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2 years ago

12

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is

3.5 feet long. What is the height of the bird house?

1 answer:

astra-53 [7]2 years ago

3 0

3.5/5=14/x 20ft tall

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A photocopy machine can reduce copies to 80% of their original size. By copying an already reduced copy, further reductions can

alukav5142 [94]

<u>Part a)</u> if a page is reduced to 80%, what percent enlargement is needed to return it to its original size?

Let

x---------> the percent enlargement

we know that

the original size is the 100%

so

x*80%=100%

x=(100%/80%)

x=1.25--------> 1.25=(125/100)=125%

therefore

<u>the answer Part a) is</u>

the percent enlargement is 125%

<u>Part b)</u> Estimate the number of times in succession that a page must be copied to make the final copy less than 15% of the size of the original

we know that

A photocopy machine can reduce copies to 80% of their original size

so

Copy N 1

0.80*100%=80%

Copy N 2

0.80*80%=64%

Copy N 3

0.80*64%=51.2%

Copy N 4

0.80*51.2%=40.96%

Copy N 5

0.80*40.96%=32.77%

Copy N 6

0.80*32.77%=26.21%

Copy N 7

0.80*26.21%=20.97%

Copy N 8

0.80*20.97%=16.78%

Copy N 9

0.80*16.78%=13.42%-------------> 13.42% < 15%

therefore

<u>the answer Part b) is</u>

the number of times in succession is 9

6 0

2 years ago

Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) S

ExtremeBDS [4]

Answer:
X product of powers
Quotient of powers
Power of a power
X power of a product
Negative exponent
X zero exponent

Hope this helps ʕ•ᴥ•ʔ

5 0

2 years ago

A tank contains 8000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped into the tank at a rate of 2

OleMash [197]

Answer:

The concentration of salt in the tank approaches $35 \mathrm{g} / \mathrm{L},$

Step-by-step explanation:

Data provide in the question:

Water contained in the tank = 8000 L

Salt per litre contained in Brine = 35 g/L

Rate of pumping water into the tank = 25 L/min

Concentration of salt $\lim _{t \rightarrow \infty} C(t)=\lim _{t \rightarrow \infty} \frac{35 t}{320+t}$

Now,

Dividing both numerator and denominator by $t$ , we have

$\lim _{t \rightarrow \infty} \frac{\frac{1}{t} 35 t}{\frac{1}{t}(320+t)}=\lim _{t \rightarrow \infty} \frac{35}{\frac{320}{t}+1}=35$

Here,

The concentration of salt in the tank approaches $35 \mathrm{g} / \mathrm{L},$

3 0

2 years ago

sophie makes homemade pizza dough.The recipe calls for 2 cups of flour for every 1/3 cup of water.What is the rate in cups of fl

Zarrin [17]

Answer:

the rate is: 6 cups of flour per cup of water

Step-by-step explanation:

Recall that rate involve quotient of the two quantities in question:

Then cups of flour per cups of water is the quotient: 2 cups of flour divided by 1/3 cup of water:

$\frac{2}{\frac{1}{3} } =2\,*\,\frac{3}{1} = 6$

this means 6 cups of flour per cup of water

6 0

2 years ago

Read 2 more answers