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34kurt
1 year ago
7

Emily is entering a bicycle race for charity. Her mother pledges $0.40 for every 0.25 mile she bikes. If Emily

Mathematics
1 answer:
Olin [163]1 year ago
5 0
Her mother will donate $6 to Emily
Step by Step:
If emily’s mom pledges $0.40 every .25 miles u multiply .40*15
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What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1
torisob [31]

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

     = GJ+(HK-HJ)

     = 4x+2+((6x-1)-x)

     = 4x+2+6x-1-x

     =  

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

      =9(4)+1

       =36+1

       =37

find GH and JK=?

Given:

GK=37

Formula:  

GH = GJ-HJ

      = 4x+2- x

      = 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

      = 3(4)+2

      = 12+2

      = 14

Formula:

JK= HK-HJ

    = 6x-1- x

    = 5x-1

put the value of x in the above equation:

     = 5(4)-1

     = 20-1

     =19

8 0
2 years ago
It takes 12 minutes to fill an entire bathtub using both the cold and hot water. If just the cold water is used, it takes 18 min
Kipish [7]

Answer:

<h2>It takes 36 minutes to fill the bathtub using just hot water.</h2>

Step-by-step explanation:

We are gonna name V the complete volume of the bathtub, which is filled a certain amount of minutes. Each filling rate or speed is gonna be expressed as: \frac{V}{t}.

So, if we apply this consideration to each case we have:

Using cold and hot water: \frac{V}{12}

Using only cold water: \frac{V}{18}

Using only hot water: \frac{V}{x}; because we don't knot the time it takes to fill the bathtub with hot water.

Now, as you can see, Cold and Hot water is a sum of cold water only and hot water only:

\frac{V}{12}=\frac{V}{18}+\frac{V}{x}

Solving the equation for <em>x: </em>

\frac{V}{12}=\frac{xV+18V}{18x} \\\frac{V}{12}=\frac{(x+18)V}{18x}\\\\\frac{18xV}{V}=12(x+18)\\18x=12x+216\\18x-12x=216\\6x=216\\x=\frac{216}{6}=36

Therefore, it takes 36 minutes to fill the bathtub using just hot water.

7 0
2 years ago
Read 2 more answers
If it takes 10 seconds for 10 printers to print out 10 pages of paper, how many seconds will it take 50 printers to print out 50
Fed [463]

Lets use the formula RWT=J to solve this, where,

  • R is the rate
  • W is the number of workers/things
  • T is time
  • J is number of jobs/things

<em><u>"If it takes 10 seconds for 10 printers to print out 10 pages of paper"</u></em> - here -

W is 10 printers, T is 10 seconds,  and J is 10 pages. We can write:

R(10)(10)=10\\R(100)=10\\R=\frac{10}{100}\\R=0.1


<u><em>"how many seconds will it take 50 printers to print out 50 pages of paper"</em></u><em> - here we use R=0.1 (previously found) to figure out T.</em>

<em>RWT=J\\(0.1)(50)T=50\\5T=50\\T=\frac{50}{5}\\T=10</em>

So it will take 10 seconds for 50 printers to print 50 pages.


ANSWER: 10 seconds

4 0
2 years ago
Read 2 more answers
A study of 31,000 hospital admissions in New York State found that 4% of the admissions led to treatment-caused injuries. One-se
vovikov84 [41]

Answer:

Step-by-step explanation:

a) probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence

P(injury) = 4%

P(negligence) = 1/4 = 0.25

We need to find probability (injury)(negligence)

P(injury) * P(negligence) = 0.04*0.25 = 0.01

b) probability a person admitted to the hospital will die from a treatment-caused injury

P(injury) = 4%

P(death) = 1/7

P(Injury) *P(death) = 0.04/7 = 0.00571

c) In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid

P(claim) = 1/7.5

P(payment) = 1/2

P(claim)*P(payment) = 1/7.5 * 1/2 = 0.06

7 0
2 years ago
Factorise 15x+25<br><br>thank you for any help​
scoray [572]

Answer: 5(3x+5)

Step-by-step explanation:

To factor this expression we need to pull out the greatest common factor of the 2 numbers, 15 and 25. This factor is 5.

Now divide both numbers by 5 and put a 5 on the outside of the new expression to look like: 5(3x+5) and this is as far as it can be factored.

4 0
2 years ago
Read 2 more answers
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