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anyanavicka [17]
2 years ago
7

Hello need help please with Divide rational and simplify

Mathematics
1 answer:
aliina [53]2 years ago
5 0
Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
\frac{ - 14 + 7x}{4}  \times  \frac{4}{4 - 2x}
And you can simplify by eliminating the fours and multiplying straight across
\frac{ - 14 + 7x}{4 - 2x}
You can pull out - 7 from the top and 2 from the bottom so you have this
\frac{ - 7(2  -  x)}{2(2 - x)}
And then you can cancel out to (2-x) to get an answer of
\frac{ - 7}{2}
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an 8 in. by 10 in. photo is reduced so that the width (the shorter dimension) is 3 in. what is the length of the reduced photo
Sindrei [870]

Answer:


Step-by-step explanation:

The length can be found by setting up a proportion.  If the width is reduced by some ratio, then the length will share the same ratio.

3 / 8 =  x / 10                    Multiply both sides by 10.

3 * 10 / 8 = x                     Multiply first

30/8 = x                            Divide next. You don't need to do it in this order.

3 6/8                                 Simplify

3 3/4                                 Give another choice

3.75                                

The length = 3.75 inches

If none of these are correct, please leave a note with your choices.

6 0
3 years ago
Toxaphene is an insecticide that has been identified as a pollutant in the Great Lakes ecosystem. To investigate the effect of t
Likurg_2 [28]

Answer:

This data suggest that there is more variability in low-dose weight gains than in control weight gains.

Step-by-step explanation:

Let \sigma_{1}^{2} be the variance for the population of weight gains for rats given a low dose, and \sigma_{2}^{2} the variance for the population of weight gains for control rats whose diet did not include the insecticide.

We want to test H_{0}: \sigma_{1}^{2} = \sigma_{2}^{2} vs H_{1}: \sigma_{1}^{2} > \sigma_{2}^{2}. We have that the sample standard deviation for n_{2} = 22 female control rats was s_{2} = 28 g and for n_{1} = 18 female low-dose rats was s_{1} = 51 g. So, we have observed the value

F = \frac{s_{1}^{2}}{s_{2}^{2}} = \frac{(51)^{2}}{(28)^{2}} = 3.3176 which comes from a F distribution with n_{1} - 1 = 18 - 1 = 17 degrees of freedom (numerator) and n_{2} - 1 = 22 - 1 = 21 degrees of freedom (denominator).

As we want carry out a test of hypothesis at the significance level of 0.05, we should find the 95th quantile of the F distribution with 17 and 21 degrees of freedom, this value is 2.1389. The rejection region is given by {F > 2.1389}, because the observed value is 3.3176 > 2.1389, we reject the null hypothesis. So, this data suggest that there is more variability in low-dose weight gains than in control weight gains.

8 0
3 years ago
The Santa Fe High School football team must reserve buses to travel to the playoff game. There are 48 members of the team, 10 as
Sloan [31]
Add to find total
members+assistants+coaches=48+10+3=61

each holds 32
how many buses?
32x<u>></u>61
divide both sides by 32
x<u>></u>1.9
we can't have 1.9 bus
round up
2 busses
7 0
3 years ago
Read 2 more answers
Solve the equation x² =6
Klio2033 [76]

I tried doing some equation hope it helps you a little

3 0
2 years ago
Manuel drove 335 miles in 5 hours.<br> At the same rate, how many miles would he drive in 7 hours?
NikAS [45]

Answer:

469

Step-by-step explanation:

What you need to do is divide 335 by 5 to see how many miles are in one hour. You'll get 67. Then you can multiply 67 by 7 to get an answer of 469.

3 0
3 years ago
Read 2 more answers
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