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vlabodo [156]
3 years ago
15

There are 2 orange picks for every 5 picks if there are 21 picks in total how many picks are orange

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

8

Step-by-step explanation:

21/4 (but since you can't have part of an orange) it would be 20/5=4

this means there are 4 times oranges are picked, and 2 per time so 4x2=8

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The hardcover version of a book weighs 7 ounces while its paperback version weighs 5 ounces. Forty-five copies of the book weigh
konstantin123 [22]

Answer:

33 copies were paperback and 12 were hardcover.

Step-by-step explanation:

Let h represent the number of hardcover copies and p represent the number of paperback copies.

We know that the total number of copies was 45; this gives us the equation

h+p = 45

We know that each hardcover copy is 7 ounces; this gives us the expression 7h.

We also know that each paperback copy is 5 ounces; this gives us the expression 5p.

We know that the total weight was 249 ounces; this gives us the equation

7h+5p = 249

Together we have the system

\left \{ {{h+p=45} \atop {7h+5p=249}} \right.

We will use elimination to solve this.  First we will make the coefficients of the variable p the same; to do this, we will multiply the top equation by 5:

\left \{ {{5(h+p=45)} \atop {7h+5p=249}} \right. \\\\\left \{ {{5h+5p=225} \atop {7h+5p=249}} \right.

To eliminate p, we will subtract the equations:

\left \{ {{5h+5p=225} \atop {-(7h+5p=249)}} \right. \\\\-2h=-24

Divide both sides by -2:

-2h/-2 = -24/-2

h = 12

There were 12 hardcover copies sold.

Substitute this into our first equation:

12+p=45

Subtract 12 from each side:

12+p-12 = 45-12

p = 33

There were 33 paperback copies sold.

3 0
3 years ago
Read 2 more answers
Andre is preparing for the school play. He needs to paint a cardboard box to look like a dresser. The box is a rectangular prism
ozzi

Answer:

Step-by-step explanation:

75 is right

7 0
2 years ago
Sam shot the basketball 15 times. 40% of his shots were made. How many shots did Sam make?
love history [14]

Answer:

6

Step-by-step explanation:

40% is equal to 40/100

He made 40% of 15 shots so you miltiply 15 by 40/100 which is equal to 6.

6 0
2 years ago
Read 2 more answers
( I know the answers I just don't get why)
Over [174]
1)

neverminding how many grams or liters...or whatever unit for now
we know one bag of grass covered 1/6 of the lawn, "a whole" or 1, is 6/6
if 1 bag covers 1/6, to cover 6/6 is just 1/6 +1/6 +1/6 +1/6 +1/6 +1/6 , or 6 bags

2)

one can was enough for 1/4 of the sprayer, a full sprayer is 1 whole or 4/4, so 1/4 + 1/4 + 1/4 + 1/4  or 4 cans

3)

one potato gives enough for 1/3 for a lighbulb, again, 1 whole is 3/3, so 1/3 +1/3 +1/3 , so 3 potatoes
8 0
3 years ago
Please solve with explanation 8 points
11111nata11111 [884]

Answer:

See below.

Step-by-step explanation:

Given :-

x² + bx + c = 0 if x₁ + x₂ = -b and x₁x₂ = c

Solving :-

a) x₁ = 1/2 and x₂ = -3/4

=> x² + -(1/2 + -3/4)x + 1/2(-3/4)

=> x² + -(-1/4)x + (-3/8)

=> x² + 1/4x - 3/8

=> 8x² + 2x - 3 = 0

b) x₁ = 1 + √5 and x₂ = 1 - √5

=> x² + -(1 + √5 + 1 - √5)x + (1 + √5)(1 - √5)

=> x² - 2x + 1 - 5

=> x² - 2x - 4 = 0

3 0
2 years ago
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