A parking garage charges a 3.50$ base fee plus an hourly rate of 7.00$. If you have at most 21.50$ to pay for parking, how long can you park?
Answer:
You get a total of two hours of parking.
Step-by-step explanation:
First, you subtract the base fee of $3.50, which gives you $18.00. Then you subtract as many sevens there are in 18, which is two. And then your answer is shown, as two. Hope this helps!
A rock is tossed vertically from a height of 2m with an initial velocity of 20 ms-1. The height of the rock, h, after t seconds can be modeled by the polynomial function :h(t)=−4.9t2+20t+2, t≥0. Calculate how many seconds, rounded to three significant figures, it takes for the rock to hit the ground.
Answer:
The rock takes 4.18 seconds to hit the ground
Step-by-step explanation:
Function Model
The height of a rock h, after t seconds, can be modeled by the polynomial function:
[tex]h(t)=-4.9t^2+20t+2, t\geq 0[/tex]
When the rock hits the ground, the height is 0, thus we need to find the value of t such as:
[tex]-4.9t^2+20t+2=0[/tex]
A quadratic equation can be expressed as:
[tex]at^2+bt+c=0[/tex]
where a,b, and c are constants.
Solving with the quadratic formula:
[tex]\displaystyle t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The values for the given equation are:
a=-4.9, b=20, c=2
Applying the formula:
[tex]\displaystyle t=\frac{-20\pm \sqrt{20^2-4(-4.9)(2)}}{2(-4.9)}[/tex]
[tex]\displaystyle t=\frac{-20\pm \sqrt{400+39.2}}{-9.8}[/tex]
[tex]\displaystyle t=\frac{-20\pm 20.957}{-9.8}[/tex]
There are two possible solutions:
[tex]\displaystyle t=\frac{-20- 20.957}{-9.8}=4.18[/tex]
[tex]\displaystyle t=\frac{-20+ 20.957}{-9.8}=-0.1[/tex]
Since t > 0, the only solution is t=4.19 seconds
The rock takes 4.18 seconds to hit the ground
anty: Word problems LLV
Questions
answered
You have prizes to reveall Go to your game board. X
Oakland is hosting a city-wide arts festival at which vendors can pay to have a small booth or
a large booth. The fee for a small booth is $31, whereas the fee for a large booth is $87. The
city hopes to receive at least $2,300 in fees.
Select the inequality in standard form that describes this situation. Use the given numbers
and the following variables.
10
Time
elapsed
x = the number of small booths
26
00 12
HRIN
y = the number of large booths
SmartScore
out of 100
31 + x + 87 + y 2 2,300
50
87x + 31y 2 2,300
31x + 87y 2 2,300
87 + x + 31 + y 2 2,300
Sign out
Answer:
Step-by-step explanation:
Coco butter
There are about 4,000,000 students attending school, kindergarten through Grade 12, in New York. The average number of students attending a middle school in New York is 8 x 10^2. Approximately how many times greater is the overall number of K–12 students compared to the average number of middle school students?
Question 1 options:
A. 200,000,000 times greater
B. 2,000,000 times greater
C. 50,000,000 times greater
D. 5,000 times greater
Answer:
C
Step-by-step explanation:
big number
Answer:
D
Step by step explanation:
08*10^2=800
4,000,000/800=5,000
You might need
4.
3
2
1
-4 -3
-2
-1
1
2
CAS
3
4
-1-
1
-2
-3
-4+
What is the slope of the line?
Answer:
1
Step-by-step explanation:
Which relation is a function?
Answer: B
Step-by-step explanation:
Find the slope passes through (-5,2) and (3,3)
How do I solve permutations and combinations?
Answer:
by formulas . you can solve permutations and combinations by formulas .
PLZ HELP ME! What is this! I need help! y = -3x/5 + 2
Answer:
That is the slope intercept form
Step-by-step explanation:
At Teen Tops, a package of 5 T-shirts costs $38. At
Bargain City, a package of 4 T-shirts costs $34. Which
statement is the most accurate?
