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3 years ago

9

Joseph reads 12 pages in 84 minutes. Assume Joseph reads at a constant speed. Write the number of minutes it takes Joseph to rea

d 1 page.

1 answer:

kykrilka [37]3 years ago

8 0

Answer:

I think 7

Step-by-step explanation:

84 divided by 12 is 7

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Here is free points FOR BEINGS NERDS

Maurinko [17]

Answer:

thank u

Step-by-step explanation:

3 0

3 years ago

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∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.

olganol [36]

Answer:

x = 21°

Step-by-step explanation:

Vertical angles have the same measures, therefore:

3x - 30 = 2x - 9

x - 30 = -9

x = 21°

8 0

3 years ago

In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter

Elenna [48]

Answer:

22 feet

Step-by-step explanation:

Given

In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

$\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}$

$\frac{l}{b} =\frac{L}{B} \\B\times l=L \times b\\B= \frac{L \times b}{l}=\frac{7 \times 1}{1.75} =4$

Therefore Breadth actually=4 feet

⇒Perimeter

$=2\times(length+breadth)\\=2\times(7+4)\\=2\times(11)\\=22$

Therefore perimeter of rectangular balcony= 22 feet

5 0

3 years ago

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

seropon [69]

Answer:

$h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

Step-by-step explanation:

1) The Fundamental Theorem of Calculus in its first part, shows us a reciprocal relationship between Derivatives and Integration

$g(x)=\int_{a}^{x}f(t)dt \:\:a\leqslant x\leqslant b$

2) In this case, we'll need to find the derivative applying the chain rule. As it follows:

$h(x)=\int_{a}^{x^{2}}\sqrt{5+r^{3}}\therefore h'(x)=\frac{\mathrm{d} }{\mathrm{d} x}\left (\int_{a}^{x^{2}}\sqrt{5+r^{3}}\right )\\h'(x)=\sqrt{5+r^{3}}\\Chain\:Rule:\\F'(x)=f'(g(x))*g'(x)\\h'=\sqrt{5+r^{3}}\Rightarrow h'(x)=\frac{1}{2}*(r^{3}+5)^{-\frac{1}{2}}*(3r^{2}+0)\Rightarrow h'(x)=\frac{3r^{2}}{2\sqrt{r^3+5}}$

3) To test it, just integrate:

$\int \frac{3r^{2}}{2\sqrt{r^3+5}}dr=\sqrt{r^{3}+5}+C$

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3 years ago

Mr.Young had some bottles of apple juice and orange juice. The ratio of the number of bottles of apple juice to the number of bo

liq [111]

$At\ the\ beginning\ :\\3x-\ number\ of\ bottles\ of\ apple\ juice\\\\
2x-\ number\ of\ bottles\ of\ orange juice\\\\
After\ sale:\\
1x-number\ of\ bottles\ of\ apple\ juice\\\\
6x- number\ of\ bottles\ of\ orange juice\\\\
\frac{3x-64}{2x}=\frac{1x}{6x}\\\\
\frac{3x-64}{2x}=\frac{1}{6}\\\\Cross\ multiplication:\\\\
6(3x-64)=2x\\
18x-384=2x\ \ \ |subtract\ 2x\\
16x-384=0\ \ \ |add\ 384\\
16x=384\ \ | divide\ by\ 16\\\\x=24
He\ had\ 24\ bottles\ of\ apple\ juice\ and\ 144 \ of\ orange\ juice.$

5 0

3 years ago

Read 2 more answers