2 years ago

Olivia’s age plus twice John’s age is 30. Three times Olivia’s age plus 8 times John’s age is 108. How old are Olivia and John?

Mathematics

1 answer:

andrezito [222]2 years ago

4 0

Answer:

John is 9 and Olivia is 12

Step-by-step explanation:

12+18= 20

36+ (9x8)= 108

You might be interested in

A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with a speed of 31 ft/s. (a) A

Afina-wow [57]

Answer:

13.86 ft/sec

Step-by-step explanation:

If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know $\frac{dx}{dt}=31 ft/s$ and we want $\frac{dD}{dt}$ when he is halfway (at x = 45).

Using Pythagoras theorem

$D^2=90^2+(90-x)^2\\\text{Differentiating with respect to t}\\2D\frac{dD}{dt}=0+2(90-x)(-1)\frac{dx}{dt}\\2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}$

When x=45

$D^2=90^2+(90-x)^2\\D^2=90^2+(90-45)^2\\D^2=10125\\D=\sqrt{10125}$

$2D\frac{dD}{dt}=-2(90-x)\frac{dx}{dt}\\2\sqrt{10125}\frac{dD}{dt}=-2(90-45)(31)\\\frac{dD}{dt}=\frac{-2(45)(31)}{2\sqrt{10125}} =-13.86ft/s$

Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.

4 0

3 years ago

Michelle is planting flowers in her garden. She wants the ratio of daisies to carnations to be 3 to 2. Michelle wants to plant a

kirill [66]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

HELP ME SO I DON’T FAIL! A regression line was calculated for three similar data sets (A, B, and C) that measure the height of a

Basile [38]

Answer:

DATA SET : A

Step-by-step explanation:

Well I answered it on Apex

6 0

3 years ago

Read 2 more answers

Tell if is: < or >

Setler79 [48]

Answer:

-9 < -1

21/5 < 17/4

8 0

2 years ago

Read 2 more answers

Perform the multiplication FOR THIRTY POINTS!<br><br> (x^2)/(3) multiplied by (x^2-x-6)/(x^2-6x+9)

Oxana [17]

Answer:

(x^3+2x^2)/(3x-9)

Step-by-step explanation:

3 0

2 years ago