Select the correct answer.
Which expression is equivalent to 18x2/14r8 = 6/7x4, if x # 0?
A. 12r42
B. 314/2
C. 3x4√7
D. 3 rv2

Answer:

Answer in explanation

Step-by-step explanation:

Linear Modeling

It's given a situation where a student has two summer jobs and wants to collect $750 to pay for a down payment on a car. He gets paid $25 for each lawn mowed and $15 for each pool cleaned

Let

x = number of lawns mowed

y = number of pools cleaned

He wants to make $750, thus:

25x + 15 y = 750

Dividing by 5, we have the model that represents the linear relationship:

5x  + 3y = 150

The x-intercept can be found by setting y=0:

5x  + 3(0) = 150

5x = 150

Dividing by 5:

x = 150/5 = 30

x = 30

This represents the situation where the student gets his $750 by only mowing 30 lawns, no pools cleaned.

The y-intercept can be found by setting x =0:

5(0)  + 3y = 150

3y = 150

y = 150/3 = 50

y = 50

This represents the situation where the student gets his $750 by only cleaning 50 pools, no lawns mowed.

Starting from the basic equation

5x  + 3y = 150

We can give x some arbitrary value (less than 30) and find the value for y.

For example, for x=12

5*12 + 3y = 150

60 + 3y = 150

3y = 150 - 60 = 90

y = 90/3=30

This solution corresponds to the case where the student gets $750 by mowing 12 lawns and cleaning 30 pools.

For example, for x=21

5*21 + 3y = 150

105 + 3y = 150

3y = 150 - 105 = 45

y = 45/3=15

This solution corresponds to the case where the student gets $750 by mowing 21 lawns and cleaning 15 pools.

Answer: 128

Step-by-step explanation:

Answer:

113 (d)

Step-by-step explanation:

Since the room is square-shaped, you square root the area (12,769) to find the length of each wall. You will get the answer 113. To check this answer multiply 113 by 113 and make sure you get the correct area; it works, so you know the answer  is D.

Answer:

f(x) = 26

Step-by-step explanation:

Evaluate the Function

f (x) = −4x + 6  f (−3) + 8

Replace the variable x with −3 in the expression.

f (−3) = −4 ⋅ −3 + 6

Simplify (−4 ⋅ −3 + 6) + 8

Multiply −4 by −3.

12 + 6 + 8

Add 12 and 6.

18 + 8

Add 18 and 8.

26

hope this helps :)

Answer:

B and D

Step-by-step explanation:

9x10=90

10x9=90

Answer:

its blurry add my sn$p kevinscoolrevi7 and I got u

Answer:

Step-by-step explanation:

480 because you multipy 4 times 8 and than you mulpyy 48 times 10 and that is how i got the number 480.

Answer:

480 because you multiply 4 times 8 and then you multiply 48 times 10 and that is how I got the number 480.

Answer:

The  width is  [tex]W = 1.2786[/tex]

Step-by-step explanation:

From the question we are told that

    The  sample size is  n = 16    

      The mean time is  [tex]\= x = 2.8 \ minute[/tex]    

     The standard deviation is  [tex]s = 1.2 \ minutes[/tex]

Generally the degree of freedom is mathematically represented as  

         [tex]df = n - 1[/tex]

=>      [tex]df = 16 - 1[/tex]

=>     [tex]df = 15[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the t distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of  df = 15 is  

   [tex]t_{\frac{\alpha }{2} , 15 } =  2.131[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = t_{\frac{\alpha }{2}, 15 } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]E = 2.131  *  \frac{ 1.2 }{\sqrt{16} }[/tex]

=>    [tex]E = 0.6393 [/tex]

Generally the width the confidence 95% confidence interval  

       [tex]W = 2 * E[/tex]

=>    [tex]W = 2 * 0.6393[/tex]

=>    [tex]W = 1.2786[/tex]

Answer:

00000

Step-by-step explanation:

poop

Answer:

I only got B

Step-by-step explanation:

Put the x-values into the equation and solve for each.

