The Turner family and the James family each used their sprinklers last summer. The water output rate for the Turner family's sprinkler was
25L
per hour. The water output rate for the James family's sprinkler was
15L
per hour. The families used their sprinklers for a combined total of
75
hours, resulting in a total water output of
1475K
. How long was each sprinkler used?

Answers

Answer 1
x will be the turner family, y will be the James family
using the givens we construct first this equation
[tex]25x + 15y = 1475 [/tex]
then this one

[tex]x + y = 75 [/tex]
multiply the second by 15 to get

[tex] 15x + 15y = 1125[/tex]
now subtract it from the first to get

[tex]10x = 350 \\ x = 35[/tex]
substitute to find that

[tex]35 + y = 75 \\ y = 40[/tex]
35 hours for Turner, 40 hours for James

Related Questions

help now I don't know !!!

Answers

Negative number= the number add from zero
Positive number= the number on the right side of zero

Additive inverse: the additive inverse of a number a is the number that when added to a yields zero.It's also known  as the opposite sign change  and negation. For a real number  it reverses its sign: the opposite to a positive number is negative and the opposite to a negative number is positive

Integer:Any number that is positive negative or nuetral, intergers cannot have decimals or fractions

Negative number: A number that is below zero. For example, -1 or -2 2/3

Positive number: A number that is above 0. For example, 1 or 2 2/3. You can also write a positive number with a + sign infront of it. For example, +1 or +2

good luck

Can someone plz help me find the GCF if number 9 plz

Answers

The answer should be 4, 4 can go into all of these numbers
Greatest Common Factor is..... 4.

Perform the indicated operation.

x3 • x2

Answers

I believe it would be x5 considering you must add exponents when you multiply.

Answer:

[tex]x^3\cdot x^2=x^5[/tex]

Step-by-step explanation:

The rule to multiply two powers with the same base consists in adding the exponents. The general form would be:

[tex]x^a\cdot x^b=x^{a+b}[/tex]

For verifying the previous rule, let's say that x=2, a=2 and b=3. The equation would be:

[tex]2^2\cdot 2^3=2^{5}[/tex]

[tex](4)\cdot (8)=2^{5}[/tex]

[tex]32=32[/tex]

We have obtained the result multiplying individually and applying the rule.

Now, for the [tex]x^3\cdot x^2[/tex] exercise, the result would be obtained by adding 3 and 2. It would be:

[tex]x^3\cdot x^2=x^{3+2}=x^5[/tex]

The solution is [tex]x^5[/tex]

what is Fraction equation that equals 10

Answers

Hey there,


Here is your answer:

10/1 = 10

Hi 50/5 = 10 hope this helps !

Susanna spends a total 0f 47 minutes on her project. How many more minutes than Susanna does Abby spend working? Draw a number line to model the problem, and write an equation to solve.

Answers

a - 47 = more time spent


Final answer:

In this mathematical problem, Abby's time is represented as x and the difference in time between Abby's and Susanna's work can be modeled by the equation x-47=y, where y is the extra time Abby spends. A number line can be used to visualize this problem, but without knowing Abby's time, we cannot determine y.

Explanation:

The subject of this problem is mathematics and it discusses time spent by two individuals on their project. We know that Susanna spends 47 minutes on her project. However, we do not know how much time Abby spends on her project. We could represent the time Abby spends on her project as x.

To visualize the situation, we can draw a number line. Place a point at 47 which represents Susanna's time. Then place another point at x which represents Abby's time.

The difference in time between Susanna and Abby can be represented by the equation x - 47 = y, where y is the number of extra minutes Abby spends working on her project.

Without any additional information on how much time Abby spent on her work, it's impossible to give a specific answer.

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I need help with these last two please?

Answers

2.
(8-5)^2+12/4
=3^2+12/4
=9+12/4
=9+3
=12

7.
(26-2)/3+6^2
=24/3+6^2
=8+6^2
=8+36
=44
These should be the answers.

whats the equivalent of this equation? help please

Answers

[tex]9^{\frac{1}{8} }[/tex]x

note that [tex]\sqrt[4]{9}[/tex] = [tex]9^{\frac{1}{4} }[/tex]

and all raised to the power [tex]\frac{1}{2}[/tex] x

multiply [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{2}[/tex] x = [tex]\frac{1}{8}[/tex] x


Edison has a sales job and receives $45,448 as his annual pay plus commission his company pays him commission of 15% on this total sales if he makes sales of $25000 in the first 3 months how much will he be paid for those 3 months

Answers

Answer:

Edison will be paid $15,112 for the first three months.

