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alisha [4.7K]
2 years ago
8

Why is the quotient of three divided by one-fifth different from the quotient of one-fifth divided by three? Tell a story that c

ould describe each situation.
Mathematics
1 answer:
miskamm [114]2 years ago
7 0

Answer:

These quotients are different because of what division means.

Step-by-step explanation:

When you divide you start with a total and break it into equal groups. If you started with three and broke them into groups of 1/5, that is different then starting with 1/5 and breaking into three groups.

If you had 3 cups of Chex mix and made servings of 1/5 of a cup. How many servings could you get? This is 3 divided by 1/5.

If you want to put tomatoes in 1/5 of your garden and you have 3 different tomatoes you want to plant. What fraction of the original garden will each type of tomato be in if they are evenly distributed.

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The graph of f(x)=√x Is shifted four units up and five units to the right. What is the equation of the resulting graph?
RoseWind [281]

A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged. A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression.

Shifting up or to the right means add

Shifting down or to the left means subtract

the 3rd option is the correct one

7 0
2 years ago
Sally identified the terms of the expression 9a + 4b - 18 as 9, 4, and 18. Explain her error.
nordsb [41]

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

So the terms are 9a, 4b, and 18.

hope it helps!

3 0
3 years ago
Read 2 more answers
Need help with math problem give 5 star if do
kodGreya [7K]

Answer:

d

Step-by-step explanation:

In all the answer choices, the distance between 0 and 1 is 10.

4/10 = 0.4

The only line that proves this is line d.

Hope this helps!

3 0
2 years ago
Read 2 more answers
Integration: How would I get to this answer?
Scrat [10]
Given that y attains a maximum at x=1, it follows that y'=0 at that same point. So integrating once gives

\displaystyle\int\frac{\mathrm d^2y}{\mathrm dx^2}\,\mathrm dx=\int-8x\,\mathrm dx
\dfrac{\mathrm dy}{\mathrm dx}=-4x^2+C_1
\implies -4(1)^2+C_1=0\implies C_1=4

and so the first derivative is y'=-4x^2+4.

Integrating again, you get

\displaystyle\int\frac{\mathrm dy}{\mathrm dx}\,\mathrm dx=\int(-4x^2+4)\,\mathrm dx
y=-\dfrac43x^3+4x+C_2

You know that this curve passes through the point (2, -1), which means when x=2, you have y=-1:

-1=-\dfrac43(2)^3+4(2)+C_2
\implies C_2=\dfrac53

and so

y=-\dfrac43x^3+4x+\dfrac53
7 0
3 years ago
Kate reads books that were 240, 450, 240, 160, 165, 170, 180 pages long. What are the mean median and mode and which one describ
ser-zykov [4K]
Order set...{160,165,170,240,240,450}

The "mean" is the arithmetic average of the elements...

mean=(160+165+170+240+240+450)/6=237.5

The "median" if the set has an odd number of terms is the middle term, if the set has an even number of terms, it is the average of the middle two terms.

In this case the number of elements is even and the middle two terms are 170 and 240 so:

median=(170+240)/2=205

The "mode" is the term which appears the most in the set, so in this case:

mode=240
8 0
3 years ago
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