The ratio of adults to children is 16 to 10. If there are 40 adults, how many children are there? Complete the ratio table to find the number of children.

Adults 16 8 40
Children 10
25
30
20
15

Answers

Answer 1

Answer:

Answer:    25

Step-by-step explanation:

    Ratio: 16:10

    Number of adults=40

    So,

        16     =     40

        10            x

16(x) =    40(10)                 [ CROSS-MULTIPLICATION ]

16x    =      400                   [ TRANSPOSE 16 TO THE RIGHT }

 x     =      25

Step-by-step explanation:


Related Questions

need this answered quick, please provide explanation for answer thanks :p

Answers

about 45 weeks. subtract 20.2 from 121.5 and then divide by 2.25

(-10,7) and (4,6)
Find the midpoint of the segment with the given endpoints.

Answers

Answer:

(-3,6.5)

Step-by-step explanation:

What is 0.14x57.05 and what are the steps

Answers

Answer:

7.987

Step-by-step explanation:

  1 4

×     5 7 0 5

+         7 0

+ 0 0 0 0 0  

+     9 8    

+   7 0      

=  7 9 8 7 0

Rewrite the product with 4 total decimal places.

Answer = 7.9870

Therefore:

0.14 × 57.05 = 7.9870

A bee colony produced 5.9 pounds of honey, but bears ate 1.5 pounds of it. How much honey remains?

Answers

Answer:

4.4

Step-by-step explanation:

hope this helps

Answer:

5.9 - 1.5

3.5 pounds of honey

Alegebra. Identify the vertex and axis of symmetry of each. Please answer and e0lain how and why you got your answers.

Answers

There is no information displayed.

Here is how to do it.

How to calculate axis of symmetry:

Plug your numbers into the axis of symmetry formula. To calculate the axis of symmetry for a 2nd order polynomial in the form ax 2 + bx +c (a parabola), use the basic formula x = -b / 2a. In the example above, a = 2 b = 3, and c = -1. Insert these values into your formula, and you will get:

How to calculate vertex:

The vertex form of a quadratic is given by

y = a(x – h)2 + k, where (h, k) is the vertex.

The "a" in the vertex form is the same "a" as

in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down. Think of it this way: A positive "a" draws a smiley, and a negative "a" draws a frowny. (Yes, it's a silly picture to have in your head, but it makes is very easy to remember how the leading coefficient works.)

In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Suppose that "a" is positive, so a(x – h)2 is zero or positive and, whatever x-value you choose, you're always taking k and adding a(x – h)2 to it. That is, the smallest value y can be is just k; otherwise y will equal k plus something positive. When does y equal only k? When x – h, the squared part, is zero; in other words, when x = h. So the lowest value that y can have, y = k, will only happen if x = h. And the lowest point on a positive quadratic is of course the vertex.

If, on the other hand, you suppose that "a" is negative, the exact same reasoning holds, except that you're always taking k and subtracting the squared part from it, so the highest value y can achieve is y = k at x = h. And the highest point on a negative quadratic is of course the vertex.

What’s the perimeter of 4 1/2in and 8 1/2in

Answers

Answer:

26 in

Step-by-step explanation:

4.5 x 2 = 9

8.5 x 2 = 17

9 + 17 = 26

i need help plz if any one is willing to help me

Answers

The answer is y = 1/2x+4.

For this all you have to do is add the three on both sides to get it into the form that you are being asked.

Answer:

y=1/2x + 4?

Step-by-step explanation:

I am not really sure. Im sorry if im wrong:(

Find the value of x.

Answers

This is an answer of this question

Answer:

-5

Step-by-step explanation:

hope it works out for you

Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between the two brands shown. Explain how Jacob can determine which is the better value.

Answers

Answer:

Jacob could compare the unit rates of cost per ounce. The unit rate that is less per ounce is the better deal. Not He can look at the cost per ounces!

Step-by-step explanation:

Answer:

Compare the unit rates.

The unit rate shows the cost for each ounce.

The lesser unit rate costs less per ounce.

The brand with the lesser unit rate is the better value.

Step-by-step explanation:

( 8n - 3n^4 + 10n ^2 ) - ( 3n^2 + 11n ^4 - 7)

Answers

-14n⁴ + 7n² + 8n + 7

Step-by-step explanation:

(8n - 3n⁴ + 10n²) - (3n² + 11n⁴ - 7)

= 8n - 3n⁴ + 10n² - 3n² - 11n⁴ + 7

= -3n⁴ - 11n⁴ + 10n² - 3n² + 8n + 7

= -14n⁴ + 7n² + 8n + 7

3(-2x-4y)-4(6y-x)
simplify

Answers

Answer:

Simplify the expression.

