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lianna [129]
3 years ago
14

Solve the inequality. -2(w+4) +9<-11

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

Answer:

w>6

Step-by-step explanation:

1.) you will distribute the -2 into the parentheses.

-2w-8+9<-11

2.) combine like terms

-2w+1<-11

3.) isolate the variable

-2w<-12

4.) continue to isolate the variable

w>6

(the sign will flip because if the negative devision)

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To solve this problem, we need to first find the dimensions of the side of the blue and purple squares.

We're given that the purple (smaller) square has a side length of x inches.
We are also given that the blue band has a width of 5 inches.
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The net area of the band is therefore the difference of the area of the blue square and the purple square, namely take out the area of the purple square from the blue.

Therefore
Area of band
=(x+10)^2-x^2    [recall (a+b)^2=a^2+2ab+b^2
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8 0
3 years ago
A 27 1⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they would repave 2 1⁄4 miles of roa
Umnica [9.8K]

Answer:

The correct answer is 12 and a half or 13 weeks.

Step-by-step explanation:

First, convert the values to decimals.

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2 1/4 = 2.25

Then, divide miles of road that need to be repaved by the number of miles that are repaved per week.

27.5/2.25 = 12.2222222222222

Round that up to 12 and a half weeks or 13 weeks.

8 0
3 years ago
What is the value of x?<br> 21<br> 24<br> 32<br> 44
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Step-by-step explanation:

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3 0
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Read 2 more answers
Seiji and Gavin both worked hard over the summer. Together they earned a total of $450. Gavin earned $30 more than seiji.
jok3333 [9.3K]

Answer:

(a) s+g=450\\g=s+30

(b) The graph is shown below.

(c) Seiji earned $ 210 and Gavin earned $ 240.

Step-by-step explanation:

Given:

Sum of earnings of Seiji and Gavin = $ 450

Gavin earns $ 30 more that that of Seiji.

(a)

So, as per question, if s and g are the amounts earned by Seiji and Gavin respectively, then;

s+g=450\\g=s+30

(b)

The graph is plotted using the x and y intercepts of each line.

For the line, s+g=450, the x intercept is at g=0. So, x intercept is (450,0). Similarly, the y intercept is when s=0, which is (0,450). Draw a line passing through these two points. The red line represents s+g=450.

We follow the same process to plot the next line. The x intercept is at (-30,0) and y intercept is at (0,30). Draw a line passing through these two points. The blue line represents g=s+30.

The graph is shown below.

(c)

From the graph, the point of intersection of the two lines gives the earnings of each of the persons.

The x value of the point of intersection is the earning of Seiji which is $ 210 and the y value is the earning of Gavin which is $ 240 as shown in the graph.

Therefore, Seiji earned $ 210 and Gavin earned $ 240.

3 0
3 years ago
Find the area of a circle whose radius is 12 in. Round to the nearest 10
Ksivusya [100]

Answer:

Area = pi r²

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3 years ago
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