Hey there mate !
Check my attached image for answer.
Have a great day!
No. She does not have enough money. She only has $251 and she needs at least $265 in order to buy the shoes.
Answer:
88:56 = 11:7 pounds.
Step-by-step explanation:
Drop the pound sign. I live in Canada and I can't make that symbol. I'll add something at the end. We just want to divide 144 into a ratio of of 11:7
Step One
Add the two ratios together 11 + 7 = 18
Now set up a ratio to solve for 11 parts out of 18
11:18 = x:144 Proportion
11 / 18 = x / 144 Equation: Cross mulitiply
11*144 = 18x Combine the left side
1584 = 18x Divide by 18
1584 / 18 = x
88 = x
That is the larger amount (11 is larger than 7)
Find the smaller amount
144 - 88 = 56
The two amounts are in the ratio of 11:7
88:56 = 11:7
Answer:
9·x² - 36·x = 4·y² + 24·y + 36 in standard form is;
(x - 2)²/2² - (y + 3)²/3² = 1
Step-by-step explanation:
The standard form of a hyperbola is given as follows;
(x - h)²/a² - (y - k)²/b² = 1 or (y - k)²/b² - (x - h)²/a² = 1
The given equation is presented as follows;
9·x² - 36·x = 4·y² + 24·y + 36
By completing the square, we get;
(3·x - 6)·(3·x - 6) - 36 = (2·y + 6)·(2·y + 6)
(3·x - 6)² - 36 = (2·y + 6)²
(3·x - 6)² - (2·y + 6)² = 36
(3·x - 6)²/36 - (2·y + 6)²/36 = 36/36 = 1
(3·x - 6)²/6² - (2·y + 6)²/6² = 1
3²·(x - 2)²/6² - 2²·(y + 3)²/6² = 1
(x - 2)²/2² - (y + 3)²/3² = 1
The equation of the hyperbola is (x - 2)²/2² - (y + 3)²/3² = 1.
Answer:
1. -3
2. -12
3. 20
4. -15
5. 6
6. -15w+5
7. 10
8. C<-26
9.p> -40
10. P> 16
Step-by-step explanation:
~ -9p -17 = 10
-9p = 27
P = -3
~ x/4 -5 = -8
x/4 = -3
x = -12
~ p/5 +6 =10
p/5 = 4
p = 20
~ -2(m-30) =-6m
-2m+60=-6m
4m = -60
m = -15
~ 3n +2=8+2n
n = 6