Final answer:
The time it takes for two trains traveling towards each other at speeds of 80 mph and 100 mph, and starting 252 miles apart, is found by dividing the distance by their combined relative speed. It takes them 1.4 hours or 1 hour and 24 minutes to meet.
Explanation:
To solve the problem of calculating the time it takes for two trains to meet, we need to understand the concept of relative speed in motion problems. When two objects move towards each other, their relative speed is the sum of their individual speeds. In this case, one train travels at 80 miles per hour and the other at 100 miles per hour, giving us a combined relative speed of 80 mph + 100 mph = 180 mph.
The distance between the two trains is 252 miles, and to find the time taken for the trains to meet, we divide the total distance by the relative speed:
Time = Distance / Relative Speed
Time = 252 miles / 180 mph
Time = 1.4 hours or 1 hour and 24 minutes for the two trains to meet.
Which statement best describes the relationship between the number of cookies eaten and the number of calories consumed?
No relationship can be determined.
As the number of cookies eaten increases, the calories consumed decreases.
As the number of cookies eaten increases, the calories consumed increases.
As the number of cookies eaten decreases, the calories consumed increases.
Answer:
As the number of cookies eaten increases, the calories consumed increases.
Step-by-step explanation:
As we can see in the graphic with more cookies we have more calories. Because for 1 cookie we have 50 calories and for 5 cookies we have 200 calories.
Then as the number of cookies increases, the calories consumed increases.
You fly in a helicopter for 20 minutes that goes at a speed of two 40 km/h how far did you go
The modified expression, x3(2x + 5) – 4(2x + 5), has two terms with a common factor
Find two numbers that have 2,3 and 5 as factors. What other factors do the two numbers have in common?
Two numbers are 30 and 60 that have 2,3 and 5 as factors.
What is LCM ?LCM is the least common multiple of two or more that two given numbers which is exactly divisible by these given numbers.
According to the given question we have to find two numbers that have 2, 3 and 5 as common factors.
To find least such number which have common factor of 2, 3 and 5 we have to take LCM of 2, 3 and 5.
The LCM of 2, 3 and 5 is 30.
The next such possible higher numbers will be of the form 30k, where k is an integer.
At k = 2,
The number 30k will be 30(2) which is
= 60.
We can find any such form of numbers by putting different integer value of k.
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What is the value of the expression 2 + 32 ⋅ (4 − 1)?
Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings. Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is
Answer:
{174,000, 134,000, 420,000, 452,000, 474,000}
You run 6 miles in 1 hour. At this rate how long will it take you to run a marathon of 26 miles?
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
I have to find the unit rate of change. Can somebody plz explain to me how to do it. I have an idea but I don't remember exactly how.
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. Find her earnings during a week in which sales totaled $3000.
Final answer:
To calculate Nicole Tobin's earnings for a week in which her sales totaled $3000, we first determine the total sales eligible for commission and then calculate 15% commission on that amount. Adding the resulting commission to her weekly salary of $250 gives us Nicole's total earnings for the week, which are $475.
Explanation:
Nicole Tobin receives a salary of $250 per week plus a commission of 15% on all sales over $1500. To calculate her earnings during a week in which her sales totaled $3000, we need to find out the commission on the sales exceeding $1500 and then add it to her weekly salary.
First, we calculate the amount eligible for commission:
Sales = $3000
Threshold for commission = $1500
Eligible amount for commission = Total sales - Threshold for commission = $3000 - $1500 = $1500
Next, we calculate the commission:
Commission rate = 15%
Commission = Eligible amount for commission × Commission rate = $1500 × 0.15 = $225
Finally, we find Nicole's total earnings:
Weekly salary = $250
Total earnings = Weekly salary + Commission = $250 + $225 = $475
Nicole's earnings for the week are $475.
