An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
9514 1404 393
Answer:
189
Step-by-step explanation:
The difference between the ratio units is 8 -1 = 7.
The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.
The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.
__
That was 168 child tickets and 21 adult tickets.
Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x
Answer:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)
Determine the slope (m):
[tex]y = 1 -2x[/tex]
Rearrange into slope-intercept form:
[tex]y = -2x+1[/tex]
Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of [tex]\displaystyle\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle\frac{1}{2} x+b[/tex]
Plug in the given point (1,3) and solve for b:
[tex]3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}[/tex]
Therefore, the y-intercept is [tex]\displaystyle \frac{5}{2}[/tex]. Plug this back into [tex]y=\displaystyle\frac{1}{2} x+b[/tex]:
[tex]y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}[/tex]
I hope this helps!
1. A vector starts at point ( -2, 1) and ends at point (-6, -2) what is the horizontal component of the vector?
2. A vector starts at point ( -6, 0) and ends at point (10, -4) what is the vertical component of the vector?
3. A vector starts at point ( -3, 9) and ends at point (3, -7) what is the magnitude of the vector, answer to two decimal places.
Answer:
Using vector concepts, it is found that:
1. The horizontal component of the vector is 5.
2. The magnitude is of 14.87.
3. The vertical component of the vector is 2.
-------------
A vector (x,y) has x as horizontal component and y as vertical component.
The magnitude is
Given two points, a vector is formed by the subtraction of the endpoint by the start point.
-------------
Item 1:
The horizontal component of the start is -3.
The horizontal component of the end is 2.
Thus, the horizontal component of the vector is
-------------
Item 2:
Starts at (1,9), ends at (6,-5), thus, the coordinates are:
The magnitude is:
The magnitude is of 14.87.
-------------
Item 3:
The vertical component of the start is -10.
The vertical component of the end is -8.
Thus, the vertical component of the vector is
Step-by-step explanation:
Can you help please.?
Answer:
2.33yd or 2 1/3yd
Step-by-step explanation:
7/3=2.33
Enter an equation in standard form to model the linear situation. A bathtub that holds 41 gallons of water contains 11 gallons of water. You begin filling it, and after 5 minutes, the tub is full.
Answer: In this equation, let "x" equal the rate at which the tub will be filled. The tub holds 32 gallons, which will be one-half of the equation. The tub already contains 12 gallons, so this will be half of the other side of the equation. The rate is "x" gallons per minute, and the time it required was 5 minutes, so this would be "5x". Placing all these parts together gives an equation of (32 = 5x + 12) gallons per minute dispensed.
rationalize the denominator of
[tex]4 \div \sqrt{x} + 2 \sqrt{y } [/tex]
Step-by-step explanation:
the answer is in the image above
What is
(1/2)^2- 1/2 -6
.
Answer:
-6.25 tI am not sure if this can help you but this is what I got
Find the surface area and the volume of the prism .
Answer:
Surface area is 1140cm^2
Volume is 1800 cm^3
Step-by-step explanation:
12x5=60x2=120
5x6=30x2=60
20x6=120x8= 960
120
60
+960
1140
12x20=240x10=2400
5x6=30x20=600
2400-600=1800
WILL MARK BRAINLIEST AND 50 PTS This table shows the minutes students spent studying for their science exam and the scores they received. SHOW YOUR WORK
Study time (min) 19 12 34 10 17 42 60 15 9 21 30 50
Exam score 82 78 90 78 85 97 100 85 73 90 91 98
Use a graphing calculator to model the data using a linear function.
What is the correlation coefficient of the data?
−0.74
−0.48
0.93
0.98
Answer:
The answer is 0.93
Step-by-step explanation:
I took the test
Brooke and her friends buy a jumbo bag of Millicent's Mini Donuts at the fair. They sit at a
picnic table to share them. Brooke evenly distributes the donuts onto 13 napkins, one for
each person in the group. Each napkin has 4 donuts.
Which equation can you use to find the number of donuts d in the bag?
d + 13 = 4
d
= 4
13
13d = 4
d - 13 = 4
Answer:
d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided
Step-by-step explanation: 13/d
Increase £15837.77 by 18.5% Give your answer rounded to 2 DP.
Answer:
£18, 767.7574
Step-by-step explanation:
15837.77 x 18.5%=2,929.98745
15837.77 + 2,929.98745= 18, 767.7574
Hope this helps! Please ask me freely if you have any questions regarding this.
Answer:
Step-by-step explanation:
100+18.5=118.5
15837.77×118.5 %=18767.75745≈18767.76
An item is regularly priced at $40. It is on sale for 30% off the regular price. What is the sale price?
40$ - 100% (full price)
x$ - 70% (100-30=70%)
40 * 70 = 100x
2800 = 100x
x = 28
Answer 28$
or
40$ = 100%
then 1% = 40/100 = 0.4$
so 70% will be 0.4 * 70 = 28$
Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4
Answer: Therefore, your equation of the function will be y = 4x – 4.
Step-by-step explanation:
A coin is tossed 6 times, find the probability of getting 3 heads.
