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xxTIMURxx [149]
2 years ago
7

Find my number if 3/8 of it is 24.

Mathematics
2 answers:
Tresset [83]2 years ago
7 0

Answer:

64

Step-by-step explanation:

let \: the \: number = y \\ from \: the \: queston \:  \frac{3}{8} \: of \: y = 24 \\  \frac{3}{8}   \times y = 24 \\  \frac{3y}{8} = 24 \\ 3y = 8 \times 24 \\ 3y = 192 \\ divide \: bothsides \: by \: 3 \\  \frac{3y}{3}   =  \frac{192}{3}   \\ y = 64 \\ therefore \:  \: the \: number \: is \: 64

Dmitriy789 [7]2 years ago
5 0

Answer:

The number is 32

Step-by-step explanation:

Let the number be x

\frac{3}{4}  \times x = 24 \\  \frac{3x}{4}  = 24 \\ cross \: multiply \\ 3x = 24 \times 4 \\ 3x = 96 \\ x =  \frac{96}{3}  \\ x = 32

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3 years ago
Molly is raising cows. She has a pasture for them that is 0.65 square miles in area. One dimension of the pasture is 0.4 miles l
dem82 [27]

Answer:

The other dimension of the pasture (width) is 1.625\ mi

Step-by-step explanation:

In this problem I assume that the pasture has the shape of a rectangle.

Let

x -----> the length of the pasture

y -----> the width of the pasture

we know that

The area of the pasture (rectangle) is equal to

A=xy

we have

A=0.65\ mi^{2}

x=0.4\ mi

substitute and solve for y

0.65=0.4y

y=0.65/0.4

y=1.625\ mi

5 0
3 years ago
In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did
Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

<u>Let </u>

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

<u>So,</u>

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
3 years ago
find the value of n in each equation. write what n represents in the related division problem 643=4×160+n
schepotkina [342]

Answer: n = 3; n represents a remainder in a division problem.


Explanation:


1) Finding n:


i) Given: 643 = 4 × 160 + n

ii) Do the operations: 643 = 640 + n

iii) Subraction property of the equality: 643 - 640 = n

iv)  Do the operations: 3 = n

Answer: n 3


2) Meaning of n


When you divide 643 by 4 the quotient is 160 and the remainder is 3, because 160 × 4 = 640, and 643 - 640 = 3.


This is, 3 is what is left when you split 643 into 4 getting 160 whole parts (plus the remainder, 3).

3 0
3 years ago
An amusement park charges an admission fee of 30 dollars for each person,
KiRa [710]
Is that it for the question or is there a picture?
8 0
3 years ago
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