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

Solve the following system of equations graphically.
x + y - 4 = 0
x - y = 0
The solution lies in quadrant _____.

I

II

III

IV

Answers

Step-by-step explanation:

work is shown and pictured

What is f(0)?
4
5
6
7

Answers

Answer with a Step-by-step explanation: We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Answer:

C.

Step-by-step explanation:

6

someone please help me !!

Answers

Answer:

3<x<52

Step-by-step explanation:

0<2x-6<52

6<2x<52

3<x<52

Answer:

3 x 9

Step-by-step explanation:

3<x<9 . Just did this. Acellus is lame but better than normal school. Good luck with the rest im only on lesson 84

Which of the following represents 45 = 5 × 9?
A.
45 is 3 times as many as 15
B.
9 is 5 times as many as 45
C.
5 is 9 times as many as 45
D.
45 is 9 times as many as 5

Answers

Answer:

D 45 is 9 times as many as 5

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

45 is 9 times as many as 5 is the answer because when you turn the equation 45=5*9 into words, it has three numbers 9, 5 and 45. 45 is the product of 9 and 5 and 9 and 5 are the numbers that must be multiplied to give the product 45.

Answer the question below

Answers

Answer:

a) The modal average is 3 bedrooms

b) The mean number of bedrooms is 2.825, or 3 rounded.

Step-by-step explanation:

If you lay out all the numbers from lowest to highest, and find the one in the middle, it is 3 bedrooms.

For the mean, if you add up all the number of bedrooms then divide by the total frequency, you get 2.825. This would be 113 ÷ 40.

Which of these shapes have rectangular cross sections when they are cut perpendicular to the base? Select three options
rectangular prism
triangular prism
cylinder
cone
square pyramid
triangular pyramid
Mark this and return
Save and Exit
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Submit

Answers

Answer:

I think it might be A, B, and E but I am not 100% sure.

Step-by-step explanation:

The figures are rectangular prism, cylinder, and square pyramid.

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.

A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.

A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.

A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.

A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.

A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.

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Find measure of angle PRS pleaseee urgent!!

Answers

Answer:

142 degrees

Explanation:

First, you are going to estimate. You can quickly see that the angle is more than 90 degrees. The only option more than 90 degrees os 142 degrees.

Answer:

142

Step-by-step explanation:

Then plug it in

What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)

Answers

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

pls help thus is due tmr pls help.​

Answers

Answer:

4. 30m; the coefficient is 30.

Step-by-step explanation:

According to wiki, a coefficient is a multiplicative factor in some term of a polynomial, a series, or any expression; it is usually a number. For example, 4x +7 has a coefficient of 4 and a variable of 'x'. The product of 6 and 5 is thirty and the product of 30 and 'm' is 30m.

You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),
(-2,4), (5,4) and (5,-3). Find the perimeter in yards and the area in square yards of the floor.

Answers

Answer:

Perimeter = 28 yards

Area = 49 square yards.

Step-by-step explanation:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let as consider the vertices of the floor are A(-2,-3), B(-2,4), C(5,4) and D(5,-3).

Using distance formula, we get

[tex]AB=\sqrt{(-2-(-2))^2+(4-(-3))^2}=\sqrt{(-2+2)^2+(4+3)^2}=\sqrt{0+7}^2=7[/tex]

Similarly,

[tex]BC=\sqrt{(5-(-2))^2+(4-4)^2}=7[/tex]

[tex]CD=\sqrt{(5-5)^2+(4-(-3))^2}=7[/tex]

[tex]AD=\sqrt{(5-(-2))^2+(-3-(-3))^2}=7[/tex]

It is conclude that, [tex]AB=BC=CD=AD[/tex].

From the given points it is clear that all sides lie on either vertical or horizontal lines.

Since all sides are equal, and adjacent sides are perpendicular, therefore, the base is a square with edge 7 yards.

