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Serjik [45]
3 years ago
9

Solve the inequality.

Mathematics
1 answer:
xenn [34]3 years ago
8 0

Answer:

x < -24(option

Step-by-step explanation:

-¼x - 12 > -6

Add 12 to both sides

-¼x - 12+12 > -6+12

-¼x > 6

Divide both sides by -¼

x < 6 ÷ -¼

Please note that the inequality sign changes when divided by negative (minus). This is a rule in inequalities.

x < 6 × -4

x < -24

I hope this was helpful, please mark as brainliest

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There are 100 teachers in a school. 60 teach science, 25 teach humanities, 15 teach both science and humanities. Find the number
UkoKoshka [18]

Answer:

15

Step-by-step explanation:

The total number of teachers in the school is 100.

The number who teach Science is 60

The who teach humanities is 25.

The number that teach both humanities and Science is 15.

We want to find the number who teach Science but not Humanities.

We obtain this by subtracting the number of teachers who teach both subjects from the number that teach Science.

= 60 - 15 = 45

Therefore 25 teaches science but not Humanities

8 0
3 years ago
City planners are planning to build a new community park. They agree that the park will be rectangular in shape, but the propose
podryga [215]

Answer:

  (c)  714.96 = 21.6(w +4.7)

Step-by-step explanation:

The area of the rectangular park will be the product of its length and width. This relation is used to write an equation to find the original width of the park.

<h3>Width</h3>

Let w represent the original width of the park in meters. The new width is 4.7 meters more, so is represented by (w +4.7).

<h3>Other dimensions</h3>

The length of the park is given as 21.6 meters. The area is given as 714.96 square meters.

<h3>Area formula</h3>

The various dimensions of the park are related by the area formula:

  A = LW

  714.96 = 21.6(w +4.7)

4 0
2 years ago
In ΔLMN, the measure of ∠N=90°, NL = 6. 8 feet, and LM = 9. 4 feet. Find the measure of ∠L to the nearest tenth of a degree.
egoroff_w [7]

Answer:

Step-by-step explanation:
The above is a right angled triangle
So you take the longest side
9.4^2 - 6.8^2
88.36- 46.24
sqrt of 42.12
6.4899

To the nearest tenth of a degree = 6.56.5ft



5 0
2 years ago
You have been asked to build a scale model of a restaurant out of bottle caps. The restaurant is 20 feet tall. Your scale is 2.4
Amanda [17]

Answer:

40\ bottle\ caps

Step-by-step explanation:

we know that

The scale is \frac{2.4}{1}\ \frac{cm}{ft}

That means

2.4 cm in the model represent 1 foot in the real

In this problem

The restaurant is 20 feet tall

Find the height of the model

Multiply the actual height of the restaurant by the scale 2.4

20\ ft=20(2.4)=48\ cm

A bottle cap is 1.2 cm tall

To find out the number of bottle caps divide the height of the model by 1.2

\frac{48}{1.2}= 40\ bottle\ caps

8 0
3 years ago
Which of the following describes the transformation from Figure 1 to Figure 2?
Mrrafil [7]

9514 1404 393

Answer:

  Rotation 90° CCW

Step-by-step explanation:

Note that Figure 1 has a small appendage off the larger rectangle. That appendage is pointing East (to the right).

In Figure 2, that same appendage is pointing North (up).

If you are facing East and you want to face North, you will find that you need to turn 90° in the counterclockwise direction. That is the transformation that was done here:

  rotation 90° CCW about the origin

3 0
3 years ago
Read 2 more answers
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