Simplify.<br> 2a4b5c(4a4bc3)

What is the value of x in the equation 7x + 2y = 48 , when y = 3?

Sindrei [870]

7x+2y=48
7x+2(3)=48
7x+6=48
Subtract 6 on both sides.
7x=42
divide 7 on both sides
x=6

3 0

3 years ago

Read 2 more answers

Need help filling in the blanks.. markups, markdowns, and sale price.

pashok25 [27]

Answer:

1) markup = $105 , selling price = $150 , %mark up based on cost = 233.33% , mark down = $30 , sale price = $120

2) mark up = $75.08 , selling price = $110.83 , %mark up based on selling price = 67.74% , mark down = $27.71 , sale price = $83.12

3) Cost = $19.87 , markup = $59.62 , %markup based on selling price = 75% , mark down = $19.87 , sale price = $59.62

4) Cost = $9.72 , mark up = $3.24 , %mark up based on cost = 33.33% , %mark down = 10.03% , sale price = $11.66

5) Cost = $17.9 , selling price = $53.7 , %markup based on selling price = 66.67% , Mark down = 10.74 , %markdown = 20% ,

Step-by-step explanation:

1) ∵ cost/complement of %mark up based on selling price = selling price

∴ Selling price = 45/(1 - 0.7) = $150

∵ Mark up = selling price - cost price

∴ Mark up = 150 - 45 = $105

∵ %mark up based on cost price = mark up /cost

∴ %mark up based on cost price = 105/45 = 233.33%

∵ Mark down = selling price × %mark down

∴ Mark down = 150 × 0.2 = $30

∵ Sale price = selling price - mark down

∴ Sale price = 150 - 30 = $120

2) ∵ Mark up = Cost × %mark up based on the cost

∴ Mark up = 35.75 × 2.1 = $75.08

∵ Selling price = cost + markup

∴ Selling price = 35.75 + 75.08 = $110.83

∵ %markup based on selling price = mark up/selling price

∴ %markup based on selling price = 75.08/110.83 = %67.74

∵ Mark down = selling price × %mark down

∴ Mark down = 110.83 × 0.25 = $27.71

∵ Sale price = selling price - mark down

∴ sale price = 110.83 - 27.71 = $83.12

3) ∵ Mark down = selling price × %mark down

∴ Mark down = 79.49 × 0.25 = $19.87

∵ Sale price = selling price - mark down

∴ Sale price = 79.49 - 19.87 = $59.62

∵ Mark up/cost = %mark up based on cost

∴ Mark up/cost = 3

∴ Mark up = 3 cost ⇒ (1)

∵ Mark up + cost = selling price

∴ Mark up + cost = 79.49 ⇒ (2)

∵ Sub (1) in (2)

∴ 3cost + cost = 79.49 ⇒ 4cost = 79.49 ⇒ cost = 79.49/4

∴ Cost = $19.87

∴ Mark up = 3 × 19.87 = $59.62

∵ %mark up = mark up/selling price

∴ % mark up = 59.62/79.49 = 75%

4) ∵ Mark up = selling price × % mark up based on selling price

∴ Mark up = 12.96 × 0.25 = $3.24

∵ Cost = complement of %mark up based on selling price × selling price

∵ Cost = (1 - 0.25) × 12.96 = $9.72

∵ %mark up based on cost = mark up/cost

∴ %mark up based on cost = 3.24/9.72 = 33.33%

∵ %Mark down = mark down/ selling price

∴ %Mark down = 1.30/12.96 = 10.03%

∵ Sale price = selling price - mark down

∴ Sale price = 12.96 - 1.30 = $11.66

5) ∵ Cost = mark up/%mark up based on cost

∴ Cost = 35.8/2 = $17.9

∵ Selling price = cost + mark up

∴ Selling price = 17.9 + 35.8 = $53.7

∵ Complementary of %mark up on selling price = cost/selling price

∴ Complementary of %mark up on selling price = (17.9/53.7) × 100 = 33.33%

∴ %mark up on selling price = 100 - 33.33 = 66.67%

∵ Mark down = selling price - sale price

∴ Mark down = 53.7 - 42.96 = $10.74

∵ % mark down = mark down/selling price

∴ % Mark down = 10.74/53.7 = 20%

6 0

3 years ago

What is the value of the 9s in 709,946,107

neonofarm [45]

the 9 is in the Millions place

6 0

3 years ago

Read 2 more answers

When rounded to the thousands place, which of the numbers below round to 89,000? Select all that apply. A) 89,458 B) 88,450 C) 9

slega [8]

Answer:

A) 89,458 and

E) 88,615

When rounded to the thousands place, the numbers above will round to 89,000

Step-by-step explanation:

A) 89,458

When rounded to the thousands place, the number above will round to 89,000 because 458 is less than 500 .

In rounding we check the number next to the number which is to be rounded.

If that number is less than 5 it is dropped off and if it is greater and equal to 5 it is added to the next number.

In this number we check the hundreds place to round to the thousands number.

B) 88,450

When rounded to the thousands place, the number above will round to 88,000 because 450 is less than 500 .

C) 90,054

When rounded to the thousands place, the number above will round to 90,000 because 0 is less than 5 at the hundreds place .

D) 89,905

When rounded to the thousands place, the number above will round to 90,000 because 905 is greater than 500 .

E) 88,615

When rounded to the thousands place, the number above will round to 89,000 because 615 is greater than 500 .

3 0

3 years ago

A magazine provided results from a poll of 2000 adults who were asked to identify their favorite pie. Among the 2000 respondent

nadya68 [22]

Answer:

$\r p = 0.11$

$\r q = 0.89$

n = 2000

$E = \pm 5$

p - population proportion

$\alpha = 5$ %

Step-by-step explanation:

From the question we are told that

The sample size is $n = 2000$

The proportion of the population for chocolate pie is $p_c = 0.11$

The margin of error is $E = \pm 5$ %

Now in the question we are asked to provide the meaning of

$\r p , \r q , n , E , and\ p$

Now $\r p$ is the sample proportion of the population that those chocolate pie as favorite pie of which is given from the question as 0.11

Now

$\r q$ is the sample proportion of the population that choose other pies apart from chocolate pie as their favorite and it is evaluated as

$\r q = 1 - \r p$

$\r q = 1 - 0.11$

$\r q = 0.89$

n is the sample size which is given as n = 2000

E is the margin of error which given as $E = \pm 5$ %

p is the population proportion

Given that the confidence level is 95 % then the level of significance is mathematically evaluated as

$\alpha =(100 - 95)$ %

$\alpha =$ 5%

4 0

4 years ago

Simplify. 2a4b5c(4a4bc3)