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
Gennadij [26K]
3 years ago
10

9a-3d=31 -3d+1d=-1 Solve by elimination

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer:

a = 65/18 , d = 1/2

Step-by-step explanation by elimination:

Solve the following system:

{9 a - 3 d = 31 | (equation 1)

-2 d = -1 | (equation 2)

Multiply equation 2 by -1:

{9 a - 3 d = 31 | (equation 1)

0 a+2 d = 1 | (equation 2)

Divide equation 2 by 2:

{9 a - 3 d = 31 | (equation 1)

0 a+d = 1/2 | (equation 2)

Add 3 × (equation 2) to equation 1:

{9 a+0 d = 65/2 | (equation 1)

0 a+d = 1/2 | (equation 2)

Divide equation 1 by 9:

{a+0 d = 65/18 | (equation 1)

0 a+d = 1/2 | (equation 2)

Collect results:

Answer: {a = 65/18 , d = 1/2

You might be interested in
1. There are 4 brown, 6 white, and 2 black marbles in a hat. You pick 2 marbles from the hat. Marbles are not returned after the
AnnZ [28]

In total there are 12 marbles because 6+4+2=12 and it says you pick 2 marbles from the hat so you subtract 12-2 and that gives you 10 and it says the marbles aren't returned so therefore you are left with 10 marbles. Hope this helps .

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A school wishes to accept 2000 students for their freshman class, and they expect 20,000 applications. In order to make their ad
vovangra [49]

Answer:

456

Step-by-step explanation:

Let X be the SATscore scored by the students

Given that X is normal (1000,200)

By converting into standard normal variate we can say that

z=\frac{x-1000}{200} is N(0,1)

To find the top 10% we consider the 90th percentile for z score

Z 90th percentile = 1.28

X= 200+1.28(200)\\= 200+256\\=456

i.e. only students who scored 456 or above only should be considered.

3 0
3 years ago
Brainly.com
Slav-nsk [51]
The answer is a, because the absolute value of x(the actual weight of the product) minus the target weight of 18.25 needs to be greater that the target weight difference of .36 so that it is outside the range.  So basically, any number outside of the range will be correct.You can plug in number that you know are in/ out of the acceptable range of numbers for this problem in.  
|18.62-18.25|>.36
.37>.36
18.62 is not in range.





7 0
3 years ago
Read 2 more answers
Find: 1. three quartiles and 2. interquartile range (IQR).<br> 1, 3, 9, 12, 12, 14, 18
Alex_Xolod [135]
Q1=3 Q2[median]=12 Q3=14 and the IQR is 11
3 0
3 years ago
When you buy an item on which sales tax is charged,the total cost is calculated by the formula T=P+s/100p where T is the total c
Gennadij [26K]

Given:

The formula for total cost is

T=p+\dfrac{s}{100}p

where, p is the price of item and s is the sales tax rate (as a percent).

You pay $14.77 for an item priced at $14.

To find:

The the tax rate.

Solution:

You pay $14.77 for an item priced at $14. So,

Total cost (T) = $14.77

Price of item (p) = $14

Putting T=14.77 and p=14 in given formula, we get

14.77=14+\dfrac{s}{100}(14)

14.77-14=\dfrac{s}{100}(14)

0.77=\dfrac{s}{100}(14)

Multiply both sides by 100.

77=14s

Divide both sides by 14.

\dfrac{77}{14}=s

5.5=s

Therefore, the tax rate is 5.5%.

7 0
3 years ago
Other questions:
  • Write -3/16 , 7/4, -3,8 in order from least to greatest
    12·1 answer
  • 34 is 25% of what numbet, please explain.
    7·2 answers
  • Which scenario involves acceleration
    5·1 answer
  • What is the y-intercept of the line connecting (–6,3) and (0,0)?<br><br> option 4. b = -6
    6·2 answers
  • An 8meter rope is cut into pieces each of length 0.4 meters how many 0.4 meters are formed
    10·1 answer
  • Please help me, I am struggling!!
    7·1 answer
  • A speed skater completers a 500-meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compair?
    13·1 answer
  • HELP ASAP ! PLEASE I LOVE YOU MAY GOD BLESS YOU &lt;3 :)
    5·2 answers
  • • The first customer paid $12 for 14 postcards and 5 large envelopes.
    8·1 answer
  • For every 2 cars you wash your friend wash 3 cars. You wash a total of 8 cars. How many did your friend wash.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!