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Andrews [41]
3 years ago
10

Find the equation of a line parallel to y = 3x - 4 that passes through (-2,2).

Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

Slope: 3.

Equation: y = 3x + 8.

Step-by-step explanation:

Lines that are parallel to each other will have the same slopes.

So, the slope of the new line will be 3.

Since we have the slope, and a set of coordinates the line passes through, we can find the equation. So far, we have y = 3x + b. x = -2, y = 2.

2 = 3(-2) + b

3(-2) + b = 2

-6 + b = 2

b = 8

So, the equation of the line will be y = 3x + 8.

Hope this helps!

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Rachel runs 4 miles in 23 minutes. How many miles does she run per minute?​
KIM [24]

Answer:

To calculate how many total miles Rachel runs per minute, setting up a unit rate, that is a rate with a denominator of 1, would be helpful.

Step-by-step explanation:

Use the current problem to determine a rate.

23 minutes/4 miles

Now, set up a unit rate.

1 minute/<em>x </em>miles = 23 minutes/4 miles

To solve for <em>x, </em>we can use simple division strategies. We divide 23 by 23 to receive 1 minute. Likewise, dividing the current milage by 23 would wield the correct unit rate. To do this, divide 4 by 23.

4/23 = 0.1739130434782609

Finally, simplify your answer to receive 0.17.

Therefore, Rachel runs ~0.17 miles per minute. (Note that this answer is only a rounded answer of her actual milage per minute)

8 0
2 years ago
The data below represents the number of minutes Jake and Sarah spent doing chores
hichkok12 [17]
-

The median number of minutes for Jake and Sarah are equal, but the mean numbers are different.

-

For this, you never said the choices, but I’ve done this before, so I’m going to use the answer choices I had, and hopefully they are right.

Our choices are -

• The median number of minutes for Jake is higher than the median number of minutes for Sarah.

• The mean number of minutes for Sarah is higher than the mean number of minutes for Jake.

• The mean number of minutes for Jake and Sarah are equal, but the median number of minutes are different.

• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.

————————

So to answer the question, we neee to find the median and mean for each data set, so -

Jack = [90 median] [89.6 mean]
Sarah = [90 median] [89.5 mean]

We can clearly see the median for both is 90, so we can eliminate all the choices that say they are unequal.

We can also see that Jack has a higher mean (89.6) compared to Sarah (89.5).

We can eliminate all the choices that don’t imply that too.

That leaves us with -

• The median number of minutes for Jake and Sarah are equal, but the mean number of minutes are different.
8 0
3 years ago
What is the equation of the line in slope intercept form?
Sladkaya [172]

Answer:

y=3/5x+3

Step-by-step explanation:

The y-intercept which is the (+3) is taken from where the line crosses the y-axis.

The slop is found from rise over run, in this case, -5 to 0 is positive 5 this would go in the denominator, because we go from solid ground 0 to 3 without crossing another solid point, the numerator is 3.  

7 0
3 years ago
Plz hepl meeeeeeeeeeeee
Ira Lisetskai [31]

Answer:

5 students

Step-by-step explanation:

2/3 of 30 = 20 students

1/4 of 20 = 5 students

7 0
2 years ago
Which is bigger: 0.3 or 1/3
valkas [14]
First, turn the fraction into a decimal to get a better look at the problem. To do that, divide the numerator (top half) by the denominator (bottom half). 1 divided by 3 = 0.33
0.33 is larger than 0.3. If it helps, add a 0 to 0.3 to get 0.30 and you'll see that 33 is in fact a larger number than 30. (Adding the zero does NOT change the number, it holds no place value it's just there for looks.)
4 0
3 years ago
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