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ICE Princess25 [194]
3 years ago
8

What is the solution of the system of equations c+3d=8 and c=4d-6? Show work plz.

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0
\left\{\begin{array}{ccc}c+3d=8\\c=4d-6\end{array}\right\\\\substitute:\\\\(4d-6)+3d=8\\4d+3d-6=8\ \ \ \ /+6\\7d=14\ \ \ \ /:7\\d=2\\\\c=4\cdot2-6=8-6=2\\\\\left\{\begin{array}{ccc}c=2\\d=2\end{array}\right
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Please help I am horrible at math! Ye is riding home from a friend's house. After 5 minutes he is 4 miles from home, after 15 mi
vesna_86 [32]

Answer:

<em>y=-0.2x+5. Correct choice: A)</em>

Step-by-step explanation:

<u>Modeling With Equations</u>

Let's call x the number of minutes and y the distance from home. The correct model should meet both conditions:

After 5 minutes, Ye is 4 miles from home. This is the ordered pair (5,4)

After 15 minutes, Ye is 2 miles from home. This is the ordered pair (15,2)

A) y=-0.2x+5. Testing the first point (5,4): y=-0.2*5+5=4. Correct

Testing the second point (15,2): y=-0.2*15+5=2. Correct

This is the correct choice.

B) y=11/7x-27/7. Testing the first point: (5,4) y=11/7*5-27/7=4. Correct

Testing the second point (15,2). y=11/7*15-27/7=138/7. Incorrect

Incorrect choice.

C) This equation is equal to the choice B), thus this one is incorrect.

D) y=5x-0.2. The first point (5,4) yields to:

4=5*5-0.2=24.8 Incorrect.

6 0
3 years ago
Read 2 more answers
Finding the Median from a Dot Plot
MAXImum [283]

Answer:

median rainfall for highland storms = 18mm

median rainfall  for lowland storms = 18mm

or

median rainfall  for lowland storms = 17mm if the list of numbers is

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

Step-by-step explanation:

The median is the middle number of a sequence of ordered numbers.

The formula for the median is:

median = (n + 1 )/ 2

where n = total number of values

Note: the number that you find with this formula is the position. SO you have to go to the sequence of numbers and find the number that lies in that position.

Highland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

                = 16/2

                = 8

The median is the umber in the 8th position

so, the median rainfall for highland storms is 18mm

Lowland storms:

4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

The numbers are already in ascending order so we can proceed.

n = 15

∴ median = (15+1)/2

                = 16/2

                = 8

The median is the number in the 8th position.

∴  median rainfall for lowland storms is = 18mm

<u>Unclear: if this is the list of numbers: </u>

2  4 6 8 10 12 14 16 18 20 22 24 26 28 30 32

then the median would be:

n = 16

median = (16+1)/2  

             = 17/2

             = 8.5

This means the median lies between the numbers in the 8th and 9th position.

∴ The median is =  (16 + 18)/2

                           = 34/2

                           = 17

5 0
3 years ago
Read 2 more answers
(2x+6)(5x-1)<br> Foil method
WINSTONCH [101]
Multiple 2x * 5x =10x^2
Multiple 2x * -1 = -2x
Multiple 6 * 5x = 30x
Multiple 6 * -1 = -6
Add 30x + (-2x) = -28x
10x^2 + 28x -6 is the final answer
8 0
3 years ago
Unit rates can be helpful with creating a ratio table and plotting the equivalent ratios on a coordinate plane. Explain why. PLE
uysha [10]

Answer:

Unit rate is often a useful means for comparing ratios and their associated rates when measured in different units. The unit rate allows us to compare varying sizes of quantities by examining the number of units of one quantity per one unit of the second quantity. This value of the ratio is the unit rate.

3 0
2 years ago
Use a rectangular array to write the product in Standard form 2(x+10=?​
Sladkaya [172]

Hello there!

I hope you and your family are staying safe and healthy during this winter season!

See the attached picture for the answer!

Thanks!

~Garebear

7 0
2 years ago
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