Answer:
adult tickets: $13student tickets $7Step-by-step explanation:
The given equations are ...
4a +5s = 87
2a +2s = 40
We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.
(4a +5s) -2(2a +2s) = (87) -2(40)
4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses
s = 7 . . . . . . . . . . . . . . . . . .simplify
2a +2(7) = 40 . . . substitute for s in the second equation
2a = 26 . . . . . . subtract 14
a = 13 . . . . . . . divide by 2
Adult tickets cost $13; student tickets cost $7.
Can someone please help lol
Answer:
the range the score is 59 is the correct answer
Step-by-step explanation:
Range is the largest no minus the smallest no...so 59 is the largest minus 0 the smaller number
Good morning!
I am here with a few geometry questions today.
There is 2 steps to this.
Step 1: The city plans a new road that will be parallel to Brodie Lane. What is the slope of the new road?
Step 2: Let m∠6=\(x^{o}\). Which angles have a measure of 180-x?
Use the diagram below to help!
When you answer this question please be sure to explain your answer and show work.
Good luck! Have a great day!
Answer:
Step1. Slope is zeroStep2. Angles 5, 8, 9 and 12Step-by-step explanation:
Step 1
Parallel lines have the same slope.
Gray Dr is parallel to Brodie Ln
They both are parallel to x-axis, therefore both have a zero slope.
Step 2
m∠6 = x°
Angles 5 and 8 are supplementary with angle 6, so they have a measure of (180 - x)°.
Also, since Gray Dr is parallel to Brodie Ln and Canon Rd is transversal, the angles 9 and 12 have the same measure. Because ∠6 and ∠10 are corresponding angles.
Marcus spent $16 on batteries if they cost $2 per pack how many packs did he buy what's the variable in the equation
Answer:
he bought 8 packs.
Step-by-step explanation:
1:2=x:16
x=16/2
the variable is x, the number of packs he bought
A three-way intersection is sometimes called a
T-intersection
Y-intersection
Both a and b
Neither a nor b
Answer:
Both A and B
Step-by-step explanation:
Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.
Jayla's history class is going to a museum. The museum charges $25 for an adult ticket and $12.50 for a student ticket. The class must spend $375 to rent buses for the trip. The total cost of the museum visit is modeled by the expression 25 x + 12.5y + 375. Which is the meaning of y in the expression?
the number of students going
$12.50 is the cost of the STUDENT ticket, so that knocks 2 answers down then, would you times the total by 12.5 to get the actual cost. no so it has to be the number of students going
Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone. Which graph best represents this situation?
The graph will have a slope of 15 and is attached with the answer below.
What is a constant of proportionality?The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.
When y and x are two quantities that are directly proportional to one another, the proportionality constant k is defined as k=y/x.
Given that Nicole had a collection of 60 stuffed animals. She gave away 5 stuffed animals per month until all her stuffed animals were gone.
The equation can be written as:-
y = kx
The value of k will be calculated as :-
60 = k x 5
k = 60 / 5
k = 12
The equation will be:-
y = 12x
The graph of the linear relation is attached with the answer below.
To know more about constant of proportionality follow
https://brainly.com/question/17487042
#SPJ1
Use the point-slope form to write an equation of a line through the given points.
(−3, 2) and (3, 4)
Answer:
y-2=1/3(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-2)/(3-(-3))
m=2/(3+3)
m=2/6
simplify
m=1/3
y-y1=m(x-x1)
y-2=1/3(x-(-3))
y-2=1/3(x+3)
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
To know more about Expression .
https://brainly.com/question/1859113
#SPJ11
Given -13.84(4.7), find the product.
Answer: -65.048
Step-by-step explanation:
-13.84(4.7) = -65.048
(you could also use a calculator)
Can someone pls help!!!
Answer:
10%
Step-by-step explanation:
and always 10%bjsjdhdhajajnamansnsnwjaja
20 as a product of primes.
