To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?
Answers
Answer:
1
Step-by-step explanation:
Answer:
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Step-by-step explanation:
Set up a table (attached) that summarizes and organizes the data. Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school. We know that distance = (speed)*(time).
The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.
TRIPS
1 2
House/Shed A 6 18 km/hr
Shed/School B 15 27 km/hr
18'30" 10'10" min
18.5 10.16 min
0.308 0.169 hr [Convert the minutes into hours]
[The distance divided by the speed will give the time required for each segment, A and B].
Trip 1: 1) A/6 + B/15 = 0.308
Trip 2: 2) A/18 + B/27 = 0.169
Trip 1: A/6 + B/15 = 0.308
A + (6/15)B = 1.85 [Multiply each side by 6]
A = 1.85 - (6/15)B [Rearrange]
A = 1.85 - (0.4)B [This will be the defination of A we'll use in the second equation]
Trip2: A/18 + B/27 = 0.169
(1.85 - (0.4)B)/18 + B/27 = 0.169 [Use A= 1.85 - (0.4)B from above]
27(1.85 - 0.4B)/18 + B = 27*(0.169) [Multiply each side by 27]
1.5*(1.85-0.4B) + B = 4.58
2.78 - 0.6B + B = 4.58
0.4B = 1.85
B = 4.47 km
Now use B = 4.47 km in either original equation to find A.
A/18 + B/27 = 0.169
A + (18/27)B = 18*(0.169) {Multiply both sides by 18]
A + (0.67)B = 3.042
A + (0.67)(4.47) = 3.042
A + (2.98) = 3.042
A = 0.062 km
Trip A from House to Shed is 0.062 km
Trip B from Shed to School is 4.47 km
Related Questions
PLEASE PLEASE HELP THANK YOU SO MUCH
Answers
Answer: x => 12.8 cm
13 and 13.5
Step-by-step explanation:
The area is equal to or greater than 154 cm^2:
A [tex]\geq[/tex] 154 cm^2
Assume a minimum of 154 cm^2 and calculate the area of a rectangle having a width of 12 cm. Let x be the length of the rectangle, so that:
(12)*x = Area
Area => 154 cm^2
(12)*x => 154 cm^2
x => (154/12cm) cm^2
x => 12.8 cm
13 and 13.5 will both meet the criteria.
what is the slope of the line graphed on the coordinate plane
Answers
Answer:
The slope = 3/4
Step-by-step explanation:
[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
[tex]m=\frac{6-3}{2-(-2)}=\frac{6-3}{2+2}[/tex]
m = 3/4
1.
Use the quadratic function to predict y if x equals 6.
y = 2x^2 − 2x − 2
A. y = −58
B. y = −60
C. y = 60
D. y = 58
Answers
Answer:
D. y = 58
Step-by-step explanation:
Answer:
The value of the polynomial is 58 for x = 6.
Step-by-step explanation:
Here, the given quadratic function polynomial is given as:
or,
Now, to find the value of y, when x = 6
⇒
= 2(36 - 6 -1) = 2(29)
= 58
⇒y(6) = 58
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Solve for x.
x+ 26
3x - 32
x = [?]
= [
Enter
Answers
Answer:
29x
29
Step-by-step explanation:
x+26
3x-32
x=26
=29
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Answers
Answer: 25% or B
Step-by-step explanation:
1. Money in November - Money in October
2. 50 - 40 = 10 dollars increased
3. 10/40 = 0.25 or 25%
A rocket sled accelerates from 10 m/sec to 50 m/sec in 2 seconds. What is the acceleration of the sled?
Answers
Answer:
50
Step-by-step explanation:
on edge
What is the slope of the line that passes through the points (3, 7), (9, 19) and (5, 11)?
Answers
Answer:
the slope is 2
Step-by-step explanation:
use the slope formula which is y2-y1/x2-x1
which symbol would best replace the question mark below
Answers
Answer:
C?
Step-by-step explanation:
Find any four rational numbers between -2 and -1
Answers
Answer:
-19/10, -18/10, -17/10, -16/10
Step-by-step explanation:
Four Rational numbers between -2 and -1 are:-
-1.9,-1.8,-1.7,-1.6
=> -19/10, -18/10, -17/10, -16/10
Answer:
-1.72, -1.8, -11/8, -29/20.
