MATHEMATICS MIDDLE SCHOOL

#1 What is the value of the expression 7–3? Answers: A. –21B. - 1/343 C.1/343 D. 343
#2What is the value of the expression 1/5^-5? Answers: A. 1/3125 B.1/25 C.25 D. 3125
#3What is the value of the expression 2/4^-3?Answers: A. 1/32 B. 1/6 C.128 D.256
#4 What value of k solves the equation? K^-2=1/64 Answers: A.1/8 B. 8 C. 32 D. 128
#5 What value of n solves the equation? 4^N= 1/64 Answers: A. –3 B. 3 C. 16 D. 256

Answers

Answer 1

Answer:

First question

The given expression is

$7^(-3)$

Which can also be written as

$(1)/(7^3)= (1)/(343)$

Therefore the correct option is C.

The given expression is

$(1)/(5^(-5))$

Which can also be written as

$5^5 = 3125$

So the correct option is D

The given expression is

$(2)/(4^(-3))$

Which can also be written as

$2*4^3 = 2* 64=128$

And the correct option is C

The given equation is

$k^(-2) = (1)/(64) \n k^2 = 64 \n k^2 = 8^2 \n k=8$

So the correct option is B

The given equation is

$4^N = (1)/(64) \n 4^N = 4^(-3) \n N =-3$

And the correct option is A .

Answer 2

Answer: $\#1\ \ \ 7^(-3)= (1)/(7^3) = (1)/(343)\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n \#2\ \ \ (1)/(5^(-5))=5^5=3125\ \ \ \Rightarrow\ \ \ \ Ans.\ D\n \n \#3\ \ \ (2)/(4^(-3))=2\cdot4^(3)=2\cdot 64=128\ \ \ \Rightarrow\ \ \ Ans.\ C\n \n\#4\ \ \ K^(-2)= (1)/(64) \ \ \Rightarrow\ \ \ (1)/(K^2) = (1)/(64)\n\n .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ K^2=64 \ \ \Rightarrow\ \ K=8\ \ \Rightarrow\ \ Ans.\ B\n \n$

$\#5\ \ \ 4^N= (1)/(64)\ \ \Rightarrow\ \ \ 4^N=4^(-3)\ \ \ \Rightarrow\ \ \ N=-3\ \ \ \Rightarrow\ \ \ Ans.\ A$

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What is the sum of two intergers with different sighs is 8. Give two possible intergers

Answers

You can use positive 10 and -2 and you'll get a positive 8

Jennifer had $30 to spend on herself. She spent 1/5 of the money on a sandwich, 1/6 for a ticket at the museum, and 1/2 of it on a book. How much money does Jennifer have left over? Show all your work.

Answers

Answer:

Step-by-step explanation:

because 1/5 of 30 is 5

1/6 of 30 is 6

1/2 of 30 is 15

so you add 5+6+15

which equals 26

then you would subtract 30-26 to get how much is left over, which would be $4

Answer:

Step-by-step explanation:

1/2 is 30x.5=15 or 30/2 =15 or 50% of 30= $15

1/6 =30/6 = $5

1/5= 30/5 = $6

$15+$5+$6=$4

you could also convert into percentages to check your answer

Cual es la. Longitud de un lápiz 2

Answers

Traduje su pregunta al Inglés y respondió a esto. La longitud de un lápiz estándar número 2 es de 7,5 pulgadas, y el lápiz tiene un diámetro de unos 7 milímetros. Espero que esto ayudó☻

I translated your question to english and answered this. The length of a standard number 2 pencil is 7.5 inches, and the pencil has a diameter of about 7 millimeters. Hope this helped ☻

3 in. 4 in. 2 in. 1 in. 1 in.

Answers

12 because (4x2x1)+(2x1x2)=12

A triangle has side lengths of 13 cm 6 mm, 8 cm 9mm, and 7 cm.*What is the perimeter of the triangle in cm and mm?

*What is the perimeter of the triangle in cm only?

*What is the perimeter of the triangle in mm only?

Answers

Perimeter = side + side + side

13 cm, 6 mm
+ 8 cm, 9 mm
7 cm, 0 mm
--------------------
29 cm. 5 mm

a.) 29 cm. 5 mm.
b.) 29.5 cm.
c.) 295 mm.

The perimeter formula for a triangle is just P=a+b+c

If a=13.6 cm, b=8.9cm, c=7cm then

P=13.6+8.9+7 (cm) or 136+89+70 (mm)
P=29.5 cm or 295 mm or 29 cm 5 mm

a) 29 cm 5 mmb) 29.5 cmc) 295 mm

Five eighths plus eleven twelves

Answers

$five \ eighths \to (5)/(8) \n\n eleven \ twelves \to (11)/(12) \n\n (5)/(8)^((3)+(11)/(12)^((2)= \n\n =(15)/(24)+(22)/(24)= \n\n =\boxed{\boxed{(37)/(24)}}$

5/8 + 11/12
make the denominator the same
48 divided by 12 = 4
48 divided by 8 = 6
5 x 6 = 30
11 x 4 = 44
30/48 + 44/48
30 + 44 = 74
74 - 48 = 26
So the answer is 1 and 26/48 in its proper form.
Simplified, it would be 1 and 13/24. Mixed = 37/24 since you'll be adding 24.

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