37.
An express train travelled at a certain average speed from Town X to Town Y which was
150 km away. It then continued its journey to Town Z at an average speed 20 km/h faster than
its initial average speed. Town Ywas 200 km from Town Z. If it took the same time to travel for
both parts of the journey, what was the train's average speed for the first part of the journey?
Answer:
60 km/hr
Step-by-step explanation:
Let the speed at the initial average speed from Town X to Town Y be a.
We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.
Town Y was 200 km from Town Z.
Thus, time spent here is;
t_2 = 200/(a + 20)
Time from X to Y is; t_1 = 150/a
We are told that it took the same time to travel for both parts of the journey.
Thus; t_1 = t_2
150/a = 200/(a + 20)
Cross multiply to get;
150(a + 20) = 200a
150a + 3000 = 200a
200a - 150a = 3000
50a = 3000
a = 3000/50
a = 60 km/hr
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
Marcus is building a fence around his rectangular backyard. The length of his backyard is
75
3/4
ft, and the width is
81
1/4
ft. If the fence is
3/4
finished, how much fencing is left to complete?
Answer:
4,923.75ft²
Step-by-step explanation:
The area of the backyard = Length * width \
Area of the backyard = 75 3/4 * 81 1/4
Area of the backyard = 303/4 * 325/4
Area of the backyard = 6,154.6875ft²
If 3/4 of the fence is finished, the area of the finished part is expressed as;
Finished part = 1/5 * 6,154.6875
Finished part = 1,230.9375ft²
Part left unfinished = 6,154.6875-1,230.9375
Part left unfinished = 4,923.75ft²
Answer:235.5
Step-by-step explanation:
75 3/4= 75.75 (L). 81 1/4= 81.25 (W)
Perimeter= 314 3/4 of 314 is 235.5
Which expressions are equal to 105?
Answer:
2•2²×100+5.
Step-by-step explanation:
what is the rate of change for the function y= 5x+ 25
Answer:
5
Step-by-step explanation:
rate of change = slope = 5
Someone help me find the roots that this function have in common please
Answer:
B
Step-by-step explanation:
convert 8x-10y=20 into slope intercept form
Answer:
y=⅘x-2
Step-by-step explanation:
8x-10y=20
-10y=-8x+20
y=⅘x-2
An 80% confidence interval is found to be (26, 38). What is the margin of
error?
A. 9.6
B. 12
C. 6
D. 4.8
Answer:
C : 6
Step-by-step explanation:
I kind of need help. I completely forgot how to do ratios
Answer:
7:5
Step-by-step explanation:
a:b=4:5
a:c=2:7
c:b=7:5
brainliest please!!!<3
Suppose (−7, 3) is reflected across the x-axis, and then the y-axis.
What will be the new coordinates?
the answer is (7,-3) ............
Answer:
(7, –3)
Step-by-step explanation:
did it on edgen
what is the ratio 5/7 to 2/7
Answer: What is the ratio of 7 to 2?
Students learn that a ratio is a comparison of two numbers or quantities. For example, if there are 2 shaded parts of a picture and 7 unshaded parts, the ratio of shaded parts to unshaded parts is 2 to 7. Note that the ratio 2 to 7 can also be written as 2:7 or 2/7
What is the ratio of 7 to 5?
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
Step-by-step explanation:
share 1200kg in the ratio 3:37
Answer:
3+37=40
3/40×1200=90kg
37÷40×1200=1110kg
Step-by-step explanation:
''.''
Answer:
[tex]3x+37x=40x\\40x=1200kg\\x=\frac{1200}{40} \\x=30kg\\[/tex]
[tex]3x=30kg*3=90kg\\37x=30kg*37=1110kg[/tex]
whats 43.6 rouded to the nest tenth
Answer:
43.6
Rounded to the nearest 0.1 or
the Tenths Place.
Can someone tell me what the slope is ?
Answer:
-5/4
Step-by-step explanation:
rise/run = -5/4
hope this helps <3
Answer:
-5/4
calculator lol (and rise over one)
It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.
Answer:
It would cost $ 34.5
Step-by-step explanation:
Given,
The cost of 3/4 lb of chopped walnut = $ 3.45,
So, the cost of 1 lb of chopped walnut = 4/3*3.45
=4*1.15
= $ 4.6,
Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut
= 7.5 × 4.6
= $ 34.5
Help please thank you !
Answer:
3
Step-by-step explanation:
2/36=x/54
Cross multiply and find x
Answer:
it is 3 cups!
