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
What is the solution to the system of equations below?
y=-x+6 and y-x-6
O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)
Answer:
O (-18, 12)
Step-by-step explanation:
brainiest plz
What is the slope of the line? (Linear equations and slope quiz I-ready)
Answer: 2
Step-by-step explanation:
The slope of the linear graph in the question obtained using the ratio of the rise and run of the line is 2.
Recall :
Slope = Rise / Run
From the graph :
Rise = y2 - y1 = 5 - (-1) = 5 + 1 = 6
Run = x2 - x1 = 2 - (-1) = 2 + 1 = 3
The slope of the graph can be expressed thus :
Slope = Rise / Run = 6 /3 = 2Therefore, the slope of the line in the graph attached is 2
Learn more :https://brainly.com/question/18405415
Which of the following shows the correct solution steps and solution to
7x – 4 = –18?
A.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
2
2
7
x
7
=
−
2
2
7
x
=
−
2
2
7
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−22
=
7
−22
=
7
−22
B.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
−
7
=
−
1
4
−
7
x
=
2
7x−4
7x−4+4
7x
−7
7x
x
=−18
=−18+4
=−14
=
−7
−14
=2
C.
7
x
−
4
=
−
1
8
7
x
−
4
+
4
=
−
1
8
+
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4+4
7x
7
7x
x
=−18
=−18+4
=−14
=
7
−14
=−2
D.
7
x
−
4
=
−
1
8
7
x
−
4
−
4
=
−
1
8
−
4
7
x
=
−
1
4
7
x
7
=
−
1
4
7
x
=
−
2
7x−4
7x−4−4
7x
7
7x
x
=−18
=−18−4
=−14
=
7
−14
=−2
Answer:
Simplify 7\times -47×−4 to -28−28.
-28=-18
−28=−18
2 Since -28=-18−28=−18 is false, there is no solution.
No Solution
If x= −5, which equation is true?
a] 2x−4= −14
b] 3(4−x)=3
c] 2(x−4)= −14
d] 3(10−x)=21
Shade row 3 and column C.
Answer:
Shade in all of the boxes to the right of 3, and all of the boxes above the C.
You are selling items at the football game to raise money for the school's athletic teams. You
sell pizza for $5 per slice and drinks for $3 per cup. Your sales totaled $1020. If you sold 84
slices of pizza, how many drinks did you sell?
Need help asapp
Answer:
200 cups of drinks sold
Answer:
200 cups
Step-by-step explanation:
A map of Utah has a scale of 1 cm: 30 mi. The border of Utah measures
about 3.7 cm. How long is the actual border of Utah and Wyoming? Show
your work to receive full credit
Answer:
The actual border of Utah and Wyoming is 111 miles long.
Step-by-step explanation:
We can use proportion to solve this!
[tex] \frac{1 \: cm}{30 \: mi} = \frac{3.7 \: cm}{x} \\ \\ \frac{111}{1} = \frac{1x}{1} \\ \\ 111 = x[/tex]
what is the radius of x?
Answer:
To get the radius, divide the diameter by 2.
Answer:
to get the radius you have to divided the diameter by 2
Step-by-step explanation:
In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?
Answer:
70 degrees
Step-by-step explanation:
The measure of all angles in a triangle are 180 always
1. Add 50 + 60 = 110
2. 180 - 110 = 70
Hope that helps dude
Can someone help me fill in the ratio table please!!
Answer:
[tex]A[/tex] [tex]n[/tex] [tex]s[/tex] [tex]w[/tex] [tex]e[/tex] [tex]r[/tex] [tex]*[/tex] [tex]B[/tex] [tex]e[/tex] [tex]l[/tex] [tex]o[/tex] [tex]w[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]Orange[/tex] [tex]fabric[/tex] = [tex]\frac{1}{3}[/tex] [tex]\frac{2}{3}[/tex] [tex]\frac{3}{3}[/tex] [tex]\frac{4}{3}[/tex][tex]--------------------------------------------[/tex]
[tex]Yellow[/tex] [tex]fabric[/tex] = [tex]\frac{8}{3}[/tex] [tex]\frac{16}{3}[/tex] [tex]\frac{24}{3}[/tex] [tex]\frac{32}{3}[/tex][tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Reduce to simplest form.
-5/8+(-8/5)=?
Answer:
[tex]-2\frac{9}{40}[/tex]
Step-by-step explanation:
[tex]-\frac{5}{8}+(-\frac{8}{5}) = -\frac{25}{40}-\frac{64}{40}[/tex] (find common denominator)
[tex]=-\frac{89}{40}[/tex]
[tex]=-2\frac{9}{40}[/tex] (reduce to simplest form)
Hope this helps :)
the temperature at noon at an Antarctic weather center was –15 °C. At midnight it had fallen by 12 °C. What was the temperature at midnight?
Answer:
-27 °C
Step-by-step explanation:
-15 -12 = -27
One week, Ethan earned $391.00 at his job when he worked for 23 hours. If he is paid the same hourly wage, how many hours would he have to work the next week to earn $102.00?
Answer:
6 hrs.
Step-by-step explanation:
So 391.00 can just be converted to 391 because they mean the same thing, so since we have $391 for 23 hrs, we can divde those, which gives us 17, this answer would show that Ethan earns $17 a hour, so if we divide how much he earns by the hour by how much money he could earn by next week ( 102/17), that would give us 6, Therefore, Ethan would need to work 6 hours for $102.00
50 points please help me with this. Dont spam random things. If your smart answer this please
Answer:
top one
Step-by-step explanation:
Answer: It's B.
Step-by-step explanation: this is 1st grade math. good luck!
A System of Linear Equations consist of.....
O three or more lines.
O at least one line.
O at least two lines.
O more than two lines.
Answer:
B. At least one line
Step-by-step explanation:
Two lines can overlap on the coordinate plane, so it appears to be one line.
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
Write an equation of the line that passes through (7,10) and is perpendicular to the line y =1/2x-9.
Will give brainliest, Please explain how you got your answer!
Write an equivalent expression.
(x + 7) + 3y
For every | | followers Matthew has, Kevin has | |followers.
PLEASE HELP ILL MARK BRAINLEST
Answer:
For every 5 followers Mathew has, Kevin will have 10
Step-by-step explanation:
Answer:
For every 5 followers Matthew has, Kevin has 10 followers.
Step-by-step explanation:
what is excess reagent
Answer:
We are commonly asked to find the extra reactants in a chemical equation. We can find it after balancing the equation and seeing the amount of moles that are present for each substance. Hence in chemistry and thermodynamic reactions it is the extra reactants that are not used up during the combustion process and therefore is excess of a said element.There are also limiting reagent which is the substance that limits the amount that can react and can be produced in a chemical reactionRate positively and give brainlist
The limiting reagent in a chemical reaction is a reactant that is totally consumed when the chemical reaction is completed. The amount of product formed is limited by this reagent, since the reaction cannot continue without it.
why is excess reagent used:
A good way to ensure that one reactant fully reacts is to use an excess of the other reactant. This is financially efficient when one of the reactants is very cheap. When one reactant is in excess, there will always be some left over.
how do you find the excess reagent:
The reactant that produces a lesser amount of product is the limiting reagent. The reactant that produces a larger amount of product is the excess reagent. To find the amount of remaining excess reactant, subtract the mass of excess reagent consumed from the total mass of excess reagent given
Which sample size would give the
best estimate of the population
mean?
Answer choices:
18
30
45
60
ARE THESE CORRECT YES OR NO TYPE ONLY IF YOU KNOW THANKS I REALLY NEED THIS!
Answer:
yes I think im not an expert but i think
Step-by-step explanation:
Answer:
Yes, all of them are correct.
Type the correct answer in each box.
If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = ? and csc 105º = ?
Answer:
[tex]\cos(105^\circ)\approx-0.26\text{ and } \csc(105^\circ)\approx1.03[/tex]
Step-by-step explanation:
We are given that:
[tex]\cos(-105^\circ)\approx-0.26\text{ and } \csc(-105^\circ)\approx-1.03[/tex]
And we want to find:
[tex]\cos(105^\circ)\text{ and } \csc(105^\circ)[/tex]
Part A)
Remember that cosine (and secant) is an even function. By definition, this means that:
[tex]\cos(\theta^\circ)=\cos(-\theta^\circ)[/tex]
Therefore, since we know that cos(-105°) is about -0.26, it follows from the definition that:
[tex]\cos(-105^\circ)=\cos(105^\circ)\approx-0.26[/tex]
Part B)
Remember that cosecant (and sine) is an odd function. By definition, this means that:
[tex]\csc(-\theta^\circ)=-\csc(\theta^\circ)[/tex]
We know that csc(-105°) is about -1.03.
By the above definition, we can rewrite csc(105°) as csc(-(-105°)) or -csc(-105°).
Hence, it follows that:
[tex]\csc(105^\circ)=-\csc(-105^\circ)=-(-1.03)=1.03[/tex]
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
If P=(-3,5) and Q=(1,9), find the midpoint of the segment PQ
Answer:
[tex](-1,7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point P(-3, 5)
Point Q(1, 9)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute {MF]: [tex](\frac{-3+1}{2},\frac{5+9}{2})[/tex]Add: [tex](\frac{-2}{2},\frac{14}{2})[/tex]Divide: [tex](-1,7)[/tex]Been stuck on this for hours, it's the Law of Sines. 25 POINTS!!
Answer:
Step-by-step explanation:
(Sin27) / 11 = (sin x) / 15
cross multiply
15 sin27 = 11 sin x
keep in calculator as you divide 15sin27 by 11.
sin x = .6190779542
do sin ^ -1 (.6190779542) (It’s a key on the calculator.)
x = 38.25*
9514 1404 393
Answer:
38.2°
Step-by-step explanation:
According to the equation you are give, ...
sin(x)/15 = sin(27°)/11
Multiplying by 15 gives you ...
sin(x) = 15·sin(27°)/11 ≈ 0.619078
The inverse sine function is used to find the angle x. It may show as sin⁻¹ on your calculator.
x = arcsin(0.619078)
x ≈ 38.2°
_____
Additional comment
x is shown in the figure as an acute angle, so that is the value we have chosen. The other angle that has sin(x) = 0.619078 is the supplement of this, or 141.8°. The two solutions are shown in the 2nd and 3rd attachments.
Edgar is scuba diving 50 feet below the water. He is swimming to the surface at a rate of 3 feet per second. Write an equation to represent his depth, d, after s seconds.
Fill in the blank
d = __ s + __
(also to understand better we are doing the equation y = __ x + __ )
Answer:
d= 3s+50
Step-by-step explanation:
Hope this helped you!! Give brainliest..
AYYYYYYYYYYYYYYOOOOOOOOOOOOOOOOOOO
Get Ya free 25
Answer:
Ok
Step-by-step explanation:
Help please please please
[tex]1/2=0.5\\5/0.5=10[/tex]
The total surface area of a cone whose radius is 2 r and slant height 2l is
(A) 2πr (l + r)
(B) πr (l + 4 r )
(C) πr (l + r)
(D) 2πrl
please answer urgent
Answer:
[tex]A=4\pi r(l+r)[/tex]
Step-by-step explanation:
The total surface area of a cone is given by :
[tex]A=\pi rl+\pi r^2\\\\=\pi r(l+r)[/tex]
Put r = 2r and l = 2l in the above formula
[tex]A=\pi \times 2r(2l+2r)\\\\A=2\pi r(2l+2r)\\\\=2\pi r \times 2(l+r)\\\\=4\pi r(l+r)[/tex]
Hence, the total surface area of the cone is [tex]4\pi r(l+r)[/tex].