A machine stamps 360 metal parts in 15 minutes. Find the unit rate in parts per hour

Answers

Answer 1
Answer: Just divide the number of parts made by the number of hours to get parts per hour.  15 minutes is 1/4 of an hour, so we divide 360 by 0.25 hours:

((360\ parts)/(0.25\ hours)) = 1440\ parts\ per\ hour
Answer 2
Answer: 15 minutes is 1/4 of an hour which is .25 hours
so all you got to do is divided the total number of metal parts divided .25 hours
360/.25=1440 metal parts in one hour

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A developer has 7 1/2 acres of land to build houses on. If each house is to be built on 1/4-acre plot, how many houses can he build?A.3
B.5
C.30
D.35

Answers

Amount of land that the developer has to build house on = 7 1/2 acres
                                                                                           = 15/2 acres
Amount of land required for building each house = 1/4 acre
Then
The total number of
houses that can be built by the developer = (15/2)/(1/4)
                                                                   = (15 * 4)/(2 * 1)
                                                                   = 15 * 2
                                                                   = 30
So the developer can make a total of 30 house with the quantity of land he has. The correct option among all the options given in the question is option "C".

The developer will build 30 total number of houses when the total area is 7 (1)/(2) acres.

The total space occupied by any object is called as its area.

The area of each house is given as  (1)/(4) acre

Total land with the developer is given as  7 (1)/(2) acre

The number of houses can be calculated as:

Assume the number of houses be x.

(1)/(4) *  x = 7 (1)/(2)

The mixed fraction in improper form can be written as:

(1)/(4) *  x =  (15)/(2)

Multiply both side by 4 to get the value of x

x = 30

Thus, the developer can build 30 plots using 7 (1)/(2)acres of land.

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How can I work out 30% of (blank) is 60?

Answers

0.3x=60\n x=200

Paulina reads an average of 20 pages each day. She has 6 days to read 10^2 pages. Will she finish her reading in 6 days? Explain

Answers

10^2 = 10*10 =100

she can read 20 pages per day, so she can read 120 pages in 6 day.
in 5 days she will read 100 pages.

yes, she will finish reading in 6 days...

If 4y = 20 then 2y - 1 equals what number

Answers

4y=20\n20/4=5\ny=5\n\n2y-1;y=5\n2*5-1\n10-1\n\boxed9\n\n\star\bowtie\star
4y = 20
y = 20 / 4
y = 5

2y - 1 = ?
2(5) - 1 = ?
10 - 1 = 9

What is 97.356 in base ten numerals

Answers

97.356

ninety seven and three hundred fifty six thousandths

As shown on the diagram, a regular pyramid has a square base whose side measures 6 inches. If the altitude of the pyramid measures 12 inches, it’s volume, in cubic inches is

Answers

The volume of the given pyramid with a squarebase whose side measures 6 inches and the altitude of the pyramid measures 12 inches is 144 cubic inches. The value is obtained by applying the formula for the volume of the pyramid as  (1)/(3) B_(A)h.

The volume of the pyramid:

The volume of the pyramid is given by the formula:

V=(1)/(3) B_(A)h

Where,

B_A is the area of the base of the pyramid and

h is the height or altitude of the pyramid

Calculating the Volume:

As shown in the diagram,

The pyramid has a squarebase whose side measures 6 inches and the altitude of the pyramid is 12 inches

Thus,

Area of the square base,

B_A =a^(2)

B_A=6^2

B_A=36 sq. inches

Height of the pyramid h = 12 inches

On substituting the values in the formula,

V=(1)/(3)B_Ah

(1)/(3) × 36 × 12

⇒ 4 × 36

⇒ 144 cubic inches

Therefore, the volume of the given pyramid is 144 cubic inches.

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Answer:

144 in³

Step-by-step explanation:

The volume of a pyramid of base area A and height h is

V = (1/3)(A)(h).

Here,

V = (1/3)(6 in)²(12 in) = 144 in³