Answer:
a. 80 students
b. 92 students
Step-by-step explanation:
Represent arts students with A and Dance students with D.
So, we have,
n(A) = 35
n(D) = 57
Required
Determine n(A or D)
Solving (a):
Here, we have:
n(A and D) = 12
n(A or D) is calculated as thus:
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 12
n(A or D) = 80
b. From the given details
n(A and D) = 0 because both students are not mixed up as in (a) above
Using the same formula as (a).
n(A or D) = n(A) + n(D) - n(A and D)
n(A or D) = 35 + 57 - 0
n(A or D) = 92
Answer the following question. What is 6x-7-12x+3?
Answer:
-6x-4
Step-by-step explanation:
Combine 6x and −12x to get −6x.
−6x−7+3
Add −7 and 3 to get −4.
−6x−4
Answer:
-6x-4
Step-by-step explanation:
6x-12x
-6x
-7+3
-4
-6x-4
Identify the function family to which g(x) belongs. (g(x) x 3 + 5
10.2 is 21.25% of what number?
Answer: 48
Step-by-step explanation: Using proportions
48 is the number whose 21.5 percent is 10.2 .
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100.
How to convert a percentage into a number?Divide the given percentage by hundred to convert it into a number.
Let x be a number whose 21.5% is 10.2.
Therefore,
[tex]\frac{21.25}{100} (x) = 10.2[/tex]
⇒ [tex]21.25x = 10.2(100)[/tex]
⇒[tex]21.25x = 1020[/tex]
⇒[tex]x = \frac{1020}{21.25}[/tex]
⇒[tex]x = 48[/tex]
Hence, 48 is the number whose 21.5 percent is 10.2.
Find out more about percentage here:
https://brainly.com/question/13450942
#SPJ2
-5(x+2)+3x= Which expression can be written in the box on the other side of the equation
Answer:
O-2(x+5)
Step-by-step explanation:
I have to much time on my hands
Answer:
-2x-10
Step-by-step explanation:
-5(x+2)+3x=
Distribute
-5x-10 +3x
Combine like terms
-2x-10
Round 3528003 to the nearest million
Answer:
it would be rounded to about 4028003
Step-by-step explanation:
Answer:
4,000,000
Step-by-step explanation:
2 ton of rocks cost $2,920.00. What is the price per pound?
Answer:
$0.73 per pound
Step-by-step explanation:
2920 divided by 4000 (2 tons is 4000 pounds) equals 0.73
which number line represents the solution to -2X equals 4
Answer:
It is B
Step-by-step explanation:
NEED HELP GIVING 20 POINTS
Answer:
-5
Step-by-step explanation:
Just substitute the values and use a calculator to solve.
(a + 1)(a + 8) = 0
How to solve
5jx(4628j+92759375738.845647398k)/8664386847j+9464h
Answer:
7657897vhbhjgiyfutvbvgj .jhvbjh76567
Step-by-step explanation:
ilyvlkvlhv8nkbh;k.h
:)
a(x+y)-a(x-y) simplified .
Answer:
2ay
Step-by-step explanation:
a(x+y)-a(x-y)
Distribute
ax +ay - ax + ay
Combine like terms
2ay
Work Shown:
a(x+y)-a(x-y)
ax+ay-ax+ay
(ax-ax)+(ay+ay)
(0ax)+(2ay)
0+2ay
2ay
what is the tenth term in the sequence 25, 43, 61, 79, 97,....? a)187, b)151, c)133, d)115
Answer:
The tenth term would be: 187
Step-by-step explanation:
Best to make a table and apply the rule being used in order to find the pattern. The rule in this case is:
25 --- 43 --- 61 --- 79 --- 97--- ___ --- ___ --- ___ and so on
First we must find how 25 gets to 43, 61 to 79, and so on.
25 + 18 = 43
43 + 18 = 61
61 + 18 = 79
97 + 18 = 115
And you may continue this till you get to the tenth term!
6) 115
7) 133
8) 151
9) 169
10) 187
This is your answer!
A)
Answer:
A.187
Step-by-step explanation:
What the answer and how
help pls will mark brainliest
Answer:
The answer is C,
Step-by-step explanation:
Answer:
3+(-9) = -6 because -6 is 9 units to the left of 3.
Step by step explanation:
Kelvin LOSES 9 points in the 2nd round. This implies that we have to go to the left on the number line because he loses points. The point K is at the number 3 in the number line. When we go 9 units to the left, we get 3-9 = -6.
Determina la ecuación de recta de una recta en su forma estándar, tal que contiene al
punto(3,-4) y es paralela a la recta que pasa por (0,2) & (3,1).
The volume of the triangular prism is 54 cubic units
What is the value of x ?
3
5
7
9
The string is 30 centermeters long how long is string in inches
Answer:
11.811 inches
Step-by-step explanation:
every inch is 2.54 centimeters
Answer:
11.811 inches
Step-by-step explanation:
divide the length value by 2.54
Given the system of linear inequalities below Choose the point that represents a solution to the system
Answer:
listen to the song acquaintances by the weeknd its amazing
Simplify (x^2/7)^3/4
Answer:
(x^2)^(3/4)/7^(3/4)
Step-by-step explanation:
What is the 9th term in a geometric sequence with a common ratio of 2 and a first term of 3
Answer: 768
Step-by-step explanation:
Just multiply 2 by the first term (3) until u get to the 9th term
So 1.. 3*2= 6
2.. 6*2=12
3.. 12*2= 24
& so forth
So the 9th term is 768
Identify the binomial
Step-by-step explanation:
where are the numbers?
