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3 years ago

8

Please help me factorize thisx(a-

le="x(a -b) + a - b" alt="x(a -b) + a - b" align="absmiddle" class="latex-formula">

1 answer:

Nostrana [21]3 years ago

7 0

I’m not sure but I think it’s:
(a-b)(x+1)

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Please help!! Been trying for so long the way my teacher taught it, but cannot get right answer.

Rama09 [41]

River C : 200 + x
River D: x

200 + x + x = 5,540
combine like terms

200 + 2x = 5,540
subtract 200 from both sides

2x = 5,340
divide both sides by 2 to isolate the variable

x = 2, 670

River C: 200 + x = 200 + 2,670 = 2,870
River D: x = 2,670

2,870 + 2,670 = 5,540

5 0

3 years ago

If two lemons cost 15 cents, how many can be bought for 60 cents

Vesna [10]

Well, 2 lemons equal 15, so let's divide 15 by 2.
We get, 15 / 2 = 7.5 cents.
1 lemon= 7.5 cents
7.5 cents times 8 lemons= 60 cents.

8 0

2 years ago

Read 2 more answers

Five times a number plus 5 has the same value as twice the number plus 10

NemiM [27]

Answer: x=5/3

Step-by-step explanation:

For this problem, we can use teh information given to write out an equation and solve. Let's use x for the unknown number.

5x+5=2x+10

The left side of the equation comes from the part that says "five times a number plus 5". That is modeled above. The right side of the equation comes from "has the same value as twice the number plus 10".

5x+5=2x+10 [subtract both sides by 2x]

3x+5=10 [subtract both sides by 5]

3x=5 [divide both sides by 3]

x=5/3

Now, we have found the unknown number, x=5/3.

6 0

3 years ago

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election. Voting records show that 61% of e

steposvetlana [31]

Answer:

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

In a recent survey of 1002 people, 701 said that they voted in a recent presidential election.

Sample proportion

$p = \frac{x}{n} = \frac{701}{1002} = 0.6996$

<u><em>Step(ii)</em></u>

The 95% confidence interval estimate of the proportion of people who say that they voted

$(p^{-} - Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )$

$(0.6996 - 1.96\sqrt{\frac{0.6996(1-0.6996)}{1002} } , 0.6996 + 1.96 \sqrt{\frac{0.6996(1-0.6996)}{1002} } )$

(0.6996 - 1.96 X 0.01448 , 0.6996 + 1.96 X 0.01448)

(0.6996 - 0.02838 , 0.6996 + 0.02838)

(0.67122 , 0.72798)

<u><em>Final answer</em></u>:-

The 95% confidence interval estimate of the proportion of people who say that they voted

(0.67122 , 0.72798)

7 0

2 years ago

How does the volume of an oblique cone change if the height is reduced to 2/3 of its original size and the radius is doubled

spayn [35]

The volume of oblique cone = $\frac{1}{3} \pi r^{2} h$

Now radius is doubled is now it is 2r

And height is reduced to 2/3 of its original size that is 2/3 h

So plugging the values we get volume

New Volume = $\frac{1}{3} \pi (2r)^2 (\frac{2}{3} h)$

= $\frac{1}{3} \pi 4r^2 (\frac{2}{3} h) = \frac{8}{6} \pi r^{2} h =\frac{8}{2} (\frac{1}{3} \pi r^{2} h )$ $=4*(\frac{1}{3} \pi r^{2} h )$

It means the volume becomes 4 times

3 0

3 years ago