Answer:
I think this should be your answer look at attachment
Step-by-step explanation:
hope this helps
The graph of the given situation is required.
The required graph is attached.
Let x be the cost of each seat
and y be the cost of additional snack.
Cost of seat = $20
Cost of snack = $5
Total cost = $400
The linear equation will be
[tex]20x+5y=400[/tex]
Finding two points
[tex]x=0[/tex]
[tex]5y=400\\\Rightarrow y=\dfrac{400}{5}=80[/tex]
[tex](0,80)[/tex]
[tex]y=0[/tex]
[tex]20x=400\\\Rightarrow x=\dfrac{400}{20}\\\Rightarrow x=20[/tex]
[tex](20,0)[/tex]
Join the points and the graph representing the situation is obtained.
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Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
2 inches
3 inches
7 inches
9 inches
Answer:
c
Step-by-step explanation:
The greatest possible whole-number length of the unknown side among the option is 9 inches.
Obtuse triangle
Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.
Triangle inequality theorem:The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
If the sides of the triangles are x, y and z. Therefore,
x + y > z
x + z > y
y + z > x
Therefore, the greatest possible length among the option is 9.
Proof
12 + 14 > 9
12 + 9 > 14
14 + 9 > 12
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Which equation of the least squares regression line most closely
matches the data set?
y = -10.13 +118.8
g =-0.31+37.3
y = –2.3x + 97.9
y = -0.09% +11.5
Answer:
I wish I knew the answer to this, I asked my grandmother too, she also doesn't know sorry
A cliff is 80 feet above the sea From the cliff the angle of depression to a boat is 35° How far is the boat from the base of the cliff?
Answer:
~114.28 feet
I hope it will be useful.
The distance of the boat from the base of the cliff is 114 feet.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = 1/ cosec x
Cos x = 1/ sec x
Tan x = 1/ cot x or sin x / cos x
Cot x = cos x / sin x
We have,
Cliff ________________
\ ) 35° |
\ |
\ | ( 80 feet )
\ |
\ |
\ |
\ Boat
← ______x________→
(distance of the boat from the base of the cliff)
Now,
tan 35 = 80/x
0.7 = 80/x
x = 80/0.7
x = 114 feet
Thus,
The distance of the boat from the base of the cliff is 114 feet.
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THIS IS DUE TODAY PLS PLS PLS HELP ME ON IT :(
Answer:
monke
Step-by-step explanation:
monkey
I think its the first and last one. But I could be completely wrong.
I’m really bad at math I need help again
Answer:
the answer would be 50 on each side
Step-by-step explanation:
since this shape is an isosceles triangle, the angles on the right and left side would be equivalent! 180-80=100/2=50
I need help with this asap! Please show how you got the awnser! I WILL MARK BRAINLIEST!!!
Answer:
x=15
angle =34
Step-by-step explanation:
find the missing angle
180-146=34
angle=34
so
all angles added together
(5y+3)+(4y+8)+34=180
9y+11+34=180
9y+45=180
9y=135
y=15
Helpp!
Find (8x + 9) + (-6x - 2). Show your work.
Answer:
2+11
Step-by-step explanation:
Distribute
(8+9−1(6−2)
(8+9)−6+22
Eliminate redundant parentheses
(8+9)−6+2
8+9−6+23
Add the numbers
8+9-6+2
8+11−64
Combine like terms
8+11−6
2+11
x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (8x + 9) + (-6x - 2).
Eight times of x plus nine plus minus six times of x minus two.
x is the variable in the expression , plus and minus are the operators.
(8x + 9) + (-6x - 2).
8x+9-6x-2
Add the like terms
2x+7
2x=-7
Divide both sides by 2
x=-7/2
Hence, x=-7/2 is the value of the expression (8x + 9) + (-6x - 2).
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20 points each math answer with optional explination
Which of the following is not a condition that must be met before you can use the quadratic formula to find the solutions of an equation?
Options in picture
Find the equation of the line. Use exact numbers
Answer:
y = -3x + 7
Step-by-step explanation:
Again, pick a random point. I chose point (0,7). Then, we see how many units it takes to reach the next point. Let's try it. First, we move down 3 units, rise = -3, then move right 1 unit, run 1. So slope is rise over run, so -3/1 = -3. Then, for the y intercept, just see the y value when x = 0.