12xy−72yexponent 2 -6x

Step-by-step explanation:

got it from mathaway

Step 1: distributive property
-6x-12y-24y+4x
Step 2: Combine like terms
-2x-36y

Answer: -2x-36y

1/2x-1/4y=10
1/8x-1/8y=19
which ordered pair (x,y) satisfies the system of equations above
a) (-122,264)
b) (64,88)
c) (232/3, 224/3)
d) (288,536)

Answers

Answer: (-112,-264)

Step-by-step explanation:

what integer represents sahan withdrawing $250?

Answers

Answer:

-250

Step-by-step explanation:

Use the graph of the quadratic function, g(x), to answer each question.
a. g(-1) =

b.g(-3) =

c. Find x when g(x) = 4.

X =

Answers

Given the graph of the function, where the vertex is the maximum point at (-5,4):

We can establish the quadratic function in vertex form:

g(x) = -(x + 5)^2 + 4

To find the value of g(-1):

Substitute -1 as the input of the function:

g(-1) = -(x + 5)^2 + 4

g(-1) = -(-1 + 5)^2 + 4

g(-1) = -(4)^2 + 4

g(-1) = -12



To find the value of g(-3):

Substitute -3 as the input of the function:

g(-3) = -(x + 5)^2 + 4

g(-3) = -(-3+ 5)^2 + 4

g(-3) = 0


To find the value of x when g(x) = 4:
Since your vertex is (-5, 4), in which the y-coordinate is 4, then its x-coordinate is -5.

Therefore, the value of x when g(x) = 4 is -5.

Please mark my answers as the Brainliest if you find my explanations helpful :)


A college college track coach compares the ratio of time it takes a runner to run
100 meters to 12 seconds. For a runner to be on the team, the ratio must be less
than or equal to 0.95. What is the slowest time 100 meters can be run to make
the team

Answers

11.4 seconds. 95 percent of 12 seconds (0.95 x 12) you get 11.4 seconds

7/8 ÷3/4


pls help me past my tst

Answers

Answer:

[tex]\cfrac{7}{6}[/tex]

Step-by-step explanation:

[tex]\cfrac{7}{8} \div \cfrac{3}{4}[/tex]

Divide 7/8 by 3/4 by multiplying 7/8 by the reciprocal of 3/4:

[tex]\cfrac{7}{8}\times[/tex] [tex]\dbinom{4}{3}[/tex]

Now, multiply 7/8 times 4/3 by multiplying numerator times numerator and denominator times denominator:

[tex]\cfrac{7\times 4}{8\times 3}[/tex]

Do multiplication in fraction: [tex]\cfrac{7\times 4}{8\times 3}[/tex]

[tex]\cfrac{28}{24}[/tex]

Reduce fraction [tex]\frac{28}{24}[/tex] to lowest terms by extracting and canceling 4 out:

[tex]\cfrac{7}{6}[/tex]  [tex]\checkmark[/tex]

___________________________

solve the pattern:
15, 17, 32, 49, 81 __ __ ← those are the blank spaces.

Answers

Answer:

130 and 211

Step-by-step explanation:

15+17= 32

17+32=49

32+49=81

49+81=130

81+130=211

Answer:

130 and 211

Step-by-step explanation:

15,17,32,49,81 _ _

15+2=17+15=32+17=49+32=81

that mean 81+ 49=130

and 81+130= 211

Hence, the answer is 130 and 211.

I'm stuck in math class and I have no clue how to do it- lol :')

Answers

Answer:

c = 9

Step-by-step explanation:

first, simplify 30/2c. which is 15/2c. then cross multiply. 15 x 12 = c x 20.

you get 180 = c x 20. swap sides, c x 20 = 180. divide both sides by 20, then simplify to get 9.

hope this helps.

Line f passes through points (8, 7) and (3, 10). Line g passes through points (5, 7) and (10, 4). Are line f and line g parallel or perpendicular?

Answers

Answer: Parallel

Step-by-step explanation:

First find slope.

Line f: [tex]\frac{10-7}{3-8} =-3/5[/tex]

Line g: [tex]\frac{4-7}{10-5}=-3/5[/tex]

Since the slopes are the same, the lines are parallel.

