Answer:
60
Step-by-step explanation:
60
The average speed of the train was 80mph.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Here, Given that, Station A and Station B are 120 miles apart.
And, a train traveling from station A to station B travels exactly 1/3 of the distance when it is held up and stops for 16 minutes.
Let, its average speed was x mph.
Then, Total time if didn't stop = 120/x h
Now, before stop it took time =( 1/3×120)/x h =40/x h
After stop it took time = 80/(x+15) h
i.e. 40/x +16/60+ 80/(x+15) = 120/x
⇒80/(x+15)+8/30= 80/x
⇒80(1/x-1/(x+15))=8/30
⇒10×(15/x^2+15x)=1/30
⇒x^2+15x=10×15×30
⇒x^2+15x-450=0
⇒x^2+75x-60x-450=0
⇒(x+75)(x-60)=0
⇒x=60 or, x= -75
Hence. the required speed was 60mph.
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Which number line shows all the values of that make the inequality -3 +1 < 7 true?
Answer:
Number line D is true
Step-by-step explanation:
Given
[tex]-3x + 1 < 7[/tex]
See attachment for number lines
Required
Which number line makes the inequality true
First, we solve for x in [tex]-3x + 1 < 7[/tex]
[tex]-3x < 7 - 1[/tex]
[tex]-3x < 6[/tex]
Divide through by -3
[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]
[tex]x > -2[/tex]
The inequality means x is greater than -2.
This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened
Number line D is true
Murray’s father deposited $6,000 of his savings into two accounts. One account earns 1.5 percent interest, and the other account earns 2.5 percent interest. At the end the year, the interest in the account that earned 2.5 percent was $110.00 more than the other account. Which system represents the amounts of money, x and y, that was put into each account?
x + y = 6,000. 0.025 x + 0.015 y = 110.
x + y = 6,000. 0.25 x + 0.15 y = 110.
x + y = 6,000. 0.025 x minus 0.015 y = 110.
x + y = 6,000. 2.5 x minus 1.5 y = 110.
Answer:
6000
Step-by-step explanation:
Answer:x+y = 6,000
0.025x-0.015y
Step-by-step explanation: did it on edge
8 students in Mr. Webb's class got an A on the exit ticket. There are 25
students in his class total. What percent of students got an A?*
Answer:
32%
Step-by-step explanation:
To find the percentage, we have to multiply 25 and 8 by 4.
25x4 = 100
8x4 = 32
So, 8 out of 25 is 32%.
help please !!! it's 6th grade math
Answer:
$150
Step-by-step explanation:
$30 x 3 = 90
$20 x 3 = 60
90 + 60 = $150
hope this helps! (:
The function y=-16x^2+16x+32 represents the height in feet of a firework x seconds after it is launched
Answer:
36feet
Step-by-step explanation:
Since we are not asked what to find, we can as well find the maximum height reached by the rocket
At max height, velocity is zero
V = dy/dx = 0
dy/dx = -32x + 16
0 = -32x+16
32x = 16
x = 16/32
x = 0.5s
Get the maximum height
y = -16(0.5)^2+16(0.5) + 32
y = -4+8+32
y = 36feet
Hence the max height reached by the rocket is 36feet
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If and , what is ? Write your answer in simplest form. When and , .
The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportion that could be used to find out how many boys are in the High School. All algebraic steps must be shown for full credit. and steps algebraically.
Answer:
1476 boys
Step-by-step explanation:
We are going to use ratio here:
6/7=x/1,722
so then we simplify
(1,722*6)/7 =
1476 boys
A population numbers 15,500 and grows at 3.75% per year. Write an exponential model for the growth of this population.
Answer: [tex]f(x)=15500(1.0375)^x[/tex]
Step-by-step explanation:
The exponential model for growth is given by :-
[tex]f(x)=A(1+r)^x[/tex], where A = initial value , r = growth rate (in decimal), x = time (in years).
Given: A= 15,500 r= 3.75% = 0.0375
The exponential model for the growth of this population will be :
[tex]f(x)=15500(1+0.0375)^x\\\\\Rightarrow\ f(x)=15500(1.0375)^x[/tex]
hence, the required model: [tex]f(x)=15500(1.0375)^x[/tex]
Plzz write with formula and explanation plzzzzzzzz answer fast
Answer:
Rs 19 1/8
Step-by-step explanation:
Fromm the above question, we are told that:
The cost of 2/3 meters of rope = Rs 12 3/4
We are asked to calculate the cost per meter of rope.
Hence:
2/3 meters of rope = Rs 12 3/4
1 meter of rope = Rs x
Cross Multiply
2/3x = 1 × 12 3/4
x = 12 3/4 ÷ 2/3
x = 51/4 ÷ 2/3
x = 51/4 × 3/2
x = 153/8
x = Rs 19 1/8
Therefore, the Cost per meter of rope = Rs 19 1/8
What is The midpoint of AB?
