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Alik [6]
2 years ago
12

It takes Doug 3 days to reroof a house. If Doug's son helps, it can be done in 2 days. How long would it take Doug's son to do t

he job alone?
Mathematics
1 answer:
Bess [88]2 years ago
7 0
It would take his son 3 days
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How do you solve: negative eight is less than or equal to 8x
devlian [24]
-8≤8x
Divide both side by 8
-1≤x
x≤1
(When u multiply or divide by a negetive number direction of  inequality chenges)
7 0
3 years ago
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I need to find side x of this 30 60 90 triangle i think with special right triangle methods
zvonat [6]

This is a 30-60-90 triangle and we can apply rules to easily identify the hypotenuse of this triangle, which is denoted by <em>x</em>.

The length of the longer side of the triangle is given in the problem. To solve the hypotenuse of this triangle, let's solve first for the length of the shorter side of the triangle.

The shorter side can be solved by just dividing the length of the longer side by the square root of 3. Hence, we have

short=\frac{4}{\sqrt[]{3}}

Since we already have the values for the length of the shorter side and longer side, we can solve for the hypotenuse using the Pythagorean theorem.

\begin{gathered} c=\sqrt[]{a^2+b^2} \\ c=\sqrt[]{4^2+(\frac{4}{\sqrt[]{3}})^2} \\ c=\sqrt[]{16+\frac{16}{3}} \\ c=\sqrt[]{\frac{64}{3}} \\ c=\frac{8}{\sqrt[]{3}}\cdot\frac{\sqrt[]{3}}{\sqrt[]{3}} \\ c=\frac{8\sqrt[]{3}}{3} \end{gathered}

Hence, the value of hypotenuse for this right triangle is

x=\frac{8\sqrt[]{3}}{3}

4 0
10 months ago
Tanya spent 1/5 of her allowance on candy and 2/3 on food. What fraction of her allowance did Tanya spend on food and candy alto
kari74 [83]
13/15 of her allowance was spent in total.

To solve this, you'd need to find the least common denominator (LCD) so that both fractions have the same number on the bottom. In this case, the first number that you could get with 5 and 3 was 15.

Next, you'd have to multiply the numerator by the same amount as the denominator, so that the fractions are proportionate. So, for 1/5, since we had to multiply 5 by 3 to get 15, we'd multiply 1 by 3 as well, giving us 3/15. Doing the same with 2/3, we'd get 10/15.

Then, you add the two fractions together (10/15 + 3/15 = 13/15).

Now, in any other case, you could probably simplify the fraction after you've solved the problem. If we got 12/15 instead of 13/15, then we could simplify that to 4/5, since both 12 and 15 are divisible by 3. But in this case, this is the simplest form of that fraction.

Hope this helped!!!
8 0
3 years ago
I need help with this problem 11/16x8/77
Setler79 [48]

Answer:

1/14

Step-by-step explanation:

6 0
2 years ago
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14. Find the slope of a line parallel to 3y - 6x = 9. (Lesson 3-4)
DanielleElmas [232]

\bf 3y-6x=9\implies 3y=6x+9\implies y=\cfrac{6x+9}{3}\implies y = \cfrac{6x}{3}+\cfrac{9}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{2}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

a parallel line to that one above, will have the same exact slope, since parallel lines have the same slope.

4 0
3 years ago
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