Friends = 15

Each pays = 90/15

                 = 6

Hence, 15 friends pay £6 each for hall practice with inverse proportion.

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Answer:

  86%

Step-by-step explanation:

You want the girls' average if the 20 boys in the 30-student class had an average of 62%, and the class average was 70%.

The class average is the weighted average of the boys' score and the girls' score. The weights are the fraction of students of each gender.

  class average = (1/3)(girls' average) +(2/3)(boys' average)

Solving this equation for the girls' average, we get ...

  (1/3)(girls' average) = (class average) -(2/3)(boys' average)

  girls' average = 3(class average) -2(boys' average)

  girls' average = 3(70%) -2(62%) = 210% -124%

  girls' average = 86%

__

Alternate solution

The sum of differences from the class average must be zero. The boys' average is 8 points below the class average, and there are 2 times as many boys as girls. Thus, compared to the girls, the boys contribute a total of 2·8 = 16 points below the class average. The girls must counter by having an average 16 points above the class average: 70+16 = 86.

The required inequality is x ≥ 94.

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Add the scores with x and equate them to (82 times 4) as shown:

76 + 80 + 78 + x = (82 times 4)

234 + x = 328

Find x

x = 94

She needs x on the next exam so that her average is at least 82.

So, inequality is x ≥ 94.

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Answer:

Okay so for the first box the answer is, 116.85.

The second box is, 2,133.15

For the third box, 141

And the fourth and final box is, 2,109

Step-by-step explanation:

I really hope this helps!!

Answer:

38%

Step-by-step explanation:

[tex]\frac{1178}{3100}[/tex] x 100

Answer:

y = 1/2x + 4

Step-by-step explanation:

slope-intercept form is: y = mx + b

- x and y are coordinates; if you plug the coordinates into your equation, you should receive a solution.

- m is the slope itself. this can be figured out by calculating the rise/run. look at the point (0,4). the line goes up by one, and right by two. therefore, the slope is 1/2. the line is also going up, so therefore it is a positively sloped line.

- b is the y-intercept, or where the line crosses the y-axis. in this specific example, the line crosses the y-axis at the point (0,4), and therefore the b would be + 4.

so when you put everything together and plug the m and the b into the slope formula, you get y = 1/2x + 4.

hope this helped!<3

The exponential function indicated will increase by 9.2%.

Given that,

y = 210(1. 092)^x

To find,

Determine the change's percentage rate of rise or reduction and decide if it shows growth or decay.

We have,

y = 210(1. 092)^x

Since the growth factor exceeds 1, the equation reflects exponential growth.

The general form equation is:

y(x)= a(1-r)^x such that r represents the growth rate.

1+r =1. 092

r = 0. 092= 9.2%

As a result, the exponential function will grow by 9.2%.

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Answer: 25 + 15x

x = 6 tickets.

Step-by-step explanation:

First of all, we need to write an equation.

The equation will be x = $25 + $15x.

Now, we need to use trial and error. I'm going to try plugging in 9 into X because I know that 10 would be too big.

25 + 15(9)

25 + 135

160

This does not work.

Now, I'm going to try 7, because 9 was very far off.

25 + 15(7)

25 + 105

130.

It still doesn't work.

Finally, I'm going to try 6.

25 + 15(6)

25 + 90

115.

The values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.

We are given an inequality. The inequality is k ≤ 6. We are also given several values for the variable "k". We need to select the values that satisfy the inequality and make the inequality true. The values given to us are -2, 1, 3, 5, 5.9, 5.99, 5.999, 6, 6.001, 6.01, 6.1, 7, 9, 11, and 14. According to the given inequality, the values that are less than or equal to six will satisfy the inequality, and other values will not hold true. The values smaller than or equal to six are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6. Hence, the values that make the given inequality true are -2, 1, 3, 5, 5.9, 5.99, 5.999, and 6.

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Answer:

direct variation for both, 0.5x and -2.5x

Step-by-step explanation:

what you have is correct. it is linear lines on both plots and tables. and your equations are also correct because for example, -6 times -2.5 is equal to 15.

