Answer: 54
Step-by-step explanation:
Total votes: 240
Votes for the winner: x
Votes for candidate 1: x - 8
Votes for candidate 2: x - 13
Votes for candidate 3: x - 15
Equation to find the amount of votes of the winner (x) is:
240 = x + x - 8 + x - 13 + x - 15
Combine x and x to get 2x.
240=2x−8+x−13+x−15
Combine 2x and x to get 3x.
240=3x−8−13+x−15
Subtract 13 from −8 to get −21.
240=3x−21+x−15
Combine 3x and x to get 4x.
240=4x−21−15
Subtract 15 from −21 to get −36.
240=4x−36
Swap sides so that all variable terms are on the left hand side.
4x−36=240
Add 36 to both sides.
4x=240+36
Add 240 and 36 to get 276.
4x=276
Divide both sides by 4.
x= 4/276
Divide 276 by 4 to get 69.
x=69
Votes for the winner: 69
Votes for candidate 1: 69 - 8 = 61
Votes for candidate 2: 69 - 13 = 56
Votes for candidate 3: 69 - 15 = 54
The candidate that had the lowest number of votes received 54 votes.
the measure of the supplement of an angle is 39° more then the angle. find the measure of the angle and it’s supplement.
Step-by-step explanation:
s = a+39
s+a = 180
a+39+a = 180
2a = 180-39
2a = 141
the angle = 70.5°
the supplement = 109.5°
can someone pls answer and explain this correctly?
Answer:
[tex]6^4[/tex]
Step-by-step explanation:
All you have to do for this is follow PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Substraction) Which is the order of operations.
First you do parenthesis, [tex](2^2)^2[/tex], when you have a positive exponent outside a parenthesis like this, you add them together, and in this case, you get, [tex](2^2)^2=2^4=16[/tex]
After that, you do the rest of the exponents as well as multiplication, [tex]3^4=81[/tex].
Now we plug in the 81 from our last step along with the 16 from the first step and multiply them together. [tex]3^4*(2^2)^2=81*16=1296[/tex]
Then you just simply need to find which of the answers come out to be the result we got which is 1296. Out of these 4 possible answers, [tex]6^4[/tex] ends up being equal to 1296 which means that is the correct answer.
Answer:
6^4 is equivalent to 3^4 x (2^2)^2
Step-by-step explanation:
3^4 x (2^2)^2 6^8 = 1679616
3^4 x (4)^2 6^4 = 1296
81 x 16 5^4 = 625
1296 5^8 = 390625
what is the solution of in(x-2)^2=6
Answer:
22.09
Step-by-step explanation:
Given the expression ln(x-2)^2=6
Take exponent of both sides
e^ln(x-2)^2=e^6
(x-2)² = e^6
(x-2)² = 403.43
x - 2 = √403.43
x - 2= 20.09
x = 20.09 + 2
x = 22.09
Hence the value of x is 22.09
(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?
You raise pigs. When you purchase the pig it weighs 54 pounds. Within 5 to 6 months your pig will gain around 420% in weight. How much should it weigh by then?
Answer:
280.8 pounds
Step-by-step explanation:
Original weight of pig = 54 pounds
Percentage increase in weight = 420%
Current weight of pig = original weight + 420% of original weight
= 54 + 420% of 54
= 54 + 420/100 * 54
= 54 + 4.2 * 54
= 54 + 226.8
= 280.8 pounds
Current weight of pig = 280.8 pounds
Which is a common factor of 1 and 2?
A.
0
B.
C.
D.
1
2
4
ОА
B
С
D
Answer:
The common factor is 1.
Step-by-step explanation
The common factor of 1 and 2 is 1 since 1x2=1.
HELP ME WITH THIS ILL MAEK U THE BRAINLIEST
Answer:
Maria answers 85% of the questions correctly
Step-by-step explanation:
Maria had a test with 20 questions
if 17 are correct,
20 questions : 100%
17 questions : ?%
she was 85% right
hope this helps :)
Answer:
E. 85%
Step-by-step explanation:
Total Answers: 17 + 3 = 20
Maria answered 17 questions correctly
(17 ÷ 20)×100 = 85%
FASTTTTT
FIND THE AREA OF THE SHADED REGION
Answer:
A =28 pi cm^2
Step-by-step explanation:
First find the area of the larger circle
A = pi r^2
A = pi (8)^2
A = 64 pi
Find the area of the smaller circle
A = pi r^2
A = pi 6^2
A = 36 pi
The shaded area is the larger circle minus the smaller circle
A shaded = 64 pi - 36 pi
A =28 pi cm^2
Write an equation that represents the line
Answer:
y = -2x - 3
Step-by-step explanation:
A standard equation written in slope-intercept form looks like this:
y = mx + b
m is the slope and b is the y-intercept.
