A group of tourists travels 4 hours by car and 7 hours by train. In this time, they go a total of 640 km. What is the speed of the train, if it is 5 km greater than the speed of
the car?
The speed of the train is given by T = 60 km/hr
What is Speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude
Speed = Distance / Time
Given data ,
Let's call the speed of the car "x" (in km/h).
And the speed of the train is "x+5" (also in km/h).
We can use the formula:
distance = speed x time
To write two equations, one for the distance traveled by the car and one for the distance traveled by the train:
The distance traveled by car C = x × 4
The distance traveled by train T = (x+5) × 7
We know that the total distance traveled is 640 km, so we can write:
x × 4 + (x+5) × 7 = 640
Expanding the brackets and simplifying, we get:
4x + 7x + 35 = 640
11x = 605
x = 55
So the speed of the car is 55 km/h. Using this, we can find the speed of the train:
The speed of train T = speed of car C + 5
The speed of train = 55 + 5
The speed of train = 60 km/h
Hence , the speed of the train is 60 km/hr
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The volume of the oblique prism is __ mm3. Assume the bases are a rectangular. Hint: Use Cavalieri’s Principle.
I need some help, please and thank you. :).
Answer:
right top one
Step-by-step explanation: just separate the formula
The data set shows the number of cats owned by the members of Taylor's basketball team.
2,0, 1, 2, 4, 1,4,0,3,2
The value that could best measure the center of this data is
Answer:
Mean
Step-by-step explanation:
2,0, 1, 2, 4, 1,4,0,3,2
in ascending order we have
0 0 1 1 2 2 2 3 4 4
There are no outliers here so I would say the mean.
Actual mean = 1.9
1) What are the domain and range of f(x)=-*+7?
Answer:
not clear but it should be 0 because it doesnt make sense
Step-by-step explanation:
pls help me I need the answer with how u did it pls
Answer:
∠1, ∠3, ∠5 and ∠7 = 126°
∠2, ∠4, ∠6 and ∠8 = 54°
Step-by-step explanation:
∠3 + ∠4 = 180°
If ∠3 = 126°, ∠4 = 54°
The same applies for ∠1 and ∠2, ∠5 and ∠6, ∠7 and ∠8 respectively.
Therefore,
∠1 = 126°,
∠3 = 126°,
∠5 = 126°, and
∠7 = 126°
∠2 = 54°,
∠4 = 54°,
∠6 = 54°, and
∠8 = 54°
The mass of substances left in a sample
after the liquid is evaporated is called
the total dissolved solids. Kim split up
2 liters of water into three different
samples and boiled all the liquid away
in each. The masses of solids left in the
three samples were 2.025 grams, 457 mg
and 589 mg. Using the table at the right
how should Kim classify the water?
This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.
Why should Kim classify the water as gaseous?Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.
Matter can exist in various states. They are:
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Mrs. Williamson is projecting a slide on the wall. The image on the slide is 1.25 inches by 1.5 inches. The image projected on the wall is 20 inches by 24 inches. What is the scale factor of the dilation?
Answer:
Scale factor is 1:16
Step-by-step explanation:
1.25 x 16 = 20
1.5 x 16 = 24
The image on the wall is 16 times bigger than the image on the slide,
that is why the ratio is 1:16
A , B , C , D ??????????????????????
Answer:
a
Step-by-step explanation:
if this is wrong im sorry
24 1/2 feet by 12 4/5 feet=?
Please help! Will mark brainlyest.
Answer:
I think c
Step-by-step explanation:
Help Asap!!!! No Links!
Answer: 18
Step-by-step explanation:
Start by evaluating in the parenthesis
First simplify the exponents
[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]
Now simplify in the parenthesis
[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]
Now multiply
[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]
What is the perimeter of the figure?
15 cm
9 cm
centimeters
Answer:
48
Step-by-step explanation:
you just multiply both numbers by two and then add
6. Nobu was a part of a cookie eating contest. The company hosting the event made 805 cookies. In the first 15 minutes, the contestants ate 388 cookies. | How many cookies are left at this Songs i point? At this rate, about how long it will take the contestants : to eat all of the cookies?
At that point, there would be 417 cookies left. At that rate it would take about 31 minutes.
What are the steps you would have to do to make the original triangle into the new triangle?
Answer:
I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.
Step-by-step explanation:
Graph:
Check y intercept and the differences in both values.
Regular triangle:
Imagine te steps being taken or revers the original steps.
Use the bar graph to find the relative frequency of the event.
Answer: Its 7 Hope im Right!
Step-by-step explanation:
Answer:
the answer for this question is 7
Step-by-step explanation:
do the math
Which fraction is between 0.8 and 0.82?
Maya has 28 apples, 12 oranges, and 8 mangos. She wants to put an equal number of each kind of fruit into baskets so all the baskets will be the same. How many of each kind of fruit CAN MAYA FIND IN EACH BASKET
A. 4
B. 1, 2 or 4
C. 1 or 4
D. 1, 3, 4, 6, or 8
Answer:
4
Step-by-step explanation:
We need to find the greatest common factor aka (GCF)
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 8: 1, 2, 4, 8
The factor that they all have is 4 so 4 is our answer :)
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Which is the better buy?
A. 8 oz for $2.88
B. 10 oz for $4.19
C. 6 oz for $1.98
D. 5 oz for $2.75
Group of answer choices
D
B
A
C
Answer:
C
Step-by-step explanation:
It's more profitable to buy the 6 oz for 1.98 due to the price range and how much you can get with just one purchase of 1.98. Instead of 10 oz for 4.19 or anything else you can double or even triple the amount by buying just the 6 oz more than 1 at a time :)
What is the simplest form of [tex]\sqrt[3]{7} -\sqrt[5]{7}[/tex]
f(x)=-2x^2-10x
Find (-5)
Answer:
Hi! this is the answerThe length of the third side is a-2. :))))))))
Step-by-step explanation:
3. Write an equation to represent the situation:
A taxi ride costs $6.50 total. The fare was
charged at $1.25 per mile., How many miles did the
taxi travel?
Answer:
Equation would be 1.25m = 6.50.
The taxi traveld 5.2 miles.
Step-by-step explanation:
So we know that they charge 1.25 per mile but we dont know how many miles they traveld.
Our total cost was 6.50. This is imediatly enough information to help build an equation.
Since the amount of the miles travels is unkown, we leave it as "m" but we know it cost 1.25 per mile therfore it makes it 1.25m
Next we do, 1.25m = 6.50 since 6.50 was our total cost.
Now, we solve it! We solve it by simply dividing 1.25 on both sides:
[tex]\frac{1.25m}{1.25}[/tex] = [tex]\frac{6.50}{1.25}[/tex]
When we divide 1.25 by 1.25 we get 1 which leaves it at 0. When we divide 6.50 by 1.25 we get 5.2.
m = 5.2
miles = 5.2
4.) Which is a statistical question?
(a) How many weeks are in November?
(b) How many students are on the roster for Morehouse Homeroom?
(c) How tall is Reggie?
(d) How many minutes do students wait in line to go home after school?
Answer:
How many students are on the roster for Morehouse Homeroom?
Jeffrey’s recipe for oatmeal muffins calls for 2 1/2 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he uses.
Which answer is correct?
Answer:
D and B
Step-by-step explanation:
Because D is saying the negative number is less than, we know it is true.
Because B states that -7.1 is more, it is correct. -7.1 is closer to zero than -7.8, making it a larger number.
Answer:
B. -7.1 > -7.8
D. -6[tex]\frac{3}{5}[/tex] < 6[tex]\frac{2}{5}[/tex]
both B. and D. are correct!
If the area of a circle measures 16cm2 what is the circumference
Answer:
14.18 cm
Step-by-step explanation:
Area = pi r^2
sqrt ( area/pi) = r
diameter is 2 x r and circumference is pi * d
circumference pi * 2 * ( sqrt area/pi) = 14.18 cm
If the volume of a prism is 30m3 and it’s height is 5m what is the area of the base
Answer:
6[tex]m^{2}[/tex]
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism,
B = 1/2 h(b1+b2) since B is the area of the base
[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula
which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base
I need Help ASAP !!!!!!!!!!!!!
Answer:if I’m not mistaken I think it’s -4 I did this assignment too just look around to see I’m not 100% sure
Step-by-step explanation:
Two-step
Find the solution set of the inequality
14 - 3x < -1.
Answer:
x > 5 should be your solution to the inequality.
Step-by-step explanation:
Your inequality: 14 - 3x < -1
You need to do two-step inequalities which are similar to two-step equations but different since you're using an inequality symbol as opposed to an equal sign.
Steps:
14 - 3x < -1
Subtract 14 from both sides
-3x < -1-14
Solve -1-14
That should be -15
-3x < -15
**You have to switch the inequality due to multiplying negatives rule.
While dealing with inequalities, when multiplying negatives the inequality sign should switch to its opposite.
-3x > -15
x > 5
5 is lesser than x
hope it really helps...!!!
can you help with this please?