Can anyone help me on this problem, please? It's from a section on literal equations.

Mathematics

2 answers:

saveliy_v [14]3 years ago

7 0

145 =45+20h
100=20h
h=5

Agata [3.3K]3 years ago

4 0

If he charges $145 he worked for 5 hours at $20 an hour

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Are the equations |x-3|=7 and |x|-3=7

murzikaleks [220]

Answer:

1. x=4 or x=10

2. x=-10 or x=10

No equivalent

Step-by-step explanation:

1. |x-3|=7 and x-3=7

Absoulte rules.

x-3=-7 and x-3=7

Add 3 both sides.

x-3+3=-7+3

Simplify.

-7+3=-4

x=-4

x-3=7

Add by 3 both sides.

x-3+3=7+3=10

x=10

X=-4, and X=10 is the correct answer.

________________________________

2. |x|-3=7

Add by 3 both sides.

|x|-3+3=7+3

Simplify.

7+3=10

X=10

X=-10 and X=10 is the correct answer.

______________________________

4 0

4 years ago

In parallelogram DEFG, DH = x + 3, HF = 3y, GH = 3x – 3, and HE = 5y + 4. Find the values of x and y.

Ksju [112]

We have that in this case the following equalities are met:
DH = HF
x + 3 = 3y
GH = HE
3x - 3 = 5y + 4
We then have the following system of equations:
x-3y = -3
3x-5y = 7
Resolving the system graphically we obtain the following values:
x = 9
y = 4
Note: see attached image.
Answer:
The values of x and y are:
x = 9, y = 4