Answer:
x = price of adult tickets = $7
y = price of students tickets = $6
Step-by-step explanation:
Let
x = price of adult tickets
y = price of students tickets
7x + 7y = 91 (1)
14x + 12y = 170 (2)
Multiply (1) by 2 to
14x + 14y = 182 (3)
14x + 12y = 170 (2)
Subtract (2) from (3) to eliminate x
14y - 12y = 182 - 170
2y = 12
y = 12/2
y = 6
Substitute y = 6 into (1)
7x + 7y = 91 (1)
7x + 7(6) = 91
7x + 42 = 91
7x = 91 - 42
7x = 49
x = 49/7
x = 7
x = price of adult tickets = $7
y = price of students tickets = $6
If cosec theta-cot theta is equal to 1/M then what is the value of cosec theta +cot theta
Given:
[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]
To find:
The value of [tex]\text{cosec}\theta +\cot \theta [/tex].
Solution:
We have,
[tex]\text{cosec}\theta -\cot \theta =\dfrac{1}{M}[/tex]
We know that,
[tex]\text{cosec}^2\theta -\cot^2 \theta=1[/tex]
It can be written as:
[tex](\text{cosec}\theta -\cot \theta)(\text{cosec}\theta +\cot \theta)=1[/tex]
[tex]\dfrac{1}{M}\times (\text{cosec}\theta +\cot \theta)=1[/tex]
[tex]\text{cosec}\theta +\cot \theta=1\times M[/tex]
[tex]\text{cosec}\theta +\cot \theta=M[/tex]
Therefore, the value of [tex]\text{cosec}\theta +\cot \theta [/tex] is [tex]M[/tex].
What are the resulting coordinates of triangle J′K′L after reflecting triangle JKL across the x-axis?
Answer:
J: (-3,1) K: (4,2) L: (3,-4)
Step-by-step explanation:
Please answer- what is the length of BW? ANSWER DIRECTLY NO LINK ( will give brainlist to whoever answers)
Answer:
148.49
Step-by-step explanation:
105 x √2 = 148.49
have a great day
Mike Jones bought a camera for $268.26, including tax. He made a down payment of $12.00 and paid the remaining balance in 6 equal monthly payments. What was Mike's monthly payment for this camera?
Answer:
42.71
Step-by-step explanation:
268.26-12.00=256.26 total owed
256.26/6 payments =42.71
17. Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the
team's points and Aleah scored one tenth's of the team's points. Together the scored a total of 42
points. How many points did the team score?
Answer:
Michaela scored 140/5 = 28 points; Aleah scored 140/10 = 14 points.
Step-by-step explanation:
Write the equation of the line in slope-intercept form
Slope= -7/4
Y-intercept= 5
Answer:
y = - [tex]\frac{7}{4}[/tex] x + 5
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 )
Here m = - [tex]\frac{7}{4}[/tex] and c = 5 , then
y = - [tex]\frac{7}{4}[/tex] x + 5 ← equation of line
Daniella flipped a coin and spun a spinner that is divided into four equal-size sectors colored red, yellow, green, and orange. Write the sample space of all the possible outcomes.
here are 8 different possible outcomes in the sample space. There are 2 outcomes for the coins, heads and tails. And 4 colors for the spinner.
If you put them together, you have:
H - R
H - G
H - Y
H - O
T - T
T - G
T - Y
T - O
2(3w-5y) expanded
please
The distributive property indicates that multiplying a number by the sum of two addends is equal to multiplying each addend individually by the number and then adding the products together.
In general terms:
m(n + p) = mn + mp
In this exercise:
Let's apply the distributive property:
[tex]\mathsf{2(3w - 5y)}[/tex]
[tex]= \mathsf{2(3w) - 2(5y)}[/tex]
[tex]= \boxed{\mathsf{6w - 10y}}[/tex]
Answer: 6w - 10y
What is the value of the following expression when x = 4, 7x + 6(3x-8)
Answer:
52
Step-by-step explanation:
1) 7x + 6(3x-8)
2) 7(4) + 6(3(4)-8)
3) 28 + 6(12-8)
4) 28 + 6(4)
5) 28 + 24
6) 52
What would the missing value be?
Answer:
x = 9
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (x, - 5 )
m = [tex]\frac{-5-6}{x-2}[/tex] = [tex]\frac{-11}{x-2}[/tex] , then
[tex]\frac{-11}{x-2}[/tex] = - [tex]\frac{11}{7}[/tex] ← numerators are equal, so equate the denominators
x - 2 = 7 ( add 2 to both sides )
x = 9
suppose the following system of equations has a solution of (9,-5)), where A, B,C, D, E, and F are real numbers
Ax + By =C
Dx + Ey =F
Which systems are also guaranteed to have a solution of (9,-5)? Select all that apply.
.......
Any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).
What is a system of equation?If the system of equations has a solution of (9,-5), then we can substitute x = 9 and y = -5 into the equations and verify that they are true:
A(9) + B(-5) = C
D(9) + E(-5) = F
Simplifying these equations, we get:
9A - 5B = C
9D - 5E = F
So, any system of equations that can be written in this form will also have a solution of (9,-5):
9A - 5B = C
9D - 5E = F
Therefore, any system of equations that can be written in this form with real coefficients A, B, C, D, E, and F will have a solution of (9,-5).
