Answer: 3H+4C<_ 30
The coefficients of the variables H and C represent the number of batteries each toy helicopter and each toy car uses.
Step-by-step explanation:
Each toy helicopter uses 3 batteries, and each toy car uses 4 batteries.
Now let's check whether Vugar has enough batteries for 5 toy helicopters and 4 toy cars. To do this, we substitute H=5 and C= 4 in the given inequality:
Does Vugar have enough batteries to play with 5 toy helicopters and 4 toy cars?
No, because if you plug in the value for H and C:
3H + 4C<_ 30
3(5) + 4(4) <_30
15 + 16 <_ 30
31 <_ 30; false
Since the inequality is false, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
Each toy helicopter uses 333 batteries, and each toy car uses 444 batteries.
No, Vugar does not have enough batteries to play with 555 toy helicopters and 444 toy cars.
Answer:
18 cups of sugar
Step-by-step explanation:
Step 1:
120 ÷ 6 = 20
Step 2:
360 ÷ 20
Answer:
18
Hope This Helps :)
Answer:
1,750 building blocks.
Step-by-step explanation:
In order to find the solution to this question, you must use multiplication.
If there are 14 sets of building blocks with 125 blocks each, in order to find the total amount of blocks we multiply 14 by 125.
You should get 1,750 as your final answer.
option B
Explanation:
The cost of renting per hour = $2
For 1 hour = $2
For each additional hour, it is $1
For 2 hours = First hour + 1(additional hour)
For 2 hours = $2 + $1(1) = 2+1 = $3
For 3 hours = $2 + $1 (2) = 2+2 = $4
For 4 hours = $2 + $1(3) = 2+3 = $5
The graph which shows this rental cost as 2, 3, 4, 5 is option B
Answer:
![\frac{19}{12}\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B12%7D%5C%20pounds)
or
![1\frac{7}{12}\ pounds](https://tex.z-dn.net/?f=1%5Cfrac%7B7%7D%7B12%7D%5C%20pounds)
Step-by-step explanation:
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is
![x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}](https://tex.z-dn.net/?f=x%2B1%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B4%7D%7B6%7D%3D3%5Cfrac%7B4%7D%7B8%7D)
Convert mixed number to an improper fractions
![1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B4%2A1%2B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7D)
![3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B4%7D%7B8%7D%3D3%2B%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7B3%2A8%2B4%7D%7B8%7D%3D%5Cfrac%7B28%7D%7B8%7D%3D%5Cfrac%7B14%7D%7B4%7D)
Substitute in the expression above
![x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B5%7D%7B4%7D%2B%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B14%7D%7B4%7D)
solve for x
Multiply by (4*6) both sides to remove the fractions
![24x+30+16=84](https://tex.z-dn.net/?f=24x%2B30%2B16%3D84)
Combine like terms left side
![24x+46=84](https://tex.z-dn.net/?f=24x%2B46%3D84)
subtract 46 both sides
![24x=84-46](https://tex.z-dn.net/?f=24x%3D84-46)
![24x=38](https://tex.z-dn.net/?f=24x%3D38)
Divide by 24 both sides
![x=\frac{38}{24}\ pounds](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B38%7D%7B24%7D%5C%20pounds)
simplify
![x=\frac{19}{12}\ pounds](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B19%7D%7B12%7D%5C%20pounds)
Convert to mixed number
![\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B12%7D%5C%20pounds%3D%5Cfrac%7B12%7D%7B12%7D%2B%5Cfrac%7B7%7D%7B12%7D%3D1%5Cfrac%7B7%7D%7B12%7D%5C%20pounds)