Perimeter of square floor is

[tex]P=4a=4(7)=28\text{ yards}[/tex]

Area of square floor is

[tex]A=a^2=7^2=49\text{ sq. yards}[/tex]

Therefore, the perimeter is 28 yards and the area is 49 square yards.

What is the measure of ZY, in degrees?

Answers

there is no picture/reference to go off of

The equation d = 3sin (16t) measures the displacement of a swinging object in simple harmonic motion.
t is measured in
seconds and d is measured in inches.
What is the displacement to the nearest inch, when t = 10? NOTE: The angle is in
radians.
Provide your answer:
d=
inches​

Answers

Answer:thats hard

Step-by-step explanation:

At 7pm, the temperature outside was -5 degree celsius. What does |-5| represent in this situation?

Answers

The number of degrees between 0 and -5 C

Step-by-step explanation:

Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.

Step-by-step explanation:

|-5| who’s absolute value is 5 is representing temp form 0 to -5

What is Temperature ?

Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius

What is modulus?

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.

According to question

At 7pm, the temperature outside was -5

And |-5| = 5 (which is absolute value)

And represent count of temp from 0 to -5 .

Hence, |-5| who’s absolute value is 5 is representing temp form 0 to -5

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Can someone help me on these two questions?

Answers

Answer:

first is square and second in not rectangle I think it is trapezium

Which set of numbers could be the length of the sides of a right triangle?
A) {10,24,26}
B) {12,16,30}
C) {3,4,6}
D) {4,7,8}
***YOU DON'T HAVE TO SHOW WORK***

Answers

(A) is the only one that would work

10^2 + 24^2 = 26^2
This is known as Pythagorean theorem

8(y^0) + (-7)(y^0)=________

Answers

Since anything to the power of 0 is 1.

You get

8(1)+(-7)(1)
8-7
1

Answer:

1

Step-by-step explanation:

8(y^0) + (-7)(y^0)

Remove parentheses: (a)=a

= 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]

Add similar elements: 8[tex]y^{0}[/tex]-7[tex]y^{0}[/tex]= [tex]y^{0}[/tex]

= [tex]y^{0}[/tex]

Apply rule [tex]a^{0}[/tex] = 1, [tex]\alpha \neq 0[/tex]

= 1

Carbon-141414 is an element which loses exactly half of its mass every 573057305730 years. The mass of a sample of carbon-141414 can be modeled by a function, MMM, which depends on its age, ttt (in years). We measure that the initial mass of a sample of carbon-141414 is 741741741 grams. Write a function that models the mass of the carbon-141414 sample remaining ttt years since the initial measurement.

Answers

Answer:

The function that models the mass of the carbon-14 sample remaining t years since the initial measurement is

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Step-by-step explanation:

Radioactive reactions always follow a first order reaction dynamic

Let the initial concentration of Carbon-14 be M₀ and the concentration at any time be M

(dM/dt) = -kM (Minus sign because it's a rate of reduction)

(dM/dt) = -kM

(dM/M) = -kdt

 ∫ (dM/M) = -k ∫ dt 

Solving the two sides as definite integrals by integrating the left hand side from M₀ to M and the Right hand side from 0 to t.

We obtain

In (M/M₀) = -kt

(M/M₀) = e⁻ᵏᵗ

M(t) = M₀ e⁻ᵏᵗ

Although, we can obtain k from the information on half life.

For a first order reaction, the rate constant (k) and the half life (T) are related thus

T = (In2)/k

The half life is the time taken for the radioactive substance to decay to hAlf of its original amount, and according to the question, T = 5730 years

k = (In 2)/5730 = 0.000120968 /year. = 0.000121 /year

M(t) = M₀ e⁻ᵏᵗ

k = 0.000121 /year, M₀ = 741 grams

The equation then becomes

M(t) = 741 e⁻⁰•⁰⁰⁰¹²¹ᵗ

with M(t) in grams and t in years.

Hope this Helps!!!

Answer:

M(t)=741*(1/2)^t/5730

A line goes through points (-2, 18) and (4, 3). What is the slope of the line?

