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3 years ago

Find the solution set of the inequality

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer: x>- 7/3

Step-by-step explanation:

Solve for x by simplifying bot sides of the equation, then isolating the variable.

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Can someone explain this step by step please

kobusy [5.1K]

Answer:

x = - 2

y = 6

Step-by-step explanation:

The best way to do this is to put - 3x in for y in the second equation.

4x - 2(-3x) = - 20 Watch the signs. You have 2 minus signs.

4x - - 6x = -20 Change - - 6x to 6x

4x + 6x = - 20 Add

10x = - 20 Divide by 10

x = -20/10

x = - 2

============================

Find y

y = - 3x

y = -3 * -2

y = 6

3 0

2 years ago

A runner completed a 26.2-mile marathon in 210 minutes. a. Estimate the unit rate, in miles per minute. Round your answer to the

ivanzaharov [21]

Answer:

Unit rate by which the runner completed the marathon is 0.13 miles per minute.

Step-by-step explanation:

A runner competed a marathon of 26.2 miles in 210 minutes.

we can get unit rate by unitary method.

∵ In 210 minutes a runner completes the distance = 26.2 miles

∴ In 1 minute runner will complete the distance = $\frac{26.2}{210}$

= 0.125 miles per minute

≈ 0.13 miles per minute

Therefore, unit rate by which the runner completed the marathon is 0.13 miles per minute.

6 0

2 years ago

Jill and Ben have the same pens Jill has 3 full boxes of pen and 2 loose pens Ben has 2 full boxes of pen and 14 loose pens how

defon

Let x be the number of pens in a box.

Jill : three full boxes of pen and 2 loose pens. 3x + 2
Ben: two full boxes of pen and 14 loose pens. 2x + 14

Jill and Ben have the same pens.
Jill = Ben
3x+2 = 2x + 14
3x - 2x = 14 - 2
1x = 12
x = 12

To check:
Jill    =   Ben
3x + 2    =   2(x) + 14
3(12) + 2 =   2(12) + 14
36 + 2 =   24 + 14
38 = 38

There are 12 pens or a dozen of pens in a full box.

8 0

2 years ago

You open a bank account with $100 and deposit 15 every week. Create an equation to model the total amount of money,y, in dollars

Charra [1.4K]

Answer:

$Y = 15x+ 100$

x = 10 months

Step-by-step explanation:

Given:

Initial deposit = $100

Weakly deposit = $15

Solution:

We need to create an equation where total amount is y is equal to initial deposit plus multiplication of weakly deposit and month x, so the equation is written as.

$Y = 15x+ 100$ ---------(1)

Where:

Y = Total amount

x = Number of months.

Second thing we need to find the month for y = $250

Now, we substitute y = 250 in equation 1.

$250 = 15x+ 100$