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3 years ago

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

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3 years ago

Cran-Soy trail mix costs $2.99 for 5 ounces,

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Answer:

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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:

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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.

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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