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notka56 [123]
3 years ago
10

The table shows the number of candies packed by Machine J. The equation shows the number of candies packed by Machine K. In both

representations, x is a measure of the number of minutes and y is a measure of the number of candies packed.
Machine J Candy Packing

x (minutes) y (candies)
3 90
6 180
9 270
12 360

Machine K: y = 26x

How many more candies could machine J pack than machine K in 11 minutes?
30
44
90
330
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
Machine K y= 26x
y = 26 (11)
y = 286 candies in 11 minutes from Machine K

Machine J
90 / 3 = 30 candies a minute * 11 minutes = 330 candies

330 - 286 = 44

Machine J can pack 44 more candies than Machine K in 11 minutes.
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Use the zero product property to find the solutions to the equation x2 – 9 = 16.
zvonat [6]

Answer: x=5 or x=−5

Step-by-step explanation:

4 0
3 years ago
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
3 years ago
Elisa withdrew $20 at a time from her bank account and withdrew a total of $160. Frances withdrew $49 at a time from his bank ac
Alina [70]

Answer: Elisa

Step-by-step explanation:

Elisa withdrew $20 at a time from her bank account and withdrew a total of $160. The number of times she made a withdrawal will be:

= $160 / $20

= 8 times

Frances withdrew $49 at a time from his bank account and withdrew a total of $196. The number of times she made a withdrawal will be:

= $196 / $49

= 4 times.

From the calculations above, we can see that Elisa made the greater number of withdrawals.

5 0
3 years ago
6 4/5 of what number is 1 7/10 <br> Show your work
makkiz [27]

Answer:

The number is 1/4

___________________

Step-by-step explanation:

Look at the photo below for the details.

:)

6 0
3 years ago
The length of a rectangle is x feet. Its width is (x-7) feet. Draw and label a rectangle to represent this situation. Then write
a_sh-v [17]

Answer:

Perimeter of rectangle:

(4x - 14)\text{ feet}            

Step-by-step explanation:

We are given the following in the question:

Length of rectangle:

x\text{ feet}

Width of rectangle:

(x-7)\text{ feet}

Perimeter of rectangle:

2\times \text{(Length + Width)}

Expressions to calculate perimeter

1. ~2((x) + (x - 7))\text{ feet}\\2.~2(2x-7)\text{ feet}\\3.~ 4x-14\text{ feet}

The attached image shows the image of the rectangle.

3 0
3 years ago
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