Use index notation when giving your answer
use a factor tree to get 2x2x5
2²x5
\(\huge\underline{\boxed{\bold{Hello\;there!}}}\)
20 as a product of primes:
2×2×5
Remember, primes have only two factors.
2 is only divisible by 1 and itself, and it's the only even prime number.
5 is also divisible by 1 and itself.
If we multiply 2 times 2 times 5, we will get 20.
\(\huge\boxed{\mathfrak{Answer:{\boxed{\boxed{2*2*5}}}}}\)
\(\bigstar\) I really hope it helps you!
\(\bold{Have\;a\;wonderful\;day!}\)
\(\rm{FabulousKingdom :-)\)
Find the missing side lengths. Leave your answers as radicals in simplest form.
Please help!!!! Due today
Answer:
B) x = 5sqrt2, y = 5
Step-by-step explanation:
(y) is equal to 5 because both angles are 45 degrees.
From here you can use the Pythagorean theorem to find (x):
a^2+b^2 = c^2
5^2+5^2 = c^2
25+25 = c^2
50 = c^2
sqrt50 = c
5sqrt2 = c (c is x in this case)
Please help find the domain
Domain are all real numbers expect x = - 1, and x = - 3
We have to given that;
Functions are,
f (x) = (- x + 5) / (3x + 3)
And, g (x) = (x + 5) / (- 2x - 6)
Now, We can formulate;
⇒ f (x) × g (x)
⇒ (- x + 5) / (3x + 3) × (x + 5) / (- 2x - 6)
⇒ (5 - x) × (5 + x) / (3x + 3) (- 2x - 6)
⇒ (25 - x²) / (3x + 3) (- 2x - 6)
⇒ (x² - 25) / (3x + 3) (2x + 6)
⇒ (x² - 25) / 6 (x + 1) (x + 3)
Hence, Domain are all real numbers expect x = - 1, and x = - 3
Because at x = - 1 and x = - 3 function are not defined.
Thus, Domain are all real numbers expect x = - 1, and x = - 3
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ1
A mother is five times as old as her daughter. In 6 years, the mother will be three times as old as her daughter. How old is she now?
Answer:
i tried to figure this out i really did but i have know idea
Step-by-step explanation:
Help me please and I will love you forever
Answer:
d²+4a+6 is the answer in ky opinion
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
for more such questions on mean
https://brainly.com/question/1136789
#SPJ8
Find g'(t) for the function g(t) = 7/t^4
The differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
What is differentiation?
The method of determining the derivative, or rate of change, of a function in mathematics.is termed as the differentiation.
Given that:-
\(g(t)= \dfrac{7}{t^4}\)
The derivative will be calculated as:-
\(g'(t)=7 \dfrac{d}{dt}(t^{-4})\\\\\\g'(t)=7\times (-4t^{-5})\\\\\\g'(t)=\dfrac{-28}{t^5}\)
Therefore the differentiation of the function g(t) = 7/t⁴ will be equal to g¹(t)=-28/t⁵
To know more about derivatives follow
https://brainly.com/question/954654
#SPJ1
Please answer this correctly.I want expert people or genius people to answer this
Answer:
298.5 cm^2.
Step-by-step explanation:
The area of the triangular base
= 1/2 * base * height
= 1/2 * 10 * 8.7 cm^2
There are 3 other triangular sides all withe the same area and each of them as area = 1/2 * 10 * 17
So the total surface area of the pyramid
= 1/2 * 10 * 8.7 + 3 * 1/2 * 10 * 17
= 5 * 8.7 + 3 * 85
= 298.5 cm^2.
do you know the answer?
The expression for the inequality equation is -2 ≤ x ≤ 2
Given data ,
Let the number line be represented as A
Now , the value of A is
The number -2 and 2 are marked as colored bubbles in the line
So , the inequality states that the marked bubbles is also the solution to the relation and these numbers will be included
And , the inequality relation is given by -2 ≤ x ≤ 2
Hence , the inequality is -2 ≤ x ≤ 2
To learn more about inequality equations click :
https://brainly.com/question/11897796
#SPJ1
A ski club charges $70 for a lift ticket and $20 per hour to ski. Jim paid at least $130 last week to ski. How many hours would he have skied.
