Since we are solving for b, you need to get it by itself. So you would divide both sides by 3a. That would leave b= -7/3a.
Hope this helps!!
For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?
(A) 250 yards
(B) 300 yards
(C) 350 yards
(D) 400 yards
(E) 450 yards
Answer:
(C) 350 yards
Step-by-step explanation:
From available information
Mean = 790
1 running back = 1637 yards
Standard deviation above mean = 2.42
Using formula
z =( x - mean)/sd
2.42 = (1637-790)/sd
2.42 = 847/sd
We cross multiply
2.42sd = 847
Divide through by 2.42
Sd = 847/2.42
Sd = standard deviation = 350
So our answer is 350 and therefore option c.
If the hypotenuse of a right triangle is ✔20 units, what are the lengths of the two legs?
Answer:
It could by any 2 numbers that satisfy a^2+b^2= 20.
One example would be 4 and 2:
4^2+2^2=16+4=20
I hope this helped.
True or false? A theorem is a statement that can be easily proved using a
corollary
A. True
B. False
The answer is B, False
Answer:
yeah it's B. false :)
Step-by-step explanation:
and to answer the other answer, it's just to help other people if the question isn't already on brainly
What are the slope and the equation for the graph?
Answer:
Slope= 2/3, Equation= y=2/3x+2
Step-by-step explanation:
A long-distance runner can run 11 miles per hour. How many hours will it take
the runner to run 44 miles?
Answer:
4 Hours.
Step-by-step explanation:
If the run 11 miles in a hour, then do 11 times as many hours.
11 x 4 = 44.
I dont get this, can anyone help?
Answer:
this is an x y coordinate plane, start with x and then move to y.
what is 0.3% of 3.7%? round to the nearest hundredth
graph the following rule y<_ 2/3x - 1
Look at the graph I added here
The formula for the volume of a rectangular prism is v=Iwh which is the equivalent equation solved for h
Answer:
6x^3+39x^2+59x
Step-by-step explanation:
SOMEONE PLEASE HELP I NEED THE SOLUTION TO ALL OF THESEE PLEASE HELP!!!!
Answer:
The answer is below
Step-by-step explanation:
Let's work it out slowly
A)
$18.79 + $2.11 - $1.92 + $17.28
- 18.79 + 2.11 + 17.28 = 38.18
- 38.18 - 1.92 = 36.26
Ans = $36.26
B)
$7.45 + $24.45 + $74.17 + $76.52
- 7.45 + 24.45 = 31.9
- 74.17 + 76.52 = 150.69
- 150.69 + 31.9 = 182.59
Ans = $182.59
C) $98.45 - $10.63 + $2.82 - $20.26
- 98.45 - 10.63 - 20.26 = 67.56
- 67.56 + 2.82 = 70.38
Ans = $70.38
Hope you understand
:-)
How much does 1 lemon cost if 6
lemons are $2.99?
Answer: About 50 cents 0.50
Step-by-step explanation: 2.99 / 6 = 0.50
Answer:
_
0.4983
if you want a more simple answer then you could probably round it to about 50 cents each i guess.
Can someone explain this to me!!! Will give the brainliest!!!!
Answer:
88 degrees
Step-by-step explanation:
First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).
Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.
We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.
b) Find the value of
4(a – 3b) when a = -8 and b = 1/3
Answer:
-36
Step-by-step explanation:
4(-8-3*(1/3)) = 4(-8-1) = -36
Which of the following gives an equation of a line that passes through the point (3.-) and is
parallel to the line that passes through the origin and point (-2, -12)?
Answer:
A goes through the points
Step-by-step explanation:
hey can anyone pls answer dis math question rq!
Answer:
9 inchesStep-by-step explanation:
Original size = 6 ftScale factor = 1/8Clone = original * scale factor
Clone size
6 ft*1/8 = 3/4 ftConverted to inches
1 ft = 12 in3/4 ft = 3/4 * 12 in = 9 inHello!, All I wanted to ask was what is the answer to this question “Evaluate 9 + 7 x 5”
AND what does Evaluate mean?
Answer:
the answer is 44 and evaluate is just a fancy word for solve i believe
Step-by-step explanation:
What do the differences between the points (as shown on the graph) represent?
Please answer
Answer:
Answer:
They represent the rise and run of the graph.
Step-by-step explanation:
Step-by-step explanation:
The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)
The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).
The ratio of rise to run is the slope of the graph, which tells us how many steps should we take on the y-axis for every step we move forward on the x-axis.
They represent the rise and run of the graph.
The difference between the x-axis of the points represents the" run" of the graph( or how important you should run along x-axis to get to the coming point.) The difference between the y- axis of of the points represents the" rise" of the graph( or how important you should rise up the y- x is to get to the coming point).
The rate of rise to run is the slope of the graph, which tells us how numerous way should we take on the y- axis for every step we move forward on the x-axis.
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WHAT IS THE SLOPE OF THE LINE???
I NEED HELP ASAP PLEASE
Answer:
(-3, 1)
Step-by-step explanation:
The line goes down 3 (-3) and to the right 1
(-3, 1)
(Sorry if I am wrong. Please don't get mad)
Hope I helped :)
1) y = 6x − 11 −2x − 3y = −7 4) −3x − 3y = 3 y = −5x − 17 7)−4x + y = 6 −5x − y = 21 8) −7x − 2y = −13 x − 2y = 11 18) −2x + 6y = 6 −7x + 8y = −5 My teacher started a new unit and i wasn't hear to get the teaching so i chose some random problems and hopefully one of them is easy enough for you to teach me how to do it
Answer:
See Explanation
Step-by-step explanation:
1.
Given
[tex]y = 6x - 11[/tex]
[tex]-2x - 3y = -7[/tex]
Solve for x and y
In the first equation, we have: [tex]y = 6x - 11[/tex]
Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second
[tex]-2x - 3y = -7[/tex]
[tex]-2x - 3(6x - 11) = -7[/tex]
[tex]-2x - 18x + 33 = -7[/tex]
[tex]-20x+ 33 = -7[/tex]
[tex]-20x= -7-33[/tex]
[tex]-20x= -40[/tex]
Divide through by -1
[tex]20x = 40[/tex]
[tex]x = 40/20[/tex]
[tex]x = 2[/tex]
Recall that:
[tex]y = 6x - 11[/tex]
[tex]y = 6 * 2 - 11[/tex]
[tex]y = 1[/tex]
2,
Given
[tex]-3x - 3y = 3[/tex]
[tex]y = -5x - 17[/tex]
In the second equation, we have: [tex]y = -5x - 17[/tex]
Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation
[tex]-3x - 3y = 3[/tex]
[tex]-3x - 3(-5x - 17) = 3[/tex]
[tex]-3x + 15x + 51 = 3[/tex]
[tex]12x + 51 = 3[/tex]
[tex]12x=3 - 51[/tex]
[tex]12x=-48[/tex]
[tex]x = -48/12[/tex]
[tex]x = -4[/tex]
Recall that: [tex]y = -5x - 17[/tex]
[tex]y = -5 * -4 - 17[/tex]
[tex]y = -3[/tex]
3. Given
[tex]-4x + y = 6[/tex]
[tex]-5x - y = 21[/tex]
Add both equations to eliminate y
[tex]-4x - 5x + y - y = 6 + 21[/tex]
[tex]-9x= 27[/tex]
Solve for x
[tex]x = 27/-9[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]
[tex]-4 * -3 + y = 6[/tex]
[tex]12 + y = 6[/tex]
[tex]y = 6 - 12[/tex]
[tex]y = -6[/tex]
4. Given
[tex]-7x - 2y = -13[/tex]
[tex]x - 2y = 11[/tex]
Make x the subject in the second equation
[tex]x - 2y = 11[/tex]
[tex]x = 11 + 2y[/tex]
Substitute 11 + 2y for x in the first equation
[tex]-7x - 2y = -13[/tex]
[tex]-7 (11 + 2y) - 2y = -13[/tex]
[tex]-77 -14y - 2y = -13[/tex]
[tex]-77 -16y = -13[/tex]
[tex]-16y = -13 + 77[/tex]
[tex]-16y = 64[/tex]
[tex]y = 64/-16[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 11 + 2y[/tex]
[tex]x = 11 + 2 * -4[/tex]
[tex]x = 11 -8[/tex]
[tex]x = 3[/tex]
5. Given
[tex]-2x + 6y = 6[/tex]
[tex]-7x + 8y = -5[/tex]
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
[tex]7(-2x + 6y = 6)[/tex]
[tex]-14x + 42y =42[/tex]
The second
[tex]-2(-7x + 8y = -5)[/tex]
[tex]14x - 16y = 10[/tex]
Add the resulting equations
[tex]-14x + 42y =42[/tex]
[tex]14x - 16y = 10[/tex]
------------------------------
[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]
[tex]42y - 16y = 42 + 10[/tex]
[tex]26y = 52[/tex]
Solve for y
[tex]y = 52/26[/tex]
[tex]y = 2[/tex]
Substitute 2 for y in [tex]-2x + 6y = 6[/tex]
[tex]-2x + 6 * 2 = 6[/tex]
[tex]-2x + 12 = 6[/tex]
[tex]-2x = 6 -12[/tex]
[tex]-2x = -6[/tex]
Solve for x
[tex]x = -6/-2[/tex]
[tex]x = 3[/tex]
16+6×(4 exponent -1)
Answer:
17.5
Step-by-step explanation:
A printing machine produces labels.Four percent of the labels produced are defective.Suppose 372 labels were defective.
how many labels are not defective?
Answer:
8928
Step-by-step explanation:
If 4% is 374, what is 1%? so 374/4
374 = 4%
93 = 1%
Now if 4% is defective, how many is not defective?
100% - 4% = 96%
If 1% is 93 then what is 100%?
8928 = 96%
There were 8,928 labels are not defective.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have been given that labels are created using a printing press. Four percent of the labels that are created are inaccurate.
Let the total number of labels would be x
As per the question, 372 labels were defective.
So 4% of x = 372
⇒ 4x/100 = 372
⇒ x = 37,200/4
⇒ x = 9,300
Since 4% is defective labels,
So labels are not defective: 100% - 4% = 96%
Now, we have to calculate the evaluation of 96% of 9,300.
⇒ (96/100)9,300
⇒ (0.96)9,300
⇒ 8,928
Therefore, there were 8,928 labels are not defective.
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Solve v= f(c+K) for K
Answer:
K = v /f − c
Step-by-step explanation:
Simplify the algebraic expression. 4(x - 3) + 2(x + 5)
Answer:
6x+2
Step-by-step explanation:
4(x-3)+2(x+5)
4x-12+2x+10| Distrubutitive Property
6x-2 | Combine like terms
What is a rational number and how do you know?
jas is 8 years younger than Sandeep 10 years ago their ages total 20 how old are they now
Answer: Jas is 9, and Sandeep is 11.
Step-by-step explanation: 9 + 11 = 20
Jamie's car gets 33.5 miles per gallon. How many miles can he travel on 16 gallons?
Answer:
536 Gallons
Step-by-step explanation:
If you multiply 33.5 times 16 you will get your answer
Please put brainliest.
What is the first step you would take solving for k in 4k + 12 = -28
Answer:
The first step I would take is subtract 12 from both sides.
Step-by-step explanation:
i hope this helps!
5 5/8 + 5/12
helpp mee plzz
Answer:
The answer is 6.04166666667. The answer in a faction is 145/24.
Step-by-step explanation:
I hope this help.
Translate the sentence into an inequality.
The sum of a number times 10 and 16 is at most 28.
Use the variable c for the unknown number.
Given:
The sum of a number times 10 and 16 is at most 28.
To find:
The inequality for the given statement.
Solution:
Let the unknown number be c.
A number times 10 = 10c
Sum of a number times 10 and 16 = 10c + 16
At most 28 = Number should less than or equal to 28.
The inequality for given sentence is
[tex]10c+16\leq 28[/tex]
Therefore, the required inequality is [tex]10c+16\leq 28[/tex].
could someone please answer these 3 questions?? ty :))
Answer:
1. -12 2. you get - 3. -6
Step-by-step explanation:
Well hope that makes sense. Please heart.
12 plus -12 is 0. -3 plus 2 is -1 or -. -4 plus -2 is -6.
You add -12 to 12 to make it zero.
If you have - - - and add + + you get -1.
If you have - - - - and add - - you get -6.