To know more about the system of equations follow
https://brainly.com/question/31505340
#SPJ2
Solve the equation.
3x + 2(4x − 6) = 8x + 1
What is the value for x?
Please enter fractional values in the form ‘a/b’. For example, an answer of 3/4 will be entered as 3/4.
x =
Answer:
13/3
Step-by-step explanation:
Try it
The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters. Find the approximate diameter of the flower. Use 3.14 for pie. Round to the nearest hundredth if necessary.
Given:
The worlds largest flower, the Rafflesia, has a circumference of 286 centimeters.
To find:
The diameter of the flower.
Solution:
We know that, the circumference of a circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
[tex]C=(2r)\pi [/tex]
[tex]C=d\pi [/tex] [tex][\because 2r=d][/tex]
Where, d is the diameter.
Putting [tex]C=286, \pi=3.14[/tex] in the above formula, we get
[tex]286=d(3.14)[/tex]
[tex]\dfrac{286}{3.14}=d[/tex]
[tex]91.0828=d[/tex]
[tex]d\approx 91.08[/tex]
Therefore, the diameter of the flower is about 91.08 centimeters.
Use the properties of exponents to write an equivalent expression that is a product of unique
primes, each raised to an integer power.
621. 107
307
42.57 x 46630= 75769 =3794874 =37489438790=3474936
Find the diameter of a circle with a circumference of
3724.7 km
Use your calculator's value of [pi). Round your answer to
the nearest tenth.
diameter =
Last year the golf team paid $275 for travel expenses. The budget for this year was reduced to $205 for travel expenses. What was the approximate percent decrease for travel expenses?
Answer:
tell whether the number 13 is prime or composite
What is 15x - 8x = 35, what is x?
Thank you for your help
Answer:
x = 5
Step-by-step explanation:
Simplify the like terms:
15x - 8x = 7x
so, 7x = 35
divide: 35/7 = 5
x=5
Can someone answer this please
Answer:
x=7
Step-by-step explanation:
8x-5y=16
8x-40=16
8x=56
x=7
whats the number of outcomes?
Answer:
Chocolate andstrawberryA basket contains red, green, and yellow peppers. A pepper is
selected at random. If P(red) = and Pſyellow) = 1 what
is P(green)?
(X-3)(2x^2+3x-4) please solve
Answer: Simplify your answer will be 2x^2 X + 3xX - 6x^2 - 4X _ 9x + 12
Step-by-step explanation: Multiply each term in the first expression by each term in the second expression and combine like terms.
Answer:
2x³ - 3x² - 13x + 12
Step-by-step explanation:
If you're looking for the simplified answer there it is! If you need help evaluating I'd love to help!
A dog and a cat are 200 meters apart when they see each other. The dog can run at a speed of 30 meters per second, while the cat can run at a speed of 24 meters per second. How soon will the cat catch the dog if the cat starts running after the dog?
Answer:
I think after 1.6 s it Will catch the dog
Find the percent of change.
Round to the nearest percent.
Original: 58
New: 152
Include a percent sign in your answer.
Enter
Answer:
162.069%
Step-by-step explanation:
can someone please help me with 7 and 8...thank you <3
Answer:
7. <B = 129°8. <N = 85°Step-by-step explanation:
7. <A + <B = 180° [Since Co-interior angles]
=> 51° + <B = 180°
=> <B = 180° - 51°
=> <B = 129° (Ans)
8. <M + <N = 180° [Since Co-interior angles]
=> 95° + <N = 180°
=> <N = 180° - 95°
=> <N = 85° (Ans)
What is the formula for radius when given circumference?
James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
Mhanifa please help!!!!!! Please please
Answer:
#7
Ratio of corresponding sides (determined by opposite angles)
28/35 = 4/520/25 = 4/512.4/15.5 = 4/5The ratios are equal, the polygons are similar
# no number
Ratios:
5/15 = 1/37/21 = 1/3Yes, similar
# 8
The triangles are isosceles.
The ratios of bases and sides:
8/12 = 2/35/7.5 = 2/3B. ABC ~ MNO, SSS
Question 3
The population of a sample of bacteria triples every minute. If the initial population of the sample is 2 bacteria, Nicholas believes
the equation p-2(3)' can be used to find the total population after t minutes,
=
Is Nicholas correct? If not, why not?
a.No, Nicholas switched the initial population and the rate. The equation should be P - 3(2)'
b.No, Nicholas should have wrrtten a linear equation. The equation should be P - 2+ 31
c.Yes, Nicholas is correct.
Answer:
C. Yes nicholas is right.
Hi there! I have a math problem I need help on: A recipe calls for 1 teaspoon of cinnamon. You only have a 1/2 teaspoon measuring spoon. What fraction of a teaspoon of cinnamon, in halves, do you need? Please include the answer in your reply, and please don't go off-topic.
You need 2 half-teaspoons, since
1/2 tsp + 1/2 tsp = (1 + 1)/2 tsp = 2/2 tsp = 1 tsp
consider the equation a(4-x) =-3x + b What values of a and b make the solution of the equation x = -5
Answer:
Step-by-step explanation:
hello :
put x = -5 in this equation : a(4-x) =-3x + b
a(4+5) =15 + b
9a = 15 +b
b = 9a - 15
the values of a and b is all order pair : ( a ; 9a-15) a real number