First we need to find the slope of each line

Slope of line f

(8 , 7)  (3 , 10)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{10-7}{3-8}[/tex]

[tex]slope = \frac{3}{-5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

Slope of line g

(5 , 7)  (10 , 4)

[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

[tex]slope = \frac{4-7}{10-5}[/tex]

[tex]slope = \frac{-3}{5}[/tex]

[tex]slope=-\frac{3}{5}[/tex]

The two lines have the same slope therefore they are not perpendicular but instead parallel to each other.

Mr. Flores opened an account with a deposit of $5,000.


• The account earned annual simple interest.

• He did not make any additional deposits or withdrawals.

• At the end of 4 years, the balance of the account was $6,500.


What is the annual interest rate on this account?

A. 5.8%

B. 7.5%

C. 3.3%

D. 1.9%

Answers

Answer:

B. 7.5%

Step-by-step explanation:

First, we need the Simple Interest (S.I)

Total = Principal + Simple Interest

T = P + S.I

6500 = 5000 + S.I

[make S.I the subject of the formula]

S.I = 6500 - 5000

S.I = 1500

Simple Interest = (Principal × Rate × Time) / 100

S.I = (P × R × T) / 100

1500 = (5000 × R × 4) / 100

1500 = 20000R / 100

1500 = 200R

[divide both sides of the equation by 200]

1500 / 200 = 200R / 200

R = 1500 / 200

R = 7.5

The annual interest rate is 7.5%

12 divided by 4/3 =

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Hope this helps!

I NEED HELP IM STUCK ITS CONFUSING,
A board is 88cm in length and must be cut so that one piece is 24cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary

Answers

Answer:

64

Step-by-step explanation:

88-24=64 which is the right answer

-14=-20y-7x
10y+4=2x

Solve by Elimination please!

Answers

Answer:

x = 2    y = 0

Step-by-step explanation:

Evaluate the function

Answers

(3*2)^2-(2*2)+5
36-4+5
=37

A shape is shown on the graph: A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, negative 2 and 4, negative 2 and 2, negative 6. Which of the following is a reflection of the shape? (5 points) Group of answer choices A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 2 and negative 4, negative 2 and negative 4, negative 6. A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair negative 2, negative 4 and negative 6, negative 4 and negative 6, negative 2. A coordinate grid is shown from positive 8 to negative 8 on the axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 2, 4 and 6, 2.

Answers

Answer:

Step-by-step explanation:

the answers the second one.

Answer:

D

Step-by-step explanation:

the answer is d

Write the decimal in expanded form using fractions

0.801 = ???

Answers

Answer: 8/10 + 1/1000

Step-by-step explanation: in decimal form we have 0.800 + 0.001

to convert this into a fraction you'd do 8/10 + 1/1000

(8 is in the tenths place therefore 8/10 and 1 is in the thousandths place therefore 1/1000)

PLEASE SOMEONE WHO IS SMART ANSWER THIS QUESTION

Answers

Answer:

36/32 or 1 1/8 (same thing)

Step-by-step explanation:

9 gallon / 32 quarts

First, you have to convert 9 gallon to quarts to match the denominator. In the table, it says that 1 gallon = 4 quarts, so you have to do, 9 x 4 which gives you 36. Now that the fraction is in the same form of units, 36 quarts / 32 quarts, you will have to write it as a mix fraction or you can just leave it as 36 quarts / 32 quarts. If you want it in mix fraction, it is 1 1/8.

Answer:

36

Step-by-step explanation:

1 gallon is 4 quart then the question is 1 to 9 quart then is 4 * 9 is 36

2(h+3.5)=-11. What is the value of h

Answers

Answer:

The value of h would be nine

it has no picture just these

Answers

Answer:

angle OPN, angle PON, angle NOP, angle PNO

Step-by-step explanation:

Essentially, this simply asks what angles contain the line OP. If we draw the triagnle NOP (in that order starting at the top), we can see that all these angles include the line OP within their angles.

(note: Im not sure if it is asking for the line OP in that order. If so, it would only be angles 1 and 3, as those have OP in that order)

Graph the equation.
y = |x – 11 – 2

Answers

Answer:Correct option is

A

10

Given y=(x−11)  

2

 

⇒y=x  

2

−22x+121

After substitute y=25. we get,

x  

2

−22x+121−25=0

⇒x  

2

−22x+96=0

⇒(x−16)(x−6)=0

⇒x=16,x=6

∴ two points are  A,B are (16,25),(6,25).

Distance between A and B is  

(16−6)  

2

−(25−25)  

2

 

=10

Hence, option A is correct.

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