Answer:
450 miles / hour or 201.17 meters/second
Step-by-step explanation:
Speed = distance / time
Distance = 2475 miles
Time = 5 hours and 30 minutes
I will solve this in both miles per hour and meters per second and I am unaware of the appropriate units for your class.
Since 30 minutes = 1/2 an hour, 5 hours and 30 minutes = 5.5 hours
2475 miles / 5.5 hours = 450 miles / hour
1609.34 meters = 1 mile
3600 seconds = 1 hour
450 miles / hour * 1609.34 meters/1 mile * 1 hour/3600 seconds = 201.1675 meters/second (can round to 201.17)
Note that when multiplying, I am simply multiplying the result by 1. Since
1609.34 meters = 1 mile , 1609.34 meters/1 mile = 1 if I divide both sides by 1. Because I multiply by 1, the number is still the same. In terms of the numerator and denominator, I choose which is which by analyzing which units should cancel out. For example, I multiply by 1 hour/3600 seconds because in miles/hour, hour is on the bottom, and hour is on the top in hours/seconds.
Your friend says that the equations y - 9 = -5(x + 2) and y = -5x – 19 represent two different lines. Is your friend correct? Explain.
Answer:
Step-by-step explanation:
The second equation is y = -5x - 19
The first equation needs a little work
y - 9 = -5(x + 2) Remove the brackets
y - 9 = -5x - 10 Add 9 to both sides.
y = -5x -10 + 9 Combine
y = - 5x - 1
There are two lines there. They are parallel, but they never cross. The y intercepts are not equal and they don't lie on top of each other.
Would I use subtraction for this problem ?
Answer:
Tim has 224 blue marbles.
Step-by-step explanation:
32 × 7 = 224
He has 7 times as many as Malanie (32)
I hope this helps!!!!
You attend a karaoke night and hope to hear your favorite song. The karaoke song book has 900 different songs (your favorite song is among them). Assuming that the singers are equally likely to pick any song and no song repeats, what is the probability that your favorite song is one of the 20 that you hear that night?
Answer: I'm assuming it's 20/900 because there is 900 songs in total.
Step-by-step explanation:
The probability that your favorite song is one of the 20 songs you hear that night is 1/900.
To find the probability that your favorite song is one of the 20 songs you hear that night, we can use the concept of probability.
The total number of songs in the karaoke song book is 900. Since each song is equally likely to be picked, the probability of randomly selecting your favorite song from the entire song book is 1 out of 900, or 1/900.
Now, you will hear a total of 20 songs that night. Out of those 20 songs, you want to know the probability that your favorite song is one of them. Since there is only one favorite song, the favorable outcomes are 1.
Therefore, the probability that your favorite song is one of the 20 songs you hear that night is:
Probability = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability = 1 / 900
So, the probability that your favorite song is one of the 20 songs you hear that night is 1/900.
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Evaluate the expression.
3x + 2y for x = 4.2, y = 2.7
Answer:
18
Step-by-step explanation:
4.2 • 3= 12.60
2.7 • 2= 5.4
12.6+ 5.4=
18.0
Suppose that you have $1500 to spend on fencing for your rectangular yard. The fence meets with your
house on one side, so you only need to fence three sides of the rectangle. The sides touching the house
will be equal in length, call these lengths x feet. And label the length of the third side y feet. Fencing
costs $57 per foot.
a. Write a function that expresses total fence cost as a function of x and y.
b. Write a function that expresses the total area as a function of x and y.
c. Write a function that expresses the total area as a function of x only. Assume that you want to
spend as much of that $1500 as you can.
d. Graph the result of c and past below. Be sure to include where the function reaches a maximum.
The cost function of the rectangular yard is 114x + 57y = 1500
Let x represent the length of the rectangular yard and y represent the width of the rectangular yard.
Since you need to fence only 3 sides, hence:
2x + y = Perimeter
Each foot cost $57 per foot and there is $1500 to spend, hence:
2x(57) + y(57) = 1500
114x + 57y = 1500
y = (1500 - 114x) / 57
The area (A) of the rectangular yard is:
A = x * y
A = xy
A = x[(1500 - 114x) / 57)
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what is the property of y • 0 = 0
Answer: The property of y x 0 = 0 is the Identity property.