A. 12

B. -1.25

C. -2.5

D. -5

Answers

Answer:

-2.5

Step-by-step explanation:

The slope can be found by

m = (y2-y1)/(x2-x1)

   = (3-18)/(4- -2)

   = -15/(4+2)

    =-15/6

    = -5/2

     -2.5

Answer:

C. -2.5

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-2,18) and (4,3).

[tex]m=\frac{3-18}{4-(-2)}= \frac{-15}{6} =-\frac{15}{6}= -\frac{5}{2}[/tex]

The options are given in decimals.

[tex]-5/2=-2.5[/tex]

Option C is the correct answer.

Please answer need help

Answers

Answer:

B 2/ 1/2

Step-by-step explanation:

becuase it points into the middle of 2 and 3

and thats how got B

hope this helps

Given a = 4, b= -2 and c= 8, evaluate a - b - C.
-14
-6
0-2

Answers

Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

Given that

[tex]a = 4 \\ b = - 2 \\ c = 8[/tex]

Let's solve now

[tex]a - b - c[/tex]

[tex]4 - ( - 2) - 8 \\ 4 + 2 - 8 \\ 6 - 8 \\ - 2[/tex]

Given

a = 4

b= -2

c= 8

To find out:

Find the value of a - b - c ?

Solution:

a - b - c

Putting the value in the above

4 - ( - 2 ) - 8

4 + 2 - 8 [ - - = + ]

6 - 8

-2

What is the best estimate of 11% of 448?

Answers

Answer:

49.28.

Step-by-step explanation:

11% = 10% + 1%

So 11% of 448 = 44.8 + 4.48

= 49.28.

The best estimate of 11% of 448 is 49.28.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

11% of 448 = 11 / 100 × 448 = 0.11 × 448

= 49.28

Hence, the best estimate of 11% of 448 is 49.28.

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An electrician charges $15 per hour and spends $30 a day on gasoline. At the
end of the day, he is left with $105. Represent his earnings for one day using
a mathematical statement if he works for "x" hours in a day.

Answers

15x - 30 = 105 is the mathematical statement


Convert 36 inches to feet. There are 12 inches in a foot.

Answers

Answer:

3 feet

Step-by-step explanation:

3 feet

Step by Step Explanation:
Since there are 12 inches in a foot you would divide 36 by 12 to get 3ft

What is an equation of a circle with center (2, -1) that passes through the point (3, 4)?

Answers

Answer:

(x - 2)^2 + (y + 1)^2 =  26

Step-by-step explanation:

A circle with center O(2, -1) that passes through the point A(3, 4).

=> The radius of this circle is OA which could be calculated by:

OA = sqrt[(3 - 2)^2 + (4 - (-1))^2] = sqrt[1^2 + 5^2] = sqrt[26]

The equation of a circle with center O(a, b) and radius r could be written as:

(x - a)^2 + (y - b)^2 = r^2

=> The equation of circle O above with center O(2, -1) and radius = sqrt(26) is shown as:

    (x - 2)^2 + (y - (-1))^2 = (sqrt(26))^2

<=>(x - 2)^2 + (y + 1)^2 = 26

Hope this helps!

Answer:

(x-2)²+(y+1)²=26

Step-by-step explanation:

(x-2)²+(y+1)²=26

distance formula for radius

√(3-2)²+(4--1)² = √26

(x-h)²+(y-k)²=r²

Which graph represents the function f(x) = log10(x) − 2? (1 point) logarithmic function passing through point 3, 0. logarithmic function passing through point negative 1, 0. logarithmic function passing through point 1, 2. logarithmic function passing through point 1, negative 2.

Answers

Answer:

logarithmic function passing through point 1, -2.

