Problem Set:

At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.

a. Write the ratio of the number of boys to the number of girls.

b. Write the same ratio using another form (A: B vs. A to B).

c. Write the ratio of the number of boys to the number of adults.

d. Write the same ratio using another form.

*Answer A-D

Answer:

[tex] \dfrac{y}{2} [/tex]

Step-by-step explanation:

The LCD of 13 and 26 is 26.

[tex] \dfrac{3y}{13} + \dfrac{7y}{26} = [/tex]

[tex] = \dfrac{2 \times 3y}{2 \times 13} + \dfrac{7y}{26} [/tex]

[tex] = \dfrac{6y}{26} + \dfrac{7y}{26} [/tex]

[tex] = \dfrac{13y}{26} [/tex]

[tex] = \dfrac{y}{2} [/tex]

Answer:

100 i think im not sure but i think its 100

Step-by-step explanation:

im not  dat good at math either

Answer:

5b-5

Step-by-step explanation:

When doing these kinds of problems you want to do dributive property which means you multiply whatever number is outside of the (), which is 5, and multiply that by b and 1.

when numbers are outside the () and right next to them without anything like +,-, or a division sign, it means to multiply.

In order to find the answer to this question you will have to simplify using the distributive property.

[tex]5(b-1)[/tex]

Applying the distributive property:

[tex]5b+5\times-1[/tex]

[tex]5\times-1=-5[/tex]

[tex]5b-5[/tex]

Therefore the answer is "5b-5."

Hope this helps.

Answer:

D

Step-by-step explanation:

4/6 reduced is d

5-2x2=-15

Two solutions were found :

                  x = ± √10 = ± 3.1623

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5-2*x^2-(-15)=0

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (5 -  2x2) -  -15  = 0

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20 - 2x2  =   -2 • (x2 - 10)

Trying to factor as a Difference of Squares :

3.2      Factoring:  x2 - 10

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 10 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step  3  :

 -2 • (x2 - 10)  = 0

Step  4  :

Equations which are never true :

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

4.2      Solve  :    x2-10 = 0

Add  10  to both sides of the equation :

                     x2 = 10

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:  

                     x  =  ± √ 10  

The equation has two real solutions  

These solutions are  x = ± √10 = ± 3.1623  

Two solutions were found :

                  x = ± √10 = ± 3.1623

To solve the equation 5 - 2x^2 = -15 using inverse operations, we need to isolate the variable x on one side of the equation.

1. Start by adding 15 to both sides of the equation to eliminate the constant term on the right side:

5 - 2x^2 + 15 = -15 + 15

20 - 2x^2 = 0

2. Next, divide both sides of the equation by -2 to isolate the x^2 term:

(20 - 2x^2) / -2 = 0 / -2

-10 + x^2 = 0

3. Now, move the constant term to the other side by adding 10 to both sides:

-10 + x^2 + 10 = 0 + 10

x^2 = 10

4. To solve for x, we need to take the square root of both sides of the equation:

√(x^2) = √(10)

x = ±√(10)

To check the solutions, substitute them back into the original equation and see if they make it true:

For x = √(10):

5 - 2(√(10))^2 = -15

5 - 2(10) = -15

5 - 20 = -15

-15 = -15 (True)

For x = -√(10):

5 - 2(-√(10))^2 = -15

5 - 2(10) = -15

5 - 20 = -15

-15 = -15 (True)

So, the solutions to the equation 5 - 2x^2 = -15 are x = √(10) and x = -√(10).

Answer:

5.5! Now, you need to know why. The total cost was $490, there is a fee of $50, so subtract the fee from the total cost and you should  then divide that by $80 because thats how much it is an hour.

The actual equation should be 80x + 50 = 490, not 80x - 50 = 490. By solving it, we find out that the job took 5.5 hours to complete.

The given equation in the problem is incorrect. It should be 80x + 50 = 490, where x represents the number of hours the plumber worked. This equation accounts for the hourly charge (80x) and the upfront flat fee ($50). To solve for x, we begin by isolating it on one side of the equation. We subtract 50 from both sides to get 80x = 440. Then we divide both sides by 80, resulting in x = 5.5. Therefore, the plumber worked for 5.5 hours on this particular job.

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Step-by-step explanation:

heptagon = 7 sides

dodecagon = 12 sides

heptadecagon = 17 sides

Answer:No

Step-by-step explanation: Integers are whole numbers that can be positive or negatives no decimals or fractions.

Answer:

m∠2

m∠3

m∠4

Step-by-step explanation:

we know that

m∠2=m∠1 ----> by vertical angles

m∠3=m∠1 ---- by corresponding angles

m∠4=m∠1 ----> by alternate exterior angles

Answer:

m<3

m<2

m<4

Step-by-step explanation:

Answer:

the answer is 0

Step-by-step explanation:

i only have the answer

-32v I did the expression and I got -32v. This is a better answer than the other guy.

Divide 1 by 8 which is 0.125, for a decimal. Then to turn it into a percent move the decimal 2 places to the right, then add the percent to the end; 12.5%

The fraction 1/8 can be converted into a decimal by dividing the numerator by the denominator, yielding 0.125. This decimal can then be converted into a percent by multiplying by 100, yielding 12.5%.

To convert the fraction 1/8 into a decimal and a percent, we need to perform two types of conversions: a fraction-to-decimal conversion and a decimal-to-percent conversion.

First, converting the fraction to a decimal. To convert a fraction to a decimal, divide the numerator (top number) by the denominator (bottom number). In this case, that gives us 1 ÷ 8 = 0.125.

Then, converting the decimal to a percent. A decimal can be converted to a percent by multiplying it by 100. So 0.125 * 100 = 12.5%. Therefore, the fraction 1/8 is equal to 0.125 as a decimal and 12.5% as a percentage.