Step-by-step explanation:
I hope this is what you were looking for, I apologize if I have been mistaken.
GUYS PLS HELP IF I DONT PASS MY PARENTS ARE GONNA BEAT ME PLS HELP!!!
Which inequality includes q = 24 in the solution set?
1/2q>12
3/4q<18
6≥1/4q
9≤1/3q
Answer:
Im 99% sure its B
Step-by-step explanation:
What point lies on the line described by the equation y+8=4(x-5)
Please help me with this problem. I'm kind of stuck and don't know what to do.
Try this option:
1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;
2) if sin(u)=1/9, then cos(u):
[tex]cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};[/tex]
3) [tex]if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then[/tex]
[tex]sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};[/tex]
[tex]cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};[/tex]
[tex]tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.[/tex]
A pianist charges $200 to perform at a restaurant. At the end of the night she collected her tips and left with a total earning of $310. Write an equation and solve for the amount she made in tips for the performance.
Answer:
310-200= T
Step-by-step explanation:
310 = 200 + x
Let’s break this down. 310 is their total earning, 200 is our set price for performing, and x represents how much she earned in tips.
310 = 200 + x
110 = x
Hope this helps!
Gary wants to buy a video game with a selling price of $48 on sale for 50% off. The sales tax in his state is 4.5%.
Answer:
$25.08
Step-by-step explanation:
$48 to which you apply the 50%
48/2= $24
then you add the sales tax:
24+4.5%= 25.08
Make the d subject of the formula c = kd^2 + e
[tex]c = k {d}^{2} + e \\ = > c - e = k {d}^{2} \\ = > {d}^{2} = \frac{c - e}{k} \\ = > d = \sqrt{ \frac{c - e}{k} } [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Which relation is a function mastery test
Answer:
The relation which is a function is the one in which none of the first coordinates repeated.
Step-by-step explanation:
help me pls guys! im being timed and need some help!
Answer:
B.
Step-by-step explanation:
she only has $60 to spend therefore, she has the option of spending all of it, or less. However she cannot spend money she doesn't have.
Answer:
I think it's B
Step-by-step explanation:
(So far she has spent $45.95, plus the extra gift, and that has to equal less than or equal to $60) =
45.95 + extra gift (x) ≤ 60
What multiplier would you use to decrease a value by 44%
Answer:
I think the answer is4k3+0 or 4
Estimate 196.999 ÷ 1.582?
Answer:
124.5252844501
Step-by-step explanation:
to estimate we have 125
Please look at picture for question.
Answer:
A 1.5
B -1/3
C -4/3
Step-by-step explanation:
I solved this by remembering...
numbers above 0 are positive
-1/3 is greater than -1
-4/3 means -1 AND 1/3 so this is less than -1
A = 1.5 (+ve value, upwards)
B = -1/3 (-ve value, downwards)
C = -4/3 (-ve value, downwards)
A = 1.5 (lies in between +1 & +2)
B = -1/3 (-0.33 lies in between 0 & -1)
C = -4/3 (-1.33 lies in between -1 & -2)
See the attached picture for more details.
______
Hope it helps ⚜
At the local ballpark, the team charges $5 for each ticket and expects to make $1,500 in consessions. The team must pay its players $2,200 and pay all other workers $1,500. Each fan gets a free bat that costs the team $3 per bat. How many tickets must be sold to break even?
A - 275 B - 1100. C - 2600 D - 440
Answer:
B - 1100 tickets
Step-by-step explanation:
Fixed costs appear to be ...
$2,200 +1,500 = $3,700
The amount of cost that is not covered by concession income is ...
$3,700 -1500 = $2,200 . . . . remaining cost
The contribution margin per ticket is apparently ...
$5 -3 = $2
So, the number of tickets that must be sold to cover the remaining cost is ...
