Step-by-step explanation:
let x be the number of adults and y the number of childrens
x+y=548 people because thats the whole number of sold tickets
and
6.50*x+3.50*y=2881 dollars in total
let separate x from the first formula
x=548-y
and replace it at the second equation
6.50*(548-y)+3.50y=2881
6.50*548-6.50y+3.50y=2881
3562-3y=2881
3y=681
y=227
so x=548-y=548-227=321
there were sold 321 adult tickets and 227 child's tickets.
Solve each equation.Check your solution
4. Which of the following could be the areas of the three squares shown?
Answer:
Option (A)
Step-by-step explanation:
Three squares shown in the figure are formed on the sides of the given right triangle.
By Pythagoras theorem,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
Area of the square on the hypotenuse = Area of the square on the leg 1 + Area of the square on leg 2
Option (A).
95 = 40 + 55
True.
Option (B).
45 ≠ 35 + 25
False.
Option (C).
100 ≠ 10 + 10
False.
Option (D).
1200 ≠ 40 + 30
False
Therefore, Option (A) shows the areas of three squares.
What is the image point of (9,4) after a translation left 5 units and up 1 unit?
Answer:
(4,5)
Step-by-step explanation:
Daud can jog 4 miles in 75 minutes. What is David's jogging rate per hour?
Answer:
3 mph
Step-by-step explanation:
1 hour = 60 minutes.
4 miles/ 75 minutes = x miles / 60 minutes
240 = 75 x
x = 3.2
3.2 miles per hour
Answer plsssssssssssssss
Answer:
x^2
Step-by-step explanation:
This equation is basically x^(4-2), based on the properties of dividing exponents. so, if you simplify, you get x^2
After my salary was increased by 12%, it was $62,720. What was my salary before the increase?
I'll mark brainliest!
Answer
56,000
Step-by-step explanation:
Please help! :(
Its a line and transversal, i'm just super confused. :(
Answer:
M=112
N=180-112=68
V=E
E=180-88=92
R=G
G=88(opposite angle)
what is 1111 * 1111?
it is my favorite math problem and 1111 is satisfying to say in chinese
Answer:
1,234,321
Step-by-step explanation:
1111 × 1111 = 1,234,321I hope this helps!
-0.2525 rational or not
Answer:
NOT
Step-by-step explanation:
Rational.
Round it...
-0.25
Turn it into a fraction...
-25/100.
It can be a fraction. Thus, it is rational.
Select all of the situations below that can be modeled by the expression 4 + 3x.
Four more than three and a number.
Four more than three times a number.
The sum of three times a number and four.
The sum of the product of four three, and a number.
The sum of four and the product of three and a number.
Answer:it’s b
Step-by-step explanation:
I just did it on ede
1. A hexagon is inscribed in a circle. If the difference between the area of the circle and the area
of the hexagon is 24 m”, use the formula for the area of a sector to approximate the radius
of the circle. Give an exact answer( doesn't have to be rationalized) and round to 2 decimals.
Answer:
The radius, r ≈ 6.55 m
Step-by-step explanation:
The given parameters are;
An inscribed hexagon in a circle
The area of the hexagon = Area of the circle - 24 m²
The formula for the area of the circle = π·r² = π × r²
The area of each of the six equilateral triangle in the hexagon = √3/4 × r²
Where;
r = The radius of the circle
The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle
Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4
Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²
We then write; 1/6×π·r²- √3/4 × r² = 4
r²·(1/6×π- √3/4) = 4
r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)
r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places
The radius, r ≈ 6.55 m.
Harry put blue and green marbles in a bag. Exactly 3/4 of the marbles in the bag are blue. Which of the following could be the total number of marbles in the bag.
A. 3
B. 6
C. 7
D. 8
Answer:
D
Step-by-step explanation:
Because when u multiply 3/4 times A,B,C it gives you a decimal, when u multiply 3/4 by 8 you get 6 a whole number.
The total number of marbles in the bag could be (d) 8
How to determine the possible total?We have:
Blue proportion = 3/4
This means that the green proportion is
Green proportion = 1 - 3/4
Evaluate
Green proportion = 1/4
Express as ratio
Blue: Green = 3/4 : 1/4
Simplify
Blue: Green = 3 : 1
Add the ratios
Total = 3 + 1
Total = 4
The above means that the total number of marbles in the bag is a multiple of 4
i.e. 4, 8, 12, 16, 20......
Hence, the total number of marbles in the bag could be (d) 8
Read more about proportions at:
https://brainly.com/question/1781657
#SPJ9
Which of the following situations can be modeled by the expression -8 + 35?
While Shawn was sleeping, the temperature decreased by 8°F. If the temperature was 35°F when Shawn went to bed, what was the temperature when Shawn woke up?
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased by 35°F. What was the temperature at noon?
None of the above.
When Shawn woke up, the temperature was -8°F. By noon, the temperature had increased to 35°F. By how much did the temperature change?
Answer:
The second one
Audrey has already scored 53 points,and scored 22 more points with every coin she collects.How many coins does Audrey have to collect to score a total of 97 points
Answer:
Audrey needs to collect 3 more coins.
Step-by-step explanation:
Since she already scored 53 points, we have to find out how many more points she needs to score 97.
So, 97-53=45 points.
The problem says that each coin Audrey collects is worth 22 points. Therefore, 45 divided by 22= 2 remainder 1. However, if she only collects two more coins, Audrey will only have 96 points in total, not 97.
So, add another coin to make 3.
A horse has a speed of 10 miles per hour. The horse has traveled 15 milles. How many miles in total if it rides for another hour?
Answer:
d = 24.
Step-by-step explanation:
what is 5x10^-7 as a decimal
AnsweStep-by-step explanation:
x/20=2/8
x=__
pls explain the steps
Answer:
Today: Thursday, 15 October 2020
Hour: 04.09 WIB (in Indonesian)
____________________________
x/20 = 2/8
20 × 2 = 8 × x
40 = 8x
x = 40/8
x = 5
Turn the following fraction into a PERCENT: 15/60
A company that manufactures dishwashers is testing their latest product to see how long it takes to cool down once a cycle is complete. The function, f(x) = 360 - 15x, represents the cooling cycle, where x is equal to the number of minutes and f(x) is equal to the temperature of the dishwasher after x minutes.
Step-by-step explanation:
Given that the function for the temperature of the dishwasher is
f(x) = 360 - 15x
We are told that x represents the number of minutes it takes to cool down.
with a given/known value of x we can predict the temperature of the dishwasher.
Say x=12 minutes, we can tell what the temperature will be after 12 minutes
by plugin in the value of x=12 in the expressions for the temperature
f(x) = 360 - 15(12)
f(x) = 360 - 180
f(x) = 180
The temperature after 12 minutes will be 180°
Is this function linear? Why or why not? PLEASE LOOK AT THE PHOTO!! I really need it right now:)
Answer:
yes
Step-by-step explanation:
yes
PLease please please help quick
Answer:
B
Step-by-step explanation:
Same as last. multiple 8 into the entire equation.
Answer:
-80x+28y-56
4(-20x+7y-14)
Step-by-step explanation:
PLEASE HELP ME
- The value of y varies directly with x. If x= 4,
then y= 32. What is the value of x when y= 176?
Answer: Wouldn't that make it x=44
Step-by-step explanation:
I just divided 176 by 4 because it said the value of y varies directly with x. So just used the rule they used i guess.
2. 1. Are the following lines parallel? Explain using slopes. ty (0, 3) (-6, 1) 1 (4, 1) 2 4 6 0 2 62 (0, -2)
Answer:
confused
Step-by-step explanation:
summary of scientific notation
Answer:
Scientific Notation is making a huge number smaller, using exponents. A number like 800000 can be shortened with Scientific Notation. Example:
8 × [tex]10^{5}[/tex]
Step-by-step explanation:
A transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°. What is the value of x?
Answer:
x=116°
Step-by-step explanation:
If a transversal crosses a pair of parallel lines to create a pair of same-side interior angles with the measurements of x° and (x−52)°, then the sum of those angles is equal to 180°.
ATQ,
x°+(x-52)°=180°
2x=180°+52
⇒2x=232
⇒x=116°
So, the value of x is 116°
Plzz answer fast I know what it is but I need to double check!!!!!
Answer:
it's B
Step-by-step explanation:
just solve them and they match
Answer:
If your thinking B is the answer then you are right
Evaluate the function for f(-9 if (x) = 3/5 x + 8
A. 67/5
B. -67/5
C. -13/5
D. 13/5
Answer:
D
Step-by-step explanation:
f(-9) = 3/5(-9) + 8 = 13/5
3. Simplify the polynomial.
Answers must be in standard
form.
-2(4x2 + 5x) + x(x2 + 6x)
Answer:
Step-by-step explanation:
2=-6n+4m
how do you solve this ?
Answer:
n =3 and m = 5
Step-by-step explanation:
negative × positive = negative
So -6 × 3 = -18
4 × 5 = 20
negative + positive = positive
So -18 + 20 = 2
what is the area of a rectangle that is 3/4 ft wide and 1/12 ft long?
Answer:
3/8
Step-by-step explanation:
because to find the area you multiply both numbers so 1*3 is 3 and 2*4 is 8 so your answer should be 3/8