Mathematics High School

An office manager has $11,000 to spend on new equipment. He planned to purchase 400 chairs for $72 each. He completed the calculations and concluded that there would be plenty of money left to buy additional equipment. Answer problems 4–6. LOADING... Click the icon to view the calculations. 4. What does the office manager do to support his thinking? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. He does a calculation to find the cost of 400 chairs and compares the amount to $ nothing. (Type a whole number.) B. He does a calculation to find the cost of the additional equipment. C. He does a calculation to find the cost of 72 chairs. D. He does a calculation to find the difference between the cost of 400 chairs and the cost of the additional equipment and compares the amount to $ nothing. (Type a whole number.)

Answers

Answer 1

Answer:

A. He does a calculation to find the cost of 400 chairs and compares the amount to $11,000

Step-by-step explanation:

Step one:

given data

total money =$11,000

number of chairs to be purchased= 400

cost per chair=$72

Step two:

the cost of 400 chairs will be

400*72= $28,800

there will be a deficit of

=28,800-11,000

=$17,800.

This shows that the office manager does not have enough funds for the purchase.

Hence to support his thinking,

A. He does a calculation to find the cost of 400 chairs and compares the amount to the amount he has.

Related Questions

As an estimation we are told £3 is €4.
Convert €12 to pounds.

Answers

Answer:

£9

Step-by-step explanation:

3 x 4 = 12

3 x 3 = 9

Answer:

£9

Step-by-step explanation:

£3 -> €4

£? -> €12

so three times three

3 x 3 = 9

Another way

3 divided by 4 is .75

so multiply .75 by 12

Two numbers differ by 4. The product of the two numbers is 221. What are the numbers?

Answers

Answer:

17 and 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Represent this with two linear equations:

x+4 = y

x * y = 221

substitute for y:

y= 221/x

Plug this back into first equation:

221/x = x +4

x^2 + 4x = 221

x^2 + 4x -221 = 0

Solve this with a quadratic:

x = -17, x = 13

take the values of 17 and 13, which satisfy the given conditions

Rewrite this number in scientific notation: 494,000

Answers

Answer:4.94*10^5

Step-by-step explanation:

Step-by-step explanation:

Hello there! I think the answer is: 4.94 × 10^5

In scientific notation, you move the decimal point until you get a number between 1 and 10. Then you count the number of digits after.

My reasoning is below-

There are 3 zeros right of the number 494.

Therefore, I got the answer 4.94 x 10^5

Which of the following numbers is rational?

-9

0
all of the above

answer quick for brainllest

Answers

-9 is irrational number

Answer:

all of the above

Step-by-step explanation:

Franklin school is having a Popsicle party for its nine hundred fifty four students.The secretary there will some Popsicle left over to share with the teachers. Each student will get two Popsicle. Popsicle come in boxes that have one dozen Popsicle. There are twenty-five boxes in cartoon, how many boxes of Popsicle? Show your work.

Answers

Answer:

175 boxes

Step-by-step explanation:

There are a total of 954 students since each student will get two popsicles that would mean we need a total of 1,908 popsicles (954 * 2). Since each box contains 12 popsicles then we simply divide the total number of popsicles needed by the number of popsicles that fit in each box to find the total number of boxes.

1,908 / 12 = 159 boxes

Since there are 25 boxes per carton we divide 159 by 25

159 / 25 = 6.36

Now we see that we need at least 6.36 cartons of popsicles, but since we can't get 6.36 we would need to get 7 cartons which would bring a total of

7 * 25 = 175 boxes

Finally, we would end up with 175 boxes of popsicles which would be enough for all the students and have leftover for the teachers.

(6x³ - 16x² + 11x - 5) + (3x - 2)

Answers

Answer:

Step-by-step explanation:

6x3 - 16x2+ 11x - 5+ 3x - 2

Solving like terms

6x3 - 16x2 + 14x - 7

if 15% of a number is 12 and 95% of the same number is 76, find 80% of that number

Answers

I’m pretty sure the answer is 64. I think 80% of that number is 64

3 3/4 x 2/5 please help

Answers

Answer:

3.3

Step-by-step explanation:

hope this help

What could the equation of these two lines be?

Answers

Answer:

I think it's y=mx+b

Step-by-step explanation:

Is the following true or false? Why?
x < 8 is the same as 8 < x

Answers

Answer:

False.

Step-by-step explanation:

X can not be less than 8 and also greater than 8 and the same time.

HELPPPP drag the correct equation to the graph

Answers

So from this I’m assuming you don’t know the connnection between graphs and linear equations.

Let’s do an example together.

The 3x is your slope (your rise and run)
Specifically this one is up 3 and to the right once

Your 5 is your y-intercept. That is where the line crosses the y-axis.

All in all, your line should look like this:

How many solutions does the equation have? 5(w−1)−2=5w+7

Answers

Answer: no solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(w-1)-2=4w+7

(5×w-5×1)-2=4w+7

5w-5-2=4w+7

-5-2-7=4w-5w

-14=-w

-14/-=-w\-

w=14

What is the solution to the system of equations?
8x + y = -16
3x – y = 5

Answers

Answer:

For the first one if solving for y, y=−8x−16. If solving for x,

x= −1/8y-2

For the second one if solving for y, y=3x−5 and if solving for x,

x=1/3y +5/3

can someone help me? (m is a variable if you didnt know, thats what im trying to figure out)-1.5m = -2.55

Answers

Answer:

m = 1.7

Step-by-step explanation:

Divide each side by -1.5 to cancel out the -1.5 next to m. It should now look like this: m = 1.7

I hope this helps!

Which of the following equations represents the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial
deposit of $250 and pays an annual interest rate of 2%?

Answers

Answer:

Step-by-step explanation:

Given

Initial deposit (Principal)= $250

Rate = 2%

Time = 1year (annual interest)

Required

Amount after 1 year

First we need to calculate interest

Interest = PRT/100

Interest = 250*2*1/100

Interest 2.5 * 2

Interest = $5.0

Next is to calculate amount;

Amount = Principal + Interest

Amount = $250 + $5

Amount = $255

Hence the value of a savings account at the Owl Credit Union at Dundalk High School that has an initial deposit of $250 and pays an annual interest rate of 2% is $255.

Amount = P + I

Value of savings account is $255

Simple Interest rate;

Given that:

Initial deposit = $250

Annual interest rate = 2% = 0.02

Find:

Equations represents value of savings account

Computation:

Equations represents value of savings account = P + PRT

Equations represents value of savings account = 250 + (250)(0.02)(1)

Equations represents value of savings account = 250 + 5

Equations represents value of savings account = $255

Find out more information about 'Savings account'.

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5x + 8 = 43
What is x

Answers

Answer:

x = 7

Step-by-step explanation:

You minus 8 from both sides which becomes, 5x = 35,

35 ÷ 8 = 7

Check work:

5 times 7 = 35.

35 + 8 = 43

The solution is: solve of the equation 5x + 8 = 43 is: x = 7.

Here, we have,

given that,

the equation is: 5x + 8 = 43

now, we have to solve this.

so, we have,

5x + 8 = 43

we minus 8 from both sides which becomes,

5x = 35

we know that, 5 times 7 = 35

Divide 5 on both sides so that the only thing remaining on the left side is the variable x.

so, x = 7

Final Answer: 7

Hence, The solution is: solve of the equation 5x + 8 = 43 is: x =7.

To learn more on equation click:

brainly.com/question/24169758

#SPJ6

Help me plz I need help

Answers

Answer:

5 5/8

Step-by-step explanation:

3+2=5 then you have to find the common denominator which is 8 so you take 1/2x4= 4/8. So now you have 3 1/8+ 2 4/8= 5 5/8

Kenya picked 18 flowers from her garden. If 3− 5of flowers in her garden remain unpicked, how many flowers are still in her garden?

Answers

Answer:

Step-by-step explanation:

It is 4 because 4 is a even number in the scale in 3-4 and 18 is even.

Let me know if its wrong

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rectángulo cuyo largo mida el doble del ancho, el margen superior mida 3 centímetros, el izquierdo 5 centímetros y los márgenes inferior y derecho midan 2 centímetros cada uno. ¿Cuál es el perímetro de la región impresa?, ¿cuál es el área?

Answers

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

[tex] l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm [/tex] (2)

[tex] a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm [/tex] (3)

El perímetro del rectángulo interno es:

[tex] P_{2} = 2l_{2} + 2a_{2} [/tex] (4)

Introduciendo la ecuación (2) y (3) en (4):

[tex] P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm [/tex]

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

[tex] l_{2} = 2a_{2} [/tex] (5)

Introduciendo (5) en (4):

[tex] P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2} [/tex]

[tex] a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm [/tex]

[tex] l_{2} = 2a_{2} = 2*12 cm = 24 cm [/tex]

Entonces el área es:

[tex] A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2} [/tex]

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

The Baldwin family walked four over five of a mile in four over nine of an hour. What is their unit rate in miles per hour? (5 points)

four-ninths over four-fifths equals four over nine mile per hour
four-fifths over four-ninths equals one and four-fifths miles per hour
four-ninths over four-fifths equals one and four-fifths miles per hour
four-fifths over four-ninths equals four over nine mile per hour

Answers

Answer:

4/5 / 4/9 = 1 and 4/5 mph or B

Step-by-step explanation:

4/5 / 4/9

4/5 times 9/4 = 36/20

36/20 simplified = 9/5

9/5 = 1 and 4/5

Answer:

4/5 over 4/9 = 1 4/5

Explanation:

(Took test)

Step-by-step explanation:

4/5 mile in 4/9 of an hour

0.8 mile in 0.444444444 of an hour

Unit rate: 1.8 miles per hour

0.8 = 8/10 = 4/5

1.8 = 1 4/5

Will give brainliest

Answers

Answer:

Step-by-step explanation:3(2x1+3)-4(1-3)+3x2

can someone answer this please!!?

Answers

Answer:

6 minutes

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

i'm pretty sure by my equation, i'm sorry if it is wrong..

Answer:

Sound engineers use a mixing console to control volume, balance, and EQ o a live performance.

Answer:

so you can give the other person brainlist

Step-by-step explanation:

an atom of a certain element has 35 protons and has 7 valence electrons. which statement best identifies the element ?

Answers

Answer:

the number of protons identifies what element it is, since it has 35 protons it is Bromine

number of protons=atomic number

The element is Bromine which as atomic number of 35.

Atomic number :

The number of protons in an atom is equal to atomic number.

It is given that, an atom of a certain element has 35 protons and has 7 valence electrons.

So that, atomic number of atom [tex]=35[/tex]

From periodic table, It is observed that Bromine has atomic number of 35.

Learn more about atomic number here:

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Please help me with these 5 questions

Answers

Answer:

4. 85

5. 23.9

The rest are correct

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