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Sever21 [200]
4 years ago
9

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. Ralph's

age is _____. 6 12 18 24
Mathematics
2 answers:
Juli2301 [7.4K]4 years ago
8 0

Answer:

Ralph age = 18.

Step-by-step explanation:

Given  : Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then.

To find : Find Ralph's age now.

Solution : We have given

Ralph is 3 times as old as Sara.

Let the Sara age =  x

According to question :

Ralph age = 3 x .

After 6 year

Ralph age would be  3x + 6 = 2( x + 6 ).

According to question :

3x +6 = 2 ( x + 6).

3x + 6 = 2x +12 .

On subtracting both sides b 2x.

3x -2x + 6 = 12 .

x + 6 = 12 .

On subtracting both sides by 6

x = 12 -6.

x = 6.

Sara age = 6 .

Ralph age = 18.

Therefore, Ralph age = 18.

guapka [62]4 years ago
3 0

18 is the correct answer!

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8 0
3 years ago
Which graph shows the solution to the following inequality. -5c+2<27
bogdanovich [222]

Answer:

c > -5

Step-by-step explanation:

-5c + 2 < 27    

      - 2    - 2         Subtract 2 from both sides

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c > -5

I graphed the inequality on the graph below.

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8 0
3 years ago
What is the slope / rate of change for 2, 5 and -3, 7​
Nady [450]

Answer:

\displaystyle m=\frac{-2}{5}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 5)

Point (-3, 7)

<u>Step 2: Identify</u>

x₁ = 2, y₁ = 5

x₂ = -3, y₂ = 7

<u>Step 3: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [Slope Formula]:                                                             \displaystyle m=\frac{7-5}{-3-2}
  2. [Slope] [Fraction] Subtract:                                                                             \displaystyle m=\frac{2}{-5}
  3. [Slope] [Fraction] Rewrite:                                                                              \displaystyle m=\frac{-2}{5}
4 0
3 years ago
Which shape listen below will result from cross section b?
Inessa05 [86]

Answer: Ellipse

This cross section is not parallel to the circular base, so we get a stretched out circle of sorts. In other words, we get an ellipse.

5 0
2 years ago
I need help on 12, I don't know how to make that an expression! Thanks! Please explain!
exis [7]
A rug maker is using a pattern that is a rectangle with a length of 96 inches and a width of 60 inches. The rug maker wants to increase each dimension by a different amount. Let l and w be the increases in the length and width. Write and simplify an expression for the perimeter of the new pattern.

p=2(96+l)+2(60+w)
This is the equation. p is for perimeter. (96+l) represents the original length plus the change in length. The 2 before (96+l) represents that there is one length on each side of the rectangle.
Same for the width. (60+w) represents the original width plus the change in width. The 2 before (60+w) represents that there is one width on each side of the rectangle.
The simplified equation is p=(192+2l)+(120+2w) (this is your answer)

I hope this helps!

3 0
3 years ago
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