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eimsori [14]
3 years ago
15

Which graph represents a proportional relationship? ​

Mathematics
1 answer:
adoni [48]3 years ago
4 0

The straight line graph is the one that shows a direct, proportional relationship.

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Write the equation in standard form using integers. 4 y = -7X-5 ​
inn [45]

Answer:

4y = -7x - 5

7x + 4y + 5 = 0

Step-by-step explanation:

7 0
3 years ago
A backyard pool has a concrete walkway around it that is 5' wide on all sides the total area of the pool and the walkway is 950'
Soloha48 [4]

The dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

<h3>How to determine the dimension</h3>

For the pool, we have that;

Let the width = x feet

Length = (x+8) feet

The pool alongside the walkway gives;

Width = x + 5 + 5 = (x + 10) feet

Length = x + 8 + 5 + 5 = (x + 18) feet

Total area of the pool with walkway = 950 square feet

Note that formula for area is given as

Area = length * width = 950

Equate the length and width

(x+18)  × (x + 10) = 950

Using the  FOIL method, we have;

(x × x )+ (x × 10) + (18 × x) + (18 × 10) = 950

x² + 10x + 18x + 180 -950 = 0  

collect like terms

x² + 28x - 770 = 0

Thus, the dimensions of the pool would give a quadratic equation x² + 28x - 770 = 0

Learn more about area of a rectangle here:

brainly.com/question/14137384

#SPJ1

3 0
2 years ago
What is the weight of a bowling ball with a 5 in. radius if we know that one cubic inch weighs 1/100th of a pound?
lorasvet [3.4K]
<h2>Greetings!</h2><h3>To find the total area of the bowling ball, which we presume is spherical, the equation is:</h3>

\frac{4}{3}πr³

<h3>So we know that the radius is 5, so we can substitute that into the equation:</h3>

\frac{4}{3} x π x 5³ = 523.599 or 524 to 1dp.

<h3>Seeing as this is 524 cubic inches, we can convert this into pounds by dividing this by 100, because one cubic inch weights \frac{1}{100} as stated.</h3>

524 ÷ 100 = 5.24lb

<h3>So your answer would be B, 5.24lb.</h3>
<h2>Hope this helps!</h2>

6 0
3 years ago
In a certain Algebra 2 class of 27 students, 18 of them play basketball and 16
Bogdan [553]

Answer:

<em>The probability is 0.89 or 89%</em>

Step-by-step explanation:

<u>Probability</u>

There are n=27 students in a certain Algebra 2 class. 18 out of them play basketball and 16 of them play baseball.

We also know 3 students play neither sport. This leaves 27-3=24 students playing sports.

The probability that a randomly chosen student plays basketball or baseball is:

\displastyle p=\frac{24}{27}

Simplifying:

\displastyle p=\frac{8}{9}=0.89

The probability is 0.89 or 89%

6 0
3 years ago
Dilate by a scale<br> factor of 1/2<br> AL<br> D
Firdavs [7]

Answer:

The image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

Step-by-step explanation:

Given the triangle ΔDLW withe the vertices

  • D(0, 2)
  • L(1, 5)
  • W(5, 4)

As the scale factor 1/2 < 0, thus the image triangle will be smaller than the original triangle.

The rule of dilation is given by

Dilation: (x, y)  →  (1/2x, 1/2y), centered at (0, 0)

D(0, 2)  → D' (1/2x, 1/2y) → D' (1/2(0), 1/2(2)) = D' (0, 1)

L(1, 5)  → L'(1/2x, 1/2y) →  L'(1/2(1), 1/2(5)) = L' (1/2, 5/2)

W(5, 4)  → W'(1/2x, 1/2y) →  W'(1/2(5), 1/2(4)) = W' (5/2, 2)

Therefore, the image triangle ΔD'L'W' after the dilation by a scale factor of 1/2 will have the vertices:

  • D' (0, 1)
  • L' (1/2, 5/2) or L'(0.5, 2.5)
  • W' (5/2, 2) or W'(2.5, 2)

`The figure of the dilated image is attached below.

7 0
3 years ago
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