Mathematics Middle School

Chad has a rope that is 20 yards long. How many pieces of rope measuring 4/7 of a yard can he divide his rope into?

Answers

Answer 1

Answer:

[tex]35\ pieces[/tex]

Step-by-step explanation:

we know that

To find the number of pieces of rope 4/7 of a yard, divide the total length of the rope by 4/7

we have that

The total length of the rope is 20 yards

[tex]\frac{20}{(4/7)}=\frac{20*7}{4}=35\ pieces[/tex]

Answer 2

Answer:

28 is the answer

Step-by-step explanation:

Related Questions

Which percents would be close to 7%? 4.8% 5.2%. 6.8%. 5.5%

Answers

6.8% because when you round it up, it would equal 7%

A bear cub weighed 64 oz in March. After three months, it weighed 31 lbs. How many lbs did the cub weigh in March?

Answers

it weight 33 oz in march

4 lbs
64 oz is 4 lbs

What is 6x – 8 = 4 written as a system?

A. y = 6x – 8
y = –4

B. y = 6x – 8
y = 4

C. y = –6x + 8
y = 4

Answers

Answer:
y = 6x - 8
y = 4
which is the second option

Explanation:
The general form of a linear system is:
y = mx + c
The given equation is:
4 = 6x - 8

Comparing the given equation with the general form, we will find that:
The system is:
y = 6x - 8
y = 4

Hope this helps :)

6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given,

6x-8=4

For A) Given system

y = 6x – 8.....................1

y = –4.....................2

Substituting y=-4 in eq 1

-4=6x – 8

6x – 8=-4, which is not the same as the given equation.

For B) Given system

y = 6x – 8.....................3

y = 4.....................4

Substituting y=4 in eq 3

4=6x – 8

6x – 8=4, which is the same as the given equation.

For C) Given system

y = -6x +8.....................5

y = 4.....................6

Substituting y=4 in eq 5

4=-6x + 8

-6x +8=4, which is the same as the given equation.

Thus, 6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.

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He height of a triangle is 9 m less than is base the area is 56 m^2 what is the length of the base?

Answers

Formula for area of triangle:
A= 1/2 bh
Where b is the base and h is the height of the triangle.
Here, h= b-9
A=56 m^2
Put values in formula.
56= 1/2 (b) (b-9)
56=b(b-9)/2
Multiply both sides by 2.
112=b^2-9b
or
b^2-9b-112=0
Factorise the equation.
b^2-16b+7b-112=0
b(b-16)+7(b-16)=0
(b+7)(b-16)=0
Using zero factor theorem.
b+7=0 or b=-7
and
b-16=0 or b=16
Ignore the value b=-7, because length cannot be negative.
So length of base=16 m

Answer: Base=16m

4n-3=-2n+9 What is the value of the variable 'n'?

Answers

4n - 3= -2n + 9
add 3n to both sides

4n= -2n +12
add 2n to both sides

6n= 12
divide both sides by 6

n= 2

Check:
4n-3=-2n+9
4(2)-3= -2(2)+9
8-3= -4+9
5=5

Hope this helps! :)

How many units are between (9,6) and (-16,6)?

Answers

[tex]d= \sqrt{(9-(-16))^2+(6-6)^2}= \sqrt{25^2}=25 [/tex]

25 units

A right rectangular prism has a length of 6 inches, a width of 9 inches, and a height of 10 inches. What is the surface area of the prism? Enter your answer in the box. in²

Answers

the
Answer=408in2
hoped i helped

Answer:

A=408in²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(9·6+10·6+10·9)=408in²

Richard caught f fish two weeks ago and 32 fish last week.
How many fish has Richard caught these last two weeks combined?
Write your answer as an expression.

Answers

Answer:

The answer is f+32

Step-by-step explanation:

The expression which represents the total fish caught by Richard is

f + 32.

What is expression?

A set of variables, constants, and mathematical operations forms an algebraic expression.

According to the given question.

The number of fishes caught by Richard two weeks ago = f

And the fish caught by Richard last week = 32

Therefore,

The expression for the total fish caught by Richard these last two weeks

= f + 32

Hence, the expression which represents the total fish caught by Richard is f + 32.

