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Margaret [11]
2 years ago
12

Help please it's 7th grade math ​

Mathematics
1 answer:
Elis [28]2 years ago
5 0

Answer:

Yes, more than one answer is possible and the numbers are 70, 74

Step-by-step explanation:

The number is not greater than 9² and not less than 8².

So the numbers between 64 and 81 which even are 64, 66, 68, 70, 72, 74, 76, 78, 80.

Here 64, 68, 72, 76 and 80 are divisible by 4.

66, 68 and 78 are divisible by 3.

But 70, 74 is neither divisible by 3 nor 4.

Answer : Yes, more than one answer is possible and the numbers are 70, 74

<em>H</em><em>O</em><em>P</em><em>E</em><em> </em><em>T</em><em>H</em><em>I</em><em>S</em><em> </em><em>H</em><em>E</em><em>L</em><em>P</em><em>S</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>H</em><em>A</em><em>V</em><em>E</em><em> </em><em>A</em><em> </em><em>N</em><em>I</em><em>C</em><em>E</em><em> </em><em>D</em><em>A</em><em>Y</em><em> </em><em><</em><em>3</em>

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Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall f
spin [16.1K]

Answer:

Part 1) 0.50 inches

Part 2) 1.14 inches

Part 3)

a) 1.25 inches

b) -0.32 inches

Step-by-step explanation:

The complete question in the attached figure

Part 1) Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall for the last June

Let

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

The difference  between the average rainfall and the actual rainfall for the last June is given by the expression

(x-y)

we have

x=0.67\ in\\y=0.17\ in

substitute

0.67-0.17=0.50\ in

Part 2) The departure from the average rainfall last July was -0.36 inches. How much rain fell last July?

we know that

The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month

Let

D -----> the departure from the average

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

so

D=y-x

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D=-0.36\ in\\x=1.5\ in

substitute the given values

-0.36=y-1.5

solve for y

y=1.5-0.36\\y=1.14\ in

Part 3)

<u>Part a)</u> How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?

<u>Part b</u>) What would the departure from the average be in August in that

situation?

Part a) How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?

Find the average rainfall for these three months

Adds the average rainfall and divide by 3

(0.67+1.5+1.57)/3=1.25\ in

Part b) What would the departure from the average be in August in that

situation?

we know that

The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month

Let

D -----> the departure from the average

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

so

D=y-x

we have

x=1.57\ in\\y=1.25\ in

substitute the given values

D=1.25-1.57=-0.32\ in

7 0
4 years ago
A local chicken farmer is constructing a set of eight pens to cage his chickens as shown in the diagram below. He has decided to
Vilka [71]
Primary equation: A(x)= (5y)(3X)
Secondary equation: 5y+3X=1000
y=200-(3X)/5
A(x)=3X(1000-3X)
A(x)=3000X-9X²

Now, find the derivative of A(x) to find the max... here's the work for that, or you could guess and check.

A'(x)=3000-18X

Set derivative equal to 0

0=3000-18X
166.6666666=X

Now test the intervals

(0,166.6666) (166.66666, 1000)
1st derivative is + 1st derivative is -

Plug the X value back into the secondary equation
5y+3(166.666666)=1000
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Answer:
X= 166.6666666666
Y=5

Please note, this is entry level calculus, and your teacher may expect you to use a different, longer route such as guess and check.
6 0
3 years ago
Pls help me I’m having a hard time
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With
Hatshy [7]
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Now we can answer:
What is the weight of the plane with 26 gallons of fuel in its tank? 
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3 0
4 years ago
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