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pochemuha
4 years ago
13

Caroline can sketch 3 cartoon strips in two hours. How long will it take her to sketch 6 strips?

Mathematics
2 answers:
DIA [1.3K]4 years ago
8 0
It will take her 4 hours
 2/3 ANS X/6  multiply means and extremes(CROSS MULTIPLY) to get 3x and 12
 isolate the veritable (DIVIDE BOTH SIDES BY 3)
 to get x=4  
i got my proportion by the number of cartoons (THE INDEPENDENT VERITABLE) under the hours it takes to make them (THE DEPENDENT VERITABLE)  
Zarrin [17]4 years ago
6 0
4 hours because she draws double the amount of her sketches
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Solve the following equations using any method. Show your work and check your
Gemiola [76]

a) The solution for the equation 2x + 16 = 5x + 4  is x=4.

b) The solution for the equation 3x − 5 = 2x + 14 is x=19.

c) The solution for the equation 5x − 5 = x + 15 is x=5.

<u>Step-by-step explanation:</u>

<u>a) The given equation is  2x + 16 = 5x + 4 </u>

  • From the above equation, it can be found that the equation consists of x terms and constant terms.
  • Therefore, bring all the x terms on one side and the constant terms on other side of the equation.
  • This gives the simplified form of the equation to solve for x value.

⇒ 16-4 = 5x-2x

⇒ 12 = 3x

⇒ x = 12/3

⇒ x = 4

The solution for the given equation is x=4.

<u>To check, substitute x=4 in the equation :</u>

2(4) + 16 = 5(4) + 4

8+16 = 20+4

24 = 24

Therefore, the solution x=4 satisfies the equation 2x + 16 = 5x + 4

Similarly,

<u>b) The given equation is 3x − 5 = 2x + 14</u>

⇒ 3x-2x = 14+5

⇒ x = 19

The solution for the given equation is x=19.

<u>To check, substitute x=19 in the equation :</u>

3(19) - 5 = 2(19) + 14

57-16 = 38+14

52 = 52

Therefore, the solution x=19 satisfies the equation 3x − 5 = 2x + 14

Similarly,

<u>c) The given equation is 5x − 5 = x + 15</u>

⇒ 5x-x = 15+5

⇒ 4x = 20

⇒ x = 20/4

⇒ x = 5

The solution for the given equation is x=5.

<u>To check, substitute x=5 in the equation :</u>

5(5) - 5 = 5 + 15

25-5 = 20

20 = 20

Therefore, the solution x=5 satisfies the equation 5x − 5 = x + 15

5 0
3 years ago
Help fast !!!! I need to get this done before I go to school ixl AA.1
Lorico [155]

Answer:

slope = - \frac{7}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, - 7 ) ← 2 points on the line

m = \frac{-7-0}{0-(-5)} = \frac{-7}{0+5} = \frac{-7}{5} = - \frac{7}{5}

4 0
3 years ago
Liam is single. He has no children and an adjusted income of $26,700. Last year, his employer held $172 from each monthly payche
Alborosie

Answer:

option B is the correct answer

Step-by-step explanation:

please make me as a brainlist answer

6 0
3 years ago
Jeff is 5 feet tall and casts a shadow 30 inches long. How tall is Marisol if her shadow is 24 inches long?
Westkost [7]
The answer to your problem is that Marisol’s shadow would be 144 feet long
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4 years ago
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Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.
svp [43]

Answer:

There will be 20 914 rupees in the amount at the end of 3 years.

Step-by-step explanation:

The amount of rupes after t years in compound interest is given by:

A(t) = A(0)(1+r)^{t}

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Hiran invests 20 000 rupees in an account for 3 years at 1.5% per year compound interest.

This means that A(0) = 20000, r = 0.015. So

A(t) = A(0)(1+r)^{t}

A(t) = 20000(1+0.015)^{t}

A(t) = 20000(1.015)^{t}

Work out the total amount of money in the account at the end of 3 years.

This is A(3). So

A(3) = 20000(1.015)^{3} = 20913.6

Rounding to the nearest rupee.

There will be 20 914 rupees in the amount at the end of 3 years.

8 0
3 years ago
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