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3 years ago

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.

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Eduardwww [97]

Archimedes principle comes to play in this scenario: The weight of water displaced equals the weight of the steel block.
Weight = density*volume

In other words,
Density of steel block*it volume = Density of water displaced*its volume

Therefore,
Volume of water displaced = (density of block*its volume)/Density of water = (2.5*10^3*8*10^3)/(1*10^3) = 20000 m^3 = 2*10^4 m^3

This displacement of water can be achieved by lifting the tank mechanically.

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4 years ago

The sum of 25 and twice a number is 75. Find the number.

Sever21 [200]

Answer:

Step-by-step explanation:

25*2= 50+25= 75

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3 years ago

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Need help what is the answer

melomori [17]

Answer:

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Step-by-step explanation:

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2 years ago

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QRST is a square. PQ = 2√ RU = 4 What is the length of SU? Round to the nearest tenth.

777dan777 [17]

Answer:

$SU=3.5\ units$

Step-by-step explanation:

step 1

In the isosceles right triangle PQT

PQ=PT ----> because is an isosceles triangle

Applying the Pythagoras Theorem

we have

$PQ=PT =\sqrt{2}\ units$

$QT^{2}=PQ^{2} +PT^{2}$

substitute the values

$QT^{2}=\sqrt{2}^{2} +\sqrt{2}^{2}$

$QT^{2}=4$

$QT=2\ units$

step 2

In the square QRST

$RS=QT=2\ units$

step 3

In the right triangle RSU

Applying the Pythagoras Theorem

$RU^{2}=RS^{2} +SU^{2}$

we have

$RU=4\ units$

$RS=2\ units$

substitute the values and solve for SU

$4^{2}=2^{2} +SU^{2}$

$SU^{2}=4^{2}-2^{2}$

$SU^{2}=12$

$SU=2\sqrt{3}\ units$

$SU=3.5\ units$

8 0

3 years ago

On August 2nd, 1988, a US District Court judge imposed a fine on the city of Yonkers, New York, for defying a federal court orde

Minchanka [31]

Answer:

A(t) = 1,000,000 + 10,000,000t

B(t)= 0.01 +0.02t

b) No.

Step-by-step explanation:

a) Penalty A: 1 million dollars on August 2 and the fine increases by 10 million dollars each day thereafter.

If t represents the number of days after August 2,

A(t) = 1,000,000 + 10,000,000t

Penalty B: 1 cent on August 2 and the fine doubles each day thereafter.

A(t) = 0.01 + 2t(0.01) = 0.01 + 0.02t

b) Assuming your formulas in part (a) hold for t≥0, is there a time such that the fines incurred under both penalties are equal?

To solve this, we would have to equal both formulas and solve for t.

$1,000,000 + 10,000,000t=0.01+0.02t\\9,999,999.98t=-999,999.99$

By taking a look at this equation, we see that when we solve for t, t will be a negative number. Since the formulas are valid for t≥0, we can conclude that there won't be a time such that the fines are equal.

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3 years ago