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3 years ago

Someone please help I suck at word problems!!!

Mathematics

2 answers:

Vlad [161]3 years ago

8 0

Answer:

A maximum of 350 miles can be driven.

Step-by-step explanation:

Rent of the car for a day = $75

Cost for per mile = $0.50

Let the total miles driven be = x

So, if the trip will last 3 days and the traveler can spend no more than $400, the equation can be formed as:

$(75\times3)+0.50x\leq 400$

$225+0.50x \leq400$

$0.50x \leq400-225$

$0.50x \leq175$

We get $x\leq 350$ miles

So, a maximum of 350 miles can be driven.

Kitty [74]3 years ago

7 0

(75x3)+0.50x=400
225+ 0.50x=400
-225. -225
0.50x=175

X=350 miles

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3 years ago

What two numbers are located 1/2 of a unit from 1/6 on a number line?

ella [17]

Answer:

2/3 and -1/3

Step-by-step explanation:

We have to find which two numbers on the number line are at a distance of 1/2 from 1/6.

The two numbers that are 1/2 units away from 1/6 will be:

1) $\frac{1}{6}+\frac{1}{2}\\\\ =\frac{1}{6}+\frac{3}{6}\\\\ =\frac{4}{6}\\\\=\frac{2}{3}$

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3 years ago

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Describe how you would evaluate this algebraic expression: 7-2m when m=2

Mama L [17]

Answer:

Step-by-step explanation:

Just plug in

7 - 2(2) = 3

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3 years ago

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Marina CMI [18]

Answer:

C. 15

Step-by-step explanation:

1. First, let's solve the system of equations; $-m - n = 5, m - n = -3$

Solve -m - n = 5 for m.

$-m -n = 5$
$-m-n+n=5+n$
$-m = n + 5$
$\frac{-m}{-1} = \frac{n+5}{-1}$
$m = -n - 5$

Substitute -n - 5 for m in m - n = -3.

$m - n = -3$
$-n - 5 - n = -3$
$-2n-5=-3$
$-2n-5+5=-3+5$
$-2n = 2$
$\frac{-2n}{-2} = \frac{2}{-2}$
$n = -1$

Substitute -1 for n in m = -n - 5.

$m = -n - 5$
$m = -(-1) - 5$
$m = 1 - 5$
$m = -4$

2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.

$m^2-n^2$
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$16 - (-1)^2$
$16 - 1$
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2 years ago

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Tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)

Kamila [148]

Note: your equation is a little bit unclear. Thus, I am assuming that

y = 2x+5

Anyway, the procedure remains the same. It would anyways clear your concept.

Answer:

We conclude that the ordered pair (2, 1) is a solution.

Step-by-step explanation:

Given the equation

$y = -2x+5$

Check for point (2, 1)

substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.

$y = -2x+5$

plug in x = 2 and y = 1

1 = -2(2)+5

1 = -4+5

1 = 1

R.H.S = L.H.S

TRUE

Therefore, the given ordered pairs satisifes the equation.

Hence, we conclude that the ordered pair (2, 1) is a solution.

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3 years ago