A train travels 120 mi in 1 hour and 20 minutes. How many miles will the train go in 6 hours traveling at the same rate?
Answer: 541.32 miles
Step-by-step explanation:
First find the speed of the train in miles per hour.
1 hour 20 minutes needs to be converted to decimal:
= 1 20/60
= 80/60
= 1.33 hours
Speed is:
= Distance / Time
= 120/ 1.33
= 90.22 miles an hour
If the train is traveling 6 hours at the above speed, it will travel:
= Speed * time
= 90.22 * 6
= 541.32 miles
Luis needs 3 1/8 cups of blueberries for his pie. A store sells containers of blueberries that each hold 3/4 cups.
How many containers will Luis use to make his pie? Move numbers and a symbol to the lines to create an equation that shows the answer.
Answer:
3 1/8 divided by 3/4 = 4 1/6. basically 5 containers.
Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction 4 x Over x minus 3 EndFraction, x less-than 5 second row negative 7 x + 25, x greater-than 5 EndLayout. Which type of discontinuity occurs at x = 5? mixed infinite endpoint removable
Answer:
Its removable
Step-by-step explanation:
yes
this is a removable discontinuity
Here we have the piecewise function:
[tex]f(x) = \frac{-4x}{x - 3}[/tex] if x < 5
[tex]f(x) = -7x + 25[/tex] if x > 5.
We want to see which type of discontinuity we have at x = 5.
Remember that:
If we have two asymptotes, then is an infinite discontinuity
if just one point is missing, then it is a removable discontinuity
If the value drastically changes after the discontinuity, then its a jump discontinuity
Mixed case is when two of these happen.
Because we have a piecewise function, we need to evaluate both parts in x = 5.
If both parts give the same value, then we will have a removable discontinuity
if the values are different, then we have a jump discontinuity.
first part:
f(5) = -4×5/(5 - 3) = -20/2 = -10
second part:
f(5) = -7×5 + 25 = -35 + 25 = -10
So we got the same value, which means that this is a removable discontinuity
in the image below you can see the graph of the piecewise function, and see that as x tends to 5, both sides of the function tend to the same value.
if you want to read more about this,, you can see:
https://brainly.com/question/17317969
Judy and 2 friends won $145.00 at a fundraising raffle! They agreed to share the winnings equally. They received one $100 bill, four $10 bills, and five $1 bills
Answer:
There are 3 friends (Judy + 2 friends) who won $145.00
They want to share the winnings equally, but they got:
one $100 bill
four $10 bills
five $1 bills.
Assuming that they can share only those bills, the only way to share the winnings equally is:
Each friend gets one $10 bill
Each friend gets one $1 bill
Then each one gets $11.
And there is a surplus of:
one $100 bill (that can't be divided)
one $10 bill (that can't be divided)
two $1 bill (that can't be divided)
Then:
There is a common pool of $100 + $10 + 2*$1 = $112
And each one of the 3 friends gets $10 + $1 = $11
In the case where they can change the bills, each friend will get:
$145/3 = $48.33
f(x)=4x^2-17x+3 how many distinct real number zeros does f have?
Answer:
2
Step-by-step explanation:
2 distinct real number zeros
Step-by-step explanation:
The discriminant b^2 - 4ac
= (-17)^2 - 4*4*3
= 241
So it has 2 distinct roots.
Use substitution method to solve for x and y.
y = -8x -23 ...........(i)
y = 4x + 1 ............(ii)
Answer:
X=-2, y=-7
Step-by-step explanation:
Need help with school work
Answer:
the answer is 38
Step-by-step explanation:
c=a2+b2=362+152=39
Doug has $800 in his checking account. He spends
$40 each day out of the account
Which inequality can be used to find d,
the number of days it will take until his account has
less than $200 dollars in it?
A) 400-800 < 200
B) 400-800 < 200
C) 800+400 < 200
D) 800+40ds 200
E) 800-40d < 200
F) 800-40d s 200
Students, draw anywhere on this slide!
An ice cream shop offers 6 different flavors of ice cream and 11
different toppings. How many choices are possible for a single
serving of ice cream with one topping?
Answer:
66
Step-by-step explanation:
Since these two events are independent, multiply the two probabilities together:
6*11 = 66 (choices)
What is 52% of 475?
Help please
Answer:
247
Step-by-step explanation:
0.52x475=247
i hope this helps :)
Answer:
The answer is 247 because 52% of 475 is 247
Please help me choose the right answer
can anyone help????? quick!!
Answer:
C 35 hours
Explanion
5.25+4.75=10 every two days
10/2=5 hours a day
5x7=35 hours a week
Please mark brainliest
Solve by completing the square.
x2 + 12x + 8 = 0
In ΔSTU, t = 3.4 cm, u = 6.9 cm and ∠S=21°. Find the area of ΔSTU, to the nearest 10th of a square centimeter.
Answer:
4.2
Step-by-step explanation
Delta
The area of the triangle STU to the nearest of a square centimeter is 4.2 cm².