A. Bargain City is the better buy because it sells T-shirts at $8.50 per T-Shirt
B. Teen Tops is the better buy because the packages has more T-shirts
C. Bargain City is the better buy because $34 is less than $38
D. Teen Tops is the better buy because it sells T-shirts at $7.60 per T-shirt
Answer:
D
Step-by-step explanation:
Write the equation of the line through the points (-6, -19) and (2,5).
Answer:
m = 7/2 y = 7/2x + b
Step-by-step explanation:
Which Expression has a value of 2/3
Answer:
(8 + 24) ÷ (12 x 4)
Step-by-step explanation:
can someone help out with this please? (i just put a random answer) but can someone help me out with the actual answer and explain how it’s the answer?
Answer:
distribute on each side is correct :)
Joshua's cousin pledged $12 for a charity walk. If Joshua walked 3 miles, how much did his cousin pay per mile?
Answer:
$4
Step-by-step explanation:
Evaluate the expression, -1 x (-0.1 x -5 + 0.5)
Answer:
-1
Step-by-step explanation:
-1 x (-0.1 x -5 + 0.5)
= -1 x 1
= -1
Please answer this question
Answer:
if it is a square, then it must be a quadrilateral
Which of the following is the solution to the equation t/3 = -9
A music player app has 2 gigabytes of storage and can hold about 500 songs. A similar, but larger app has 80
gigabytes of storage. About how many songs can the larger app hold?
Answer:
40,000 songs, I think
Step-by-step explanation:
Your family needs a set of 4 tires. Which of the following deals would you prefer? Complete the explanation below to tell which deal(s) would be better.
(I) Buy 2, get two free (II) 45% off (III) 1/2off
The best deal would be either .
Either case would result in a discount of %,
which is better than the other alternative of %.
PLZ ANSWER ASAP!
Answer
Buy 2, get 2 free and/or 1/2 off
Step-by-step explanation:
OK, lets say that the tire price was 15. (l)= 15+15=30 (ll)= 15/45%= 33.33x4=133.32 (lll)= 15/2=7.5 7.5x4=30
1/8 to decimal and
10/11 to decimal
Answer:
Step-by-step explanation:
1
Answer: 1 divided by 8= 0.125
10 divided by 11= 0.90^
Step-by-step explanation:
The double number line shows that 4 bottled of water cost 20 dollars at a music
A student evaluated −4 + (−9 1/2) and got an answer of 5 1/2. What might the student have done wrong?
Answer:
Never converted -9 1/2 into an improper fractionAdded the two numbers together instead of subtractedI hope this helps!
what is the answer of 3x-5>1/2x+8x?
Answer:
x < -10/11
Step-by-step explanation:
A rectangular table top needs to be divided into six equal sections. Suppose that you are only able to determine the halfway mark between any interval. Explain how you would use these benchmarks to estimate 1/6 of the length of the table top.
Answer:
yes
Step-by-step explanation:
your grocery bill before taxes was $265.24 you have to pay 7.3% sales tax how much is your total grocery bill
Answer:
301.57
Step-by-step explanation:
I think this is it. I divided the total before taxes by the percentage and added what I got from the division to the total before taxes.
Answer:
Step-by-step explanation:
i need this this fast!! please
Answer:
last one
Step-by-step explanation:
Find an equation of a line that is parallel to y = 4x + 5 and goes through the point (-1, 3)\
Answer:
y = 4 x + 7
Step-by-step explanation:
10.
There are estimated 255 births every minute of every day. How many babies are born in the
world each hour?
255
6,120
12,250
15,300
Answer:
15,300
Step-by-step explanation:
multiply the estimated total number of births (255)
times 60 because there is 60 minutes in an hour
255*60= 15,300
Answer:
15,300
Step-by-step explanation:
1 hour: 60 minutes
60 x 255 = 15,300
Solve each system by elimination: -7x-6y=4 -3x+2y=20
Answer:
Step-by-step explanation:
-7x - 6y = 4
-9x + 6y = 60
-16x = 64
x = -4
-3(-4)+2y=20
12+2y=20
2y=8
y =4
(-4,4)
If b = 3, then b ^-2 is equivalent to ... please help fast lol I’m in a test
Answer:1/9
Step-by-step explanation: