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2 years ago

Solve 7x + 4 = 5x + 8 + 2x - 10

2 answers:

6 0

7x + 4 = 5x + 8 + 2x - 10

7x + 4 = 7x + 8 - 10

7x + 4 = 7x - 2 (cancel out equal terms here)

4 = -2

ANSWER: no solution

ladessa [460]2 years ago

3 0

So, 7x + 4 = 10x - 2;

Then, 4 + 2 = 10x - 7x;

6 = 3x;

x = 6 ÷ 3;

x = 2.

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2 years ago

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2 years ago

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The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

andre [41]

Answer:

657 pounds

Step-by-step explanation:

Given

Represent the amount of fertilizer with x and the yield with y.

So, we have:

$(x_1,y_1) = (70,630)$

$(x_2,y_2) = (100,900)$

Required:

Determine the yield (y) when fertilizer (x) is 73ft^3

Using linear interpolation, we have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

Substitute the x and y values using

$(x_1,y_1) = (70,630)$ and $(x_2,y_2) = (100,900)$ ;

We have:

$y = y_1 + (x - x_1)\frac{(y_2 - y_1)}{(x_2 - x_1)}$

$y = 630 + (x - 70)\frac{(900 - 630)}{(100 - 70)}$

$y = 630 + (x - 70)\frac{270}{30}$

$y = 630 + (x - 70)*9$

Open bracket

$y = 630 + 9x - 630$

$y = 9x - 630+630$

$y = 9x$

To solve for y when x = 73.

We simply substitute 73 for x

$y = 9x$

$y = 9 * 73$

$y = 657$

<em>Hence, the yield for 73 cubic feet is 657 pounds</em>

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2 years ago

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

s344n2d4d5 [400]

The statement; Approximately 120 families turned on their televisions for less than 37 hours is true.

<h3>What is true about the data?</h3>

From the task content, since the 10% percentile of the data corresponds to 24 families, it.follws that the total number of families sampled is; 24 × 10 = 240 families.

On this note, after the first 120 data points, the median is determined to be 33.2 hours which is less than the mean. Conclusively, it follows that approximately 120 families turned on their televisions for less than 37 hours.

Hence, the statement is true.