MATHEMATICS MIDDLE SCHOOL

Abbie spent 5/8 of her money and saved the rest. If she spent $45. how much money did she have at first?

Answers

Answer 1

Answer:

$72

Further explanation

Given:

Abbie spent $(5)/(8)$ of her money and saved the rest.
She spent $45.

Question:

How much money did she have at first?

The Process:

Let us design a diagram that matches the above situation.

$\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$

1 unit represents 1 part of all the money she had at first.

Abbie spent $(5)/(8)$ of her money and saved the rest, that is $\boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot} \boxed{\cdot}$ or 5 of 8 units.

From the diagram she spent above, 5 units exactly match the $ 45 she spent.

$\boxed{ \ 5 \ units = \$ 45 \ }$

$\boxed{ \ 1 \ unit = \$ \ ? \ }$

$\boxed{ \ \$ 45 / 5 \ units = \$ 9 \ }$

Therefore, $\boxed{ \ 1 \ unit = \$ 9 \ }$

Abbie had 8 units at first.

Let's count how much money did she have at first.

$\boxed{ \ 1 \ unit = \$ 9 \ }$

$\boxed{ \ 8 \ unit = \$ \ ? \ }$

$\boxed{ \ = 8 * 9 \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Thus, she had $ 72 at first.

- - - - - - - - - -

Quick Steps

$(5)/(8)$ of her money at first is $45.

The money she had at first is

$\boxed{ \ \$ 45 / (5)/(8) = \ ? \ }$

$\boxed{ \ = \$ 45 * (8)/(5) \ }$

We crossed out 45 and 5.

$\boxed{ \ = \$ 9 * (8)/(1) \ }$

$\boxed{\boxed{ \ \$ 72 \ }}$

Learn more

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Keywords: Abbie spent, 5/8 of her money, and, saved the rest, if, she spent, $45, how much, she have at first, diagram, unit, part

Answer 2

Answer: She had 80 dollars at first.80/80 equals to 8/8 and that equals to 64 dollars. 5/8 equals to 45

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Andre wants to put a protector on the visible part of a book cover to keep it from tearing. The book measures 9 in. × 7 in. × 2 in.What is the total area the book protector will cover?

A. 144 sq. in.

B. 154 sq. in.

C. 162 sq. in.

D. 190 sq. in.

Answers

Total area of the book=2(9 in x 7 in)+2(9 in x 2 in) + 2(7 in x2 in)=
=2(63 in²)+2(18 in²)+2(14 in²)=126 in² + 36 in²+28 in²=190 in².

answer: D.190 in²

The number of people who attended an art conference for five days was 42,27,35,39, and 96 . Describe the effect of the outlier on the mean and median

Answers

The solution is:

The outlier is 60.

The outlier is decreasing the value of Mean by = 87.8 - 60

= 27.8

The outlier is decreasing the value of Median by = 94 - 60 = 34

What is median?

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Here, we have,

we are given that

Dukes science quiz scores are 99,91,60,94,and 95 .

we have been asked to describe the effect of the outlier on the mean and median.

Mean of the given data = 439/5

Mean of the given data= 87.8

Median of the given data after arranging in the ascending order 60,91,94,95,99 is 94.

The outlier is 60.

The outlier is decreasing the value of Mean by = 87.8 - 60

= 27.8

The outlier is decreasing the value of Median by = 94 - 60 = 34

To learn more on median click:

brainly.com/question/20425811

#SPJ2

complete question:

Dukes science quiz scores are 99,91,60,94,and 95 . Describe the effect of the outlier on the mean and median

The 96 makes the mean and median much higher that it should be.

A basketball player makes 75% of her free throws. If she made 93 free throws this season, how many has she attempted?A. 70
B. 81
C. 124
D. 125

Answers

Let us assume the number of free throws attempted this season = x
Number of free throws made = 93
Percentage of free throws made = 75%
Then
(75/100) * x = 93
3x/4 = 93
3x = 93 * 4
x = (93 * 4)/3
= 31 * 4
= 124
So the total number of free throws attempted is 124. I hope the procedure is clear enough for you to understand. You can always attempt similar type of problems on your own using the method described.

two parallel lines are graphed on a coordinate plane.how many of the lines could represent proportional relationship?Explain.

Answers

Solution:

You need minimum of two lines which are parallel or coincident to represent proportional relationship.

Suppose two lines in one dimensional plane is Coincident.These lines are represented by a and b. Then to represent proportional relationship between them ,we can write it as follows

a = K b

or, b= Ta, where K and T are proportionality constant.

→→Line in two dimensional coordinate plane, which passes through origin or are Coincident, represents proportional relationship.

1. 2 x + 3 y= 5

2. 4 x + 6 y =10

Line 2 = 2 × Line 1

2. y= k x is equation of any line passing through origin, where k is constant of proportionality between x coordinate and y coordinate.

It's not necessary that either one represents a proportional
relationship. But if either one does, then the other one doesn't.
They can't both represent such a relationship.

The graph of a proportional relationship must go through
the origin. If one of a pair of parallel lines goes through
the origin, then the other one doesn't. (If two parallel lines
both went through the origin, then they would both be the
same line.)

there are five students in the lunch line. May is 48 inches tall, Ann is 45 inches tall ,Con is 42 inches tall ,Bell is 52 inches tall, Emma is 44 inches tall. What is the difference in height between the tallest and the shortest student?

Answers

Bell is the tallest person at 52 inches, Con is the shortest person at 42 inches. So 54 - 42 = 12

12 difference because tallest fifty two in smallest 42 so just subtract 42&52

What is the answer to 7(5a-4)-1=8(k+4

Answers

If your solving for A the answer is a = 8k/35 + 62/35.
If your solving for K The answer is K = 35a - 61 over 8
If you wanna know if its linear the answer is yes, yes it is
Thats all I got for an answer

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