-5/4x -5= -35 solve for x
The ratio between the number of cats (c) and the number of dogs (d) in the shelter is 3. There are 27 cats in the shelter. How many dogs are in the shelter?
the length of a rectangle is 24 units. can the perimeter x of the rectangle be 60 units when its width y is 11 units
24 +24 = 48
11 + 11 = 22
48 +22 = 70
the perimeter cannot be 60 with dimensions of 24 & 11
What is 10 times 7 thousands
Which statement is false? A.The all them of a regular polygon is perpendicular to the side. B.the radius of a regular polygon is always greater than the all them. C.the perimeter of a regular hexagon is 6r. D.the perimeter of a regular n-gob is the area divided by the all them.
answer correctly for brainliest
What is the value of z in the equation 5z − 9 = 36? 4 5 6 9
For which of the following is x=-5 a solution? Select all that apply. A) x+10=-5 B) -x^2+50=25 C) l2xl =10 D) x<0 E) 2x<10
Let's check each of the cases to determine the solution of the problem
case A) we have
[tex]x+10=-5[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex](-5)+10=-5[/tex]
[tex]5=-5[/tex] ------> the equation is not true
therefore
The value of [tex]x=-5[/tex] is not a solution of the equation
case B) we have
[tex]-x^{2} +50=25[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex]-(-5)^{2} +50=25[/tex]
[tex]-(25) +50=25[/tex]
[tex]25=25[/tex] ------> the equation is true
therefore
The value of [tex]x=-5[/tex] is a solution of the equation [tex]-x^{2} +50=25[/tex]
case C) we have
[tex]\left|2x\right|=10[/tex]
Substitute the value of [tex]x=-5[/tex] in the equation
[tex]\left|2(-5)\right|=10[/tex]
[tex]\left|-10\right|=10[/tex]
[tex]10=10[/tex] -----> the equation is true
therefore
The value of [tex]x=-5[/tex] is a solution of the equation [tex]\left|2x\right|=10[/tex]
case D) we have
[tex]x < 0[/tex]
Substitute the value of [tex]x=-5[/tex] in the inequality
[tex]-5 < 0[/tex] --------> the inequality is true
therefore
The value of [tex]x=-5[/tex] is a solution of the inequality [tex]x < 0[/tex]
case E) we have
[tex]2x <10[/tex]
Substitute the value of [tex]x=-5[/tex] in the inequality
[tex]2*(-5) < 10[/tex]
[tex]-10 < 10[/tex] --------> the inequality is true
therefore
The value of [tex]x=-5[/tex] is a solution of the inequality [tex]2x <10[/tex]
the answer is
[tex]-x^{2} +50=25[/tex]
[tex]\left|2x\right|=10[/tex]
[tex]x < 0[/tex]
[tex]2x <10[/tex]
Answer:
Step-by-step explanation:
Solve the following proportion for v. v/8=13/11 Round your answer to the nearest tenth.
To solve the proportion v/8 = 13/11, cross-multiply and solve for v. The value of v is approximately 9.5.
Explanation:To solve the proportion v/8 = 13/11, we can cross-multiply and solve for v. Cross-multiplying gives us v * 11 = 8 * 13. Simplifying, we have 11v = 104. Dividing both sides by 11, we find that v = 104/11. Rounding to the nearest tenth, v ~ 9.5.
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if a four sided figure has four right angles, then it has four congruent sides. Prove it wrong.
four times the square of a non-zero number is equal to twelve times the number.
3 is the number whose four times the square is equal to twelve times 3.
What is equation?An equation is a relationship between two or more variables expressed in equal to sign. It is solved to find the value of variables. Equation of two variables will look like ax+ by=c.
How to find number?Let the required number be x.
According to question we have to form an equation which will be:
4[tex]x^{2}[/tex]=12x
[tex]4x^{2} -12x=0[/tex]
4x(x-3)=0
4x=0, x-3=0
x=0, x=3
Non negative number=3
Hence 3 is the number whose 4 times square is equal to 12*3.
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The best length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
What is the value of the expression All of 4.8 multiplied by 10 to the power 9 over all of 1.6 multiplied by 10 to the power 3
a carpet measures 7 ft long and has a diagonal measurment of 8.60 ft . How do i solve to find the width of the carpet?
Add 3 7/12 +2 7/9. Simplify the answer and write as a mixed number.
3 7/12 = 43/12
2 7/9 = 25/9
both denominators must be the same to add together.
(25/9)x 12
(43/12) x 9
300/108 + 387/108 =
687/108
which in its simplest form is 229/36
and in a mixed number is 6 13/36
Can u help idk how to write it ?
What is the área of a circule with a radious of 3 meters use 3.14
How to write x2+y2+2x-12y-9 in Standard form
Use long division to convert -45/8 to a decimal.
A. -5.625
B. -6.252
C. 5.625
D. 6.252
What is the sum of 4.2•10^5 and 5.3• 10^5