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If Josh spent $40.91 and mulch cost $2.75 per bag, how much was a bag of potting soil?

Butoxors [25]

One bag of potting soil is $14.87

6 0

3 years ago

Read 2 more answers

Log3(X-5)+log3(x+3)=2

liubo4ka [24]

LnA +LnB= LnA.B
so we get <span>Log3(X-5)+log3(x+3)=Ln3(x-5)(x+3)=2 implies
</span>(x-5)(x+3)=2^3=8, so we can solve easily the quadratic equation
x^2-2x-23=0, there are two solution x=1 -sqrt(24), and x=1+sqrt(24)

4 0

3 years ago

What are 3 ways that have the same value as 75% of 96

stealth61 [152]

Step-by-step explanation:

The three ways by which we can find the 75% of 96 -

1 ) Simply multiply and extract 75% of 96 as follows -

= 75/100 * 96

= 72

2) We can write 75% as 3/4 of the total so if we multiply 3/4 with 96 we

will get 75% of 96

= 3/4 * 96

= 72

3) We can also get 75% of 96 by taking out the 1/4 rd of 96 and subtracting

from 96 we get 75% of 96

= 96 - (1/4 * 96)

= 96 - 24

= 72

4 0

4 years ago

Find the slope between these two points:<br> (-5, 8), (-5,-9)

Elena L [17]

Answer:

The slope is undefined.

Step-by-step explanation:

The slope of a line is its relationship between its change in verticalness and its change in horizontalness. In layman's terms, we call it rise over run. Slope can be useful for many things: to show how steep a line is, to write a line in slope-intercept form (y = mx + b), etc.

Recall that a line only needs two points to be formed. That's why slope matters so much. With lines, we only care about its steepness and its position on the coordinate plane, so slope knocks out one of those criteria.

One way to find slope is to use the definition of slope, the change in verticalness (y) divided by the change in horizontalness (x):

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

where m is the slope of the line;

and x1, y1, x2, and y2 are coordinates for points (x1, y1) and (x2, y2).

So let's use what we now know to solve the problem.

Since (-5,8) and (-5,9) are two points, they can form a line. So I can say that x1 = -5, y1 = 8, x2 = 5, and y2 = 9. Now, let's plug these numbers into the formula.

$m=\frac{-9-8}{-5-(-5)}$

$m = \frac{-17}{0}$

"Wait, what's going on? I thought I can't divide by 0." - You

Yes, exactly. But what we have here is a special case of a line, nothing more. Let me explain.

Lines don't always have a natural number for a slope, like m = 1. There are two special lines that deviate from the norm: horizontal lines and vertical lines.

Horizontal lines have a slope of zero. This is because they change in x, but not in y. So y appears as 0 in the formula: 0/x = 0. That's why horizontal lines have a slope of zero. They are usually written as y = C where C is some constant.

Vertical lines have an undefined slope. We're dealing with this type of line for our problem. They change in y, but not in x. So x appears as 0 in the formula: y/0 = undefined. We simply cannot divide by zero. That's why vertical lines have undefined slopes. They are usually written as x = C where C is some constant.

So there you go. (-5, 8) and (-5, -9) form a vertical line that has an undefined slope. And if you really want to know the equation for this line, it's x = -5.

6 0

2 years ago

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-br

Ksju [112]

The question is incomplete. The complete question is :

One of the products produced by Branco Food Company is All-Bran Cereal, which competes with three other brands of similar all-bran cereals. The company's research office wants to investigate if the percentage of people who consume all-bran cereal is the same for each of these four brands. Let us denote the four brands of cereal by A B C and D. A sample of 900 persons who consume all-bran cereal was taken, and they were asked which brand they most often consume. Of the respondents, 201 said they usually consume Brand A, 224 consume Brand B, 299 consume Brand C, and 176 consume Brand D. Does the sample provide enough evidence to reject the null hypothesis that the percentage of people who consume all-bran cereal is the same for all four brands? Use alpha = 0.025. Find the value of the test statistic x^2. x^2 = the tolerance is +/-2% Using alpha = 0.025, can you conclude that the current percentage distribution is different from the hypothesized one? We conclude that the current percentage distribution from the hypothesized one.

Solution :

A B C D Total

$o_i$ 201 224 299 176 900