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
kap26 [50]
3 years ago
12

Use substitution to solve 1-2. 3x – 3y = 9 x= 7 – 3y

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

Solutions are x =4 and y = 1

Step-by-step explanation:

3x-3y =9

In this equation substitute x=7-3y, we get

3(7-3y) -3y=9\\21-9y-3y=9\\-12y= 9-21\\-12y= -12\\y=1

now substitute y =1 in x equation,

x=7-3(1)\\x=7-3\\x=4

Solutions are x =4 and y = 1

You might be interested in
The question is show a dilation of a rectangle with a dilation of 8/3
miv72 [106K]

It's always easier to understand a concept by looking at specific examples with pictures, so I suggest looking at the dilation examples below first...before you try to internalize the steps listed below and that explain the general formula for dilating a point with coordinates of (2,4) by a scale factor of <span><span>12</span><span>12</span></span>.

<span><span>1) multiply both coordinates by scale factor<span>(<span><span>2⋅<span>12</span>,4⋅<span>12</span></span><span>2⋅<span>12</span>,4⋅<span>12</span></span></span>)</span></span><span>2)

2. Simplify(1,2)</span><span>3)

3. Graph(if required)<span> </span></span></span>
5 0
3 years ago
-63<br> —— = -7 what’s the error <br> -9
STatiana [176]

Answer:

One of the negatives must go

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Pls help and thank you!
lyudmila [28]

Answer:

0.052 acre/min

Step-by-step explanation:

6 1/4 acres   /   2 hours   times the conversion factor   (1 hr   /   60 min)  comes out to:


6.25

----------------- = 0.052 acre/min

2 (60 min)

---------


8 0
3 years ago
Read 2 more answers
The ratio of boys to girls is 4 to 7. If there are 32 boys, then how many girls?
netineya [11]

Answer:

There are 56 girls

Step-by-step explanation:

32/4 =8

7 x 8= 56

3 0
3 years ago
Read 2 more answers
If t follows a t7 distribution, find t0 such that (a) p(|t | &lt; t0) = .9 and (b) p(t &gt; t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
Other questions:
  • Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the par
    14·2 answers
  • The height, h, in feet of a gold ball above the ground after being hit into the air is given by the equation. H=-16t2+64t, where
    12·1 answer
  • Please help asap Two vertices of a polygon are (7, −18) and (7, 18) . What is the length of this side of the polygon?
    15·1 answer
  • Which statement holds true for a skewed histogram showing a distribution of the weights of students in a class?
    13·1 answer
  • work out the circumference of this circle take (pie) to be 3.142 and give ur answer in 1 decimal place radius=9m
    9·1 answer
  • Write the numerical expression as a power. (4 x4 x 4 = )
    5·2 answers
  • Find the perimeter of the following regular polygons 1.An equilateral when the length of one side is 3.5cm​
    9·1 answer
  • What is the parallel line and slope of a perpendicular like for 3x+5y=4
    5·1 answer
  • keiko has bought 36pounds of dog food, she feed the dog 3/4 pound of food each meal. how many meals would this last
    10·1 answer
  • Mr. Jones bought a piece of land for 60 000. The land increased in value by 20% in a year. The new value of the land is​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!