The sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second. What are the numbers?
The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number are x, y and z
Then,
x + y + z = 118 ...(1)
y = x - 8 ...(2)
z = 3y ....(3)
After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:
x = 30
y = 22
Then z from the equation (3):
z = 3(22) = 66
Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
Learn more about the linear equation here:
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In a class of 60 students, 38 are Democrats, 12 are business majors, and 8 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of
choosing a Democrat or a business major.
P(Democrat or business major) =
(Simplify your answer. Type an integer or a simplified fraction.)
Answer:
7/10 or
0.7 or
70 percent
Step-by-step explanation:
[tex]p (democrat \: or \: business \: major \: ) = \frac{30 + 4 + 8}{60} [/tex]
[tex] = \frac{42}{60} [/tex]
[tex] = 7/10[/tex]
Therefore, the probability is 7/10, 0.7 or 70 °/•
can you help me to my module
Answer:
Yes, what is your question
Step-by-step explanation:
Answer:
yes what is your question
what is the value of 69 - -26
Answer:
98
Step-by-step explanation:
Answer:
95
Step-by-step explanation:
subtracting by a negative number is cancelling out the negatives which makes it a positive so it is 69+26 which is 95
plz help!!!!!!!!!!!!!!
Step-by-step explanation:
Use the exterior angle theorem
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle
82+ x = 2x + 18
64 = x
PQS angle = 2x + 18 = (2×64) + 18
= 146
Lewis is rolling a 10-sided die 250 times. Each side of the die is labeled with a number 1 – 10. Based on the theoretical probability, how many times would Lewis be expected to roll a multiple of 3?
A. 25
B. 30
C. 75
D. 83
Answer: So the multiplies of 3 on a ten sided die are 3, 6, and 9. theoretically each side should be rolled 25 times (250/10=25). Lewis would be expected to roll a multiple of three 75 times
Step-by-step explanation: Please mark brainliest
Answer:
75 -- i think
Step-by-step explanation:
let me know if im right.
Is the following a reflection,
rotation or translation?
Please need answer now will mark brainliest and no files please What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
6/6, simplified to 1,
negative slope so -1
HELP ME
WHATS THE PERIMETER
Answer:
12
Step-by-step explanation:
divid half of line
Answer:
Perimeter = 60
Step-by-step explanation:
In order to find the perimeter of the given triangle, we must first determine the value of the missing side. We can use the Pythagorean Theorem to find the missing side of the given right triangle.
According to the Pythagorean Theorem: c² = a² + b², where c is the hypotenuse (the side that is opposite of the right angle, 90°), and a and b represent the legs of the triangle. Use the formula to solve for the missing side. Rearrang the formula to isolate the variable, a:
a² + b² = c²
Subtract b² from both sides:
a² + b² - b² = c² - b²
a² = c² - b²
Next, substitute the given values into the formula:
c (hypotenuse) = 26
b (leg) = 24
a² = c² - b²
a² = (26)² - (24)²
a² = 676 - 576
a² = 100
[tex]\sqrt{(a)^{2}} = \sqrt{100}[/tex]
a = 10
The value of the missing side is 10.
Now, we can solve for the perimeter of the triangle:
P = a + b + c
P = 10 + 24 + 26
P = 60
Therefore, the perimeter of the given right triangle is 60.
Given that angle a = 15° and angle b = 5°, work out x
this cant be all the question
To find the equation of a regression line, ý = ax + b, you need these formulas:
8=13
--
b= y - az
S
A regression line has a slope of 2.334. If the mean of the x-coordinates of the
data points is 6.607, and the mean of the y-coordinates is 10.738, what is the
y-value of the y-intercept of the line to three decimal places?
A. -18.455
B. -4.683
C. 4.683
D. 18.455
Answer:-4.683
Step-by-step explanation:
Took the test
Kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Fluffy is longer than Muffy
Step-by-step explanation:
There are 1000 millimeters in a meter
Fluffy = 2000 millimeters
Muffy = 900 millimeters
Fluffy is longer than Muffy
2000 > 900
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me
as brainliest!
A tank has a capacity of 10 gallons. When it’s full it contains 12% alcohol. How many gallons must be replaced by a 36% alcohol solution to give 10 gallons of 15% alcohol solution?
Answer:
Ie e did I
Step-by-step explanation:
djdusudusis
Walmart was having a sale on stereo systems. Danny wants the stereo that is originally $140
but it is on sale for 25% off. How much will Danny have to spend?
Answer:
$105
Step-by-step explanation:
Turn 25% to decimal
25% = 0.25
Now multiply it to 140
140 x .25
= $35
The discount price is 35$
Now subtract it to 140
140 - 35
= $105
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in two steps; Comprehending and Solving.
I'll start off with Comprehending.
Comprehending
We can start solving the problem by setting up an equation to help us solve the problem.
We know the original price is $140 and we get a 25% off.
We also know that 25% is equal to [tex]\frac{1}{4}[/tex].
Hence we can solve for this by multiplying [tex]140*\frac{1}{4}[/tex].
Solving
We can solve the problem by using the equation that we found out above.
We can use algebra to find out and simplify it!
[tex]140*\frac{1}{4}= x\\70*\frac{1}{2}=x\\x= 35[/tex]
But wait! We have only found out what 25% of $140 is, we still need to subtract it from the original equation.
$140-$35=$105
We've gotten our answer of $105.
Cheers!!
42. A football team is at its own 25-yard line. In the next three plays, it loses an average of 4 Yards per play. Where is the team after the three plays?
Pls Help! Worth 8 Points Will Give Brainlest
Answer:
D. x - 5
Step-by-step explanation:
The text said that Sienna's hight is LESS than her brothers hight and less = minus
Answer:D
Step-by-step explanation:hope i helped i love helping people like you. :)
KS3 year 8 maths homework.
due tomorrow,
i’m really confused..
Answer:
a) = 6:55
b) = 37
c) =15:12
Answer:
a)6:55
b)37min
c)15:12
In the expression 7x +8z + 10+ y
What is the coefficient of x?___
What is the coefficient of z? ___
What is the coefficient of y? ___
What is the constant? ____
Answer:
7
8
1
10
Step-by-step explanation:
the coefficient of x you look at x the number associated with x is the coefficient.same applies to z y and constant number independent of any letter
(x+5)(x-5) factoring
Answer: x² - 25
Step-by-step explanation:
HELP THIS IS DUE TOMORROW!!!!,Use a balance scale to solve the
following equation for the value of b.
17 + b = 35
Answer:
Step-by-step explanation:
just do 35-17
Answer:
Step-by-step explanation:
first find b.
To find b, subtract 17 from 35.
35 - 17 = b
35 - 17 = 18
next, add 17 and 18 to see if it equals 35.
17 + 18 = 35
so, b = 18.
Solve each equation for the specified variable.
a. a-q=a+sx for x
b. kx-bf=fy/m for y
c. a-q=a+sx for q
d. kx-bf=fy/m for m
PLEASE HELP I WILL GIVE GREATEST ANSWER TO WHOEVER SOLVES ALL OF THEM THE BEST. THANK YOU SO MUCH
Answer:
a.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
[tex]\frac{-q}{s} = \frac{sx}{s}[/tex]
x = [tex]\frac{-q}{s}[/tex]
b.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
mkx - mbf = fy
[tex]\frac{mkx - mbf}{f}[/tex] = [tex]\frac{fy}{f}[/tex]
y = [tex]\frac{mkx - mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - [tex]\frac{mbf}{f}[/tex]
y = [tex]\frac{mkx}{f}[/tex] - mb
c.
a - q = a + sx
a - a - q = a - a + sx
-q = sx
-q × (-1) = sx × (-1)
q = -sx
d.
kx - bf = [tex]\frac{fy}{m}[/tex]
m(kx - bf) = m([tex]\frac{fy}{m}[/tex])
m(kx - bf) = fy
[tex]\frac{m(kx - bf)}{kx - bf}[/tex] = [tex]\frac{fy}{kx - bf}[/tex]
m = [tex]\frac{fy}{kx - bf}[/tex]
Can someone help me with this problem?
Answer:
16.6 ft^2
Step-by-step explanation:
1 foot = 0.3048 meter
1.54 m^2 = (1.54 m^2)·(1 ft/(0.3048 m))^2 = 1.54/0.3048^2 ft^2
≈ 16.6 ft^2
_____
Additional comment
The idea in units conversion is to multiply by a fraction whose value is 1 (because the numerator and denominator are the same amount), but whose units cancel the ones you don't want and give you the ones you do want.
Here, our conversion factor has m^2 in the denominator and ft^2 in the numerator, so it cancels m^2 in the given number and gives a result in ft^2.
Translate the sentence to an equation. Then solve and check.
3/4 of a number is equal to 36.
The equation is [?] . (Type an equation using x as the variable.)
The solution is x= [?] . (Simplify your answer.)
Suppose that x is that number thus:
[tex] \frac{3}{4} x = 36 \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]
[tex]3x = 144[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]
[tex]x = 48[/tex]
There u go...
Have a great day ❤
Step-by-step explanation:
3/4 of x=36
the equation is algebra
3/4×x=36
3/4x=36
36×4/3
=28
pree point sa inyong lahat
Answer:
Thanksss
Step-by-step explanation:
:)
Answer:
thanks lol
Step-by-step explanation:
tiana car traveled 111 miles on 3/8 1/2 hot dogs in 3 3/4 minutes. how many dogs did he eat in one minute
Suppose that the radius of a sphere is divided by 9. What happens with the surface area?
Answer:
Rad/9
Step-by-step explanation:
Write a linear function f with the values f(−1)=8 and f(5)=6.
A function is f(x)=
9514 1404 393
Answer:
f(x) = -1/3x +23/3
Step-by-step explanation:
You can use the linear regression function of a graphing calculator or spreadsheet to show you the equation of the line through these points:
f(x) = -1/3x +23/3
__
Approaching this in the usual way, we recognize we have points ...
(-1, 8) and (5, 6)
The slope of the line through those points is ...
m = (y2 -y1)/(x2 -x1)
m = (6 -8)/(5 -(-1)) = -2/6 = -1/3
Then the point-slope equation of the line is ...
y - 8 = -1/3(x +1)
Adding 8 gives us a form we can use for a function definition:
f(x) = -1/3(x +1) +8
f(x) = -1/3x +7 2/3
there is 26 students 15 like maths 13 like english and 9 dont like either
Answer:
yes, yes they do
Step-by-step explanation:
i dont know what you're asking
If (-3)-5=1/xwhat is the value of x?
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
Mayor distributed 300 sacks of rice. A sack of rice weighs 50 kg. how many grams of rice did the mayor distribute?
Answer:
15,000,000 grams
Step-by-step explanation:
300 * 50 = 15,000kg
kg to grams is *1000
15,000 * 1000 = 15,000,000
Answer:
15,000,000.
Step-by-step explanation: