The local library has a children’s section with picture books and chapter books. The ratio is 2:3. If there are a total of 500 books in the children’s section, then how many chapter books are in the section?

Answer:

Yes.

Step-by-step explanation:

This is because on a protractor a 180 degree angle is just a line.

Answer: 8 chess matches and 11 cribbage matches.

Step-by-step explanation:

60 people, 4 people play a match of cribbage, so if theres 3 more  matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.

8 chess games are being played while 11 cribbage games are being played.

Let x represent the number of chess games and y represent the number of cribbage games.

Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:

2x + 4y = 60  (1)

There are 3 more games of cribbage than games of chess, hence:

y = x + 3

-x + y = 3    (2)

Solving equations 1 and 2 simultaneously gives:

x = 8, y = 11

Therefore 8 chess games are being played while 11 cribbage games are being played.

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3a^4b^3

This is the answer

Answer:

536.55x

Step-by-step explanation:

I hope this helps :)

Answer:

x = 9

Step-by-step explanation:

Step 1: Write equation

6(5 - 2x) + 12 = -66

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

6(5 - 2(9)) + 12 = -66

6(5 - 18) + 12 = -66

6(-13) + 12 = -66

-78 + 12 = -66

-66 = -66

Answer:x = 9/12

Step-by-step explanation:

Answer/Step-by-step explanation:

1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft

Thus:

4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718

Open the Parentheses

4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718

Combine like terms

42x - 2 = 1,718

42x = 1,718 + 2

42x = 1,720

x ≈ 41

2. Missing perimeter of Building = 2x + 2x + 4x - 6

Simplify

= 8x - 6

Plug in the value of x

= 8(41) - 6

= 322 ft

3. Area of English Building = length * width

= (4x - 6 + 2x)(3x)

Simplify

= (6x - 6)(3x)

Plug in the value of x

= (6(41) - 6)(3(41))

= (246 - 6)(123)

= (240)(123)

= 29,520 ft²

Given :

Zach wants to make a profit of more than 300 for painting 4 identical too rooms.

The cost of supplies is 32.50 for each room.

To Find :

Which inequality and solution represent the dollar amount n, that zack must be paid for each room, if he is to make a profit more than $300.

Solution :

Profit is given by :

Profit = S.P - C.P

Now, it is given that profit > 300 .

Profit = S.P - C.P > 300

[tex]4n - 4\times 32.5 > 300\\\\n - 32.5 > 75\\\\n > \$107.5[/tex]

Hence, this is the required solution.

Hi!

Your answer would be: $159.03.

Reason Being: $1.35 times 118 equals $159.03.

Hope this helps!

Answer:

1. 37590000x0.986=37034160

2. 0.5x3.36=1.68

3. 500x0.64=320

Answer:

h=A/b

Step-by-step explanation:

Think of putting number in the place of the letter, for example

A is 4

b is 2

h is 2

4=2 x 2        then plug the numbers in the right spot

2=4/2           then see what can be rearranged or what is left to make the              

                     equation true

Answer:

The probability is  [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Step-by-step explanation:

From the question we are told that

   The  population proportion is  p =  0.40

    The sample size is  n  =  50  

 Generally the standard error is mathematically represented as

       [tex]\sigma_{\= p} =  \sqrt{\frac{p *  (1- p)}{n} }[/tex]

=>     [tex]\sigma_{\= p} =  \sqrt{\frac{0.40 *  (1- 0.40)}{50} }[/tex]

=>     [tex]\sigma_{\= p} = 0.07[/tex]

Generally the probability that a random sample of 50 U.S. Adults has less than 35% with this opinion is mathematically represented as

      [tex]P( \^ p  <  0.35) =  P(\frac{\^ p  -  p}{\sigma_{\= p}} <  \frac{0.35 - 0.40}{0.07}  )[/tex]

Generally  [tex]\frac{\^ p  -  p}{\sigma_{\= p}} =  Z (The \  standardized \ value\ of \  \^ p )[/tex]

=>   [tex]P( \^ p  <  0.35)=P(Z  <  -0.71)[/tex]

From the z table  

    [tex]P(Z  <  -0.71) =  0.2388[/tex]

So

     [tex]P( \^ p  <  0.35)=    0.2388 [/tex]

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped

Answer:

There would be 32 cookies left but I can't see the plates so I guess just count the cookies and choose whichever picture has 32 cookies in it. Hope this helped.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The account balance after transactions will be $90.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The account started with a balance of $125 and

deposit $50,

deposit $35

withdrawal -$70

withdrawal -$50

Now,

Deposit in account means to add the amount and withdrawal means to remove money from account.

