1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Annette [7]
3 years ago
7

Solve the system of equations. 8x – 3y = 1 –2x + 3y = 11 A. (–1, –3) B. (–1, 3) C. (2, 5) D. (5, 2)

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

C. (2, 5)

Step-by-step explanation:

Looking at the answer choices, you can see that solving for y will tell you which choice is correct. We can eliminate x from the equations by adding 4 times the second equation to the first:

(8x -3y) +4(-2x +3y) = (1) +4(11) . . . . . adding the equations to eliminate x

9y = 45 . . . simplified; next we divide by 9

y = 5 . . . . . matches choice C

_____

Check

8(2) -3(5) = 16 -15 = 1

-2(2) +3(5) = -4 +15 = 11 . . . . the answer checks OK in both equations

You might be interested in
Please help with 11c!?
Contact [7]

Answer:

"To the nearest year, it would be about 9 years"

Step-by-step explanation:

11c)

This is compound growth problem. It goes by the formula:

F=P(1+r)^t

Where

F is the future amount

P is the present (initial) amount

r is the rate of growth, in decimal

t is the time in years

Given,

P = 20,000

r = 8% = 8/100 = 0.08

F = double of initial amount = 2 * 20,000 = 40,000

We need to find t:

F=P(1+r)^t\\40,000=20,000(1+0.08)^t\\2=(1.08)^t

To solve exponentials, we can take Natural Log (Ln) of both sides:

2=(1.08)^t\\Ln(2)=Ln((1.08)^t)

Using the rule shown below we can simplify and solve:

Ln(a^b)=bLn(a)

We can write:

Ln(2)=Ln((1.08)^t)\\Ln(2)=tLn(1.08)\\t=\frac{Ln(2)}{Ln(1.08)}\\t=9.0064

To the nearest year, that would be about 9 years

5 0
3 years ago
on monday, steve read 9 pages of his new book. to finish the first chapter on tuesday, he needs to read double the number of pag
Greeley [361]
18 pages because nine needs to be doubled
8 0
3 years ago
Sandy makes $2 profit on every cup of lemonade that she sells and $1 on every cupcake she sells. Sandy wants to sell at least 5
Assoli18 [71]

Answer:

two possible combinations are

- 7 cups of lemonade and 11 cupcakes

- 10 cups of lemonade and 5 cupcakes

Step-by-step explanation:

5 0
3 years ago
Can I get the real answer plz and thank u
Alika [10]

Answer: It is B

Step-by-step explanatio

6 0
3 years ago
Read 2 more answers
The pH scale for acidity is defined by pH= -log subscript 10 [H superscript+] where [H superscript+] is the concentration of hyd
gtnhenbr [62]

Answer:

The concentration of hydrogen ions in moles per liter (M) is 3.981 * 10^{-9}

Step-by-step explanation:

As we know

The hydrogen ion concentration of any solution at pH is given by

H^+ = 10^{-pH}

Substituting the given values in above equation, we get -

H^+ = 10^{-8.4}\\H^+ = 3.981 * 10^{-9} mol/l

The concentration of hydrogen ions in moles per liter (M) is 3.981 * 10^{-9}

8 0
3 years ago
Other questions:
  • -2x-1 is less than or = to 5
    6·1 answer
  • 6.7 how do I write it in two other forms
    10·2 answers
  • 70 points !!! <br>pls show work
    5·2 answers
  • PLEASE HURRY ITS URGENT!<br>What is distance between A &amp; B?<br>​
    9·1 answer
  • 1 1/4+2 1/2 what is the awnswer?
    8·2 answers
  • Slope from two points
    6·1 answer
  • True or false A linear equation is an equation whose graph is a straight line.
    14·2 answers
  • (3x ^3 + 4x^2)+(3x3-4x^2-9x)=
    9·1 answer
  • Are lines e and f parallel? Show your work.
    10·1 answer
  • Addy is taking a test with multiple choice and True/False questions. On the test, Addy got a total of twenty questions correct.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!