Answer:
41,636
Step-by-step explanation:
Easy, on each row, there are 28 seats, and we know there's 1487 rows in total.
Hence, number of rows multiplied by number of seats counted
1487 × 28
=41,636
(Dang, that's alot of seats then)
Write the equation in point-slope form. (4,-2) ; m=1/2
[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-2)~~ \text{and slope,}~ m =\dfrac 12\\\\\text{Point - slope form,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-2) = \dfrac 12(x-4)\\\\\implies y+2=\dfrac 12(x-4)[/tex]
(4,-2) are points [tex](x_1, y_1)[/tex] respectively and [tex]\frac{1}{2}[/tex] is the slope
Point-slope:
[tex]y-y_1 = m(x-x_1)[/tex]
Now you have to replace the variables with numbers
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Thus your equation would be:
[tex]y+2 = \frac{1}{2}(x-4)[/tex]
Hope this helped!
Mr. Vance opened an account with a deposit of $650.
• The bank pays 1.25% interest compounded annually on this account.
• Mr. Vance makes no additional deposits or withdrawals.
How much interest will the account have earned at the end of 12 years?
Answer:
$104.49
Step-by-step explanation:
The future value of the account is given by the formula ...
FV = P(1 +r)^t
The interest earned is the difference between that future value and the original amount deposited.
I = FV -P
__
For the given investment, rate, and time, we find the interest to be ...
I = $650((1 +0.0125)^12 -1) = $650(0.160755) = $104.49
Mr. Vance's account will have earned $104.49 in interest at the end of 12 years.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth of $3.20 per pound. what is the cost per pound of the blend?
$4.04 is the answer.
30 x $6.00 = $180
70 x $3.20 = $224
$180 + $224 = $404
404/100 = $4.04
The cost per pound of the blend will be $4.04.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Theresa blended 30 lbs of orange pekoe tea worth $6.00 per pound with 70 lbs of green tea worth $3.20 per pound.
Then the cost per pound of the blend will be
⇒ 30 x $6.00 + 70 x $3.20
⇒ $180 + $224
⇒ $404
The cost per pound of the blend will be
⇒ $404 / 100
⇒ $4.04
The cost per pound of the blend will be $4.04.
More about the Algebra link is given below.
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Classify each of the following angles as acute, obtuse,right,straight, or reflex
Answer:
The first one is obtuse because it is larger than 90 degrees.
The second one is reflex shown below:
Step-by-step explanation:
Find the angle which is vertical to angle 5 and write your result in the empty box.
Answer:
< 2.
Step-by-step explanation:
< 2 is vertical to < 5.
In the UK we say they are opposite angles, which, to me, makes more sense.
how many degrees is 7/9 of a semicircle
Answer:
140
Step-by-step explanation:
A semicircle is 180 degrees
7/9x180=140
Answer: 7/9 degrees = 0.00216 cir
Step-by-step explanation:
The angle in circles is equal to the degrees divided by 360. ( For example, here's how to convert 500 degrees to circles using the formula above.500° = (500 ÷ 360) = 1.388889 cir)
Can someone help me understand how to solve 4 please. Would really appreciate it.
The length of RT from the figure is 8 units
Pythagoras theorem applicationIn order to find the measure of RT, we will use the pythagoras theorem. According to the theorem;
hypotenuse² = adjacent² + opposite²
From the given figure;
ST = hyp = 10
RS = adj = 6
Find RT
RT = √10² - 6²
RT = √100 - 36
RT = √64
RT = 8 units
Hence the length of RT from the figure is 8 units
Learn more on pythagoras theorem here: https://brainly.com/question/343682
5. Mount Logan in the Yukon is 3. 702 miles high. Mount McKinley in Alaska is 3. 848 miles high and Pico de Orizaba in Mexico is 3. 571 miles high. Order these mountains by height from greatest to least. *
1 point
Logan, McKinley, Pico de Orizaba
McKinley, Logan, Pico de Orizaba
Pico de Orizaba, Logan, McKinley
Logan, Pico de Orizaba, McKinley
Answer:
McKinley, Logan, Pico de Orizaba
Step-by-step explanation:
How was it determined that the base is 8 units long and the height is 3 units?