Answer:
3/6
Step-by-step explanation:
Answer:
0.31 if you get exactly 3 heads or 0.66 probability if you get at least 3 heads, or 50%
Step-by-step explanation:
0.31 is the probability of getting exactly 3 Heads in 6 tossed
0.66 is the probability of getting at least 3 heads
What is the domain of the function?
Negative infinity less-than x less-than infinity
Negative 1 less-than x less-than infinity
0 less-than-or-equal-to x less-than infinity
1 less-than-or-equal-to x less-than infinity
Answer:
(-∞,∞)
Step-by-step explanation:
Answer:
first one
Step-by-step explanation:
[tex] \sqrt[3]{x} [/tex]
has the domain all of the real numbers
Sarah is buying some school clothes.
She found a sweater she likes that costs $18.85 and some t-shirts that are on sale for $4 each.
She got several t shirts of different colors and spent a total of $54.85.
Which equation describes the situation where x is the number of t shirts?
2 1/7 x 1/3 in lowest terms??
Help please
25 points for the right answer
Answer:
5/7
Step-by-step explanation:
2 1/7 x 1/3
= 15/7 × 1/3
= 15 × 1/7 × 3
= 15/21
= 15 ÷ 3/21 ÷ 3
= 5/7
HELP PLSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I need help in that too :(
Answer:
1 true
2true
3 false
4 false
Step-by-step explanation:
Which of the following is true when constructing a line graph?
Each axis has even spacing.
Each point represents a data pair.
The vertical axis shows increments of time.
The scale starts at the minimum value and goes to the maximum value. please help fast!!!!
Answer:
B
Step-by-step explanation:
Answer:
Each axis has even spacing.
Each point represents a data pair.
I took the test
help plz for brainliest
35005 multiplied by
6 =
Answer:
210030
Step-by-step explanation:
You can use a calculator.
a class has 28 students. The ratio of girls to boys is 4:3. How many girls
Answer:
let
no of girls be 4x & boys be 3x
or, 3x+4x=28
or, 7x=28
x=28/7=4
hence no of girls = 4x=4*4= 16
how to solve 700/2,5 with steps please
5n + 1/8 = 3n-5/4
Solve for n
Answer:
[tex]n=-\frac{11}{16}[/tex]
Step-by-step explanation:
[tex]5n+\frac{1}{8}=3n-\frac{5}{4}[/tex]
[tex]5n-3n=-\frac{5}{4}-\frac{1}{8}[/tex]
[tex]2n=-\frac{11}{8}[/tex]
[tex]n=-\frac{11}{16}[/tex]
chứng minh rằng S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 chia hết cho 6
Answer:
steps below
Step-by-step explanation:
5¹+5² = 30 30/6 = 5¹
5³+5⁴ = 125 + 625 = 750 750/6 = 125 = 5³
5⁵+5⁶ = 18750 18750/6 = 3125 = 5⁵
...........
(5¹⁹⁹¹+5¹⁹⁹²)/6 = 5¹⁹⁹¹
sum of every couple consecutive multiple of 5 are multiple of 6, the sum
S= 5+ 5^2 + 5^3 + ...+ 5^1991 + 5 ^1992 IS multiple of 6
3x-2y=4
2x+3y=7
X=?
Y=?
Plz step by step
Answer:
x= 2
y= -1
Step-by-step explanation:
Simultanous equation(elimination method)
STEP 1: multiply the number near x with the opposite equation.
in this case in equation 1, three is near x so u multiply it with the second equation.
2(3x-2y=4)
3(2x+3y=7)
you get 6x-4y=8
6x+9y=21
STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign
6x-4y=8 <-------- 1st equation
6x+9y=21 <-------- 2nd equation
SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21
STEP 3: Now do the elimination part and calculation
+6x-4y=8
-6x-9y= -21
___________
0x-13y= 13
NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE
STEP 4: Solve for y
now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y
-13y= 13
y= 13/-13
y= -1
STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation
ORIGINAL EQUATION: 3x-2y=4
3x-2(-1)=4
3x-2=4
x= 6/3
x= 2
NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER
Answer:
x=2, y=1
Step-by-step explanation:
3x-2y=4
2(3x-2y)=2(4)
6x-4y=8
2x+3y=7
3(2x+3y)=3(7)
6x+9y=21
6x+9y-(6x-4y)=21-8
6x+9y-6x+4y=13
13y=13
y=13÷13
=1
3x-2y=4
3x-2(1)=4
3x=4+2
=6
x=6÷3
=2
Hence, x=2 and y=1.
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
It takes 12 hours to fill a pool with the inlet pipe. It can be emptied in 15 hours with the outlet pipe. If the pool is 1/2 full to begin with, how long will it take to fill it from there if both pipes are open?
Answer:
12x15=100
Step-by-step explanation:
Its times because I know it
C: infinitely many solutions, help solve fast pls
Solve the equation to find a positive value of c:
62 + 82 = c2
(20 points)
Answer:
The equation has 2 solutions
c = -12
c = 12
Step-by-step explanation:
Swap the sides
c² = 62 = 82
Simplify the equation
c² = 144
separate the solutions
c = ± 12
Solution
c = -12
c = 12