Ask question

Ask question

All categories

3 years ago

5

Jade spent ⅓ of her math homework time working on word problems. What fraction of an hour did she spend working on word problems

?

1 answer:

Tems11 [23]3 years ago

4 0

Answer:

If total maths hw time = 90 minutes, time spent on word problems = 1/2 hour

Step-by-step explanation:

Let the time available for maths homework be = 90 minutes. It is equal to 1.5 hour (as 1 hour = 60 minutes, 0.5 hour = 30 minutes).

1/3rd of maths homework time, ie 1/3rd of 90 minutes = 30 minutes, is used in doing word problems. These 30 minutes correspond to half (1/2 or 0.5) of an hour, as 1 hour = 30 minutes.

You might be interested in

Circle the division problem that does not belong with the other three. Explain 621/6 384/3 719/7 514/5

dsp73

384/3. because it comes out even..128..the rest won't

8 0

3 years ago

Given p(x)= 3x+1 and r(x)= 2x^2+5 which of the following represents the composition p(r(x)) ?

Temka [501]

Step-by-step explanation:

substitute the values

px=3x+1

=(3x+1)/x

=3x/x +1/x

=3+1/x

rx=2x²+5

p(r(x)) =(3+1/x(2x²+5))

=6x²+15+2x²/x+5/x

=3(2x²+5)+1/x(2x²+5)

=(2x²+5)(3+1/x)

6 0

3 years ago

What is the inverse of the function f(x) = 4x + 8?

morpeh [17]

Answer:

(A) h(x) = 1/4x -2

Step-by-step explanation:

Given: f(x)=4x+8

Rewrite with y: y=4x+8

Switch x and y: x=4y+8

Solve for y: x-8=4y

(x-8)/4=y

1/4x-2=y

y=1/4x-2

This means that h(x) = 1/4x -2 is the correct answer

8 0

3 years ago

PLEASE HURRY!! <br> simplify completely<br> show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

<u>Given:</u>

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

<u>Apply exponent rule of distribution:</u>

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

<u>Simplify the numerator:</u>

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

<u>Simplify the denominator:</u>

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

<u>Simplify:</u>

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

3 years ago

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Midd

zavuch27 [327]

Given:

Total number of students at Colfax Middle School = 270

Ratio of boys to girls is 5:4.

Total number of students at Winthrop Middle School = 180

Ratio of boys to girls is 4:5.

The two schools hold a dance and all students from both schools attend.

To find:

The fraction of the students at the dance are girls

Solution:

There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.

$5+4=9$

Number of boys $=270\times \dfrac{5}{9}=150$

Number of girls $=270\times \dfrac{4}{9}=120$

There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.

$4+5=9$

Number of boys $=180\times \dfrac{4}{9}=80$

Number of girls $=180\times \dfrac{5}{9}=100$

Now,

Total number of students in both schools $= 270+180$

$= 450$

Total number of girls in both schools $= 120+100$

$= 220$

The fraction of the students at the dance are girls is

$\text{Required fraction}=\dfrac{\text{Total number of girls in both schools}}{\text{Total number of students in both schools}}$

$\text{Required fraction}=\dfrac{220}{450}$

$\text{Required fraction}=\dfrac{22}{45}$

Therefore, the required fraction is $\dfrac{22}{45}$ .

7 0

3 years ago