First let's identify the y-intercept.
This is the point where the line crosses the y-axis. That point is (0, -3); therefore, our y-intercept is -3.
y = mx - 3
Now let's find the slope.
This is the rate of change of the line. It is represented by rise over run. "Over" means the number will be presented as a fraction.
We can see that from Point 2 (on the right), we rise 2 units to the level of Point 1 (on the left). This is expressed as 2.
To get directly to Point 1, we run backwards 1 unit. This is expressed as -1.
rise: 2
run: -1
rise/run = 2/-1 = -2
-2 is our slope.
y = -2x - 3
This is your equation.
Hope this helps!
Factor the following expression completely. 6x^2 — 3x-8x+4
6x² — 3x-8x+4
3x(2x-2)-4(2x-1)
(3x-4)(2x-1)
Answer:
( 3x - 4 ) ( 2x - 1 )
Step-by-step explanation:
➛ 6 x ² - 3x - 8 x + 4
➛ 3 x ( 2 x - 1 ) - 4 ( 2 x - 1 )
➛ ( 3 x - 4 ) ( 2 x - 1 )
The answer ISN’T -9/5,3.
Don't have to explain, but if u want then to ahead.
Thank you! :)
Don't forget the square brackets.
=============================================
Work Shown:
[tex]|5x-3| \le 12\\\\-12 \le 5x-3 \le 12\\\\-12+3 \le 5x-3+3 \le 12+3 \ \text{ ... see note 1}\\\\-9 \le 5x \le 15\\\\-9\div 5 \le 5x\div 5 \le 15\div 5 \ \text{ ... see note 2}\\\\-1.8 \le x \le 3\\\\[/tex]
note 1: I added 3 to all sides to undo the "-3" in the middle.
note 2: I divided all sides by 5 to go from 5x to x (ie it undoes the multiplication on x).
--------------------
From there, we convert from compound inequality notation to interval notation.
Something in the form [tex]a \le x \le b[/tex] converts to the interval notation [a,b]
The square brackets say to include the endpoint.
So [tex]-1.8 \le x \le 3[/tex] converts to the final answer of [-1.8, 3]
x is any real number between -1.8 and 3, including both endpoints.
----------------------
It appears you had the right idea. You just needed to convert -9/5 to -1.8, and you also needed to surround everything with square brackets.
If your teacher wanted the answer in fraction form, then you would say [-9/5, 3]
Convert 67 in base 10 to a number in base 2
Answer:
Step-by-step explanation:
Hope this helps u !!
If ∠a = 85°, what does ∠b equal?
Answer:
the mesurement of angle b is°
Which statements about the graph are true? Check all that apply.
Answer:
is there a picture you can show me?
Step-by-step explanation:
hi pls help me out with this
Need the question this is urgent!Please answer!
Find the sum of the first 7 terms of the following series, to the nearest integer.
125,50, 20, ...
Answer:
[tex]r = 2.5 \\ sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ = \frac{125( {2.5}^{7 - 1} )}{7 - 1} \\ = \frac{30517.6}{6} \\ = 5086.3[/tex]
HELP ME
I WILL GIVE YOU BRAINLIEST
(x-8)^2+(y+4)^2=12 find the coordinates of the center and the Measure of the radius for a circle
Answer:
Center: (8, -4)
Radius: 2√3
General Formulas and Concepts:
Algebra I
Coordinates (x, y)Pre-Calculus
Circle Center-Radius Equation: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Identify
(x - 8)² + (y + 4)² = 12
(h, k) = (8, -4)
r² = 12 → r = √12 = 2√3
STATEMENT OF THALES THEORM NEED URGENTLY
HAVE A NICE DAY GOOD MORNING
Answer:
The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
angle B is 33 degree
Step-by-step explanation:
let angle A be x and angle D also be x.(because the base angles of ann isosceles triangles are equal)
x+x+48=180 degree(sum of interior angles of a triangle)
2x=180-48
x=132/2
x=66
therefore angle A and Angle D is 66 degree
angle A + angle C=exterior angle D (sum of two interior opposite angles are equal to the exterior angle formed)
66+48=exterior angle D
114 = exterior angle D
In triangle DCB
let angle C be y and Angle B also be y(bases angles of an isosceles triangle are equal)
y+y+114=180 degree(sum of interior angles of a triangle )
2y=180-114
y=66/3=2
y=33 degree
therefore angle B is 33 degree
n⋅(17+x)=34x−r solve for x
Answer:
x= -r-17n
n-34
thats a fraction btw
Use the grouping method to express the polynomial below as product of its factors. Write each factor as a polynomial in descending order. x(5x-8)-3(5x-8)
Answer:
(5x-8)(x-3)
Step-by-step explanation:
The factor of this equation is 5x-8
So, after the factorization is (5x-8)(x-3)
Solve the given portion x/4 3/6
[tex]\sf\purple{x\:=\:2}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{x}{4} = \frac{3}{6} \\ \\ ➪ \: x = \frac{1 \times 4}{2} \\ \\ ➪ \: x = \frac{4}{2} \\ \\ ➪ \: x = 2[/tex]
Therefore, the value of [tex]x[/tex] is 2.
