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svetlana [45]
3 years ago
6

Solve each inequality x+1>-5(7-2x)

Mathematics
1 answer:
Natalka [10]3 years ago
3 0

x+1 > -5(7-2x)\ \ \ \ |\text{use distributive property}\\\\x+1 > (-5)(7)+(-5)(-2x)\\\\x+1 > -35+10x\ \ \ \ |-1\\\\x > -36+10x\ \ \ \ |-10x\\\\-9x > -36\ \ \ \ |\text{change the signs}\\\\9x < 36\ \ \ \ |:9\\\\\boxed{x < 9}\to x\in(-\infty,\ 9)

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Cd + ed = m solve for d
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Answer:

677

Step-by-step explanation:

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Se considera progresia geometrica incare termenul al doilea este 8 si termenul al patrulea este 32. Calculati termenul al sasele
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4 0
3 years ago
The actual length of Lake Superior is 350 miles and the width is 160 miles. What's the length and width of the lake on a map if
pentagon [3]

The correct option is:   B.  length: 14 cm, width: 6.4 cm

<em><u>Explanation</u></em>

The actual length of Lake Superior is 350 miles and the width is 160 miles.

The scale is given as:  1 cm = 25 miles

Suppose, the length and width of the lake on the map are  x cm and y cm respectively.

First, the equation according to the <u>ratio of scaled length to the actual length</u> will be....

\frac{x}{350}=\frac{1}{25}\\ \\ 25x=350\\ \\ x=\frac{350}{25}=14

Now, the equation according to the <u>ratio of scaled width to the actual width</u> will be....

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7 0
3 years ago
Determine the x and y intercepts
kakasveta [241]
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)

Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
5 0
3 years ago
Nathan earns $1500 a week. Calculate his new weekly wage if he receives a pay rise of 20%
bazaltina [42]

Answer:

$1800

Step-by-step explanation:

1. Approanch

An easy way to calculate one's salary after they recive a raise is to, convert the percent that one's salary is increased into a decimal; divide the percent by 100. Then multiply the increase as a decimal by the original salary, to attain the amount the salary is raised by. Finally add the amount the salary is raised by to the original salary to find the new salary. A quicker way to do this is to convert the percent by the salary is increased into a decimal. Then add 1 to that number. Finally one will multiply that number by the original slary and get the new salary.

2. Solving

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Raise; 20%

<u>a. convert the raise as a percent into a decimal, then add 1</u>

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0.2 + 1 = 1.2

<u>b. multiply the number by the original salary</u>

1.2 * 1500

1800

8 0
3 years ago
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