3 years ago

What is the prime factorization of 140 using exponents

Mathematics

1 answer:

Scorpion4ik [409]3 years ago

8 0

2^2 x 5 x 7 =140

^ is used to represent exponent

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A necklace has and matching bracelet have two types of beads. The necklace has 12 large beads and 8 small beads and weighs 88 gr

miv72 [106K]

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Step-by-step explanation:

Let,

Weight of one large bead = x

Weight of one small bead = y

According to given statement;

12x+8y=88 Eqn 1

5x+2y=25 Eqn 2

Multiplying Eqn 2 by 4

$4(5x+2y=25)\\20x+8y=100\ \ \ Eqn\ 3\\$

Subtracting Eqn 1 from Eqn 3

$(20x+8y)-(12x+8y)=100-88\\20x+8y-12x-8y=12\\8x=12$

Dividing both sides by 8

$\frac{8x}{8}=\frac{12}{8}\\x=1.5$

Putting x=1.5 in Eqn 1

$12(1.5)+8y=88\\18+8y=88\\8y=88-18\\8y=70$

Dividing both sides by 8

$\frac{8y}{8}=\frac{70}{8}\\y=8.75$

Weight of one large bead is 1.5 grams and weight of one small bead is 8.75 grams.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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2 years ago

If diameter of a circle is twice as large as the diameter of a smaller circle, What

Leona [35]

The area of a circle uses the radius of a circle, which is 1/2 the diameter.

In the calculation the radius is squared.

Since the diameter of the larger circle is twice as large the radius would be 2 times.

2 squared would be: 2^2 = 4

This means the area of the larger circle is 4 times larger which would make the ratio 4:1

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2 years ago

Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of

gizmo_the_mogwai [7]

Answer:

1 4/35

Step-by-step explanation:

All I did was do 5/7 + 2/5.

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alexandr402 [8]

Answer:

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70 jumping jacks in total?

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