Answer:
12
Step-by-step explanation:
P = is you add Length (L) plus Legnth (L) plus Width (W) plus Width (W)
4+4+2+2
Find the G.C.D. of the following:
(a) 30, 45, 75
Answer:
15
Step-by-step explanation:
We can start by trying to figure out the divisors for each number. A divisor is a whole number that we can multiply by another whole number to equal our target number.
For example, 2's divisors would be 2 and 1, because we can multiply 2 and 1 together to get 2.
30's divisors would be: 1, 30, 2, 15, 3, 10 4, 5, 6
45's divisors would be: 1, 45, 3, 15, 5, 9
75's divisors would be: 1, 75, 3, 25, 5, 15
We should start with 30's divisors because we're searching for a greatest common divisor, so we have to make sure that divisor still fits into the smallest number. Additionally, we should go from biggest to smallest because by eliminating the highest possibilities first, we can ensure that our answer will be the biggest possible one without having to check every single one.
30's biggest divisor is 30, but neither 45 nor 75 have it. 30's next biggest divisor is 15, and that is a common divisor between 45 and 75. Since we worked from the biggest to the smallest, we also know that it is the highest possible common divisor.
That means the G.C.D. of 30, 45, and 75 is 15.
Solve the following proportion for v.
8/5 = v/6
Round your answer to the nearest tenth.
Answer:
[tex]v=\frac{48}{5}=9\frac{3}{5} \\ [/tex]
Step-by-step explanation:
[tex]\frac{8}{5}=\frac{v}{6}[/tex]
Swap sides:
[tex]\frac{v}{6}=\frac{8}{5}[/tex]
Multiply to both sides by 6:
[tex]\frac{v}{6}\cdot6=\frac{8}{5}\cdot6[/tex]
Group like terms:
[tex]\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6[/tex]
Simplify the fraction:
[tex]v=\frac{8}{5}\cdot6[/tex]
Multiply the fractions
[tex]v=\frac{8\cdot6}{5}[/tex]
Simplify the arithmetic:
[tex]v=\frac{48}{5}[/tex]
n: Find the area of each shaded region. Assume that tangies are right angles. 2.
Construct a line through the point (3,1) that is perpendicular to the line through (2,12) and (5,18). Answer in slope-intercept form.
Answer:
y = -1/2x +5/2
Step-by-step explanation:
The equation of the desired line can be determined by first finding the slope of the line between the two reference points. Then the point-slope equation of the desired line can be written, and that can be rearranged to slope-intercept form.
__
The slope of the line between two points is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (18 -12)/(5 -2) = 6/3 = 2
The slope of the perpendicular line is the opposite reciprocal of this:
m' = -1/m = -1/2
__
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
The line we want can be described by the equation ...
y -1 = -1/2(x -3) . . . . . line with slope -1/2 through point (3, 1)
__
Rearranging to slope-intercept form, we find ...
y = -1/2x +3/2 +1
y = -1/2x +5/2
_____
Additional comment
The geometry program used to draw the figure in the attachment shows the line's equation in standard form to be ...
x +2y = 5
Solving for y gives the slope-intercept equation:
2y = -x +5 . . . . . . . . subtract x
y = -1/2x +5/2 . . . . . divide by 2
In the expression below, a is an integer.
12x2 + ax - 20
If 3x + 4 is a factor of the expression above, what is
the value of a ?
Answer:a=1
Step-by-step explanation:
If x > 0 and y > 0, where is the point (x, y) located?
Answer:
Quadrant I, see both images below...
Step-by-step explanation:
Wanda pays $19.50 per month for her gym membership. She can take yoga classes at her gym that
cost an additional $8 per class. At the end of January, she paid $43.50 in total. How many yoga classes
did Wanda take in January? Write and solve an equation.
Answer: She took 6 yoga classes
Step-by-step explanation: So first
Subtract
$43.50 - $19.50 = $24
Carry then Divide
$24 / 8 = 6 Classes
PLEASE MARK ME BRAINLIEST!!!
Sam bought a shirt for $23.20. Jay bought the same shirt for $25.00 with a 10% off coupon.
Who paid more for the shirt?
Answer:
Jay paid more for his shirt.
Step-by-step explanation:
10% of $23.20 is $20.88
10% of $25.00 is $22.50
Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.
Answer:
y = -5 + 2x
Step-by-step explanation:
don’t know what the answer is pls help
Answer:
2.04
...
...
....
.
.................
795 times 12 then add 6754 then divided by 7
Answer:
795 * 13 + 6754 / 7 = 2,327.71
Step-by-step explanation:
795 * 13 + 6754 / 7 = 2,327.71
The sum of four consecutive even integers is 180
The next four consecutive even numbers would be A+8, B+8, C+8, & D+8. Consequently their sum would be 180+4*8 = 212.
A line passes through the point (8,3) and has a slope of 5/2 . write an equation in point-slope for this line
Step-by-step explanation:
y = mx + c
(3) = (5/2) (8) + c
c = - 17
y = 5/2 x - 17
1. Alex decided to look at new and used SUVs. He found a used SUV for $24,000. if a new SUV is $32,000, what percent of the price of a new
SUV does Alex pay for a used SUV
Answer:
25%
Step-by-step explanation:
used SUV = $24000
new SUV = $32000
find the differences between the new SUV and the used SUV.
$32000 - $24000 = $8000
take the difference price and divide by original price ( $32000 ), multiply with 100
8000/32000 x 100
=25%
The smaller of two consecutive even integers is five more than one half of the greater. Find the integers.
Answer:
12, 14
Step-by-step explanation:
Let's call the smallest number n.
Let n + 2 = the larger even integer.
Let's write our equation:
"The smaller of two consecutive even integers is five more" would be +5 and "nne half of the greater" can be written as [tex]\frac{1}{2}[/tex](n + 2).
