Mathematics Middle School

A size 8 kids shoe measures 9 2/3 inches. If 5 pairs of size 8 shoes are lined end to end, then how many inches will they cover?

A. 36 2/3 b. 48 1/3 c. 77 1/3 d. 62

Answers

Answer 1
Multiply number of kids shoes lined up (5 pairs) by inches per shoe (9 2/3").

= 5 pairs * 9 2/3 inches per shoe
convert to improper fraction

= 5 * 29/3
multiply numerators

= (5*29)/3

= 145/3
convert back to mixed number

= 48 1/3 inches


ANSWER: 5 pair of size 8 shoes lined up will be 48 1/3 inches long.

Hope this helps! :)
Answer 2

Final answer:

To find the total length that 5 pairs of size 8 shoes will cover, multiply the length of one pair by the number of pairs. The total length will be 48 1/3 inches.

Explanation:

To find the total length that 5 pairs of size 8 shoes will cover, we need to multiply the length of one pair by the number of pairs. Since a size 8 kids shoe measures 9 2/3 inches, we can multiply this by 5 to find the total length.

Step 1: Convert the mixed number,16/3, to an improper fraction:  9 2/3 = (9*3 + 2)/3 = 29/3 inches.

Step 2: Multiply the length of one pair by the number of pairs: (29/3) * 5 = 145/3 inches.

Step 3: Simplify the fraction: 145/3 = 48 1/3 inches.

Related Questions

Will mark as Brainliest.

Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height. How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?

155 ft

230 ft

232.5 ft

312.5 ft

Answers

It will reach (C) 232.5 ft.

7.68 cal/sec to Kcal/min

Answers

1 minute = 60 seconds

 first covert cal/sect o cal/min

7.68 cal/sec x 60 seconds = 460.8 cal/min

1 Kcal = 1000 cal

divide cal by 1000 to get Kcal

460.8 cal/min / 1000 = 0.4608 Kcal/min
 round answer as needed



A sided cube labeled 1-6 is rolled 200 times. An even number is rolled 115 times. Compare the theoretical probability of rolling an even number with the relative frequency of rolling an even number and select one statement.
Probability the same, Probability is smaller. Probability is larger. There's not enough information

Answers

Probability is smaller.

Answer:

Probability is smaller.

Step-by-step explanation:

On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?

Answers

Hi,
First we need to find 3.75/0.25, then multiply that with 1(same number),since 0.25 inch =1 mile
3.75/0.25=15
That means length=15 miles
Find width in the same way.
2.25/0.25=9
Width=9 miles
a=l*b
a=15*9
a=135 sq. miles
Hope this helps you.

Answer:

135 Square Miles

Step-by-step explanation:

On a map, 0.25 inches represents 1 mile. What is the area of a rectangle on the map that is 3.75 inches long and 2.25 inches wide?

270 square miles

135 square miles

48 square miles

24 square miles

Odyssey

What is the equivalently non equivalent

Answers

Answer:
1/2 and 5/8 are not equivalent

Explanation:
The term equivalent means that a number or term has the same numerator-to-denominator (proportional) ratio as another number.

1/2 and 2/4 would be equivalent because if you divide the numerator and the denominator of the second fraction by 2, the result is the 1/2.

If you divide the denominator of 5/8 by 4, the result is a 2, matching the denominator of 1/2. However, if you divide the numerator by 5, the result is 1.25, which does not match the numerator of 1/2.

Therefore, these two numbers are not equivalent.

What’s the ratio decimal of
2:3
3:7
3:6
3:8
2:5
3:7
2:4

Answers

To find the ratio decimal form, write each ratio as it's corresponding fraction, then divide. Simplify fractions, if possible.


2:3= 2/3= 0.6666666= 0.67 rounded

3:7= 3/7= 0.42857= 0.43 rounded

3:6= 3/6= 1/2= 0.5

3:8= 3/8= 0.375

2:5= 2/5= 0.4

3:7= 3/7= 0.42857= 0.43 rounded

2:4= 2/4= 1/2= 0.5


Hope this helps! :)

|-7 + 5| +6
________
4

Answers

The answer should be 2.
2 is the answer because -7+5=2+6=8➗4=2. Hope it helps

can you solve x = 29 - 3(9 - 4)

Answers

The answer is 14. The first step is to subtract 4 from 9 (in PEMDAS you always do the equation in the parenthesis). Next, multiply (M= multiply, there are no exponents) -3 by 5 which gives you -15. Now, subtract 15 from 29 and the answer is 14.

