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Bezzdna [24]
2 years ago
10

Solve the inequality 5(2x+8)<60

Mathematics
2 answers:
Romashka [77]2 years ago
5 0

Answer:

x < 2

Step-by-step explanation:

5(2x + 8) < 60 ( divide both sides by 5 )

2x + 8 < 12 ( subtract 8 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

Temka [501]2 years ago
5 0

Answer:

\huge\boxed{\bf\:x < 2}

Step-by-step explanation:

5(2x + 8) < 60

Multiply 5 by 2x & 8 in the right hand side of the inequality .

5(2x+8) < 60\\(5*2x) + (5*8) < 60\\10x + 40 < 60\\

Bring 40 to the other side of the inequality .

10x + 40 < 60\\10x < 60 - 40\\10x < 20

Bring 10 to the left side of the inequality .

10x < 20\\x < 20\div10\\\boxed{\bf\:x < 2}

\rule{150pt}{2pt}

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Which graph has a slope of 4/5
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Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

4 0
3 years ago
What is the least common denominator of 5/6 and 3/4?
ololo11 [35]
This lcd is also twelve
5 0
3 years ago
A line passes through the points (–3, –4) and (6, 2). What number is the x-intercept?
LuckyWell [14K]

Answer:

<h2>D. 3</h2>

Step-by-step explanation:

\bold{METHOD\ 1}

\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{x-intercept:}\ (x,\ 0).\\\\\text{Susbtitute the coordinates of the points to the formula of a slope}\\\\(-3,\ -4),\ (6,\ 2),\ (x,\ 0):\\\\m=\dfrac{2-(-4)}{6-(-3)}=\dfrac{2+4}{6+3}=\dfrac{6}{9}=\dfrac{6:3}{9:3}=\dfrac{2}{3}\\\\m=\dfrac{0-2}{x-6}=\dfrac{-2}{x-6}\\\\\text{Therefore we have the equation:}\\\\\dfrac{-2}{x-6}=\dfrac{2}{3}\qquad\text{cross multiply}\\\\2(x-6)=(-2)(3)\\\\2(x-6)=-6\qquad\text{divide both sides by 2}\\\\x-6=-3\qquad\text{add 6 to both sides}\\\\x=3

\bold{METHOD\ 2}\\\\\text{Look at the picture.}

Mark points in the coordinate system.

Lead a line through these points.

Read x-intercept.

5 0
3 years ago
Read 2 more answers
Yasmine has 4 containers of 4 different colors of flowers to plant. She had 1/3 of each color left over when she was done planti
olga2289 [7]

Answer:

2\frac{2}{3}

Step-by-step explanation:

Given the information

  • 4 containers of 4 different colors
  • 1/3 of each color left over
  • She had planted more than 2 1/2 of the original 4 containers

=> Total color were left = 1/3 x 4 = 4/3 of the original containers

=> Total color  were planted = (1 - 1/3) x 4 = 2/3 x 4 = 8/3 of the original containers

However,  8/3 = 2\frac{2}{3}  > 2\frac{1}{2}  

So she is true, hence, the fractions to determine the total amount of containers of flowers she planted is:  2\frac{2}{3}

Hope it will find you well

7 0
3 years ago
A Ferris wheel has a radius of 80 feet. Two particular cars are located such that the central angle between them is 165º. To the
Alex

Answer: 230.4 feet

Step-by-step explanation:

arc length = circumfrance x fraction of a circle

                 = 2\pi r x \frac{165}{360}

                 = \frac{2*\pi *80*165  }{360}

                 = 230.4 feet to nearest tenth

7 0
2 years ago
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