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Oksi-84 [34.3K]
3 years ago
8

Ralph is 3 times as old as Sara in 4 years Ralph will be twice as old as Sara will be then. Find Ralph’s age now.

Mathematics
1 answer:
Xelga [282]3 years ago
6 0

Answer:

3x+4 Ralph is currently 12 years old.

Step-by-step explanation:

You can find the equation by reading the scenario given. When you read it, it says that Ralph is 3 times as old as Sara and since her current age is going to be used to represent x you will first get 3x. That automatically eliminates the second and third choice given. It then says the equation is for Ralph's age in four years which means to add four to the equation. This gives you 3x+4 as your equation.

When something is tripled and then in a few years it is doubled, it is easiest to first try the number that is being added. So in this case the number is four. When you multiply 4 by 3 you get 12. If Sara is 4 she'll turn eight in four years and if Ralph is 12 he'll turn 16 in four years. 16 divided by 2 is 8 which shows you that Ralph is currently 12

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F(x)=-(x+2)^2+3 put in standard form
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Answer:

F(x)=-x^2-4x-1

Step-by-step explanation:

According to PEMDAS, do the exponent part for the parentheses, sense it goes first.

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Then distribute the - sign

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36 is 0.9% of what number?
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Find the value of r so the line that passes through the pair of points has the given slope.
SOVA2 [1]

Answer:

The missing value in the ordered pair is 66

Step-by-step explanation:

Given that:

(12,10) and (-2,r)

Slope = m = -4

We have to find the value of r so that the line has a slope of -4.

Slope is the steepness of line which is denoted by m.

Here,

x_1=12, y_1=10\\x_2=-2, y_2=r

Putting the values in slope of line formula,

-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\

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The value of r is 66

Hence,

The missing value in the ordered pair is 66

4 0
3 years ago
Can someone please help me, Thanks - Alyssa T.
Oxana [17]
A=LW
192=(13+x)((9+x)
192=117+22x+x^2 (subtract 192 from both sides)
x^2+22x-75+0 (factor)
(x+25)(x-3)=0
so x=-25 or 3
Check work
since we are adding x it can only be the positive solution so x=3 so the new dimensions are:
L=13+3=16m
W=9+3=12
check: 16*12=192 so the answer is correct hope this helped
7 0
3 years ago
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