MATHEMATICS MIDDLE SCHOOL

What are the square roots of 144 over 256 ?A.
minus 12 over 16 and 12 over 16

B.
minus 12 over 18 and 12 over 18

C.
minus 9 over 16 and 9 over 16

D.
minus 72 over 128 and 72 over 128

Answers

Answer 1
Answer: You can get the solution by just testing.
Let's start with A:
12*12=144
16*16=256

Now you know that A is the correct answer.

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What is the MAD of 15, 17, 15, 17, 21, 17, 15, 21, 20, and 18
What is an improper fraction for 2 3/10
Mr. Drew wants to build a square sandbox with an area of 400 square feet. What is the total length of wood Mr. Drew needs to make the sides of the​ sandbox?
I don't understand please help me

A sock drawer contains 5 different colors of socks.

Answers

Answer:

1/5

Step-by-step explanation:

What is the probability 1/5.

The exact value of cos 13pi/8 is

Answers

Answer:

sqt root 2-sqt root 2/4

Step-by-step explanation:

Answer:

square root of 2- square root of 2 all over 4

Step-by-step explanation:

For each handmade greeting card jacqui sells,she makes a profit of $0.35. In one week,she made a profit of $42. She sell the cards for $0.75 each. A. About how many greeting cards did jacqui sell that week ?

B.about how much did she earn before paying expenses ?

Answers

The correct answers are:


A) 120 cards; and

B) $90.


Explanation:


Let x be the number of greeting cards sold that week. She earns $0.35 per card and earned $42; this gives us the equation

0.35x = 42


Divide both sides by 0.35:

0.35x/0.35 = 42/0.35

x = 120


She sold 120 cards.


She sells each card for $0.75. This means she earned

0.75(120) = $90.
To work out the number of cards sold, divide the total profit made for the week by the profit made on each card. 42/0.35 = 120. Jacqui sold 120 cards. Then to work out how much she earned before expenses (t), add her profit to the price of each card x how many cards were sold. T = 42 + (120 x 0.75). T = 42 + 09. T = 132. She earned $132 before expenses.

in the central city grand prix out of 30 cars that started the race,12 of them finished. what percent of the cars finished the race? what percent did not finished the race?

Answers

To get the answer we can use proportion.
30 ------------- 100%
12 --------------x
crossmultiply now
30x=12*100%
30x=1200%      /:30 (divide both sides by 30)
x=40% - its the percentage of cars which finished the race.
100%-40%=60% - its the answer
Subtract 12 from 30 so that you know how many DID NOT finish. 30-12=18. 
12/30 finished. Divide 12 by 30. 12÷30=0.4, and multiply by 100%. 0.4x100=40, so
40% finished.

18/30 did not finish. Divide 18 by 30.  18÷30=0.6, and multiply by 100%. 0.6x100=60, so
60% did not finish.

a pencil sits in a pencil holder that is a rectangular prism. the pencil sits on a diagonal inside the box. find the length of the pencil (the rectangle prism measures 8cm height 4cm length and 3cm width) Pythagorean theorem

Answers

the\ length\ of\ the\ pencil= the\ length\ of\ the\ diagonal=\n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = √(a^2+b^2+c^2) \n\n√(a^2+b^2+c^2) = √(8^2+4^2+3^2) = √(64+16+9) = √(89)\approx9.43\ [cm] \n\nAns.\ the\ length\ of\ the\ pencil\ is\ about\ 9.43\ [cm]
Diagonal of rectanglular prism = √a² + b² + c²

= √8² + 4² + 3²

= √89

= 9.43

Thus, the pencil is 9.43 cm long.

One positive number is 5 less than twice a second number, and their product is 117. Find the two numbers.

Answers

x,y - the numbers

one positive number is 5 less than twice a second number

(1)    x - 5 = 2y

their product is 117

(2)    xy = 117

(1)     x - 5 = 2y     add 5 to both sides

x = 2y + 5   substitute it to (2)

(2y + 5)y = 117     use distributive property

(2y)(y) + (5)(y) = 117

2y² + 5y = 117      subtract 117 from both sides

2y² + 5y - 117 = 0

2y² + 18y - 13y - 117 = 0

2y(y + 9) - 13(y + 9) = 0

(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0

y + 9 = 0    subtract 9 from both sides

y = -9

2y - 13 = 0     add 13 to both sides

2y = 13     divide both sides by 2

y = 6.5

substitute the values of y to (1)

x = 2(-9) + 5 = -18 + 5 = -13 < 0

x = 2(6.5) + 5 = 13 + 5 = 18

Answer: x = 18 and y = 6.5
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