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TiliK225 [7]
3 years ago
15

What is the unit rate for the proportional relationship represented by the equation y=4/5x

Mathematics
1 answer:
slava [35]3 years ago
5 0

Answer:

<em>the unit rate is 0.8x per unit y</em>

<em></em>

Step-by-step explanation:

the proportional relationship is y = \frac{4x}{5}

this means that the constant of proportionality k = \frac{4}{5} = 0.8

re-writing, we have

<em>y = 0.8x</em>

<em>therefore, the unit rate is 0.8x per unit y</em>

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HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
Find the measure of two supplementary angles, ∠A and ∠B, if m∠A = (3x – 7)° and m∠B = (2x + 2)°. =180
nikklg [1K]

Answers:

Angle A = 104 degrees

Angle B = 76 degrees

=================================

Supplementary angles add to 180 degrees.

A+B = 180

(3x-7)+(2x+2) = 180

5x-5 = 180

5x-5+5 = 180+5 ... add 5 to both sides

5x = 185

5x/5 = 185/5 .... divide both sides by 5

x = 37

Use x =37 to find

Angle A = 3x-7 = 3*37-7 = 111-7 = 104 degrees

Angle B = 2x+2 = 2*37+2 = 74+2 = 76 degrees

As a check: A+B = 104+76 = 180 so that helps confirm the answer

4 0
3 years ago
F(x + 1) = 3x - 7<br> f(x) = ?<br> Cevabi kitabda=3x-10<br> Nasil yapmiş kitabda
lina2011 [118]

Answer:

<h2>f(x) = 3x + 4</h2>

Step-by-step explanation:

f(x + 1) = 3x - 7

f(x) = f(x + 1 - 1) = 3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4

Check

f(x) = 3x + 4

f(x + 1) = 3(x + 1) + 4 = 3x + 3 + 4 = 3x + 7 CORRECT

8 0
3 years ago
Write 6 ratinol numbers between - 3 and - 4<br><br>​
WARRIOR [948]

Answer:

-3.1, -3.2, -3.3, -3.4, -3.5, -3.6

Step-by-step explanation:

7 0
3 years ago
(50 POINTS)!
Yuliya22 [10]

Answer:

The answer to your question is below

Step-by-step explanation:

When a denominator has a positive exponent we change it into an expression with a negative exponent and vice-versa, when a numerator has a positive exponent, we change it into a denominator with a negative exponent.

a)   \frac{1}{p^{4}} = p⁻⁴

b) \frac{1}{25} = 25⁻¹      

4 0
3 years ago
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