The number of children at the library was 3 times the number adults. The total number of people at the library was 48. How many children were at the library


A 12

B 24

C 32

D 36

Answers

Answer 1

Answer:

D 36

Step-by-step explanation:

Write the information algebraically

c = 3a

c + a = 48

c = children, a = adults

In the second sentence (in bold), we can replace c with 3a

c + a = 48 → 3a + a = 48

Simplify

3a + a = 48 → 4a = 48 → a = 12 (divide both sides by 4)

We can then substitute or plug in a = 12 into the original equation:

c + a = 48 → c + 12 = 48 → c = 36 (subtract 12 from both sides)

There are 36 children

Related Questions

A kennel charges $15 per day board dogs. Upon arrival, each dog must have a flea bath that costs $12.

Part A: Write a function rule for the total cost for n days of boarding plus a bath.

Part B: How much does a 10-day stay cost?

Part C: Does a 5-day stay cost half as much as a 10-day stay? Explain.


What I Think:


I think the function rule is C=15+12n.

10-day stay cost: 135

5-day stay: 75. No, a 5-day stay does not cost half as much as the 10-day stay.

Is this correct???

Answers

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

Use a truth table to determine whether to two statements are equivalent

Answers

Answer:

equivalent yan kasi pareho lang den nmn letters lng naiba


p(x) = 3(x + 10x + 5) - 5(x - k)

In the polynomial p(x) defined above, k is a
constant. If p(x) is divisible by x, what is the value
of k?

Answers

First, you should simplify the function expression.

 

3(x2 + 10x + 5) - 5(x-k) = 3x2 + 30x + 15 - 5x + 5k = 3x2 +15x +15 +5k

 

In order for the polynomial to be divisible by x, all terms need to divide by x with no remainder.  The first two terms clearly divide by x.  However, the last two do not.  In order for this to work out where k is constant, 5k would have to cancel out the  +15 term, leaving nothing to divide by x.

 

So: 15 + 5k = 0

 

5k = -15

k = -3

You are given the difference of the numbers of boys and girls in a class and the ratio of boys to girls. How many boys and how many girls are in the class?
3 more boys; 5 for every 4

Answers

9514 1404 393

Answer:

15 boys12 girls

Step-by-step explanation:

The difference in ratio units is 5 - 4 = 1. The difference in actual quantity is 3, so 1 ratio unit must represent 3 students.

There are 5×3 = 15 boys.

There are 4×3 = 12 girls.

use the distributive law to factor.
16m + 6n

Answers

Using the distributive law to factor, the expression becomes 16m + 6n = 2(8m + 3n)

GIven three integers A, B and C, according to the distributive property;

A(B+C) = AB + BC

Given the expression 16m + 6n

First, we need to get the factors of both terms

16m = 2 * 8 * m

6n = 2 * 3 * n

From both factors, we can see that 2 is common to both of them. Hence using the distributive law to factor, the expression becomes;

16m + 6n = 2(8m + 3n)

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Hey can you please help me

Answers

Answer:

dont understand

Step-by-step explanation:

An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?

Answers

For every 24 students there is one teacher. For every 12 students is one tutor. If the Academy had 132 students then you will need 11 tutors.

do -24 and -24 cancel each other out

Answers

No it does not the those together would be -48!

what's the slope of line parallel to the line x-4 = -6

Answers

Answer:

Parallel slope is undefined.

Step-by-step explanation:

x - 4 = -6

x = -2

Slope does not exist.

Georgia's baby brother weighed less than 11 pounds when he was born. Which of the following could be the number of ounces Georgia's baby brother weighed? Select all that apply. Note: 1 pound = 16 ounces

Answers

Answer:

Georgia's brother  > 176 Ounces

Step-by-step explanation:

He weighed LESS THAN 11 pounds, which is equal to 176 ounces. He must have weighed 175 ounces or less.

Answer:

0<x<176

Step-by-step explanation:

Describe the range of values for the correlation coefficient.

Answers

Answer:

The range of values for the correlation coefficient is -1 to 1 inclusive

Step-by-step explanation:

What is the length of ef in the right triangle below?

Answers

Answer:

24

Step-by-step explanation:

You're given a side and a hypotenuse in a right triangle, so you're able to use the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}\\\\a^{2} + (7)^{2} = (25)^{2}\\[/tex]

Now isolate a on one side and solve for a.

[tex]\\a^{2} = (25)^{2} - (7)^{2}\\\\a = \sqrt{(25)^{2} - (7)^{2}} \\\\a = 24[/tex]

Given that [tex]I_0 = 10^-12[/tex] watts/[tex]meters^2[/tex], what is the intensity of a sound for which the decibel level of the sound measures 156? Round off your answer to three decimal places.

Answers

The intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

Decibel level, dB = 10log₁₀(I/I₀) where dB = decibel level = 156, I = intensity at 156 dB and I₀ = 10⁻¹² W/m².

Since we require I, making I subject of the formula, we have

dB/10 = log₁₀(I/I₀)

[tex]\frac{I}{I_{0} } = 10^{\frac{dB}{10} } \\I = I_{0} 10^{\frac{dB}{10} }[/tex]

Substituting the values of the variables into the equation, we have

[tex]I = I_{0} 10^{\frac{dB}{10} }\\I = 10^{-12} 10^{\frac{156}{10} }\\I = 10^{-12} 10^{15.6}\\I = 10^{15.6-12} \\I = 10^{3.6} W/m^{2}[/tex]

I = 3981.072W/m²

I = 3.981 × 10³ W/m²

So, the intensity of sound which the decibel level of the sound measures 156 is 3.981 × 10³ W/m²

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Help me please (I have to write something to send a question)​

Answers

Answer:

1. This helps me to know if the answer of an opposite integer will be positive or negative by simply subtracting their absolute values then put the sign of the largest absolute value between the two.

