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igor_vitrenko [27]
2 years ago
9

Translate into an Algebraic equation: The quotient of a number and 5

Mathematics
1 answer:
gavmur [86]2 years ago
8 0

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

<em>Translate into an algebraic equation:-</em>

<em>The quotient of a number and 5.</em>

<em />

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

✳︎ First, the word "quotient" indicates that we divide.

Here, we have the quotient of a number and 5, so we divide the number by 5; let the number be d.

So the quotient of d and 5 looks as follows:-

\bold{\dfrac{f}{5}}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

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Help with this problem please!
exis [7]
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24

2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1

3. 180 = 101 = 79° = ∠2

4. 180 - 79 = 101° = ∠3

5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4

6. 180 - 101 = 79° = ∠5

7.  180 - 101 = 79° = ∠6

8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7

9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8

10. Angles 2 and 3 are supplementary, which means they add up to 180°.

I hope this helps! :)

4 0
3 years ago
62 pls help 10 points pls help me
Nitella [24]
For large candles, the price is $10. They sold 42, we can say that. 42*10 is the total price or revenue without the cost to make the candles included. The cost to make the candles is $x. So we can say profit for large candles = (420 - 42x).

For small candles. The price is $5 and 56 are sold. The cost is again $x. So the profit for small candles is (280 - 56x).

So the total profit for part one of your question is (420 - 42x) + (280 - 56x).

In part to we are told that large candles cost $5 and small candles cost $3. Substituing this into are expression gives (420 - 42(5)) + (280 - 56(3)). This gives us $322. So the total profit is $322.
4 0
3 years ago
An eastbound train left at 12pm. Four hours later, a westbound train left the same station. At 8pm, the two trains were 400 mile
Ainat [17]

Answer:

Step-by-step explanation:

Gotta love these motion problems!  

d = rt is what we need here to solve this, along with some logic.  

If the EB (eastbound) train left at noon then at the end of its travels, at 8pm to be specific, it was traveling for 8 hours.  Therefore, for the EB train, t = 8.

If the WB train left at 4 pm then at the end of its travels, also at 8pm, it was traveling for 4 hours.  Therefore, for the WB train, t = 4.

The distance between the trains is given as 400 miles.  That 400 mile distance is due to the fact that each train traveled a distance of rate*time.  The distance the WB train traveled + the distance the EB train traveled = 400 miles.  Now we just need to find out the distance each traveled in its respective time frame.  

For the EB train.  We already know that t = 8.  We do not know how fast it's going, so rate is just r.  In the distance formula, d = rt:

d_{EB}=8r

For the WB train.  We already know that t = 4.  We do not know this rate either, but we do know that it is traveling 10 mph faster than the EB train, so rate is r + 10.  In the distance formula, d = rt:

d_{WB}=4(r+10)  and

d_{WB}=4r+40  

We have already determined that

d_{EB}+d_{WB}=400 so

4r + 40 + 8r = 400 and

12r + 40 = 400 and

12r = 360 so

r = 30

That means that the EB train is traveling 30 mph and the WB train then has to be traveling 40 mph.

These are quite difficult...I get it.  They drive all my students, regardless of what math level they are in, absolutely batty!!!

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Westkost [7]

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This should get you 6x + 42

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So now you are left with

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A museum has 382 butterflies it wants to put in display
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Answer:D: 48

Step-by-step explanation:

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