Answer: she has $20 left now.
Step-by-step explanation:
The total amount of money that Kathryn had yesterday was 105 dollars.
She first spent 1/3 of it at the mall. This means that the amount of money that she spent at the mall is
1/3 × 105 = $35
The amount left after her shopping would be 105 - 35 = $70
Later, she went to the movies and spent 5/7 of what was left after her shopping. This means that the amount of money that she spent at the movies is
5/7 × 70 = $50
The amount that she has left now is
70 - 50 = $20
Answer:
(fog)(a) = a³ - 3a² + 4a - 2
= (a - 1)×(a² - 2a + 2)
Step-by-step explanation:
<u><em>Given</em></u> :
g(a) = a -1
f(a)= a³ +a
…………………………
(fog)(a) = f(g(a)))
= g(a)³ + g(a)
= (a - 1)³ + (a - 1)
= (a³ - 3a² + 3a - 1) + (a - 1)
= a³ - 3a² + 3a - 1 + a - 1
= a³ - 3a² + 3a + a - 1 - 1
= a³ - 3a² + 4a - 2
<u><em>Second method</em></u> :
(fog)(a) = f(g(a)))
= f(a - 1)
= (a - 1)³ + (a - 1)
= (a - 1)×[(a - 1)² + 1]
= (a - 1)×[a² - 2a + 1 + 1]
= (a - 1)×(a² - 2a + 2)
Answer:
130 balloons
Step-by-step explanation:
295-100= 195
195/1.5=130
Answer:
Step-by-step explanation:
If we divide 9,795 by 7 we get:
=1399.28571429
Rounding to the nearest hundredth:
Underline the hundredths place: 1399.2<u>8</u>571429
Look to the right. If it is 5 or above 5 then we give it a shove.
If it is 4 or less than 4, we let it go.
In our case it is 5. We will add 1 in 8, then it will become 9. 28 will be rounded off as 29.
Therefore the answer after rounding off to the nearest hundredth is 1399.29....
X is amount of books.
x ≤ 9 if the books are 2 inches thick.
x ≤ 18 if the books are 1 inches thick.
Equation for 1 inches.
x ≤ 18
Equation for 2 inches.
2x ≤ 18
Equation for both.
x + 2y = 18
y is amount of 2 inch books
This one equation above is standard form.
