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3 years ago

0.9(x+1.4)-23+0.1x=1.6

1 answer:

6 0

<span>Simplifying 0.9(x + 1.4) + -2.3 + 0.1x = 1.6 Reorder the terms: 0.9(1.4 + x) + -2.3 + 0.1x = 1.6 (1.4 * 0.9 + x * 0.9) + -2.3 + 0.1x = 1.6 (1.26 + 0.9x) + -2.3 + 0.1x = 1.6 Reorder the terms: 1.26 + -2.3 + 0.9x + 0.1x = 1.6 Combine like terms: 1.26 + -2.3 = -1.04 -1.04 + 0.9x + 0.1x = 1.6 Combine like terms: 0.9x + 0.1x = 1x -1.04 + 1x = 1.6 Solving -1.04 + 1x = 1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.04' to each side of the equation. -1.04 + 1.04 + 1x = 1.6 + 1.04 Combine like terms: -1.04 + 1.04 = 0.00 0.00 + 1x = 1.6 + 1.04 1x = 1.6 + 1.04 Combine like terms: 1.6 + 1.04 = 2.64 1x = 2.64 Divide each side by '1'. x = 2.64 Simplifying x = 2.64</span>

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Which ordered pair is a solution of the equation y = 3x+5

Daniel [21]

Answer:

All you have to do is insert the first value where the x is, and the second value where the y is.

y = 3x + 5

11 = 3(2) + 5

11 = 6 + 5

11 = 11

So, this is right.

Now, let's check (3,13)

y = 3x + 5

13 = 3(3) + 5

13 = 9 + 5

13 = 14

This is NOT true. So, your answer is: Only (2,11)

Hope this helps!

7 0

3 years ago

You invested money in two funds. Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you receiv

pishuonlain [190]

Answer: $7800 was invested at 9%

$5900 was invested at 3%

Step-by-step explanation:

Let x represent the amount invested in the fund that paid a dividend of 9%.

Let y represent the amount invested in the fund that paid a dividend of 3%.

Last year, the first fund paid a dividend of 9% and the second a dividend of 3%, and you received a total of $879. This means that

0.09x + 0.03y = 879- - - - - - - - - 1

This year, the first fund paid a 10% dividend and the second only 1%, and you received a total of $839. It means that

0.1x + 0.01y = 839 - - - - - - - - - -2

Multiplying equation 1 by 0.1 and equation 2 by 0.09, it becomes

0.009x + 0.003y = 87.9

0.009x + 0.0009y = 75.51

Subtracting, it becomes

0.0021y = 12.39

y = 12.39/0.0021

y = 5900

Substituting y = 5900 into equation 1, it becomes

0.09x + 0.03 × 5900 = 879

0.09x + 177 = 879

0.09x = 879 - 177

0.09x = 702

x = 702/0.09

x = 7800

4 0

3 years ago

Jan spends part of her year as a member of a gym. She then finds a better deal at another gym, so she cancels her membership wit

fiasKO [112]

Yeah so she spent half they year at the first one more than likely

8 0

3 years ago

Find the lengths of the segments with variable expressions.

Luba_88 [7]

Answer:

Step-by-step explanation:

By the trapezoid midsegment theorem,

2x = (x-6) + (2x-8)

2x = x - 6 + 2x - 8

2x = 3x - 14

x = 14

So we know AD = 8, EF = 14, and BC = 20

8 0

2 years ago

Complete the following two-way frequency table.

Lera25 [3.4K]

Answer:

Step-by-step explanation:

Number of candies with Forest = 12

Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3

Candies which do not contain coconut but contain the chocolate = 6

Candies which contain the coconut but do not contain the chocolate = 1

Candies which neither contain the chocolate nor coconut = 2

From the given Venn diagram,

Contain coconut Do not contain coconut

Contain chocolate 3 6

Do not contain chocolate 1 2

6 0

3 years ago