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2 years ago

Help on all 3 please

Mathematics

2 answers:

azamat2 years ago

8 0

2. |x|=-7
-x=-7. x=-7
x=7. x=-7

katrin [286]2 years ago

7 0

2.-7

3.-5

4.1.2

Hope this helps you out. I worked them out and got them checked.

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Inequalitys please help

mash [69]

4|y-9| > 36
Two equations:
4(y-9)>36 then y-9>8 then y>17
4(y-9)<-36 then y-9<-8 then y<1
So, the solution is y<1 or y>17

0.5|x+2| > 6
Two equations:
0.5(x+2) > 6 then 0.5x+1>6 then x>10
0.5(x+2) < -6 then 0.5x+1<-6 then x<-14
So, the solution is: x<-14 or x>10

3 0

2 years ago

Read 2 more answers

2. Twenty-four fourth graders are going on a field trip to the Academy of Science. They need to form 3 groups of students for th

Tatiana [17]

Answer:

8persons/group

Step-by-step explanation:

Give parameters:

Number fourth graders = 24

Number of groups = 3 groups

Unknown:

Number of students in each group = ?

Solution:

Solving this problem involves finding the number of persons per group.

Number of persons per group = $\frac{number of fourth graders}{number of groups}$

Insert the parameters and solve;

Number of persons per group = $\frac{24}{3}$ = 8persons/group

7 0

2 years ago

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m). A coach has drawn

vladimir2022 [97]

Answer:

Proportion states that the two equal ratios or fractions are equal.

Use conversion:

1 m = 100 cm

As per the statement:

The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m

⇒Actual length = 120 m and Actual width = 90 m

It is also given that:

A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.

⇒ Drawing length = 18 cm = 0.18 m

By definition of proportion:

$\frac{\text{Actual length}}{\text{Actual width}}=\frac{\text{Drawing length}}{\text{Drawing width}}$

Substitute the given values we have;

$\frac{120}{90}=\frac{0.18}{\text{Drawing width}}$

By cross multiply we have;

$120 \cdot \text{Drawing width} = 90 \cdot 0.18$

Simplify:

$120 \cdot \text{Drawing width} =16.2$

Divide both sides by 120 we get;

$\text{Drawing width} =0.135$ m

$\text{Drawing width} =13.5$ cm

Therefore, the other side of the drawing width is 13.5 cm

3 0

3 years ago

An item that was selling for 72.00 is reduced to 60.00. What is the percent decrease in the price?

Morgarella [4.7K]

16 2/3%. 72 minus 60 is 12, then 12/72 is .16666667, then move the decimal place two spots to the right, getting 16.66666667%, remembering that .66 repeating is in fact better represented as 2/3, so 16 2/3%

6 0

3 years ago

In a heptagon, the sum of the measures of 4 of the angles is 478 degrees. What is the sum of the measures of the other 3 angles?

LuckyWell [14K]

Given that the heptagon has a interior angles sum of 900, the 3 angles is 900 - 478 = 422 degree.

5 0

2 years ago