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Zepler [3.9K]
3 years ago
7

Show the steps on solving

Mathematics
1 answer:
inna [77]3 years ago
3 0
0.3(12x-16) = 0.4(12-3x)
0.3 is easier written as 3/10 and 0.4 easier written as 2/5, but in this case, 4/10 would help with the other fractions

3*12x/10-16*3/10 = 12*4/10 - 3x*4/10

36x/10-48/10 = 48/10 - 12x/10

since all the fractions are divided by 10, you can remove them totally by multiplying everything with 10

36x-48 = 48 - 12x

36x + 12x = 48 + 48

Here we moved the numbers, by adding them to both sides

48x = 48*2
we can find x by dividing by 48

x = 48*2/48
since we have a 48 both over and under the fraction we can cross out both

x = 2/1 = 2
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Plz help due 2morrow 14 and 15
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Answer:

14 length of the side is 3x-7

and 15 length of side is 2x+6

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3 years ago
Hailey earned $90 for working 12 hours. How much can she earn for working 29 hours
Afina-wow [57]

Answer:

She will make 217.50 for 29 hours

Step-by-step explanation:

We can find the rate per hour by dividing the money by the number of hours

90/12 =7.5 per hour

She makes 7.50 per hour

If she works 29 hours

Money = rate * hours

           = 7.5 * 29

           =217.50

She will make 217.50 for 29 hours

8 0
3 years ago
Read 2 more answers
A cleaning company charged $125 to clean a 2500 square foot house. The same company charged $146 to clean a 3200 square foot hou
HACTEHA [7]

Answer:

The cost is y = $185

Step-by-step explanation:

Let us have points spelt out here

(2500,125) and (3200,146)

The general form of a straight line equation is;

y = mx + b

where m is slope

So to calculate the slope in this case, we have

m = (146-125)/(3200-2500)

m = 21/700 = 0.03

So we have the equation as

y = 0.03x + b

To get b, we use any of the two points

Let us use (2500,125)

So we have

125 = 0.03(2500) + b

125 = 75 + b

b = 125-75

b = 50

So the complete equation of the line is;

y = 0.03x + 50

So here, we want to find the cost of a house with 4500 square feet

simply substitute 4,500 for x

y = 0.03(4500) + 50

y = 135 + 50

y = $185

4 0
3 years ago
A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. The angle made by the la
Lady bird [3.3K]

Answer:

applying trigonometry

base= 30inches

height= 50inches

angle between ladder and ground = 59.04°

for the length of the ladder...

sin59.04 = opposite side ÷ hypotenuse

sin59. 04 = 50inches ÷ hypotenuse

0.8575 = 50 inches ÷ hypotenuse

cross multiply;

hypotenuse = 50inches ÷ 0.8575

the length of the ladder = 58.309inches

4 0
3 years ago
A repairman charges an inspection fee plus $22 per hour. A customer with a coupon for 40% off the inspection fee pays $118 for a
MakcuM [25]

Answer:

Inspection fee = $50

h = 2 hours

Step-by-step explanation:

Let

x = the inspection fee

Charge per hour = $22

Number of hours = 4

A customer with a coupon for 40% off the inspection fee

This means the customer paid 60% of the inspection fee

118 = 60% of x + 22(4)

118 = 0.6x + 88

118 - 88 = .6x

30 = .6x

x = 30/0.6

x = $50

Inspection fee = x = $50

How many hours are worked when a customer pays $94 without a coupon?

94 = 50 + 22h

94 - 50 = 22h

44 = 22h

h = 44/22

h = 2 hours

5 0
2 years ago
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