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3 years ago

Explain how you can use a basic subtraction fact to help you solve 98-30.

Mathematics

1 answer:

solniwko [45]3 years ago

6 0

You do what I’d 9-3 , 8-0 , then combined it and you will get the right answer

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Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000 3 in3. One day, his sink is clogged. He has

jarptica [38.1K]

Answer:

Part a) $42\ cups$

Part b) $15\ cups$

Step-by-step explanation:we know that

The volume of the sink (half sphere) is equal to

$V=3,000\pi \ in^{3}$

Part a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (3)^{2}(8)=72\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{72\pi} =41.67\ cups$

Round to the nearest whole number

$41.67=42\ cups$

Part b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (5)^{2}(8)=200\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{200\pi} =15\ cups$

4 0

2 years ago

Three friends share 1/2 of a hero equally. What fraction of the whole hero does each friend get?Three friends share 1/2 of a her

RoseWind [281]

Answer:

1/6

Step-by-step explanation:

1/2, the value of the hero before being divided, divided by the 3 friends, is 1/6.

7 0

2 years ago

A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. What is the rate o

NISA [10]

Answer:

the rate of change of the area is Ra= 80 mm² per second

Step-by-step explanation:

the area of a rectangle (A) is

A = L * W , L= length and W= width

if the width remains constant the change in the area is only due to the change in length , thus:

ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length

ΔA = W ΔL

denoting Δt as the time required to change, and dividing both sides by Δt

ΔA/Δt = W ΔL/Δt

where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.

thus

Ra = W * RL

replacing values

Ra = W * RL = 8 mm * 10 mm/second = 80 mm² /second

6 0

2 years ago

The answer is A true

irinina [24]

Answer:

Are you asking? Or telling me? Sorry im not sure what you want me to do...--

Step-by-step explanation:

7 0

2 years ago

Which statement is correct?

Arisa [49]

Answer:

$2.06 \times 10^-^2 = 206$

$1.88 \times 10^-^1 = 18.8$

$206 \times 18.8 = 3,872.8$

$7.69 \times 10^-^2 = 769$

$2.3 \times 10^-^5 = 230,000$

$=\frac{769}{230000}$

= 0.00334

therefore,

3,872.80 > 0.00334

Step-by-step explanation:

Which statement is correct?

(2.06x102x1.88 x 10-1) <7.69x 10

2.3x10-5

(2.06 x 10-2)(1.88 x 10-1) 7.69x 10-

2.3x10-5

7.69 x 10"

(2.06 x 10-2x1.88x10-)>

2.3x10-5

(2.06x 10-2X(1.88x 10-1)-7.69x104

2.3x10-5

Given that;

$2.06 \times 10^-^2 = 206$

$1.88 \times 10^-^1 = 18.8$

$206 \times 18.8 = 3,872.8$

$7.69 \times 10^-^2 = 769$

$2.3 \times 10^-^5 = 230,000$

$=\frac{769}{230000}$

= 0.00334

therefore,

3,872.80 > 0.00334

7 0

3 years ago