MATHEMATICS MIDDLE SCHOOL

Can you simplify 7+4(x+5)

Answers

Answer 1
Answer: pemdas
first distribute
distributive property
a(b+c)=(ab)+(ac)
ac=a times c

so 4(x+5)=(4*x)+(4*5)=4x+20
7+4x+20=4x+27
Answer 2
Answer: 7+4(x+5),    expand the brackets by multiplying 4 & x  4 & 5
7+4x+20,    add 7 & 20 together
27+4x,        Here is the result

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Please help me with this question
PLEASEEE HELPP The water usage at a car wash is modeled by the equation W(x) = 3x3 + 4x2 − 18x + 4, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 2x3 + 2x2 − 18x − 11 C(x) = 3x3 + 2x2 − 18x + 11 C(x) = 3x3 + 2x2 − 18x − 11C(x) = 2x3 + 2x2 − 18x + 11
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Write a definition for the term perimeter
3.589 is greater than or less than 3.598

The price of an item yesterday was 180 Today, the price fell to 153 Find the percentage decrease.

Answers

The percentage decrease is 15%.

EXPLANATION

180 - 153 = 27 (price decrease)

10% of 180 = 18

5% of 180 = 9

18 (10%) + 9 (5%) = 27 (15%)

Final answer:

The price decreased by 27 and when you convert this into a percentage by dividing by the original price and then multiplying by 100, the result is a 15% decrease in the price.

Explanation:

To calculate the percentage decrease in the price, you first need to find out how much the price has fallen by. So subtract the new price (153) from the old price (180). This gives you 27.

Next, to convert this decrease to a percentage, you divide it by the original price (180) and then multiply by 100. So the calculation would be (27/180)*100 = 15%.

Therefore, the price of the item decreased by 15%.

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Marisa wants to buy a DVD player that runs for at least $150. She already saved $ 80 and plans to save an additional $ 10 each week. Write an inequality that represents this problem and explain your answer in detailed steps.

Answers

x=number of weeks
the inequality is:
10x+80≥150

Now, we solve this inequality:
10x+80≥150
10x≥150-80
10x≥70
x≥70/10
x≥7

Solution: Marisa needs to save at least 7 weeks for she can buy the DVD

What is the vertex f(x)= 5x^2+20x-16

Answers

f(x) = 5x² + 20x - 16

y = 5(x² + 4x) - 16
y + 16 = 5(x² + 4x + __)

perfect square:
x² ⇒ x * x
4x ⇒ 2*2x
2² = 4

y + 16 + 4 = 5(x² + 4x + 4)
y + 20  = 5(x+2)²

(x+2)² ⇒ (x+2)(x+2) = x(x+2) + 2(x+2) = x² + 2x + 2x + 4 = x² + 4x + 4

y = 5(x+2)² - 20

List the next four multiples of the next fraction 2/6

Answers

The four multiples of 2/6 are 4/12, 6/18, 8/24 and 10/30

What is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

What is a multiple?

A multiple of a whole number is the product of the number and any countingnumber.

e.g. 3, 6 , 9 , 12 , 15 , 18  and so on are the multiples of 3.

given number: 2/6

now, we have to find the multiples for the fraction 2/6.

So,

2/6* 2/2

= 4/12

2/6* 3/3

=6/18

2/6*4/4

=8/24

2/6* 5/5

=10/30

All the four multiples can again reducible to fraction 2/6.

Hence, the four multiples are :  4/12, 6/18, 8/24 and 10/30

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2/6   4/12   6/18  8/24   10/30  12/36  14/42   16/48

Help me please!
What is the median of this data? 48, 60, 22, 84, 36

Answers

He is wrong. You first need to put it in order before getting the middle. Like so:
22, 36, 48, 60, 84
Now cross out 22, then 84, and so on till you're left with one number (the middle number)

THE ANSWER IS 48
22 because the median is just the middle number of a set of data

What is the value 12-6•(5-3)-60

Answers

-60. Woah that confused mwah at first
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