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2 years ago

If $30 is shared between Deidra and Matthew at a ratio of 2:3 when Deidra got $12 how much will Matthew get?? please help

Mathematics

1 answer:

podryga [215]2 years ago

6 0

Answer:

Matthew gets $18

Step-by-step explanation:

Since Deidra got $12, and they split the $30, Matthew will get $30-$12, or $18. You can also check your answer by finding that 12:18 is in fact a ratio of 2:3 by dividing both sides by 6.

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At the local arcade, Rusty spends $6.75 to enter and $0.25 per game played. If Rusty plays 9

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Answer:

T= (9)($.25) + $6.75

Step-by-step explanation:

total cost = 9($.25) + $6.75

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3 years ago

William has $50. He wants to buy some t-shirts that cost $12 each. He also wants to have at least $10 left to buy lunch. What is

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Answer:

The most t-shirts that he can buy is 3

Step-by-step explanation:

He has $50 and needs to have $10 for lunch. So take away the money for lunch and that leaves you with $40. Each t-shirt cost $12 so $40 divided by $12 is 3.333333333. But you can't buy a part of a t-shirt you the most t-shirt you can buy is 3

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2 years ago

a wheel is made of a circular rim and 8 spokes as shown the length of each spoke is 37cm work out the total length of the rim an

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Answer:

Total length of the rim = 232.36 cm (Approx.)

Total length of the rim and spokes = 296 cm (Approx.)

Step-by-step explanation:

Given:

Number of spokes = 8

Length of spokes = 37 cm

Radius of wheel = Length of spokes = 37 cm

Find:

Total length of the rim and spokes

Computation:

Total length of the rim = 2πr

Total length of the rim = 2(3.14)(37)

Total length of the rim = 232.36 cm (Approx.)

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6 0

3 years ago

Please find x and y!!!!!! URGENT! Bots taken down

Julli [10]

Answer:

x = 11, y = 22

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$ , then

tan60° = $\frac{opposite}{adjacent}$ = $\frac{11\sqrt{3} }{x}$ = $\sqrt{3}$ ( multiply both sides by x )

11 $\sqrt{3}$ = x × $\sqrt{3}$ ( divide both sides by $\sqrt{3}$ )

11 = x

Using Pythagoras' identity in the right triangle

y² = x² + (11 $\sqrt{3}$ )² = 11² + 363 = 121 + 363 = 484 ( square root of both sides )

y = $\sqrt{484}$ = 22

4 0

2 years ago

Which sum is equal to the expression - 5x3 + 2x2 + 9x+2/<br> (x²+ 2)²

Makovka662 [10]

Answer:

Option C

Step-by-step explanation:

Given expression is $\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}$

Option A

$\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}$

Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

$\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A+Bx+C}{(x^2+2)^2}$

Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

$\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}$

Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

$\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{x(A+C)+(B+D)}{(x^2+2)^2}$

Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.

3 0

3 years ago

If $30 is shared between Deidra and Matthew at a ratio of 2:3 when Deidra got $12 how much will Matthew get?? please help​

If $30 is shared between Deidra and Matthew at a ratio of 2:3 when Deidra got $12 how much will Matthew get?? please help