MATHEMATICS MIDDLE SCHOOL

I REALLY NEED HELP!!!!!

Answers

Answer 1

Answer:

1) 8(3a+6) = 9(2a-4)

First, we use distributive property on both sides.

Once we do this, we get:

24a + 48 = 18a - 36

Add 36 to each side.

24a + 84 = 18a

Subtract 24a from each side.

84 = -6a

Divide each side by -6

-14 = a

2) 6(2x-8)+3 = 15

Again, we use distributive property:

12x-48+3 = 15

Subtract 3 from each side

12x - 48 = 12

Add 48 to each side

12x = 60

Divide each side by 12

x = 5

3) -5(3x+6) = -3(4m-2)

Distributive property:

-15m - 30 = -12m + 6

Add 30 to each side

-15m = -12m + 36

Add 12m from each side

-3m = 36

Divide each side by -3

m = -12

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20% of 150 is what number?

Answers

To find a number's , let's say "x%" you should multiply that number by, $\frac { x }{ 100 }$ , so we want to find 150 's 20% , so we will multiply , 150 with $\frac { 20 }{ 100 }$ , so :

$150\cdot \frac { 20 }{ 100 } \n \n We\quad can\quad simplify\quad \frac { 20 }{ 100 } \n \n \frac { 20 }{ 100 } =\frac { 2\cdot 10 }{ 10\cdot 10 } =\frac { 10 }{ 10 } \cdot \frac { 2 }{ 10 } =1\cdot \frac { 2 }{ 10 } =\frac { 2 }{ 10 } \n \n 150\cdot \frac { 2 }{ 10 } =\frac { 150\cdot 2 }{ 10 } =\frac { 300 }{ 10 } =30\n \n %20\quad of\quad 150\quad is\quad 30$

20/100 * 150 = 30

so the answer is 30

There are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as a fraction, as a decimal,and in word form

Answers

Answer:- 61 pennies in fraction= $=(61)/(100)\$ dollar

61 pennies in decimals=0.61 dollar

Explanation:-

There are 100 pennies in a dollar.

⇒1 penny $=(1)/(100)$ dollar

⇒61 pennies= $=(61)/(100)$ dollar

⇒61 pennies=0.61 dollar

Therefore,61 pennies in fraction= $=(61)/(100)\$ dollar

61 pennies in decimals=0.61 dollar

61/100

0.61

sixty one hundreths

Layla is walking in a rectangular park. She walks one side that is 50 yards and then the otherside that is 120 yards. Layla develops a cramp in her leg and walks diagonally through the park
to head back home. What is the total distance that layla walked? (HINT: Final answer is
perimeter of the triangle park)
120 yd.
PARK
PARK
50 vd
Oak St
1
Park Rd

Answers

Total distance walked by Layla is 300 yards

Solution:

Given that,

Layla is walking in a rectangular park

She walks one side that is 50 yards and then the other side that is 120 yards

Length = 120 yards

Width = 50 yards

Layla develops a cramp in her leg and walks diagonally through the park to head back home

Let us find the length of diagonal of rectangle

$d=√(w^2+l^2)$

$d = √(50^2+120^2)\n\nd = √(2500+14400)\n\nd = √(16900)\n\nd = 130$

Thus length of diagonal is 130 yards

What is the total distance that layla walked?

Given that Final answer is perimeter of the triangle park

The diagonal and length and width forms a right angle triangle

Perimeter of triangle = diagonal length + width + length

Perimeter of triangle = 130 + 50 + 120 = 300

Thus total distance walked by Layla is 300 yards

In a trivia game, each finalist must answer 4 questions correctly. Each question is worth twice as much as the question before it. The fourth question is worth $6,000. How much is the first question worth, in whole dollars?

Answers

The first question is worth 750 marks!!

Does the order of quantities in inequality matter

Answers

hey there

The order of quantities in inequality does not matter.

Evan went to the park and saw for animals animals either duck her dog if you saw total 14 legs how many of each animal did he see

Answers

this question is a little off in the wording.. 3 dogs 1 duck ??

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