Step-by-step explanation:

f(x) = log10(x) - 2

Option: logarithmic function passing through point 3, 0 is incorrect because:

f(3) = log10(3) - 2 ≈ -1.5

Option: logarithmic function passing through point -1, 0 is incorrect because log10 is not defined for x < 0

Option: logarithmic function passing through point 1, 2 is incorrect because:

f(1) = log10(1) - 2 = -2

which means that option: logarithmic function passing through point 1, -2 is correct.

the radius of a circle is 2 in. Find the circumference to the nearest tenth?(urgent)

Answers

Answer:

C = 12.6 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2* pi*r

Using 3.14 for pi and 2 for r

C = 2 * 3.14 *2

C =12.56

To the nearest tenth

C = 12.6 inches

Answer:

[tex] = 12.56 \: in[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 2 \\ = 4 \times \pi \\ = 12.56 \: \: in[/tex]

hope this helps you

Help me ASAP please, I really want to finish this

Answers

Answer:

C. 1.5 ft

Step-by-step explanation:

Using the Pythagorean theorem:

[tex]x=\sqrt{3.9^2-3.6^2}=\sqrt{15.21-12.96}=\sqrt{2.25}=1.5[/tex]

Hope this helps!

I agree with the answer above it's 1.5 ft which is C.

:D


Match the function with the graph.
g(x) = -(x-6)
b
g(x) = -x + 6
a
c. g(x) = (x+6)
d. g(x) = -7° - 6
Please select the best answer from the choices provided

Answers

Can I see the graph?

Answer:

A) g(x)= -(x-6)^2

Step-by-step explanation:

The graph is of a parabola, so there must be a ^2

If you plug the equation into the graphing calculator it will graph it for you.

HELP!!
Determine if the triangles in the figure are congruent if so right the congruency statement and the reason the triangles are congruent explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

Statement                                         Reason

ab = bd                                               Given

ac=cd                                                  Given

bc = cb                                                definiton of reflex line

triangle abc is congruent to triangle dbc      side side side postulate

Answer: It has been very long since I did geometry but, the triangles are definitely congruent.

Step-by-step explanation:

I do not know the congruency statement but I can tell you why. First of all, those red lines on the triangles indicate that two sides of both triangles are congruent to each other. Lastly, both of them share one line which means, all lines are congruent to each other.

∠ABC=∠DBC

I hope this helps :)

947/7 it is hard because it is confused

Answers

Answer:

135.2857142857143

Step-by-step explanation:

its right?

Answer:

7 x 1 = 1

9-7=2

7 x 3 = 21

24-21=3

7 x 5 = 35

37-35=2

135 remainder 2

Step-by-step explanation:

Other Questions
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Required: 1. & 2. Indicated below whether each item is a separate performance obligation and allocate the transaction price of 100,000 Protab Packages to the separate performance obligations in the contract. 3. Prepare a journal entry to record sales of 100,000 Protab Packages (ignore any sales of extended warranties). why can AIDS be classified as both an infectious disease and an immune system disorder ? i need help on doing my paper tthe topic is shoukd there be free edcuation which i already chose on yes there should im giving 24 points Which of the following accurately describes how lowering the requiredreserve ratio increases the money supply?O A. When the required reserve ratio is lowered, banks make less profiton money loaned out.B. When the required reserve ratio is lowered, the inflation rate goesup and people spend less money.C. When the required reserve ratio is lowered, banks charge lowerinterest rates that make loans more affordable.D. 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A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mean 3125 and standard deviation 250. Calculate the approximate 90th percentile for the distribution of the total contributions Which features did you include in your answer? Check all that apply.Its specific and testable.It can be used to form a hypothesis.It is not based on an opinion or values.It does not relate to the supernatural. Can someone help me with this, I will mark you as brainliest! This excerpt from "Gandhi Defends His Beliefs" is important because _____.A.it contains a contradictionB.it concludes Gandhi's argumentC.it makes use of figurative languageD.it explicitly states Gandhi's purpose Which would be a result of a malfunctioning excretory system?paralysismemory losstoxic buildupdifficulty breathing 1. An object with a mass of 15 kilograms is pushed by a force of 30 Newtons. 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