Area of a trianglearea of the triangle = 1 / 2 tu sin S
where
height = u sin STherefore,
t = 3.4 cm
u = 6.9 cm
∠S = 21°
Hence,
area of the triangle = 1 / 2 × 3.4 × 6.9 sin 21°
area of the triangle = 23.46 sin 21 / 2
area of the triangle = 23.46 × 0.35836794954 / 2
area of the triangle = 8.40731209633 / 2
area of the triangle = 4.20365604817
area of the triangle = 4.2 cm²
learn more on triangle here: https://brainly.com/question/22252675
Please help with very easy math teach me to understand and I'll give brainliest
Answer:
B
Step-by-step explanation:
since a²+b²=c²
this is proven correct in answer B
As;
(8^0.5)² +(3)²=(17^0.5)²
hey! i’ll give brainliest please help
Answer:
Conjunction
Step-by-step explanation:
Have a good day :)
Answer:
[tex]Conjuction[/tex] (๑・ω-)~♥”
Please help me pick the right answer
....................................................................
Answer:
its C
Step-by-step explanation:
5x+2+4x-3=9x-1
hopefully its helpful
How do I solve these problems?
Which is the value of (3+1)-(3-1)?
A. -1
o
B. 0
C. 2
C
D. 2i
O E 6+21
another easy math no scam links
Answer:
Step-by-step explanation:
x = 8
Identify the equation of the circle B that passes through (4, -6) and has center (3, -2).
Answer:
solution given :
centre (h,k)=(3,-2)
another point (a,b)=(4,-6)
now
radius =[tex] \sqrt{(3-4)²+(-2+6)²} [/tex]=√17
We have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x-4)²+(y+6)²=17 is a required equation.
Determine a series of transformations that would map figure F onto figure G.
PLEASE ASAP
Answer:
reflection, translation
Step-by-step explanation:
I can explain it if you want if you reply to this but since you are in a hurry that'll take too long to type right now haha
Which of the following topics is the Broadest?
Kyrie Irving's trade request
The movement of free-agent players
The NBA draft
Answer:
Step-by-step explanation:
its nba and kyrie
Answer:
nba aND KYRIE
Step-by-step explanation:
What is the domain of y =
cos-1^x?
Answer:
A
Step-by-step explanation:
correct on edge
Answer:
A) [-1,1]
Step-by-step explanation:
The function of y=cos⁻¹(x) has a domain of [-1,1] and a range of [0,π]. Observe the graph.
PLEASE HELP!! Step by step if possible
Answer:
r = 9
Step-by-step explanation:
[tex] In\: \odot O, [/tex] QP is tangent at point P and OP is radius.
[tex] \therefore OP\perp QP[/tex]
[tex] \therefore m\angle OPQ = 90\degree [/tex]
So, [tex] \triangle OPQ[/tex] is a right angled triangle. Hence, OQ will be its HYPOTENUSE such that OQ = r + 32
Now, by Pythagoras theorem:
[tex] OQ^2 = OP^2 + PQ^2 [/tex]
[tex] \therefore (r + 32)^2 = r^2 + (40)^2 [/tex]
[tex] \therefore\cancel {r^2} + 64r + 1024 = \cancel {r^2} + 1600 [/tex]
[tex] \therefore 64r = 1600-1024 [/tex]
[tex] \therefore 64r = 576 [/tex]
[tex] \therefore r = \frac{576}{64}[/tex]
[tex] \therefore r = 9[/tex]
Matt bowled three strings. His scores were 220, 166, and 181. What was his average for the three strings?
Answer:
189
Step-by-step explanation:
To find his average, we will find the mean. This means we will add 220+166+181 to get 567. When finding the mean we divide the answer but the total amount of addends. In our case we have 3 so we divide 567 by 3.
567 divided by 3 = 189
I hope this helps :DDDDDDDDDDD
The ratio of two siblings current age is 1/2. In ten years the ratio of their ages will be 3/4. How old are they now?
Answer: 3:5
Step-by-step explanation: heres the answer
In Olympic platform diving, the athletes dive from a platform that is 42 feet above
the water. A diver leaves the platform with an initial vertical velocity of 4 feet per
second. How many seconds does it take for the diver to enters the water?
Answer:
10.5 I think
Step-by-step explanation:
the platform is 42ft so if you divide 42 by 4 you get 10.5
Find the missing angle...
Answer:
15 degrees
Step-by-step explanation:
Because you add 115 and 50 to get 165. And we know that a triangles angles when added up will equal 180. So you subtract 180 and 165 to get 15 degrees, your missing angle!
Hope this helps!
surface area of prisms. please help with the work shown because i can't figure out how to solve these :(
here: :)
I did the work, and basically i solved for the area of the faces and then multiplied that by two to get the total surface area of the faces. Then I added in the areas of the sides connecting the two faces:
just as a referral: the formulas to find the faces are as follows:
rectangle: length times width
circle: pi x r^2
trapezoid: h(base1 + base2)
and triangle: (b x h)/2