$2200/($2/ticket) = 1100 tickets
co-efficint of (-xy²) in -5x³y²z⁴
[tex]-5x^3y^2 z^4 = 5x^2z^4(-xy^2)\\\\\text{The coefficient of}~ (-xy^2) ~\text{is }~ 5x^2 z^4.[/tex]
What is the area of the rhombus? 10 km 7 km
Answer:
A=pq
2
Step-by-step explanation:
A=35
Answer:
70KM
Step-by-step explanation:
AREA MEANS MULTIPLY SO 10X7=70
The instructions for mixing a powdered cleaner and water state that you should mix 3 ounces of powder in a 14 quart pal 3/4 full of water. To obtain a mixture of equal strength and a mop bucket containing 28 gallons of water requires how many ounces of powder
Answer:
this doesn't make sense
Step-by-step explanation:
07
Question 4
What is the 11th term of the geometric sequence
-1.5, -3, -6, -12, ...? /(5 pts)
Your Answer:
Answer:
-1536
Step-by-step explanation:
By taking the general formula for the geometric sequence, we substitute the variables with the values of our sequence, finding -1536 as the 11th term
7 students have 8 books each. Which helps you find the total number of books?
7 × 8
7 + 8
7 ÷ 8
7 - 8
Answer:
7 × 8
Step-by-step explanation:
7 number of students × 8 books each student has 7 × 8 = 56
Help use photo for questions
How would I solve this algebra question? Step by step
Which group of numbers is listed from least to greatest?
0 -2,3,5,-8,9
0 -4, -6, -7,-8, -9
0 -2,-1, 0, 4,9
O 7,4, -6, -7, -9
Answer:
the third one
zero should always come after the negatives, and a whole number should always end the set.
6. Is the inequality 5 - x2 < 4
true for x= 1?
Answer:
no
Step-by-step explanation:
since x=1 5-2<4 so then 3<4 so no Im not sure
Answer:
No
Step-by-step explanation:
5-x² when x=1 is 4.
1²=1
5-1=4
4 is not less than 4 so it can't be true.
Question 1: Whose percentage increased more from 1984 to 2014, males or females? By how much more did it increase?
My Answer: Between 1984 to 2014 males diagnosed with diabetes increased more than females. The number of males diagnosed with diabetes increased more than .9% compared to females.
Help my teacher said it was wrong
The percentage increase are applied to the number of male and female
from the previous period.
From 1984 to 2014, the percentage of females increased more than males.Reasons:
Let F represent the initial number of females and let M represent the initial number of males before 1984.
We have;
In 1984
Number of females = F × 1.026 = 1.026·F
number of males = M × 1.031 = 1.031·M
In 1994
Number of females = 1.026·F × 1.032 = 1.058832·F
Number of males = 1.031·M × 1.032 = 1.063992·M
In 2004
Number of females = 1.058832·F × 1.056 = 1.118126592·F
Number of males = 1.063992·M × 1.049 = 1.116127608·M
In 2014
Number of females = 1.118126592·F × 1.066 = 1.191922947072·F
Number of males = 1.116127608·M × 1.059 = 1.181979136872·M
Therefore, between 1984 and 2014, we have;
The percentage increase of females = 1.191922947072 × 100 - 100 ≈ 19.2%
The percentage increase of males = 1.181979136872 × 100 - 100 ≈ 18.2%
Therefore;
The percentage increase of the females is more than the males by (1.191922947072 × 100 - 100) - (1.181979136872 × 100 - 100) ≈ 0.994%
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Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7. Yes, because (6, 4) is above the line No, because (6, 4) is below the line Yes, because (6, 4) is on the line No, because (6, 4) is on the line
Answer:
No, because (6, 4) is on the line
Step-by-step explanation:
y>-1/2(x)+7
4>-1/2(6)+7
4>-3+7
4>4
what is the area and perimeter of the figure with the given vertices? (7,8) , (-5, -8) , (7,-8) , (-5,8)?
Answer:
perimeter: 56 unitsarea: 192 square unitsStep-by-step explanation:
We assume you're interested in the convex polygon, so the given vertices are not listed in order around the figure.
The figure is 12 units by 16 units, so has a perimeter of ...
P = 2(L +W)
P = 2(16 +12) = 56 . . . . units
and an area of ...
A = LW
A = (16)(12) = 192 . . . . square units