Answer:
Each one of the little squares is called a unit. they count in a line how many units are on the base. they did the same upward for the height
Step-by-step explanation:
what is the mean of the data set 17,9,11,7
Answer:
11
Step-by-step explanation:
Mean - add all the numbers up and divide by the amount of numbers you have.
Add all the numbers up-
17 + 9 + 11 + 7 = 44
Divide by the amount of numbers you have, since you have 4, divide by 4
44/4 = 11
11 would be your answer!
I hope it helps! Have a great day!
Muffin ^^
A. Determine the number of diagonals that can be drawn in each polygon.
1. Triangle
2. Pentagon
3. 15-sided polygon
4. 18-sided polygon
Answer:
Here is your answer...
Step-by-step explanation:
1. Triangle = 0
2. Pentagon = 5
3. 15-sided polygon = 90
4. 18-sided polygon = 135
Help does this even make sense
Answer:
You can set two simultaneous equations and solve it
Let the cost of a plate be x, and the cost of a cup be y.
5x + 4y = 19.6 --- 1
6x + 5y = 23.8 --- 2
25x + 20y = 98 --- 3
24x + 20y = 95.2 --- 4
3 - 4 : x = 2.8
Sub x = 2.8 into 1
5(2.8) + 4y = 19.6
4y = 5.6
y = 1.4
so 1 plate costs 2.8 dollars and 1 cup costs 1.4 dollars
hope this helps!!! please mark brainliest!!!!
Green had d dollars. He spent $821 on a new TV. Now he has $121 left. How much money did he have before he bought a TV?
If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answer:
c
Step-by-step explanation:
What is the y-intercept and the x- intercept(s)?
Answer:
y-intercept is 2
x- intercept(s) are -4 and 2
Step-by-step explanation:
y-intercept is where the line crosses the y line (vertical)
x- intercept is where the line crosses the x line (horizontal)
Find the digit 5 in each of these numbers.
15.2
3.5
The 5 in 3.5 is 1 place to the right of the 5 in 15.2.
Which sentence correctly compares the values?
each number has its place on the number line so true
Step-by-step explanation:
and 5 is one place to the left in 15.2
Select all the expressions that are equivalent
Answer:
B, C, D
Step-by-step explanation:
One of the rules of exponents is that an exponent in the numerator is equivalent to the opposite of the same exponent in the denominator. That means ...
[tex]4^{-3}=\dfrac{1}{4^3}\qquad\text{matches C.}[/tex]
Another rule of exponents is that an exponent represents repeated multiplication. If a factor can be written using an exponent, the exponents are effectively multiplied.
[tex]4^{-3}=(2^2)^{-3}=2^{2(-3)}=2^{-6}\qquad\text{matches B.}[/tex]
Of course, that repeated multiplication can be shown explicitly:
[tex]\dfrac{1}{4^3}=\dfrac{1}{4}\cdot\dfrac{1}{4}\cdot\dfrac{1}{4}\qquad\text{matches D.}[/tex]
The equivalent expressions to 4^(-3) are B, C, D.
_____
Additional comment
The expression of G evaluates to ...
[tex]\dfrac{8^{-1}}{2^2}=(2^3)^{-1}\cdot2^{-2}=2^{3(-1)-2}=2^{-5}\qquad\text{not equivalent}[/tex]
What percent is equivalent to 24\50? 24% 48% 50% 52%
Answer:
48%
Step-by-step explanation:
If you convert 24/50 to a percentage the answer is 48%
[tex] \frac{24}{50} [/tex]
to find:the equivalent percent.
solution:[tex] \frac{24}{50} [/tex]
[tex] = 0.48[/tex]
[tex]0.48 \times 100\%[/tex]
[tex] = 48\%[/tex]
therefore, the equivalent percent of 24/50 is 48%
HELPPPP really quick
Answer:
y= 4 - 2/3 x, x= x
Step-by-step explanation: Substitute y=4 -2/3x [2x=12-3 (4-2/3x)]
Simplify: [2x=2x]
For y = 4- 2/3x
Expressing y in terms of x: y= 4 -2/3x
So the solutions to the system of Equations are: y = 4 - 2/3 x, x = x
The model below is shaded to represent a fraction which fraction is equivalent to 2/8 in fractions
Answer:
what are the models
Step-by-step explanation:
but 4/16 and ¼ are both equivalent fractions for 2/8
which month has 31 days?
