Jack is 4 times as old as lacy. 4 years ago the sum of their ages was 22. How old are they now

Answers

Answer 1

Answer:

4 x 22 =?

the question mark is how old they'll be.

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15.186 rounded to the nearest tenth

Answers

15.186 rounded to the nearest tenth is 15.2.
8 makes the 1 round up. :)

The place values are:
1 5 . 1 8 6
^ ^ ^ ^ ^
10s 1s 10ths 100ths 1000ths

-2(2p - 4) = 3(p+12)

Answers

To simplify this equation, we need to use the distributive property on both sides of the equation.

When we multiply through the parentheses, we get

-4p+8=3p+36

Next, we want to get the variable (in this case p) on one side of the equation, so we add 4p to both sides of the equation to cancel it out with the -4p on the left side.

8=7p+36

Next, we need to subtract 36 from both sides of the equation, to cancel it out with the +36 on the right side.

-28=7p

Finally, we need to divide both sides by 7, to cancel out the multiplication that attached the 7 to the p.

-4=p

Your final answer is p=-4.

Write .60 as tenths in fraction form

Answers

if its just conversion from decimal to fraction it would be 6/10 or 3/5

When you round .60 to nearest tenths you get .6 and when i converted that into a fraction i ended up with 3/5

HELP !!! Use the elimination method to solve the system of equations. 4x + 3y = 11
x - y = 8

Answers

Answer:

C. (5, -3)

Step-by-step explanation:

4x + 3y = 11

x - y = 8 (multiply by 3) --> 3x - 3y = 24

4x + 3y = 11

3x - 3y = 24

---------------------add

7x = 35

x = 5

5 - y = 8

y = 5 - 8

y = -3

(5, -3)

Answer:

C. (5, -3)

Step-by-step explanation:

Rewrite the first equation.

Multiply the second equation by 3 and write it under the first equation.

4x + 3y = 11

3x - 3y = 24

Now add the equations.

7x = 35

Divide both sides by 7.

x = 5

Substitute 5 for x in the original first equation:

4(5) + 3y = 11

20 + 3y = 11

3y = -9

y = -3

Solution: (5, -3)

05.05 HC) Figure ABCD has vertices A(−2, 3), B(4, 3), C(4, −2), and D(−2, 0). What is the area of Figure ABCD?

Answers

Answer:

The area of ABCD is 24 units²

Step-by-step explanation:

* Lets explain how to solve the problem

- All the point in a vertical line have the same x-coordinates

- The length of the vertical line is y2 - y1

- All the point in a horizontal line have the same y-coordinates

- The length of the horizontal line is x2 - x1

- The horizontal and the vertical lines are perpendicular to each other

- The trapezoid has two parallel bases not equal in length and the other

two sides are nonparallel sides

- The area of the trapezoid = 1/2 (sum of the two // bases) × height

* Lets solve the problem

∵ ABCD is a quadrilateral

∵ A = (-2 , 3) , B = (4 , 3) , C = (4 , -2) , D = (-2 , 0)

∵ Side AD has same x-coordinates in A and D (-2)

∴ AD is vertical side

∴ AD = 3 - 0 = 3

∵ Side BC has same x-coordinates in B and C (4)

∴ BC is vertical side

∴ BC = 3 - (-2) = 3 + 2 = 5

∵ AD and BC are vertical lines

∴ AD // BC

∵ Side AB has same y-coordinates in A and B (3)

∴ AB is horizontal side

∴ AB = 4 - (-2) = 4 + 2 = 6

∵ The horizontal and the vertical lines are perpendicular to each other

∴ AB is perpendicular on AD and BC

∵ The side CD is not vertical or horizontal

∴ ABCD has only two parallel sides AD and BC

∵ AD ≠ BC

∴ ABCD is a trapezoid

∵ The two parallel bases are AD and BC

∵ Its height is AB

∵ AD = 3 , BC = 5 , AB = 6

∴ Its area = 1/2 (3 + 5) × 6 = 1/2 (8) × 6 = 4 × 6 = 24 units²

* The area of ABCD is 24 units²

Answer:

24 square units

i did the test

Step-by-step explanation:

The sum of two numbers is 80. The ratio of those two numbers is 3:5 Find the larger number

Answers

the ratio is 3:5 if we add them together we have 8
80 divided by 8 is 10
5x10=50 so the larger one is 50

I don't know if I explained that very well but hopefully this helps you :)

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