Answer:
126
Step-by-step explanation:
The number of seats in each row can be expressed in the sequence
50, 54, 58, 62, ..... ,
This is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 50 and d = 4 , then
a₂₀ = 50 + (19 × 4) = 50 + 76 = 126
That is there are 126 seats in the 20th row
Please select the best answer from the choices provided
A
B
C
D
Answer:
Option A
Step-by-step explanation:
[tex]A=\begin{bmatrix}-3 & -9 & -3\\ -4 & -3 & 9\\ 7 & 9 & -10\end{bmatrix}[/tex]
[tex]-7A=\begin{bmatrix}21 & 63 & 21\\ 28 & 21 & -63\\ -49 & -63 & 70\end{bmatrix}[/tex]
[tex]B=\begin{bmatrix}9 & 1 & 6\\ 3 & -10 & 5\\ -1 & 9 & -9\end{bmatrix}[/tex]
[tex]-4B=\begin{bmatrix}-36 & -4 & -24\\ -12 & 40 & -20\\ 4 & -36 & 36\end{bmatrix}[/tex]
[tex]-7A-4B=\begin{bmatrix}-15 & 59 & -3\\ 16 & 61 & -83\\ -45 & -99 & 106\end{bmatrix}[/tex]
Option A is the answer.
will mark brain list
Answer:
3 bags
Step-by-step explanation:
Mr. Clark plans to spend no more than $400 on sandwiches and water for a work meeting. Each case of water costs $7.00 and each sandwich costs $5.00. Which inequality would Mr. Clark use to determine how many sandwiches, s, and how many cases of water, w, he can buy?
Answer:
[tex]7w+5s\leq 400[/tex]
Step-by-step explanation:
Money to be spent is not more than $400.
Cost of a case of water = $7
Cost of each sandwich = $5
Let number of cases of water bought be [tex]w[/tex]
Number of sandwiches bought be [tex]s[/tex]
From the question we get
[tex]7w+5s\leq 400[/tex]
The inequality which would determine how many sandwiches, and how many cases of water that can be bought is [tex]7w+5s\leq 400[/tex].
jackson is making lemonade for a class party. he uses 3 tablespoons of lemonade mix for each 6 ounces of water. he wants to make four quarts of water. how much lemonade mix does jackson need?
how do I determine the lower quartile and the upper quartile
Step-by-step explanation:
the lower quartile is the value of the middle of the first set of numbers, the upper quartile is the middle of the second set.
for example: 2 2 5 (7 )2 0 9
the seven is the median.
upper quartile would be the zero.
and lower quartile would be the second two.
hope this helps!
which answer matches the sentence?
the quotient of a number n and 3 is 9
HELP ASAP
Answer:
n/3 = 9
Step-by-step explanation:
the quotient is the result you get from division
Find the measure of the exterior 21.
A. 10°
B. 70°
C. 110°
D. 150°
Answer:
im pretty sure that it is B please correct me if i am wrong:D
Answer:
B. 70°
Step-by-step explanation:
Question 3 of 7
A circular garden has a diameter of 10 yards. What is the area of the garden?
Use 3.14 for T.
Answer:
78.5 yards
Step-by-step explanation:
Essentially, to find the area of a circle simply use the equation pi r^2 (r=radius, or half of diameter). They also make it really easy by saying we may use 3.14 for pi, so really, we simply have to solve:
(3.14)5^2=78.5 yards
Hope this helps!
of the people at a tennis club are women.
The rest of the people are men.
What fraction of the people are men?
Answer:
3/5
Step-by-step explanation:
The question is incomplete. Let us use this as the complete version;
Of the people at a tennis club 2/5 are women. The rest of the people are men. What fraction of the people are men?
Let the total people be 1
Given
Fraction that are women = 2/5
Fraction that are men = 1 - 2/5
Fraction that are men = (5-2)/5
Fraction that are men = 3/5
Find the length of side x in simplest radical form with a rational denominator
Find RS 2x+15 3x+5 6x-37
Answer:2x+15+6x-37/2=3x+5
We move all terms to the left:
2x+15+6x-37/2-(3x+5)=0
We add all the numbers together, and all the variables
8x-(3x+5)+15-37/2=0
We get rid of parentheses
8x-3x-5+15-37/2=0
We multiply all the terms by the denominator
8x*2-3x*2-37-5*2+15*2=0
We add all the numbers together, and all the variables
8x*2-3x*2-17=0
Wy multiply elements
16x-6x-17=0
We add all the numbers together, and all the variables
10x-17=0
We move all terms containing x to the left, all other terms to the right
10x=17
x=17/10
x=1+7/10
The value of RS is 31.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
If RS and UT are parallel, then their corresponding sides are proportional. Thus,
RS/UT = (2x + 15)/(6x - 37)
Now,
RS/UT = (2x + 15)/(6x - 37)
Cross-multiplying.
(2x + 15)UT = RS(6x - 37)
Expanding and simplifying.
2xUT + 15UT = 6xRS - 37RS
Rearranging.
6xRS - 2xUT = 15UT + 37RS
Factorizing.
2x(3RS - UT) = 15UT + 37RS
Dividing both sides by (3RS - UT):
2x = (15UT + 37RS)/(3RS - UT)
Substituting RS = 2x + 15 and UT = 6x - 37:
2x = (15(6x - 37) + 37(2x + 15))/(3(2x + 15) - (6x - 37))
Simplifying
2x = (90x - 555 + 74x + 555)/(6x + 36)
2x = (164x)/(6x + 36)
Multiplying both sides by (6x + 36):
12x² + 72x = 164x
Simplifying
12x² - 92x = 0
Factoring out 4x.
