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yulyashka [42]
3 years ago
8

Please answer 5x < 10?

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0

Answer: x < 2

Step-by-step explanation: Since <em>x</em> is being multiplied by 5, we divide by 5 on both sides of the inequality to get <em>x < 2</em>.

Natalka [10]3 years ago
7 0

Answer:

<h2>x < 2</h2>

Step-by-step explanation:

Solving inequalities is easy, you just need to follow the standard rules of algebra. Also, when multiplying or dividing by a negative number, the inequality sign is reversed.

Step 1: Divide by 5

x < 2

Step 2: Check

5(1) < 10

5 < 10✔️

Step 3: Check Again

Since an inequality has multiple solutions, it is important to check at least 2, to determine if the entire range of solutions is true.

5(-6) < 10

-30 < 10✔️

Step 4: Verified Answer

x < 2

I'm always happy to help :)

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Write the slip-intercept form of the equation of the line described
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Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
Four friends plan to rent a car to go on a camping trip. They will drive a total of 450 miles. The cost of gasoline is​ $2.20 pe
Vlada [557]

Answer:

t = (m / g) * p

Step-by-step explanation:

Since we are given a variable for every part of the equation that we need we can go ahead and create the following equation where t equals the total cost

t = (m / g) * p

In this equation, we need to first divide the total number of miles by the number of miles that the car gets per gallon. This would give us the total number of gallons that the car would use during the entire trip. We then multiply the number of gallons by the price per gallon to get the final cost of the entire trip.

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3 years ago
A packing box is being filled with packing peanuts. The box measures 1 1/2 feet by 1 1/2 feet by 2 feet. How many cubic feet of
Stolb23 [73]

Answer:4.5\ ft^3

Step-by-step explanation:

Given

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Breadth B=1\frac{1}{2}=\frac{3}{2}\ ft

height H=2\ ft

Volume of Cuboid=L\times B\times H

Volume of Packaging box V=\frac{3}{2}\times \frac{3}{2}\times 2

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How much does the 6 cats weights in pounds.
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