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STALIN [3.7K]
2 years ago
10

A round wading pool has a diameter of 115\text{ cm}115 cm115, start text, space, c, m, end text and is 25\text{ cm}25 cm25, star

t text, space, c, m, end text deep. A hose is filling the pool at a rate of 34{,}000\text{ cm}^334,000 cm 3 34, comma, 000, start text, space, c, m, end text, cubed per minute. How long will it take to fill the pool to a depth of 20\text{ cm}20 cm20, start text, space, c, m, end text?
Mathematics
1 answer:
AveGali [126]2 years ago
8 0

Answer: 6

Step-by-step explanation:

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Lyle works at a bakery. He needs to mix 1 cup of brown sugar and 12 cup of granulated sugar to make each tray of 60 cookies. Eac
andriy [413]

Answer:

50 trays

3000 cookies

Step-by-step explanation:

We are given the following in the question:

1 cup of brown sugar and \frac{1}{2} cup of granulated sugar makes a tray of 60 cookies.

Total cups of sugar used(brown and granulated) = 1.5 cups

Number of sugar cups used by Lyle each week = 75

We have to find the number of trays made each week.

\text{Ratio} = \dfrac{\text{Cups of sugar mixture}}{\text{Number of trays}}\\\\\dfrac{1.5}{1} = \dfrac{75}{\text{Number of trays}}\\\\\Rightarrow \text{Number of trays} = \dfrac{75}{1.5} = 50

Thus, 50 trays of cookies are made each week.

Total number of cookies made each week =

=\text{Number of trays}\times \text{Number of cookies in 1 tray}\\=50\times 60\\=3000

Thus, 3000 cookies are made each week.

8 0
2 years ago
Solve for z a(t+z)=45z+67
ladessa [460]
Solve for z a(t+z)=45z+67
1. Expand
at+az=45z+67

2. Subtract at from both sides
az=45z+67-at

3. Subtract 45z from both sides
az-45z=67-at

4. Factor out the common term z
z(a-45)=67-at

5. Divide both sides by a - 45
z= \frac{67-at}{ya-45}

Answer: 
z= \frac{67-at}{a-45}
6 0
2 years ago
Read 2 more answers
Find the exact value of cos A in simplest radical form?​
Mamont248 [21]

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

3 0
2 years ago
Raj drove his car 5 times farther than Gary drives his car. Together they drive 624 miles. How many miles does Raj drive?
12345 [234]
Raj drove 124.8 miles
5 0
2 years ago
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A weather balloon has a volume of 90.0 L when it is released from sea level 101 kPa. What is the atmospheric pressure on the bal
kirza4 [7]

Answer:

<em><u>The final atmospheric pressure is 5.19 · 10⁴ Pa</u></em>

Step-by-step explanation:

Assuming that the temperature of the air does not change, we can use Boyle's law, which states that for a gas kept at constant temperature, the pressure of the gas is inversely proportional to its volume. In formula,

pV = const.

where p is the gas pressure and V is the volume

The equation can also be rewritten as

p₁ V₁ = p₂ V₂

where in our problem we have:

p₁ = 1.03 · 10₅ Pa is the initial pressure (the atmospheric pressure at sea level)

V₁ = 90.0L is the initial volume

p₂ is the final pressure

V₂ = 175.0L is the final volume

Solving the equation for p2, we find the final pressure:

p₂ = p₁ v₁ divided by V₂ = (1.01 · 10⁵)(90.0) divided by 175.0 = 5.19 · 10⁴ Pa

8 0
2 years ago
Read 2 more answers
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