Answer:
y = - 3x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = [tex]\frac{1-7}{2-0}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The line crosses the y- axis at (0, 7 ) ⇒ c = 7
y = - 3x + 7 ← equation of line
A and Bare mutually exclusive events. P(A) = 0.60 and P(B) = 0.20. What is
P(A or B)?
A. 0.40
B. 0.68
C. 0.12
D. 0.80
Answer:
D. 0.80
Step-by-step explanation:
P(A or B) = P(A) + P(B)
P(A or B) = 0.60 + 0.20
P(A or B) = 0.80
The probability of P(A or B ) is 0.80.
The correct option is D.
Since A and B are mutually exclusive events, they cannot occur simultaneously.
Thus, the probability of A or B occurring is equal to the sum of their individual probabilities:
P(A or B) = P(A) + P(B)
Therefore, we need to subtract the probability of the intersection of A and B:
P(A and B) = 0 (since A and B are mutually exclusive)
Thus, we have:
P(A or B) = P(A) + P(B) - P(A and B)
Substitute all the given values to the equation,
we get,
= 0.60 + 0.20 - 0
= 0.80
Therefore, the probability of A or B occurring is 0.80 or 80%.
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What is 70% of 40??????
Answer:
28
Step-by-step explanation:
hope this helps
Answer:
28
Step-by-step explanation:
70% is equal to 70/100. "of" when used in math means multiplaication.
so we do 70/100 x 40
we can simplify 70/100 to get 7/10.
now we multiply:
7/10 x 40 = 28
The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determined. (Show complex fraction setup.)
Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]
Step-by-step explanation:
Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.
Time taken = [tex]\dfrac27[/tex] hour
Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)
[tex]=\dfrac23\div\dfrac27[/tex]
[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]
Unit rate = [tex]2\dfrac13\text{ miles per hour}[/tex]
Which of the following correctly identifies the vertices that lie on the major
axis of the conic section shown below?
(x+2)^2/49 + (y-1)^2/25 = 1
O A. (-2,-4) and (-2,6)
OB. (-7,1) and (3,1)
OC. (-9,1) and (5,1)
OD. (-2,-6) and (-2,8)
Answer:
The answer is C: (-9,1) and (5,1). took the test. Good luck!
Step-by-step explanation:
The coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1), so option C is correct.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given equation:
(x + 2)² / 49 + (y - 1)² / 25 = 1
The above equation can be simplified as,
(x + 2)² / 7² + (y - 1)² / 5² = 1
The left side has to be equal to 1, the (x + 2)² / 7² the term has to be equivalent to 1, and the term (y - 1)² / 5² to be equivalent to zero
(y - 1)² / 5² = 0, y - 1 = 0, y = 1
(x + 2)² / 7² = 1
(x + 2)² = 49
(x + 2) = ±7
x = +7 - 2 = 5
x = -7 - 2 = -9
Therefore, the coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1).
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If -7 is multiplied by a number greater
than 1, which of the following describes the
result?
F a number greater than 7
G a number between -7 and 7
H a number greater than - 7
J a number less than -7
Answer:
J
Step-by-step explanation:
Find the following , giving your answers to 1 decimal place
Answer:
V=301.4cm^3
A=188.4cm^3
I hope it will be useful.
Answer:
Step-by-step explanation:
I. Volume = 301.6 cm³ (to 1d.p)
II. CSA = 188.5 cm² (to 1d.p)
Step-by-step explanation:
Given the following data;
Height, h = 8cm
Radius, r = 6cm
Curved length = 10cm
a. To find the volume of the cone
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the equation, we have;
Volume = 301.6 cm³ (to 1d.p)
b. The curved surface area of the cone
Where;
CSA is the curved surface area of the cone.
r is the radius of the base of the cone.
l is the curved length of the cone.
Substituting into the equation, we have;
CSA = 188.5 cm² (to 1d.p)
please help me on this!!
Answer:
(a). Music and dance.
(b). Three students.
(c). Hong, Ryan, Lena and Mai
Step-by-step explanation:
a) Hong is not a member of i. music and Dance
b) 2 students which is Eric and Omar
c). Mai , Hong,Ryan and lena
Please I really need this question answered!!! 20 points!! I’ll give brainliest!
