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3 years ago

What is 3/15 in a decimal

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

7 0

$\frac{3}{15} = \frac{3*1}{3*5} =^{2/} \frac{1}{5} = \frac{2}{10} =0.2$

Damm [24]3 years ago

4 0

Well, since 3/15 can be simplified to 1/5 by dividing the top and the bottom by 3, you would just need to find the decimal of 1/5 which is much more commonly recognized. it's .2 (becasue 1/10 would be .1 and 1/5=2/10 so .1x2=.2)

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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

2 years ago

Please help!!

oksano4ka [1.4K]

1. -6 ≤ x < -1 . . . . conjunction
2. x ≤ 6 . . or . . 10 ≤ x . . . . disjunction
3. 7 ≤ x < 12 . . . . conjunction
4. x < -9 . . or . . -3 ≤ x . . . . disjunction
5. 2 ≤ x ≤ 5 . . . . conjunction
6. x ≤ 54 . . or . . 66 ≤ x . . . . disjunction
7. 39 < x ≤ 43 . . . . conjunction

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Your problem statement provided no letters.

8 0

3 years ago

Read 2 more answers

3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys

Svetach [21]

Answer:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = $x$

Given that, $\frac{3}{7}$ of 8th graders play sports

$\Rightarrow$ 8th graders who play sports = $\frac{3}{7} \times x$

Also, Given that, $\frac{3}{5}$ of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = $\frac{3}{5} \times \text{Number of 8th graders who play sports}$

$\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x$

Hence, the answer is:

$\dfrac{9}{35}$ is the fraction of 8th graders who are boys.

6 0

3 years ago

Answer quick for brainliest.

PtichkaEL [24]

The slope is -3 and the y-intercept is -1

8 0

3 years ago

Read 2 more answers

What does ! mean in a math problem?

sergey [27]

Answer:

Factorial

Step-by-step explanation:

Factorial: Denoted by the exclamation mark (!). Factorial means to multiply by decreasing positive integers. For example, 5! = 5 ∗ 4 ∗ 3 ∗ 2 ∗ 1 = 120.

Hope this helped you<33

8 0

2 years ago

Read 2 more answers