Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
During a 12-hour car ride, each of 4 family members gets to choose the music for an equal amount of time. Write an equation, where t is time, to find out how long each member of the family is in charge of selecting the music.
There were 560 people at a play. The admission price was $2 for
adults and $1 for children. The admission receipts were $860.
How many adults and how many children attended?
Answer:
• For this one we need to split this problem into two equations:
• a (adults) + c (children) = 560
• 2a + c = $860
• Then we substitute 560 - a for c in the second equation.
2a + 560 - a = 8602a + 560 = 8602a = 5302a = 265• Then we plug this into the first equation:
265 + c = 560c = 295Step-by-step explanation:
I hope this helps you !!A system of equations is graphed on the coordinate plane. y = -3x - 9 y = 3x + 9 What is the solution to the system of equations? (0,3) ( (-3,0) (3,0) (0,-3)
Answer: B. (-3, 0)
Step-by-step explanation:
y = -3x - 9...(1)
y = 3x + 9...(2)
Substitute (1) into (2)
3x+9=-3x-9
6x=-18
x=-3
Substitute y=0 into (1)
y=3(-3)+9
y=0
Therefore, the solution to the system is the ordered pair (-3, 0)
At a sale this week, a digital camera is on sale for $547.40. This is a 57% discount off of the original price. What is the original price
Answer:
725.623
Step-by-step explanation:
547.40:?
43 :57
?=547.40×57÷43
Phil is going to purchase a home with a sale price of $225,000. He is able to put 20% down for her down-payment and get a mortgage for the balance. The cost of home insurance is $3,200 yearly. The taxes are $1,170 yearly. He is trying to decide between a 30 year fixed loan and a 15 year fixed loan. Interest rate for the 30-year mortgage is 3.75%. Interest rate for the 15-year mortgage is 2.85%. Phil's credit score is 725.
5) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 30 year fixed?
6) How much will Nick have paid total for the house for the 30-year fixed mortgage?
7) What will his monthly payment be, including taxes, insurance, and other fees, rounded to the nearest dollar, if he chooses the 15 year fixed?
8) How much will he have paid total for the house if he does a 15-year mortgage?
Answer:
this is hard too
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,8) and has an undefined slope?
Answer:
x = -6
Step-by-step explanation:
Slope is rise over run (change in y divided by change in x), and to have an undefined slope change in x must be zero. The line x = -6 is a vertical line that passes through the point (-6,8).
Solve the equation for the variable 49-2/3x=32-1/6x
Answer:
No Solutions
Step-by-step explanation:
I believe it's no solutions. 47/3x can never equal 31/6x. Even if you try to cross multiply it (282x = 9x), you'll see that x must equal to 0.
Therefore, x has no solutions.
Answer:
Can you give the answers please but i think it is 49-2/3 32-1/6 the answer is 27.5
Step-by-step explanation:
How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?
Step-by-step explanation:
we need to see how many cubes fit into every dimension.
we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.
we can fit 15 cubes along the 3 3/4 in length :
3 3/4 = 12/4 + 3/4 = 15/4
15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15
we can put 6 cubes on top of each other fit the height of 1 1/2 in
1 1/2 = 2/2 + 1/2 = 3/2 = 6/4
6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).
so, we have
4 × 15 × 6 = 360
we need 360 cubes to fill the box.
Select the expressions that represent the same quantity as 3(n + 4). 3 correct answers pls help
Answer:
3n + 12
n + n + n + 4 + 4 + 4
(n+4) + (n+4) + (n+4)
Step-by-step explanation:
Simplify 3(n+4).
3 x n = 3n
3 x 4 = 12
3n + 12
Expand.
3(n+4)
3 x n = n + n + n
3 x 4= 4 + 4 +4
And
3(n+4)
= 3 x (n+4) is equal to (n+4) +(n+4)+(n+4)
the line passes through the point (4,7) and has a slope that is reciprocal of the slope of the line y=1/3x+2
point slope form and slope intercept form pls
first you have to change 1/3 to -3
y=-3x+2
then you have to replace 2 with 'b' because you don't know the y intercept yet
y=-3x+b
then you substitute the point (4,7) into the equation
7= -3(4) + b
7= -12 + b
19 = b
y = -3x + 19 is the equation in slope intercept form
for point slope form:
-3x is still the slope and you replace x and y with the point 4,7
y- 7= -3 (x-4)
The angle of elevation to a nearby tree from a point on the ground is
measured to be 38°. How tall is the tree if the point on the ground is 77 feet from the tree? Round your answer to the nearest tenth of a foot if necessary.
Answer:
Step-by-step explanation:
tan 38 = opp/adj = h/77
h = 77tan38
h = 60.1589932...
h = 60.2 ft
9x + 3 – 7x + 4
Help me out please?
Answer: The answer is 2x + 7.
Explanation: First, we need to add the numbers:
9x + 3 – 7x + 4
9x + 7 - 7x
And finally, we combine like terms:
9x + 7 - 7x
2x + 7
Jeremiah's barber charges $20 for a haricut. The barber is increasing his prices by 40%. What will Jeremiah have to pay the barber the next time he gets a haircut?
Answer:
$28
20 plus 40 percent
that's the answer
r (90 degree) (def) for d (0,5) e (-2,8) f(-3,-5)
Answer:
d'(5,0) e'(8,2) f(-5,3)
Step-by-step explanation:
When rotating 90 degrees clockwise you only flip the x,y coordinates and changes the x
Example- (4,5) would become (5,-4)
Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo
to redistribute them and share them equally in 25 bags for a class activity.
a) How many counters will she put in each bag?
b) Will she have any counters left? If yes, how many?
Answer:
she will put 9 counters in each bag
she will have 20 counters left over
Answer:
a. 9 each
b. yes she will have 20 left
Step-by-step explanation
245/25=9.8 but if equally it will be 9 with a remainder of 20
that solves everything
A boat travels upstream a distance of 24 miles on a
river whose current is a constant rate of 3 mph. The boat returns downstream. The trip up the
river and back down the river takes a total time of 6 hours. What would the speed of the boat
be in still water?
Answer:the answer will be 48
Step-by-step explanation: 24 divided by 3 =8 x 6 =48
I REALLY HOPE THIS HELPS
A group of students organized a car wash to raise money for a local charity. The students charged $9.99 for each car they watched.In 3.5 hours they washed 14 cars.at that rate how much money could they earn in 8 hours?
Answer:
First you would divide 12 cars by 3 hours to see how many cars get washed per hour
Then you know that 4 cars get washed in one hour so you multiply it by $5.00 because you want to see how much money they earn in one hour
After you know they earn $20.00 per hour you multiply that by 8 because you want to see how much money they earn in eight hours
So your final answer is $160 for washing cars in 8 hours
How would I solve this algebra question? Step by step
The area of a triangle is 83 square feet. The base is twice the height. Find the height.
Answer:
166
Step-by-step explanation:
83x2(twice the height)
Mrs. marks has to pay if she drives 300 miles. 25 + 0.30*m=
Answer:25.3
Step-by-step explanation:
Because your adding 25 to 0 and leaving the decimal point and taking away 0 from 30
Find the sides, and the value of x and y.
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
hi if you need help you can tell me
Answer: Nope, im currently doing well right now. Thank you though.
Step-by-step explanation:
In the standard (x, y) coordinate plane, what is the
distance between the origin and the point (,5 –12)
Answer:
13
Step-by-step explanation:
You simply apply the distance formula:
[tex]d=\sqrt{(\Delta x)^2+(\Delta y)^2} =\sqrt{(5-0)^2+(-12-0)^2} = \sqrt{25+144}=\sqrt{169}=13[/tex]
Gonna be sending in quite a few of these lol thanks
Answer:
A
Step-by-step explanation:
Simply multiply each rows of the firstly stated matrix by the columns of the second and then add each with respect to their location.
Use slopes and y-intercepts to determine if the lines 5x−5y=5 and 5x−5y=−5 are parallel.
They are parallel because they have the same slopes (5x)
Mrs. terrance has a large bin of 236 crayons. She divides them equally among four containers.
PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm
Answer:
i think E.942 cm³ is answer
Volume = πr²h
so
3.14×5×5×12
= 942 cm²
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
m = —1/3
Step-by-step explanation:
There are two clear points shown on the graph
point 1: (0;3)
point 2: (6;1)
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{1 - 3}{6 - 0} [/tex]
[tex]m = - \frac{2}{6} [/tex]
[tex]m = - \frac{1}{3} [/tex]
The standard error of is the _____. Group of answer choices variance of variance of the sampling distribution of standard deviation of the sampling distribution of difference between the two means
Answer:
standard deviation of the sample distribution of the difference between these two sample means
Step-by-step explanation:
Help help math please I don’t understand
Answer:
45°
Step-by-step explanation:
it's a mirror angle to the known angle
