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Bess [88]
2 years ago
8

A Plumber fixed a leaky sink and charge $60 for parts and $50 per hour for labor. The total bill was $285. Write down an equatio

n that can be used to find how many hours (h) the plumber spent fixing the sink.
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
5 0

Answer:

285 = 50h + 60; 4.5 hours

Step-by-step explanation:

$50 per hour - 50h

$60 for parts - 60

$285 total

285 = 50h + 60

225 = 50h

h = 4.5

The plumber worked for 4.5 hours to fix the leaky sink

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Find the weight of the cast iron shape shown below at 0.26 pounds per cubic inch. (round to the nearest pound). The height of th
weqwewe [10]

Answer:

<u>640 pounds </u>

Step-by-step explanation:

The rest of the question is the attached figure

So, the total volume = V(cylinder ) + V(cone)

The volume of cylinder = π r² h

The volume of cone = π r² h/3

Both of the cylinder and the cone have the same diameter = 14 inches

So, the radius = 14/2 = 7 inches

The height of the cylinder is 13 inches and the height of the cone is 9 inches.

So, The volume of cylinder = π r² h = π * 7² * 13 = 2,001.2 in³

And The volume of cone = π r² h/3 = π * 7² * 9/3 = 461.8 in³

So, the total volume = 2,001.2 + 461.8 = 2,463 in³

So, the total weight = 0.26 pounds per cubic inch times the total volume

                                = 0.26 * 2463 = 640.38 pounds

                                = <u>640 pounds (to the nearest pound)</u>

6 0
2 years ago
One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side the perimeter is 38cm what are t
o-na [289]
9.3, 13.3, 15.3
Hope it helps!
7 0
2 years ago
Read 2 more answers
Find the shortest side of a triangle whose perimeter is 64 if the ratio of two of its sides is 4:3 and the third side is 20 less
Sergio039 [100]

Answer:

The shortest side of the triangle is 18

Step-by-step explanation:

Let the sides the triangle be x, y and z.

From the question, the perimeter of the rectangle is 64, that is

x + y + z = 64 ...... (1)

Also, the ratio of two of its sides is 4:3, that is x:y = 4:3, then we can write that x/y = 4/3 ⇒ 3x = 4y ...... (2)

The third side, z, is 20 less than the sum of the other two, that is

z + 20 = x + y ...... (3)

Substitute equation (3) into (1)

Then,

z + 20 + z = 64

2z +20 = 64

2z = 64 - 20

2z = 44

z = 44/2 k

z = 22

From equation (3)

z + 20 = x + y

Then, k

22 + 20 = x +y

42 = x + y

x = 42 - y ...... (4)

Substitute this into equation 2

3x = 4y

3(42-y) = 4y

126 - 3y = 4y

4y + 3y = 126

7y = 126

y = 126/7

y = 18

Substitute this into equation (4)

x = 42 - y

x = 42 - 18

x = 24

∴ x = 24, y = 18 and z = 22

Hence, the shortest side of the triangle is 18.

4 0
2 years ago
Help please n ty :P<br> sdhgfahedgewkgfzndb
Ugo [173]

Answer:

y=-3.2\\\\y=-2.2\\\\y=-1.8

Step-by-step explanation:

Insert the given x values for the given equation to find the corresponding y coordinate:

y=0.2x-2

x:-6,-1,1

Insert -6:

y=0.2(-6)-2

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

y=-1.2-2

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

y=-3.2

Insert -1:

y=0.2(-1)-2\\\\y=-0.2-2\\\\y=-2.2

Insert 1:

y=0.2(1)-2\\\\y=0.2-2\\\\y=-1.8

:Done

3 0
2 years ago
I live in a state with a 6.5% sales tax. What would the tax be for a TV with a
Sedaia [141]

Answer:

Step-by-step explanation:

500*6.5%=32.50 tax

tax is $32.50

total with tax is $532.50

4 0
2 years ago
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