Solve the inequality for x 20x > 8(4x - 5) - 20

Mathematics

2 answers:

Dmitriy789 [7]3 years ago

6 0

Answer:

its -5 not five

Step-by-step explanation:

UNO [17]3 years ago

4 0

Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.

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nekit [7.7K]

Answer:

234

Step-by-step explanation:

We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.

We can use the summation formula:

$S=\frac{(a_1+a_n)*n}{2}$ , where a1 is the first term, $a_n$ is the last term, and n is the number of terms

Here, we can say the first term occurs when n = 2:

-4 + 5n

-4 + 5 * 2 = -4 + 10 = 6

The last term will be when n = 10:

-4 + 5n

-4 + 5 * 10 = -4 + 50 = 46

The number of terms is just 10 - 2 + 1 = 9 terms.

Substitute these in:

$S=\frac{(a_1+a_n)*n}{2}$

$S=\frac{(6+46)*9}{2}=\frac{468}{2} =234$

Thus, the answer is 234.

8 0

3 years ago

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be $\frac{7-0}{2-0} =3.5$ minutes per mile. (Answer)