The solution of expression is.

⇒ x = 14

We have to given that,

An expression,

⇒ x = 29 - 3 (9 - 4)

Now, We can solve the expression for value of x as,

⇒ x = 29 - 3 (9 - 4)

⇒ x = 29 - 3 × 5

⇒ x = 29 - 15

⇒ x = 14

Therefore, the solution of expression is.

⇒ x = 14

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

A computer store builds custom computers by allowing customers to choose 1 of 4 different CPUs, 1 of 8 hard drives, and 1 of 3 videos cards. How many different computers are possible?

Answers

There are 96 possible combinations.

The fundamental counting principle states that the number of total options is given by multiplying the number of possibilities for each option, or
Total choices = choices x choices x ...

4*3*8 = 96

What is the value of x. Enter your answer in the box.
A triangle with 3 sides that's a right triangle the longest one is 24 then 7 then x. What is x
X=___

Answers

Use the Pythagorean theorem to find the missing side:

[tex]a^{2} + b^{2} = c^{2}[/tex]

We already know two sides, so plug those into the equation. The longest side will be c:

[tex]a = 7, c = 24[/tex]

[tex]7^{2} + b^{2} = 24^{2}[/tex]

[tex]49 + b^{2} = 576[/tex]

Subtract 49 from both sides.

[tex]b^{2} = 527[/tex]

Square root both sides to get b by itself:

[tex] \sqrt{527} = 22.9564[/tex]

[tex]b = 22.9564[/tex]

The value of x is 22.9564.
Use the Pythagorean Theorem: a² + b² = c².
a and b are the legs, c is the hypotenuse.

Refer to the picture :) I just drew a standard right triangle, *not to scale*.
The hypotenuse is always the longest side of a right triangle, so I plugged in 24 for c. I plugged in x and 7 for a and b.

x² + 7² = 24²
Square 7 and 24.

x² + 49 = 576
Subtract 49 from both sides.

x² = 527
Square root both sides to isolate and find x.

x = 23

The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?

Answers

Answer:
perimeter = 6w + 5 units

Explanation:
Perimeter of a rectangle can be calculated as follows:
Perimeter = 2(width + length)

We are given that:
width = w units
length is 5/2 units greater than twice the width. This means that:
length = 2w + 5/2

Now, substitute in the above equation to get the expression for the perimeter as follows:
Perimeter = 2(width + length)
Perimeter = 2(w + 2w + 5/2)
Perimeter = 2(3w + 5/2)
Perimeter = 2(3w) + 2(5/2)
Perimeter = 6w + 5

Hope this helps :)

Answer:

D: 6w + 5

Step-by-step explanation:

The perimeter of a rectangle can be calculated as follows:

Perimeter = 2(width + length)

We are given that:

width = w units

length is 5/2 units greater than twice the width. This means that:

length = 2w + 5/2

Now, substitute in the above equation to get the expression for the perimeter as follows:

Perimeter = 2(width + length)

Perimeter = 2(w + 2w + 5/2)

Perimeter = 2(3w + 5/2)

Perimeter = 2(3w) + 2(5/2)

Perimeter = 6w + 5

Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.

Answers

Consecutive integers are numbers one after the other on the number one (ie. 1,2,3,4,5 or 203,204,205).

times= multiplication
sum= addition
more than= addition
is= equal sign

x= first integer
x+2= second integer
x+3= third integer

3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses

3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses

(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses

6x + 6= 5x + 15 + 8

6x + 6= 5x + 23
subtract 5x from both sides

x + 6= 23
subtract 6 from both sides

x= 17 first integer

x + 1= 17 + 1= 18 second integer

x + 2= 17 + 2= 19 third integer


CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108


ANSWER: The three consecutive integers are 17, 18 and 19.

Hope this helps! :)

A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that holds 8 times as much.

The answer is not $1,000 or $8,000 or $64,000

Answers

To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is.  This would be what you will multiply $125 by.

Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).  

Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger.  This means the price would be 4 times as much.
$125 x 4 = $500.

It will cost $500 to gold plate the similar jewelry box.

 WILL GIVE BRAINLIESTWhich of the following represents the ratio of the hypotenuse to the given side

Answers

The hypotenuse is 6√2 .
The 'given' side is the one with the length marked.  That's 6 .
Their ratio is

6√2 / 6 .

In simplest form, that's √2 .  (B)

LMN≅PQR



What is the value of x in degrees?



Enter your answer in the box.



