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
likoan [24]
2 years ago
10

Write y+7 = 2/3 (4x-6) in standard form using integers

Mathematics
1 answer:
Marrrta [24]2 years ago
4 0

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

_____

Standard form has mutually prime integer coefficients, the leading one being positive.

You might be interested in
A jar contains 26 fluid ounces of spaghetti sauce how many cups of spaghetti sauce do jars contain
babunello [35]
26 fl oz ÷ 8 (8 fl oz in a cup) this gives us 26/8 and when we simplify this fraction we get 3 1/4 cups of spaghetti sauce
7 0
3 years ago
A sample of 100 workers located in Atlanta has an average daily work time of 6.5 hours with a standard deviation of 0.5 hours. A
Readme [11.4K]

Answer:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

\bar X_{1}=6.5 represent the sample mean for Atlanta

\bar X_{2}=6.7 represent the sample mean for Chicago

s_{1}=0.5 represent the sample deviation for Atlanta

s_{2}=0.7 represent the sample standard deviation for Chicago

n_{1}=100 sample size for the group Atlanta

n_{2}=110 sample size for the group Chicago

t would represent the statistic (variable of interest)

\alpha=0.01 significance level provided

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the meanfor atlanta is different from the mean of Chicago, the system of hypothesis would be:

Null hypothesis:\mu_{1}=\mu_{2}

Alternative hypothesis:\mu_{1} \neq \mu_{2}

Since we don't know the population deviations for each group, for this case is better apply a t test to compare means, and the statistic is given by:

t=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}} (1)

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the value of the test statistic for this hypothesis testing.

Since we have all the values we can replace in formula (1) like this:

t=\frac{6.5-6.7}{\sqrt{\frac{0.5^2}{100}+\frac{0.7^2}{110}}}}=-2.398  

What is the p-value for this hypothesis test?

The degrees of freedom are given by:

df = n_1 +n_2 -2= 100+110-2= 208

Since is a bilateral test the p value would be:

p_v =2*P(t_{208}

Based on the p-value, what is your conclusion?

Comparing the p value with the significance level given \alpha=0.05 we see that p_v so we can conclude that we can reject the null hypothesis, and we have significant differences between the two groups at 5% of significance.

3 0
3 years ago
Read 2 more answers
Solve the equation. 7+6=-3y+26<br> A. y= -8<br> B. y= -5<br> C. y= 5<br> D. y= 8
Umnica [9.8K]
The correct answer is c y=5
7 0
3 years ago
B-10 &gt; 5; 14, 15, 16
torisob [31]
B = 16
explanation:
b-10 > 5
16-10 > 5
6 > 5
The other answer choices are less than or equal to 5
3 0
2 years ago
The temperature of a pot of hot water is 200.5. The temperature of the water decreases 3.5 per minute. What is the temperature o
irina1246 [14]

Answer:

The temperature of the liquid 15 minutes later is 151.5

Step-by-step explanation:

This is an example of arithmetic progression

We need to find 15 th term

Here

a=200.5\\\\d=-3.5\\\\t_{15}=200.5+(15-1)\times-3.5\\\\=151.5

3 0
2 years ago
Other questions:
  • Find the slope and y intercept of the line whose equation is y = -x - 4
    6·2 answers
  • HELP NEED ASAP FOR MY HOMEWORK ITS DUE TOMORROW!! WILL MARK BRAIBLIEST IF RIGHT!! is 0 in domain or not? is 5 in domain or not?
    11·1 answer
  • Find the value of x.
    9·1 answer
  • Someone please help!
    10·1 answer
  • Please help all of these 60 POINTS...
    6·2 answers
  • 2) A farmer has a cylindrical silo he uses to store corn. The silo has a height of 50 feet and a
    7·1 answer
  • Use elimination to solve the system for 4x + 7 y equals -14 + 8 x + 5 y equals 8 for x​
    6·1 answer
  • ⚠️⚠️ Easy points if you are good at math ⚠️⚠️
    14·2 answers
  • On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour an
    11·1 answer
  • Nbbbbbb bm, bjh,bnm,bjh
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!