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2 years ago

Please help solve, 7th grade work (see image)

Mathematics

1 answer:

lozanna [386]2 years ago

8 0

Answer:

F) 63

Step-by-step explanation:

Find the original total stories 10 + 8 + 16 + 8 = 42.

Original ratio of Mary's stories to total stories is 8/42 or 4/21.

Then form equation 4/21 = 12/x ; multiply both sides of 4/21 by 3.

4/21 = 12/63

The students need to write 63 stories to keep the ratio of Mary's stories to total stories the same.

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If pentagon ABCDE is rotated 180 degrees around the origin to create pentagon A’ B’ C’ D’ E’, what is the ordered pair of point

Naddik [55]

You haven't provided the original coordinates or the figure, therefore, I cannot give an exact answer. However, I will help you with the concept.

For rotation 180° about the origin, the signs of both the x any y coordinates are changed.
<u>This can be modeled as follows:</u>
(x,y) ......> rotation 180° about the origin ........> (-x,-y)

<u>Examples:</u>
(1,2) .......> rotation 180° about the origin ........> (-1,-2)
(2,-19) ....> rotation 180° about the origin ........> (-2,19)
(-3,-8) .....> rotation 180° about the origin ........> (3,8)
(-5,7) ......> rotation 180° about the origin ........> (5,-7)

Based on the above, all you have to do to get the coordinates of C' is change the signs of both the x and y coordinates

Hope this helps :)

5 0

2 years ago

A recycling station brought in 1/2 T of newspapers on Monday. On Tuesday, the station collected only half of what it did on Mond

Oxana [17]

Its b took the test Rita b duemwowms

8 0

2 years ago

You are making juice from concentrate. The directions on the packaging say to mix

mel-nik [20]

Answer:

25 can.

Step-by-step explanation:

Here is the complete question: You are making juice from concentrate. The directions on the packaging say to mix 1 can of juice with 3 cans of water to make orange juice. How many 12 fluid ounces cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?

Given: Ratio to make juice with concentrate:water is 1:3.

As required we need to prepare 200 6 ounce serving of Orange juice.

∴ $200\times 6= 1200\ ounce$

Let there be x ounce of concentrate and 3x ounce of water to make 1200 ounce of orange juice.

Now, $x+3x= 1200$

∴ x= 300 ounce

Next, lets find out how many cans of 12 ounce is required.

$\frac{300}{12} = 25\ cans$

∴ 25 cans is required to make 1200 ounce of orange juice.

3 0

3 years ago

A survey of 46 college athletes found that 24 played volleyball, while 22 played basketball. a) If we pick one athlete survey pa

PSYCHO15rus [73]

Answer:

A) $\dfrac{11}{23}$

B) $\dfrac{88}{345}$

Step-by-step explanation:

A survey of 46 college athletes found that

24 played volleyball,
22 played basketball.

A) If we pick one athlete survey participant at random, the probability they play basketball is

$P_1=\dfrac{22}{46}=\dfrac{11}{23}$

B) If we pick 2 athletes at random (without replacement),

the probability we get one volleyball player is $\dfrac{24}{46}=\dfrac{12}{23};$
the probability we get another basketball player is $\dfrac{22}{45}$ (only 45 athletes left).