2 cars c and d started to move to each other car c was 118 miles from Boston car d was 256 miles from Boston car c was going twice as fast as car d how. Far from Boston will these 2 cars meet
Answer:
131.3 miles
Step-by-step explanation:
The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.
Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:
d₁ + d₂ = 374 miles (1)
Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence
For car c:
2x = d₁/t
t = d₁ / 2x
For car d;
x = d₂/t
t = d₂/ x
Since it takes both cars the same time to meet at the same point, therefore:
d₁/2x = d₂ / x
d₁ = 2d₂
d₁ - 2d₂ = 0 (2)
Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles
Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles
Both the cars will meet at 131.33 miles from Boston.
Solution of the system of equations:Pair of equations with two variables is called a system of equations.These equations can be solved by substitution, subtraction or addition method to get the values of the variables.Values of variables is the solution of system of equations.
Given in the question,
Two cars C and D are moving towards each other.Distance between Boston and cars C and D are 118 miles and 256 miles respectively.Speed of car C is double of car D.Distance between two cars = 118 + 256 = 374 miles
Let these cars meet at a point P.
Let the distance between the car C and point P = 'x' miles
Therefore, distance between car D and point P = (374 - x) miles
Time taken 't' by car C to travel the distance 'x' miles,
[tex]\text{Time}=\frac{\text{Distance}}{\text{Speed}}[/tex]
[tex]t=\frac{x}{2v}[/tex] -------(1)
Time taken 't' by the car D to travel (374 - x) miles,
[tex]t=\frac{(374-x)}{v}[/tex] ---------(2)
Substitute the value of 't' from equation (2) to equation (1),
[tex]\frac{x}{2v}=\frac{374-x}{v}[/tex]
[tex]\frac{x}{2}=374-x[/tex]
[tex]\frac{3x}{2}=374[/tex]
[tex]x=249.33\text{ miles}[/tex]
From the picture attached,
Distance between Boston and the meeting point = (x - 118) miles
= 249.33 - 118
= 131.33 miles
Therefore, both the cars will meet at a point 131.33 miles distant from Boston.
Learn more about the system of equations here,
https://brainly.com/question/9942937?referrer=searchResults
Mr Leonard red and white balloons for his sons birthday he ordered a total of 60 balloons , and there were 10 more red balloons than white balloons
I'm going to assume we need to figure out how many red and white balloons there are, There is 35 red balloons and 25 white balloons.
Step-by-step explanation:
35-25=10
35+25=60
Help what's 5,547 divided by 18?
Answer:
308.166666667 after rounding it would be 308.17 or 308.167 I think.
Step-by-step explanation:
Sally wants to buy a doll house house that is 20% off. The original price is $46.53 what is amount of discount
Answer:
9.28
Step-by-step explanation:
Answer:
37.22
Step-by-step explanation:
Convert to degrees
(pie over 2)
pie
——
2
Answer:
90°
Step-by-step explanation:
[tex](\pi /2) * 180 = 90[/tex]
Whenever you are required to transfer from Radians to Degrees, simply multiply the Numerator by 180° (180). Treat the [tex]\pi[/tex] as a variable such as x and y, and divide by the numerator.
A family took a trip fork North Carolina to California and back. It took them 14 days to drive 4,900 miles. If they drove about the same miles each day, how many miles did they drive each day?
Answer:
350 miles.
Step-by-step explanation:
If you take 4900 and divide it by 14 you get 350. Hope this helps!
Find the area of a circle with radius 5 cm Use the value 3.14 for it and do not round your answer Be sure to include the correct unit in your answer cm
Here is a list of numbers:
7.3, 4.2, 7.3, 6.7, 4.2, 9.3, 1.2 ,1.1 ,6.4 ,8
State the median.
the same as the other math problem
Answer:
12. Y=8 is the answer I have the explain
13. X=-1 is the answer I have the explain
Step-by-step explanation: hope this help
00
Calculate the areas of these rectangles.
8 cm
a)
3 cm
5.2 cm
b)
7.7 cm
a)
b)
+ cm
+
cm
Submit Answer
Nicholas sold 21 of the 35 candy bars in his fundraising box. What
percent of the total number of candy bars did Nicholas sell? *
A sum of money is deposited at a bank at a rate of 12½ annum simple interest. In how many years would the deposited money be doubled
Answer:
It would take 10 years for the given sum of money be doubled at the given simple interest rate.
Step-by-step explanation:
A 10% interest would be added to the the principal amount after each year. So the interest would reach 100% i.e. equal to the principal amount in 10 years.
How do I find the area of the shaded region
Answer:
Area of shaded region,
=(Area of bigger circle) - (Area of smaller circle)
Step-by-step explanation: took the quiz and got it right
Mountain Dew has 25 fewer milligrams of caffeine than a can of Red Bull. If a Mountain Dew
has 55 milligrams of caffeine, how much caffeine is in a can of Red Bull?
