Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)

Answer:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Choice 1 = X = Final Amount after 12 years = $5600

Choice 2 = Y = Final Amount after 12 years = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Step-by-step explanation:

First of all, this question is not complete. So, we will be hypothetically create two accounts and try to choose the one with the greater profit.

Initial Deposit Amount = $3500

Time period = 12 years

Let's Suppose Lorena has two X and Y choices of accounts at H-town Bank.

X = simple interest of 5% over the initial amount for 12 years.

Y = Compound interest 5% over the initial amount for 12 years.

Solution:

Let's calculate the profit for choice 1 = X

Simple interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P (1 + rt)

where, A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

Plug in the values to get the total amount.

A = 3500(1+0.05x12)

A = $5600 = final amount Lorena will get after 12 years.

Let's calculate the profit for choice 2 = Y

Compound interest = 5%

Initial amount = $3500

Time period = 12 years

Formula = A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

where,

A = Final amount after 12 years

t = time period in years  = 12

P = initial amount to be deposited = $3500

r = annual interest rate = 5%

n = number of times interest rate is applied or compounded. = 12

Plug in the values to get the total amount.

A = P [tex](\frac{r}{n} + 1)^{nt}[/tex]

A = $6285.50

Hence, Lorena should choose choice 2, as it gives more profit over than choice 1.

Answer:

6 * (x - 1.50) = 52.50 ; 10.25

Step-by-step explanation:

Given that :

Number of tickets purchased = 6

Coupon off per ticket = 1.50

Total Amount paid for tickets = $52.50

Let x = initial price of ticket :

Number of tickets purchased * (Initial ticket price - coupon) = total amount paid

6 * (x - 1.50) = 52.50

6x - 9 = 52.50

6x = 52.50 + 9

6x = 61.50

x = 61.50 / 6

x = 10.25

Hence, initial price of ticket = $10.25

Answer:

24|5

25|0;1;3;8

26|4;7;9

27|3;6

Step-by-step explanation:

key in the bottom right:

24|5means 245

Answer: 11 hours 30 minutes

Step-by-step explanation:

Total flight distance:

= 8,300 + 5,500

= 13,800 km

Flight time = Distance / Speed

= 13,800 / 1,200

= 11.5 hours

= 11 hours 30 minutes

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

Answer:

3/30

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

you divide by 3/5 by 6

Answer:

13.7

Step-by-step explanation:

Pythagorean theorem converse

Answer:

The value of x is 13.7.

Step-by-step explanation:

☆We are going to use the Pythagorean theorem to solve this.

☆Pythagorean Theorem:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

☆Remmeber: a = leg, b = leg, c = hypotenuse or the diagonal.

☆Let's plug in according to the pythagorean theorem and solve!

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {x}^{2} + {9.2}^{2} = {16.5}^{2} \\ {x}^{2} + 84.64 = 272.25 \\ \frac{ \: \: \: \: \: \: \: \: - 84.64 = - 84.64}{ {x}^{2} = \sqrt{187.61} } \\ x = 13.7[/tex]

Answer:

Each side is 12 feet.

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

The answer is x = 11/36

lt is 100% right

Well first, you have to know that there are 12 inches in a foot so, that's 12 / 3 = 4, so that means that for every foot, there are 4 books. The books are 5 feet tall so 4 x 5 = 20. Your answer is: 20 books are in a stack.

Answer:

Step-by-step explanation: I would do 5x12 because there are 12 inches in one foot so 5x12 is 60 so there is 60 inches

Answer:

Step-by-step explanation:

2n-1=18n

18n-2n=16m

-1/16=16n

Answer:

yea bro

Step-by-step explanation:

i play

Answer:

$96

Step-by-step explanation:

Given that,

The total number of tickets = 4

Cost of each baseball = $24

We need to find the equation that shows the closest estimate of the total amount Amanda spends.

Total cost = No. of tickets × Cost of each baseball

= 4×24

= $96

Hence, the total cost is $96.

Answer:

0

Step-by-step explanation:

If c=0

that expression also equals 0

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.

Answer:

5

Step-by-step explanation:

9+6=15

15/3=5

Step-by-step explanation:

[tex] \frac{a + b}{c} = \frac{9 + 6}{3} = \frac{15}{3} = 5 \: ans[/tex]

Answer:

10000

Step-by-step explanation:

50 times 200

5 times 2 is 10

add three zeros: 10000

Answer:

8.5

Step-by-step explanation:

since it is the same as ABC, 2x-1=16

add the 1 to both sides which gives you 2x=17

then divide each side by 2 which gives you x=8.5

now go submit!

Answer:2/21

Step-by-step explanation:

2 x 1      2

——-   =. -

7 x 3.    21

Step-by-step explanation:

When 2 variables are inversely proportional to each other, their product is a constant.

Since Q and V³ are inversely proportional to one another, QV³ = k. (B)

Answer:

Step-by-step explanation:

let x be the unknown volume

5/7=50/x

x=70

Answer:

137.2 m³

Step-by-step explanation:

Given the ratio of sides a : b , then

ratio of volumes = a³ : b³

Here ratio of sides = 5 : 7 , then

ratio of volumes = 5³ : 7³ = 125 : 343

let x be the volume of the larger prism then by proportion

[tex]\frac{50}{125}[/tex] = [tex]\frac{x}{343}[/tex] ( cross- multiply )

125x = 17150 ( divide both sides by 125 )

x = 137.2

That is volume of larger prism is 137.2 m³

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

Answer:

Step-by-step explanation:

1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]

= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]

= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]

= [tex]\frac{83}{36}n[/tex]

= [tex]2\frac{11}{36}n[/tex]

2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]

= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]

= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]

= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]

= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]

= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]

3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]

= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]

= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]

= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]

= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]

= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :