A line passes through the point (4, –2) and has a slope of 1/2What is the value of a if the point (–4, a) is also on the line?
a. –6
b. –5
c. 5
d. 6

Answers

Answer 1

Answer:

the answer is -6 your welcome

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The graph shows the relationship between the time in minutes, x, and the number of gallons of water, y, being pumped into a pool.a. explain what each of the following coordinates means in terms of the time and the number of gallons of water: (0,0), (1,5), and (6,30). What is the unit rate? How do you know?

b. Write an equation that can be used to find the number of gallons of water, y, in the pool at any time, x. Identify the constant of proportionality in the equation.

Thank u!

Answers

a. The coordinates (0, 0), (1, 5), and (6, 30) represent the initial state, the unit rate of 5 gallons per minute, and the cumulative gallons added, respectively.

b. The equation y = 5x represents the relationship, with the constant of proportionality being 5 (gallons per minute).

a. In the context of the graph showing the relationship between time (x in minutes) and the number of gallons of water (y), we can interpret the given coordinates as follows:

(0, 0): This point (0, 0) means that when there is no time (x = 0 minutes), no water has been pumped into the pool (y = 0 gallons). It represents the starting point before any water pumping began.

(1, 5): At (1, 5), it indicates that after 1 minute of pumping (x = 1 minute), 5 gallons of water (y = 5 gallons) have been added to the pool. This suggests that the unit rate of water pumping is 5 gallons per minute. We can determine the unit rate by examining how much the number of gallons (y) changes for each unit increase in time (x).

(6, 30): At (6, 30), it shows that after 6 minutes of pumping (x = 6 minutes), a total of 30 gallons of water (y = 30 gallons) have been pumped into the pool. The unit rate here is still 5 gallons per minute, as for every minute, 5 gallons are added.

b. To write an equation representing this relationship, we can express it as a linear equation in the form y = mx, where m represents the constant rate of change (the unit rate) which is 5 gallons per minute. So, the equation is:

y = 5x

In this equation, the constant of proportionality (m) is 5, as it represents the rate at which gallons of water are added per minute. This equation can be used to find the number of gallons of water (y) in the pool at any time (x) in minutes, given that the unit rate of pumping is 5 gallons per minute.

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Answer:

The coordinate (0,0) means that in 0 minutes 0 gallons are pumped. (1,5) means that in one minute 5 gallons are pumped. (6,30) means that in 6 minutes 30 gallons are pumped. The unit rate is 5 because for each minute 5 gallons are pumped. The equation is y=5x. The constant of proportionality is 5.

Step-by-step explanation:

What is 83 divided by 72,628

Answers

0.00114280993 as a decimal answer. The fraction 83/72628 cannot be simplified.

What is the solution to the system of equations?
3x-2y=19
Y=x-7

Answers

Greetings!

Answer:

x = 5 and y = -2

Step-by-step explanation:

Here you have given what y is equal to, this means you can sub this into the first equation:

3x - 2(x - 7) = 19

Expand the brackets:

-2 * x = -2x

-2 * -7 = 14

3x -2x +14 = 19

Move the +14 over to the other side making it a -14:

3x - 2x = 19 - 14

3x - 2x = 5

3x - 2x = x

So x = 5

Now sub this into the first equation:

3(5) - 2y = 19

15 - 2y = 19

Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:

15 - 19 = 2y

-4 = 2y

Divide both sides by two:

y = -2

So x = 5 and y = -2

Hope this helps!

0.14m= how many cm. get it right please

Answers

Here, I'll show you an EASY conversion acronym:
Kangaroos, Hopping Down Mountains Drinking Chocolate Milk:
That is KHDMDCM.
Now, here's what they ACTUALLY stand for:
Kilo, (kilometers, kilograms, etc.), Hecto, (hectograms, hectometers, etc.), Deca, (decameters, decagrams, etc.), M stands for THREE things, Meters, liters, and grams, Deci, (decimeters, decigrams, etc.), Centi, (centimeters, centigrams, etc.), and Milli, (millimeters, milligrams, etc.).
Now, you look at the diagram I have provided below:
You put 0.14 under Meters, liters, and grams, because it's 0.14 meters.
Now, whenever you move RIGHT, you move the decimal RIGHT every time you move. If there is a WHOLE number, (like 14), you add a ZERO to the number, so when you would move 14 to the RIGHT, it would become 140. Now when you go LEFT, you move the decimal to the LEFT, and if there are ANY ZEROS, you would take them out.
Now you might get a little confused when moving left;
Look, EVERY NUMBER has a decimal, like the number 14 itself.
14 has an imaginary decimal, which is 14.0. EVERY NUMBER HAS THAT. So, if you are moving LEFT, and you DON'T have any zeros, you would simply have 14 into 1.4.
So, with that out of the way, let's start figuring out how many centimeters 0.14 is equivalent to.
So we move to the RIGHT, because the centimeters is on the RIGHT, and now we move the decimal to the right.
Now it would be 01.4, but it's the same as 1.4, so we'll just put 1.4 under deci.
Now we have 1.4 DECIMETERS, but not quite yet centimeters.
We must keep moving to the right.
Once we move that decimal AGAIN, it is now 14.
WOO HOO! WE FIGURED IT OUT!
So 0.14m = 14 cm.
You saw how we figured that out? You could use this technique on ANY conversion problem like this in the future!
I hope I helped! =D

In a simpler way than the other answer, the answer is 14 cm. This is because there are 100 cm in a meter. So to work this out just multiply 0.14 by 100 to work out the answer. The answer is now 14.

What are two fraction equivalent to 1/2

Answers

2/4 and 3/6 is equivalent to 1/2 fraction.

What is Fraction?

A fraction represents a part of a whole.

The fractions which give same results after simplifying a fraction is called equivalent fraction.

To create equivalentfractions we need to multiply numerator and denominator with same number.

To create two equivalent fractions of 1/2. we have to multiply numerator and denominator by same number.

Let us multiply numerator and denominator by 2.

1/2×2/2

=2/4

2/4 is equivalent to 1/2..

Let us multiply numerator and denominator by 3.

1/2×3/3

=3/6

3/6 is equivalent to 1/2.

Hence 2/4 and 3/6 is equivalent to 1/2 fraction.

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What you can do to make a fraction equal to 1/2 is multiply the denominator and the numerator by the same number like now, I am going to multiply my denominator ( which is 2) by 2 which equals 4. Then I am going to multiply my numerator ( which is 1) by 2 which equals 2 so one of the fractions equal to 1/2 is 2/4. Now I am going to multiply 3 times 1/2 so 3×1=3, then 3×2=6. So another fraction that is equal to 1/2 is 3/6.

I hope this helped :)

First twelve numbers first term4 rule:add15,subtract10