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Related Questions
A rectangular auditorium seats 1855 people. The number of seats in each row exceeds the number of rows by 18. Find the number of seats in each row.
Answers
Answer:
53 seats per row
Step-by-step explanation:
Given that:
Capacity = 1855
Let number of rows = x
Hence, Number of seats per row = x + 18
The Area of auditorium = capacity
Area of rectangle = Length * width
1855 = x * (x + 18)
1855 = x² + 18x
x² + 18x - 1855 = 0
x² + 53x - 35x - 1855 = 0
x(x + 53) - 35(x + 53) = 0
(x - 35) = 0 or (x +53) = 0
x = 35 or x = - 53
Hence x = 35 ; (x can't be negative)
Number of seats per row = 35 + 18 = 53
Using a quadratic equation cal
parallel lines, transversal, and algebra really need help
Answers
Answer:
1. 58 = 5x-2, 60 = 5x, x = 12
2. 134 = 16x+22, 112 = 16x, x = 7
3. 125 = 7x-1, 126 = 7x, x = 18
4. 133+9x+2 = 180, 9x=45, x=6
5. 8x-77 = 3x+38, 5x = 115, x=23
6. 11x-47 = 6x-2, 5x = 45, x=9
7. 13x-21 = 5x+75, 8x = 96, x=12
8. 5x+3+9x-33 = 180, 14x = 210, x=15
9. 8x-31 = 6x+3, 2x = 34, x=17
5y+35+6(17)+3 = 180, 5y = 40, y = 8
10. 29x-3+15x+7 = 180, 44x = 176, x=4
13y-17+15(4)+7 = 180, 13y = 130, y=10
1. x = 12
2. x = 7
3. x = 18
4. x = 5
5. x = 23
6. x = 9
7. x = 12
8. x = 15
9. x = 17; y = 8
10. x = 4; y = 10
To find the value of each missing variable(s), we would need to apply our knowledge of algebra. However, recall the following rules of angles in parallel lines:
corresponding angles are congruent (i.e. equal to each other)vertically opposite angles are congruent alternate angles are congruent same-side interior angles are supplementary (i.e. sum up to give 180°alternate exterior angles are congruent.Let's solve the given problems as shown below given that line l is parallel to line m:
1. [tex]58 = (5x - 2)[/tex] (corresponding angles)
solve for x
[tex]58 = 5x - 2\\58 + 2 = 5x - 2 +2[/tex] (addition property of equality)
[tex]60 = 5x \\\frac{60}{5} = \frac{5x}{5}[/tex](division property of equality)
[tex]12 = x\\x = 12[/tex]
2. [tex]134 = 16x+22[/tex] (alternate exterior angles)
[tex]\\134 - 22 = 16x +22-22[/tex] (subtraction property of equality)
[tex]134 - 22 = 16x +22-22\\112 = 16x\\\frac{112}{16} = \frac{16x}{16}[/tex](division property of equality)
[tex]7 = x\\x = 7[/tex]
3. [tex]7x - 1 = 125[/tex] (alternate angles)
[tex]7x - 1 + 1 = 125 + 1\\7x = 126\\\frac{7x}{7} = \frac{126}{7} \\x = 18[/tex]
4. [tex](9x+2) + 133 = 180[/tex] (same-side interior angles)
[tex]9x+2 + 133 = 180\\9x + 135 = 180\\9x + 135 - 135 = 180 - 135\\9x = 45\\\frac{9x}{9} = \frac{45}{9} \\x = 5[/tex]
5. [tex]3x+38 = 8x-77[/tex] (alternate exterior angles)
[tex]77 + 38 = 8x - 3x\\115 = 5x\\\frac{115}{5} = \frac{5x}{5} \\23 = x\\x = 23[/tex]
6. [tex]6x-2 = 11x-47[/tex] (corresponding angles)
[tex]6x-2 = 11x-47\\47 - 2 = 11x - 6x\\45 = 5x\\x = 9[/tex]
7. [tex]5x+75 = 13x - 21[/tex] (alternate angles)
