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Orlov [11]
2 years ago
7

Y-1/4x=-1 y-2=4x one solution, no solution or infinite solution?

Mathematics
1 answer:
alexandr1967 [171]2 years ago
7 0

Answer:

One solution

Step-by-step explanation:

To start, let's simplify the equations to slope-intercept form

y - 1/4x = =1

  +1/4x     +1/4x

y           = 1/4x - 1

y - 2 = 4x

  +2          +2

y       = 4x + 2

As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.

Feel free to ask me any questions in the comments! :D

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A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4
vovikov84 [41]

Answer:

18

Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple.  When increasing things proportionally you basically multiply everything by the same number.  A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B.  Well, what if you made the recipe twice?  that would be 20 things from 2 of A and 4 of B.  This is the same as changing the recipe to make double.  It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples.  We want to know how much we changed it by, then that much is how much the total number of muffins changes.  So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups.  We want to know what to multiiply by to do this.  So we set up a simple algebraic equation.

(3/4)x = 9/8

where x is what we multiply by.  Now, to do this you could do one step, divide by 3/4 or you could do it in two steps, multiply both sides by 4 then divide by 3.  Or the other way around.  Either way you will get the same number.

(3/4)x = 9/8

3x = 9/2

x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay!  If you don't gt fraction multiplication let me know.  But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

4 0
3 years ago
Read 2 more answers
What is 3 ( y + 10 ) in distributive property
olga2289 [7]

Answer:

Distributive Property: a(b+c) = ab+ac

3(y + 10) = \boxed{3y + 30}✓

<em><u>(3y+30)</u></em> is the right answer.

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2 years ago
A wildlife reserve has a population of 70 elephants. A group of researchers trapped 30 elephants and recorded their vital statis
kramer
This is like the most obvious question I don’t even need math just think there are 70 elephants in all. I can eliminate all answers that are more than 70 no how many have we eliminated? Oh wait 3/4 sooooo yea it’s A.
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3 years ago
Choose the correct description of each system of equations.<br> 4x – 2y = -6<br> 2x - y = 8
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The explanation is that all I can say is that what I chose is the definition of the statements


Mark brainliest please
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2 years ago
Hot Chocolate Sales and Outside Temperatures
jeka94

Hot Chocolate Sales and Outside Temperatures:

(A) The scatter plot  is shown below.
(B) The anomaly is located at (189, 16°F).
(C) A negative correlation exists.
(D) Sales are the dependent variable, and temperature is the independent variable.

What is Temperature?

The physical concept of temperature indicates in numerical form how hot or cold something is. A thermometer is used to determine temperature. Thermometers are calibrated using a variety of temperature scales, which historically defined various reference points and thermometric substances.

The following information is provided for hot chocolate sales and outside temperatures:

(Y) Sales    Temperature (X)
100                       92
213                       88
830                      54
679                      62
209                      85
189                       16
1110                       52
456                      65
422                      68
235                      89
199                      91

(A)
Attached below is the scatter plot.

(B)
A cluster is a group of points or values gathered in one location.
A cluster of three values between the temperatures of 80°F and 100°F may be seen on the scatter plot.
A value that differs significantly from the other values in a data set is referred to as an outlier. Either it's too little or it's too big.
In the given data collection, there is an outlier.
The anomalous value is (189, 16°F).

(C)
The scatter plot's points have a decreasing slope.
This suggests that the variables temperature and sales have a bad relationship.
There is a bad association as a result.

(D)
Dependent variables are variables that are being studied, or being kept an eye on for any changes while the other variables in the model are altered.
The variables that are changed to cause the dependent variable to vary proportionately are known as independent variables.
According to the outside temperature, the data in this case shows the sales of hot chocolate.
Sales are therefore the dependent variable, and temperature is the independent variable.
This is due to an increase in hot chocolate sales as the temperature drops.

To learn more about Temperature click on the link

brainly.com/question/24746268

#SPJ1

7 0
1 year ago
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