A train traveled 1/4 of the distance between two cities in 2/3 of an hour. at this rate, what fraction of the distance can the train travel in one hour
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Explanation:
A = fraction of the distance traveled in 2/3 of an hourB = time value that pairs up with AC = fraction of the distance traveled in 1 hourD = time value that pairs with CIn this case,
A = 1/4B = 2/3C = unknownD = 1We can set up the proportion
A/B = C/D
Which cross multiplies to
A*D = B*C
Let's plug in the known values and solve for C
A*D = B*C
(1/4)*(1) = (2/3)*C
1/4 = (2/3)*C
(2/3)*C = 1/4
3*(2/3)*C = 3*(1/4) ..... multiply both sides by 3
2C = 3/4
(1/2)*2C = (1/2)*(3/4) .... multiply both sides by 1/2
C = (1*3)/(2*4)
C = 3/8
The train travels 3/8 of the distance in 1 hour.
what is x? -2.5x- 2=18
Answer:
x = -8
Step-by-step explanation:
-2.5x - 2 = 18.
Add 2 to both sides.
-2.5x = 20.
Divide both sides by -2.5.
x = -8
What is the probability that a student who plays an instrument is in band
Answer:
20/25
Step-by-step explanation:
Here, we want to calculate the probability that a student who plays an instrument is in band
The number of students who play instruments are;
25
Amongst this,
20 are in a band
So the probability of having a student who plays instrument and is in a band will be;
20/25 = 4/5
50 to 60 as a fraction in simplest form
Answer:
5/6
Step-by-step explanation:
50/60 in simplest form is 5/6
You would divide both sides by 10
The simplified expression of the expression 50 to 60 is 5/6
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
50 to 60
Express as equation
50 to 60 = 50/60
Divide 50 by 60
So, we have the following representation
50 to 60 = 5/6
Using the above as a guide, we have the following:
The expression cannot be further simplified
Hence, the simplified expression is 5/6
Read more about expressions at
brainly.com/question/30492964
#SPJ6
QUESTION 5
Find the slope of the line through each pair of points.
Type your answer as a fraction.
(-2, 6), (10, -5)
Answer:
m= -11/12
Step-by-step explanation:
Answer:
-11 / 12
Step-by-step explanation:
Slope = Rise / Run
Slope = y2 - y1 / x2 - x1
Slope = -5 - 6 / 10 - -2
Slope = -11 / 12
A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 2 and the coin toss is tails?
Answer:
'5,3$492
Step-by-step explanation:
649`~_fs?.©α€~_a sv zbs svsh
Does anyone know??????
Answer:
67 degrees
Step-by-step explanation:
Angle 2 and angle 7 are vertical angles since l is the transversal.
so that means <2=<7
4x+39=12x-17
Simplify: isolate the variable:
56=8x
divide by 8:
7=x
now plug it in to m<2
4(7)+39=m<2
28+39
67=m<2
i hope this helps!
what value of x makes the equation 6x - 10 = -10 true
a -3 1/3
b 0
c 5
d 8 1/3
When Mr. Day's family moved to town, the rented a house fo $215 a moth. The land lord recently increased the rent by $8.50 a month. What is the percent of increase in rent? Round to the nearest Hundredth of a percent.
can someone help me find the slopes for all three problems this was due two days ago
:(
Two of the three representations have lines with the same slope. What is that slope?
Answer:
Step-by-step explanation:
Can someone help me?
Answer:
the transfer of energy ( I think)
Sound wave
Transverse wave
I'm sorry if I got it wrong...
1 What number is equivalent to the expanded form shown below?
A.203.043
B.203.403
C.230.430
D.230.403
Can someone help me with this
Answer
B
203.403
Cancel terms that are in both the numerator and denominator
( 2 1 0 0 ) + ( 3 1 ) + ( 4 1/1 0 ) + ( 3 1/1 0 0 0 )
( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )
Solution
( 2 1 0 0 ) + ( 3 1 ) + ( 2 1/5 ) + ( 3 1/1 0 0 0 )
1/4(12)^2=
what is the answer?
Answer:
36
Step-by-step explanation:
I hope this helps! have a good day / night:)
Answer:
36
Step-by-step explanation:
1/4*12²
= 1/4*12*12
= 36
please help me what would the angle be subtracting them
Answer:
r=8
the angle measurement is 95.
Step-by-step explanation:
Well, those angles would be the same, so you set them equal to each other.
95=6r+47
then solve it.
6r=48
r=8
What is the perimeter of the composite figure?
85 cm
107.5 cm
119.5 cm
97 cm
Answer:
102.90
Step-by-step explanation:
i just did it
Answer:
107.5 cm is the correct answer
Step-by-step explanation:
An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes
Area of B patios a.74.42. B.37.21. C.144
Length of side of patio A = 12 yards
Area of patio A which is a square :
[tex] =\tt side \times side[/tex]
[tex] =\tt 12 \times 12[/tex]
[tex]\color{plum} = \tt144 \: {yards}^{2} [/tex]
Thus, Area of patio A = 144 yards²
Length of side of patio B = 6.1 yards
Area of patio B which is a square :
[tex] =\tt side \times side[/tex]
[tex] = \tt6.1 \times 6.1[/tex]
[tex]\color{plum} = \tt37.21 \: {yards}^{2} [/tex]
Length of side of the second patio B = 6.1 yards
Area of this patio :
[tex] =\tt 6.1 \times 6.1[/tex]
[tex]\color{plum} = \tt37.21 \: yards[/tex]
Total area of Patio B :
= Area of first patio B + Area of second patio B
[tex] =\tt 37.21 + 37.21[/tex]
[tex]\color{plum} = \tt74.42 \: {yards}^{2} [/tex]
Thus :
▪︎Area of patio A = 144 yards²
▪︎Area of patio B = 74.42 yards²
▪︎Therefore, the correct option is (a) 74.42
Y'all don't make fun of me or anything my brains not working but this is a real question a triangle is 3 sides and a square has 4 right or is the other way around?
Answer:
Lol, you're correct no worries!
Step-by-step explanation:
Yes a triangle has 3 sides and a square has 4 sides :)
Adriana y Luisa fueron a la feria y decidieron subirse a la rueda de la fortuna. Si el diámetro de la rueda es de 8 metros, ¿Qué recorrido hicieron dando una vuelta completa? Considera Pi= 3.14
Answer:
Translation?
Step-by-step explanation:
Help pls due today ty
Step-by-step explanation:
Function A
b= 2.5
5= 1.5m+ 2.5
1.5m= 2.5
m= 1.667
m= 5/3
y= 1.667 x+2.5
.........
Blank 1 : 1.667 or (5/3)
Blank 2: -4.5
rate of change can be positive or negative
Blank 3: Function B
write x^2+8x+3 in the form of (x+a)^2-b
Answer:
(x+4)²-3
Step-by-step explanation:
x x=x²
4 4 =8
then +3
but a plus and a minus makes a minus so it would be -3
Mike is recording his baby sister's weight in pounds and ounces each week. This week she weighs 10 pounds. How many ounces does she weigh?
Answer:
160 ounces
Step-by-step explanation:
In each pound, there are 16 ounces.
Therefore we can do 10*16=160
Answer: she weighs 160 ounces. just do 10x16
Use the grid below to name the point at (4,3)
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
In the point (4,3), the 4 is x and 3 is y. The x-axis is the bottom line so go up 4 and the vertical line is the y-axis so go right 3. The point where they meet is B.
Hope it helps!
Which sets of side lengths could from a triangle?
choose all that apply.
Answer:
E
Step-by-step explanation:
Answer:
d and e
Step-by-step explanation:
for them to be possible side lengths of a triangle the two shorter sides added together have to be greater than the longest side and an answer D and e 6 + 4 is greater than 9 and 5 + 5 is greater than 9 to so those are possible side lengths
64+66-43x33/89x34/09=
Answer: -4293764
Step-by-step explanation:
Answer:69,78
Step-by-step explanation: 43*33=1,419
1,419/89=15,94
15,94*34=541,96
541,96/09=60,22
64+66=130
130-60.22=69,78
A tissue box has a length of 11.7 inches,a width of 8.2,and a height of 5 inches. Which could be the approximate volume of the box
Answer:
Volume equals length x width x height
Step-by-step explanation:
If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min
Answer:
C)1 h 05 min
Step-by-step explanation:
If departure time of a train is 03 45 and arrival time is 04 50. What will be the journey time? * A)1 h 20 min B)1 h 10 min C)1 h 05 min
The journey time is calculated as:
Arrival time - Departure time
= 04:50 - 03:45
= 01:05
Therefore, the journey time = 1 hr 05 minutes
Option C is correct
8. Each box in a set of decorative storage boxes is a cube.
a) The sides of the smallest box are 30% of the length of the sides of the largest
box. The volume of the largest box is 7784 cubic inches more than the
volume of the smallest box. Define one or more variables, and write an
equation that represents the situation.
b) What are the lengths of the sides of the largest and smallest boxes?
c) Two of the other boxes have a total volume of 2457 cubic inches. The length
of the sides of the smaller of these boxes is 75% of those of the larger box.
Write and solve an equation to find the lengths of the sides of the boxes.
Answer:
20 in and 6 in12 in and 9 inStep-by-step explanation:
a) Let the side of the larger box be x, then the side of the smaller box is 0.3x.
Their volumes are:
x³ and (0.3x)³ = 0.027x³The difference in volumes:
x³ - 0.027x³ = 77840.973x³ = 7784x³ = 7784/0.973x³ = 8000x = ∛8000x = 20b) The sides are 20 in and 20*0.3 = 6 in
c) The other two boxes with sides x and 0.75x
Sum of the volumes:
x³ + (0.75x)³ = 2457x³ + 0.421875x³ = 24571.421875x³ = 2457x³ = 2457/1.421875x³ = 1728 x = ∛1728x = 12Sides of the boxes are 12 in and 12*0.75 = 9 in
There are 10 coins on a table heads side up. Noah wants them all to be tails side up, but with each move, he must turn over exactly
6 coins. What is the fewest moves he can take so that he ends up with all of the coins tails side up?
Answer:
2 moves
Step-by-step explanation:
Randy wanted to survey to determine the most preferred pet of the residents in his city.Which method of samplingBEST represents the most unbiased opinion?
Answer:
Survey 100 residents who have pets completely randomly
Step-by-step explanation:
The best sampling method would be to Survey 100 residents who have pets completely randomly. This would provide first-hand information from actual pet owners which would make the results valid. Also, by choosing the individuals to survey completely randomly it allows for the data to be unbiased and representative of the entire pet owner population in the city. This makes the data gathered completely unbiased and valid.