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earnstyle [38]
3 years ago
14

A garden contains several different types of flowers. In the garden, 2/3 of the flowers are roses. Of the roses, 1/5 of the flow

ers are white and 3/5 of the flowers are pink. What fraction of the total flowers in the garden are white or pink roses?
A. 11/15
B. 4/15
C. 12/15
D. 8/15
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

D. 8/15

Step-by-step explanation:

4/5 = 2/3 +1/3

We need to multiply by 6 to find answer as 3 is a divider of 6

4 x 6 =24

5 x 6 =30

24/30

Then we find 1/2 of 30 and add this to make 3/3

Just like 1/2 of 2 = 1 and 2+1 = 3

30 / 2  = 15

15 + 30 =45

The answer is 24/45

We then reduce this fraction by 3 as 6 + 8 do not divide into 45

24/45 = 8/15

The answer is 8/15

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2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai
nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}

\frac{1}{4} = \frac{15 + x + x}{x(15+x)}

\frac{1}{4} = \frac{15 + 2x}{x(15+x)}

Applying cross multiplication.

x^2 + 15x = 4(15 + 2x)

x^2 + 15x = 60 + 8x

x^2 + 7x - 60 = 0

Quadratic equation with a = 1, b = 7, c = -60. So

\Delta = 7^{2} - 4*1*60 = 289

x_{1} = \frac{-7 + \sqrt{289}}{2} = 5

x_{2} = \frac{-7 - \sqrt{289}}{2} = -12

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0
3 years ago
Find last year's salary if, after a 5% pay raise, this year's salary is $36,225.
Nataly [62]

Answer:

$34500

Step-by-step explanation:

In order to reverse a 5% pay raise, divide by 1.05.

36225/1.05=34500

6 0
4 years ago
Write the number eleven and six hundred fifty-one thousandths in standard form.
sweet-ann [11.9K]
The standard form of thr number is 11.651
5 0
4 years ago
Okay Is the answer c ??
aleksandrvk [35]

Answer:

b.

Step-by-step explanation:

b and c have the same amount of sqaures but b is facing the same way.

8 0
3 years ago
Read 2 more answers
Seven less than thirty-four divided by a number
Elenna [48]

Answer:

40-7/x

Step-by-step explanation:

seven less than 40

40-7

divided by a number(x)

5 0
3 years ago
Read 2 more answers
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