The measure of the angle STR is ∠STR = 60°.

What is an equilateral triangle?

An equilateral triangle is a triangle with the same length on all three sides. An equilateral triangle is also equiangular in Euclidean geometry; that is, all three internal angles are congruent to each other and are each 60°.

Given data:

The given triangle RST is an equilateral triangle and we have to find out the measure of angle STR.

As the property of an equilateral triangle says that "All three internal angles are congruent to each other and are each 60°."

So we can say that the measure of the angle STR = 60°.

                     ∠STR = 60°.

Hence, the measure of the angle STR is ∠STR = 60°.

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Answer:

Step-by-step explanation:

x=4

15-7=8

8/2=4

Answer: 2(4) + 7 = 15

Step-by-step explanation:

2 + 7 only equals 9

2 * 4 = 8

8 + 7 = 15

So x would be 4

Number of hours spent by Monica on TV is 45 minutes , the time spent by Becky is in mixed fraction.

What is mixed fraction?

A mixed fraction is one that has each its quotient and remainder delineated.

Main Body:

Number of hours spent by Becky on TV = 1 1/2 hours

This is a mixed fraction.

Converting into decimal form,

1 1/2 can be written as 1.5 hours

Converting hours into minutes ,

⇒1.5 * 60 = 90 minutes

Time spent by Monica = (1/2)* Becky's time

⇒Time spent by Monica = (1/2)*90

⇒ 45 minutes

Hence time spent by Monica is 45 minutes.

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The equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet..

According to the question,

We have the following information:

The sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base.

Area of the sign is approximately 200 square feet.

Let's take the base of the triangle to be b feet.

Height of triangle = 2b

Now, we know that the following formula is used to find the area of triangle:

Area = 1/2 * base*height

200 = b*(2b)/2

[tex]2b^{2} /2 = 200[/tex]

[tex]b^{2} = 200\\[/tex]

b = 10√2 feet

Hence, the equation that could be used to find the length of the sign's base is 200 = 1*b(2b)/2 and the length of the sign's base is 10√2 feet.

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Answer: it's 72 (B)

Step-by-step explanation: that's what I put. It was correct

The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 , the correct option is (a) .

The Volume of the cube with side length "a" is given by the formula

Volume = a³ .

In the question ,

it is given that ,

the length of the side (s) of the cube is 4x² + 3 .

By using the formula for Volume of the cube ,

we get

Volume = (4x² + 3)³

using the identity (a + b)³ = a³ + b³ + 3a²b + 3ab²

we get ,

Volume = (4x²)³ + 3³ + 3*(4x)²*(3) + 3*4x*3²

Simplifying further ,

we get

= 64x⁶ + 27 + 9*16x⁴ + 27*4x²

= 64x⁶ + 27 + 144x⁴ + 108x²

= 64x⁶ + 144x⁴ +  108x² + 27

Therefore , The volume of the cube with the given side length is 64x⁶ + 144x⁴ + 108x² + 27 .

The given question is incomplete , the complete question is

The side length s , of a cube is 4x² + 3 . If V = s³ , what is the Volume of the cube ?

(a) 64x⁶ + 144x⁴ + 108x² + 27

(b) 64x⁶ + 48x⁴ + 12x² + 1

(c) 4x⁶ + 36x⁴ + 108x² + 27

(d) 4x⁶ + 12x⁴ +12x² + 1

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Answer: the answer is P (n,r)

The Pythagorean Theorem could be represented mathematically as follows, Here, c represents the length of the hypotenuse (the longest side), or b or a are the lengths of the other 2 sides. From the equation, you can easily find the value of the 1 side if you have the values of the other 2

1) a2 = h2 + x2

Pythagorean theorem

2) h2 = a2 - x2

Rearrange the previous statement

3) c2 = h2 + (b-x)2

Pythagorean theorem

4) c2 = h2 + b2 -2bx + x2

Expand (b – x)2

What made Pythagoras think of the Pythagorean theorem?

   The number 1 : the number of reason.

   The number 2: the first even and female number, the number of opinion.

   The number 3: the first true male number, the number of harmony.

   The number 4: the number of justice or retribution.

   The number 5: marriage.

   The number 6: creation

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Answer:

The value of x if the scale factor of figure A to figure B is 4:5 is; x = 12

We are given the scale factor of figure A to figure B as 4:5.

By use of similar triangles theorem, we can deduce that the ratio of corresponding sides of figure A to corresponding sides of figure B must be equal to 4:5.

Now, looking at both triangles, we can say that;

x:15 = 4:5

Thus,we can write in fraction as;

x/15 = 4/5

x = 15 × 4/5

x = 12

In conclusion, the value of x from the given proportion between both triangles is 12.

Answer:

x4.2

Step-by-step explanation:

It is proved that  ∠ADB ≅ ∠ADC using the SSS property of a triangle.

The size of the sides and angles determines whether two or more triangles are congruent. The three sides and three angles of a triangle define its size and shape, accordingly. Two triangles are said to be congruent if their respective side and angle pairs are the same. They are identical in terms of both dimensions shape and size.

Given AB = AC

∠1 = ∠2

Consider, triangke BDC

If two angles are equal then their opposite sides are equal. Therefore,

BD = DC

Now consider triangles ADB and ADC

AB = AC (given)

AD = AD ( common)

DB = DC (sides of an isosceles triangle)

So, ΔADB≅ΔADC [SSS property]

Now, we can write ∠ADB ≅ ∠ADC.

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⇒ Rounding off to the nearest 10 we look at the unit

⇒ for 0-4 we round down, and for  5-9 we round up.

⇒In this case the unit is 5, this means we will round up, the number in the tenth place will be affected.

∴ The answer is 1580

⇒Note 7 was rounded up to 8 due to the 5 in the unit place.

The Equivalent equation using the Subtraction Property of Equality is y = 2.

If we have an expression as ( a + b ) = c

Then as per subtraction property of equality [ (a + b ) - b = c - b ]

Here given 9y = 4y + 10

Simplifying this equation, we get

⇒9y - 4y = 10

⇒( 9 - 4 )y = 10

⇒5y = 10

therefore, y = ( 10 ÷ 5 )

⇒y = 2

Therefore the equivalent equation is y = 2.

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The option that is not implied when average inventory is q/2, where q is the order quantity is; B: backorders are permitted

Average inventory is defined as a calculation of inventory items that are averaged over two or more accounting periods. To get the calculation of the average inventory over a year, what we will do is to add the inventory counts at the end of each month and then divide it by the number of months.

Now, inventory is usually held against uncertain usage so that a supply of items is available if needed. Thus, The maximum inventory with backorders is calculated as Q - S

where;

S is size of the reorder point

Q is the quantity of order

Looking at the given options, the one that does not imply average inventory is q/2 is option B

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Yes the acceptable move  that proves the two equation are equivalent.

What is equivalent equation?

Equivalent equation are algebraic equations that have identical solutions or roots. Adding or substracting the same number or expression to both side of an equation produce an equivalent equation.

Sol-

By observing both equation.

In equation A : -3(x+9)=18

Divide the equation A by -3

=> (x+9)=-6

And this result equals to equation B

Hence both equation are equivalent

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Step-by-step explanation:

the correct answer IS options 1, 2, 4.

the curve shows us that the ball hits the ground (height 0) at 12 seconds and then stays there.

so, at 20 seconds the height is 0, as the ball is on the ground, and so the functional result g(x) = 0.

actually that is g(20) = 0.

as g(x) gives us the height of the ball x seconds after throwing it out of the window.

although I have to say : the graph does not show us the situation at 20 seconds (it ends at 16 seconds). maybe somebody picks it up (so, it would move up again). we don't know.

so, there is some point for option 5.

but normally, we can say 1, 2, 4 are correct.

option 3 is definitely out, because the ball would not suddenly, after 8 seconds (from 12 to 20 seconds) flat on the ground, start bouncing again.