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The half-life of a radioactive substance is the average amount of time it takes for half of its atoms to disintegrate. Suppose you started with 200 grams of a substance with a half-life of 3 minutes. How many minutes have passed if 25 grams now remain? Explain your reasoning.

Answers

3 half-lives because 200/2=100 100/2=50 and 50/2=25

Answer:

It would take 9 minutes for 25 grams of the substance to remain.

Step-by-step explanation:

Radioactive substance degenerate to release particles and lot of energy. The time required for a radioactive substance to degenerate into half of its original size is termed half life. The substance continues the stages of degeneration with respect to the half life.

The given substance would have 3 stages of degeneration to achieve a mass of 25 grams with respect to the half life.

1st stage, it would degenerate to half of its original size;

= [tex]\frac{200}{2}[/tex]

= 100 grams

This occurs in 3 minutes.

2nd stage, it would degenerate to half of its previous size;

= [tex]\frac{100}{2}[/tex]

= 50 grams

This also occurs in 3 minutes.

3rd stage, it would degenerate to half of it previous size;

= [tex]\frac{50}{2}[/tex]

= 25 grams

This also occurs in 3 minutes.

We stop here due to the restriction in the question for 25 grams.

So, the total time taken for the substance to reach a mass of 25 grams

= 3 + 3 + 3

= 9 minutes

It would take 9 minutes for 25 grams of the substance to remain.

Kaylie had $1250 in her saving account. She withdrew $82 each month in order to pay for a summer vacation. How much did Kaylie have in he account at the end of eight months?

Answers

$594 would be your answer :)

What is the range of the function represented by the table?
A {2, 4, 6, 8, 10}

B {2.5, 5.0, 7.5, 10.0, 12.5}

C {2, 2.5, 4, 5.0, 6, 7.5, 8, 10, 12.5}

D {0.0, 0.5}

Answers

Answer:

{2.5, 5.0, 7.5, 10.0, 12.5}

Step-by-step explanation:

Write 3.35 as a mixed number

Answers

3.35 = 3 and 7/20.
As a mixed fraction, that is 63/20. Hope it helps! :)

(80 POINTS)
For each pair of shapes, decide whether they are congruent, similar, or neither. Choose the best answer.

Answers

Hi,

The first pair are congruent.
The second are congruent.
The third are congruent.
The fourth are similar.
The fifth are congruent.

Hope this helps!

The first figure is congruent by SSS congruency.

The second figure is congruent by ASA congruency.

The third figure is congruent by SAS congruency.

The fourth figure is Similar.

The fifth figure is congruent by ASA congruency.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

By first figure,

In both triangles, All sides are equal to each other.

Hence, The first figure is congruent by SSS congruency.

By second figure,

In both triangles, One side and two angles are equal to each other.

Hence, The second figure is congruent by ASA congruency.

By third figure,

In both triangles, Two sides and One angle are equal to each other.

Hence, The third figure is congruent by SAS congruency.

By fourth figure,

In both triangles, Ratio of there corresponding sides are equal as;

⇒ 2 : 4 = 5 : 10

⇒ 1 : 2 = 1 : 2

Thus, The fourth figure is Similar.

By fifth figure,

In both triangles, Two angles and One side are equal to each other.

Hence, The fifth figure is congruent by ASA congruency.

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mathew is 2 yards tall how many inches tall is he.

Answers

he 72 inches tall because a yard is 36 inches and 36 times 2 is 72
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Hey there!

The answer is : 72 inches
Reason: a yard is 3 ft and a foot is 12 in so ,
1 yard is 36 in and 2 yards is 72 in

Hopes this Helps u :D

What is the y intercept of y = 6x + 32?

Question 4 options:

6

6x

32

0

Answers

To find out the y-intercept of a function, we fill in x = 0

This gives us the following:
y = 6 * 0 + 32 = 0 + 32 = 32

So, the y-intercept is 32.

Final answer:

The y-intercept of y = 6x + 32 is 32.

Explanation:

The y-intercept of a linear equation is the point where the graph of the equation intersects the y-axis. In the equation y = 6x + 32, the y-intercept is the value of y when x is equal to 0. To find it, substitute 0 for x in the equation: y = 6(0) + 32. Simplify the equation to find that the y-intercept is 32.

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last summer Marion was three and a half feet tall she was 4 inches taller than her brother Elijah she was one in a quarter feet shorter than her sister Lori how tall were Elijah and Lori Last Summer

Answers

Let M be Marion, L be Lori and E be Elijah.
M = 3.5 ft.
E = M - 4/12 (since he was 4 inches shorter than Marion) = 3 1/2 - 4/12; find a common denominator (12): 3 6/12 - 4/12 = 3 2/12 = 3 1/6 ft.
L = M + 1.25 (since she was 1 1/4 feet taller than Marion) = 3.5 + 1.25 = 4.75 feet.

Find the area to the right of a z score of 2.75 under a standard normal distribution curve

Answers

It is about 0.298% as calculated by my TI-83/84 work-alike.

Three girls collected geodes in the desert. Corinne collected 11 1/8 pounds, Ellen collected 4 5/8 pounds, and Leonda collected 3 3/4 pounds. How much did Corinne collected than the other two girls?

Answers

Corinne collected 2 3/4 pounds more than Ellen and Leonda's collection combined. Here is the work that I did to get the answer (Red represents my work while highlighter represents the answer):

Answer:

2 3/4

Step-by-step explanation:

Help help help plz give me the right answer

Answers

L = large
M = Medium
S = Small

L = 3*s
M = 2*s

L + S = 2940
Substitute 3s for L
3s + s = 2940
4s = 2940
s = 2940/4
s = 735

M = 2*S
M = 2* 735
M = 1470

L = 3*S
L = 3*735
L = 2205

You should check this
L + M + S =? 2940
2205 + 735 = 2940 which checks that much of it.

)The table below shows a correct representation that 16 pounds (lb) of sugar cost $4: lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb lb $1 $1 $1 $1
true or faulse?

Answers

If 16 pounds (lb) of sugar cost $4, then the cost per pound would be

$4
---------- = $0.25 / lb (answer)
16 lb

Answer:

it is true

Step-by-step explanation:

To build a desktop you put 2 boards together . One board is 1/3 inch thick, and the other is 1/2 inch thick . How thick will the desktop be?

Answers

The answer is 5/6 inches thick

Jasmine has 50 shares of a stock. The value of each share went down by $2 today. Express the total change in value of Jasmines shares as an integer calculation.

Answers

The change is Jasmine's stock is represented by -$100.

If each stock dropped by a value of $2 and she had 50 stocks, she had a 50 x $2 change. Because The stock dropped this is a negative change.

Answer:
The rate of change would, be -$100 where the negative sign expresses a decrease in the value of total share.

Explanation:
We are given that:
Jasmine has 50 shares
Value of each share decreased by $2

This means that:
Jasmine's total shares decreased by 50*2 = $100

The rate of change would, thus, be -$100 where the negative sign expresses a decrease.

Hope this helps :)

How many different triangles can be constructed with three angles, each measuring 30°?

Answers

Okay to have a complete triangle with 3 angles it must add up to 180° So therefore if you have 30° For each angle which adds up too 90°. We're are still missing 90 more degrees. So that means we can't make a triangle at all.

What is the area of this figure ?

Answers

Remember that what you must do for this case is to calculate the area of the parallelogram and add it to the area of the rectangle.
Palelogram area:
Knowing the base and the height, the area of the parallelogram is calculated by its formula:
A1 = b * h
We have then
b = root ((- 4 - (- 10)) ^ 2+ (2-2) ^ 2) = 6
h = root ((- 7 - (- 7)) ^ 2+ (3-2) ^ 2) = 1
A1 = (6) * (1) = 6 units ^ 2
Rectangle area
A2 = L * W
We have then:
L = root ((1 - (- 2)) ^ 2 + (- 3 - (- 4)) ^ 2) = 3.16227766
W = root ((- 4 - (- 2)) ^ 2+ (2 - (- 4)) ^ 2) = 6.32455532
A2 = (3.16227766) * (6.32455532)
A2 = 20 units ^ 2
The total area is the sum of both ares:
A = A1 + A2
A = 6 + 20
A = 26 units ^ 2
Answer:
the area of this figure
A = 26 units ^ 2

What is the greatest amount of cups of green ooze any one contestant carried?

Answers

Hey there. In the comments above, let's list these fractions and convert them into decimals for a more simple comprehension level:
0; 1/8; 3/8; 1/2; 5/8; 3/4; 7/8; and 1. The converted list below will correspond with these fractions in order:
0; 0.125; 0.375; 0.5; 0.625; 0.75; 0.875; and 1.00.

Looking at these decimals, 1.00 is the greatest amount as it is the only fraction that converted to a whole number.

I hope this helps!

The fraction with the greatest amount is 1 as it is 1 whole. Therefore makeing it he largest!

In order from greatest to least:

1.

7/8 ; 0.875

3/4 ; 0.75

1/2 ; 0.5

5/8 ; 0.625

1/4 ; 0.25

3/8 ; 0.375

1/8 ; 0.125

0.

I hope this helps!
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Have a wonderful day! : )

In which quadrant is the point (0,7) located? Explain your answer.

Answers

0, 7 is placed in the top middle quadrant because the x value is 0, therefore it does not move left or right, and y is placed up into the middle. Mark Branliest. :-)

The Lee’s spend $31 on movies tickets for 2 adult and 3 children. The Smith’s spent $26 on movie tickets for 2 adults and 2 children. What are the prices for an adult and child movie ticket?

Answers

First we write the variables:
x: cost of the ticket for adults.
y: cost of ticket for children.
We write the system of equations:
2x + 3y = 31
2x + 2y = 26
We solve the system:
Step 1:
2x + 3y = 31
-2x-2y = -26
Step 2:
y = 5
Step 3:
2x + 3y = 31
2x = -3y + 31
x = (- 3y + 31) / 2
x = (- 3 * (5) +31) / 2
x = 8
Answer:
the prices for an adult and child movie ticket are:
adults = $ 8
children = 5 $

A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.Find the length of the ladder?

Answers

◆ Pythagoras Theoram ◆

Hey !!

Check the attachment.
Hope it helps you :)

The length of the hypotenuse or the ladder is 25 feet.

What is a triangle?

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.

Given, A ladder is placed 7 feet from the base of a building and reaches a point on the building that is 24 feet above the ground.

So, The base is 7 feet and the height is 24 feet.

Therefore,

Hypotenuse² = Base² + Height².

Hypotenuse = [tex]\sqrt{49 + 576}[/tex].

Hypotenuse = [tex]\sqrt{625}[/tex].

Hypotenuse = 25 feet.

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Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times much as the soft drink?

Answers

Let the cost of the soft drink = C then the price of the sandwich was 3.5 times as much = 3.5C

And

C + 3.5C = Total Cost

C + 3.5C = 9

4.5C = 9 divide both sides by 4.5

C = 9/4.5 = $2.00 for the soft drink

And 3.5C = 3.5(2.00) = $7.00 cost of the sandwich

If Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.

What are arithmetic operations?

The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.

It is given that, Kit spent $9.00 on a soft drink and a sandwich, with the food being 3.5 times as expensive as the soft drink.

Suppose the cost of the soft drink is x as a result the price of the sandwich will be 3.5x.

Total cost = $9

x+3.5x=9

4.5x=9

x=9/4.5

x= $2.00

The price of the sandwich obtained as,

=3.5x

=3.5× $2.00

=$7

Thus, if Kit bought a soft drink and a sandwich for $9.00 and the sandwich cost 3.5 times much as the soft drink the price of the sandwich and soft drinks will be $7.00 and $2.00 respectively.

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Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 weeks?

Answers

For this case, the first thing we must do is define a variable.
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:
[tex]y = 1.5x [/tex]
Then, for 5 weeks we have:
[tex]y = 1.5 (5) y = 7.5 pounds[/tex]
Answer:
A model that best represents the number of pounds of cereal she eats is:
[tex]y = 1.5x [/tex]
For 5 weeks we have:
[tex]y = 7.5 pounds[/tex]

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