Answer:
8 mph and 23 mphStep-by-step explanation:
Let the speed of runner be r and speed of cyclist be c
Time = 10 hoursDifference in distance = 150 mWe have following equations based on the given
10c - 10r = 150c = 2r + 7Simplifying first equation
c - r = 15c = r + 15Comparing this with second equation
2r + 7 = r + 152r - r = 15 - 7r = 8 mphAnd finding the value of c
c = 8 + 15 c = 23 mphA school dance sold 2 types of tickets: one for freshman/sophomores (9th/10th graders), and one for juniors/seniors (11th/12th graders). The freshman/sophomore tickets cost $8, and the junior/senior tickets cost $6. They sold a combined total of 525 tickets, and earned a total of $4600. How many tickets of each type did the school sell? Write and show all algebra work; you cannot use graphing to solve this.
9514 1404 393
Answer:
freshman/sophomore: 725junior/senior: -200Step-by-step explanation:
It is convenient to let a variable represent the number of the highest-price tickets sold. We'll use x for that. Then the number of lower-price tickets sold is 525 -x and the total revenue is ...
8x +6(525 -x) = 4600
2x = 1450 . . . . . . . . . . . . subtract 3150
x = 725
525 -x = -200
__
The school sold 725 freshman/sophomore tickets and -200 junior/senior tickets.
_____
Comment on the question
There is apparently an error in the question somewhere. The average revenue per ticket is ...
$4600/525 ≈ $8.76
You cannot sell $6 and $8 tickets and earn more than $8 per ticket sold. (Average revenue must be between $6 and $8 per ticket.)
__
If we assume a typo in revenue, and that it should be $3600, then the sales will be 225 freshman tickets and 300 senior tickets.
A remote control car travels at a rate of 10 feet per second. How many inches per second is this? (1 feet = 12 inches)
A certain list contains 11 consecutive multiples of 3.
The first number is 21. What is the middle number?
Answer:
If this set contains an odd number of elements, say, 3, 6 and 9, then median of a set will ... as well as the mean of this set, will equal the mean of the two middle elements. ... the statement (1) says: All members of S are consecutive multiples of 3 ... I think the right answer is C, since 9 + 12 + 15 + 18 + 21 = 75
Step-by-step explanation:
We can't write every number as a sum of consecutive numbers - for example, 2, ... the sum is an odd number, e.g. 1+2=3 2+3=5 3+4=7 4+5=9 5+6=11 6+7=13 ... Some spotted a similar pattern for multiples of 3. ... If you add any 3 consecutive numbers together it will always equal a multiple of 3, e.g. ... 1+2+3+4+5+6=21
Answer:
36
Step-by-step explanation:
11 multiples of 3 starting from 21 - 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51
21 is the first
51 is the last
36 is in the middle
find the value of x.
(6x+8)
(7x-7)
Answer:
ITS 95
Step-by-step explanation:
TRY CALCULATING IT
sorry i don't know
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HELP ASAPPPP
What is the equation of this graphed line? If the line passes through (-6,-3) and (6,-7)
Answer:
y= -1/3x - 5
Step-by-step explanation:
Answer:
The answer would be y=-1/3x-7.
Step-by-step explanation:
Using the formula y2-y1/x2-x1 to find the slope of the line, plug in the numbers and you will get a slope of -1/3. Now using the the formula y-y1=m(x-x1) and plug in the numbers, and you will get the equation y=-1/3x-7.
3 1/3x(-3 3/5) divided by (-1/3)
Answer:
31/3
Step-by-step explanation:
31/3*(-33/5) divided by (-1/3)
10/3*(-15/5) *(-1/3)
2/3*(-5)*(-1)
= 10/3
Find each product mentally using the distributive property show the steps that you used.
1.8x71
2.6x83
Answer:
1.8 x 71 = 127.8, just 18 x 71 = 1278, then count the the decimal place from the right, i.e 127.8
same for 2.6 x 83 = 215.8
.......ok try 5.52 x 5
Answer:
27,579.24 OR 343.6
Step-by-step explanation:
I don't know if this is what you mean but 1.8x71x2.6x83=27,579.24
Also, (if that was not what you meant), 1.8x71=127.8, 2.6x83=215.8, 127.8+215.8=343.6
Round 125000 to 3 decimals!
Answer:
1.25 is your answer, Since the zeros are just place holders
Step-by-step explanation:
hope this helps!
Have a good day.
Today 4 friends went out for lunch. Their total bill was $24.80, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back
Answer:
each person would getb3 dollars back
Step-by-step explanation:
since each friend pays $10 and there are 4 friends the total is 40 but now you have to do $40.00 minus $25.00 because of tax and gratuity so when you do that you get $15.00 now you have to do 15 ÷ 4 and that equals $3.75 and since you cant divide 75 coins to 4 people we dont add that but now you have your answer each friend gets $3.00
You purchase 20 lottery tickets, for which the probability of winning some prize on a
single ticket is 1 in 20. What is the probability that you will have at lease one winning
ticket among the 20 tickets?
write 9.57 in word from
Answer:
Nine Point Five Seven....
Step-by-step explanation:
Answer: nine and fifty-seven hundredths
Step-by-step explanation: the numbers to the right of the decimal ends with a ths.
2gh – (3 + 7) + x/4
Choose 3 answers
Answer:2182
Step-by-step explanation:
Are these ratios equivalent?
16 shipments every 6 years
8 shipments every 3 years
yes
no
Answer: Yes
Step-by-step explanation:
If you do 16/6 you get 2.667 and if you do 8/3 you also will get 2.667
IM A DUMB BLONDE AND I NEED YOUR HELP RIGHT NOW
Answer:
- 1 and 3
Step-by-step explanation:
what is 0945987123987634678 divided by 67899876543444445678
Step-by-step explanation:
1.23
hdhdjdjdhdhdhjdjdjdjd
Answer:35652846437467
Step-by-step explanation:simple math
Question 1
Manipulate the base area and the height of the pyramid, setting different values for each. Record the base dimensions, height, and the exact
volume for two kinds of pyramids: one with a square base and one with a rectangular base. Also calculate the decimal value of each volume, and
verify that it matches the volume displayed by the tool. (You might see some discrepancies in the tool due to rounding of decimals.)
Answer:
Step-by-step explanation:
What is 5 tens + 5 tens in standard form
Answer:
19531250
Step-by-step explanation:
I hope it helps
1. Given that f(x) = 4x2 + 10x + k ,find the value
of k when f(-1).
A. 6
c. 4
B. 3
D.2
help me please I will mark brainlyest
Answer:
B
Step-by-step explanation:
The equation is y=mx+b
Where m is the slope
And B is the y point of the y-intercept
Answer:
The answer is b to this question
Which diagram best shows how fraction bars can be used to evaluate 1/2 divided by 1/4
Answer:
first one
Step-by-step explanation:
it is what is it
A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
Step-by-step explanation:
It will take 3hr and 36 min to travel 180 miles
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[tex]s = \frac{distance \: traveled}{time \: of \: the \: distance \: traveled} \\ [/tex]
[tex]48 = \frac{180}{t} \\ [/tex]
Multiply sides by t
[tex]48 \times t = \frac{180}{t} \times t \\ [/tex]
[tex]48t = 180[/tex]
Divided sides by 48
[tex] \frac{48}{48} t = \frac{180}{48} \\ [/tex]
[tex]t = \frac{4 \times 9 \times 5}{4 \times 3 \times 4} \\ [/tex]
[tex]t = \frac{3 \times 5}{4} \\ [/tex]
[tex]t = \frac{15}{4} \\ [/tex]
[tex]t = \frac{16 - 1}{4} \\ [/tex]
[tex]t = \frac{16}{4} - \frac{1}{4} \\ [/tex]
[tex]t = 4 - 0.25[/tex]
[tex]t = 3.75 \: \: \: \: hours[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
PLEASE HELP ME!!! THIS IS URGENT!!! DUE IN 5 MINUTES!!!
LOOK AT THE IMAGE
Answer:
1,5
Step-by-step explanation:
The expression −8x3(7x6 − 3x5) is equivalent to?
Answer:
-56x^9+24x^8
Step-by-step explanation:
Red has already lost three iphones.He didn't spend a lot of money on his newest cellphone because he knows he will eventually lose that one too.Is it deductive or inductive reasoning?
Answer:
deductive reasoning
Step-by-step explanation:
The ratio of students that wear glasses to students that do not wear glasses is 1:4. If there were a total of 30 students. How many students wear glasses?
Answer:
34
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
For every 5 students, 1 wears glasses and 4 don't. If you take the total number of students, 30, and divide it by 5, you have 6 groups of 5 students. There will be 1 student for each of those groups wearing glasses, or 6 students.
All six digits in the number are even one digit is used twice all other digits are used once the ones digit is 4 times the hundreds digit the tens digit id the difference of the ones digit and hundreds digit the same digit is in the tens place and hundreds thousands place the thousands digit is not zero
Answer:
rffrefr
Step-by-step explanation:
Guided practice (page 3)
A photo studio charges a $50 sitting fee and $25 per photo sheet purchased. The number of photo sheets purchased equals
spent plus
times the number of dollars
Hint
Submit Answer
Answer:0
Step-by-step explanation:0=0 he has no money
The equation that represents the total amount will be y = 25x + 50.
What is a linear equation?A connection between two or more factors results in a linear model when displayed on a graph. The parameter will have a degree of one.
The linear equation is given as,
y = mx + c
Where c is the line's y-intercept and m is the line's y-slope.
A photo studio charges a $50 sitting fee and $25 per photo sheet purchased.
Let x be the number of photo sheets purchased and y be the total amount.
The slope of the equation is 25 and the y-intercept will be 50.
y = 25x + 50
The equation that represents the total amount will be y = 25x + 50.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
The price of a train ticket is 155.00 What would it be if you had a 75% discount
Answer:116.25
Step-by-step explanation:
PLEASEEE HELP FAST! One solution each is given on four quadratic equations. Assuming that each quadratic equation has two solutions, what is the second solution for each equation?
Answer:
Step-by-step explanation:
If one solution of a quadratic equation is a complex number (a + bi),
Other solution of the equation will be the conjugate of the first solution.
So the other solution will be in the form of (a - bi)
If one solution is, x = -4 - 5i
Other solution will be, x = -4 + 5i
If one solution is, x = 4 + 5i
Other solution will be, x = 4 - 5i
If one solution is, x = 5 - 4i
Other solution will be, x = 5 - 4i
5.) You are working for a car dealership. You are doing an inventory of the lot. You counted 34
trucks. 15 cars, and 8 SUVs. What is the ratio of SUVs to total vehicles on the lot?
Answer: 8 SUVs to 57 total
Step-by-step explanation: You add 34 + 15 + 8 which gives you 57 Then you see there are 8 SUVs. So the answer is 8 to 57.
Sorry. I kinda got ahead of myself and excited. Guess mistakes happen. I was right the first time. I'm just so tired right now