MATHEMATICS MIDDLE SCHOOL

Solve for x: 4x² - 4x - 48 = 0

Please show steps!

Answers

Answer 1
Answer: 4x^2-4x-48, \ 4(x^2-x-12) \n\ 4(x-4)(x+3) \n\ x = 4,-3 
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Ink cartridges weigh 1/8 pound. The total weight of the cartridges in a box is 4 1/2 pounds. How many cartridges does the box contain?

Answers

4 1/2 is 9/2 as an improper fraction, then dividing that by 1/8 (same as multiply by 8) is 72/2 or 36 cartridges.

Mr. John Doe was figuring out his federal income tax. His income was $26,800, but he was able to subtract $5,500 in deductions. He paid 15% of the remaining income tax. How much did he pay?

Answers


Okay so the income tax minus the deductions will come to:

26,800 - 5,500 = 21,300

So remaining tax is 21,300.

To show that he paid 15% of it, we do:

15/100 (21300) = 3,195

So he already paid $3,195 of his income tax.


A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true?The ratio of footballs to basketballs is 2:5.


If a total of 35 footballs and basketballs were sold, 10 of them were footballs.


There were 5 footballs sold for every 2 basketballs.


The ratio of basketballs to footballs is 5:2.

Answers

C. There were 5 footballs sold for every 2 basketballs. to check just multiply 2 times 2.5 and you get 5. Hope this helped
x=number of footballs
y=number of basketballs.
then:
x=2.5y
The ratio of footballs to basketballs would be:  x/y=2.5=5/2
The ratio of basketballs to footballs would be:   y/x=1/2.5=2/5

Then: 
if x=5;  
x=2.5y
5=2.5y
y=5/2.5=2

Therefore:
The only one true statement would be:


Answer: There were 5 footballs sold for every 2 basketballs. 

Find the area of the shape shown below.

Answers

Answer:

25

Step-by-step explanation:

(7,5+2,5).2,5=25

Answer:

12.5

Step-by-step explanation:

The given figure is a trapezium .

Area of Trapezium ;

\boxed{(a + b)/(2) h}

given ;

  • A = 7.5
  • B = 2.5
  • h = 2.5

Putting given value into formula

(7.5 + 2.5)/(2) * 2.5

(10)/(2) * 2.5 \n

5 * 2.5 \n \n \implies \boxed {\purple{12.5 - answer}}

Mr grant need 30 pieces of felt .he can buy them in packs of 10 or single pieces.what are the different ways mr.grant can buy the felt?

Answers

Mr Grant can buy the felt in a variety of ways. He can buy 3 packs of10 pieces, 30 single pieces, 1 pack of 10 and 20 single pieces, or 2packs of 10 and 10 single pieces. Hope that answered your question foryou!

Explain the steps taken to write an equation from a description given in words

Answers

'more than' or 'greater' or 'sum' than means addition
'less than' is minus
'product' means divide
'quotient' means divide
'equals' or 'is' means '='
 

Sample Response:

To write an equation from a description given in words, you first have to identify and define the variable. Then you would identify the coefficient, constants, and operations between the terms. Finally, you can translate to write the equation.
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