Answer:
1) 6 balls
Step-by-step explanation:
x = number of balls Elsa can shoot
x + 6 = number of balls Anna can shoot
18 = number of balls together they can shoot
x + (x + 6) = 18
x + x + 6 = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6
2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.
3)Let x & y be packets of [a] type & [b] type detergent sold
Then 9x +7y =180
Let us say x=7
Then 9*7+7y =180
7y =180–63 = 117
y =117/7=19.2 this will not do as it contains decimal not whole number
Say x=6
Then 9*6 +7y =180
7y=180–54 =126
y =126/7 =18 this is acceptable as it is whole number
Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php
4) 5,6,7 female piglets
5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.
4kg of rice - Php. 360.00
3kg of pork- Php. 390.00
1kg of rice is Php. 90.00
1kg of pork is Php. 130.00
Answer:
The answer to your question is There were sold 166 adult tickets and 294
children tickets.
Step-by-step explanation:
Data
Total number of seats = 460
cost for adults = a = $52
cost for children = c = $26
Total cost = $16276
Process
1.- Write equations to solve this problem
a + c = 460 Equation l
52a + 26c = 16276 Equation ll
2.- Solve the system of equation by substitution.
-Solve equation l for a
a = 460 - c
-Substitute a in equation ll
52(460 - c) + 26c = 16276
-Expand
23920 - 52c + 26c = 16276
-Simplify
-26c = 16276 - 23920
-26c = -7644
c= -7644/-26
c = 294
3.- Find a
a = 460 - 294
a = 166
![\bf \cfrac{x}{4x+x^2}\implies \cfrac{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}{\begin{matrix} x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(4+x)}\implies \cfrac{1}{4+x}\qquad \{x|x\in \mathbb{R}, x\ne -4\}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Bx%7D%7B4x%2Bx%5E2%7D%5Cimplies%20%5Ccfrac%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D%7D%7B%5Cbegin%7Bmatrix%7D%20x%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%284%2Bx%29%7D%5Cimplies%20%5Ccfrac%7B1%7D%7B4%2Bx%7D%5Cqquad%20%5C%7Bx%7Cx%5Cin%20%5Cmathbb%7BR%7D%2C%20x%5Cne%20-4%5C%7D)
if you're wondering about the restriction of x ≠ -4, is due to that would make the fraction with a denominator of 0 and thus undefined.
Answer:
Graph D
Step-by-step explanation:
Initially, Marlon was looking for his pump. Thus, no air was pumped into the balloon until he got the pump. On getting the pump, he inflated the balloon with air at a constant rate, after which he tied it with a string to prevent the air from escaping.
The analysis is that, at the time he decided to inflate the balloon till he got a pump, the volume of air in the balloon is zero with respect to time. Pumping air at a steady rate into the balloon increases the volume of air flowing into it gradually and steadily.
When the volume got to a definite amount, he stopped pumping air and tied with a string. Thus, the volume of air in the balloon remains constant.
Answer:
17.5
Step-by-step explanation:
soln:
given,
since, x and y are directly proportional
and x=140, y=35
dividing x by y we get,
x/y=140/35
or,x/y=4/1
or,x=4y
when x=70,
x=4y
or,70=4y
•°•y=17.5