Since, The account started with a balance of $125.

After deposit $50,

The account balance = $125 + $50 = $175

Again after deposit $35;

The account balance = $175 + $35 = $210

After withdrawal -$70;

The account balance = $210 - $70 = $140

Again after withdrawal -$50;

The account balance = $140 - $50 = $90

Thus, The account balance after transactions will be $90.

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Answer:

he sum of a number and 16 is equal to 45. 2. The product of 6 and m is 216. 3. The difference of 100 and x is 57. 4. The quotient of z and 10 is 32. X+16= 45.

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

45 divided by 3 is 15 and if you multiply that by 2 you get 30. 32 - 2 is 30

Answer:

76

Step-by-step explanation:

you need to find the smallest number you can divide by 8,9,12 (72) + 4

72 + 4 = 76

Step-by-step explanation:

90×3×-5×-2/3×-5

2700/-15

-180

Answer:

The company’s profit will be exactly $0 if it makes and sells

20 or 70

jackets. The company will make a profit if it makes and sells

between 20 and 70

jackets, but will not make a profit if it makes and sells

more than 70

jackets.

Step-by-step explanation:

Plato

Answer:

A

Step-by-step explanation:

I just answered the same exact question but here’s the explanation again.

12,564 total a year

and 12 months in a year.

we’re trying to find monthly

so 12,564/12=1047

1047 per month and month is m

1047m

c is total

Equation is 1047m=c

Answer:

a

Step-by-step explanation:

1047 x m = c

1047(12 months) = total cost 12,564

Answer:nbdbndndndnd

Bsbsnsndndnsh

Step-by-step explanation:

Dnndbdndnndndndnnd

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

Step-by-step explanation:

[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]

Answer:

no

Step-by-step explanation:

unless it has a - in front of it no

Answer:

no

Step-by-step explanation:

Answer

4 is the answer

Step-by-step explanation:

The HCF of 4,8,20 is 4

Answer:

a. Plan B; $4

b. 160 mins; Plan B

Step-by-step explanation:

a. Cost of Plan A for 80 minutes:

Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:

f(80) = 8

This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.

Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.

Plan B will cost $12.

Therefore, Plan B cost more.

Plan B cost $4 more than Plan A ($12 - $8 = $4)

b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.

At 160 minutes, they both cost $16

The plan that will cost less if the time spent exceeds 160 minutes is Plan B.

Answer:

$10

Step-by-step explanation:

To calculate markup, you take you cost and then multiply it by the markup percentage (in decimal form), then add that number to the original cost.  So the formula will look like this.

Selling Price = Cost + (Cost X Markup Percentage)

Let's use X to be the selling price you are looking for.

X = $7 + ( $7 x 0.43)   0.43 is the decimal value of 43 percent

Work on the numbers in parentheses first:

$7 x 0.43 = $ 3.01

now add that to the original cost:

$7 + $ 3.01 = $ 10.01

Round to the nearest dollar and you have $10.

The manager made the mistake of multiplying the markup percentage and the original cost.

$7 x 0.43 = $ 3.01

He subtracted the markup instead of adding it to the original cost.

subtract 4

and

divide by -6

Hope it helps

Answer:

- 44 feets

Step-by-step explanation:

Given the model:

h(t) = -15t2 + 25t + 6

Average height of object from 1 - 4 seconds

At :

t = 1

h(1) = -15(1)^2 + 25(1) + 6 = 16 feets

t = 2

h(2) = -15(2)^2 + 25(2) + 6 = - 4 feets

t = 3

h(3) = -15(3)^2 + 25(3) + 6 = - 54 feets

t = 4

h(4) = -15(4)^2 + 25(4) + 6 = -134 feets

Average height:

(16 + (-4) + (-54) + (-134)) / 4 feets = (- 176 / 4) feets

= - 44 feets

Answer:

X=-4

Step-by-step explanation: