The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?

Answers

Answer 1
The answer would be 108. 108:45 can be simplified to 12:5.
Answer 2

Answer:

The answer is 108.

Step-by-step explanation:

This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.


Related Questions

x f(x)
--------

-3 -18

-2 -4

-1 0

0 0

1 2

2 12

3 36


What is the degree of the polynomial represented in the table?



4


5


2


3

Answers

Answer:

I think that the answer is 4

This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.

Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?

A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points

Please explain your answer

Answers

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

What is the area of this triangle?

PLSSS I WILL GUVE YOU THE POINTS

Answers

Answer:

12

Step-by-step explanation:

12

Step-by-step-explanation

The diagram shows two sets of vectors that result in a single vector. What are the first two steps for finding the magnitude of the resultant vector?
A. Find the square of the first horizontal vector and the square root of the first vertical vector
B. Find the square root of the first horizontal vector and the square root of the second horizontal vector
C. Find the sum of the two horizontal vectors in the summer for two vertical vectors
D. Find the difference between the two horizontal vectors and the difference between the two vertical vectors

Answers

C. Find the sum of the two horizontal in the summer for two vertical vectors.

Answer:

Can confirm C is right i got 100 on the unit test

Step-by-step explanation:

Which of these numbers has the greatest absolute value-3 1 -9 5

Answers

I believe it is the 9, with absolute values the number will always be positive so the absolute value of -9 is 9, which is the greatest out of all the options

Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7

Answers

Answer:

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]

Required

Which of the above is a quadratic function

A quadratic function has the following form;

[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function

[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]

This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]

[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]

[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]

This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]

Unlike the quadratic function where [tex]a\neq 0[/tex]

So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition

Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.

Answers

Answer:

It is irrational because a rational number expressed as the quotient or fraction  of two integers

Step-by-step explanation:

pls help on this question
*image

Answers

Answer:

216 2/3

Step-by-step explanation:

yoys : frents

6   :   13

We have 100 yoys

100/6 =50/3

Multiply by 50/3

yoys      : frents

6 *50/3  :   13*50/3

100         : 650/3

As a mixed number

650/3 frents

216 2/3

please help me with this question (pic attached) explain if you can

Answers

Answer:

For x=1 substituting in f(x) the value of x

f(1)=-3(1)+1 = -2

For x=0 substituting in g(x) the value of x

g(0)=3^(0) =1

Finally, we have to find for what value of x the function f(x) gives -8

f(x) = -8

-8 = -3x+1

-3x=-9

x=3

Can you help me out on this question?

Answers

Answer:

4. x= 18

Step-by-step explanation:

We solve the problem like this:

Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.

3/9 = 6/x  

We then use cross-multiplication to solve for x.

Help with my math plesae 100 POINTS POINT STEALING = REPORT

Answers

Answer:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

Step-by-step explanation:

Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle

The converse is interchanging what is given and what is proven.

Answer:

side lengths;a2 + b2 = c2;triangle abc is a right angle

explanation=  when you  add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2

thats the answer mate hope it helps

Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2

Answers

Here A is the answer because it has more terms i guess

If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi

Answers

Answer:

V= 468 * 3.14 = 1.469.52

Step-by-step explanation:

Volume of a cylinder = π r^2 h

  V= 3.14  *6^2 * 13

   V= 1469.52 cubic unit                      

Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute​

Answers

Answer:

75

Step-by-step explanation:

Answer:

75wpm

Step-by-step explanation:

150 ÷ 2 = 75

75 wpm

Calcula la hipotenusa de un triángulo rectángulo, cuyos catetos miden 24 dm y 20 dm, respectivamente.

Answers

Answer:

31.2 dm

Step-by-step explanation:

Podemos calcular a hipotenusa do triángulo empregando a regra de Pitágoras:

[tex]h^2 = a^2 + b^2[/tex]

onde h = hipotenusa

a = unha perna do triángulo

b = outra perna do triángulo

Polo tanto:

[tex]h^2 = 20^2 + 24^2\\\\h^2 = 400 + 576\\\\h^2 = 976\\\\h = \sqrt{976}\\ \\h = 31.2 dm[/tex]

A hipotenusa é de 31,2 dm

what is 15 divided by 82?

Answers

82 ÷ 15 = 5.4

Mixed number form: 5 ⁷/₁₅

Answer:

the answer is 5.4

Step-by-step explanation:

please need help I will be MARKING as BRIANILIST. thank you so much ​

Answers

Answer:

Step-by-step explanation:

a, as the x axis increases, so does the y axis

b, temperature outside v ice cream sales

hours studied v grade on test

c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation

Which is greater 8/25 or 0.32

Answers

[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.

This means that these two are equal. hope this helps!

8/25 is equal to 0.32

let me know if u need explanation

Do masks increase or decrease the sales of breath mints?

Answers

increase, because people hate mask breath and having mints has helped them not having to smell horrible breath whilest wearing a mask
Increase because many people have bad breaths regardless. However with the masks you’re able to smell it more.


Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?

Answers

Answer:

1

Step-by-step explanation:

Answer:

2.

Step-by-step explanation:

Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)

A whole number is rational (2 for example can be written as 2/1).

It could have been 2 or 3 or 33.

Vlad tried to solve an equation step by step.
Find Vlad's Mistake.

Answers

Answer:

I think that it’s correct

Step-by-step explanation:

Answer:

Vlad did not make a mistake

Step-by-step explanation:

Khan academy 7th grade inequalities quiz 2 and unit test

Which statement is true about the right angles ABC and DEF

Answers

The answer is the first one

Please help, due tomorrow

Answers

Answer:

E. CI = 102.79

The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00

Answers

Answer:

Step-by-step explanation:

Hypotenuse^2=3^2+8^2

Hypotenuse^2=9+64=73

Hypotenuse =square root of 73

Hypptenuse =8.54

Answer:

8.54

Step-by-step explanation:

I took a test

Share £639 in the ratio 5:4

Answers

Answer:

The ratios are £355 and £284

Answer:

335: 284

Step-by-step explanation:

£639 in ratio 5:4

5+4 =9

639 / 9 = 71

71 × 5 = 355

71 ×285 =284

355:284

hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.

Answers

Answer:

#1

Step-by-step explanation:

#1)-3-1.5

you go 3 units left from zero to get to -3

then, you go 1.5 units to the left of -3,

thus getting to -4.5,

#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong

#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3

#4) like in # 3, you have to go from 0 to (-3)   3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all

#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all

Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.

a. What percentage of gold is 21 carat?

b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?

Answers

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

[tex]x + y = 90[/tex]

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]

We now have a system of equations which we can solve to find the necessary mass of each type.

[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]

[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

We now have a system of equations which we can solve to find the necessary mass of each type.

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Step-by-step explanation:

Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4

Answers

Answer:

h=14

Step-by-step explanation:

3/4*1/4=3/16

21/32/(3/16)=14

Answer:

h=25

Step-by-step explanation:

Find the values of a and b that make the second expression equivalent to the first expression. Assume that x > 0 and y ≥ 0. StartRoot StartFraction 126 x y Superscript 5 Baseline Over 32 x cubed EndFraction EndRoot = StartRoot StartFraction 63 y Superscript 5 Baseline Over a x Superscript b Baseline EndFraction EndRoot a = and b =

Answers

Answer:What was done from the first to the second equation was that the fraction was simplified. 126 and 32 have a common factors of 2. 

126/32=(63*2)/(16*2)

The 2s in the top and bottom can cancel out, leaving the fraction 63/16. 

In addition, since there are x terms on the top and bottom, they cancelled out as well. 

x/x^3=1/x^2

This leaves an x^2 term on the bottom. 

Thus, if a is 16, and b is 2, you will have an equivalent form of the fraction.

Step-by-step explanation:

Answer:

A=16 & B=2

Second part is B

Step-by-step explanation:

;)

Find the sum
[tex](4 {xy}^{2} - {3x}^{2}y - 5xy - 6 ) + ( - {5xy}^{2} - 2xy + 3)[/tex]

Answers

Answer:

[tex]-3x^2y-xy^2-7xy-3[/tex]

Step-by-step explanation:

[tex](4xy^2-3x^2y-5xy-6)+(-5xy^2-2xy+3)[/tex]

[tex]4xy^2-3x^2y-5xy-6-5xy^2-2xy+3[/tex]

[tex]-3x^2y-xy^2-7xy-3[/tex]

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