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zhannawk [14.2K]
3 years ago
15

Dad is 4 times as old as his son Jim. In 10 years, Dad's age will be 20 years more than twice Jim's age. How old is Jim?

Mathematics
2 answers:
horsena [70]3 years ago
8 0

Answer: The correct answer would be C:

Step-by-step explanation:

D=4J and D+10=2(J+10)+20

Nostrana [21]3 years ago
4 0
Let's focus on the "In 10 years" part

in 10 years
D will be (D + 10)
and J will be (J + 10)

"twice Jim's age" would then be 2(J + 10)
and
"20 years more than" that would be 2(J + 10) + 20

so
the answer with
D + 10 = 2(J + 10) + 20
would be your answer
that is, C.
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A circle is to be cut from a 12 ft square board. What will be the area, in square feet, of the inscribed circle? Leave your answ
Kazeer [188]

Answer:

3π sq.feet

Step-by-step explanation:

Area of the square = L²

L is the length of the square

Given

Area of the square = 12 ft square

12 = L²

L = √12

L = 2√3 feet

Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;

Area of the circle = πd²/4

Area of the circle = π(2√3)²/4

Area of the circle  = 12π/4

Area of the circle = 3π sq.feet

5 0
3 years ago
5x+15y=12 ordered pair are solution to the equation
gayaneshka [121]

Let's solve for x.

5x+15y=12

Step 1: Add -15y to both sides.

5x+15y+−15y=12+−15y

5x=−15y+12

Step 2: Divide both sides by 5.

5x

5

=

−15y+12

5

x=−3y+

12

5

Answer:

x=−3y+12/5

Let's solve for y.

5x+15y=12

Step 1: Add -5x to both sides.

5x+15y+−5x=12+−5x

15y=−5x+12

Step 2: Divide both sides by 15.

15y

15

=

−5x+12

15

y=

−1

3

x+

4

5

Answer:

y=-1/3x+4/5

Hope this helps!

-Josh

brainliest?

5 0
2 years ago
A bank loaned out 17000 part of it at the rate of 7% per year and the rest 15% per year. If the interest received in one year to
pogonyaev

x+y=17000 (x.7+y.15)/100=2000 (7x+7y)+8y=200000. 8y=200000-17000.7 y=61.5.5.5 17000-y=9375=x x=9375

6 0
3 years ago
Explain what |-13| means and how to simplify.
poizon [28]

The two bars ( | | ) symbolize absolute value

Absolute value is essentially just making the number given positive.

If the given number is already positive then the absolute value is the same as the original number

|-13| is 13

The absolute value of -13 is 13

Hope this helped!

~Just a girl in love with Shawn Mendes

4 0
3 years ago
Read 2 more answers
The function C(x)=−20x+1681 represents the cost to produce x items. What is the least number of items that can be produced so th
Reptile [31]

Answer:

<em>The least number of items to produce is 41</em>

Step-by-step explanation:

<u>Average Cost</u>

Given C(x) as the cost function to produce x items. The average cost is:

\displaystyle \bar C(X)=\frac{C(x)}{x}

The cost function is:

C(x) = -20x+1681

And the average cost function is:

\displaystyle \bar C(X)=\frac{-20x+1681}{x}

We are required to find the least number of items that can be produced so the average cost is less or equal to $21.

We set the inequality:

\displaystyle \frac{-20x+1681}{x}\le 21

Multiplying by x:

-20x+1681 \le 21x

Note we multiplied by x and did not flip the inequality sign because its value cannot be negative.

Adding 20x:

1681 \le 21x+20x

1681 \le 41x

Swapping sides and changing the sign:

41x \ge 1681

Dividing by 41:

x\ge 41

The least number of items to produce is 41

8 0
3 years ago
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