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aleksklad [387]
3 years ago
7

A computer engineer is paid $20 per hour and $12 for coming to work on time. How many hours must she work to earn a minimum of $

172?
Mathematics
1 answer:
maksim [4K]3 years ago
3 0

Answer:

8 hours

Step-by-step explanation:

Let x = the hours she work

Equation-

1.  20x + 12 = 172

2.         - 12   - 12

     20x = 160

3.   /20    /20

4.  x= 8 hours

1. Write out the equation

2. subtract 12 from both sides

3. Divide 20 on both sides

4. Your answer is 8 hours

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9-5 1/2 x - 3 (-2x+1)
Stells [14]
First, distribute the -3(-2x + 1). 
-3 x -2x = 6x      -3 x 1 = -3       -3(-2x + 1) = 6x - 3
Now we have: 
9 - 5 1/2x + 6x - 3 
Combine like terms. 
-5 1/2x + 6x = 1/2x         9 - 3 = 6
The two terms we are left with are 1/2x and 6. 
The simplified version of this expression is 1/2x + 6. 
Hope this helps!
7 0
3 years ago
Solve each system using substitution:<br> 1. 4x - 5y= -15<br> y= -3x + 22
Bumek [7]
4x - 5y = -15
y = -3x + 22

Plug in your y= equation into the y variable in the other equation

  4x - 5 (y) = -15
            ^^
y = (-3x + 22) = -15

4x - 5 (-3x + 22) = -15

Distribute

4x + 15x - 110 = -15

Combine like terms and add 110 over to -15

19x = 95

Then, divide the whole equation by 19

x = 5

Then, plug in your x into your y= equation

y = -3 (5) + 22
y = -15 + 22
y = 7

<em><u>x = 5</u></em>
<em><u>y = 7</u></em>
<em><u>(5, 7)</u></em>
3 0
3 years ago
The coordinates of the vertices of a polygon ABCD are shown on the graph
larisa [96]

Answer:

right trapezoid

Step-by-step explanation:

the coordinates form to make one right angle with one angle extending outwards more than the others, eliminating a square and a rectangle, but it still has 2 congruent sides so its a trapezoid with a right angle

5 0
3 years ago
Read 2 more answers
What is the product of − 3/11 and − 2/15? please explain.
emmainna [20.7K]

ANSWER

The product is

\frac{2}{55}

EXPLANATION

To find the product of

-  \frac{3}{11}

and

\frac{ - 2}{15}

means we should multiply the two fractions.

We multiply to obtain,

-  \frac{3}{11}  \times  -  \frac{2}{15}

=  -  \frac{3}{11}  \times  -  \frac{2}{3 \times 5}

Cancel the common factors:

=  -  \frac{1}{11}  \times  -  \frac{2}{5}

Now, multiply the numerators separately and the denominators too separately.

=  \frac{ - 1 \times  - 2}{11 \times 5}

This simplifies to,

= \frac{2}{55}

4 0
3 years ago
A field in the shape of a trapezoid has an area of 13.687.5 square yards the length of one base is 150 yards and the length of t
AURORKA [14]

This question is not correctly written

Complete Question

A field in the shape of a trapezoid has an area of 13,687.5 square yards the length of one base is 150 yards and the length of the other base is 215 yards what is the height of the trapezoid

Answer:

The height of the trapezoid is 75 yards

Step-by-step explanation:

Area of a Trapezoid = 1/2(b1 + b2) × h

Where b1 = Length of the first base

b2 = Length of the second base

h = height of the trapezoid

From the question

Area of the trapezoid = 13,687.5 yd²

b1 = Length of the first base = 150 yards

b2 = Length of the second base = 215 yards

h = height of the trapezoid

Hence, we have

13,687.5 = 1/2(150 + 215)h

13,687.5 = 365h/2

13,687.5 × 2 = 365h

h = 13687.5 × 2/365

h = 75 yards

Therefore, the height of the trapezoid is 75 yards.

7 0
3 years ago
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