Step-by-step explanation:
36+18=54
2 cups were used for 36, 3 cups were used for 54 :)
Question is in picture
Answer:
[tex] \frac{y - 3}{x - 0} = \frac{3 - 1}{0 - 1} = \frac{2}{ - 1} \\ \frac{y - 3}{x} = - 2 \\ y - 3 = - 2x\\ 2x + y - 3 = 0 \\y = - 2x + 3 \\ \boxed{f(x) = - 2x + 3}[/tex]
B. is the right answer.hope this helps.
I need this answer ASAP
Answer:
i think the area is 60 i added it up
What is the origin of algebraic expresions plz
Write the coordinates of each image. Use the graph to help you out.
What does 8×9 equals?
1. 72
2.85
3.34
4.56
Answer:
8x9=72
Step-by-step explanation:
I hope that this helps u out..there is not really any explanation
Answer:
72
Step-by-step explanation:
8 Times Table
8 × 1 = 8
8 × 2 = 16
8 × 3 = 24
8 × 4 = 32
8 × 5 = 40
8 × 6 = 48
8 × 7 = 56
8 × 8 = 64
8 × 9 = 72
8 × 10 = 80
8 × 11 = 88
8 × 12 = 96
first come first serve
1+1 equals what
you will get 40 points
Answer: 1+1 = 2 :)
Step-by-step explanation:
Answer:
1+1=2
this is a very simple question
A number, rounded to 1 significant figure, is equal to 300.
Write down the lower and upper bounds of the number.
Answer:
lower bound is 299.5, upper bound is 300.5
Step-by-step explanation:
A rectangle has a height of 5 and a width of 4x^2-2x-6
What are the solutions to 7x^2 + 10x -3 = x^2 + 3x?
Answer:
x=(1)/(3),-(3)/(2)
Step-by-step explanation:
Answer:
(- 3/2, 1/3)
Step-by-step explanation:
7x^2+10x-3=x^2+3x
7x^2+10x-3-x^2-3x=0
6x^2+7x-3=0
6x^2+9x-2x-3=0
3x x (2x+3)-(2x+3)=0
(2x+3)x(3x-1)=0
2x+3=0
3x-1=0
x1=- 3/2
x2= 1/3
I need help please! Thank you
Answer:
2/5
Step-by-step explanation:
First, we substract the y variables.
y - 2 - y - 3 = 1
2(1) = 2
Then we subtract the bottom numbers.
5-2 = 3
The answer is 2/5
Answer:
y = 4
Step-by-step explanation:
Solve: a + 4 = 48
a = 43
a = 51
a = 44
a = 52
Answer:
a = 44 is correct
Step-by-step explanation:
a + 4 = 48
plug in the #'s 1 at a time
43 + 4 = 48
47 = 48 FALSE
51 + 4 = 48
55 = 48 FALSE
44 + 4 = 48 TRUE
52 + 4 = 48 FALSE
Hope this Helps!!!
Answer:
Your answer would be a= 44
Step-by-step explanation:
44+4=48
To check: 48-4=44
Therefore, your answer is 44
A hiker stands on a small hill and tosses a stone. The stone then follows a path with height h above the ground at time t. The function
h(t) = - 16t2 + 16x + 32 models the stone's path. How long does it take the stone to reach its maximum height?
Answer:
At time t=0.5, the stone reaches a maximum height of h= 35.
Step-by-step explanation:
A quadratic function or function of the second degree is a polynomial function defined by:
f(x)=a*x² + b*x +c
The maximums and minimums of a function are the largest (maximum) or smallest (minimum) values of a function.
The vertex of the function is a point that is part of the parabola or quadratic function that coincides with the maximum or minimum. When a> 0, the vertex of the parabola is at the bottom of it, being a minimum (that is, the parabola opens "upward"), and when a <0 the vertex is at the top , being a maximum (that is, the parable opens "downward").
h represents the value of its abscissa (value of x).
k represents the value of its ordinate (value of f (x)).
The value of h can be calculated with the formula [tex]h=-\frac{b}{2*a}[/tex]
The value of k must be obtained by substituting the value of h in the function f(x)=a*x² + b*x +c
In this case: a=-16, b=16 and c=32. As a <0 the vertex is at the top , being a maximum. So:
[tex]h=-\frac{16}{2*(-16)}=0.5[/tex]
Substituting the value of h in the function f(x)=-16*x² + 16*x +32 you get:
f(0.5)=-16*0.5² + 16*0.5 +32
f(0.5)= 35
At time t=0.5, the stone reaches a maximum height of h= 35.
Carlotta has a blue sweater, a red sweater, a pink sweater, and a white sweater. She also has a pair of black pants
and a pair of brown pants. Which of the following shows how many different ways she can wear a sweater and pair of
pants together?
!!!!!!WILL MARK BRAINLIEST!!!!!!
Answer:
The answer is D.
Step-by-step explanation:
Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?
Answer:
I think it's 18z slices, please tell me if i'm wrong!
Step-by-step explanation:
6*3 = 18
18*z = 18z
I think it's 18z slices, please tell me if i'm wrong!
