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Sloan [31]
3 years ago
8

Use multiplication to solve the proportion. y/9 = 44/54

Mathematics
2 answers:
drek231 [11]3 years ago
5 0

Answer: y=7\dfrac{1}{3}.

Step-by-step explanation:

\dfrac{y}{9} =\dfrac{44}{54} \\\\y \times 54=44 \times 9\\\\54y=396\\\\54y  \div 54=396 \div 54\\\\y=7\dfrac{1}{3}

QveST [7]3 years ago
3 0
9•44=396
396/54=7.3 repeating
Therefore y=7.33
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Angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4
kvasek [131]

9514 1404 393

Answer:

  ∠4 = 45°

Step-by-step explanation:

Angles 1, 2, and 4 are all congruent.

  ∠4 = ∠2

  x +30 = 2x +15

  15 = x . . . . . . . . . . . . . subtract x+15

  x + 30 = 45 = ∠4

6 0
3 years ago
Cran-Soy trail mix costs $2.99 for 5 ounces,
Anna007 [38]

Answer:

Nuts for you

raisin-nuts

cran-soy

lots of cashews

Step-by-step explanation:

you take the price of each item and divide it by how many oz there are then put those numbers in order

7 0
3 years ago
4cos(10x)+2=2<br><br> What would this equal in Degrees??
Ipatiy [6.2K]

Answer:

Simplifying

4cos(10x) + 2 = 2

Remove parenthesis around (10x)

4cos * 10x + 2 = 2

Reorder the terms for easier multiplication:

4 * 10cos * x + 2 = 2

Multiply 4 * 10

40cos * x + 2 = 2

Multiply cos * x

40cosx + 2 = 2

Reorder the terms:

2 + 40cosx = 2

Add '-2' to each side of the equation.

2 + -2 + 40cosx = 2 + -2

Combine like terms: 2 + -2 = 0

0 + 40cosx = 2 + -2

40cosx = 2 + -2

Combine like terms: 2 + -2 = 0

40cosx = 0

Solving

40cosx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Divide each side by '40'.

cosx = 0.0

Simplifying

cosx = 0.0

The solution to this equation could not be determined.

Step-by-step explanation:

7 0
3 years ago
A building contractor buys 60​% of his cement from supplier A and 40​% from supplier B. A total of 95​% of the bags from A arriv
docker41 [41]

Answer: 0.665.

Step-by-step explanation:

60% of the bags are from supplier A, and 95% of them are undamaged.

40% of the bags are from supplier B, and 75% of them are undamaged.

Then, the number of undamaged bags from supplier A is:

0.6*0.95 = 0.57 or 57%

from B is:

0.4*0.75 = 0.3 or 30%

This means that the percentage of undamaged bags is:

57% + 30% = 87%.

Then, the probability that an undamaged bag is from supplier A is equal to the percentage of undamaged bags that came from supplier A (57%) and the total percentage of undamaged bags (87%) this is:

P = 57%/87% = 0.655 or 65.5%

Then the probability that an undamaged bag comes from supplier A is 0.665.

7 0
3 years ago
Find the solution of ___ and determine if it is an extraneous solution
Alex

Answer:

x = 14 is an extraneous solution

Step-by-step explanation:

4\sqrt{x + 2} = -16

Divide both sides by 4.

\sqrt{x + 2} = -4

Square both sides.

(\sqrt{x + 2})^2 = (-4)^2

x + 2 = 16

x = 14

Since we squared both sides, we much check for extraneous solutions because the process of squaring both sides can introduce extraneous solutions.

Check x = 14:

4\sqrt{x + 2} = -16

4\sqrt{14 + 2} = -16

4\sqrt{16} = -16

4(4) = -16

16 = -16

16 = -16 is a false statement, so the solution we found, x = 14, is an extraneous solution.

6 0
3 years ago
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