two sisters, jenny and penny, play on the same basketball team. last season they scored a combined total of 458 points. jenny scored 192 of the points. write and solve an equation to find the number of points penny scored.

Answers

Answer 1

Answer: 458-192=266 points that penny made

Answer 2

Answer: Total= 458 point
Jenny= 192 points
Penny= ?

Equation: 458- 192=x
Solve: 458-192=266

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125 percent of what number is 25

Answers

20; 125% of 20 is 25
Hope this helps :)

Given the following functions f(x) and g(x), solve f[g(10)] and select the correct answer below: f(x) = 10x + 8
g(x) = x + 9

Answers

g(10)=10+9=19
f(19)=(19x10)+8=198

Helen wants to buy round plates for her mother.the radius of plates is 1 foot. what is the plate's circumference?

Answers

The circumference is 6.28 because if u use the equation C=2piR. C=2pi1. 2(3.14)1. 6.28(1)= 6.28

Consider this scatter plot.(a) How would you characterize the relationship between the hours spent on homework and the test
scores? Explain.

(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h
of homework?

(c) What does the number 40 in Part (b) mean in the context of the situation?

Answers

A) the more time spent on homework the higher the test score

B) y =8x+40 = y=8(3)+40 = 24+40 = 64

C) 40 would be the test score if no time was spent doing homework

Answer:

We have been given the scatter plot:

(a)We can clearly see from the plot that there is direct proportion between the number of hours of homework and test scores.

Direct proportion means if hours of homework increases then test score increases and vice-versa.

(b) we have been given a function y=8x +40

We need to predict for 3 hours of homework put x=3 in above function as x represents hours of homework we get:

y=8(3)+40

y=24+40

y=64

Hence test score will be 64 for 3 hour of homework.

3x+4y=2 4x-4y=12 elimination

Answers

3x+4y=2
+ 4x-4y=12 add them since 4y and -4y can cancel out
7x=14 divide each side by 7
x=2

3x+4y=2 x=2
3(2)+4y=2 substitute
6+4y=2
-6 -6
4y=-4 divide each side by 4
y=-1

3x+4y=2
4x-4y=12
Add both
7x=14
X=2
Substitute value of x in first equation
Y=-1

What is the rule for finding the ratio of the areas of two objects if you know the scale?

Answers

Answer:

The square of the scale

Step-by-step explanation:

Scaling

Suppose we know the scale of the distances, for example, r=5. It means that for each centimeter in the drawing, it corresponds to 5 cm in the real object being scaled. If we wanted to find the ratio of the areas, we would need to scale both dimensions and the ratio would be the square of the scale factor. In our example, the ratio of the areas would be 25, i.e. each square centimeter would correspond to 25 square centimeters

The rule for finding the ratio of the areas of two objects: The square of the scale

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