Answer:
x = 3
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle:
15x + 5 + 22x + 4 = 120 add like terms
37x + 9 = 120 subtract 9 from both sides
37x = 111 divide both side by 37
x = 3 and to find the angles replace x with 3 in given expressions
(C) c varies directly as a and inversely as b. If c= 15 when a = 18 and b = 40, find c when a = 36, and b = 25. = с
Answer:
c = 48
Step-by-step explanation:
Given c varies directly as a and inversely as b then the equation relating them is
c = [tex]\frac{ka}{b}[/tex] ← k is the constant of variation
To find k use the condition c = 15 when a = 18 and b = 40 , then
15 = [tex]\frac{18k}{40}[/tex] ( multiply both sides by 40 )
600 = 18k ( divide both sides by 18 )
[tex]\frac{600}{18}[/tex] = k
[tex]\frac{100}{3}[/tex] = k
c = [tex]\frac{100a}{3b}[/tex] ← equation of variation
When a = 36 and b = 25 , then
c = [tex]\frac{100(36)}{3(25)}[/tex] = [tex]\frac{3600}{75}[/tex] = 48
A backback originally costs $35 it is on sale for $22.75 find the percent of decrese
Answer $12.25
Step-by-step explanation: edmentum
GEOMETRY HELP ME PLEASE ASAP
Right and equation of a line passing through the point (-6,-3) and perpendicular to line JK with J(-2,-7) and K(6,5)
Answer:
Find the slope that passes between the points.
(y₂ - y₁) / (x₂ - x₁)
J(-4, -5)
K(-6, 3)
(3 - (-5)) / (-6 - (-4))
(3 + 5) / (-6 + 4)
8 / -2
-4
Step-by-step explanation:
there
Classify the sample space as finite or infinite. If it is finite, write the sample space. If it is infinite, classify whether it is discrete or continuous.
A letter is randomly chosen from the alphabet.
Answer 1:
A. Infinite
B. Finite
Answer 2:
A. Discrete
B. Continuous
Answer:
Answer 1
Because the alphabet can end,it is not unlimited
I need help plss!!!!!!!
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
what would the answer be
Answer:
60
Step-by-step explanation:
The school that Michael goes to is selling tickets to a dance. On the first day of ticket sales the school sold 3 staff tickets and 1 student ticket for a total of $38. The school took in $52 on the second day by selling 3 staff tickets and 2 student tickets. Find the price of a staff ticket and the price of a student ticket.
The price of a staff ticket and the price of a student ticket is $8 and $14
Given:
Day 1:
Number of staff tickets sold = 3
Number of students tickets sold = 1
Total revenue day 1 = $38
Day 2:
Number of staff tickets sold = 3
Number of students tickets sold = 2
Total revenue day 2 = $52
let
cost of staff tickets = x
cost of students tickets = y
The equation:
3x + y = 38 (1)
3x + y = 38 (1)3x + 2y = 52 (2)
subtract (1) from (2)
2y - y = 52 - 38
y = 14
substitute y = 14 into (1)
3x + y = 38 (1)
3x + 14 = 38
3x = 38 - 14
3x = 24
x = 24/3
x = 8
Therefore,
cost of staff tickets = x
= $8
cost of students tickets = y
= $14
Read more:
https://brainly.com/question/22940808
How would you write 262 × 3 in addition form?
600 + 18 + 6
600 + 180 + 6
618 + 6
600 + 180 + 6 × 3
Answer:
262x3=768 so you need to find which answer equals 786 in addition form.
option a is equal to 624
option b is equal to 786
option c is equal to 624
option d is equal to 2358
your answer would be option b.
Step-by-step explanation:
hope this helps
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!4
Answer:
It's the 2nd graph
Step-by-step explanation:
Think about it. The large barrel weighs 25 pounds. There are 20 gallons of water. Now look at the graphs 1 more time.
8
Drag and drop the correct angle measures onto the diagram:
DRAG & DROP THE ANSWER
60
65
120
120
115
7
65
Answer:
Step-by-step explanation:
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
(correct the error below!)
first term =4
common difference =8
tenth term =4 +10(8) = 84
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
---------
We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
---------
In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?
Answer:
Tom is 43yo and Tim is 36
Tim will be 41 in 5 years.
Step-by-step explanation:
Can someone help me with this question it's my last question I will give you a brain list just help me I will really appreciate it thank you :)
Answer:
I have attached my answer below.
Step-by-step explanation:
Sorry, I was not able to do the last one as I don't know how to do it.
Hopefully this helps!!
Can someone help me with this
Answer:
1. so the express of the shaded region would be
10x*6 which gives 60x the area of the whole thing subtract 2x*4 =8x
so 60x-8x
2.
the perimeter is 6*2 bc two sides so 12
and 10x *2 bc two sides 20
so 20x+12 would be the perimeter
What are the values of m and n
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The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
Dan is buying turkey cutlets for $2.69 per pound. The package weighs 4 pounds, 8 ounces.
