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Llana [10]
4 years ago
11

Students in Mrs. Middleton's third grade class are working on times tables, and they demonstrate mastery by passing tests. Julie

has passed 1 test so far. Her classmate, Erik, has passed 5 of them. From now on, Julie plans to take and pass 3 tests per week. Meanwhile, Erik plans to do 1 per week. At some point, Julie will catch up to Erik. How many tests will each child have passed?
Mathematics
1 answer:
asambeis [7]4 years ago
3 0
They will both have passed 7 tested. It will be in two weeks. Erik will add two tests to his 5 and Julie will add 6 tests to her 1.
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The picture below shows six quarters and two pennies. If this was broken down into two separate groups, what would be the equiva
Lyrx [107]

Using proportions, it is found that the equivalent ratio to six-seconds would be of 3 to 1.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, six quarters are equivalent to two pennies. Dividing into two groups, there would be a penny in each group, and we want to find the amount of quarters.

The <em>rule of three</em> is:

2 pennies - 6 quarters

1 penny - x quarters

Applying cross multiplication:

2x = 6

x = \frac{6}{2}

x = 3

The equivalent ratio to six-seconds would be of 3 to 1.

You can learn more about proportions at brainly.com/question/24372153

7 0
3 years ago
A parking space shaped like a parallelogram has a base of 18 feet and a height is 9 feet. A car parked in the space is 13 feet l
bonufazy [111]

Answer:

\frac{97}{162} or 59.88% of the parking space is not covered by the car.

Step-by-step explanation:

This question deals with the area of a space.

We need to find the area covered by the car, and compare with the area of the parking space.

The area of the car (which we will assume in this case, is more like a rectangle) = Length × Breadth = 13 feet × 5 feet = 65 feet^{2}

The area of the parking space (a parallelogram) is base × height = 18 feet × 9 feet = 162 feet^{2}

The amount of the parking space occupied by the car is then given by \frac{Area Of Car}{Area Of Parking Space} = \frac{65 feet^2}{162 feet^2} = \frac{65}{162} or 40.12%

So, the area not covered by the car is gotten by subtracting the area covered by the car (which is a fraction), from 1.

So, 1 - \frac{65}{162} = \frac{97}{162} or 59.88% of the parking space

6 0
3 years ago
Read 2 more answers
Which set represents the domain of the function shown? (5 points)
Vikentia [17]

Answer:

To make it simple, when finding the domain all you have to do is look for the x within the points.

Looking at the first set you can tell that the domain is -3, 0, 4, and 11

The y or the f(x) would be 6, 2, 7, and 15

(Just saying y and f(x) are the same thing.)

For the next set the domain is 6, 2, 7, and 15

For the f(x) it is -3, 0, 4, and 11

Remeber x and Domain is the same thing so all you have to do is look for the x within the points of the plot, as for looking for the range, it is the same thing as y or f(x).

God Bless

Hope that this helps!!!!!!!!!!!!!!

7 0
3 years ago
Read 2 more answers
Write the slope intercept form of the line passing through (-1,5) with y-intercept -4.
Vesna [10]

Answer:

y = -x + 4

Step-by-step explanation:

Slope-intercept form of a line is the equation:  y = mx + b

where m is the slope and b is the y-intercept

Step 1:  Find the slope

Label the points that are given.  

(-1,5) = (x1, y1)

(0, 4) = (x2, y2)      (this is what they told us the y-intercept is)

The formula for slope is:   m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = (4 - 5)/(0 - (-1))  

m = -1/1 = -1

We now have m and b, so our equation is:  y = -x + 4

6 0
4 years ago
What is the answer pls help me
Ivanshal [37]

Answer:

D.

Step-by-step explanation:

It is D. because there are lines on top of the letters meaning that the points PQ, QR, and PR are lines/sides.

You chose the answer already!

4 0
4 years ago
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