Answer:
$1.00
Step-by-step explanation:
Total Budget = $35
Cake Spent = $18
Remaining Money = 35 - 18 = $17
Since, each balloon is worth $4, to find how many balloons he will get with remaining money ($17), we divide the the remaining money by price of each balloon:
17/4 = 4.25
We can't have fractional balloons, so Abit can get 4 balloons, MAXIMUM.
4 balloons cost = $4 per balloon * 4 = $16
So, from $17 if he spends $16 for balloons, he will have left:
$17 - $16 = $1.00
Answer:
6x² - xy - 15y²
Step-by-step explanation:
To multiply these two binomials together, we can use FOIL. FOIL stands for:
First: Multiply the first terms of the binomials together.
Outer: Multiply the first term of the first binomial by the second term of the second binomial.
Inner: Multiply the second term of the first binomial by the first term of the second binomial.
Last: Multiply the second (last) terms of the two binomials together.
(3x - 5y)(2x + 3y) = (3x)(2x) + (3x)(3y) + (-5y)(2x) + (-5y)(3y)
= 6x² + 9xy - 10xy - 15y²
= 6x² - xy - 15y²
I hope you find my answer helpful.
Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
A=Lw
P=2L+2w
216=Lw
W=216/L...substitute to Perimeter equation
60=2L+2(216/L)
60L=2L^2 + 432
2L^2-60L+432=0
2(L^2 - 30L + 216)=0
2(L-18)(L-12)=0
L=12, W=18 or L=18, W=12
Answer:
-11
Step-by-step explanation:
y=-7-4= -11