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Answer:

They spend $33.

Step-by-step explanation:

multiply 7.50x2=15   and multiply 9.00x2=18. Then add 15+18=33.

The surface would be 0.

First it dives 462:

0 - 462 = -462 feet,

It then climbs 250:

-462 + 250 = -212

The submarine is at -212 feet. ( 212 feet below the surface.)

Answer:

16

Step-by-step explanation:

Follow the correct order of operations.

4 * 3 - (24 divided 6) + 8 =

Parentheses first.

= 4 * 3 - 4 + 8

Now, the multiplication.

= 12 - 4 + 8

Now additions and subtractions in the order they appear from left to right.

= 8 + 8

= 16

Answer:

4.59

Explanation:

1.38 + 2.01 = 3.39

1.2 = 1.20

3.39 + 1.20 = 4.59

Answer:

Difference between high and low temperatures: 12°F

Average change in temperature per hour: 2°F

Step-by-step explanation:

The difference between high and low temperatures was: 7 - (-5) = 12 (°F)

Midnight is 12am, so 6pm to midnight is 6 hours.

The average change in temperature per hour is: 12 / 6 = 2 (°F)

Answer:3^3 (3 to the 3rd power) which is equal to 27 cubic ft.

Step-by-step explanation:

3x3x3=3^3

3^3=27

Answer: The 3 in 17,235 is in the tens digit and the 3 in 17,352 is in the hundreds digit

Answer:

its the first one

Step-by-step explanation:

Good evening ,

_______

Answer:

perimeter = 22/3 cm

____________________

Step-by-step explanation:

Look at the photo below for the details.

:)

The number "4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones" written in standard form is 41,984.

To write the number 4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones in standard form, we can add up the value of each place:

4 ten thousands = 4 × 10,000 = 40,000

1 thousand = 1 × 1,000 = 1,000

9 hundreds = 9 × 100 = 900

8 tens = 8 × 10 = 80

4 ones = 4

Now, add up these values:

40,000 + 1,000 + 900 + 80 + 4

= 41,984

Therefore, the number "4 ten thousands, 1 thousand, 9 hundreds, 8 tens, and 4 ones" written in standard form is 41,984.

To learn more on Number system click:

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Answer:

1268

Step-by-step explanation:

4226-2958=1268 mark the brainliest

The difference between 4,226 and 2,958 is 1,268.

The question is asking for the difference between 4,226 and 2,958. To solve this, we subtract 2,958 from 4,226. Starting from the rightmost digit, subtract 8 from 6 which gives us 2. Then subtract 5 from 2 and you get a negative number so we need to borrow from the next digit. Borrow 1 from the leftmost digit, which makes it 3, then subtract 5 from 13 and you get 8. Finally, subtract 2 from 3, giving us 1. The answer is 1,268.

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Answer:

5

Step-by-step explanation:

do reverse calculations

we know that we ended with 6

since 2 jumped out we add them back in

6+2 = 8

we remove the toads that jumped in because they are not part of the original group

8-3 = 5

there were 5 toads in the beginning

There were originally 5 toads in the pond. This is determined by reverse calculation of the toads jumping in and out.

To solve this math problem you can use a process of reverse calculation. At the end of the toad jumping in and out, there were 6 toads in the pond.

If we take into account the events that happened before we have that 2 toads jumped out so there must have been 8 toads before that(6 + 2).

Further back, 3 toads jumped in which means there must have been 8 - 3 = 5 toads in the pond to begin with.

So, initially, before any of the jumping happened, there were 5 toads in the pond.

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Answer:

A: -7 and 3

B: 1 and 9

C: -8 and 6

D: 4 and 10

Step-by-step explanation:

you just count the distance as your going:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6

......^.........................................^

-7 and 3 are both 5 away from -2

Answer:

d

Step-by-step explanation:

Answer:

22 cups

Step-by-step explanation:

Answer:

22 Cups of soup Left

Step-by-step explanation:

Given: 2 gallons of soup and 10 cups of soup served to guest.

To find: No. of cups of soup left.

We know that , 1 US Gallon = 16 US cups

⇒ 2 gallon of soup = 2 × 16 = 32 cups of soup

So, Remaining No. of Cups of soup = 32 - 10

                                                          = 22

Therefore, 22 Cups of soup Left

Answer: A,B,E

Step-by-step explanation:

Answer:

Option 1,2 and 5 represent a perfect square monomial and its square root.

Step-by-step explanation:

To find : Which expressions represent a perfect square monomial and its square root? Check all that apply.

Solution :

1) 121, 11

As [tex](11)^2=121[/tex]

This expression represents a perfect square monomial and it’s square root.

2) [tex]4x^2,2x[/tex]

As [tex](2x)^2=4x^2[/tex]

This expression represents a perfect square monomial and it’s square root.

3) [tex]9x^2-1,3x-1[/tex]

As [tex](3x-1)^2=9x^2+1-6x[/tex]

This expression does not represents a perfect square monomial and it’s square root.

4) [tex]25x,5x[/tex]

As [tex](5x)^2=25x^2[/tex]

This expression does not represents a perfect square monomial and it’s square root.

5) [tex]49x^4,7x^2[/tex]

As [tex](7x^2)^2=49x^4[/tex]

This expression represents a perfect square monomial and it’s square root.

Therefore, Option 1,2 and 5 represent a perfect square monomial and its square root.

Answer:

Paul grew 6 inches in 2 years

Step-by-step explanation: he was 42 inches before now he is 48 inches

Answer:

3b + 3 = 4b - 1

3= b - 1

b= 4 is the solution