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sweet [91]
3 years ago
7

The ratio of Max’s rice to Victor’s rice to Roman’s rice is 3:2:4. If Victor gives ¼ of his rice to Roman, what will be the rati

o of Max’s rice to Victor’s rice to Roman’s rice?
Mathematics
1 answer:
Natali [406]3 years ago
5 0

Answer:

Max: Victor:  Roman

6:         3:        :9

Step-by-step explanation:

Max: Victor:  Roman

3      : 2     :  4


Take away 1/4 of 2

1/4 of 2 =

1/4*2 = 1/2

2-1/2 =

4/2 - 1/2 = 3/2

Victor now has 3/2


Roman gets 1/2  so he has

4+ 1/2

8/2 + 1/2 = 9/2


Max: Victor:  Roman

3      : 3/2     :  9/2

But we normally don't leave fractions in the ratio's

Multiply each number by 2  (the ratio won't change)

3*2   :  3/2*2   : 9*2

6:         3:        :9

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Which of the following equations has the same solutions as the equation 3x + 2y = -12? Check all that apply.
Mariulka [41]

Answer:

B.\ -3x - 2y = 12

C.\ 15x + 10y = -60

E.\ 6x + 4y = -24

F.\ 1.5x + y =-6

Step-by-step explanation:

Given

3x + 2y = -12

Required

Determine equations with same solution as 3x + 2y = -12

For a solution to have the same solution as 3x + 2y = -12, the equation must be expressed as 3x + 2y = -12

A.\ 3x - 2y = 12

This can not be expressed as 3x + 2y = -12

B.\ -3x - 2y = 12

Multiply through by -1

-1(-3x - 2y) = 12 * -1

3x + 2y = -12

This has the same solution as the given equation

C.\ 15x + 10y = -60

Divide through by 5

\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}

3x + 2y = -12

This has the same solution as the given equation

D.\ 6x + 2y = -12

Divide through by 2

\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}

3x + y = -6

This can not be expressed as 3x + 2y = -12

E.\ 6x + 4y = -24

Divide through by 2

\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}

3x + 2y = -12

This has the same solution as the given equation

F.\ 1.5x + y =-6

Multiply through by 2

2*1.5x + 2*y =-6*2

3x + 2y =-12

This has the same solution as the given equation

G.\ x + \frac{2}{3}y = -12

Multiply through by 3

3 * x + 3*\frac{2}{3}y = -12*3

3x + 2y = -36

This can not be expressed as 3x + 2y = -12

The equations with the same solution as 3x + 2y = -12 are the ones that we were able to expressed as 3x + 2y = -12.

And the equations are:

B.\ -3x - 2y = 12

C.\ 15x + 10y = -60

E.\ 6x + 4y = -24

F.\ 1.5x + y =-6

7 0
3 years ago
Graph the function f(x)= 5x^5 + 4x^4 - 4x^3 - 7x^2 +6 by making a table of values.
aleksandr82 [10.1K]

Answer:

You can see the graph in the attached file.

Step-by-step explanation:

You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.

For  example choose the value x = 0, then you can calculate the value of y:

f(x) = 5x^{5}  +4x^{4}  - 4x^{3}  -7x^{2} +6

f(0) = 5(0)^{5}  +4(0)^{4}  - 4(0)^{3}  -7(0)^{2} +6

f(0) = 6

Then when x = 0, y = 6

The coordinates for the graph (x, y) = (0, 6)

For the table choose different values, include: zero, negative and positive numbers.

x y

x = f(x)=

-20 -15330794

-15 -3582444

-10 -456694

-5 -12794

-1 2

0 6

1 4

5 17456

10 535306

15 3984306

20 16605206

Review the attached excel file, there you will see the table and how to do the calculations in the cell.

Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.

Also you can see the graph in the file.

Download xlsx
6 0
3 years ago
How many 2/3 ounce portions of chocolate can Anna get from the 42/3 ounces of chocolate she bought at Union Market?
Lelechka [254]
She can get 21 portions. Since 2/3 and 42/3 already share the same denominator, all you need to do is divide 42 by 2 to get 21.
6 0
4 years ago
Can someone please help me with my homework?
Aneli [31]

Answer: The answers are: markup, sales tax, 20% tip and gratuities

Step-by-step explanation: All of them increase the price.

5 0
3 years ago
Read 2 more answers
PLEASE HELP
lubasha [3.4K]

Answer:

9 cups of sugar

Step-by-step explanation:

Since 2*3=6 (dozens of muffins), 3*3=9 (cups of sugar)will be the answer

6 0
3 years ago
Read 2 more answers
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