2. By identifying first the largest absolute value of the two integers that are being add up. Without, calculations, i will know the sign of the sum.

3. the picture attached is the answer

Step-by-step explanation:

hope it will help you

OMG I NEED HELP WITH THIS ANSWER RN

The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?

A.
Little Rock's temperature > Lincoln's temperature

B.
Little Rock's temperature = Lincoln's temperature

C.
Little Rock's temperature < Lincoln's temperature

Answers

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

can anyone heelp me pls pls

Answers

Lotion - Liquid

Suspension - semisolid

Capsule - solid

hope this helps: )

Write the equation of the line passing through the points (6,2) and (-2,-2). The equation of the line is [] Please helppp!!

Answers

Answer:

Step-by-step explanation:

slope=(-2-2)/(-2-6)=-4/-8=1/2

eq. of line is

y-2=1/2(x-6)

2y-4=x-6

2y=x-6+4

2y=x-2

or y=1/2x-1

The total temperature measured by 3 thermometers was −15 degrees Fahrenheit.

What was the average temperature measured by the 3 thermometers?

Answers

-5 degrees Fahrenheit

Please help I’ll give brainliest

Answers

Answer:

ITS D GOOD LUCK WITH YOUR HMK

help me with this question please!!

Answers

Answer:

A = 2 pi R^2 + 2 pi R h         total surface area

R^2 = 48       2 pi R = 8 * 6^1.2     given

56 pi 6^1/2 - 2 pi R^2 = 2 pi R h     f rom first formula

28 *  6^1/2 /  R - R = h          divide by 2 pi r

28 *  6^1/2 /  R  = 28 * 6^1/2 / (4 3^1/2) = 7 * 2^1/2

h = 7 * 2^1/2 - 4 * 3^1/2

pls help meeeee
pls....​

Answers

Answer:

1→10

Step-by-step explanation:

12

27

45

105/4

49/2

2/15

2/9

22/45

7/12

1/3

U just need to multiply both the numerators and both the denominators
And then simplify the final answer
Eg: 3/10 * 4/9 = 12/90 = 2/15

HURRY PLEASEEEEE

The measure of segment AB with a(-4,-9) and B(4, -3) is

Answers

Answer: 10

Step-by-step explanation:

using [tex]d = \sqrt{(x_{1}-x_{2} )^{2} +(y_{1}- y_{2} )^{2} }[/tex] when [tex]P_{1} =(x_{1} ,y_{1} )[/tex] and [tex]P_{2} = (x_{2}, y_{2})[/tex]

so [tex]d = \sqrt{((-4)-4)^{2}+((-9)-(-3))^{2} }[/tex]

[tex]d = \sqrt{(-4-4)^{2}+(-9+3)^{2} }[/tex]

[tex]d = \sqrt{(-8)^{2}+(-6)^{2} }[/tex]

[tex]d = \sqrt{64+36}[/tex]

[tex]d= \sqrt{100}[/tex]

[tex]d = 10[/tex]

please give me a brainliest answer

after spending 5/6 of his January salary on paying school fees, Bikila was left with ksh 1500. how much money did he earn that month?​

Answers

Answer:

9000

Step-by-step explanation:

Find the area of the circle.

Answers

Step- by - Step Explanation:

Area of a circle=πr²

=3.14...×6²

=113.0973355292325

Approximately ≈113.1cm²

Please mark BRAINLIEST if I'm right.

Pairs of expressions are given. Select the pairs that are equivalent .

Answers

Answer:

All the options are correct

Write and simplify an expression for the difference between the perimeters of the rectangle and the hexagon

Answers

Answer:

hey man i need a screenshot or something

Step-by-step explanation:

Jennifer babysat for 5 hours and earned
$52.50. What is her hourly rate of pay?

Answers

Answer:

$10.50

Step-by-step explanation:

Answer:

$10.50

Step-by-step explanation:

Just do 52.50 divided by 5 to find the amount she is paid per hour, and that’s 10.5. Meaning she gets paid $10.50 per hour.

​NEED HELP ASAP RIGHT ANSWER ONLY 69 POINTS
In two or more complete sentences, determine the appropriate model for the given data and explain how you made your decision.

(2,−1), (3,0.5), (6,1.5),

Answers

Answer:

A Least Square Regression Line is the best thing to use for this because there is inconsistencies and no direct equation to be able to fill all of these points. They may be outliers and therefore we should use a calculator for a Regression Line to be calculated to find the residual.

Step-by-step explanation:

A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned

Answers

Linear equations are represented by straight line.

The required graph is graph (a).

The given parameters are:

[tex]\mathbf{Rate =15}[/tex]

Let x represents the number of weeks, and y represents the number of words in week x.

So, we have:

[tex]\mathbf{y = Rate \times x}[/tex]

Substitute 15 for Rate

[tex]\mathbf{y = 15\times x}[/tex]

[tex]\mathbf{y = 15x}[/tex]

The above equation means that:

[tex]\mathbf{(x,y) = (0,0)(1,15),(2,30)....}[/tex]

The graph that represents the above ordered pair is graph (a).

Read more about graphs at:

https://brainly.com/question/20853486

Answer:

im lost

Step-by-step explanation:

;;..

write 5,004,300 in standard form

Answers

Answer:

5.403×10⁶

Step-by-step explanation:

5.403×10⁶= 5004300

please mark me brainliest

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