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3 years ago

Mr. Skinner has four dogs. He recorded the number of cups of dog food each dog ate over the same month.

1 answer:

5 0

So to find the answers for each of these, divide the first dog's amount mentioned by the second dog's amount mentioned. For instance, the first one would be 45 over 60, also equal to 3/4. So Bailey ate 3/4 cup for every cup fido ate. Repeat this same process with all the other questions and you can get the following answers:
Fido ate 1 1/3 cup for each cup Bailey ate.
Gunner ate 2 1/2 cups for each cup Spot ate.
Spot ate 2/5 cup for each cup Gunner ate.
Hope this helps!

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What would you do to solve the following inequality?x/-2 < -5

Luden [163]

Mathematics is not hard if u think its obvious

4 0

3 years ago

factor the polynomial completely and SHOW WORK i’ve been on it for the past 30 minutes and I want to cry 24x^3-78x^2+45x NO LINK

Svetllana [295]

9514 1404 393

Answer:

3(x)(4x -3)(2x -5)

Step-by-step explanation:

First of all, recognize that all coefficients are multiples of 3, and all terms have x as a common factor. This means your first factorization is ...

(3x)(8x^2 -26x +15)

Now, you can use the "X-method" or similar to factor the quadratic. Start by looking for factors of (8)(15) = 120 that have a total of -26. Both will be negative. Here is a list of the positive factor pairs.

120 = 1·120 = 2·60 = 3·40 = 4·30 = 5·24 = 6·20 = 8·15 = 10·12

The sums of these factor pairs are ...

121, 62, 43, 34, 29, 26, 23, 22

The pair with a sum of 26 is highlighted.

Using this information, you can complete the X-method diagram, or you can use these numbers to rewrite the quadratic x-term to have 2 parts:

8x^2 -20x -6x +15

Now, the quadratic can be factored by grouping:

= (8x^2 -20x) +(-6x +15)

= 4x(2x -5) +3(-2x +5)

Recognizing the sign difference between the parentheses contents, we can factor the quadratic to be ...

= (4x -3)(2x -5) . . . . . note the sign gets attached to the 3

So, the complete factorization of the original expression is ...

24x^3-78x^2+45x = 3(x)(4x -3)(2x -5)

3 0

3 years ago

A triangle has a base of 14 inches and<br> a height of 11 inches. Find the area.

DanielleElmas [232]

Answer:

Step-by-step explanation:

area triangle=half*base*height

14*11/2

154/2=77

7 0

3 years ago

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

4 years ago

Which equation represents the line that passes through the points (1,3) and (-2,5)

Paha777 [63]

Answer:

y= -2/3x+11/3

Step-by-step explanation:

5 0

3 years ago