​x​ = °

Answers

LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.

Point Q has an angle of 72, which means that point M also has an angle of 72.

Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:

72 + 36 + x = 180

Subtract 36 from both sides.

72 + x = 144

Subtract 72 from both sides.

x = 72

The angle of point L, x, is 72.


Answer:

Step-by-step explanation:

72

if a hot air balloon descends at a rate of 320 feet per min for 3 mins what is its total change in altitude

Answers

You're told that the hot air balloon lowers itself (descends) by 320 feet a minute. That means for each minute that passes, the altitude changes by 320 feet.

Since you want to find the total change in altitude in 3 minutes, you would need to multiply 320 feet/min by 3 minutes. (Remember multiplication is the same thing as repeated addition, and you're repeatedly adding a change in 320 feet for every minute that passes):
[tex]320 \: ft/min \times 3 \: minutes = 960 \: ft[/tex]

-------

Answer: The total change in altitude is 960 feet.

the rules of a contest say that there is a 5% chance of winning a prize. four hundred people enter the contest. predict how many people will win a prize

Answers

20 people.
400 times 0.05 is 20
20 times 20 is 400
5 times 20 is 100
therefore, 20 people

A percentage is a way to describe a part of a whole.  The number of winners in the contest is 20.

What is the Percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is given that the chances of winning a prize are 5%, and 400 people enter the contest, therefore, the number of people who will be winning is 5% of the number of contestants.

[tex]\text{Number of Winner} = 5\%\ \text{of the Number of Contestants}\\\\\text{Number of Winner} = \dfrac{5}{100} \times 400 = 20[/tex]

Hence, the number of winners in the contest is 20.

Learn more about Percentages:

https://brainly.com/question/6972121

Please help on the fraction question

Answers

Im pretty sure the answer is 10. Hope this helped.

10 4/5 is the answer

a jewelry store buys 24 necklaces for $300. the store wants to make a profit of $540. assuming it sells all 24 necklaces, how much should the store charge for each necklace?

Answers

If its meaning making a profit after the $300 then:
540+300=840
840/24= 33.60
They would charge $33.60 per necklace.

If you were meaning a profit of $540 total then:
540/24=22.5
They would charge $22.50 per necklace.

Answer:

i agree with the other person

Step-by-step explanation:

Factor the quadratic expression Completely; -8x^2-15x+2

Answers

Answer:
(x + 2)(-8x + 1) or,
(-8x + 1)(x + 2)

Explanation:
To factor quadratic equations in the form ax² + bx + c that cannot be factored in your head, the first step is to find factors for the product of coefficient a and constant c whose sum equates to coefficient b. This may sound confusing, but it is easier in practice.

So, we find the product of -8 and 2 which is -16.
Now we list the factors of -16. I like to list them as factor pairs. These are:
1, -16, 2, -8, 4, -4, 8, -2, 16, -1

Next, we examine which combination of factor pairs has a sum of -15. These are -16 and 1. To check: -16 + 1 = -15

Then, we place these values as coefficients into the original equation as substitutes for -15x and find factor out the greatest common factor (GCF) of the equation terms:
-8x² - 16x + x + 2
(-8x² - 16x) + (x + 2)

The GCF between -8x² and -16x is -8x. The GCF between x and 2 is 1.
-8x(x + 2) + 1(x + 2)

If these binomials within the parenthesis match, then you have found the factors. The binomial within the parenthesis is one factor and the GCFs outside of each binomial are is the other factor. Thus, the factors of the original quadratic expression are:
(-8x + 1)(x + 2)

To check these factors for accuracy, we can use the FOIL method to expand the expression, combine like terms, and observe if it matches the original equation. FOIL stands for Firsts, Outsides, Insides, and Lasts, instructing which terms of each binomial are multiplied together.
Firsts: -8x(x) = -8x²
Outsides: -8x(2) = -16x
Insides: 1(x) = x
Lasts: 1(2) = 2

In an equation: -8x² - 16x + x + 2 → -8x² - 15x + 2
This is the original equation, therefore (-8x + 1)(x + 2) are accurate factors.

you are dealt one card from a standard 52-card deck. Find the probability of being dealt a 3.

Answers

[tex]|\Omega|=52\\ |A|=4\\\\ P(A)=\dfrac{4}{52}=\dfrac{1}{13}\approx7.7\% [/tex]

Donna wants to draw a right triangle. She wants the hypotenuse to be 1.5 inches long and one of the legs to be 1.2 inches long. Enter the length that she must use for the second leg to form a right triangle.

Answers

We will use the pythagorean theorem to answer this problem. a^2+b^2=c^2, where a and b are the legs of the right triangle, while c is the hypotenuse.
Since the measurements for one of the legs and the hypotenuse are already given, this leaves out only with one unknown, which we may say the "a" leg.

Substituting the given values, we have a^2 + (1.2)^2 = (1.5)^2. Simplying the exponents, we have a^2+1.44 sq.inches = 2.25 sq.inches. Now, isolating the unknown, a^2 = 2.25 - 1.44 sq.inches. Further, we have a^2 = 0.81 sq.inches. Therefore, a = √0.81 sq.inches or a = 0.9 inch.

Need help with 2 3 4 5 6

Answers

Answer:

all answers are shown and pictured

Asher pays 156 every 6 weeks for piano lessons what is the price per year for piano lessons

Answers

356 days in a year / 7 days in a week = 50.8 weeks in a year

50.8 weeks in a year / 6 weeks = 8.48 payments

$156 x 8.48 payments = $1322.88 per year

Evaluate square root of 24 - x when x = 6 . Write the answer in simplified radical form.?

Answers

So, first we input 6
24 - 6 = 18
So we now need to find the square root of 18
If you're allowed to use a calculator, the square root is 4.242

But if you don't, let's get as close as we can:
√(9 * 2)
Because the square root of 9 is 3:
3 * √2

The perimeter of a rectangle is dependent on the length of each of its sides. Suppose the base of a rectangle is two more than its height. Complete an input/output table for at least three pairs of inputs and outputs. Make sure to use values that make sense within the context of this situation.

Answers

let
x---------> length of the base of a rectangle 
y--------->height of the base of a rectangle 

we know that
perimeter of a rectangle=2*[x+y]
and
x=y+2------> y=x-2


step 1
inputs
x=3
x=5
x=10

step 2
find the outputs

for x=3
y=x-2----> y=3-2-----> y=1
perimeter=2*[3+1]-----> 8

for x=5
y=x-2----> y=5-2-----> y=3
perimeter=2*[5+3]-----> 16

for x=10
y=x-2----> y=10-2-----> y=8
perimeter=2*[10+8]----->36

see the attached table

What is (x-5)1/2+5=2

Answers

For this case we have the following expression:
 (x-5) 1/2 + 5 = 2
 Rewriting correctly we have:
 (x-5) ^ (1/2) + 5 = 2
 Clearing x we have:
 (x-5) ^ (1/2) = 2-5
 (x-5) ^ (1/2) = -3
 (x-5) = root (-3)
 x = 5 + i * root (3)
 Answer:
 The value of x is given by:
 x = 5 + i * root (3)

Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?

Answers

Percentage of tress under 30 = 6/75 x 100 = 8%

Answer: 8%

Answer:

8%

Step-by-step explanation:

In a circle,which ratio is equivalent to pi?

Answers

It is approximately equal to 3.14159. It can be simplified to 3.14
22/7 is the correct answer, hope this helps!:)

the perimeter of a triangle is 75 cm. The triangle is isosles now, but if its base were lenghthened by 2 cm and each leg were shortened by 7 cm, it would be equilateral. find the length of the base of the original triangle

Answers

(-14)+2=(-12)

75-12=63

63/3=21

21-2=19     BASE=19

21+7=28  EACH LEG=28

28+28+19=75

new triangle 21+21+21

19+2=21

28-7=21

Final answer:

To find the original base length of the isosceles triangle, we set up equations based on the given perimeter and the condition for the triangle turning into an equilateral triangle after changes to its sides. Solving these equations, we find that the original base length is 19 cm.

Explanation:

The student is asking about solving a problem related to the perimeter of an isosceles triangle and finding the original base length given certain conditions that would turn it into an equilateral triangle.

In the original isosceles triangle, we'll denote the equal sides as 'a' and the base as 'b'. Since the perimeter is the sum of all sides, we have:

a + a + b = 75 cm

When altered, the base becomes 'b + 2 cm' and the equal sides become 'a - 7 cm'. To form an equilateral triangle, all sides must be equal:

b + 2 = a - 7

Simplifying gives us two equations:

2a + b = 75b + 2 = a - 7

Rearranging the second equation we get a = b + 9. Substituting 'a' in the first equation we get:

2(b + 9) + b = 75

Which simplifies to:

3b + 18 = 75
b = 19 cm

Therefore, the length of the base of the original isosceles triangle is 19 cm.

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