Please help quick
Divide polynomials using long division
(13q–91)÷(q–7)
Answer:
13
Step-by-step explanation:
q-7 can go into 13q-91 thirteen times.
Set up the long division sign with the q-7 on the outside and the 13q-91 inside.
Then, notice that to get to 13, you multiply the q and 7 by 13. This gets both terms to 13q and 91, which cancel out the numbers inside the long division sign.
Find the common difference of the arithmetic sequence -14,-5,4,...
Answer:
It goes up by 9 every time hope this helped <3
Answer:
9
Step-by-step explanation:
Janice is roller skating at a constant speed away from her house. The first half of the street is flat, but the second half has a steep upward hill. Janice moves more slowly as she skates up the hill.
Which graph shows Janice's position as she roller skates away from her house?
A. Z
B. X
C. W
D. Y
Answer:
It's Z.
Step-by-step explanation:
Because the road is straight at first, then it gets steep.
which means that the road goes down,
kinda like a drop off.
Answer:
Y moving quicker, then moving slower rate
The regular price of a color tv is 559.45. during a sale, hill tv is selling the tv for 457.41. Determine the percent decrease in the price of the tv.
Answer:
478
Step-by-step explanation:
559.45-457.41=102.04
102.04/559.45*100
approximately 478
sin θ=√5/3, cos θ=2/3
3/2
2√5/5
√5/2
3√5/5
9514 1404 393
Answer:
cos θ = 2/3
Step-by-step explanation:
We presume you want the value of the cosine for
sin θ = √5/3 ≈ 0.745356
__
There are several possible approaches you can take to this problem.
1) Using the trig identity:
cos = √(1 -sin²)
cos θ = √(1 -(√5/3)²) = √(1 -5/9) = √(4/9)
cos θ = 2/3
__
2) Another approach you can take is to use a calculator to find the angle, then use the calculator to find the cosine of the angle.
cos θ = cos(arcsin(√5/3)) = cos(arcsin(0.745356)) = cos(48.19°) ≈ 0.666667
cos θ = 2/3
__
3) Yet another approach is to check the answer choices for reasonableness.
You are given sin θ = 0.745356. This is more than 0.707107, the value where sine and cosine are equal, so the cosine value must be less than 0.707. The answer choices are ...
2/3 ≈ 0.667
3/2 . . . greater than 1; not a viable cosine value
2√5/5 ≈ 0.894 . . . too large
√5/2 . . . greater than 1; not a viable cosine value
3√5/5 . . . greater than 1; not a viable cosine value
So, just looking at the values of the offered answer choices, you can choose the correct one. It is the only value with the appropriate magnitude.
cos θ = 2/3
Suppose the dimensions of your dining room are 12 feet by 14 feet. You purchase a rectangular table that is 7 feet by 9 feet. After you put the table in the dining room, how much space is left in the dining room (in square feet)?
7 x 9 = 63
12 x 14 = 274
add them together and you gey the total space left
Linear Algebra, show steps please.
If x is in the nullspace of A, then Ax = 0. Consider the augmented matrix
[tex]\left[\begin{array}{ccc|c}1&-1&2&0\\0&1&-3&0\end{array}\right][/tex]
Add row 2 to row 1 to get this into reduced-row echelon form:
[tex]\left[\begin{array}{ccc|c}1&0&-1&0\\0&1&-3&0\end{array}\right][/tex]
Then x = [x₁, x₂, x₃]ᵀ such that
x₁ - x₃ = 0
x₂ - 3 x₃ = 0
If you let x₃ = 1, you end up with x₁ = 1 and x₂ = 3, so x = [1, 3, 1]ᵀ.
More generally, if you let x₃ = y, then any vector of the form [y, 3y, y]ᵀ would belong to the nullspace.
Check that this is orthogonal to the rows of A :
[1, -1, 2] • [1, 3, 1]ᵀ = 1•1 + (-1)•3 + 2•1 = 1 - 3 + 2 = 0
[0, 1, -3] • [1, 3, 1]ᵀ = 0•1 + 1•3 + (-3)•1 = 0 + 3 - 3 = 0
help help help help help help
Answer:
no, its an acute triangle
Step-by-step explanation:
Answer:
This is not a right triangle
Step-by-step explanation:
The reason as to why this is a right triangle is because I used the equation a2 + b2 = c2. * = 2
24* + 42*= 2340
26*= 676
2340 is not the same as 676
Therefore the triangle is not a right triangle
Solve the following inequalities graphically on the set of axes below state the coordinates of a point in the solution set
Answer:
A solution point is (2,2)
Step-by-step explanation:
Graph the lines. If it is just greater that or less than, use dashed lines. I fits greater than or equal too, or other symbols like that, use a solid line
Use the test point (0,0). If it satisfies the inequality, shade the side of the graph with that point (you can use any test point, not just (0,0)). If it doesn't satisfy, then shade the other side
The Shaded area shared by both lines is the area of the solution