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Mixing two kinds of candy the price of which was $2 and $4 per pound, Ella got a 10-lb mix of candy, which cost $2.90 per pound.

topjm [15]

1. You have the following information given in the problem above:

- Ella mixed two kinds of candy the price of which was $2 and $4 per pound.
- Ella got a 10-lb mix of candy, which cost $2.90 per pound.

2. Therefore, let's call:

x: pounds of the first kind of candy.
y: pounds of the second kind of candy.

3. Then, you have:

2x+4(10-x)=(2.90)(10)

4. When you clear x, you obtain:

2x+40-4x=29
-2x=29-40
x=-11/-2
x=5.5 pounds

x+y=10
y=10-x
y=10-5.5
y=4.5 pounds

8 0

2 years ago

Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and

Yanka [14]

Answer:

The ratio is multiplying 1.6 so just pick all the proportional relationships where you have to multiply by 1.6.

Step-by-step explanation:

Proportional relationships man you have to multiply, but since I didn't know what you multiplied 5 to get to 8 I divided.

8÷5=1.6

And if you want to check your answer then multiply.

5×1.6=8

Could I please have BRAINLIEST?

5 0

2 years ago

In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space

posledela

Answer: a.) 40320

b.) 336

Step-by-step explanation:

since we have 8 possible positions, with 8 different candidates, then there are 8 possible ways of arranging the first position, 7 possible ways of arranging the Second position, 6 ways of arranging the 3rd position, 5 possible ways od arranging the 4th position, 4 possible ways of arranging the 5th position, 3 possible ways of arranging the 6th position, 2 possible ways of arranging the 7th position and just one way of arranging the 8th position since we have only one person left.

Hence, the Number of possible sample space for different 8 positions is by multiplying all the number of ways we have in our sample space which becomes:

8*7*6*5*4*3*2*1 = 40320.

b.) By the sample space we have, since we've been asked ti arrange for only the firat 3 positions, then we multiply just for the first 3ways of choosing the positions, this becomes:

8*7*6 = 336

5 0

2 years ago

four times the first of three consecutive odd integers is five less than the product of three and the third integer find the int

Andre45 [30]

I don't understand what integer is being asked for. The question is poorly worded.

The three integers are 7, 9, 11.
4 times 7 = 28
and 3 times 11 = 33
and 28 is 5 less than 33.

8 0

2 years ago

Mr. Johnson currently has a square garden. It is in his garden and into a range of 5 feet shorter than three times shorter than

Vlad [161]

Answer:

The Dimension of new garden is $25 \ feet\ \times 10\ feet.$