[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]
[tex] \frac{x}{4} = \frac{3}{6} \\ \\➪ \: \frac{2}{4} = \frac{3}{6} \\ \\ ➪ \: \frac{1}{2} = \frac{1}{2} \\ \\➪ \: L.H.S.=R. H. S [/tex]
Hence verified. ✔
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
MARKING BRAINLIEST
PLS HELP
Answer:
B
Step-by-step explanation:
It goes up and right
Can some solve this and explain how they solved it for both process
Answer:
1=27 2= -1
Step-by-step explanation:
if three watermelons equal 60 divide that by 3 to get 20. 30 minus 20 will get you what the strawberries together make so divide by two to get 5. After subtract 5 from 3 to get -2 and since you did it in reverse think of it as a positive. So that equals 1. 20 + 1 + 7 is 27. For number two start at the bottom with the clovers since its only clovers.divide 12 by 3 to get 4. Then go up to the second equation 31-16 is 15. After divide by 3 and get 5. Then go to the next equation and do the same thing, add the sunflowers and then subtract the sum from both sides. 40 - 10 is 30. 30 divided by 3 is ten. After go to the last one. 5 - 10 + 4 is -1.
The probability that austin's company uses the local shipping service for a package is 0.650. The probability that the local shipping service will deliver the package on time is 0.980. If a package is selected at random from austin's company, what is the probability that she uses the local shipping service and that the package will not be delivered on time?
Answer:
0.013
Step-by-step explanation:
First, work out the probability that the package won't be on time:
1 - 0.980 = 0.020
Then, multiply this amount with the probability the company will choose the local shipping service:
0.650 x 0.020 = 0.013
If x^4-y^4=45 and x^2-y^2=5, then x^2+y^2=?
A. 9
B. 15
C. 20
D. 40
E. 50
Answer:
here u go
Step-by-step explanation:
i got a
Answer:
x^2 + y^2 = 9
What is the difference of square formula (a ^ 2 - b ^ 2)?It is used to find the difference between the two squares without actually calculation the square.
a^2 - b^ 2 = (a-b) (a +b)
x^4 - y^4 = 45
(x^2)^2 - (y ^2) ^ 2 = 45
(x^2 - y^ 2) (x^2 + y^2) = 45
5 (x^ 2 + y ^ 2) =45
x^2 + y^2 = 9
correct option is A ) 9
Learn more about difference of square formula
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Who knows the answer fr cause everybody keep giving the wrong answer
For each part below use the figure to fill in the blank if necessary you may learn what the markings on a figure indicate PLZ HELP I WILL MARK BRAINLIEST
Answer:
60˚, 75˚
Step-by-step explanation:
for part a:
since all sides are the same length (represented by the 3 same type of tick marks on all sides) then the triangle is equilaterial. Which means all the angles are the same.
Sum of angles in a triangle is 180˚.
x represents the value of <N, <M, and <P
so since all angles are the same, 3x = 180, all angles of part a triangle are 60˚. Therefore, <M is 60˚.
for part b:
this is an isoceles triangle since two sides are the same length.
If it's isoceles, that means it's 2 base angles are the same value.
We've already been given the vertex angle.
x represents the value of <S and <Q
2x + 30 = 180.
2x = 150
x = 75˚
Answer:
Step-by-step explanation: