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°
Convert 67 in base 10 to a number in base 2
Answer:
Step-by-step explanation:
Hope this helps u !!
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:
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)
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.
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
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°).
Need the question this is urgent!Please answer!
Which statements about the graph are true? Check all that apply.
Answer:
is there a picture you can show me?
Step-by-step explanation:
(a) An angle measures 29°. What is the measure of its supplement?
(b) An angle measures 42°. What is the measure of its complement?
If ∠a = 85°, what does ∠b equal?
Answer:
the mesurement of angle b is°
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]
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.
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
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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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
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 )
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
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
Who knows the answer fr cause everybody keep giving the wrong answer
MARKING BRAINLIEST
PLS HELP
Answer:
B
Step-by-step explanation:
It goes up and right
(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
n⋅(17+x)=34x−r solve for x
Answer:
x= -r-17n
n-34
thats a fraction btw
hi pls help me out with this
HELP ME
I WILL GIVE YOU BRAINLIEST
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%
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
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!
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]
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]