Answer:
(-2,0)
Step-by-step explanation:
(-2,0) is the midpoint I believe!
Hope that helps!
the mid point of AB is 1 and -1
Which pair of fractions is not equivalent fractions?
A.1/9,2/18
B.7/8,5/6
C.3/16,9/48
D.6/15,4/10
HELP! THIS IS DUE IN LESS THAN 20 MINUTES! PLEASE!!! I'M ALREADY BEHIND AND THIS WILL SET ME BACK EVEN MORE!!!
Answer: For 7 this is how to graph it
Help please I have to submit it pretty soon.
does anyone know the answer to 5(2t+3)=75 that can tell me how to find the answer not just the answer
Answer: Let me know if this helps.
Step-by-step explanation:
5(2t+3)=75 Distribute the 5 using multiplication. 5x2t and 5x3
10t+15=75 Subtract 15 because you need to get the t by itself.
10t = 60 Now divide by 10 to get t by itself. 10/10 and 60/10.
t = 6 Answer.
Answer:
t=6
Step-by-step explanation:
It's all about get t on one side of the equation, and so everything else on the other side of the equation.
The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):
(5(2t+3))/5=75/5
2t+3=15
The next thing we can get rid of is the 3. Subtract 3 from both sides:
2t+3-3=15-3
2t=12
Now, we get rid of the 2. Divide both sides by 2:
2t/2=12/2
t=6
please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The solution is -3.
The graph is attached.
Step-by-step explanation:
To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].
The graph representing this is attached.
Hope it helps and is correct!
Can someone help me.
Answer:
A.5,683.0000
B. 1,289,293.0000
C.3,567,920.0000
Step-by-step explanation:
What is the equation for a line that passes through the points (-4,-3) and (8,12)?
Answer:
y = 1.25x + 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
( -4 , -3 ) ( 8 , 12 )
12 + 3 15 = 5
8 + 4 12 = 4
↑ slope = 5/4
↓ point slope form: y - y₁ = m ( x - x₁ )
y + 3 = 5/4 ( x + 4 )
y + 3 = 5/4x + 5
-3
y = 5/4x + 2
Ava pours 3 gallons of paint equally into 5 cans. How many gallons of paint will there be in each can?
Answer:
0.6
Step-by-step explanation:
first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6
Complete the following proofs.
Given: Points R, S, T, Q on circle O
Prove: m Arc RS + m Arc ST + m Arc TQ = m Arc RQ
Answer:
Points R, S, T, Q on circle O is given
and points are central arc
Step-by-step explanation:
Steve studies math for 7/8 of an hour and history for 2/3 of an hour. How many hours did he study?
Answer:
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
Step-by-step explanation:
Find a common multiple of the denominators 3 and 8, which would be 24. Convert the fractions:
7/8 x 3/3 = 21/24.
2/3 x 8/8 = 16/24
Add the two numerators = 37/24 or 1 13/24.
1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.
The answer is 1 13/24 hours or 1 hour, 32.5 minutes
Question 1
Write an equation of the line parallel to y = –3x + 8 through (1, –4).
Question 2
Write an equation of the line perpendicular to y =1/3x – 5 through (–6, 2).
How would you solve this question?
Answer:
K
Step-by-step explanation:
techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477
65/100 as a dollar amount
Answer:
The answer is $0.65, or 65 cents.
Answer:
$.65
Step-by-step explanation:
so 65 cents
What is the equation for p?
find a ⋅ b
a = 7i - 4j, b = 4i + 3j
Answer:
28i^2 + 5ij - 12j^2
Step-by-step explanation:
(7i-4j)(4i+3j)
7i times 4i is 28i^2
7i times 3j is 21ij
-4j times 4i is -16ij
-4j times 3j is -12j^2
In equation it looks like this:
28i^2+21ij-16ij-12j^2
Simplify 21ij and -16ij
21ij-16ij is 5ij
So the answer is:
28i^2 + 5ij - 12j^2
Hope this helps!
Answer:
The answer is 16
Step-by-step explanation:
i need help with this anyone pleaseee
Answer:
41 dollars
Step-by-step explanation:
3r+2.5p is the cost of roses and petunias, just number of roses as r and petunias as p:
3(7) + 2.5(8)=
21+20=41 dollars
What is the solution to the equation 1/3 n =6
Answer:
n=18
Step-by-step explanation:
Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?
Answer:
5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified
Step-by-step explanation:
Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
Step-by-step explanation:
again option D x = 10, y= 3
is the correct answer of this question.
plz mark my answer as brainlist.if you find it useful.
hope this will be helpful to you.
Answer:
x = 10
y = 7
Step-by-step explanation:
4x-2 = x+28
4x-x = 28+2
3x = 30
x = 30÷3
x = 10
4y-7 = y+14
4y-y = 14+7
3y = 21
y = 21÷3
y = 7
definición de variable independiente y variable dependiente
Answer:
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