[tex]5x+75 = 13x - 21\\21 + 75 = 13x - 5x\\96 = 8x\\12 = x\\x = 12[/tex]
8. [tex](5x+3)+(9x-33)= 180[/tex] (same-side interior angles)
[tex]5x+3+9x-33= 180\\14x - 30 = 180\\14x - 30 + 30 = 180 + 30\\14x = 210\\x = 15[/tex]
9. [tex]8x-31 = 6x+3[/tex] (alternate angles)
[tex]8x - 6x = 31 + 3\\2x = 34\\x = 17[/tex]
Solve for y
[tex](5y + 35) + (6x + 3) = 180[/tex] (same-side interior angles)
[tex]5y + 35 + 6x + 3 = 180\\[/tex]
Plug in the value of x
[tex]5y + 35 + 6(17) + 3 = 180\\5y + 35 + 102 + 3 = 180\\5y + 140 = 180\\5y = 180 - 140\\5y = 40\\y = 8[/tex]
10. [tex](29x-3)+(15x+7) = 180[/tex](supplementary angles)
Solve for y
[tex]13y - 17 = 29x - 3[/tex] (alternate exterior angles)
Plug in the value of x
[tex]13y - 17 = 29(4) - 3\\13y - 17 = 116 - 3\\13y - 17 = 113\\13y = 113 + 17\\13y = 130\\y = 10\\[/tex]
Learn more about parallel lines here:
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For the function y =[tex]3x^{2}[/tex]– 2x + 5, what is the output if the input is 4?
A) 9
B) 21
C) 45
C) 51
ill give brainly to first correct answer
Answers
Answer:
C
Step-by-step explanation:
The input is the value of x. Substitute x = 4 into y for output
y = 3(4)² - 2(4) + 5 = 3(16) - 8 + 5 = 48 - 8 + 5 = 45
Thus the output is 45 → C
Find the value of x please
Answers
Step-by-step explanation:
In isoceles triangle two sides are equal and two angles are equal.
Then,
∠R = ∠T = (5x-40)°
Then,
∠RTS + ∠STU = 180° (bcoz it lies on a straight line)
(5x-40) ° + 5x = 180°
10x = 220°
x = 22°
Therefore,
Option A is correct✔
confused on this plz help real quick
Answers
Im sorry i cant help but if it lets you try to copy paste the question onto whatever you can
Determine if this is a function or not based on the graph
O yes
O no
Answers
Answer:
yes
Step-by-step explanation:
brainiest plz
Which is greater: 6/30 or 12/40
Answers
Answer:
12/40
Step-by-step explanation:
match the denominators so have 6/30 be multiplies with 40/40 and 12/40 multiplied with 30/30
6/30(40/40) = 240/1200
12/40(30/30) = 360/1200
As we can see, 360/1200 is bigger than 240/1200, therefore 12/40 is bigger
Answer: [tex]\frac{12}{40}[/tex]
Step-by-step explanation:
Hey there!
-If we were to simplify [tex]\frac{6}{30}[/tex] we would be able to simplify it to [tex]\frac{1}{5}[/tex].
-Multiply [tex]\frac{6}{30}[/tex] by 100 and you get 20 .
-Now compare that with [tex]\frac{3}{10}[/tex] which is [tex]\frac{12}{40}[/tex] simplified.
-Multiply [tex]\frac{12}{40}[/tex] by 100 and you get 30.
-We can now tell that [tex]\frac{12}{40}[/tex] is greater than [tex]\frac{6}{30}[/tex].
~I hope I helped :)~
The numbers 22 and 35 are relatively prime. TrueFalse
Answers
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤if anyone knows pls help!!! will give the brainliest!!
Answers
Answer:
I think A would be the right answer.
Answer:
A)
Step-by-step explanation:
V: y = -4; H: x = -6
hope it helps!
