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kobusy [5.1K]
4 years ago
6

How do you solve 7/12 ÷ 2 5/8

Mathematics
2 answers:
Darya [45]4 years ago
8 0
First off, we'd convert the mixed fraction to "improper" and then proceed,

\bf \stackrel{mixed}{2\frac{5}{8}}\implies \cfrac{2\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{21}{8}}\\\\
-------------------------------\\\\
\cfrac{7}{12}\div \cfrac{21}{8}\implies \cfrac{7}{12}\cdot \cfrac{8}{21}\implies \cfrac{\underline{7}}{3\cdot \underline{4}}\cdot \cfrac{2\cdot \underline{4}}{3\cdot \underline{7}}\implies \cfrac{2}{9}
Len [333]4 years ago
6 0
I agree with the other answer.
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((5x-16) cubed -4)cubed = 216,000X = _________
Lemur [1.5K]

Given the equation:

((5x-16)^3-4)^3=216000

Applying the exponent laws:

\begin{gathered} \sqrt[3]{((5x-16)^3-4)^3}=\sqrt[3]{216000} \\ (5x-16)^3-4=60 \end{gathered}

Simplify:

\begin{gathered} (5x-16)^3-4+4=60+4 \\ (5x-16)^3=64 \end{gathered}

Applying the exponent laws:

\begin{gathered} \sqrt[3]{(5x-16)^3}=\sqrt[3]{64} \\ Simplify \\ 5x-16=4 \\ 5x-16+16=4+16 \\ 5x=20 \\ \frac{5x}{5}=\frac{20}{5} \\ x=4 \end{gathered}

Answer: x = 4

4 0
2 years ago
Need help with this math.
madreJ [45]

The end behavior of the function y = x² is given as follows:

f(x) -> ∞ as x -> - ∞; f(x) -> ∞ as x -> - ∞.

<h3>How to identify the end behavior of a function?</h3>

The end behavior of a function is given by the limit of f(x) when x goes to both negative and positive infinity.

In this problem, the function is:

y = x².

When x goes to negative infinity, the limit is:

lim x -> - ∞ f(x) = (-∞)² = ∞.

Meaning that the function is increasing at the left corner of it's graph.

When x goes to positive infinity, the limit is:

lim x -> ∞ f(x) = (∞)² = ∞.

Meaning that the function is also increasing at the right corner of it's graph.

Thus the last option is the correct option regarding the end behavior of the function.

<h3>Missing information</h3>

We suppose that the function is y = x².

More can be learned about the end behavior of a function at brainly.com/question/24248193

#SPJ1

3 0
2 years ago
Write the equation of the line perpendicular to 2x-3y=12 which passes through the point (16,-7).
Elanso [62]
Y= mx+b

(16, -7) = (x,y)

2(16) - 3y = 12
32 - 3y = 12
32 - 12 = 3y
20/3 = y
6.6 = y

2x-3(-7) = 12
2x+21 = 12
2x = 12 - 21
x = -9/2

Insert the values into y = mx + b
solve for m and then solve for b 

3 0
3 years ago
Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.
Elodia [21]

Answer:

390 seniors

Step-by-step explanation:

13/20=.65

600x .65=390

4 0
3 years ago
Read 2 more answers
I don’t know if the first one is right but could someone guess true or false?
victus00 [196]

Answer:

B) false D) true E) true

Step-by-step explanation:

Plug in numbers to disprove the first one.

Area formula for triangles says D is true

It's the Pythagorean's Theorem for Heaven's sakes.

3 0
4 years ago
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