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lbvjy [14]
2 years ago
12

Michael drives to work each day. He travels a total of 160 miles at the end of the work week. How far is Michael's house from wo

rk?
Mathematics
1 answer:
kobusy [5.1K]2 years ago
4 0

Answer:

16 miles

Step-by-step explanation:

Assume the working day in a week is 5.

Given:

Michael drives 160 miles at the end of the work week. therefore as per assumption,

5 days of travelling distance = 160 miles

To find the distance of Micheal's house from work.

Solution:-

5 days of travelling distance = 160 miles --------------------(given)

Now,

Per day driving for work = \frac{5\ days\ of\ travelling\ distance}{5}

Per day driving for work = \frac{160}{5}

Per day driving for work = 32\ miles

So, Micheal drives to work each day is 32 miles.

Therefore, the one side driving of Micheal is equal to distance of Micheal's house from work.

One side driving of Micheal = \frac{Per\ day\ driving}{2}

One side driving of Micheal = \frac{32}{2}

One side driving of Micheal = 16 miles

Therefore, the distance of Micheal's house from work is 16 miles.

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8w-15=57 two step equations
insens350 [35]

Answer:

w=9

Step-by-step explanation:

Our equation is: 8w-15=57

Add 15 to both sides

-15 is now gone because we added 15 so it would be zero

and we have 72 because 15 plus 57 is 72

Now we have:

8w=72

Divide by 8 on both sides

8w cancels out to just w

and 72 divided by 8 is 9

And you're left with:

w=9

       

7 0
3 years ago
HELPPPP ME PLZZZZ!!!!!!
mihalych1998 [28]
<h3>Answers:</h3>

14.  Each leg is   21\sqrt{2}  units long.

15 (a). The longer leg is 7\sqrt{3}  units long

15 (b). The hypotenuse is 14 units long

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

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

y = x\sqrt{2} where x is the leg and y is the hypotenuse

Let's solve for x

y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\

Now plug in the given hypotenuse y = 42, this leads to,

x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\

---------------------------

For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.

The longer leg is equal to sqrt(3) times the short leg. The longer leg is 7\sqrt{3}

5 0
2 years ago
Which of the following could be a rational number
finlep [7]
I dont know you tell me?
5 0
2 years ago
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PLEASE ANSWER Solve for x. Round to the nearest tenth, if necessary.
liubo4ka [24]

Answer:

above is the solution to the question

8 0
2 years ago
Solve the two-step equation. 0. 45x 0. 33 = -0. 66 What is the solution? x = -2. 2 x = -1. 4 x = 1. 4 x = 2. 2.
Maurinko [17]

Solution is x = -2.2

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

<h3>Simplification</h3>

Simplification is to make something easier to do or understand and to make something less complicated.

Given

The linear equation 0.45x + 0.33 = -0.66

<h3>To find </h3>

The value of x.

<h3>How to find the value of x?</h3>

The linear equation 0.45x + 0.33 = -0.66 is given.

On simplifying,

0.45x + 0.33 = -0.66

          0.45x = -0.66 - 0.33

          0.45x = -0.99

                  x = -2.2

Hence, the value of x is -2.2.

Solution is x = -2.2

More about the linear system link is given below.

brainly.com/question/20379472

8 0
2 years ago
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