Answer:
Step-by-step explanation:
Mountain Dew=Red Bull-25 caffeine
Red Bull caffeine= 55+25=80 mg caffeine
How many 1/3 pound packages of turkey could be mad he made from 2 1/6 pounds of turkey
(HURRY PLEASE)
Answer:
6 whole packages as the other half can't be count
Step-by-step explanation:
2, 6, 18, 54. 162,...
The first five terms of a geometric sequence are given above.
Write a recursive function rule for the sequence.
a
f\left(n\right)=3f\left(n\right)+2
b
f\left(n\right)=2n
c
f\left(n\right)=3f\left(n-1\right),\ n1=2
d
f\left(n\right)=3n+2
9514 1404 393
Answer:
[tex]\text{c. }f(n)=3f(n-1);f(1)=2[/tex]
Step-by-step explanation:
The first term is 2, so part of the recursive definition is ...
f(1) = 2
The common ratio is 6/2 = 3, so each term is 3 times the previous one. That part of the recursive definition is ...
f(n) = 3·f(n -1)
These two parts of the definition match choice C.
Layla scored 18 out of 22 on a quiz and a 60 out of 70 on a test. Did Layla score a higher percentage on the quiz or on the test? Justify your answer.
Answer:
the quiz
Step-by-step explanation:
18/22 simplifies to 9/11 (uh-oh)
60/70 simplifies to 6/7
you can estimate from here that 9/11 is bigger, so she scored higher on the quiz
Answer:
Layla scored higher on the test.
Step-by-step explanation:
18/22 is 81.81%. And 60/70 = 85.71%.
What is the area of a circle that has a circumference of 87 pie
Answer:A≈602.32
C Circumference 87
Step-by-step explanation:Hope this helped u also may i plz have brainlist only if u wanna give me brainlist though! Have an great day kind sir or ma'am
y = 2/3x + 1
m=?
b=?
Answer:
m = 2/3 and b = 1
Step-by-step explanation:
This is an equation is slope-intercept form: y = mx + b where m is the slope and b is the y intercept.
This means m = 2/3 and b = 1
determine the quotient when 18 is divided by 6
Answer:
18 divided by 6 = 3.
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
18/6=3
6+6+6=18
Explain whether a triangle exists with side lengths 31 m, 89 m, and 122 m.
Answer:
No
Step-by-step explanation:
The sum of the smaller sides is not bigger than the largest side, 122. ( 31 + 89 = 120 < 122)
I need help. Someone please help ASAP. This is due today.
Divide (x^3-3x-2) by (x-2)
Please answerr if you can solve the question!
I used long division to solve the problem
Multiply: (3x - 5)( 4x2 - 2x - 3)
Answer:
-21
Step-by-step explanation:
3x-5=2
4x 2=2
2x-3=2
add them together you will get -21
Use inverse operation to solve the question
2/3z = -4
Z= ?
Answer:
z=(-6)
Step-by-step explanation:
(2/3)*z=(-4)
2*z=3*(-4) --> We move the 3 from the left to the right part of the equation. It was dividing, so we move it multiplying.
2*z=(-12)
z=(-12)/2 --> It's the inverse case of before. 2 was multiplying, so we move it to the right by dividing it.
z=(-6)
There are 5 ¾ feet of lights to wrap around a pillar. Every time the lights wrap around, it uses up ⅛ ft of the lights. How many times can the lights be wrapped around the pillar?
Answer: 46
Step-by-step explanation:
From the question, we are informed that there are 5 ¾ feet of lights to wrap around a pillar and that every time the lights wrap around, it uses up ⅛ ft of the lights.
The number of times that the lights can be wrapped around the pillar will be:
= 5 ¾ feet ÷ ⅛ ft
= 23/4 / 1/8
= 23/4 × 8
= 46 times
Charlotte has 3 times as many pets as Joey. Charlotte has 9 pets. Which equation matches the situation
(A) 3x=9
(B) x-9=3
(C) x/3 =9
(D) x+3=9
Answer:
A
Step-by-step explanation:
8832 divided by 42
What’s the remainder?
Answer: 8832 divided by 42 = 210 R 10
A rectangle is 6 feet long by 4 feet wide.
If 2 feet are removed from the length of the rectangle, what would be the area, in square feet, of the new rectangle?
Answer:
6 - 2=4
4 x 4= 16
Step-by-step explanation:
How do you work out this please?
Increase £17.50 increased by 4%
Answer:
Final Value = 17.50 × (1 + 4/100)
Final Value = 17.50 × (1 + 0.04)
Final Value = 17.50 × (1.04)
Final Value = 18.2