The endpoints of QA are Q (-8,6) and A (-5,3). What the coordinates of the midpoint of Q4 ?
A (-6.5, 4.5)
B (-1.5, 4.5)
D 17, 4.5)
Answers
Answer:
A
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = Q(- 8, 6) and (x₂, y₂ ) = A(- 5, 3) , then
midpoint = ( [tex]\frac{-8-5}{2}[/tex], [tex]\frac{6+3}{2}[/tex] ) = ( [tex]\frac{-13}{2}[/tex], [tex]\frac{9}{2}[/tex] ) = (- 6.5, 4.5 ) → A
what is the distance between piont S (3 -2) and point T (-5, -2)
Answers
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
consider the following equation x+4/x-6+3/2x+5=7 What are the constraints on x? Select all that apply.
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Complete the proof!!!
Answers
Answer:
The correct options are;
1. Definition of supplementary angles
2. m∠1 + m∠2 = m∠1 + m∠3
3. m∠2 = m∠3
4. Definition of congruent angles
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠1 and ∠2 are supplementary [tex]{}[/tex] Given
∠1 and ∠3 are supplementary [tex]{}[/tex]
2. m∠1 + m∠2 = 180° [tex]{}[/tex] (1) Definition of supplementary angles
m∠1 + m∠3 = 180°
3. (2) m∠1 + m∠2 = m∠1 + m∠3 [tex]{}[/tex] Transitive Property
4. (3) m∠2 = m∠3 [tex]{}[/tex] Subtraction property of equality
5. ∠2 ≅ ∠3 [tex]{}[/tex] (4) Definition of congruent angles
Given that angles ∠1 and ∠2 are supplementary, we have, ∠1 + ∠2 = 180°
Given that angles ∠1 and ∠3 are also supplementary, we also have, ∠1 + ∠3 = 180°
∴ ∠1 + ∠2 = 180° = ∠1 + ∠3
∠1 + ∠2 = ∠1 + ∠3
∠1 + ∠2 - ∠1 = ∠1 + ∠3 - ∠1
∴ ∠2 = ∠3
∴ ∠2 ≅ ∠3, by definition of congruent angles.
How do I plot this?
Answers
order these numbers from from least to greatest
27 3/9 1/5 1.23 75%
Answers
Answer:
I don't know...jkkk
Step-by-step explanation:
First put the fractions and percents as decimals
27, 0.5,0.2, 1.23, 0.75
Now you can easily order them from LEAST to GREATEST
0.2,0.5,0.75,1.23,27
Hope this helps! :)
Find two consecutive whole numbers that the square root of 85 lies between.
Answers
9514 1404 393
Answer:
9, 10
Step-by-step explanation:
It helps if you're familiar with the squares of small integers.
9^2 = 81
(√85)^2 = 85
10^2 = 100
The square root of 85 lies between 9 and 10.
_____
Of course, you can find this answer using your calculator:
√85 ≈ 9.2195, a number between 9 and 10
A three-and-a-half foot stick is cut into two pieces. One piece is
1.65 ft long. How long is the other piece?
Answers
Answer:
1.4
Step-by-step explanation:
3.05 is the length of the stick and 1.65 is one part if the stick si we subtract 1.65 from 3.05 to find the length of the other piece
Suppose it takes John 45 minutes to run 4 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute
Answers
Answer:
28 minutes
Step-by-step explanation:
4 miles = 45 minutes
4 kilometers = (m) minutes
45 ÷ 4= 11.25
4 kilos= 2.48548 miles
2.48548 x 11.25= 27.96165
m = 28 minutes
- I hope this helps have a great day
John will covers 4 km distance in 28 minutes.
What is Rate of change?
A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.
Here, it is given that John takes 45 minutes to run 4 miles and is known that :
1 mile ≈ 1.61 km
that is for,
4 mile ≈ 6.44 km
John covers 6.44 km in 45 minutes, John will cover 4 km in :
6.44 km ⇒ 45 minutes
1 km ⇒ 45/6.44 minutes
4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes
Therefore, John will covers 4 km distance in 28 minutes.
