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castortr0y [4]
3 years ago
14

10x + 4y = 24 6x +12y = 48 What is the value of y? * A. 7 B. 7/2 C. 1 D. -7/2​

Mathematics
1 answer:
ziro4ka [17]3 years ago
4 0

Answer:

B

Step-by-step explanation:

1) lets use elimination to solve this:

multiply 10x+4y=24 with 3 in order to get "4y" into "12y"

3(10x+4y=24)

30x+12y=72

now subtract both equations to eliminate 'y"

30x+12y=72

-

6x+12y=48

---------------------

24x=24

x=1

now substitute 1 in the above equation:

6(1)+12y=48

6+12y=48

12y=42

y=7/2

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What’s the Value for k?
xeze [42]

Answer:

Step-by-step explanation:

The sum of the angles on a straight line is 180 degrees. Therefore,

Angle XYZ + angle MYZ = 180

Angle XYZ + 115 = 180

Angle XYZ = 180 - 115 = 65 degrees

The sum of the angles in a triangle is 180 degrees. It means that

Angle XZY + angle YXZ + angle MYZ = 180

Therefore,

4k + 5 + 6k + 10 + 65 = 180

4k + 6k + 5 + 10 + 65 = 180

10k + 80 = 180

10k = 180 - 80 = 100

Dividing the left hand side and the right hand side of the equation by 10, it becomes

10k/10 = 100/10

k = 10

5 0
3 years ago
Fabio drinks 2 quarts of water each day. How many cups of water does Fabio drink each day? (1 quarts = 4 cups
Westkost [7]

If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

By applying direct proportion, we have:

1 quarts = 4 cups

2 quarts = X cups

Cross-multiplying, we have:

X = 4 × 2

X = 8 cups.

In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.

Read more on direct proportion here: brainly.com/question/1266676

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5 0
1 year ago
Your are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's
klemol [59]

The width of the card to the nearest tenth of an inch is 6.15 inches

<h3>Area of rectangle</h3>

  • Width = x
  • Length = 2x + 1
  • Area = 88 square inches

Area of a rectangle = Length × Width

88 = (2x + 2) × x

88 = 2x² + 2x

2x² + 2x - 88 = 0

x = -b ± √b² - 4ac / 2a

= -2 ± √2² - 4(2)(-88) / 2(2)

= -2 ± √4 - (-704) / 4

= -2 ± √708 / 4

= -1/2 ± √177/2

x = 6.15 or -7.15 inches

The width of the rectangle can not be negative, so, 6.15 inches is the width.

Learn more about rectangle:

brainly.com/question/13048427

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5 0
2 years ago
Billy is 5 2/3 feet tall. Maris is 4 11/12 feet tall. How much taller is billy
3241004551 [841]

3/4 feet

You can set this up as an equation and solve

5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12}  -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}

3 0
3 years ago
solve for x and y ,32base x+51base y and 23base x +42 base y =710. ,number bases interms of simultaneous equation​
In-s [12.5K]

Answer:

<h2>x = -348.5, y = 350.5</h2>

Step-by-step explanation:

32base x means 3x + 2

Similarly, 32base x+51base y equals to 3x + 2 + 5y + 1 = 3x + 5y + 3

and 23base x +42 base y means 2x + 3 + 4y + 2 = 2x + 4y + 5

As per the given condition, 3x + 5y + 3 = 2x + 4y + 5\\x + y = 2

Putting, y = 2 - x in 2x + 4y + 5 = 710, we get

2x + 4y = 705\\2x + 4(2 - x) = 705\\8 - 2x = 705\\4 - x = 352.5\\x = -348.5

y = 2 - x = 2 - (-348.5) = 2 + 348.5 = 350.5

6 0
3 years ago
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