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2 years ago

12

Ralph went on a shopping trip. He bought a pair of shoes and a sweater. Ralph spent 12% more on the sweater than on the shoes.

The cost of the sweater is ____% of the cost of the shoes.

1 answer:

IgorLugansk [536]2 years ago

4 0

Answer: 112%

Step-by-step explanation:

Let x = the cost of the shoes

If the cost of the sweater is 12% more than the cost of the shoes, then 1.12x is the cost of the sweater.

To convert the 1.12x into a percentage, multiply 1.12 by 100

This gives you: 112%

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On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N

ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

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$S= (2,1)$

$T = (1,3)$

LMN

$L = (0,-1)$

$M= (2,-4)$

$N= (-2,-3)$

Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

$Area = \frac{1}{2}|-10|$

Remove absolute signs

$Area = \frac{1}{2}*10$

$Area = 10$

For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

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3 years ago

A bag has 8 bagels. Three of the bagels are cranberry. What percent of the bagels are cranberry?

Ipatiy [6.2K]

Three out of the eight are cranberry therefore three divided by eight is .375 when rounded it is .38 so it is 38% cranberry.

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3 years ago

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ozzi

Answer:

54

Step-by-step explanation:

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the ratio is 3:2

Multiply by x

3x:2x

Add them together and set equal to 90

3x+2x=90

5x=90

Divide each side by 5

5x/5 = 90/5

x = 18

The first angle is 3*18 = 54

The second angle is 2*18 = 36

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Liula [17]

Answer:34%

Step-by-step explanation:I think this is right but I don’t really understand

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3 years ago

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sergeinik [125]

Answer:

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$\text{Use the Pythagorean theorem:}$

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$\text{a, b - legs}\\\text{c - hypotenuse}$

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