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rjkz [21]
3 years ago
6

Solve for a 6(a+3)=18+6a

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
Expand

(6a + 18 = 18 + 6a)

Cancel 6a on both sides

(18 = 18)

Since both sides are equal, there are infinitely many solutions.
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It’s going up 6 and right 4
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3 years ago
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Use the trend line for data in the scatter plot to make a prediction. about how many pounds were lost per month with 4 hours of
konstantin123 [22]

Given:

Scatter plot of weight loss plan.

To find:

how many pounds were lost per month with 4 hours of weekly.

Solution:

Take any two points on the trend line.

Let the points are (3, 4) and (5, 7).

Slope of the line:

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

$m=\frac{7-4}{5-3}

$m=\frac{3}{2}

m = 1.5

Using point-slope formula:

y-y_1=m(x-x_1)

y-4=1.5(x-3)

y-4=1.5x-4.5

Add 4 on both sides.

y=1.5x-0.5

Approximate equation of a line is y = 1.5x - 0.5

Substitute x = 4.

y = 1.5(4) - 0.5

y = 6 - 0.5

y = 5.5

Which is nearly equal to 6.

Also see in the scatter plot, y-value for the corresponding value of 4 in x-axis is 6.

Hence 6 pounds lost per month with 4 hours of weekly aerobic activity.

4 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20-%20%20%5Cfrac%7B5%7D%7B8%7D%20%20%2B%20%20%5Cfrac%7B1%7D%7B4%7D%20" id="TexFormula1" title
bagirrra123 [75]

Answer:

\large\boxed{-\dfrac{5}{8}+\dfrac{1}{4}=-\dfrac{3}{8}}

Step-by-step explanation:

-\dfrac{5}{8}+\dfrac{1}{4}=\dfrac{1}{4}+\left(-\dfrac{5}{8}\right)=\dfrac{1}{4}-\dfrac{5}{8}\\\\\text{find LCD:}\\\\8=2\cdot4,\ \text{therefore. LCD(4, 8) = 8}\\\\\dfrac{1}{4}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{2}{8}\\\\\text{continuing}\\\\=\dfrac{2}{8}-\dfrac{5}{8}=\dfrac{2-5}{8}=-\dfrac{3}{8}

4 0
3 years ago
Find two consecutive even whole numbers whose product is 288
asambeis [7]
Let's write an equation describing the problem.

Any even whole number may be represented by writing 2n in which n is any non-negative integer.

It follows that for a even whole number 2n the next (consecutive) even whole number can be written as 2(n+1).

We now need to solve the following equation:

2n*2(n+1)=288

If we solve for n we get:

n=-9 ,8

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3 years ago
Heather has her own bakery. She makes 4 pans of muffins each day. If her bakery is open 7 days a week, how many pans of muffins
OlgaM077 [116]

Answer:

28 pans of muffins per week

Step-by-step explanation:

To solve the above question, we know that:

1 day = 4 pans of muffins

7 days = x pans of muffins

Cross Multiply

1 day × x pans of muffins = 7 days × 4 pans of muffins

x = 28 pans of muffins

Since, 7 days = 1 week

Heather makes 28 pans of muffins per week

3 0
3 years ago
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