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3 years ago

What is the solution to the system of equations below? 3x-2y=7 and -3x+5y=5

Mathematics

1 answer:

Zolol [24]3 years ago

8 0

Step-by-step explanation:

So you add one over the other

3x-2y=7

-3x+5y=5

3y=12

Then you divide 3 from both sides

(3y)/3=12/3

y=4

Then you substitute the y=4 in to the equation of your choice

3x-2(4)=7

3x-8=7

+8 +8

3x=15

x=5

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ASAP someone please answer whether these numbers are irrational or rational and explain.

Temka [501]

Answer:

are you lonly

Step-by-step explanation:

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3 years ago

Read 2 more answers

Margie wants to collect 3600 cans of food to donate to the community food bank.She plans to collect equal number of can for 4 mo

Alex777 [14]

Answer:

If its per month then its 900

Step-by-step explanation:

3600/4 = 900

900*4 = 3600

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3 years ago

Decrypt the word DKA if it was encrypted using an alphabetic Caesar shift cipher that starts with shift 5 (mapping A to F), and

pochemuha

Answer:

YET

Step-by-step explanation:

TO DECRYPT DKA USING THE CAESAR SHIFT CIPHER STARTING WITH 5 SHIFTS.

TO DO THIS DECRYPTION, WE'RE GOING TO LOOP THE ALPHABETS.

D = LOOPING THIS LETTER 5 TIMES, WE HAVE C - B - A - Z - Y.

SO, D IS DECRYPTED AS Y

GOING FURTHER, THE ENCRYPTION SHIFTS BY AN ADDITIONAL SPACE. THIS MEANS, IF THE FIRST "Y" WAS ENCRYPTED IN 5 SPACES TO GET D, AND AN ADDITIONAL SPACE WAS ADDED TO THE NEXT ALPHABET, IT BECOMES 6.

K IS THEN DECRYPTED AS

K = J - I - H - G - F - E

K IS DECRPYTED AS E

GOING FURTHER, THE NEXT WAS ENCRYPTED WITH AN ADDITIONAL SPACE EVEN MORE, SO, A IS DECRPYTED AS

A = Z - Y - X - W - V - U - T.

THUS, DKA IS DECRYPTED AS YET

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3 years ago

The measure of the angles of a triangle are given as 2x°, 3x°, and 4x°. What are the measures of each angle?

zmey [24]

Step-by-step explanation:

For triangle total degree=180°

2x+3x+4x=180

You get x=20°

Hence angles respective are..

40°,60°,80°

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4 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

4 years ago