solve the following problem.

1. A leaking faucet waste about 3 liters of water a day. How many liters of water can be saved daily if 500 leaking faucets are repaired?

2. The quotient is 25 and the divisor is 14. the dividend is 353. I am the remainder what number am I?

3. Isaiah had 63 apples. He divided all apples evenly among his 9 friends. How many apples did Isaiah give to each of his friends?

4. Nancy needs 5 oranges to make a glass of orange juice. If Nancy 250 oranges, how many glasses of orange juice can she make?​

Answers

Answer 1

Answer:

1) 1500 litres

2)Remainder = 3

3)7 apples

4)50 glasses

Step-by-step explanation:

1) We are told that a leaking faucet wastes about 3 liters of water per day.

Now, if 500 faucets are repaired, it means total number of litres saved per day = 500 × 3 = 1500 litres

2) We are told that the quotient is 25 and the divisor is 14. the dividend is 353.

Now, the quotient multiplied by the divisor should give us the dividend. Otherwise, we subtract the value we get from the dividend to get the remainder.

Thus:

Quotient × divisor = 25 × 14 = 350

This is not equal to the dividend.

Thus the remainder is;

353 - 350 = 3

Remainder = 3

3) We are told Isaiah had 63 apples.

If he divided the 63 apples among his 9 friends evenly, it means the number of apples received by each of his friends is gotten by Dividing the total number of apples by the number of friends. This gives; 63/9 = 7 apples

4) We are told Nancy needs 5 oranges to make a glass of orange juice.

Now, Nancy has 250 oranges. This means that the number of glasses of orange juice she can make is; 250/5 = 50 glasses


Related Questions

Find the value of x that makes lines u and v parallel. ​
Please help!

Answers

-1 + 9x = 8x + 9

1x = 10

x = 10

The value of x is 10.

Solve ab - c= d for a

Answers

Answer:

a=(d+c)/b

Step-by-step explanation:

a*b-c=d

a*b=d+c

a=(d+c)/b

Answer:

c+d /b

Step-by-step explanation:

The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389 (HomeAdvisor website, December 2014). How does the damage that results from home fires caused by careless use of tobacco compare? The DATAfile named TobaccoFires provides the cost to repair smoke and fire damage associated with a sample of 55 fires caused by careless use of tobacco products. Using past years' data, the population standard deviation can be assumed known with σ = $3,027.

Answers

Answer:

The alternative is characterized in the interpretation section following the table, as per the case mentioned.

Step-by-step explanation:

According to the question:

The sample mean will be:

⇒ [tex]\bar{x}=\frac{\Sigma x}{n}[/tex]

      [tex]=\frac{1050500}{55}[/tex]

      [tex]=19100[/tex]

The critical value of z ([tex]z_e=1.96[/tex]) seems to be the 95 % confidence interval. So the required confidence interval will be:

=  [tex]\bar{x} \ \pm \ x_{critical}\frac{\sigma}{\sqrt{n} }[/tex]

= [tex]19100 \ \pm \ 1.96.\frac{3027}{\sqrt{25} }[/tex]

= [tex]19100 \ \pm \ 800[/tex]

Consequently, the average cost of repairing flames and smoke injury can outcomes from household fires started by careless tobacco is therefore estimated at quite a 95 percent confidence interval ($18300, $19900). The 95 percent confidence interval indicates that the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

The 95% confidence interval is ($18300 , $19900) and according to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

Given :

The mean cost to repair the smoke and fire damage that results from home fires of all causes is $11,389.Sample size, n = 55.The population standard deviation can be assumed known with σ = $3,027.

First, find the sample mean by using the following formula:

[tex]\rm \bar{x}=\dfrac{\sum x}{n}[/tex]

[tex]\rm \bar{x}=\dfrac{1050500}{55}[/tex]

[tex]\rm \bar {x} = 19100[/tex]

Now, for 95% confidence level, the confidence interval will be:

[tex]= \rm \bar{x} \pm x_{critical} \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\rm = 19100\pm 1.96\times \dfrac{3027}{\sqrt{55} }[/tex]

[tex]=19100\pm 800[/tex]

The 95% confidence interval is ($18300 , $19900).

According to the confidence interval, the average estimated price of fires results through the use of tobacco is somewhat more costly than that of the average cost of flames results from across all factors that cause.

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If (3x2 – 5x + 5y - 2) is subtracted from (2x” + x - 1), what is the coefficient of x in the result?
O A. 2
OB. 6
OC. 4
OD. -1

Answers

Answer: 4

Explanation: -5x + x = -4x

What is the opposite of the reciprocal of –2.4?

Answers

2.4 = 24/10 = 12/5

, 2.4 = 12/5 =5/12

Answer:

2.4

Step-by-step explanation:

And if your trying to find the hundredth it would be 0 and 0 is less than 4 so it goes down

Given m||n, find the value of x.
1580
70

Answers

Answer:

x=22

Step-by-step explanation:

180-158=22

22 good luckkkk!!!!

Please help! Don't comment if you don't know it. Please.

Answers

Answer:

So what are you trying to figure out bc I may be able to help

I’ll mark you as brainliest if correct!

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Answer:

1.

Step-by-step explanation:

Plug -2 in for x for both functions.

[tex]2(-2)^{2} + 4 = 12\\-4(-2) + 3 = 11\\[/tex]

Now, subtract the two functions (f-g) (aka (f(x) - g(x))

12 - 11 = 1

The answer is 1.

Which function is graphed?
y=3 cot(x) + 2
y = 3 cot(x+3)
y = 3 tan(x)+2
y = 3 tan(x+2)

Answers

Answer:

y = 3 tan(x)+2

Step-by-step explanation:

The function y = 3 tan(x)+2 is shown in the provided graph option 3th is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

The missing figure is in the picture refer to the picture.

As we have a trigonometric function.

In the picture, the graph of a tanx is shown but 2 units up.

Thus, the function y = tan(x) + 2 is shown in the provided graph option 3rd is correct.

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Find the perimeter of the image below

Answers

Answer:

There isn't an image...

Step-by-step explanation:

There’s no image tho

Find the slope and the y-intercept of the line.
y=8x-9

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Answers

Answer:

slope=8

y intercept=-9

Step-by-step explanation:

the equation is in the form y=mx+b

where m is the slope and b is the y intercept.

What is the largest three-digit number divisible by 5, 6, and 21?

Answers

Answer:

840

Step-by-step explanation:

You can divide by 5 and get 168

840/6 = 140

840/21 = 40

Answer:

The largest 3 digit number divisible by 5, 6, & 21 is 840.

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Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

2/3 of a pizza was left over. A group of friends divided
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original pizza. After each friend took one piece, of
the original pizza remained. How many friends were
in the group?

Answers

Answer:

4 friends were I'm the

Step-by-step explanation:

i think

Solve
9x2-5x = 94x-8

Answers

Answer:

x=26262626262626...

Step-by-step explanation:

A math professor wears for each class a combination of : one of their three hats (red, blue,green); one of their pants (black, blue, white, green); one of their shirts (white, red, black);and one of their pair of shoes (black, red, blue, white). They never wear combinations withthree items of the same color. How many different combinations are wearable?

Answers

Answer:

There are 36 ways in which he can wear combinations with three items of the different color.

Step-by-step explanation:

Hat              Pants           Shirts           Shoes

red             black             red              black

blue           blue               black           red

green        green             white            blue

                 white                                  white

If we look carefully we see that he can choose any hat, any pant and any shirt but he can choose only one pair of shoes that does not match with any of the three.

3C1*4C1*3C1*4C4= 3*4*3* 1= 36

There are 36 ways in which he can wear combinations with three items of the different color.

Which number line represents all of the values of x for the equation x^2 = 64? (5 points)

Answers

Answer:

8

Step-by-step explanation:

x=8 because if you take the square root of 64 you get 8 so that means 8^2= 64

Answer:

C) I got it right

Step-by-step explanation:

Solve for x.
2x-1+12=6x+3

Answers

Answer:

es pepo cumbia

o PVP TU PON LA SALA Y YO LA HUMILLACIÓN

Answer:

2x-1+12=6x+3

X = 2

Explain:

2x-1+12=6x+3

2x+11+6x+3

( 2x+11 )+(-11-6x)=(6x + 3) + (-11  - 6x)

so that means

X=2

0.01 is 1/10 of what?

Answers

Answer:

0.1

Step-by-step explanation:

multiply 0.01 by 10 and then you get the answer

The number is 0.1.

what is fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

given:

0.01 is 1/10

let the number be x

x of 1/10 = 0.01

x* 1/10= 0.01

x= 0.01*10

x=0.1

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In physics, the Ideal Gas Law describes the relationship among the pressure, volume, and temperature of a gas sample. The law is represented with the formula PV = nRT, where P is the pressure, V is the volume, T is the temperature, n is the amount of gas, and R is a physical constant. Select all the equations that are equivalent to the formula PV = nRT. Group of answer choices
A. P = VnRT
B. R = PVnT
C. V = nRT / P
D. n = PV / RT
E. T = nR / PV
Also Theres Another Question
The temperature in degrees Kelvin is 273 degrees less than the temperature in degrees Celsius. Use the formula C = 5/9(F - 32) to write a formula for the temperature in degrees Fahrenheit F in terms of the temperature in degrees Kelvin K. A. F = 9/5(K - 273) - 32
B. F = 5/9(K + 273) + 32
C. F = 9/5C + 32
D. F = 9/5(K + 273) + 32
Also Please Answer My other Question I posted

Answers

Answer:

1. D and C

2. F = 9/5(k-273) + 32

Step-by-step explanation:

1. We simply want to write the given equation in different forms;

PV = nRT

So P = nRT/V

R = PV/nT

V = nRT/P

n = PV/RT

T = PV/nR

So the correct expressions are;

D, C,

2. we want to make F the subject of the formula, that would be;

C = 5/9(F - 32)

9C = 5(F - 32)

divide both sides by 5

9C/5 = F - 32

F = 9C/5 + 32

But K = C + 273

So C = K - 273

Insert this into the equation, we have

F = 9(K-273)/5 + 32

Find the value of f(2).
y = f(x)
10
8
6
4
-10
-8
-6
-4
-2
2
4
6
8
10
-2
4
-6
-8
-10

Answers

Answer:

the answer is d

Step-by-step explanation:

no explanation i did it before lol

What is Five less than twice a number
2w - 5
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2w - 5

This is the right expression

HELP!!! GIVING BRAINLEST

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Answer:

It’s to blurry for me ☹️

Step-by-step explanation:

I need my glasses

A line contains the points 6,23 and 12, 39 what is the slope of this line

Answers

8/3

You use the slope formula

Y2-Y1
———
X2-X1


Plug in our numbers

39-23 16 8
——— = — = —
12-6 6 3

We simply slice then simplify to get our answer which is

8

3

What is the area of a triangle with vertices at (-3,3), (2, 3), and (4,7)?
5 square units
10 square units
20 square units
40 square units

Answers

Answer:

Choice B

Step-by-step explanation:

The area of the triangle is 10 square units, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, angles, and vertices.

The triangle is classified into various types on the basis of the angle and on the basis of equality of the length of the sides.

The vertices of the triangle are at:

(-3,3), (2, 3), and (4,7).

The area of the triangle has to be determined.

The length of the sides will be calculated using the distance formula.

side 1 = [tex]\rm \sqrt { (3-3)^2 + ( 2 +3)^2}[/tex] = 5 units

side 2 = 2√5 units

side 3 = √65 units

The height of the triangle is determined by calculating the distance from (4, 7) to (4, 3).

The height of the triangle = 4 units

The area of a triangle is given by,

A = (1/2) * base * height

A = (1/2) * 5 * 4

A = 10 square units

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What is 127x 958/ 3 x 35+67-9+12/2 (-25)=

Answers

Answer:

The answer to that is 1419344.66667

Step-by-step explanation:

-4x+7=2y-3 ordered pair

Answers

Answer:

its 2112121211111111111111111111111111111111111111

Step-by-step explanation:

1r

Complete the steps to find the value of X
PLZ HELP LOTS OF POINTS!!

Answers

Step-by-step explanation:

72° + (7x + 24) = 180

7x + (72 + 24) = 180

7x = 180 - 96

7x = 84 divide both sides by 7

x = 12

A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours. What distance will he cover in 3 hours?

Answers

Answer:

180 Miles?

Step-by-step explanation:

First divide 150 by 2 1/2 (or 2.5)

You'll end up with 60

Then times it by the amount of hours (3)

60 x 3 = 180

I believe this is the answer; if I am wrong, deepest apologies.

Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?

Answers

Answer:

x(4 × 2) + x(3 × 4)

Step-by-step explanation:

The question says "which of the following equations" which infers you have already been given options. However, none were provided in the question so my answer may be slightly different than the given options as there's several ways to solve this problem.

Monday through Thursday = 4 days × 2 hours per day

Friday through Sunday = 3 days × 4 hours per day

To find the total for one week, add the two expressions together:

(4 × 2) + (3 × 4)

The question states for "x weeks" so:

x(4 × 2) + x(3 × 4)

This is one way the equation can be written

Another way is:

x[(4 × 2) + (3 × 4)]

If neither of these are answers for your mutliple choice question, then please provide the options and I will let you know which is correct

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