Step-by-step explanation:

We know that Edison receives an annual fixed pay of $45,448. Therefore, his fixed pay for each month will be [tex]\frac{45448}{12}=\$3787.33[/tex]

Therefore, his fixed pay for the 3 months will be [tex]3787.33*3=\$11362[/tex].

Now let us compute the commission that Edison received. For that we will compute the 15% of the total sales for those 3 months. Total sales for the 3 months is $25000. Therefore, his commission would be [tex]0.15*25000=\$3750[/tex]

Therefore, total pay that Edison received during first 3 months would be:

[tex]11362+3750=\$15,112[/tex]

Edison will be paid $48,862 for the first 3 months.

To calculate Edison's total payment for the first 3 months, we need to consider both his annual pay and the commission he earns from his sales.

First, let's calculate the commission Edison earns from his sales. He makes sales of $250,000 in the first 3 months, and the commission rate is 15% of the total sales. The commission can be calculated as:

[tex]\[ \text{Commission} = \text{Total Sales} \times \text{Commission Rate} \] \[ \text{Commission} = \$250,000 \times 0.15 \] \[ \text{Commission} = \$37,500 \][/tex]

Next, we need to calculate Edison's base salary for 3 months. Since his annual pay is $45,448, we divide this by 4 to get the quarterly pay (as there are 4 quarters in a year):

[tex]\[ \text{Quarterly Pay} = \frac{\text{Annual Pay}}{4} \] \[ \text{Quarterly Pay} = \frac{\$45,448}{4} \] \[ \text{Quarterly Pay} = \$11,362 \][/tex]

Now, we add the quarterly pay to the commission to find the total payment for the first 3 months:

[tex]\[ \text{Total Payment for 3 Months} = \text{Quarterly Pay} + \text{Commission} \] \[ \text{Total Payment for 3 Months} = \$11,362 + \$37,500 \] \[ \text{Total Payment for 3 Months} = \$48,862 \][/tex]

I don’t understand this. In class we have been doing these problems with only one transversal, not two.

Answers

Answer: Yes it is possible. Angle DCF is also 50 degrees

=================================================

Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.

please answer quickly thanks :) good morning btw

Answers

1. 1/9

2. 0

3. -9

4. -1

Reasoning: To get the opposite of a number just add a negative sign or take it away. This can be done to all numbers other than 0

The slope of a line is 0. What do you know about the line?

Answers

Your answer (C, the line is vertical) is correct

Your line would have to be horizontal. A vertical line yields an undefined slope.

Slope is rise over run. For a horizontal line you would have 0 rise and X amount of run or 0/x. 0 divided by anything = 0

For a vertical line, you would have the opposite, X rise and 0 run or x/0. You cannot divide by 0. It is impossible.

Therefore, your answer is the second option.

is feet a type of surface area

Answers

Yes it is permitted area all has to do with that

It would have to be feet squared, it couldn't just be feet.

-12-a=6y+12
solve the equation

Answers

Answer:

a = -1

Step-by-step explanation:

[tex]-12-a=4a-7\qquad|\text{add 12 to both sides}\\\\-a=4a+5\qquad|\text{subtract 4a from both sides}\\\\-5a=5\qquad|\text{divide both sides by -5}\\\\\boxed{a=-1}[/tex]

2c - 5 < -21 - 2c pls

Answers

2c - 5 < -21 - 2c     |add 5 to both sides

2c < -16 - 2c      |add 2c to both sides

4c < -16      |divide both sides by 4

c < -4

Two enterprising college students decide to start a business. They will make up and deliver helium balloon bouquets for special occasions. It will cost them $39.99 to buy a machine to fill the balloons with helium. They estimate that it will cost them $2.00 to buy the balloons, helium and ribbons needed to make each balloon bouquet. Which of the following expressions could be used to model the total cost for producing b balloon bouquets?

$2.00b + $39.99$37.99b$39.99b + $2.00$41.99bSave

Answers

I think it's the second equation. I could be wrong but I think that's what it is

Answer:

Option A.

Step-by-step explanation:

Machine to fill the balloons with helium will cost = $39.99

Cost of the balloons, helium and ribbons for each bouquet = $2.00

If b balloon bouquets are produced then cost of b balloon bouquets = $2b

Total cost for producing b balloon bouquets = cost of machine + cost of material

                                                                           = $(39.99 + 2b)

Therefore, cost to produce b bouquets will be $2.00b + $39.99

Hence option A is the answer.