Answer:
Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time
A bicycle store costs $2100 per month to operate. The store pays an average of $70 per bike. The average selling price of each bicycle is $110. How many bicycles must the store sell each month to break even?
Answer:
It would have to be around 52.5 bikes to break even exactly but you cant sell half of a bike so more like 53.
Step-by-step explanation:
Hope this helps.
A bakery has 2 machines that bake bread. The first machine can make 50 loaves each hour. The second machine can make 75 loaves each hour.
Let h= the number of hours both machines have been making bread. Which THREE of the following expressions can be used to represent the number of loaves of bread that are made in h hours
Answer choices:
A.50h + 75h
B.50 (h+ 25h)
C. 50 + 75h.
D.25h
E. 125h
F.(50 + 75)
Answer:
A
Step-by-step explanation:
E can also be an answer since 50h +75h =125h but not a equation.
Answer:
Answers A and E are correct.
Step-by-step explanation:
None of the others are correct
Answer F could be corrected by multiplying by h
(50 + 75)h
I need help solving this question
The three numbers are 61, 427 and 161.
What is the sum of numbers?
A summation, also known as a sum, is the outcome of adding two or more numbers or quantities. There are always an even number of terms in a summation. There could be only two terms, or there could be one hundred, thousand, or a million. There are summations with an infinite number of terms.
As given, one number is 7 times the first number, third number is 100 more than the first number and the sum of three numbers is 649.
Suppose the first number is x, then the second number is 7x and the third number is x + 100.
Sum of these three numbers is, 649.
x + 7x + x + 100 = 649
9x = 549
x = 61
Therefore, the first number is 61, the second number is 7x = 427, and the third number is x + 100 = 161.
To know more about the sum of numbers, click on the link
https://brainly.com/question/5982761
#SPJ13
Science is the favorite subject of 74% of students
at a school. There are 700 students at the school,
How many of them like science best?
Answer:
518
Step-by-step explanation:
let x be the number of people who likes the science the most.
x / 700 x 100 0.74
x = 518
Answer:
518 students
Step-by-step explanation:
74% of 700
Simplify the expression 9+2y+3y squared -2y squared
Answer:
\(y^{2}\) + 9
Step-by-step explanation:
To simplify, combine like terms:
3\(y^{2}\) - 2\(y^{2} = y^{2}\)
9 = 9
Set it up:
\(y^{2} + 9\)
2x+10y=20 and passes through (2,3)
Answer:
No, it doesn't pass throughStep-by-step explanation:
As, if we put the value (2,3) in the equation then,
2x + 10y = 20
=> 2(2) + 10(3) = 20
=> 4 + 30 = 20
=> 34 ≠ 20
Hence,
2x+10y=20 does not pass through (2,3)
Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4
Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2
Step-by-step explanation:
Answer: Figure 4
Step-by-step explanation:
I got it right on Edmentum
What is the exact value of sin pi/3?
The exact value of sin(pi/3) is √3. By definition, the sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse. Therefore, sin(pi/3) = √3/1 = √3.
The exact value of sin(pi/3) can be determined using trigonometric properties and identities.
First, we know that pi/3 is equivalent to 60 degrees. In a unit circle, the point corresponding to 60 degrees forms an equilateral triangle with the origin and the x-axis. This triangle has side lengths of 1, 1, and √3.
To find the sine of pi/3, we consider the side opposite the angle (pi/3) in the triangle. In this case, the opposite side has a length of √3. The hypotenuse of the triangle is 1, as it is the radius of the unit circle.
For more such questions on angle
https://brainly.com/question/31512239
#SPJ8
HELP Which of the following is the measure of CBA?
A. 90°
B. 39
C. 78
D. 45°