A truck's position relative to a Carr's position is 60 feet. The car and the truck move in the same direction, but the car moves 5 feet per second faster for 8 seconds. What operation could be used to find the truck's relative position after 8 seconds?

The formula that correctly solves for C is D. C = 5/9 (F - 32)

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

The given formula is,

F = 9/5C + 32

where Celsius is C, and degrees Fahrenheit is F

To solve for C let us isolate C to the one side and other terms to the other,

9/5 C = F - 32

Multiplying both side by 5/9 we get,

9/5 C *5/9 = 5/9* (F - 32)

or, C = 5/9 (F - 32)

which is the formula for C.

Thus, the formula that correctly solves for C is D. C = 5/9 (F - 32)

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1.111 liters of water must be added to 5 kilograms of soil.

According to the statement, water percentage is equal to the ratio of water mass divided by the total mass of water and dust and multiplied by 100. Then, the initial and final percentages are defined below:

Initial percentage

y / 5 = 0.12                              (1)

Final percentage

(y + x) / (5 + x) = 0.28             (2)

Then, we need to resolve the resulting system of linear equations:

y = 0.6                  (1)

y + x = 1.4 + 0.28 · x

0.72 · x = 1.4 - y

x = 1.944 - 1.389 · y

x = 1.111

We need to add 1.111 kilograms of water. If the density of a kilogram per liter, the volume required in liters is:

V = (1.111 kg) / (1 kg / L)

V = 1.111 L

1.111 liters of water must be added to 5 kilograms of soil.

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Answer:  Domain:(−∞,∞),{x|x∈R} Range:{y|y=24}

Answer:

y=

24

x

Step-by-step explanation:

y

=

24

x

if im not mistaken

Answer:

64

Step-by-step explanation:

Formula is V = x³

For x = 4 feet
V =4³ = 4 x 4 x 4 = 64 cubic feet

Answer:

ok..I think it Is C or B! not 100% sure tho..

Answer: No

Step-by-step explanation:

Answer: no

Step-by-step explanation: because it says 1 mile for every 6 minutes not it takes Akiko 1 mile in 6 minutes to get to school

Answer:

A. 17.5

B. yes

Step-by-step explanation:

7/10=.7 page a minute

25*.7=17.5 pages in 25 minutes

B

she reads .7 pages a minute

2>.7

Answer:

Part A- 17.5 pages. Part B- Yes as he reads 20 pages as you want to have a the same amount as minutes so 1x10 is 10 and you want to do the same with 2 so 2x

10 is 20.

Step-by-step explanation:

Part A- 10 min-7 pages

5min-3.5 pages

7x2=14+3.5=17.5

With Combination, There are the 98280 ways by which we place books on the shelf.

According to the statement

We have to find that the number of ways can by which place books on the shelf.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

From the given information:

The library has 28 science fiction books. Each shelf holds 5 books

Then

apply the combination,

Then

C(n,r) = C(28,5)

after solving it become

C(28,5) = 28! /(5!(28-5)!)

And

C(28,5) = 28! /(5!(23)!)

Then after rearranging the terms and solving the value becomes

C(28,5) = 98280.

So, With Combination, There are the 98280 ways by which we place books on the shelf.

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The solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below

From the question, we are to determine the solution of the given inequality

The given inequality is

3(x – 2) – (1 – x)  > 2x – 7

Solving the inequality

3(x – 2) – (1 – x)  > 2x – 7

First, clear the parentheses by applying the distributive property

3x - 6 - 1 + x > 2x - 7

4x -7 > 2x - 7

Then,

4x - 2x > -7 + 7

2x > 0

x > 0/2

x > 0

Hence, the solution to the given inequality is x > 0. The graph of the solution to the inequality is shown below

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Answer: m=20

Step-by-step explanation:

Isolate m by multiplying 5 on both sides. m= 4*5 => m=20

The unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied  fractions instead of dividing.

Given the rate  1/3 / 1/6 pound per gallon, this can be written in the unit rate by dividing 1/3  by 1/6 pound per gallon.

So, 1/3 divided by 1/6 can be written as  [tex]\frac{1/3}{1/6}[/tex]

which further can be simplified as [tex]\frac{1}{3}[/tex] × [tex]\frac{6}{1}[/tex]

and the answer comes out to be 2

Hence, the unit rate is 2 pounds per gallon.

Henry's likely error could have been that he multiplied instead of dividing. That is, he multiplied 1/3 by 1/6, Such that he gets

Hence, the 1/27 pound per gallon he got.

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The equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

Given,

Number of letters Natasha puts in envelopes = 42 letters in 1 hour

Total number of letters Natasha puts in envelopes in x hours = y

We have to find the equation which best represents y:

Here,

Natasha puts 42 letters in 1hour

So, in x hour Natasha can put 42 × X letters.

That is,

y = 42 × x

y = 42x

Therefore, the equation which best represents the total number of letters Natasha puts in envelopes in x hours is y = 42x.

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Step-by-step explanation:

9x°+(8x+3)=180°

17x°+3=180°

17x°=180°-3°

17x°=177°

x=177/17

x=10.41

Answer:625 ft

Step-by-step explanation:

The value of bonds assuming the bonds are classified as: (If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

We are required to Prepare the appropriate journal entry on December 31, 2018, to properly value the bonds assuming the bonds are classified as

1. Trading securities.

2. Securities available for sale.

3. Held-to-maturity securities

For Dec 31,2021: For valuation of the bonds are classified as Trading securities (975,000-920,000) is Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: For valuation of the bonds are classified as Securities available for sale (975,000-920,000) is  Dr.$ [tex]$55,000[/tex] and Cr. $ [tex]55,000[/tex]

For Dec 31,2021: No journal entry required as this is held to maturity.

