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3 years ago

Write the following as an inequality.

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

6 0

Answer:

-2 < w ≤ 6

Step-by-step explanation:

The inequalities you're asked to combine are ...

-2 < w

6 ≥ w

Turn one of these around so the "arrows" point in the same direction. (My preference is that they point to the left.) Now you have ...

-2 < w

w ≤ 6

You combine these by putting w in the middle:

-2 < w ≤ 6

_____

<em>Alternate solution</em>

I like the above solution because it puts the components of the expression in the same (left-right) order as they appear on a number line. However, both inequalities can be turned around to get ...

6 ≥ w > -2

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2 years ago

Which equation is in slope-intercept form and represents a line with slope 0 through the point (2, 3)?

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Y = mx + b
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4 0

3 years ago

Determine the unknown side of the similar triangle.<br> A) 2 <br> B) 3 <br> C) 4 <br> D) 5

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3 years ago

April sold 75 tickets to the school Christmas play and collected $495. If adult tickets cost $8 and children tickets were $5 how

Ostrovityanka [42]

40 adult tickets were sold and 35 children tickets were sold

<em><u>Solution:</u></em>

Let "a" be the number of adult tickets sold

Let "c" be the number of children tickets sold

Cost of 1 adult ticket = $ 8

Cost of 1 children ticket = $ 5

<em><u>Given that April sold 75 tickets to the school Christmas play and collected $495</u></em>

Number of tickets sold = 75

number of adult tickets sold + number of children tickets sold = 75

a + c = 75 ----- eqn 1

<em><u>Given that April collected $495</u></em>

Thus we can frame a equation as:

number of adult tickets sold x Cost of 1 adult ticket + number of children tickets sold x Cost of 1 children ticket = $ 495

$a \times 8 + c \times 5 = 495$

8a + 5c = 495 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

From eqn 1,

a = 75 - c ---- eqn 3

Substitute eqn 3 in eqn 2

8(75 - c) + 5c = 495

600 - 8c + 5c = 495

-3c = 495 - 600

-3c = - 105

Substitute c = 35 in eqn 3

a = 75 - 35

Thus 40 adult tickets were sold and 35 children tickets were sold

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3 years ago

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Answer:

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3 years ago