5(2i+4) - i = 38
distributive property

Answer: 64

Step-by-step explanation:

2 x 2 x 2 x 2 x 2 x 2 =64

Answer:

64

Step-by-step explanation:

2^6=2*2*2*2*2*2=4*4*4=16*4=64

Answer:

w=18

Step-by-step explanation:

Answer:

W=18

Step-by-step explanation:

-6+2w=30

2w=30+6

2w=36

Answer:

4.4.

Step-by-step explanation:

I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.

Answer:

Imagine you have half of a cookie. You break it into three pieces to share with friends. You keep one piece, so you have 1/6 of the entire cookie. You can use multiplication to check your work. 1/6x3 =3/6 of 1/2  :D

Step-by-step explanation:

Answer:

Percentage change = 26.61 %

Step-by-step explanation:

Given

To determin

Percentage change = ?

Using the formula

Percentage change = (Final value - Initial value) / | Initial Vaue |  × 100%

                                  = (100​ - 78.98) / 78.98  × 100%

                                  = [21.02/78.98] × 100%

                                  = 0.266143 × 100%

                                  = 26.6143 %

Rounding off to 2 decimal places

                                   = 26.61 %

Therefore,    

Percentage change = 26.61 %

Answer:

g=64.8 meters

Step-by-step explanation:

[tex]\frac{26.1}{24.3}[/tex] = [tex]\frac{69.6}{g}[/tex]

69.6×24.3= 26.1×g

1,691.28=26.1g

64.8=g

g=64.8

Hope this helps! :)

Oh, I got the order of the ratios wrong, I'm sorry.

I just corrected it.

Answer:

64.8

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

8*0+4=4

Answer:

18 tiles

Step-by-step explanation:

24 x 6 = 144

144/8 = 18

glad i could help

hope you have a good day

Answer:18

Step-by-step explanation:24 x 6 = 144

144/8 = 18

Answer:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Step-by-step explanation:

Part a:

The null and alternate hypothesis can be formulated as

H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .

against the claim

Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Part b:

The point estimate of the difference between the means for the two populations is the difference of sample means

x1`- x2`

525- 487= 38

Student’s Parents

College Grads

x                                            x²

485      487               235,225         237,169

534      533                  285,156        284,089

650     526                 422,500         267,676

554       410                   306,916          168,100

550      515                   302,500        265,225

572      578                      327,184        334,084

497      448                     247,009        200,704

592     469                  350,464         219,961          

∑xi = 8400                      ∑xi ²= 4,462,962          

x1`= ∑ xi/n1= 8400/16= 525

Using statistic calculator Using formula :  σ(n-1)

s1= 59.4205

High School Grads

x                                          x²

442          492                   195,364            242,064

580          478                    336,400            228,484

479           425                      229,441             180,625

486            485                     236,196            235,225

528            390                     278,784           152,100

524             535                     274,576           286,225        

∑xi = 5844                                 ∑xi ²= 2,875,484                

x2`= ∑ xi/n2= 5844/12= 487

Using statistic calculator Using formula :  σ(n-1)

s2= 51.7476

x1`- x2`= 525- 487= 38

The test statistic is

t= (x1`- x2`) / √ s1²/n1+ s2²/n2

t= 38/ √(59.4205)²/16 + (51.7476)²/12

t=38 / √3530.7958/16 + 2677.8141/12

t= 1.804

and the degrees of freedom is

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11

≈ 25

The degrees of freedom is always rounded in this calculation

From the table t∝ = 1.708

Hence critical value is t ≥ t∝

Reject H0:

Part C.

The p-value is 0.041647.

The result is less than  0.05.

Result:

H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.

Answer:

subtract 2a + 3b - 3b =5 - 3b

simply 2a = 5 -3b

divide both sides by 2 . 2a over 2 = 5 over 2 - 3b over 2

simply a= 5- 3b over 2

Step-by-step explanation:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Answer:

1) first eliminate constant(number without variable) you eliminate constant by doing the inverse operation(if constant is being added, then subtract)(if constant is being subtracted, then add it)

ex: if   x+9=32

subtract 9 from both sides to get rid of it

x=23

2) if there is another constant but this constant is being multiplied/divided then do the opposite operation to remove it

you could multiply by 3 on both sides:

x+9=69

x=60

Hope this helps!

Step-by-step explanation:

Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.