A- October
B- June
C-September
Answer:
October
Step-by-step explanation:
because June and September have 30
days
Answer:
A - October
Step-by-step explanation:
October has 31 daysJune has 30 daysSeptember has 30 days⇒ October is the month which has 31 days
What is the measure of \angle D∠Dangle, D?
Answer:
63⁰
Step-by-step explanation:
As in cyclic quadrilateral sum of opposite angles us equal to 180⁰
I would be very grateful if you help me
I think
1.3
2.15cm²
3.5
Sorry!!I don't have time ok
I'll explain later but i wrote the answer 1-3 ok
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
Find the class width of the distribution and mean
Answer:
Class width = 5
Mean = 20.375
Step-by-step explanation:
To find the class widths, find the difference between the upper and lower boundaries.
As there are gaps between the classes, the lower boundaries will be 0.5 less and the upper boundaries will be 0.5 more.
Class width = 10.5 - 5.5 = 5
To find the mean:
find the mid-points of the classesmultiply the mid-points by the frequency of each classadd thesedivide by the sum of the frequenciesThe easiest way to do this is to create a table (see attached).
[tex]\textsf{mean}=\dfrac{\sum fx}{\sum f}=\dfrac{815}{40}=20.375[/tex]
HEL;P PEWLASE PEALSE
[tex]\sin \angle F~~= \dfrac{\text{Perpendicular}}{\text{Hypotenuse}}\\\\~~~~~~~~~~~~=\dfrac{GE}{EF}\\\\~~~~~~~~~~~~=\dfrac 2 3\\\\\implies \angle F=\sin^{-1} \left(\dfrac 23} \right)=41.8^{\circ}\\\\\text{Hence the measure of angle F is}~ 41.8^{\circ}[/tex]
AN
O A. SAS
DB. HL
O C. LL
O D. ASA
O E. LA
F. AAS
SUBMIT
Answer:
Its SAS( side angle side) axiom.
Marina is spinning a spinner with 15 equal sectors labeled 1 through 15. What is P(factor of 10)? 115 415 13 23
Answer:
4/15
Step-by-step explanation:
Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that Marina is spinning a spinner with 15 equal sectors labeled 1 through 15.
We have to find the probability P(factor of 10)
The factors of 10 are 1, 2, 5, and 10.
Out of the 15 sectors, there are four sectors that correspond to the factors of 10 (sectors 1, 2, 5, and 10).
Therefore, the probability of landing on a sector that corresponds to a factor of 10 is:
P(factor of 10) = 4/15
Hence, Option B is correct, when Marina is spinning a spinner with 15 equal sectors labeled 1 through 15 then P(factor of 10) is 4/15.
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Suppose that you have a square pyramid like the one pictured. Which plane section will produce a trapezoid? Question 17 options: A) A cross section cut parallel with the bottom B) A cut parallel to the vertical axis, but off the vertical axis C) A cut parallel to the vertical axis, directly through the vertical axis D) Cutting off one of the bottom corners
Answer:
B
Step-by-step explanation:
Cut vertical but off vertcal axis.
A will produce a square and C and D will produce triangles.
[tex]\tt If\;\; \sqrt[3]{x}+a=b,\:then \; x=[/tex]
Answer:
[tex]x=(b-a)^{3}[/tex]
Step-by-step explanation:
Subtract ‘a’ from both sidesThis gives [tex]\sqrt[3]{x}=b-a[/tex]Cube both sidesThis gives [tex]x=(b-a)^{3}[/tex]Answer:
x = b³ - 3b²a + 3a²b - a³
Step-by-step explanation:
Given:
[tex]\sqrt[3]{x} + a = b[/tex]
To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.
Subtract "a" both sides to isolate ∛x:
[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]
[tex]\implies \sqrt[3]{x} = b - a[/tex]
Cube both sides to remove the cube root on the L.H.S:
[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]
[tex]\implies x= (b - a)^{3}[/tex]
Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³
[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]
[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]
Thus, the value of x is b³ - 3b²a + 3a²b - a³.