Mathematics Middle School

Convert 0.656 to a fraction. A. 21⁄32 B. 22⁄30 C. 20⁄33 D. 23⁄12

Answers

Answer 1

The answer is A. 21/32

Answer 2

none of these options. .656 simplifies down to 82/125

Related Questions

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

8n+3n-n+3n+5n I need help with this

Answers

Hey there!

This problem is simply about combining like terms. Like terms in this scenario is anything with a similar or different coefficient and the same variable. Here, we see that everything is a like term, because they all have n as their variable.

When we have this situation, we can simply add or subtract the number like normal, and keep that n there. We have:

8n + 3n - n + 3n + 5n =
11n - n + 3n + 5n

Let's think about how to subtract that n. When we have 11n, we have n + n + n... 11 times. That's why multiplication is repeated additon. If we subtract one n, we take one n out to get 10n. We have:

10n + 3n + 5n = 13n + 5n =
18n

Hope this helps!

Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies and platies for his aquarium. He bought 3 guppies and 4 platies for a total of $18.33. Find the price of a guppy and the price of a platy.

Answers

The price of a guppy and the price of a platy are $3.19 and $2.19 respectively.

What is equation?

A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.

Given:

Marta bought 3 guppies and 2 platies for a total of $13.95,

Hank bought 3 guppies and 4 platies for a total of $18.33,

Write the equation of the above statements as shown below,

3g + 2p = 13.95

3g + 4p = 18.33

Here, g is the price of guppies and p is the price of platies,

Solve the above equation by elimination as shown below,

3g + 2p - (3g + 4p) = 13.95 - 18.33 (Subtract equation from each other)

3g + 2p - 3g - 4p = -4.38

- 2p = -4.38

p = 4.38 / 2

p = $2.19 and,

3g = 18.33 - 4 × 2.19

3g = 9.57

g = 9.57 / 3

g = $3.19

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The cost of a television is $429.99 after sales tax is added. If the sales tax is 7.5%, what was the cost of the television before sales tax was added? (A) $377.74 (B) $389.46 (C) $397.74 (D) $399.99 (E) $459.27

Answers

The total cost before sales tax is $399.99

The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.

The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.

To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).

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:

What is the b in 8b=5.6

Answers

b = 0.7 because 5.6 divided by 8 equals 0.7! Hope this helpz...

b = .7

Explanation: Since we are doing multiplication (8 * b) we would now do the inverse operation which is dividing. First, it's 5.6 divided by itself so we can cross that out, then 8 divided by 5.6 = .7

If we put 8 * .7 in a calculator, sure enough, it comes out as 5.6

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.

what is between 3/8 in a number line

Answers

Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
[tex]3 \leqslant x \leqslant 8[/tex]
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
[tex]3 < x < 8[/tex]
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.

If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.

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
please mark as brainliest

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

Jessie set up a lemonade stand for three days. On Saturday she sold 10 and 2/3 gallons of lemonade. On Sunday she sold 3 and 1/3 gallons mor3 than she sold on Saturday. On Monday she sold 2 and 2/3 gallons less than she sold on Sunday. How many gallons of lemonade did jessie sell on Monday

Answers

can you please rewrite the question there are a few typos.

Jessie set up a lemonade stand for three days.

On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons

On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday

Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons

= 32/3 + 10/3 = 42/3 gallons = 14 gallons

On Monday she sold 2 and 2/3 gallons less than she sold on Sunday

Lemonade sold on Monday = 14 - 2 and 2/3 gallons

= 42/3 - 8/3 = 34/3 gallons

Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday

Your doctor told you to eat 25 grams of fiber each day.
You had 4 grams of fiber for breakfast.

What percent of the 25 grams of fiber have you eaten so far?

Answers

If you divide 4/25 it equals 16%. Or another way you can do it is you multiply 25 by 4 to get 100 then just multiply 4 by 4 also and it gets you 16/100 which equals 16%.

You have had 24% of fiber for the day.:) Hope this helped!

Anyone please help solving this maths problems not sure if I did it right. Thanks.

Answers

2/3 is equivalent to 4/6
1/2 is equivalent to 4/8
6/8 is equivalent to 3/4
1/4 is equivalent to 2/8
1/3 is equivalent to 2/6

Your first answer is wrong. 2/3 is not equivalent to 2/6, 2/3 is equivalent to 4/6 because if you multiply 2*2 and 3*2 you would get 4 and 6. so in order to get the equivalent fraction you must multiply or divide the top and the bottom of the fraction with the same number.

Which expression is equivalent to i^233

Answers

Recall that i²=-1, and i^4=1
divide 233 by 4 to find the remainer: 233÷4=58, remainder is 1
so the result is i
i^233=(i^4)^58×i=1^58×i=i

Answer: the answer is i

Step-by-step explanation:

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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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 value of x in this number sentence?

32 = 17 + x

Answers

32 = 17 + x
32 - 17 = x
15 = x

32 = 17 + x
To find our answer, the value of x, we only have to substract 17 from both sides. This gives us the following
15 = x
x = 15
So the value of x in this number sentence is 15

Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone

Answers

They were gone for a total of 107 minutes, or one hour and 47 minutes. Hope it helps! :) If you could vote my answer as the brainliest, that would be awesome! :)

1hr 47mins......................

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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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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Write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequality symbol to use?

Answers

15 is greater than or equal too m this is the symbol < and it has a line under it

To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compare.

Group A

Person 1: $500

Person 2: $600

Person 3: $900

Person 4: $450

The average amount spent by members of cycle group A was $

Group B

Person 1: $700

Person 2: $500

Person 3: $680

Person 4: $500

The average amount spent by members of cycle group B was $

Answers

the answers are 2,450 and 2,380

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]

Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?

Answers

the coefficient of n^2 is 3

hope it helps

Answer:

Coefficient of n² is 3.

Step-by-step explanation:

Given : 4n³ + 3n² + 2n + 1.

To find : What is the coefficient of n².

Solution : We have given 4n³ + 3n² + 2n + 1.

Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Example : 4 in 4x² .

In 4n³ + 3n² + 2n + 1.

Coefficient of n² is 3.

Therefore, Coefficient of n² is 3.

i don’t know how to do this. can someone please help me :)

Answers

The surface area of a cylinder is the sum of the area of the two ends and the lateral area.
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2

The 3rd selection is appropriate.

A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.

Enter the volume of the prism as a mixed number in simplest form in the box.

Answers

Answer:

[tex]Volume=24\frac{3}{4}m^3[/tex]

Step-by-step explanation:

The volume of a rectangular prism is calculated using the formula;

[tex]Volume=l \times w\times h[/tex]

where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.

We substitute all these values into the formula to obtain

[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]

Convert to improper fractions to get;

[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]

[tex]Volume=\frac{99}{4}[/tex]

[tex]Volume=24\frac{3}{4}m^3[/tex]

Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's

Answers

Were options given to you?

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.

how do you solve each absolute value by graphing

Answers

Your question answers itself. You solve by graphing.

I like to subtract one side of the equation from the other, so the solutions are where the graph crosses the x-axis (the resulting function value is zero).

It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.

A rectangle has a perimeter of 48 feet and a length of 14 ft which equation can you solve to find the width

Answers

I don't know what the list of equations are, but if you take 12x2 you get 28 and 48-28=20 and the 20 is divided by two sides, so the width is 10ft

Answer: 2n + 28 = 48

Step-by-step explanation: Got it right on TTM

what is the solution to this equation x-16=-8

Answers

X-16=-8
Add 16 on both sides
x=-8+16
And solve; your answer will be
x=8

The solution to the equation x - 16 = -8 is x = 8.

We have,

To solve the equation x - 16 = -8, we want to isolate the variable x on one side of the equation.

First, let's add 16 to both sides of the equation:

x - 16 + 16 = -8 + 16

This simplifies to:

x = 8

Therefore,

The solution to the equation x - 16 = -8 is x = 8.

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