Read more about ratio at:
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Is this a function?
Answers
nah buddy
Step-by-step explanation:
Choose ASA, SAA, or neither
to describe this figure.
A
B
ASA
SAA
neither
Answers
Answer:
SAA
Step-by-step explanation:
there is a side, and vertical angles equal eachother so it would be SAA
PLZ HELP I TRIED LIKE 20 TIMES AND GOT IT WRONG
Answers
Answer:
(5نغنفنفتغن6نغنص7
76ق3332
54ىكللعغص3تةوعخو
Hope this helps
jackie rode his bike 20 miles per hour for 1 1/2 hours. how far did he ride?
Answers
Answer:
30 miles.
Step-by-step explanation:
To calculate distance traveled, you multiply the miles per hour by the number of miles. In this problem, it is 20 times 1.5 or 20 times 1 1/2. This equals 30 miles per hour.
really confused on this! help is appreciated!!
Answers
a company dyes two sizes of rugs a small rug requires 8 hours for dyeing and a medium-sized rug requires 12 hours of dyeing the dryers have to make at least 22 guys ansld that must do it in less than 240 hours let x equal small rugs abd u equal medium rugs state a possible ordered pair solution for the system of inequalities justify mathematically using both inequalities
Answers
Answer:
C says 8x+12y, but D says 12x+8y, instead of 8x and 12y. The correct answer is C, I guess
Step-by-step explanation:
Let x=small rugs and y=medium rugs. It takes 8 hours to dye a small rug, so you would write 8x. It takes 12 hours to dye a small rug, so you would write 12y. Those two would need to be added together. The dyer needs to dye at least 22 rugs in 240 hours, so you would need a less than or = to sign.
I'm not sure which choice has the line beneath, indicating that the sign is a "less than or equal to" sign, but the answer is gonna be either C or D.
8x+12y≤240, or 12y+8x≤240
How many baby's does it take to paint a wall
Answers
Answer:
12 I think?
Step-by-step explanation:
The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.
It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.
Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.
To know more about dark humor, click here.
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------------The given question is incomplete, the complete question is:
"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------
In the figure, angle I measures 56° and angle A measures 38°.
The measurement of angle B, C, F is
Answers
Answer:
B = 34 C = 108 F = 94
Step-by-step explanation:
Answer:
B = 34 C = 108 F = 72
Step-by-step explanation:
It's not my answer look in the comments for the other answer :P
State whether the equation represents a linear or a nonlinear function. Explain y=7(x--8)
Answers
Answer: Is this for nine grade
Step-by-step explanation:
Jasmine can buy 2.25 pounds of beef for $7.98.
What is the unit price per pound of meat?
I haven't done unit rate in a while and I can't find it in my notes. So could you explain how to find unit rate too?
Answers
Answer:3.54
Step-by-step explanation:You would divide the price by the amount.
-22 = -11h what does H equal??
Answers
Answer:
h = 2
Step-by-step explanation:
-22 = -11h
/-11 /-11
2 = h
hope this helps
Answer:
[tex]h=2[/tex]
Step-by-step explanation:
STEP 1: Rewrite the equation as [tex]-11h=-22[/tex].
[tex]-11h=-22[/tex]
STEP 2: Divide each term by [tex]-11[/tex] and simplify.
[tex]h=2[/tex]
I.Write the algebraic expressions for the following statements:
1. The sum of a and b subtracted from 5.
2. A number added to half of itself.
3. 2 less than 2times of x.
4. Product of numbers m and n added to 7.
5. One-third of the sum p and q subtracted from the product of p and q.
6. A number a multiplied by itself.
Answers
Answer:
1. 5 - (a+b)
2. n + 0.5n = 1.5 n
3. 2x - 2
4. 7 + mn
5. pq - (p+q)/3
6. a*a = a^2
Step-by-step explanation: