Answer:
500
105
Step-by-step explanation:
This question would be solved using a simultaneous equation
let
a = number of adults who bought the ticket
b = number of students who bought the ticket
c = number of senior citizens who bought the ticket
a + b + c = 670 eqn 1
10a + 4b + 3c = 5615 -- eqn 2
If 65 senior citizen bought the ticket, substitute for c in equation 1 and 2
a + b + 65 = 670
a + b = 670 - 65
a + b = 605 eqn 3
10a + 4b + 3(65) = 5615
10a +4b = 5420 eqn 4
multiply equation 3 by 10 to derive equation 5. Subtract eqn 4 from eqn 5
10a + 10b = 6050 eqn 5
-
10a + 4b = 5420 eqn 4
= 6b = 630
b = 105
Students who bought the ticket are 105
Substitute for b in eqn 3
a + 105 = 605
a = 500
Adults who bought the ticket are 500
whitch of the functions below could have created this graph
Answer:
C
Step-by-step explanation:
2 roots: 1 , -1
f(1) = 0 and f(-1) = 0 only function C fit the condition
so..my teacher NEEDS work from us so please don't put a random answer i need the work for that. thanks
Answer:
Original Equation: s + 3 1/2 = 8 1/2
Subtract 3/12 from both sides: s + 3 1/2 - 3 1/2 = 8 1/2 - 3 1/2
Simplify: s = 5
So, A is the correct answer.
Let me know if this helps!
In a physics lab, an artifact is dropped from the roof of the school building, 98 feet above the ground. The height ݄ (in feet) of the ball above the ground is given by the function h(t)=-16t^2+98, where t is the time in seconds.
Answer:
The algebraic expression h = 16 feet.
Please Help Me!!!
Andre is making paper cranes to decorate for a party. He plans to make one large paper crane for a centerpiece and several smaller paper cranes to put around the table. It takes Andre 10 minutes to make the centerpiece and 3 minutes to make each small crane. He will only have 30 minutes to make the paper cranes once he gets home.
Andre wrote the inequality 3x + 10 ≤ 30 to plan his time. Describe what x, 3x, 10, and 30 represent in this inequality.
Solve Andre’s inequality and explain what the solution means.
Answer:
6 small cranes
Step-by-step explanation:
3x + 10 is less than or equal to 30
3 is the minutes for the small cranes
X is the amount of small cranes
10 is the minutes for the large crane
30 is the total time limit
first, subtract 10 from 30, which gives you 20 so
3x is less than or equal to 20.
to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.
Andre can make 6 small cranes.
Consider the relationship in special right triangles to determine the tangent ratio for a 45 degree angle. Give your answer, as necessary, to the nearest thousandth place (three decimal place values).
Answer:
1
Step-by-step explanation:
The tangent of a angle is opposite side/ adjacent side
In a rights triangle with a 45° angle we have a special 45-45-90 triangle.
The legs of the triangle are congruent and are the opposite and adjacent sides of the 45° angle. Therefore, the ratio of those two sides is 1.
Therefore, the tangent of 45° = 1
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
Does anyone under stand this one ??
Answer:
its c i belive'
Step-by-step explanation:
solve for N
what's the rule
Answer:
n = 8
Step-by-step explanation:
The rule for this table is multiply x by 4 to get y. To solve for n, divide y (32) by 4 to get x (8).
Hope it helps!
Ryan ordered some books online and spent a total of . Each book cost and he paid a total of for shipping. How many books did he buy?
Answer: 12 books
Step-by-step explanation:
First you need to remove the cost of shipping from the total amount:
= 75 - 3
= $72
The above is the total amount spent on the books without shipping.
If each book cost $6, the total number of books bought is:
= 72 / 6
= 12 books
Find 27.1% of 208. Round to the nearest tenth.
Answer:
56.4 is your answer
Correct me if I'm wrong.
Answer:
56.368
Step-by-step explanation:
What is the area of triangle ABC? a \large 6\sqrt{3} square units b \large 18\sqrt{3} square units c \large 36\sqrt{3} square units d \large 72\sqrt{3} square units
question isn't clear but I believe you are asking for the area of triangle ABC given sides a, b, c
We use the example question:
Find the area (in square units) of the triangle described.
a = 49mm, b = 33mm, c = 18mm
Answer and explanation:
We apply Heron's formula to solve the area of a triangle given the sides of the triangle a, b, c
A= √s(s-a)(s-b)(s-c)
Where A = area of triangle in square units
s= semiperimeter(a+b+c/2) of a triangle
a, b, c= lengths of the sides of the triangle
Therefore area of triangle =√50(50-49)(50-33)(50-18)
= √27200
=164.92mm²
HELP ASAP IM IN A LIVE LESSON
Answer: 70 Degrees
Step-by-step explanation:
65+45=110
180-110=70 degrees
-29=9-6k-2k - 1please do the work, i’ll mark as brainliest
Answer:
k = 37/8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
-29 = 9 - 6k - 2k - 1
Step 2: Solve for k
Combine like terms: -29 = 8 - 8k[Subtraction Property of Equality] Subtract 8 on both sides: -37 = -8k[Division Property of Equality] Divide -8 on both sides: 37/8 = kRewrite/Rearrange: k = 37/8Step 3: Check
Plug in k into the original equation to verify it's a solution.
Substitute in k: -29 = 9 - 6(37/8) - 2(37/8) - 1Multiply: -29 = 9 - 111/4 - 37/4 - 1Subtract: -29 = -75/4 - 37/4 - 1Subtract: -29 = -28 - 1Subtract: -29 = -29Here we see that -29 does indeed equal -29.
∴ k = 37/8 is the solution to the equation.
Please help I’ll give you brainleast and thanks
Answer:
i got 49
i think its correct
Step-by-step explanation:
Help my friendddddddddddd
Answer:
It would be a positive correlation
Step-by-step explanation:
Sarah has 30 oranges an 48 plums . What is the ratio of oranges to plums
Answer:
30:48
Step-by-step explanation:
because there are 30 oranges and 48 plums. I got this by putting oranges in front of plums to get the ratio of 30:48
When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% saline solution to produce a 30% saline solution?
Answer:
We must add 400 ml of water.
Step-by-step explanation:
We can use the following equation:
[tex]C_{i}V_{i}=C_{f}V_{f}[/tex]
Where:
C(i) is the initial concentration of the solution (80%)C(f) is the final concentration of the solution (30%)V(i) is the initial volume (150 ml)V(f) is the final volumeNow, we just need to solve the equation for V(f).
[tex]V_{f}=\frac{C_{i}V_{i}}{C_{f}}[/tex]
[tex]V_{f}=\frac{80*150}{30}[/tex]
[tex]V_{f}=400\: ml[/tex]
Therefore, we must add 400 ml of water.
I hope it helps you!
Ali receives a 4% commission for all his sales. His sales for January were $15,000. What was the commission amount he earned for the month of January?
Answer:
$600
Step-by-step explanation:
Convert the 4% commission into a decimal, which is 0.04.Multiply the sales ($15,000) by the commission as a decimal (0.04). This is $600, which is the answer.Dennis needs to fix a leaky roof on his house but does not own a ladder. He thinks that a 25-foot ladder will be
long enough to reach the roof, but he needs to be sure before he spends the money to buy one. He chooses a
point P on the ground where he can visually align the roof of his car with the edge of the house roof. Help Dennis
determine if a 25-foot ladder will be long enough for him to safely reach his roof.
Answer: 15 ft 9 in
Step-by-step explanation:
The division of fraction 9/14 by 15/2 in simplest form is 3/70 by dividing both the numerator and the denominator by the GCD
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. In this case, the reciprocal of 15/2 is 2/15. Therefore, we can rewrite the division as multiplication:
(9/14) * (2/15)
Next, we can multiply the numerators together and the denominators together:
(9 * 2) / (14 * 15)
Simplifying further, we get:
18 / 210
To simplify the fraction, we can find the greatest common divisor (GCD) of the numerator and the denominator, which is 6 in this case. Dividing both the numerator and the denominator by the GCD, we get:
18 ÷ 6 / 210 ÷ 6
This simplifies to:
3 / 35
Therefore, the division of 9/14 by 15/2 in simplest form is 3/70.
In summary, to divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Then, we simplify the resulting fraction by finding the GCD of the numerator and the denominator and dividing both by the GCD. Applying these steps to the given fractions, we obtain the simplified form of 3/70.
Learn more about fraction division here:
https://brainly.com/question/20725043
#SPJ6
I need number 7!plz help
Answer:
x-4,y-3
Step-by-step explanation:
left = negative , down = negative
Marcos debe pintar 5/9 de la cubierta de un velero. Al acabar el día ha pintado 21/36 . ¿Ha conseguido cumplir su objetivo? ¿Ha pintado más? ¿Ha pintado menos?
Answer:
a) Have you managed to meet your goal?
Yes
b) Have you painted more? Have you painted less?
You have painted more.
Step-by-step explanation:
Marcos should paint 5/9 of the deck of a sailboat.
At the end of the day he painted 21/36.
Reducing this to the simplest form = 21/36
Dividing Numerator and Denominator by 3
= 7/12
Finding the difference between both fractions
= 7/12 - 5/9
The Lowest Common Denominator = 36
= 21 - 20/36
= 1/36
Therefore:
a) Have you managed to meet your goal?
Yes
b) Have you painted more? Have you painted less?
You have painted more.
BE NICE AND SOLVE PLS
Answer:
BC=FE=5
BC=5
BA=DE=11
angle A= angle D=27
-2(-5x - 10) + 30 = -110
Answer:
your answer will be x=−16
Step-by-step explanation:
Simplify −2(−5x−10)+30
10x+50=−110
10x=−160
Divide each term by 10
and simplify.
x=−16
I hope this helps ^_^
10x -20 plus 7x plus 4 equals 180 what is x
Olivia is thinking of a number. she says, "my number is odd. It is a factor of 30 and a multiple of 3" There are two numbers she is thinking of, what are those numbers?
A coffee can in the shape of a cylinder has a Volume of V = 67.57 in. Find the forumla that gives the radius of the coffee can, r, in terms of the volume V and height h. If the height is 7.5 inches, what is the radius of the coffee can?
Answer:
r = sq rt [v/(h x Pi)]
r = 1.69
Step-by-step explanation:
v=h x Pi x r^2
r^2 = v/(h x Pi)
r = sq rt [v/(h x Pi)]
r = sq rt [67.57 / (7.5 x 3.14)]
r = sq rt 2.8692
r = 1.69
i have no clue what im doing.. please help
Answer:
2
Step-by-step explanation:
If triangles are similar (like shape ratios are exactly the same), then, 21 ÷ 3 = 7. Now you know the ratio to apply. So, side with the length of 14 s/b divided by that ratio of 7, that is, 14 ÷ 7 = 2
About 8 out of 15 homes have a
dog as a pet. On a street with 165
homes, how many would you
expect to have a dog for pets?
with dogs
A parking lot has 7 red cars out of a total of 35 cars. What percent of the cars in the parking lot are red? Enter your answer in the box.
Answer:
20%
Step-by-step explanation:
Answer:
% of Red CARS = 20%Step-by-step explanation:
Total CARS = 35
Red CARS = 7
% of Red CARS = (red cars ÷ total cars)*100
% of Red CARS = (7÷35)*100
% of Red CARS = 20
Can someone plzzz help ASAP
Answer:
x = 7 √3 km
Step-by-step explanation:
Here, we want to get the value of x
As we can see, we have a right angled triangle with hypotenuse 14 km
we can use the Pythagoras’ theorem to get the value of x
Mathematically, the square of the hypotenuse equals the sum of the squares of the two other sides
Thus,
14^2 = x^2 + 7^2
x^2 = 196-49
x^2 = 147
x = 7 √3 km