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Degger [83]
3 years ago
11

An emergency plumber charges $65 as a call-out fee plus an additional $75 per hour. He arrives at a house at 9:30 am and works t

o repair a water tank. If the total repair bill is $195.25 at what time was the repair completed?
Mathematics
1 answer:
vlabodo [156]3 years ago
5 0

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

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The area of a rectangle is 52ft square, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions o
ira [324]
Given: A= 52ft² and l= 2w-5
know that formula for A= lw, substitute for what you know and solve for w
52=(2w-5)w -> w= -4, w=6.5 but because a width measurement can not be negative, you can eliminate w=-4. so the width is equal to 6.5ft
now input that in the equation for length and solve for l:
l=2w-5=2(6.5)-5=8 
so the length is 8 ft
3 0
3 years ago
Can I get some help?
Anika [276]

Answer:

A

Step-by-step explanation:

8x (the babysitter gets paid 8 dollars an hour, and x represents number of hours)

3 (this is the additional tip the babysitter gets; it's not dependent on the number of hours she/he works)

The babysitter will get paid the same despite babysitting two kids- no variable here is dependent on the amount of kids the babysitter babysits.

5 0
3 years ago
Read 2 more answers
Geometry: complete this proof, ASAP!!!!!!!!!!!!!!!! It’s urgent
scoray [572]

Answer:

1. AC is perpendicular to BD

1. Given

2. ACB is a right angle

2. Definition of perpendicular lines

3. Triangle ACB is a right triangle

3. Definition of right triangles

4. Angles 1 and 3 are complementary

4. Interior angles of a triangle add up to 180 degrees (Triangle Interior Angle Sum Theorem), and m<ACB = 90 degrees (definition of right angles), so m<1 + m<3 = 90 degrees (subtraction property of equality). By the definition of complementary angles, angles 1 and 3 are complementary.

7 0
2 years ago
The radius of a circle is 6 inches. What is the length of a 135-degree arc?
svp [43]
14.14 inches

Convert 135° into radians. 135*2pi/360=3pi/4.
6*3pi/4=18pi/4=9pi/2=14.14

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8 0
2 years ago
There are 3 times as many pears are oranges. If a group of children receive 5 oranges each,there will be no left over.If the sam
lozanna [386]

There are 15 oranges

<em><u>Solution:</u></em>

Let "x" be the number of oranges

Let "y" be the number of pears

Let "c" be the number of children

<em><u>There are 3 times as many pears are oranges</u></em>

Number of pears = 3 times the number of oranges

y = 3x -------- eqn 1

<u><em>If a group of children receive 5 oranges each, there will be no left over</em></u>

So, "c" children receives 5 oranges each, there will be no left over

number of oranges = 5(number of children)

x = 5c ------- eqn 2

<em><u>If the same group of children receive 8 oranges each, there will be 21 pears left over</u></em>

number of pears = 8 oranges(number of children) + 21

y = 8c + 21

<em><u>Substitute eqn 1</u></em>

3x = 8c + 21 ---- eqn 3

<em><u>Substitute eqn 2</u></em>

3(5c) = 8c + 21

15c - 8c = 21

7c = 21

c = 3

<em><u>Substitute c = 3 in eqn 2</u></em>

x = 5(3)

x = 15

Thus there are 15 oranges

6 0
3 years ago
Read 2 more answers
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