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diamong [38]
3 years ago
8

Solve this please

\leqslant x + 5" alt="2x + 3 \leqslant x + 5" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

x ≤ 2

Step-by-step explanation:

Isolate the variable, x. Note the ≤ sign, treat it like an equal sign, what you do to one side, you do to the other.

First, subtract 3 and x from both sides:

2x (-x) + 3 (-3) ≤ x (-x) + 5 (-3)

2x - x ≤ 5 - 3

Simplify:

2x - x ≤ 5 - 3

x ≤ 2

x ≤ 2 is your answer.

~

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Yes, it can since it is parallel.

7 0
2 years ago
What is a true statement about negative exponents?
Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what x^{-2} is.

To find it, you would take the reciprocal of the x amount. So x^{-2} becomes \frac{1}{x^{2}}.

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So a^{3} would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase a^{3} to a^{5}, you would have to multiply a with a^{3} two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease a^{5} to a^{2}, you would have to divide a^{5} by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: \frac{1}{a^{3}} means that you are dividing 1 by a 3 times.

Hope this helps.

3 0
2 years ago
A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

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Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

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Convert percentage to decimal

Number = 0.4 * 150

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<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
2 years ago
Jeremy is taking a photography class, but he doesn't own a camera. The class organizers will rent him a camera for $6 per day. J
Mazyrski [523]
Solving the given inequality for d, we get...

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Which means that d can be any of the values in this set: {0, 1, 2, 3, 4, 5}

The smallest d can be is 0. In this scenario, Jeremy pays the $15 registration but doesn't rent the camera at all
The largest d can be is 5. In this scenario, Jeremy rents the camera for 5 days
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Notice how I'm rounding down regardless how close 5.83 is to 6

8 0
3 years ago
Read 2 more answers
75% of what number is 42?
Anna35 [415]
75            42
-----         -----
100           x

75 x= 4200
---       ------
75       75

x = 56



6 0
3 years ago
Read 2 more answers
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