Answer:
A
Step-by-step explanation:
We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).
Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.
I hope this helps! :)
Answer:
Step-by-step explanation:
What is the domain of f(x) = 3*?
A. All nonnegative real numbers
B. All real numbers
C. All real numbers greater than or equal to 3
D. All real numbers greater than 3
A company donated 4,287 books to a local library. 2,596 of them were fiction. The rest of the books were nonfiction. Amy believes there were 1,691 nonfiction books.
Answer:
Yes, Amy is right
Step-by-step explanation:
Given that:
Total number of books donated = 4287
Fiction books = 2596
Since the rest of the books are non fiction:
Number of nonfiction books :
Total number of books - number of fiction books
4287 - 2596
= 1691
Henry says that his set of numbers includes all integers. Iliana argues that he is wrong.
(-15, -5 -1.0.2.16
Which is the best way to explain why Iliana is correct?
Olliana is correct because Henry included negative numbers. Negative numbers are not integers.
Olliana is correct because Henry included a fraction. Fractions are not integers.
Iliana is correct because Henry included zero. Zero is not an integer.
Olliana is correct because Henry included a positive number. Positive numbers are not integers.
B. Iliana is correct because Henry included a fraction. Fractions are not integers.
Answer:
B
Step-by-step explanation:
Anita is eating popcorn at the movies. She eats 24 kernels in 10 minutes and 72 kernels in 30 minutes. Which TWO other ratios can represent the rate at which she is eating popcorn?
Answer:
[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]
Step-by-step explanation:
24 kernels in 10 minutes
In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]
let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form
[tex]\dfrac{x12}{x5}[/tex]
So, when [tex]x = 6[/tex] we get
[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]
[tex]x[/tex] can be any real number
[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]
[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]
Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].
there are 25 painters an 80% of them are painting the interior how many painters are painting the inside
Answer:
20 painters are painting the inside
Step-by-step explanation:
What is the first step to solving the following equation? 6x – 9 = 48
Step-by-step explanation:
6x=48+9 is the first step
Work out the size of angle A
Answer:
size of angle A is 93.19°
Line a is parallel to line b. Which statement about lines a and b is true
The help is needed for these times
Answer:
This be soooo hard ;w;
Step-by-step explanation:
.w.
Given f of x equals 5 times x minus 6 for x less than 3, equals x squared for x between 3 and 5 inclusive, and equals 2 times x plus 15 for x greater than 5 find f '(x) and give its domain.
Answer:
D. 5 for x less than or equal to 4, equals 2x for x between 4 and 6 including 6, and equals 4 for x greater than 6 Domain: All real numbers.
Step-by-step explanation:
Find the complete diagram attached
First we need to get the derivative of the functions
For the function f(x) = 5x - 6
Using the formula
If f(x) = axⁿ
f'(x) = naxⁿ⁻¹
For the function f(x) = 5x - 6
f'(x) = 1(5)x¹⁻¹
f'(x) = 5x⁰
f'(x) = 5
For the function f(x) =x²-2
f'(x) = 2x²⁻¹
f'(x) = 2x
For the function f(x) = 4x+10
f'(x) = 1(4)x¹⁻¹
f'(x) = 4x⁰
f'(x) = 4
Get the domain
The domain is the value of the input variable x for which the functions exists. For the functions given, the domain will be on all real numbers i.e the functions will exists for any value of x on the number line.
Hence Option D is correct
Answer:
Was the answer above correct????
Step-by-step explanation:
What letter represents the y-intercept?
x
b
m
Answer:
The letter that represents the y-intercept is B!
Step-by-step explanation:
It indicates point of intersection between the y-axis and the line.
Hope this helps you alot! Also can you give me a Brainliest?
PLEASE!!!
−13.9+ 12.8b =−13.3
Please need help.
Answer:
b= =64 /3 =0.046875
Step-by-step explanation:
Answer:
Step-by-step explanation:
please help with my math
Answer:
f + g = [tex]\frac{x-1}{x+ 3}+\frac{x-3}{x+1}=\frac{x^{2}-1 }{(x+3)(x+1)}+\frac{x^{2}-9 }{(x+1)(x+3)}=\frac{2x^{2}-10 }{(x+1)(x+3)}[/tex]
Step-by-step explanation: