x+y= 2
y=-12? + 3
\right.V)
1. In two or more complete sentences, explain how to solve the system of equations algebraically.
2. Solve the system of equations. In your final answer, include all of your work.

Answer:

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Step-by-step explanation:

In order to calculate the ratio of the diameter of the Sun to the diameter of the Earth we will first represent the Earth's diameter as a scientific notation, to do this we will add one to the power of ten for every time the comma walks to the left until there's only one number to the left. This is done to make the division easier,

[tex]d_{earth} = 1.3*10^4\text{ km}[/tex]

The ratio is given by the Sun's diameter divided by the Earth's, as shown below:

[tex]\text{ratio} = \frac{d_{sun}}{d_{earth}}\\\\\text{ratio}= \frac{1.4*10^6}{1.3*10^4} = 1.08*10^2[/tex]

The ratio between them is approximately [tex]1.08*10^2[/tex], therefore the correct answer is A.

Answer:

y=0.5x-4

Step-by-step explanation:

y+3=0.5(x-2)

y+3=0.5x-1

y=0.5x-4

Answer:

So the options are in y=mx+b aka slope intercept form, so since the slope is 1/2, and passes through (2,-3) the equation will be y=1/2x+2. So the answer is y = one-half x + 2

Step-by-step explanation:

Answer:

Both

Step-by-step explanation:

The correct option is (2, -1) satisfies the inequality, but (- 4, 2) does not.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

(2, - 1) and (-4, 2) and inequality 2x – 3y > 4

Now, (2, -1)

2(2) - 3(-1)

4 + 3

7>4

and, take (-4, 2)

2(-4) - 3(2)

= -8 -6

= -14 < 4

Hence, (2, -1) satisfies the inequality, but (- 4, 2) does not.

Learn more about Inequality here:

https://brainly.com/question/28823603

#SPJ5

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

BC = 24

Step-by-step explanation:

In the picture attached, the missing triangles are shown:

Data

As a consequence of the "Side Splitter" Theorem:

AD/DE = AB/BC

Replacing with data and solving for BC

5/12 = 10/BC

BC = 10*12/5 = 24

The length of BC is 8 units.

The given figure is image 1.

From the image: AD = AB + BD = 10 + 5 = 15.

From the image triangle ABC and ADE are similar.

So their sides will be in the same ratio.

[tex]\frac{10}{15}=\frac{BC}{12}\\\\BC=\frac{10}{15}\cdot12\\\\BC=8[/tex]

Learn more: https://brainly.com/question/13769924

Answer:

4 to 1

Step-by-step explanation:

For herself alone, she uses a ratio of

8 tablespoons of cocoa to 2 tablespoons of sugar

The ratio is

8 to 2

We divide both numbers by 2 to get the simplified ratio

4 to 1

For two, she doubles the recipe, so she uses the ratio

16 tablespoons of cocoa to 4 tablespoons of sugar

The ratio is

16 to 4

We divide both numbers by 4 to get the simplified ratio

4 to 1

___________________________________

Total number of students=2200

Total percent of male=52.5%

Total percent of female=100%-52.5%

=47.5%

Total number of female= 47.5% of 2200

=47.5/100*2200

=1045

So the total number of female is 1045

hope it helps

Good luck on your assignment

________________________________

Answer:

[tex]1045[/tex]

Step-by-step explanation:

[tex]no. \: \: of \: \: students = 2200[/tex]

First let's find the percentage of female.

[tex]100\% - 52.5\% = 47.5\%[/tex]

So now let's find how many female students are there in the class

[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

Answer:

<

Step-by-step explanation:

89835000000*10^-7 = 8983.5

8.9835*10^5= 898350

8983.5 < 898350

Answer:

<

Step-by-step explanation:

Simplify each of the numbers

89835000000 x 10^-7 = 8983.5

8.9835 x 10^5 = 89835

89835000000 x 10^-7 < 8.9835 x 10^5

Answer:

I think it is option C, 3-4x

Answer:

a concave polygon

Step-by-step explanation:

It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)

Answer:

A

Step-by-step explanation:

because it goes up constantly by 12

Answer:

Step-by-step explanation:

It is a function, since each student gets only one score one final exam,]

Domain is each student,

the first to last

Range is the score each student got:

(however the scoring was made)

f(each student) is a function because each student, or each element of the domain corresponds to the score, one and only one element of the range.

Answer:

The domain of f is 'the students in Mr. Well's history class'

The range of f is 'the final exam scores'

f 'is' a function because each student, or each element of the 'domain', corresponds to 'one' element of the 'range'

In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point.

therefore answer is (1,-2)

Answer:

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Answer:

Option (2)

Step-by-step explanation:

Parent function has been given as,

f(x) = [tex]\sqrt{x}[/tex]

When translated by 3 units left,

f(x + 3) = [tex]\sqrt{(x+3)}[/tex]

g(x) = [tex]\sqrt{(x+3)}[/tex]

If the translated function is stretched vertically by a scale factor = k

New function will be,

g'(x) = [tex]k\sqrt{(x+3)}[/tex]

Since a point (1, 4) passes lies on the transformed function.

g'(1) = [tex]k\sqrt{(1+3)}[/tex]

4 = 2k

k = 2

Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.

Option (2) will be the answer.

________________________________

Hey!!!

Solution,

U=4

V=-5

Now,

T=2U+4V

=2*4+4*(-5)

=8+(-20)

=8-20

=-12

So the value of T is -12.

hope it helps

Good luck on your assignment

_____________________________

Answer: 122 ft

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Tan α = opposite side / adjacent side

Where α is the angle of depression, the opposite side is the height of the window above the ground, and the adjacent side (x) is the distance between the neighbor's fence and the house.

Replacing with the values given:  

Tan 7 = 15/x

x = 15/tan 7

x = 122 ft

Feel free to ask for more if needed or if you did not understand something.  

Answer:

Negative

Step-by-step explanation:

D has the exact same value but

this time it the other way so your answer

should be -D = 3/2

Answer:

3/8

Step-by-step explanation:

1. We list all codes that start with 0 and have 0 as second digit:

2. We list all codes that start with 0 and have 1 as second digit:

3. We list all codes that start with 1 and have 0 as second digit:

4. We list all codes that start with 1 and have 1 as second digit:

5. We find the number of codes which have exactly 2 zeros: 6 codes

6. The total number of outcomes is: 16 codes

7. We find the probability that the number of codes has exactly 2 zeros: 6/16 3/8

Answer:

The probability of getting two 1's is 3/8

Step-by-step explanation:

Martha types a 4−digit code into a keypad to unlock her car doors.

The code uses the numbers 1 and 0

So the sample space of all the possible combinations is given by

1. 0 0 0 0

2. 0 0 0 1

3. 0 0 1 0

4. 0 0 1 1

5. 0 1 0 0

6. 0 1 0 1

7. 0 1 1 0

8. 0 1 1 1

9. 1 0 0 0

10. 1 0 0 1

11. 1 0 1 0

12. 1 0 1 1

13. 1 1 0 0

14. 1 1 0 1

15. 1 1 1 0

16. 1 1 1 1

So there are total 16 possible outcomes.

Now count the number of combinations that has exactly two 1's

4. 0 0 1 1

6. 0 1 0 1

7. 0 1 1 0

10. 1 0 0 1

11. 1 0 1 0

13. 1 1 0 0

So there are 6 possible outcomes with exactly two 1's

The required probability is

P(two 1's) = Number of outcomes with two 1's/Total number of outcomes

P(two 1's) = 6/16

P(two 1's) = 3/8

Therefore, the probability of getting two 1's is 3/8

Answer:

There are 40 windows on the 10th floor

Step-by-step explanation:

Since we know one cube has 4 "windows" (each hole on its side not counting top and bottom) we can calculate that for each "floor" 4 more windows are added. So in other words, if "x" equals the amount of "floors" the equation for solving this would be 4x = # of windows.

Answer:

36 ft.

Step-by-step explanation:

Use the Pythagoras Theorem.

h^2 = 10^2 + 24^2

h^2 = 676

h = √676

h = 26 ft.

Original height = 10+26 = 36 ft.

Answer:

Step-by-step explanation:

the TRee form with the ground a right triangle

let’s calculate the length of the upper part of the tree which is the hypotenuse of the triangle:

now ,using the Pythagorean theorem we get :

upper part = √(10²+24²)

                 = 26

then

the original height of the tree

= 10 + 26

= 36 ft

Answer:

1`. y = 4x+6

2. y = -6x + 29

3. y= 3x+1

4. y = x -2

5. y = 11.5x+ 3

6. y = -2x -4

Step-by-step explanation:

I think you can multiply how many are defective in a sample by how much more stuff there is

Answer:

I'm glad you asked!I couldn't fully understand it so I made it the best of my ability.

Step-by-step explanation:

1.(Please,I cannot understand it .I think it is incomplete.)

2.18 out of 270 students speak 3 languages or more.So [tex]30,330[/tex] x [tex]\frac{18}{270}[/tex] = [tex]2,002.2,002[/tex] students.

3.We would do 5,000 x [tex]\frac{2}{10}[/tex] = 1,000.

4.No, the manufacturer cannot assume the prediction is valid.

The sample size of 10 is too small compared to the size of the shipment.

5.You can use random samples by using them for graphs which numbers are too big.

Answer:

it is 3/y.

Step-by-step explanation:

the answer is 3/y because 3 comes before y in the question.

Answer:

15 dogs

12 cats

Step-by-step explanation:

Let's call the number of cats c, and the number of dogs d.

4d=5c

c+d=27

4c+4d=108

4c+5c=108

9c=108

c=12

d=27-12=15

Hope this helps!

Answer:

15 dogs and 12 cats

Step-by-step explanation:

You can draw out 27 lines or dots or smth. Then cross off 4. and then keep going. But for every four you cross off, underline or highlight 5. The four represent the cats and the 5 represent the dogs. By the end you should get 15 dogs and 12 cats. Another way you can do this is by mulitplying both the numbers by the same number until they equal 27.

4:5 (*3)

12:15

Answer:

Answer (a)

Step-by-step explanation:

(f + g)(x) would be equal to |x| + 9 - 6, which reduces to |x| + 3.

Since |x| cannot be less than zero, the range of this composite function

(f + g)(x) = |x| + 3 is [3, infinity).  That is, the smallest value is 3.  This corresponds to Answer (a).

Answer:

y = kxz²

k= y/xz²

x= 3 y = 60 z= 2

k = 60/3(2)²

k=60/12

k= 5

Hope this helps.