Question:
Alex skateboards at a constant speed from his house to school 3.8 miles away. It takes him 18 minutes.
a. What fraction represents his constant speed, c?
b. After school, Alex skateboards at the same constant speed to his friend’s house. It takes him 10 minutes. Write the fraction that represents constant speed, c, if he travels a distance of y.
c. Write the fractions from parts(a) and (b) as a proportion, and solve to find out how many miles Alex’s friend’s house is from school. Round your answer to the tenths place.
Answer:
(a) [tex]c = \frac{3.8}{18}[/tex]
(b) [tex]c = \frac{y}{10}[/tex]
(c) 2.1 miles
Step-by-step explanation:
Solving (a):
Given
[tex]Distance = 3.8\ miles[/tex]
[tex]Time = 18\ minutes[/tex]
Required
Determine the constant speed, c.
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
So, we have:
[tex]c = \frac{3.8}{18}[/tex]
Solving (b):
Given
[tex]Distance = y[/tex]
[tex]Time = 10\ minutes[/tex]
Required
Determine the constant speed, c.
Speed is calculated as:
[tex]Speed = \frac{Distance}{Time}[/tex]
So, we have:
[tex]c = \frac{y}{10}[/tex]
Solving (c): Write (a) and (b) as proportions and solve for y.
As a proportion, we have
[tex]\frac{y}{10} = \frac{3.8}{18}[/tex]
Multiply both sides by 10
[tex]10 * \frac{y}{10} = 10 * \frac{3.8}{18}[/tex]
[tex]y = 10 * \frac{3.8}{18}[/tex]
[tex]y = \frac{38}{18}[/tex]
[tex]y = 2.11111[/tex]
[tex]y = 2.1\ miles[/tex] ---- approximated
How much interest would you pay on a $12000 loan at 5% for 6 years
Answer:
Interest=$3600
Step-by-step explanation:
I = P * r * x * t
Where:
P is the principal amount, $12000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 6....year(s) time periods.
So, t is 6....year time periods.
To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:
The interest is: $3600.00
Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),
or 12000.00 + 3600.00 = 15600.00. For example:
If you borrowed the $12000.00, you would now owe $15600.00
If you loaned someone $12000.00, you would now be due $15600.00
If owned something, like a $12000.00 bond, it would be worth $15600.00 now.
what is the distance between (-1, 2) and (3, 5)
Answer
the slope is 3/4 or .75
Answer:
The distance is 5 units.
Step-by-step explanation:
Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition
1) We are given 2 points --> (-1,2) and (3,5)
2) To find out the distance between both, we use distance formula.
This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].
3) For the points (-1,2) and (3,5):
-1 is x12 is y13 is x25 is y24) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]
5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]
6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]
7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.
Therefore, the distance between the 2 points is 5 units.
Hope you understood and have a nice day!! :D
Help will mark brainlist.
1=
2=
3=
4=
What is the area of a rectangle with a base of 7 cm and a height of 11 cm
Answer: 77
Step-by-step explanation:
A triangle with area 50 cm^2 has side lengths 10cm and 22cm. What is the magnitude of the included angle?
Answer:
can we go to bed first
Step-by-step explanation:
then i will check your speed
Answer:
27°
Step-by-step explanation:
A = ab sinC / 2
50 = 10 * 22 * SinC / 2
sin C = (50 * 2) / (10 * 22) = 100 / 220 = 0.455
C = 27°
Find the x and y intercept of the line. x = 2 need in 10-15 minutes PLEASE
Answer:
x-intercept: (2,0)
y-intercept: This line doesn't cross the y-axis.
Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?
Answer:
The answer is $1512.
Step-by-step explanation:
First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.
Billy bought 2 sweatshirts and 3 t-shirts. His friend Jordan bout 3 sweatshirts and 3 t-shirts. Billy's bill was $35 and Jordan's bill was $45. What is the price of one t-shirt and what is the price of one sweatshirt?
what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely
Answer:
2x^2+3x+3
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2". 1 more similar replacement(s).
