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harina [27]
3 years ago
13

Hannah can paint a room in 8 hours. Destiny can paint the same room in 10 hours. How long does it take for both

Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:it will take both of the 4.44 hours.

Step-by-step explanation:

Hannah can paint a room in 8 hours. This means that the rate at which she paints the room per hour is 1/8

Destiny can paint the same room in 10 hours. This means that the rate at which Destiny paints the room per hour is 1/10

If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be

1/8 + 1/10 = 9/40

Assuming it takes t hours for both of them to paint the room working together, their working rate per hour would be 1/t. Therefore,

9/40 = 1/t

t = 40/9 = 4.44 hours

IceJOKER [234]3 years ago
5 0

Answer:

Step-by-step explanation:

Let x = time (hours) it takes for both

then

x(1/8 + 1/6) = 1

multiplying both sides by 24 (common denominator):

x(3 + 4) = 24

x(7) = 24

x = 24/7

x = 3.429 hours

or

x = 3 hours and 26 minutes

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53 pts!! The function f(x)= 7^x+1 is transformed to function g through a horizontal compression by a factor of 3. What is the eq
e-lub [12.9K]

The value of k will be 3 if the function is transformed by compression factor of 3

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by  g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.

As it is given in the question that he function is transformed by a compression factor of 3.

Given function

f(x) = 7^x+1\\To\ transform\\g = f(bx)\\g = 7^{3x}+1

The value of k will be 3 if the function is transformed by compression factor of 3

Keywords: Functions, Transformation

Learn more about functions at:

  • brainly.com/question/11280112
  • brainly.com/question/11286417

#LearnwithBrainly

6 0
3 years ago
Read 2 more answers
Vanessa deposits $24,000 into each of two savings accounts. Account I earns 2. 4% interest compounded annually. Account II earns
ikadub [295]

The sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

<h3>How to calculate simple interest amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

I = \dfrac{P \times R \times T}{100}

For the considered case, we're given that:

  • Initial amount in both accounts deposited = $24,000 = P
  • Type of interest: Compound interest in first account and simple interest in second account
  • Unit of time: Annually
  • Rate of interest = 2.4% annually = R
  • Total unit of time for which amount is to be calculated: 5 years = T

In first account, the final amount at the end of 5 years is evaluated as:

A = 24000(1 + \dfrac{2.4}{100})^4 = 24000(1.024)^4  \approx 27021.59\: \rm (in \:  dollars)

In second account,  the final amount at the end of 5 years is evaluated as:

A = 24000 +  \dfrac{24000 \times 2.4 \times 5}{100} = 24000 + 2880 = 26880 \text{\: (in dollars)}

Total amount after 5 years in these accounts = 27021.59 + 26880 = 53901.59 (in dollars)

Thus, the sum of the balances of these accounts at the end of 5 years is given by: Option B: $53,901.59 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

4 0
2 years ago
What is the solution to the equation x÷8−6=3?
Charra [1.4K]

Answer: D. x=72

Step-by-step explanation:

With the equation x/8-6=3  we can start solving by first moving the "-6"

                 x/8-6(<u>+6)</u>=3(+6)

                 x/8=9             <-- Rewrite equation after adding "6" to both sides

                 x/8(*8)=9(*8)  <--- Multiply both sides by 8

                 x=72              <-- After multiplying, solution is found

8 0
3 years ago
1.) Last year, Diane biked k miles. This year, she biked
Naddika [18.5K]

Answer:

1.) k + 516

2.) 2n - 4 = 3

3.) 57 - 2s

4.) 9h = 153

5.) c = 5n

Step-by-step explanation:

All of the problems given require you to set up an expression or equation.  Expressions have a variable and a coefficient or a constant.  Equations also have a variable, coefficient or constant but also include an equal sign.

1.) last year's miles = k, this year = 516, so total:  k + 516

2.) twice the difference of a number and 4 equals 3

twice a number = 2n; difference of this number and 4: 2n - 4; equals 3: =3

2n - 4 = 3

3.) 57 decreased: 57 -; twice her savings: 2s:  57 - 2s

4.) 153 is:  153 =; the product of height and 9:  9h, so 9h = 153

5.) notebooks 'n', were $5 each:  5n; total cost = c, so 5n = c

8 0
3 years ago
Solve for x<br>-2x+2-7x= -70​
Lostsunrise [7]

Answer:

x=8

Step-by-step explanation:

-2x+2-7x=-70

Minus two from each side.

-2x-7x=-72

Combine like terms.

-9x=-72

Divide -9 from each side.

x=8

7 0
3 years ago
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