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3 years ago

You earn $42 for washing 6 cars. How much do you earn for washing 3 cars? Find the unit rate.

Mathematics

2 answers:

antoniya [11.8K]3 years ago

6 0

Answer:

21$

Step-by-step explanation:

42÷6=7

7×3=21

koban [17]3 years ago

6 0

Answer:

21 ( unit rate is 7$ per car)

Step-by-step explanation:

First you divide 42 by 6 which equals 7

and then you do 7x3 which equals 21

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juin [17]

Idk hi what’s up with y’all and josh

7 0

3 years ago

Find the product of all real values of r for which 1/2x=r-x/7

Dahasolnce [82]

Answer:

$r = \±\sqrt{14$

$Product = -14$

Step-by-step explanation:

Given

$\frac{1}{2x} = \frac{r - x}{7}$

Required

Find all product of real values that satisfy the equation

$\frac{1}{2x} = \frac{r - x}{7}$

Cross multiply:

$2x(r - x) = 7 * 1$

$2xr - 2x^2 = 7$

Subtract 7 from both sides

$2xr - 2x^2 -7= 7 -7$

$2xr - 2x^2 -7= 0$

Reorder

$- 2x^2+ 2xr -7= 0$

Multiply through by -1

$2x^2 - 2xr +7= 0$

The above represents a quadratic equation and as such could take either of the following conditions.

(1) No real roots:

This possibility does not apply in this case as such, would not be considered.

(2) One real root

This is true if

$b^2 - 4ac = 0$

For a quadratic equation

$ax^2 + bx + c = 0$

By comparison with $2x^2 - 2xr +7= 0$

$a = 2$

$b = -2r$

$c =7$

Substitute these values in $b^2 - 4ac = 0$

$(-2r)^2 - 4 * 2 * 7 = 0$

$4r^2 - 56 = 0$

Add 56 to both sides

$4r^2 - 56 + 56= 0 + 56$

$4r^2 = 56$

Divide through by 4

$r^2 = 14$

Take square roots

$\sqrt{r^2} = \±\sqrt{14$

$r = \±\sqrt{14$

Hence, the possible values of r are:

$\sqrt{14$ or $-\sqrt{14$

and the product is:

$Product = \sqrt{14} * -\sqrt{14}$

$Product = -14$

8 0

3 years ago

Use the drop-down menus to choose the correct locations on the number line.

erastova [34]

Answer:

i) Point B is located at 0.

ii) The two points that are opposite are 5 / 5 and 10 / -5 and 5 / 5, 10 and -5, -10.

iii) Point D is located at 35.

iv) -20 is one tick mark to the left of point A.

3 0

3 years ago

Garne Problem med

Citrus2011 [14]

Total distance the rover need to travel is $D = 1miles$ .

<u>Step-by-step explanation:</u>

We have , Garne Problem med . A rover needs to travel mile to reach its destination traveled mile. a rover needs to travel 5/8 mile to reach its destination it has already travel 3/8 miles . We need to find that how much farther does the rover need to travel , Let's do it step by step:

First , rover has already traveled 3/8 miles , Let total distance to be traveled by rover is D :

⇒ $D = \frac{3}{8} + d$ , where d is distance left to cover .