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DedPeter [7]
4 years ago
9

Ten less than five times a number is less than six times the number decreased by eight

Mathematics
1 answer:
Luden [163]4 years ago
4 0

10 - 5x < 6x - 8

We can treat this inequality like a normal algebraic equation.

<em><u>Add 5x to both sides</u></em>

10 < 11x - 8

<em><u>Add 8 to both sides</u></em>

18 < 11x

<em><u>Divide both sides by 11</u></em>

1.64 < x

X is greater than the value 1.64.

Let's plug the number 2 into each value of x to verify.

10 - 5x < 6x - 8

10 - 5*2) < (6 * 2) - 8

10 - 10 < 12 - 8

0 < 4

It's correct.

Now let's plug 1, which is less than 1.64.

10 - 5x < 6x - 8

10 - 5 < 6 - 8

5 < -2

This is not correct, which means that our answer was correct.

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2 in.<br> 3 in.<br> 5 in.<br> 3 in.<br> 2 in.<br> 4 in.<br> 4 in.<br> Area
aalyn [17]

Answer:

2880 in. Squared i think

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A population of butterflies decreases exponentially at a rate of 18.3% per year.
Maru [420]
The population of butterflies decreases exponentially at a rate of 18.3% per year which equal to 18.3%  per 12 month. The exponent function will look like:
an=a0(1+r)^t

If you want to convert year into the month, it is like convert t into 12 t. The calculation would be:
a0(1+r1)^t = a0(1+r2)^12t
(1-0.183)^1 = (1+r2)^12
(0.817) = (1+r2)^12
\sqrt[12]{0.817} = (1+r2)^(12/12)
1+r2= 0.983298
r2= 0.98329-1= 0.01671= <span>1.67</span>%
3 0
4 years ago
125. Albert surveyed a class of 25 students on sports. 5 kids love baseball. 7 kids love basketball. 10 kids
MAXImum [283]

Answer:

3 students

Step-by-step explanation:

since the<em> </em>total number of students is 25,when you add those that like baseball, basketball and football the total number must be 25 but in this case it's 22 meaning 2 student liked neither.

7+5+10+x=25

x=25-22

=3

I hope this helps

4 0
4 years ago
Determine any data values that are missing from the table, assuming that the data represent a linear function.
Stells [14]

Answer:

Fill in the blank with 14

<em></em>

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (1,2)

(x_2,y_2) = (2,6)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{6 - 2}{2 - 1}

m = \frac{4}{1}

m=4

The equation of the table is calculated next as:

y - y_1 = m(x - x_1)

This becomes

y - 2 = 4(x - 1)

y - 2 = 4x - 4

Solve for y

y = 4x - 4+2

y = 4x -2

To fill in the blank;

The value of x is 4

So, substitute 4 for x in y = 4x -2

y = 4 * 4 - 2

y = 16 - 2

y = 14

7 0
3 years ago
What the answer to 66.15 ÷ 0.63
topjm [15]
66.15/0.63=105
The answer is 105.
4 0
4 years ago
Read 2 more answers
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