Given:
Distance between to cities = 500 mi
Two cars left simultaneously moving towards each other.
The speed of one car was 10 mph greater than the speed of the other car.
They meet in 5 hours.
To find:
The speed of each car.
Solution:
Let x mi/h be the speed of one car.
So, speed of second car = (x + 10) mi/h
Two cars left simultaneously moving towards each other.
So, their relative speed = x + (x+10) = (2x+10) mi/h
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the values, we get
[tex]2x+10=\dfrac{500}{5}[/tex]
[tex]2x+10=100[/tex]
[tex]2x=100-10[/tex]
[tex]2x=90[/tex]
Divide both sides by 2.
[tex]x=\dfrac{90}{2}[/tex]
[tex]x=45[/tex]
Now,
Speed of one car = 45 mi/h
Speed of other car = 45+10
= 55 mi/h
Therefore, the speeds of two cars are 45 mi/h and 55 mi/hr.
What is the average rate of change of f over the interval -7 < or equal to x
Give an exact number
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change can be found by using the following formula
[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]
Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!
[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]
Good luck!
What factor would you need to multiply(3x – 1) by to get922 - 12
ОА 3
B.
2
3x + 1
0
32 - 1
Answer:
32 - 1
Step-by-step explanation:
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
An 8-ounce bottle of lotion costs $4.50. Find the Unit Rate. hint: What is the cost per ounce?
Answer:
approximately 56 cents
Step-by-step explanation:
4.5/8
find slope and y-intercept formed the graph if the linear equation
y=1/4x-8
Answer:
not sure exactly what its asking but if its asking the slope and y-intercept of this equation is here.
Step-by-step explanation:
the slope is 1/4 while the y-intercept is -8 or (0,-8)
Answer: slope: 1/4
y-intercept: (0,-8)
Hope this helps and good luck :)
Step-by-step explanation:
solve for X !
answer quickly please
help asap!!! it’s due in 20 minutes .
Answer:
ab
Step-by-step explanation:
What is the first step in solving for z in the equation 5z - 4 = 26
O Add 4 to both sides of the equation.
O Subtract 4 from both sides of the equation.
O Multiply both sides of the equation times 5.
O Divide both sides of the equation by 5.
Answer:C
Step-by-step explanation:because we went over this in class
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?
Answer:
12%
Step-by-step explanation:
So 5.5 to 5.62 is .12
Then calculate the difference of 5.5 *.12=0.66
Then do “0.66 is what percent of 5.5?”
The answer is 12%
Thank you for reading, and mark this brainliest
a line passes through the point (-1,5) and the point (3,5), what is the equation of the line?
Answer:
8
Step-by-step explanation:
took the test
have a nice day
mark brainlist plzzzzz
Which system of inequalities describes the graph?
Answer:
It Would be C (the third one)
Step-by-step explanation:
Please mark me Brainlyest PLZ
Please help me!!!!!! I really neeeeeeed
Answer:
A-(x+4,y-5)
B- move 1 unit left and 7 units down
Step-by-step explanation:
A- 4 units right is x so
(x+4,y__)
5 units down is y so
(x+4,y-5)
B- move 1 unit left and 7 units down
because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.
TIP- Going left/down is always subtract/negative going right/up is positive/addition.i only need A. please help asap
Answer:
B
Step-by-step explanation:
The answer is B because it has the slope and its on the rise and run.
Hope this help:)
PLss maark brainlist
Answer:
the answer is b
Step-by-step explanation:
the answer is b
Which table does not show y as a function of x please show explation
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year.
Complete question :
Lilian purchased a violin form smash music stores. It regularly sold for $670, but wa son slaw for 10% off. She also had to pay 8% sales tax. She bought it on the installment plan and paid 15% of the total cost with tax as a down payment. Her payments were $58 per month for one year. What is her sales tax?
Answer:
$48.24
Step-by-step explanation:
Given that:
Sales price = 670
Discount = 10% off
Sales tax = 8%
Discounted price = (1 - 0.1) * 670
Discounted price = 0.9 * 670 = $603
Hence, purchase price = $603
Hence, sales tax = 8% of purchase price
8% of $603
0.08 * 603 = $48.24
Spencer bought gas for his four-wheeler from Gas World on Saturday. On Sunday, he bought the same amount of gas from Fuel Stop for less money. Now, Spencer has $20 to spend on gas for his car. Fuel Stop is on his way home. If the gas prices haven't changed, will Spencer be able to get more or less gas at Fuel Stop than at Gas World?
