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Explanation:
The combination of angle x and the 93 degree angle forms x+93. This obtuse angle is congruent to 130 because these two angles are alternate interior angles and because line L is parallel to line M.
So,
x+93 = 130
x+93-93 = 130-93 .... subtracting 93 from both sides
x = 37
The staff takes 1/2 of an hour to assemble 1/8 of the booths. How long does it take the staff to assemble all of the booths?
Answer:
It takes all staff 3 hours
Step-by-step explanation:
So, first we write down all these important info. It takes half hour for staff to assemble one sixth (1/6) of the booths. First you need to take the fraction 1/6 a whole number by multiplying it by the denominator which in this case is 6 which will give you the answer 1. Next, you do the exact same thing for the other part. Multiply 1/2 by 6 to get 3.
The time to assemble the remaining fraction of the bottle is 3.5 hours.
Time to assemble one-eight of the bottles
The time taken for the staff to assemble one - eight (1/8) of the bottles is given as half (1/2) hour.
Remaining fractionThe remaining fraction of the bottle is calculated as follows;
[tex]= 1 - \frac{1}{8} \\\\= \frac{7}{8}[/tex]
Time to assemble the remaining fraction of the bottlesThe time to assemble the remaining fraction of the bottle is calculated as follows;
1/8 ----------------- 1/2 hour
7/8 ---------------- ?
[tex]\frac{7}{8} \times \frac{1}{2} \times \frac{8}{1} = 3.5 \ hours[/tex]
Learn more about time to complete work here: https://brainly.com/question/10929133
The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are selling. When they charge $2 for a hot dog, they sell an average of 70 hot dogs per game. With every $1 increase in the price, the number of hot dogs sold per game decreases by 8. The volunteers can calculate the revenue earned from selling the hot dogs at each game using the expression -8x2 + 54x + 140, where x is the number of $1 increases in price.
Answer:
The constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Step-by-step explanation:
To find: What is the constant term in the polynomial expression, and what does it represent?
The given expression is [tex]-8x^2 + 54x + 140[/tex].
To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.
=[tex]-8(0)^2 + 54(0) + 140[/tex]
=[tex]140[/tex]
The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.
Hence, the constant term in the polynomial is 140 and it represents the revenue when the price is not increased.
Please help, I don’t know how to solve this
Answer:
f(-2), where f= -43/2
f(-1), where f= -16
f(0), where f has no solution
f(1), where f= 10
f(2), where f= 31/2
6 x 2/3 x 2 1/2 = what plss help
Answer:
10
Step-by-step explanation:
Answer
10
Step-by-step explanation:
Jim is making salsa recipe calls for 3 1/3 cups of tomato sauce for every 1/6 cups of the cilantro if Jim has one cup of cilantro how many cups of tomato sauce with he need 
Which of the following equations represents a proportional relationship?
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5
Answer:
Step-by-step explanation:
OA.
y = -4.50 + 6.25
OB.
I = 4.5
OC.
y = 6.25
OD.
y
= -4.5
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Anne is playing golf. On the first tee, she hits a slow shot down the Y = x -0.0 4X squared, we are why is the balls hide in the air and eggs is a horizontal distance in his drawer from the tea. The distance or measured in feet how far from the tea does the ball hit the ground
Answer:
25 ft
Step-by-step explanation:
The path of the golf ball is given by the equation.
[tex]y=x-0.04x^2[/tex]
The point on the ground where the ball will land on the ground is the point where [tex]y=0[/tex].
[tex]x[/tex] is horizontal distance
So
[tex]0=x-0.04x^2\\\Rightarrow x(1-0.04x)=0\\\Rightarrow 1-0.04x=0\\\Rightarrow x=\dfrac{1}{0.04}\\\Rightarrow x=25[/tex]
So, the ball will land 25 ft away from the tee.
PLEASE HELP ME ILL GIVE BRAINLIEST ITS DUE SOON OMG
Answer: He was given 50 for his birthday
Answer:
It's b
Step-by-step explanation:
This was the first answer I gave. So I am going with it.
Please help
Stay Safe and healthy
Answer:
C is the correct answer
I dont understand pls help me
Answer:
the answer is the option B 35
Step-by-step explanation:
first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35
[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]
A sweater that costs $32 is being marked down 30%. What is the new price of sweater?
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.