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Solvew for n.
n = 5 + [tex]\frac{1}{2}[/tex](n + 2)
Let's multiply each side by 2, to get rid of the fraction, [tex]\frac{1}{2}[/tex].
2 (n) = 2(5 + [tex]\frac{1}{2}[/tex](n + 2))
2n = 2* 5 + 2*([tex]\frac{1}{2}[/tex](n + 2))
2n = 10 + (n + 2)
2n = 10 + n + 2
2n = 10 + 2 + n
2n = 12 + n Subtract n from each side.
2n - n = 12 + n - n
2n - n = 12
n = 12
Let's solve for our other integer:
n + 2 = 12 + 2 = 14
So our 2 consecutive, even integers are
12 and 14
Jennifer is planning a holiday. The hotel costs $130 per night and her flight costs $600. She has a budget of $2,000 for hotel and flights.
If x represents whole nights at the hotel, complete the inequality below to show how many nights Jennifer can afford. The answer must be a whole number.
Answer:
kindly house you have a good day and I will be there
Answer:
you can get one hotel
Step-by-step explanation:
Convert the following into percentage. 2.00 =
Answer:
2/100
Step-by-step explanation:
to find a percentage you times by a hundred
42.3 subtracted by 14.742
Answer:
-27.558
Step by Step:
I subtracted it
Jen was making cake pops for the bake sale. After 3 hours, she had completed half of the work. She called Maryna for help and together they finished everything in half an hour. How long would it take Maryna to finish the job alone if she replaced Jen after Jen baked for 3 hours?
Answer:
Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6
Step-by-step explanation:
It says, " After 3 hours, she had completed half of the work" it means it would take all together Jen 6 hours to do the entire job.
It says, " together they finished everything in half an hour", so that means Jen does an a little bit more work, [1/2 / 6] or 1/12 for the entire job , and Maryna does 5/12 of the whole job in 1/2 hr.
Then, the equation would have been (5/12) / (1/2) = (6/12) / t, and the time for Maryna to finish on her own portion she would be doing 6/12 (half) of the whole job.
So therefore Your answer is: t = (1/2 * 6/12) / (5/12) (which equals) t=3/5 or in decimal form t= 0.6 :)
Hope this helped : )
Could you please answer these
Step-by-step explanation:
here u gggggggggggggggoooo
Answer:
x = 4, y = 2 or (4, 2)
Step-by-step explanation:
Given :-
2x + 3y = 14 -(1)
x + 3y = 10 -(2)
To Find :-
x and y
Solving :-
Subtract (2) from (1).
=> x = 4
Substituting value of x in Equation 2 :-
4 + 3y = 10
3y = 6
=> y = 2
Solution :-
x = 4, y = 2
What is the inverse of the function h(x) = 2x + 1?
Answer:
h^-1(x)=(x-1)/2
Step-by-step explanation:
We can rewrite the function as y=2x+1, switch the y and x, x=2y+1, and simplify to y=(x-1)/2.
What expression shows 3 less than a number?
A. n + 3
B. n - 3
C. 3 - n
D. 3n
Hey there!
Remember, 3 less than a number means we subtract 3 from that number.
It's the same as "a number minus 3"
Now, let's check all 4 options and see which one's right.
The first one is
n+3
Well, that's definitely not the right option, because it says "a number plus 3"
Is it Option B? Yeah!
Because n-3 is the same thing as "a number minus 3"
Is it Option C? Nope!
Because 3-n is the opposite of "a number minus 3"
Is it Option D? no.
Because 3n means "3 times a number"
Hence, the right expression is
[tex]\boxed{\boxed{\bold{n-3}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if so, please comment.
#LearningDoesn'tEnd
#LearningIsFun
PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
2 pi/3
Step-by-step explanation:
Step 1: Know the Equation of a Trig Function
[tex]y = a \sin(b(x - c)) + d[/tex]
where |a| is the amplitude
The period is
[tex] \frac{2\pi}{ |b| } [/tex]
The phase shift is c.
Vertical shift is d.
So first, identity b. Here b is the 3.
So use the formula for a period.
Step 2: Computation.
[tex] \frac{2\pi}{ |b| } = \frac{2\pi}{3} [/tex]
So the period is 2 pi/3
What does this mean?
This means every 2 pi/3, the function will repeat itself. which is called oscillation.
Need help with question 7 and 8
find the difference between 8.136kg and 5.387kg
Answer:
2.74900 kilograms
Step-by-step explanation:
8.136kg-5.387kg=2.74900 kilograms
find the slope of the line passing through the points (-4,1) and (-4,-7)
Answer:
The slope is undefined.
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-7-1)/(-4-(-4))
m=-8/(-4+4)
m=-8/0
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Each line of a computer printout contains 72 characters. A: how many characters can print in a 75-line report? B:The computer printer can print 135 characters each second. How long will it take to print this report.
5 pages X 60 minutes = 300 pages per hour
It will take 1 hour to print 300 pages on a printer that prints at 5 pages per minute. Do you have enough ink to print 300 pages?
Please help ill vote you brainliest. [tex]-2 ^-3[/tex]
Answer:
Ok.
Your answer is -1/8
Have a nice day!
Step-by-step explanation:
I believe the answer is - 1/8
7:8:9=__:12:__ 20 characters lolololol
Answer:
21/2 : 12 : 27/2
Step-by-step explanation:
7:8:9=__:12:__
12/8 = 3/2
Multiply each term by 3/2
7*3/2 :8* 3/2 :9*3/2
21/2 : 12 : 27/2
Which expression is equivalent to (4^5/4x4^1/4/4^1/2)^1/2?
Answer:
2Step-by-step explanation:
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