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3 years ago

Match each expressions

Mathematics

1 answer:

babunello [35]3 years ago

6 0

This is in the order of the letters-
a5
b3
c8
d1
e7
f6
g4
h2

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William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to

nataly862011 [7]

Answer:

See explanation

Step-by-step explanation:

William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.

Factor number 24 and 60:

$24=2\cdot 12=2\cdot 2\cdot 6=2\cdot 2\cdot 2\cdot 3=2^3\cdot 3\\ \\60=2\cdot 30=2\cdot 2\cdot 15=2\cdot 2\cdot 3\cdot 5=2^2\cdot 3\cdot 5$

Find the greatest common factor

$GCF(24,60)=2^2\cdot 3=12$

Hence, the greatest number of bags William can make is 12.

Each of these bags will have $24\div 12=2$ cans of fruit and $60\div 12=5$ cans of vegetables.

If he made fewer bags, 6 bags, each of these bags will have $24\div 6=4$ cans of fruit and $60\div 6=10$ cans of vegetables.

If he made fewer bags, 4 bags, each of these bags will have $24\div 4=6$ cans of fruit and $60\div 4=15$ cans of vegetables.

If he made fewer bags, 3 bags, each of these bags will have $24\div 3=8$ cans of fruit and $60\div 3=20$ cans of vegetables.

If he made fewer bags, 2 bags, each of these bags will have $24\div 2=12$ cans of fruit and $60\div 2=30$ cans of vegetables.

7 0

2 years ago

∆ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices. The length of side AB is units. The length of side BC is units. The len

leonid [27]

Answer:

AB = 7.07 units

BC = 8.06 units

AC = 12.04 units

Step-by-step explanation:

To find the length for each side of the triangle, apply the distance formula between each pair of vertices.

AB

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(2--3)^2 + (1-6)^2} \\d = \sqrt{(5)^2 + (-5)^2} \\d = \sqrt{25 + 25} \\d = \sqrt{50} \\d=7.07$

BC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9-2)^2 + (5-1)^2} \\d = \sqrt{(7)^2 + (4)^2} \\d = \sqrt{49 + 16} \\d = \sqrt{65} \\d=8.06$

AC

$d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\d = \sqrt{(9--3)^2 + (5-6)^2} \\d = \sqrt{(12)^2 + (-1)^2} \\d = \sqrt{144 + 1} \\d = \sqrt{145} \\d=12.04$

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2 years ago

A can of soup contains 2 servings. Each serving has 130 calories in it. How many calories are there in the whole can?

Allisa [31]

There are 260 calories in the whole can.
to get this you multiply the calories in one serving by the amount of total servings, in this case 2.

6 0

3 years ago

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Simplify x^2+ 5x + 4 over x+4

harkovskaia [24]

Answer:

x+1

Step-by-step explanation:

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3 years ago

2n + 5 = 35 what is the value of n?

Svet_ta [14]

Answer:

$15$

Step-by-step explanation:

2n+5=35

2n=35-5

2n=30

n=15

Answered by

$*GraceRosalia*$

8 0

3 years ago

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