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2 years ago

3

Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought

is 4 to 7. If he uses the entire length of rope, how long is each piece?

1 answer:

Artemon [7]2 years ago

8 0

44 and 77. Add 4 and 7 to get 11. Divide and get 11. Now multiply and you have your answers.

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If there are 3 boys for every 4 girls in the choir, how many boys are there if there are 42 students?

Diano4ka-milaya [45]

So if there are 3 boys to every 4 girls, and there are 42 boys, the answer would be 42 to 56????? I'm not quite sure, and it's probably wrong, but that's how we learned in my school.

3 0

2 years ago

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

MakcuM [25]

Answer:

A=8.4063 $u^{2}$

Step-by-step explanation:

Be the functions:

$y=\frac{3}{x};y=\frac{3}{x^{2}}:x=7$

according the graph:

$\int\limits^1_7 {\frac{3}{x} } \, dx -\int\limits^1_7 {\frac{3}{x^{2} } } \, dx =3\int\limits^1_7 {\frac{1}{x} } \, dx -3\int\limits^1_7 {\frac{1}{x^{2} } } \, dx=3(\int\limits^1_7 {\frac{1}{x} } \, dx -\int\limits^1_7 {\frac{1}{x^{2} } } \, dx)=3[lnx-\frac{1}{x}](1-7)=3[(ln7-ln1)-(\frac{1}{7}-1)]=3[(1.945-0)-(0.1428-1)]=3*(1.945+0.8571)=3*2.8021=8.4063u^{2}$

6 0

2 years ago

What is log Subscript 15 Baseline 2 cubed rewritten using the power property?

nalin [4]

Answer:

The equivalent expression

Step-by-step explanation:

Assuming your expression is $\log_{15}2^3$ , then we can use the power property of logarithm , which is $\log_ab^n=n\log_ab$ .

If we let a=15, b=2, and n=3

Then using the power property of logarithm will give us:

$\log_{15}2^3=3\log_{15}2$

Using the power property of logarithm, the equivalent expression is $3\log_{15}2$

7 0

2 years ago

Read 2 more answers

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

katen-ka-za [31]

Answer:

$\displaystyle y = \frac{1}{3}x$

Step-by-step explanation:

First, find the <em>rate of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]:

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 - 4}{9 - 12} = \frac{1}{3}$

Then plug these coordinates into the Slope-Intercept Formula instead of the <em>Point-Slope</em><em> </em><em>Formula</em><em> </em>since you get it done much swiftly that way. It does not matter which ordered pair you choose:

−4 = ⅓[−12] + b

−4

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

_______________________________________________

−3 = ⅓[−9] + b

−3

$\displaystyle ±0 = b \\ \\ y = \frac{1}{3}x$

**You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

8 0

2 years ago

Read 2 more answers

The construction of an 80-meter bridge was finished in 12 weeks. How much of the bridge was built on average each week?

VMariaS [17]

Answer: <em>6.6 meters a week</em>

Step-by-step explanation:

<em>This problem is quite simple</em>

<em>You take 80 and divide it by 12</em>

<em>80/12 </em>

<em>which equals</em>

<em>6.6</em>

3 0

2 years ago