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3 years ago

A chemical company makes two brands

Mathematics

1 answer:

Paladinen [302]3 years ago

6 0

Answer:

16 bags for the first(30% pure) and 64 bags of the second(80% pure)

Step-by-step explanation:

If they are mixed in a ratio of x bags to y bags

(0.3x+0.8y)/(x+y) = 0.7

0.3x + 0.8y = 0.7(x+y)

Multiply both sides with 10

3x + 8y = 7(x+y)

4x = y ——(1)

x + y = 80 ——(2)

Solve simultaneously

x + 4x = 80

5x = 80

x = 16 bags

y = 4x = 64 bags

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A sporting goods store sells right-handed and left-handed baseball gloves. In one month, 12 gloves were sold for a total revenue

stepladder [879]

Answer:

$9$ right-handed gloves and $3$ left-handed gloves were sold.

Step-by-step explanation:

Given: In one month, $12$ gloves were sold for a total revenue of $\$561$ .

right-handed gloves cost $\$45$ and left-handed gloves cost $\$52$ .

To find: How much of each type of gloves did they sell?

Solution: Let they sell $x$ right-handed gloves, and $y$ left-handed gloves.

Now, cost of each right-handed gloves $=\$45$

cost of each left-handed gloves $=\$52$

Total revenue $=\$561$

So, we get

$45x+52y=561\:\:\:...(i)$

Also, in a month $12$ gloves were sold.

So, we get

$x+y=12\:\:\:...(ii)$

Now, from $(ii)$ we get, $x=12-y$ .

Putting $x=12-y$ in equation $(i)$ , we get

$45(12-y)+52y=561$

$\implies 540-45y+52y=561$

$\implies7y=561-540$

$\implies7y=21$

$\implies y=\frac{21}{7}$

$\implies y=3$

Now, putting $y=3$ in equation $(ii)$ , we get

$x+3=12$

$\implies x=12-3$

$\implies x=9$

Hence, $9$ right-handed gloves and $3$ left-handed gloves were sold.

7 0

3 years ago

Use the following figure to answer the question.

Mkey [24]

Answer:

corresponding

Step-by-step explanation:

because they are in the same place on both intersections. now if u ask me doggo deserve breinliest pwease ;-;

4 0

2 years ago

Read 2 more answers

Yesterday, a movie theater sold 279 bags of popcorn. A large bag of popcorn costs $4. A small bag of popcorn costs $1. In al

Zanzabum

Answer: 4x+y=567, x+y=279, where x=96 and y=183. X represents the large bags and y the small bags

Explanation: We know that our two totals are 279 and 567, so they will be on their own sides of the equation.

The number of large bags (x) plus the number of small bags (y) equals 279 bags in total.

As it relates to price, the price of the large bags (4x) plus the price of the small (y) gives us $567.

8 0

2 years ago

Read 2 more answers

. A rectangular fish pond is 21 ft2 in area. If the owner can surround the pond with a 20-foot fence, what are the dimensions of

prisoha [69]

Answer:

It's 3 x 7 pond or a 7 x 3 pond

Step-by-step explanation:

Let the rectangular pond have dimensions l x b.

ATQ, l*b=21 and 2(l+b)=20. Solving it, we get l=3 or 7 and b=7 or 3.

7 0

3 years ago