4x(3x - 23) = 0
So,
x = 0 or x = 23/3.
Since x cannot be 0 (as it would make UT = -37, (which is not possible),
x = 23/3.
Substituting this value of x into RS = 2x + 15.
RS = 2(23/3) + 15 = 31
Thus,
The value of RS is 31.
Learn more about expressions here:
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Help me with this please
Answer: (-6,2)
-8 + (-4) / 2 = -6
-6 + 10 / 2 = 2
Answer:
M = (-6,2)
Step-by-step explanation:
To find a midpoint, you add the x-coordinates and divide by 2 to get the new x coordinate and then add the y-coordinates and divide by 2 to get the new y-coordinate.
(-8 + -4) /2 = x of M
(-6 + 10)/2 = y of M
M = (-6, 2)
12y-6x=-18
Solve equation for x variable
PLZZ HELP NOWW!!! so im doing algebra and we are doing adding and subracting polynomials and i really need help and there are 3 questions.
Answer:
where are the questions??
Step-by-step explanation:
Find the measure of angle E.Angles 2
Question 3 options:
40
63
77
117
Not enough information
Answer:
maybe c
Step-by-step explanation:
Answer: Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°.
Step-by-step explanation:
describe how to determine if a function is a linear or non-linear from a table
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Step-by-step explanation:
what is 1 + 3(x + 7) simplified
Need help with this thank you
Answer: x=56
Step-by-step explanation:
I started off by figuring out what’s the total internal angles for a pentagon which is 540
Then i did 72+ 3x +2x+89+99 = 540
And i solved for x=56
Somebody help me out please
Answer:
the correct answer is d.
Step-by-step explanation:
i hope this helps :)
Answer:
D.
Step-by-step explanation:
The line crosses the x-axis at 4 and the y-axis at -2.
Answer: D.
A bedroom door in the house has the same dimensions
as the front door, but the area of the base is 60 inches
rather than 72 inches. How much greater is the volume
of the front door than the bedroom door?
Answer:
12
Step-by-step explanation:
it will be 12 inches greater
The volume of the front door is 72 cubic inches greater than the volume of the bedroom door.
What is a rectangle?A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
Assuming that the bedroom door has the same height as the front door, we can use the formula for the volume of a rectangular solid to calculate the volume of each door.
Let L, W, and H be the length, width, and height of the front door, and let L' and W' be the length and width of the bedroom door.
We know that Lx W = 72 (since the area of the base is 72 square inches), and L' x W' = 60 (since the area of the base is 60 square inches).
The volume of the front door is given by V = LWH.
The volume of the bedroom door is given by V' = L'*W'*H.
Since the height is the same for both doors, we can divide V by V' to get the ratio of the volumes:
V/V' = (LWH)/(L'*W'H)
V/V' = (LW)/(L'*W') (canceling out the heights)
Substituting in the given values, we get:
V/V' = (72)/(60)
V/V' = 6/5
This means that the volume of the front door is 6/5 times the volume of the bedroom door.
To find the difference in volume, we can subtract the volume of the bedroom door from the volume of the front door:
V - V' = (6/5)*V' - V'
V - V' = (1/5)V'
V - V' = (1/5)(L'*W'*H)
Substituting in the values for L', W', and H, we get:
V - V' = (1/5)*(L' x W' x H)
V - V' = (1/5)(√(60) x √(60) x H)
V - V' = (1/5) x 360
V - V' = 72
Therefore,
The volume of the front door is 72 cubic inches greater than the volume of the bedroom door.
Learn more about rectangles here:
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B
15
C
9
A
Find the length of "a"using
the Pythagorean Theorem.
Enter
Answer:
12
Step-by-step explanation:
Im assuming that 15 is the hyp. of the triangle.
Multiply 9 twice and 15 twice
Then subtract 225-81 and you get 144. Find the square root and you get 12.
Use the scientific calculator if needed
Sin^-1 squareroot 2/2
Answer:
sin^-1 square root 2/2
=90
ok so i have 2 questions in math but whoever is savage enough to do them i will award brainliest so ya. PLZ DO THEM BOTH!
Answer:
Step-by-step explanation:
2x > -7
x > -7/2
if x > -7/2 2x+7
if x = -7/2 0
if x< -7/2 -2x-7
x-4+7>0
x+3 > 0
x > -3
If x > -3 (x-4)+7
if x = -3 0
if x< -3 (-x+4)-7
Ewen has 48 white tiles and 16 blue tiles.
Write down the ratio of the number of white tiles to the number of blue tiles.
Give your ratio in its simplest form
Answer:
3:1 in simplest form
Step-by-step explanation:
Solve the the equation by substitution
5x=-2y+48
x=-3y+20
Answer:
(8, 4)
Step-by-step explanation:
i hope this helps :)
Helpppppp!!!!!!!!!!!!!
28
The outlier would be 28 because it is much lower than the rest of the numbers in the group and removing it would make the mean increase.
Can someone plz help me with this one problem plz!!!
(I Will Mark Brainliest)!!!!
Answer:
(0, -8) and (8, -6) are two points on the graph.
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
Answer:
B
Step-by-step explanation:
A pilot took 1/2 hr to complete 1/3 of his trip. How much longer will it take him to complete his trip?
Answer:
1 hour
Step-by-step explanation:
(5y+4-y)/6 + 2 = 7 pls help
Answer:
13
Step-by-step explanation:
(5y+4-y)/6 + 2 = 7
(5y+4-y)/8=7
5y-y+4/8=7
4y+4/8=7
4y+4=56(Multiplied 8 and 7)
4y=56-4
4y=52
52 divided by 4 = 13
Hope this helped!