How much will the cutlets cost?
if I did it right then it's $32.38.
A bird flying 45 feet above a river dives
down 58 feet to catch a fish. Find the
location of the fish relative to the surface of
the water.
1/2 divided by 1/8 in simplest form
Will give brainliest and 5 star rating plus thanks plz help quickly
Answer:
maybe 4
Step-by-step explanation:
Answer:
So 1/2 divided by 1/8 in simplest form is 4
Step-by-step explanation:
[tex]\frac{1}{2}/\frac{1}{8}[/tex]
You use the rule of Keep Change Flip when dividing fractions
You keep the 1/2
Change the division sign to multiply
Flip 1/8 to 8/1
[tex]\frac{1}{2} * \frac{8}{1}[/tex]
Now you have to multiply [tex]\frac{1*8}{2*1} = \frac{8}{2}[/tex]
Simplify by factoring by 2 [tex]\frac{8}{2} = \frac{4}{1} =4[/tex]
Write the line (-5,-6) with slope 2/5 in point-slope form
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
Find the missing side K
K
53
45
Answer:
k=28
Step-by-step explanation:
What is the slope of the line represented by the equation y = fx-3?
Х
5
-3
o
4
5
|s
4
5
O 3
Please helpppp!!!!
Answer:
it 3.5-9
Step-by-step explanation:
The Lone Star Shipping Company charges $14 plus $2 per pound to ship an overnight package. Discount Shipping Company charges $20 plus $1.50 per pound to ship an overnight package. What is the point where these two companies will be the same amount and what does it mean?
Answer:
each company will earn $38 when they ship a 12-pound package
Step-by-step explanation:
you can solve this algebraically by setting up two equations:
let 'c' = charges per pound
Lone Star: y = 2c + 14
Discount: y = 1.5c + 20
now set each equation equal to the other to solve for 'c':
2c + 14 = 1.5c + 20
subtract 14 from each side to get:
2c = 1.5c + 6
subtract 1.5c from each side to get:
0.5c = 6
c = 6/0.5
c = 12
if you plug 12 in for 'c' in each equation you will get y = 38
(12,38) is the point where these two companies would each earn $38 for shipping a 12-pound package
write the equation of a line that passes through the points (5, -7) and is perpendicular to the line -2x + 6y = -4
Answer:
y= -3x + 8
Step-by-step explanation:
Put -2x + 6y = -4 into slope-interceltp form
Take the negative reciprocal of the slope.
Use this reciprocal in point-slope form
and you have,
= y= -3x + 8
(EDITED) Steps:
2x+6y = -4
6y=2x - 4
y= 1/3x + 2/3
if two lines are perpendicular,
m1 * m2 + -1
1/3 * m2 = -1
m2 = -3
the line perpendicular to this line is
y = -3x + k ; k ∈ R
the line passes through the point (5,-7)
so,
-7 = -3. (5) +k
-7 = -15 + k
k = 8
∴the equation of a line that passes through the point (5,-7) and is perpendicular to the line -2x+6y=-4 is
y= -3x + 8
Hope this helps, have a nice day/night! :D
please help me with this! :)
Answer: w x 7 + 6 x 7
Step-by-step explanation:
I really can't explain.
Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?
Answer:1.75m
Step-by-step explanation:
Jacob wants to buy a new bike that costs $369. He currently has $150 saved for the bike, and he can add $3 each day to the bike fund. Write an equation and solve to determine how many days it will take Jacob to save enough money for the new bike.
Answer:
150 + 3x = 369 X= 73
Step-by-step explanation:
X is the amount of days
So 150 minus 369 would be 219
Then take 219/3 and that would mean X equals 73
Enter the value of x that makes the equation 3x + 4 + 2x + 2 = -24
answer? and how would I answer this.
Answer:
x = -6
Step-by-step explanation:
Combine like terms.
5x + 6 = -24
Subtract 6 from both sides.
5x = -30
Divide by 5 on both sides.
x = -6
Follow Me:-
[tex]3x + 4 + 2x + 2 = - 24 \\ \\ = > 5x + 6 = - 24 \\ \\ = > 5x = - 24 - 6 \\ \\ = > 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{5} \\ \\ = > x = - 6[/tex]
Hope This Helpsare the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane
Given that f ( x ) = 3 x − 3 and g ( x ) = 2 x , evaluate g ( g ( − 4 ) )
Answer:
g(g(- 4)) = - 16
Step-by-step explanation:
Evaluate g(- 4) then substitute the value obtained back into g(x)
g(- 4) = 2(- 4) = - 8 , then
g(- 8) = 2(- 8) = - 16
through: (5, 4), slope = undefined
write the slope intercept
Answer:
Step-by-step explanation:
An "undefined slope" is a vertical line going through the x axis at 5. The slope is undefined since there is no change in x for all values of y. The means the slope, which is the change in y divided by the change in x, would be a fraction with a zero denominator. This makes it undefined.
One value of x, in this case x=5, will include all possible values of y. There is no y-intercept, but the line has an x-intercept of 5.