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Answer:

10520000 approximately I think

The function g(x) that represents the required transformations of f(x) = x³ are;

A reflection across the x–axis;

A vertical stretch by a factor of 4;

A reflection across the y–axis;

A horizontal compression by a factor of 1/5;

The function g(x) that represents the reflection of f(x) across the x–axis is presented as follows;

g(x) = -f(x)

Therefore, we have;

f(x) = x³

Which gives;

The function, g(x) that represents a vertical stretch of a function f(x) by a factor of c, is presented as follows;

g(x) = c•f(x)

Where c = 4, we have;

g(x) = 4•f(x)

Therefore;

The function g(x) that represents a reflection across the y–axis is presented as follows;

g(x) = f(-x)

Therefore;

The function, g(x), that represents the horizontal compression of f(x) by a factor of c is presented as follows;

g(x) = f((1/c)•x)

Which gives;

g(x) = ((1/5)•x)³ = (x/5)³

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The researchers came up with this number by making a model with specific coins to determine the difficulty, in terms of the probability of getting this coin.

The researchers Shiyoung Lu and Steven Skiena wanted to know how probable it was to collect a complete set of pennies since 1959 until 1997. By the end of this study, they decided at least 684 coins must be collected to complete this mission.

Firstly, they analyze the probability for getting one coin. From this, it was concluded the probabillity was lower for old coins. After this, they used the data collected from all the coins and created an equation. This equation or model led them to conclude the answer was 684 coins.

Note: This question is incomplete because the text it refers to is missing; here is the name of the text:

"The Probabilities of Pennies"

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The interest earned on even a $30,000 deposit compounded monthly at 1% is $15150.75.

Compound interest is applied when the principal amount changes after the specified time period.

For example, if you give someone $500 at a 10% yearly interest rate, $500 is your principal amount. After one year, the interest will be $50, and the principle amount will indeed be $550; therefore, the interest for the following year will be $550, not $500.

P = P₀e^rt where r represents the annual interest rate as well as t represents the time period in years.

So,

P₀ = 30000

r = 1% = 0.01

t = 6 months = 0.5 year

So,

P = 30000e^0.01(0.5)

P = 30000 × 1.5050250835

P = $45150.752505

So, interest

I =45150.752505- 30000 = $15150.75

The interest earned on even a $30,000 deposit over six months at 1% compounded daily is $15150.75

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The actual area of her office is 50 ft squared.

The blueprint for Zahra's new office measures 4 cm long and 2 cm wide.

The scale for the blueprint is 6 cm to 15 ft.

let's convert the units using the scale

6 cm = 15 ft

4cm = ?

cross multiply

length = 4 × 15 / 6

length = 60 / 6 = 10 ft

6 cm = 15 ft

2 cm = ?

cross multiply

width = 2 × 15 / 6

width = 30 / 6 = 5 ft

Therefore,

area of the actual office = 10 × 5

area of the actual office = 50 ft²

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The population of the Bownville city reach 1,548,800 at nearly 2015

Given, Since January 2000,

The population of the city of Brownville has grown according to the mathematical model.

Y= 720,500(1.022) x

Where, X= number of years

To find:  If this continues, predict the year during which population of Brownville will reach 1,548,800

Starting population = 720,500

Growth rate = 1.022

(720500) (1.022) x = 1,548,800

1.022x = 2.1496

Taking log on both sides

log1.022x = log2.1496

x log 1.022 = log 2.1496

x=log 1.022×2.1496

x=15

Therefore, nearly it takes 15 years to reach the population 1,548,800

Hence the population of the Bownville city reach 1,548,800 at nearly 2015.

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The solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

The given parameters are

I = PRT

Where

I = 2160, P =24000 and R = 0.03

Substitute I = 2160, P =24000 and R = 0.03 in the above equation I = PRT

2160 = 24000 * 0.03 * T

Evaluate the product

So, we have

2160 = 720 * T

Divide both sides by 720

T = 3

Hence, the solution for the unknown variable in I = PRT where I = 2160, P =24000 and R = 0.03 is 3

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Carl will have $4514 in his account for 10 years

Carl place $3700 in a savings account, this means that the principal is $3700

The rate is 2%

= 2/100

= 0.02

The number of years is 10

Therefore the money that will be in the account for 10 years can be calculated as follows

3700(1 + 0.02¹⁰)

= 3700(1.02¹⁰)

= 3700(1.22)

= 4514

Hence after a period of 10 years Carl will have $4514 in his bank account

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Answer:

Step-by-step explanation:

x= -2

Answer:g=2

3g+3-3=9-3

3g=6

3g/3=6/3

g=2

Step-by-step explanation:

there you go

[tex] \bf \implies g \: = 2[/tex]

[tex] \bf \longrightarrow3g + 3 = 9[/tex]

[tex]\bf \longrightarrow3g = 9 - 3[/tex]

[tex]\bf \longrightarrow3g = 6[/tex]

[tex]\bf \longrightarrow g = \bf\frac{ \cancel{6}}{\cancel{3}}2[/tex]

[tex]\bf \longrightarrow g = 2[/tex]