STEP 1
The Equation at the end of step 1
(3x2 + 5x) - x2) - 2x) + 3
STEP 2
Trying to factor by splitting the middle term
2.1 Factoring 2x2+3x+3
The first term is, 2x2 its coefficient is 2.
The middle term is, +3x its coefficient is 3.
The last term, "the constant", is +3
Step-1: Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2: Find two factors of 6 whose sum equals the coefficient of the middle term, which is 3.
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7
2 + 3 = 5
3 + 2 = 5
6 + 1 = 7
Observation: No two such factors can be found !!
Conclusion: Trinomial can not be factored
Final result :
2x^2 + 3x + 3
Hope this helps!
Brain-List?
What is 30% of 60?????
Answer:
60(.3)= 18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
pls help U WILL BE BRAINLISTED
Answer:
C.)
Step-by-step explanation:
You need at least 6 employees to generate 7,300 dollars in revenue because 7300-5500=1800 and 1800/300=6. Hope this helps
x-15/5=4
what is x in this equation?
Answer: is 7 an answer choice ?
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
x-15/5=4
x-3=4
x=4+3
x=7
A 123-inch pipe is cut into two pieces. One piece is two times the length of the other. Find the length of the shorter piece.
Answer:
the shorter pipe is 41 inches the longer one is 82 inches.
Step-by-step explanation: hope this helps
I'm taking a test and it's really important that I pass it because I'm already failing the class. Please help me I have no idea how to do it. The test has a time limit, everything has to be submitted by 12:25 at the latest. Please show the work if you can.
Simplify the expressions
1. (1+2i)(5-5i)
2. (1+2i)-(-2-2i)
3. (1+2i)+(2-i)
4. (6i)(-5i)
Answer:
1. 15+5i
2. 3+4i
3. 3+i
4. 30
Step-by-step explanation:
What is the equation
please help, can't understand.
Step-by-step explanation:
Angle ACO = 140° - x. (Sum of angles in a triangle is 180°)
Now draw the line OD. The triangles ODC and OBC are congruent via the SSS congruence property. (OD and OB are both the radius of semicircle, common side OC, and side CD = CB is given)
Hence Angle BCO = Angle ACO = 140° - x.
Since triangle OBC is an isosceles triangle with OC = OB, this means that Angle CBO is also 140° - x.
By Exterior Angle theorem,
we have Angle AOC = Angles BCO + CBO
=> x = (140° - x) + (140° - x)
=> 3x = 280°
=> x = 280°/3. (B)
Fine c. Round to the nearest tenth
Answer:
14.9
if you need it
side a is 24.04867
9514 1404 393
Answer:
c ≈ 14.9 cm
Step-by-step explanation:
I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...
C = 180° -150° -12° = 18°
Then the law of sines tells us ...
c/sin(C) = b/sin(B)
c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)
c ≈ 14.9 cm
If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made
Answer:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Step-by-step explanation:
If there are 30 boys and 15 girls in the room
We have :
Boys : Girls
30 : 15
a) 30 : 15
Dividing through by 3
= 10:5
b) 30 : 15
Dividing through by 5
= 6:3
c) 30 : 15
Dividing through by 15
= 2:1
Hence:
All the possible ratios of boys to girls that could be made are:
30:15
10:5
6:3
2:1
Find the product: 42.6 × 15.
Answer:
The answer is 639.
Step-by-step explanation:
42.6 × 15
639
Answer: 639
Step-by-step explanation:
42.6 x 15 =639
4.
Which two steps should be used first in solving the system of equations by substitution?
A:Substitute 9 for y in the first equation and then solve the other equation for x.
B:Solve the second equation for y and then substitute this value into the first equation.
C:Subtract the terms in the second equation from the first equation and then solve for y
D:Multiply the first equation by 4 and the second equation by 2.
Answer:
B because that is how you do substitution and all of the other ones do not make sense
Did I get it correct?
Answer:
No they are proprotional.
Step-by-step explanation:
the tables eqaution is
y=3x+1
Answer:
Yes. I assume yes they are proportional because you can see a pattern in the y and x's.
What is the area of the triangle in the diagram?
Answer:
A is the correct answer
Step-by-step explanation:
We need to figure out the base and the height. We can do that using pythagorean's theorem.
The others either misused the pythagorean theorem or got the 1/2*base*height formula wrong, so A is the answer.
I need help with this please. :)
Answer:
64x³+4
-------------
2x-1
Step-by-step explanation:
I hope this helps. :)
b) Add the following equation:
x/3+4x/3
Answer:
5x/3
Step-by-step explanation:
Jeremy wants to determine the number of solutions for the equation below without actually solving the equation. Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3 Which method should Jeremy use?
Options :
Determine whether the equation has the form a = a, and if it does, the equation has infinitely many solutions. Determine whether the equation has the form a = b, and if it does, the equation has no solution. Determine whether the equation has the form x = a, and if it does, the equation has one solution. Determine whether the equation has the form x = 0, and if it does, the equation has no solution.
Answer:
Determine whether the equation has the form x = a
Step-by-step explanation:
Negative 3 (x + 1) + 3 x = negative 3 (x minus 1) + 3
-3(x + 1) + 3x = - 3(x - 1) + 3
If the equation has the form x =a, where a is the unknown and a is the value of the unknown 'x'
Expanding :
-3x - 3 + 3x = - 3x + 3 + 3
-3x + 3x -3 = - 3x + 6
-3 = - 3x + 6
-3 - 6 = - 3x
-9 = - 3x
x = 9/3
x = 3
i will breann list yuo
Answer:
D. 4/9 and 0.4 repeated
Step-by-step explanation:
4000/9 is .4 repeated and the 4 in the remainder which would end up as 4/9
Add (−x + 4) + (3x + 2). I WILL MARK BRAINLIST!
Answer:
2x+6
Step-by-step explanation:
(-x+4)+(3x+2) remove ()
-1x+4+3x+2 combine like terms
2x+6
Gabrielle is 14 years older than mikhail. The sum of thier age is 84. What is mikhails age
Answer:
I really am just answering this for meh points, so I can ask a quesiton. Could you use this as helpfull xD. Taking a straight up guess. I think mikhail is 98
Step-by-step explanation:
Answer:
Mikhail is 35 years
Step-by-step explanation:
let mikhails age be k.
mikhail=k
Gabrielle=k + 14
k + k + 14=84
2k+14-14=84-14
2k=70
2k/2=70/2
k=35years
Jada and Noah wanted to find the total volume of a cube and a rectangular prism. They know that the prisms volume is 20 cubic units, and they know that the cube has side lengths of 10 units. Jada says the total volume is 27,000 cubic units. Noah says it is 1,020 cubic units. Do you agree with either of them?
Answer:
Noah answer is the correct answer
Step-by-step explanation:
The solution to the above question is given as:
Total Volume = Volume of the prism + Volume of the cube
Volume of the prism = 20 cubic units
Volume of a cube = (Side length)³
= 10³ = 1000 cubic units
Hence: The total volume =
20 cubic units + 1000 cubic units
= 1,020 cubic units
Therefore, I agree with Noah's answer.
Joe is running after Bob. In a minute Joe does 60 steps, which makes up 3/16 of the number of steps, which Bob does in a minute. The length of Bob's step is 25 cm which makes up 5/24 the length of joe's step. With what speed do Bob and Joe run with what speed does the distance between them change? what will it become in 10 minutes, if right now bob is in front of joe by ten meters?
Joe is going with a speed of ____
cm per minute. Bob is going with a speed of ____
cm per minute. The distance between them changes with ____
cm per minute. The distance will become _____
cm in 10 minutes. _____
Answer:
Joe is going with a speed of 7200
cm per minute. Bob is going with a speed of 8000
cm per minute. The distance between them change with 800
cm per minute. The distance will become 9000
cm in 10 minutes
Answer:
7200 8000 800 and 9000
Step-by-step explanation:
L