Use the linear combination method to solve this system of equations. What is the value of x? 3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1 Negative 6 Negative 3 and two-thirds 3 and two-thirds 6
Answer:
x = -3 2/3
Step-by-step explanation:
Given the simultaneous equations;
3 x + 7 y = 31 ..... 1
-3x - 2y = -1 ..... 2
Add both expressions
7y - 2y = 31-1
5y = 30
y = 30/5
y = 6
Substitute y = 6 into equation 2
From 2;
-3x - 2y = -1
-3x - 2(6) = -1
-3x - 12 = -1
-3x = -1 + 12
-3x = 11
x = -11/3
x = -3 2/3
Hence the value of x is -3 2/3
Answer:
x = -3 2/3
Step-by-step explanation:
Solve by the substitution method. 8x + 9y=56 -9x + y = 26
Answer:
(-2,8)
Step-by-step explanation:
8x + 9y=56
-9x + y = 26
---------------------------------------------------------------------------------
-9x + y = 26
+9x = +9x
y = 9x + 26
---------------------------------------------------------------------------------
8x + 9(9x+26) = 56 <-- substitute for y from above
8x + 81x + 234 = 56
89x + 234 = 56
- 234 = - 234
89x = - 178
x = -2 <--- we got the x value!!
--------------------------------------------------------------------------------
-9x + y = 26
-9 (-2) + y = 26 <-- substitute for x from above
18 + y = 26
- 18 = - 18
y = 8 <-- we got the y value!!
Please Help, I need to answer this ASAP and will automatically give brainliest
Answer:
12 and 18
Step-by-step explanation: since i helped can i have brainlist please :D
Graph the following equation.
y = 3x + 4
I need help on question a and b. please help me asap?!?!?
here is a math question
Answer:
D.
Step-by-step explanation:
Because the sign is facing the number 26 It means 26 is greater so 2x-4 has to be smaller (less then or equal to 26)
please help me with this
Pls help it due ASAP and show workings
Answer:
it's 70°
Step-by-step explanation:
well first by vertical angles we know that
[tex]\angle BAC = \angle DAE\\\\\angle DAE = 4x+6[/tex] ( I don't know how to put the symbol xd)
and given we know that
[tex]\angle EAF = \angle EAD = 4x+6[/tex]
solving for x
we know that
[tex]\angle CAD = 180\\\\\angle CAB + \angle ABD = 180\\\\4x+6+6x+14=180\\\\10x+20=180\\\\10x=160\\\\x=16[/tex]
and now for [tex]\angle EAF[/tex]
[tex]\angle EAF = 4x+6\\\\\angle EAF = 4(16)+6\\\\\angle EAF = 64+6\\\\\angle EAF = 70[/tex]
PLS HELP AND EXPLAIN THE ANSWER
Answer:
the answer is d!! I hope it helped please lmk if not
Help it due ASAP........
Answer: C. ∠5 and ∠6
Step-by-step explanation:
They are linear pairs meaning they form a straight line.
Angles that form a straight line are ALWAYS supplementary (they add up to 180°)
Hope this helped!
What is the 87th term of the arithmetic sequence of 12,0,-12
Step-by-step explanation:
12,0,-12
[tex]a1 = 12 \\ a2 = 0 \\ d = a2 - a1 \\ d = 0 - 12 = - 12 \\ an = a1 + (n - 1) \times d \\ \\ a87 = 12 + (87 - 1) \times ( - 12) \\ a87 = 12 - 1032[/tex]
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee
Answer:
y=7x-8
Step-by-step explanation:
y=mx+b........slope-intercept form
where m=slope,b=y-intercept
y=7x-8
2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?
a. w = -4m + 260
b. 10 months
PLEASE HELP ITS DUE IN % MINUTES PLEASE
Find the percent of change. Round to the nearest tenth, if necessary.
The Smith's home was worth $102,500 in 2013 and $111,000 in 2014.
Answer:
I think the percent of change would be 850000%,
Step-by-step explanation:
You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
PLEASE ANSWER I WILL MARK AS BRAINLIEST
The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y
The expression to represent the net yardage is 30.5x+12.9y.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given that, gain 25x yards, gain 0.9y yards lose 12y yards and lose 5.2x yards.
Now, net yardage
= 25x+0.9y+12y+5.5x
= 30.5x+12.9y
Therefore, the expression to represent the net yardage is 30.5x+12.9y.
To learn more about an expression visit;
https://brainly.com/question/28170201.
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