What is 2 1/6 - 3 4/9?

Answers

To solve the question, first factorize both fraction,which makes:

2 1/6 - 3 4/9
= 2/6 - 12/9
= 1/3-4/3
= -3/3
= -1

Hope ot helps!

The function p(x)=8x-10 shows the profit, in dollars, for selling x books.

Answers

p(10) is the profit, in dollars, from selling 10 books. Replace every copy of x with 10 and simplify

p(x) = 8x-10

p(10) = 8*10-10 .... every x is replaced with 10

p(10) = 80-10

p(10) = 70

So the profit is $70

For the function p(x) = 8x - 10, the profit for selling 20 books is $150.

Explanation:

In the problem, the function p(x) = 8x - 10 represents the profit, in dollars, for selling 'x' books. When it's stated that p(20) = 150, it means that by substituting the value of 'x' as 20 in the function, we get the value as 150. In terms of the problem, it means that the profit for selling 20 books is $150.

Let's break down the problem step by step.

1. You're given the function p(x) = 8x - 10, which represents the profit, in dollars, for selling x books. In this equation, p(x) is the profit, and \(x\) is the number of books sold.

2. You're asked to evaluate the function at x = 20, which means you want to find p(20). To do this, substitute x = 20 into the function and calculate the result.

  p(20) = 8(20) - 10

3. Perform the calculation:

  p(20) = 160 - 10

4. Complete the subtraction:

  p(20) = 150

So, p(20) = 150, which means that the profit for selling 20 books is $150. This is the interpretation of the statement "p(20) = 150" in terms of the problem.

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The probable question can be: The function p(x) = 8x - 10 shows the profit, in dollars, for selling x books.

p(10) = 70

p(20) = 150

What does p(20) = 150 mean in terms of the problem?

It costs $150 to make 20 books.

It costs $20 to make 150 books.

The profit for selling 150 books is $20.

The profit for selling 20 books is $150.

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a jar contains 2 red and 4 blue marbles. a marble is drawn from the jar. what is the probability that a red marble will be drawn?

Answers


2 red / 4 blu

just semplify

1 red / 2 blu

so the probability is

1/2


Answer:

The answer is 50% Hope this helps!

Ella owns 15% of Fitz Incorporated. The rest of the shares are owned equally by the remaining 5 shareholders. What percent of the corporation does each of the other shareholders own?

Answers

Answer:

17%

Step-by-step explanation:

The total corporation shares is 100%If Ella owns 15% of Fitz,the remaining shares is 100-15=85%If there are 5 shareholders and they all own equal shares,the percentage for each shareholder will be;85/5=17% each

Final answer:

Ella owns 15% of Fitz Incorporated, and the remaining 85% is shared equally among 5 other shareholders. Thus, each of these shareholders owns an equal share of 17% of the corporation.

Explanation:

The question asks about corporate stock and how it relates to the percentage of ownership in a corporation. Ella owns 15% of Fitz Incorporated, and the remaining 85% is owned equally by 5 other shareholders. To find the percentage each of these shareholders owns, we divide the remaining percentage by the number of shareholders.

The calculation would be:

Subtract the percentage owned by Ella from the total, which is 100% - 15% = 85%.

Divide this remaining percentage (85%) by the number of other shareholders, which is 5.

85% / 5 = 17% ownership for each of the other shareholders.

So, each of the remaining 5 shareholders owns 17% of the corporation.

Let p: x < −3 Let q: x > 3 What is represented by p ∨ q? x < −3 and x > 3 x > 3 or x < −3 If x < −3, then x > 3 x < −3 if and only if x > 3

Answers

[tex]\vee=or\\\\therefore\\\\p:x < -3\ ; q:x > 3\\\\p\vee q\to x < -3\ or\ x > 3[/tex]


[tex]\wedge=and\\\\\Rightarrow=if\ ...,\ then\ ...\\\\\Leftrightarrow=if\ and\ only\ if[/tex]

Answer:

the one with or just got it right

Step-by-step explanation:

I need help remembering the steps to 56=
2(x+2)

Answers

The answer would be 26. Basically all you have to do is divide 56 by 2 which is 28, but since it says x+2 you want to subtract 2 from 28 leaving you with 26.

A student notices in the table below that as the x-value increases by 5, the y-value decreases by 2. Because there is a pattern, the student has determined that, x is proportional to y.



Do you agree with the student’s claim? Why or why not?

___________

Answers

X

5x1=5

5x2=10

5x3=15

5x4=20

5x5=25

Y

20-2=18

18-2=16

16-2=14

14-2=12

X Is by 5 and Y is subtracting by 2


two times the sum of v and w is equal to two times z. translate into equation

Answers

the equation will be: 2(v+w)=2z

Evaluate the expression for the given values of the variables.
4a+7b+3a-2b+2a ;
a=-5 & b=3

a) 17

b) -5

c) -20

d) -30

Answers

The answer is D or -30

The value of the expression for the given values of the variables is -30.

The given expression is 4a+7b+3a-2b+2a, the values of the variables a=-5 and b=3.

We need to evaluate the expression for the given values of the variables.

How to find the value of the expression?

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

Now, put a=-5 and b=3 in the given expression and simplify.

That is, 4a+7b+3a-2b+2a=4(-5)+7(3)+3(-5)-2(3)+2(-5)

=-20+21-15-6-10

=-30

Therefore, the value of the expression for the given values of the variables is -30.

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Witch expression is equivalent to g-^m ➗ g^n?

A. g-^m + ^n

B. g-^m • n

C. g-^m -^n

D.g-^m ➗ ^n

Answers

Answer,

C.g-^m -^n


Hope this helps :-)

Which of these is not an integer?
6/3
3/6
6/2

Answers

Answer:

3/6is not a integer.

Step-by-step explanation:

6/3 integer

6/2 integer

3/6 not a integer

Final answer:

The fraction 3/6 is not an integer because it equals 0.5, which is a fraction and not a whole number.

Explanation:

To determine which of these values is not an integer, we need to perform the division for each fraction:

6/3 = 2, which is an integer3/6 = 0.5, which is not an integer; it is a fraction6/2 = 3, which is an integer

Therefore, 3/6 is not an integer because when you divide 3 by 6, you get a fractional number rather than a whole number.

A landscaper has 34 ton of mulch. She puts 116 ton of mulch on each flower bed.

How many flower beds does she put mulch on?

Enter your answer in the box.

The Answer Is 12

Answers

yes the answer is 12



                                                       hope it helps

The answer would be 12

What is the complement of a single die being rolled to a number greater than 2

Answers

a single die being rolled to a number less or equal to 2

Final answer:

The complement of rolling a number greater than 2 on a single six-sided die is rolling a 2 or less, which has a probability of 1/3.

Explanation:

In the context of a single six-sided die roll, the complement of rolling a number greater than 2 would be rolling a number that is 2 or less, which in this case includes rolling a 1 or a 2. Each face of a fair six-sided die has an equal chance of landing face up, giving us a probability of 1/6 for landing on a specific number. Since there are two outcomes that are 2 or less (1 and 2), we simply add their probabilities to get the complement. Thus, the complement of rolling a number greater than 2 is:

P(rolling a 1 or 2) = P(rolling a 1) + P(rolling a 2)
= 1/6 + 1/6
= 1/3.

Therefore, there is a 1/3 chance of rolling a number that is 2 or less when rolling a single fair six-sided die.

Johnny makes $8.25 an hour working at the local restaurant. His paycheck shows that he works 29.5 hours over the past week. How much money did Johnny make? (Not rounded to the nearest cent)

Answers

To do this you can do (pay) x (hours) to work out how much Johnny makes for example:

8.25 x 29.5 = 243.375$ so the answer is 243.375$

Answer:

The correct answer is B) $243.397

Step-by-step explanation:

Kenya solved the equation below. -6
(x-2)+3x=-3(x+3)+21 What is the solution to Kenya’s equation? –4 12 no solution infinitely many solutions

Answers

Answer:

Kenya’s equation has infinitely many solutions

Step-by-step explanation:

we have

[tex]-6(x-2)+3x=-3(x+3)+21[/tex]

Solve for x

Eliminate the parenthesis

[tex]-6x+12+3x=-3x-9+21[/tex]

Group terms that contain the same variable

[tex]-6x+3x+3x=-9+21-12[/tex]

Combine like terms

[tex]0=0[/tex]  ---> is true for any value of x

therefore

Kenya’s equation has infinitely many solutions

Answer:

D

Step-by-step explanation:

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