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JulijaS [17]
3 years ago
15

Assume the situations are proportional. Use the unit rate to write an equation, then solve.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0
The car would be 17 gallons of gas, because the unit rate is 34 miles per gallon. Divide 578 by 34, and there you go! You'll get 17, which is the gallons. You, my friend, have just solved for x.
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The equation 6y = 30 - 8x has solutions of (b, 1) and (a, b).<br> What are the values of a and b?
victus00 [196]

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

In this question we need to solve the linear equation for each point, first for (x,y) = (b, 1) and later for (x,y) = (a, b).

If we know that (x,y) = (b, 1), then the value of b is:

6 = 30-8\cdot b

8\cdot b = 24

b = 3

If we know that (x,y) = (a, b) and b = 3, then the value of a is:

6\cdot b = 30 - 8\cdot a

18 = 30-8\cdot a

12 = 8\cdot a

a = \frac{3}{2}

The values of a and b are a = \frac{3}{2} and b = 3, respectively.

To learn more on linear functions, we kindly invite to check this question: brainly.com/question/5101300

6 0
2 years ago
ILL GIVE U STUFFFFF PLZZZZZZZZZZZ ANSWER ITTTTTTTTT
belka [17]

Answer:

Slope: -\frac{3}{4}

Y-intercept: 399

Slope-intercept form: y=-\frac{3}{4}x+399

Step-by-step explanation:

1. The equation in Standard form is given in the problem:

3y+4y=1596

2. Then, to write the equation of the line in slope-intercept form  y=mx+b, where <em>m</em> is the slope and <em>b</em> is the y-intercept, you must solve for <em>y</em> as you can see below:

4y=-3x+1596\\y=\frac{-3x+1596}{4}\\y=-\frac{3}{4}x+399

3. Therefore, the slope and the y-intercept are:

m=-\frac{3}{4}\\b=399

5 0
3 years ago
Another one <br>Topic: Law of Indices<br>Evaluate this;<br><br>(13⁰÷5)²​
Zarrin [17]

<u>Answer:</u>

<h2>1÷25</h2>

<u>Steps:</u>

(13⁰/5)²​

(1÷5)²

1²÷5²

1÷25

7 0
3 years ago
A sign at a store reads "3 notebooks for $6". What is the price per note book
mojhsa [17]
$2 per notebook would be the correct answer
3 0
4 years ago
Read 2 more answers
Help with this please
Lera25 [3.4K]

Answer:

C) 0 <\ x OR x />7

Step-by-step explanation:

The first arrow has a closed circle which indicates greater/less than or equal to. All the values shaded are to the left of 0. So, <em>x</em> is less than or equal to 0. The second arrow also has a closed circle. Since the shaded part of the arrow is to the right of 7, <em>x</em> is greater than or equal to 7.

6 0
3 years ago
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