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hjlf
3 years ago
7

A town in east Texas received 10 inches of rain in two DAYS. If it kept raining at this rate for a 31 day month, how much rain d

id the town receive? 11​
Mathematics
1 answer:
nydimaria [60]3 years ago
3 0
<h3>Answer: 155 inches</h3>

This is equivalent to approximately 12.917 feet.

===================================================

Work Shown:

(10 inches)/(2 days) = (x inches)/(31 days)

10/2 = x/31

10*31 = 2*x ... cross multiply

310 = 2x

2x = 310

x = 310/2

x = 155

Keep in mind that this water is being drained on a fairly continuous basis. This means that not all of the water is sticking around (we'd hope not anyway) at the same moment in time.

Note: 155 inches = 155/12 = 12.917 feet approximately.

--------------------------

Alternative method:

If the town got 10 inches in 2 days, this means it rains at a unit rate of 10/2 = 5 inches per day.

Multiply that by 31 days and we get 5*31 = 155 inches of total rain.

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Evan wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence
pentagon [3]

Answer:  A.   A=(1000-2w)*w      B. 250 feet

C.  125 000 square feet

Step-by-step explanation:

The area of rectangular is A=l*w    (1)

From another hand the length of the fence is 2*w+l=1000        (2)

L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.

Express l from (2):

l=1000-2w

Substitude l in (1) by 1000-2w

A=(1000-2w)*w        (3)   ( Part A. is done !)

Part B.

To find the width w  (Wmax) that corresponds to max of area A   we have to dind the roots of equation (1000-2w)w=0  ( we get it from (3))

w1=0  1000-2*w2=0

w2=500

Wmax= (w1+w2)/2=(0+500)/2=250 feet

The width that maximize area A is Wmax=250 feet

Part C.   Using (3) and the value of Wmax=250 we can write the following:

A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets

3 0
3 years ago
Consider a 25 factorial design. (a) How many factors and levels are considered in this factorial experiment
Bad White [126]

Answer:

Step-by-step explanation:

From the information given;

We are to take a look at a 2⁵ factorial design.

The factorial design consists of carrying out the design of equipment by testing it by modifying not the parameters one by one but by modifying several simultaneous parameters.

An experiment is termed to be a 2⁵ factorial experiment if in the experiment 5 factors are studied consecutively with each at two-level.

Thus, there are five factors and 2 levels in the experiment.

8 0
3 years ago
the pta is ordering pizza for their next meeting. they plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. ho
vova2212 [387]
10 cheese pizzas

use  simple ratio, 3:2 (3 pepperoni for every 2 cheese)
to make the ratio bigger, we substitute the "3" pepperoni for "15" pepperoni. then take the new amount, 15/3 original, you get 5. then multiply the 2 original cheese pizzas by that 5, and you get 10 cheese pizza's. 

hope that helps

5 0
3 years ago
Last summer, Marion was 3 1/2 feet tall. She was 4 inches taller than her brother Elijah. She was 1 1/4 feet shorter than her si
solniwko [45]

Answer:

Answers below

Step-by-step explanation:

Marion: 42 inches

Elijah: 38 inches

Lorie: 57 inches

Convert each to inches and solve.

Hope this helps!

8 0
3 years ago
An equation and the steps to solve it are shown below:
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S1: 7x - 4x - 2 = 6 OK
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6 0
3 years ago
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