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3 years ago

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At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are

the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
BRAINLIEST IF ANSWER

1 answer:

sertanlavr [38]3 years ago

3 0

Here u go, hope this helps

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The area of rectangle ABCD is 72. If point A and the midpoints of BC and CD are joined to form triangle, the area of that triang

vredina [299]

Answer:

27

Step-by-step explanation:

Name the midpoint of BC point M and the midpoint of CD point N.

Triangle ABM has the 1/4 the area of the rectangle, 18. Triangle ADN also has 1/4 the area of the rectangle, 18. Triangle CMN has 1/8 the area of the rectangle, 9. That is, of the rectangle area, ...

18 + 18 + 9 = 45

are not included in triangle AMN. So, the area of that triangle is ...

72 -45 = 27 . . . . units²

_____

<em>Comment on the triangle area</em>

The triangle created by joining the midpoint of the side of a rectangle with an opposite vertex will have the same dimension as the rectangle in one direction (L), and half the dimension of the rectangle in the other direction (W). Thus, where the rectangle area is LW, the triangle area is (1/2)(L)(1/2W) = (1/4)LW, 1/4 the area of the rectangle.

Similarly, if the midpoints of adjacent sides are joined to form a triangle, the area of that is (1/2)(1/2L)(1/2W) = (1/8)LW, or 1/8 the area of the rectangle.

3 0

3 years ago

Solve the equation:<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%7D%20x%5E%7B2%7D%20%2B%204%20-%201%20%3D%202" id="TexFormula1" t

Georgia [21]

Answer:

D) x = √5

Step-by-step explanation:

$\sqrt{x^{2}+4 }-1 = 2$

$\sqrt{x^{2}+4 } = 3$

$x^{2}+4 = 3^{2}$

$x^{2}+4 = 9$

$x^{2} = 9 -4$

$+x = \sqrt{5} , -x = \sqrt{5}$

3 0

2 years ago

1. When professional golfer Jordan Spieth hits his driver, the distance the ball travels can be modeled by

Doss [256]

Answer:

a. About 96% of Spieth's drives travel at least 290 yards

b. The ball has to travel about 314.24 yards

Step-by-step explanation:

* Let us explain how to solve the problem

- The distance the ball travels can be modeled by distribution with

mean 304 yards and standard deviation 8 yards

a.

- Jordan would need to hit the ball at least 290 yards to have a clear

second shot that avoids a large group of trees

- We need to find the percent of Spieth's drives travel at least

290 yards

∵ The mean μ = 304 yards

∵ The standard deviation σ = 8 yards

∵ The distance x = 290

∵ P(x ≥ 290) = P(z ≥ z)

- We need to find z score

∵ z-score = (x - μ)/σ

∴ z = $\frac{290-304}{8}$ = -1.75

* Let us use the normal distribution table to find the corresponding

area of z = -1.75

∵ P(-z) = 1 - P(z)

∵ P(z ≥ -1.75) = 1 - 0.04006 = 0.95994

∴ P(x ≥ 290) = 0.96 = 96%

* <em>About 96% of Spieth's drives travel at least 290 yards</em>

b.

- On another golf hole, Spieth has the opportunity to drive the ball

onto the green if he hits the ball a distance in the top 10% of all

his drives

- We need to find how far the ball has to travel

- Let us find the z-score from the normal distribution table for the 10%

to the right or 90% to the left

∵ The area which equivalent to 0.9 ≅ 0.89973

∴ z = 1.28

∵ z-score = (x - μ)/σ

∴ 1.28 = $\frac{x-304}{8}$

- Multiply both sides by 8

∴ 10.24 = x - 304

- Add 304 for both sides

∴ x = 314.24 yards

* <em>The ball has to travel about 314.24 yards</em>

8 0

3 years ago

I need help with this. I don't understand

nydimaria [60]

2) x+y
3)h-13
4)3.5-k
5)g+h-11
6)5-y+g
7)5-y+g

8 0

3 years ago

PLEASE HELP! Identify the rule for the function table.

fgiga [73]

Hello!

You have to find what the rule is

12/24 = 0.5
6/12 = 0.5
-6/-12= 0.5

They multiply x by 0.5

the rule is multiply x by 0.5 or y = 0.5x

Hope this helps!

4 0

3 years ago