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GaryK [48]
4 years ago
13

Solve: x − 2 3 = 61 3 A) 42 9 B) 52 3 C) 6 D) 7

Mathematics
1 answer:
Zepler [3.9K]4 years ago
8 0

Answer:

<h2>D) 7</h2>

Step-by-step explanation:

x-\dfrac{2}{3}=6\dfrac{1}{3}\qquad\text{add}\ \dfrac{2}{3}\ \text{to both sides}\\\\x-\dfrac{2}{3}+\dfrac{2}{3}=6\dfrac{1}{3}+\dfrac{2}{3}\\\\x=6\dfrac{1+2}{3}\\\\x=6\dfrac{3}{3}\\\\x=7

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A company buys pens at the rate of $5.50 per box for the first 10 boxes, $4.50 per box for the next 10 boxes, and $3.50 per box
marusya05 [52]

So it is really easy to solve firstly we can see how much does the first 10 boxes make which makes around 55$ obviously. Secondly 45$ for the next 10 boxes.

So for now we can simply calculate that we have spent around 100$ which means 20 boxes. The remaining money left is 77$ so we can buy 77/3.5 = 22 only 22 boxes with that money. Hence a total of 42 boxes.

4 0
3 years ago
In ΔGHI, the measure of ∠I=90°, the measure of ∠G=82°, and GH = 3.4 feet. Find the length of HI to the nearest tenth of a foot.
taurus [48]

Answer:

3.4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
For the function f(x) = 7/2x-16, what is the difference quotient for all nonzero values of h?
sergey [27]

Answer:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

Step-by-step explanation:

Given

f(x) = \frac{7}{2}x - 16

Required

The difference quotient for h

The difference quotient is calculated as:

\frac{f(x + h) - f(x)}{ h}

Calculate f(x + h)

f(x) = \frac{7}{2}x - 16

f(x+h) = \frac{7}{2}(x+h) - 16

f(x+h) = \frac{7}{2}x+ \frac{7}{2}h- 16

The numerator of \frac{f(x + h) - f(x)}{ h} is:

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -(\frac{7}{2}x - 16)

f(x + h) - f(x) =  \frac{7}{2}x+ \frac{7}{2}h- 16 -\frac{7}{2}x + 16

Collect like terms

f(x + h) - f(x) =  \frac{7}{2}x  -\frac{7}{2}x + \frac{7}{2}h- 16 + 16

f(x + h) - f(x) = \frac{7}{2}h

So, we have:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h \div h

Rewrite as:

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}h * \frac{1}{h}

\frac{f(x + h) - f(x)}{ h} = \frac{7}{2}

5 0
3 years ago
Help me please! If it’s right I’ll give brainliest
Wittaler [7]

Answer:

100 i think

Step-by-step explanation:

4 0
3 years ago
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What percent of 300 is 90. Help please
Katyanochek1 [597]
30%.

Well, the simplest way to do it is to put it as a fraction.
90/300.

This is the same as 3/10, which is the same as .30, which is the same as 30% :P

Hope this helped!
3 0
3 years ago
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