MATHEMATICS MIDDLE SCHOOL

the ratio of the dimensions of a rectangular patio are 4:7. If the shorter dimension is 10 feet, what are the area and perimeter if the patio?

Answers

Answer 1
Answer: 4:7
shorter is 10
4<7
4=10 units
2=5units
1=2.5units

we need to find what 7 is
7 times 2.5=17.5


area=legnth times width
legnth=17.5
width=10
area=17.5 times 10=175

perimiter=2(L+W)
perimiter=2(17.5+10)
P=2(37.5)
P=75




AREA= 175ft^2
PERIMITER=75 ft

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Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account.Which is a reasonable estimate of the amount Donna is left with each week after the money is taken out?

Answers

Amount of money that Donna earns per week = $1404
Percentage of money taken out from Donna's income as taxes = 19%
Then
Amount of tax deducted from Donna's income = (19/100) * 1404
                                                                           = 26676/100
                                                                           = 266.76 dollars
Percentage of money that is put into Donna's retirement account = 12%
Then
Amount of money that is
put into Donna's retirement account = (12/100) * 1404 dollars
                                                           = 16848/100 dollars
                                                           = 168.48 dollars
Then
Amount of money Donna is
left with each week after deduction = 1404 - (266.76 + 168.48) dollars
                                                         = 1404 - 435.24 dollars
                                                         = 968.76 dollars
So from the above deduction we can see that the amount of money that Donna is left with each week after deductions is $968.76. It can be rounded to $969.

Answer:its $980 juss took the quiz

Step-by-step explanation

6 stools and 4 chairs cost $58 but 5 stools and 2 chairs cost $35 find the coast of each stool and each chair

Answers

We can write -

Cost of stool = $3

Cost of chair = $8

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have 6 stools and 4 chairs cost $58 but 5 stools and 2 chairs cost $35

Assume that the cost of a stool is $x and of a chair is $y. Then -

6x + 4y = 58     ..[1]

5x + 2y = 35     ..[2]

Eq[2] x 2, we get -

10x + 4y = 70   ..[3]

Eq[3] - Eq[1], we get -

10x - 6x = 70 - 58

4x = 12

x = 3

Cost of stool = $3

Cost of chair -

4y = 70 - 38

4y = 32

y = 8

Cost of stool = $3

Cost of chair = $8

Therefore, we can write -

Cost of stool = $3

Cost of chair = $8

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

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Let s = price of stools
Let c = price of charis
6s + 4c = $58 - Equation 1
5s + 2c = $35 - Equation 2
Take Equation 2 from Equation 1: s + 2c = $23 - Equation 3
Take Equation 3 from Equation 2: 4s = $12
Therefore, s = $3
Sub s into Equation 2: $15 + 2c = $35
2c = $20
c = $10

Therefore, a chair costs $10, a stool costs $3

Which equivalent fraction would you have to use in order to add 3/5 to 21/25

Answers

15/25 = 3/5 because you multiply the numerator and denominator each by 5, and 5/5 = 1.  (multiplying by 1 = equivalence)
The sum would then be 36/25 or 1 and 11/25.

How do you change a fraction to a decimal

Answers


A fraction is a short way of writing a division problem. 
When you see a fraction, it means

           (the top number) divided by (the bottom number).

If you go ahead and actually do the division, the answer to it
is the decimal form of the fraction.

Examples:

Fraction  1/2 .        1  divided by  2  =  0.5 .

Fraction  1/4 .        1  divided by  4  =  0.25 .

Fraction  3/10 .      3  divided by  10  =  0.3 .
 
To convert a Fraction to a Decimal manually, follow these steps: Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number.

IN a survey, 10% of the people said they live in a city. If 60 people said they live in a city, how many people were surveyed? Please show all work

Answers


You said:  " 10% of the people = 60 people "

' 10% ' means 0.1
' of ' means ' times '

So                                 (0.1) x (the people) =  60 people

Multiply each side by 10 :          the people = 600 people

Tom knows that in his school 10out of every 85 students are lefthanded. There are 391 students in Toms school. How many studentd in toms school are left handed

Answers

To do this, first divide 85 by 10

You get 8.5

Then, divide 391 by 8.5

You get 46

Therefore, 46 students are left-handed in Tom's school.

Hope this helped!
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