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Talja [164]
3 years ago
11

A storage closet holds twelve boxes stacked upon each other, with each box being 10 inches high. How many feet are there between

the top of the third box and the bottom of the tenth box?
Mathematics
2 answers:
Vikentia [17]3 years ago
6 0

Answer:5

Step-by-step explanation:there are 6 boxes between the top of the 3rd box and the bottom of the 10th box.

Since each box is 10 inches tall, the length of the 6 boxes sum up to 60 inches.

and since 12 inches =1 feet,

Then 60 inches = 5 feet

How to solve

Let "y" = the unknown number of feet's

12 inches = 1 feet

60 inches = y

Cross multiply

> 12×y =60×1

> 12y =60

Divide both sides by 12 since you want the value of "y".

> 12y÷12=60÷12

So 12 cancels out leaving the final answer to be:

> y=5

scoray [572]3 years ago
4 0

Answer:

<h2>There are 5 feet between the top of the third box and the bottom of the tenth box.</h2>

Step-by-step explanation:

We just have to count how many boxes is between the top of the third one and the bottom of the tenth box, then we transform from inches to feet.

So, the problem says "from the top of the third box" this means that the inches that matters is form the fourth box. "the bottom of the tenth box" means that it's until the ninth box. In total, there are 6 boxes. If each box is 10 inches high, the total distance would be 6(10 inches) = 60 inches.

Now we have the total distance, we transform it to feet. We know that one feet is 12 inches, using the rule of three we have:

60in\frac{1ft}{12in}=5ft

60 inches are equivalent to 5 feet.

Therefore, there are 5 feet between the top of the third box and the bottom of the tenth box.

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In a school of 500 students, 160 have blue eyes, 320 have brown eyes and 20 have green eyes. In a class of 25 students how many
Bas_tet [7]
160/500= 80/250 16/50 8/25

Around 32 percent
6 0
3 years ago
In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
2
Tems11 [23]

Answer:

one board game cost 15 dollars

75/5=15

15y

y = number of board games and 15= the price of each board game

so to calculate any number of board games bought just input the number of board games bought for y in the expression 15y and you will get the price.

Step-by-step explanation:

6 0
2 years ago
Convert 86.25 into hexadecimal. ​
Romashka-Z-Leto [24]

Answer:

56.4

Step-by-step explanation:

To convert decimal number 86.25, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:

To convert integer 86 to hexadecimal, follow these steps:

Divide 86 by 16 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.

Then just write out the remainders in the reverse order to get the equivalent hexadecimal number.

86 / 16 = 5 with remainder 6

5 / 16 = 0 with remainder 5

Here is the answer to 86 decimal to hexadecimal number:

56

For converting decimal fraction 0.25 to hexadecimal number, follow these steps:

Multiply 0.25 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).

Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.

0.25 × 16 = 4 + 0

Here is the answer to 0.25 decimal to hexadecimal number:

0.4

Therefore, decimal number 86.25 converted to hexadecimal is equal: 56.4

8 0
2 years ago
Read 2 more answers
robyn uses 1/2 cup of blueberries to make each loaf of blueberry bread Explain how many loaves of blueberry bread she can make w
aev [14]
1/2 + 1/2 =1 cup + 1/2 + 1/2= 2 cups + 1/2= 2 1/2

How many 1/2 you see? 5!!
5 0
3 years ago
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