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3 years ago

ASAP WILL MARK BRAINLIEST

Mathematics

1 answer:

Molodets [167]3 years ago

8 0

Answer:

ticket in Japan: 17.23 $

ticket in Switzerland: 13.26 $

Step-by-step explanation:

let the price of one movie ticket in Switzerland be Y

let the price of one movie ticket in Japan be X

then accordingly,

it is given that

3x + 2y = 78.21

and

2x +3y = 74.24

multiplying the first equation by 2 and second by 3 we get

6x + 4y = 156.42

6x + 9y = 222.72

subtracting 1st equation from second we get

5y = 66.3

y = 13.26

by putting in the value of y in equation 2 we get:

2x + 39.78 = 74.24

2x= 34.46

x= 17.23

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Ellie's favorite recipe requires 3 eggs and makes 6 servings. Grace modifies the recipe by using 7 eggs and increasing all other

grandymaker [24]

The modified recipe will make 14 servings.

Step-by-step explanation:

Given,

Eggs used = 3

Servings made = 6

Ratio of eggs to servings = 3:6

Eggs used in modified recipes = 7

Let,

x be the number of servings = x

Ratio of eggs to servings = 7:x

Using proportion;

Eggs to servings :: Eggs to servings

3:6::7:x

Product of mean = Product of extreme

$6*7=3*x\\42=3x\\3x=42$

Dividing both sides by 3

$\frac{3x}{3}=\frac{42}{3}\\x=14$

The modified recipe will make 14 servings.

Keywords: ratio, proportion

Learn more about proportion at:

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8 0

3 years ago

The perimeter of a rectangle is 84. If the length is 2 more than three times the width, what are the dimensions of the rectangle

Marina86 [1]

The perimeter solved shows that the dimensions of the rectangle are 32 and 10.

<h3>How to calculate the perimeter</h3>

Let the width be w

Length = 3w + 2

Perimeter = 2(length + width)

Perimeter = 2(3w + 2) + 2w

6w + 4 + 2w = 84

8w + 4 = 84

8w = 84 - 4

w = 80/8

w = 10

Length = 3w + 2

Length = 3(10) + 2

Length = 32

The dimensions of the rectangle are 32 and 10.

Learn more about perimeter on:

brainly.com/question/19819849

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2 years ago

Use the grouping method to factor this polynomial x ^ 3 + 2x ^ 2 + 7x + 14

elena55 [62]

Answer:

B. ( $x^{2}$ +7)(x+2)

Step-by-step explanation:

The greates common factor between 7 and 14 is 7 so you know that one of the terms is going to be 7....but what times 7 equals 14...2

So we know that in one set of parentheses its going to be (something +2) and in another (something +7)

Well if we know that one is going to be 2, how do we go from 2 to 2 $x^{2}$ .....2 times $x^{2}$ equals $2x^{2}$

So now we know that one set of parentheses is going to be (something + 2) times ( $x^{2}$ +7)

So lastly, we have to find out how to get $x^{3}$ but since we already have a $x^{2}$ in the second set of parentheses all we have to do is put a x in the first set because x times $x^{2} = x^{3}$

Hope this helps!

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3 years ago

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2 years ago

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Masteriza [31]

Answer:

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3 years ago