Answer:
Step-by-step explanation:
spencer bought the same amount of gas from gas world and fuel stop. since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world.
spencer has $20 to spend on gas for his car at fuel stop.
since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
hope this helped
If the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
What is Number system?A number system is defined as a system of writing to express numbers.
Given,
Spencer bought gas for his four-wheeler from Gas World on Saturday
He bought the same amount of gas from Fuel Stop for less money on Sunday
Now, Spencer has $20 to spend on gas for his car.
since the gas cost less money at fuel stop, the gas is cheaper at fuel stop at gas world. spencer has $20 to spend on gas for his car at fuel stop. since the gas is cheaper at fuel stop, spencer will get MORE gas from fuel stop with his money.
Hence if the gas prices haven't changed, will Spencer be able to get more gas at Fuel Stop than at Gas World
To learn more on Number system click:
https://brainly.com/question/22046046
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There are 12 circles and 15 triangles. What is the simplest ratio of circles to triangles
Answer:
4:5
Step-by-step explanation:
True or False: A prime number has exactly 2 factors
O True
O False
Answer:
I’d say false
Step-by-step explanation:
The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie
Answer:
b
Step-by-step explanation:
circumference= 2πr
37.8cm = 2πr
r= 6 cm
Area= πr^2
area = 113cm^2
Can someone do this please
ANSWER ASAP look at pic and answer #18
Answer:
Four
Step-by-step explanation:
why does math have to be so hard
Answer:
Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.
Math is hard because it is a non-intuitive, non-natural activity. Math don't happen by chance only, it only happens with deliberate, focused work. For this you expend a lot of energy and cause a lot of mental strain, you put yourself on an uncomfortable condition for hours, days, sometimes weeks to solve a problem.
But some people love math, like me, because they study math more than others. If you study more and learn more about math, then you’ll start to feel more comfortable because you’ll be ahead of the class when your teacher teaches you something.
The most important thing is to keep trying and never give up.
Hope this helps! :)
HELP
Which equations have exactly one y-value for any given x-value? Select all that apply.
Answer:
I believe its A. y=-x C and D.
Please correct If I am wrong Please and thank you
Step-by-step explanation:
the relationship between the elapsed time in minutes since the stew was removed from the stove and temperature of the stew measured in c is modeled by the following function
CAN SOMEONE PLEASE HELP ME!!
Consider the polynomial function h(x) = -7x6 + 3x4 – 5x2.
What is the end behavior of the graph of h ?
Answer: As x -> ♾, h(x) -> -♾, and as x -> -♾,h(x) -> -♾
Step-by-step explanation:
The end behavior is x ----> ∞ then h(x) ----> -∞, and when x ----> -∞ then h(x) -----> -∞.
What is Function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.
Given:
h(x) = -7[tex]x^6[/tex] + 3 [tex]x^4[/tex]– 5x².
If we plot the Equation on the Graph we can see a parabolic Curve.
This Curve tells as x tends to ∞ the value of h(x) tends to -∞.
and, when x tends to -∞ the value of h(x) tends to -∞.
Hence, the end behavior is x ----> ∞ then h(x) ----> -∞.
and, when x ----> -∞ then h(x) -----> -∞.
Learn more about Function here:
https://brainly.com/question/2541698
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Foot Locker is selling a pair of Nike for $60 that has been discounted by 25%. What was the original selling price?
MARKING PEOPLE AS BRAINLIST ARE THE TRRIANGLES CONGRUENT HOW DO YOU KNOW? Please help thank you :)
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
PLEASEEEE HELP ME PLEASEEE
Answer: Your answer is: (-4,∞)
400 students went on a field trip. Six buses were filled and 34 students traveled in cars. How many students were in each bus? HELP PLEASE 40 POINTS
Answer:
61
Step-by-step explanation:
first subtract the 34 students that went with a car then divide 366 ÷ 6=61
400-34=366
366÷ 6=61
Hope this helps :)