Step-by-step explanation:

there ya go this was hard

Answer:

(6-2) (3/4-3/20)

4 ((3×20-3×4)/80)

4 48/80

4 3/5

Answer:

x = √6/2

Step-by-step explanation:

Side a = 1.73205 --> √3

Side b = 1.22474 --> √6/2

Side c = 1.22474 --> √6/2

Answer:

There's supposed to be a picture to answer from because we don't know where are JL included in the square.

Answer:

612 dollars

Step-by-step explanation:

From the given information:

Amount of the total mixture = 6000 pounds

Also, for each batch, there needs to be at least 25% bluegrass seed.

It implies that:

In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.

The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.

Suppose the amount of rye seeds = x pounds

while that of Bermuda is (4500 - x) pounds

Then, since the amount of Bermuda contains no more than 2/3 of that of rye.

The equation can be written as:

[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]

13500 - 3x = 2x

13500 = 5x

[tex]x = \dfrac{13500}{5}[/tex]

x = 2700

Now, the amount of rye seed = 2700 pounds

while that of Bermuda seed = 4500 - 2700 = 1800 pounds

However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.

So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents

For rye seed; cost of 1 pound = 14 cents

the cost of 2700 rye seeds = 14 × 2700 = 37800 cents

For Bermuda seed; cost of 1 pound = 3 cents

the cost of 1800 rye seeds = 3 × 1800 = 5400 cents

The total amount = (18000 + 37800 + 5400) = 61200 cents

Recall that:

100 cents = 1 dollars

61200 cents = x dollars

x = 61200 cents/100 cents

x = 612 dollars

Thus, the minimum cost is 612 dollars.

Answer:

LCM (24,84) = 168

Step-by-step explanation:

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

Multiples of 24:

24, 48, 72, 96, 120, 144, 168, 192, 216

Multiples of 84:

84, 168, 252, 336

Therefore,

LCM(24, 84) = 168

Answer:

1.6

Step-by-step explanation:

7 and three tenths = 7 + 3/10 = 7.3

5 and seven tenths = 5 + 7/10 = 5.7

7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.

Answer:

The Answer is A

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

In the first equation, sub in (-3x/2) for y:

3x+4y=12

3x+4(-3x/2)=12

3x-(12x/2)=12

3x-6x=12

-3x=12

x=-4

y=-3x/2

y=-3(-4)/2

y=12/2

y=6

Since x=-4 and y=6, (-4,6) is a solution.

Step-by-step explanation:

Given

-30 = - 0.4 k

30 = 0.4k

k = 30 / 0.4

k = 75

hope it helps :)

Answer:

Simplifying

-38 = -0.4k

Solving

-38 = -0.4k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '0.4k' to each side of the equation.

-38 + 0.4k = -0.4k + 0.4k

Combine like terms: -0.4k + 0.4k = 0.0

-38 + 0.4k = 0.0

Add '38' to each side of the equation.

-38 + 38 + 0.4k = 0.0 + 38

Combine like terms: -38 + 38 = 0

0 + 0.4k = 0.0 + 38

0.4k = 0.0 + 38

Combine like terms: 0.0 + 38 = 38

0.4k = 38

Divide each side by '0.4'.

k = 95

Simplifying

k = 95

Answer:

the answer is 5x + 2. I hoped that worked

Answer:

Step-by-step explanation:

This may be confusing but bear with me

20=(x+17+22+18+21)/5 is our equation because

20 is our mean and we are adding all of our values and diving by how many values we have. we have 5 values

we multiply 5 by 20 to cancel the dividing 5 on the right so

100=x+17+22+18+21

To make this simpler we can add all of the values (except x) so

100=x+78

lets subtract 78 from 100

22=x or x=22

I hope this helped

Answer:

x=2/5, y=-3. (2/5, -3).

Step-by-step explanation:

10x+3y=-5

-5x-4y=10

----------------

10x+3y=-5

2(-5x-4y)=2(10)

-------------------------

10x+3y=-5

-10x-8y=20

-------------------

-5y=15

y=15/-5

y=-3

10x+3(-3)=-5

10x-9=-5

10x=-5+9

10x=4

x=4/10=2/5

Answer:

12 miles per gallon

Step-by-step explanation:

I hope this helps

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

add the numbers to get the total then divide the total by the amount of columns/numbers.

12 + 12 + 18 + 6 = 48

48 / 4 = 12

Answer:

12 + 12 + 18 + 6 = 48

48/4 = 12