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kkurt [141]
3 years ago
15

Sharon is 42 years old. Her daughter is 12 years old. How many years ago was Sharon 4 times older than her daughter?

Mathematics
2 answers:
MrRissso [65]3 years ago
4 0
To do this, we need to know how much older than her daughter Sharon. She is 30 years older, so we get
d = s - 30
We want to figure out when d = s - 30, and 4d = s, so here's what we do:
Since 4d = s, we can substitute 4d for all occurences of s
d = 4d - 30
And then we can solve for d
-3d=-30
d=10
And then we plug that number into our original equation
10 = s-30
40 = s
Sharon was 40 years old when she was 4 times her daughter's age. Since she is now 42, we know she was 4 times her daughter's age 2 years ago
kogti [31]3 years ago
3 0
Sharon: 40
Daughter: 10
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How do i solve for x?
kirza4 [7]

Answer:

x = 6

Step-by-step explanation:

We can see that the the 32 degree angle plus the equation (9x + 4) is equal to 90 degrees.

We know this because the bottom line is a 180 degree angle, and we can see on the other side that it is a right angle.

If we were to turn that into an equation it would like like this:

(9x + 4) + 32 = 90

Now you just have to solve for x.

9x + 4 + 32 = 90

Combine like terms:

9x + 36 = 90

Subtract 36 from both sides

9x = 54

divide both sides by 9

x = 6

and you are left with the answer.

6 0
3 years ago
What is the value of n in 9x27+2x31-28=n
rosijanka [135]
243 + 62-28 = n
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6 0
3 years ago
Read 2 more answers
I need help please and thank you
Brums [2.3K]

Well I THINK triangle ABC is just a stretched out version of triangle DEF.

To find the area of a triangle, you multiply base and height, and divide by 2.

Area of DEF is 6, so that means that (4 * x)/2 = 6.

6*2 = 12....

4 * x = 12........

4 * 3 = 12.

x = 3.

Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.

3*3 = 9.

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5 0
3 years ago
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Please help with this Math Question...
Nataly [62]

Answer: A

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

f(x) = x³ + 4x² + 7x + 6

possible rational roots are ±{1, 2, 3, 6}

Try x = -2

-2 |   1   4   7   6

   <u>|   ↓  -2  -4  -6</u>

       1    2    3   0 ← remainder is 0 so x = -2 is a root  ⇒  (x + 2) = 0

The factored polynomial x² + 2x + 3 = 0 is not factorable so use the quadratic formula to find the roots.

a=1, b=2, c=3

x=\dfrac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\dfrac{-(2)\pm\sqrt{(2)^2-4(1)(3)} }{2(1)}

x=\dfrac{-2\pm\sqrt{4-12} }{2}

x=\dfrac{-2\pm\sqrt{-8} }{2}

x=\dfrac{-2\pm2i\sqrt{2}}{2}

x = -1 \pm i\sqrt{2}

x = -1 + i\sqrt{2}       x = -1 - i\sqrt{2}

x - (-1 + i\sqrt{2})=0       x - (-1 - i\sqrt{2})=0

The factors are:

(x - 2)[x - (-1 + i\sqrt{2})][x - (-1 - i\sqrt{2})]




5 0
3 years ago
Segment lm is the midsegment of trapezoid abcd. ab = 58, and dc = 98. what is lm?
kifflom [539]
Lm would be 78 because it is halfway between ab and dc and 98-58=40 and half of 40=20, so 58+20=78 or 98-20=78.
3 0
3 years ago
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