Percent means parts out of 100 so
22%=22/100=0.22

'of' means multiply

'is' means =

36 is 22% of what
36=0.22 times what
divide both sides by 0.22
163.636363=what

the number is163.636363....

7 0

3 years ago

Jax and Sofia collect baseball cards. Jax has 56 cards and Sofia has 68. They each joined different baseball-collecting clubs. E

masya89 [10]

Jax gets 4 packs per month...each pack contains 4 cards...so he gets 16 cards per month.
Sofia gets 3 packs per month..each pack contains 4 cards...so she gets 12 cards per month..

56 + 16m = 68 + 12m
16m - 12m = 68 - 56
4m = 12
m = 12/4
m = 3.....they will have the same number of cards in 3 months

Jax : 56 + 16(3) = 104 cards
Sofia : 68 + 12(3) = 104 cards

and they will both have 104 cards

7 0

2 years ago

If f(x)=x^2- 4 and g(x)=x^2 plus 2 x,

gregori [183]

Answer:

$\huge\boxed{(f-g)\left(-\dfrac{1}{3}\right)=-3\dfrac{1}{3}}$

Step-by-step explanation:

$\text{We have}:\\\\f(x)=x^2-4\ \text{and}\ g(x)=x^2+2x\\\\(f-g)(x)=f(x)-g(x)\\\\\text{therefore}\\\\(f-g)(x)=(x^2-4)-(x^2+2x)=x^2-4-x^2-2x\\\\=(x^2-x^2)-2x-4=-2x-4\\\\(f-g)\left(-\dfrac{1}{3}\right)\to\text{put}\ x=-\dfrac{1}{3}\ \text{to the equation of the function}\ (f-g)(x):\\\\(f-g)\left(-\dfrac{1}{3}\right)=-2\left(-\dfrac{1}{3}\right)-4=\dfrac{2}{3}-4=-3\dfrac{1}{3}$

6 0

3 years ago

When she is outdoors, Tasha the dog, is tied to a stake in the center of a circular area of radius 24 feet. The angle between he

Vlad [161]

Answer: the length of the arc from her dog house to the hydrant is 69 feet

Step-by-step explanation:

The formula for determining the length of an arc is expressed as

Length of arc = θ/360 × 2πr

Where

θ represents the central angle.

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

Radius, r = 24 feet

θ = 165 degrees

Therefore,

Length of the minor arc, DG = 165/360 × 2 × 3.14 × 24

Length of arc = 69 feet rounded up to the nearest feet.

3 0

2 years ago