Answer: B
Step-by-step explanation:
Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. Since the machines are identical and running at the same constant rate, it means each of them as the same rate. The rate of each machine can produce would be determined by dividing the combined unit rate by 6. It becomes
270/6 = 45 bottles per minutes
The rate for 10 machines running at the same constant rate would be
10 × 45 = 450 bottles per minutes.
If the 10 machines produce 450 bottles per minutes, then,
In 4 minutes, the 10 machines will produce 4 × 450 = 1800 bottles
Answer:
If X is the blank thank it could be .7 * .5= .35 or .3+.5= .35
Answer:
Metallic Balloons = 74
Bunches of Helium Balloons = 38
Step-by-step explanation:
The question basically asks for the number of "metallic balloons" sold and the number of bunches of "helium balloons" sold.
We will do it in our way. Let B be number o metallic balloons and H be number of bunches of Helium balloons.
Since Metallics cost 2 each and Heliums cost 3.5 per bunch and totaled sales is 281, we can write and equation as:
2B + 3.5H = 281
and, since they sold 36 MORE metallic than helium ,we can write an equation as:
B - 36 = H
We can put 2nd equation in 1st one and solve for B first:
![2B + 3.5H = 281\\2B + 3.5(B-36) = 281\\2B+3.5B-126=281\\5.5B=407\\B = \frac{407}{5.5}\\B=74](https://tex.z-dn.net/?f=2B%20%2B%203.5H%20%3D%20281%5C%5C2B%20%2B%203.5%28B-36%29%20%3D%20281%5C%5C2B%2B3.5B-126%3D281%5C%5C5.5B%3D407%5C%5CB%20%3D%20%5Cfrac%7B407%7D%7B5.5%7D%5C%5CB%3D74)
B = 74
Now, we find H:
H = B - 36
H = 74 - 36 = 38
H = 38
Answer:
x = 36
Step-by-step explanation:
(3/4)*x-((2/3)*x)-4 = (1/6)*x-7 // - (1/6)*x-7
(3/4)*x-((2/3)*x)-((1/6)*x)-4+7 = 0
(3/4)*x+(-2/3)*x+(-1/6)*x-4+7 = 0
3-1/12*x = 0 // - 3
-1/12*x = -3 // : -1/12
x = -3/(-1/12)
x = 36