Answer: 2 times 6 is 12 4 times 3 is 12 so its 6

Answer:

l would think 6

Step-by-step explanation:

Because 12%2 is 6

Answer:

The four angles add up to 180° is not a property of parallelogram

Answer:

1= 6

2= 1

3= 2

4= -0.6

5= 0>2

Step-by-step explanation:

i think i am correct. the value is 0 so don't be confuse in last one

Answer:

$22.95

Step-by-step explanation:

Answer:

9/4 inches

Step-by-step explanation:

42 is 3x more than 14. therefore, what is 3x more than 3/4 is 9/4

Answer:

9/4

Step-by-step explanation:

14 times 3 = 42

3/4 times 3 = 2.25

2.25 in fraction form is 9/4

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

Answer: 36+4h=60

36+4h-36=60-36

4h=24

4h÷4=24÷4

h=6

So, after the move they can spend 6 hours there. (6×4=24, 24+36=60, they will spend $60 if they spend 6 hours there, $56 if they spend 5 hours there and don't want to spend $60).

Step-by-step explanation:

Answer:

$30.76

Step-by-step explanation:

Add up all data values to get the sum

Count the number of values in your data set

Divide the sum by the count

Answer:

It is 4.472135955, which simplifies to 4.47

Step-by-step explanation:

Step-by-step explanation: The square root of 20 is not a perfect square.

In other words, it's impossible to find a whole number

times itself that gives us a product of 20.

However, we can simplify it.

20 breaks down into 2 x 10 and 10 breaks down into 2 x 5.

Since the 2's pair up as factors of 20, a 2 comes out of the radical.

Since the 5 doesn't pair up, it stays inside.

So our answer is 2√5.

Answer:

(15, -6)

Step-by-step explanation:

x + y = 9

x - y = 21

x = 9 - y

plug in x into second equation

9 - y - y = 21

9 - 2y = 21

-2y = 12

y = -6

plug in y.

x - (-6) = 21

x + 6 = 21

x = 15

check

15 + (-6) = 9

15 - (-6) = 21

Answer:

The option is  b

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  2500

   The number with a graduate degree is  k =  555

    The sample  proportion is [tex]\^ p = 0.222[/tex]

Generally the standard error is mathematically represented as

           [tex]SE = \sqrt{\frac{\^ p (1- \^ p )}{n} }[/tex]

=>        [tex]SE = \sqrt{\frac{0.222 (1- 0.22 )}{2500 } }[/tex]

=>        [tex]SE = 0.010[/tex]

Converting to percentage

           [tex]SE = 0.010 * 100[/tex]

=>       [tex]SE =10\%[/tex]

Answer:

C should be your answer if I'm not right then forgive me please.

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

Hi i'm here to help the answer is 78 please mark me brainliest

Answer:-3/9

Step-by-step explanation:

When you adding or subtracting fractions they need to have the same denominator... which in the question they do! :) after you get your denominator the same you add the second numerator from the first one, in this one it’s 3 + (-6). Oh no a negative! But don’t worry when you add a negative it’s just like subtracting a regular number, so you really are just doing 3-6 which is -3 then you just put that over the denominator you had before, and you get -3/9

Answer:

30

Step-by-step explanation:

If the magazines and books together add up to a total of 60 books, then he bought 30 magazines and 30 books.

Answer: (3)

Step-by-step explanation:

In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.

Step 1: Draw a rectangle where the width is x and the length is x + 5.

Step 2: Find the sum of the lengths and the sum of the widths

2 times the length plus 2 times the width equals the perimeter

2(x + 5) + 2(x) = 54

Step 3: Solve for the width

2(x + 5) + 2(x) = 54

2x + 10 + 2x = 54 (Distributive Property)

4x + 10 = 54 (Group Like Terms)

4x = 44 (Subtraction Property of Equality)

4x/4 = 44/4

x = 11 (Division Property of Equality)

x = width = 11

Step 4: Solve for the length

x + 5 = length

11 + 5 = 16

Length = 16. So (3) must be the answer.