Step-by-step explanation:
Which expression is equivalent to 21 x + 35 y – 14 = 0?
y = x + 2
B y = x – 7
C y = -x + 14
D 3x + 5y = 2
Answers
Answer: D: 3x + 5y = 2
Step-by-step explanation:
D. Divide 21 x + 35 y – 14 = 0 by 7 to get:
3x + 5y -2 = 0
Rearrange: 3x + 5y = 2
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Answers
Answer:
x > -5.25
Step-by-step explanation:
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Answers
Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below: Preferred Food Pizza Burgers Other Total Gender Girl 5 6 4 Boy 7 5 3 Total Find the joint relative frequency that a survey participant is a girl who prefers burgers. 11 0.17 0.2 0.37
Answers
Answer:
0.2
Step-by-step explanation:
We will divide the number of girls who prefer burgers by the number of students
[] 5 + 5 + 6 + 4 + 7 + 3 = 30
[] 6 / 30 -> 0.52
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
help me please! find the angles and solve for x!!!
Answers
Answer:
x = 25; 47 degrees, 47 degrees, 86 degrees
Step-by-step explanation:
the two triangles are congruent so they have the same angles
that means 2x - 3 = x + 22
2x - 3 = x + 22
subtract x from each side
x - 3 = 22
add 3 to both sides
x = 25
and this is your answer
assuming that the triangles are isosceles triangles two of the angles are the same
the angles with the x on it are 47 after calculating
that means that the other angle across from it is also 47
a triangles angles added up is 180
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the last angle after calculating is 86 degrees
kelsey bought a new jackat. the jackat costs $ 150.00 she will pay 7% in sales tax how much money will she pay in sales tax
Answers
Answer:
10.50
Step-by-step explanation:
Answer:
she will pay $10.50 in sales tax and $160.50 in total
Step-by-step explanation:
first, find 7% of 150.
150*.07=10.5
add 10.5 to the total
Belvedere goes to the store and buys a garden statue for $30. The store has a sales tax rate of 7.8%. How much tax will Belvedere have to pay?
Answers
Answer:
$2.34
Step-by-step explanation:
30x0.078=2.34
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Answers
PLEASE HELP!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.
∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?
DE = ______ m∠E = ________
Answers
Answer:
DE = ____24__ m∠E = ____22____
Step-by-step explanation:
I hope this helps
Will give brainliet no file plz
Answers
Answer:
it would be C
Step-by-step explanation:
b. Write an equation of the line perpendicular to
x + 2y = 6 through (8,3).
Answers
Answer:
y = 2x + 13 or -2x + y = 13
Step-by-step explanation:
1) I would convert x + 2y = 6 to y-intercept/slope-intercept form...
2y = -x + 6 - > y = -1/2x + 3
2) The slope of the line is -1/2. Perpendicular lines have a negative reciprocal slope to the other line, so the slope is 2. Therefore your equation so far is...
y = 2x + b
3) The point that is given is (8, 3). This means that x = 8 and y = 3. Substitute that into the equation and solve for b (the y-intercept)
3 = 2(8) + b
3 = 16 + b
-13 = b
b = 13
4) Now, we know that b = 13 and the slope is 2. Therefore...
y = 2x + 13
Also note, if you want this equation in standard form, it would be...
-2x + y = 13
If you sell 225 shares of Dryas Security at $5. 12 per share and 340 shares of Cilla Shipping at $12. 43 per share, how much money will you receive, to the nearest dollar? a. $1,152 b. $5,378 c. $4,226 d. $3,074.
Answers
Answer:
the answer to your question Is B $5,378
Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.
Answers
solve pls brainliest
Answers
Answer:
0.28 repeating- yes, this is a repeating decimal
0.74...- yes, this is a repeating decimal
0.3162..- no, this is a decimal that neither terminates nor repeats
0.816..- yes, this is a terminating decimal
Step-by-step explanation:
Terminating decimals:
a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25Repeating decimals:
a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...Non-terminating, Non-repeating decimals:
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Answer: F(x)= 4,800(1.5)^X
Answers
Answer:
1+2=3
Step-by-step explanation:
A triangle has two sides of length 7.2 and 11.6. What compound inequality describes the possible lengths for the third side, x?
Write a compound inequality like 1
Answers
Answer:
4.4 < x < 18.8
Step-by-step explanation:
11.6 - 7.2 = 4.4
11.6 + 7.2 =18.8
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Answers
Answer:
x=5
Step-by-step explanation:
Question and answer choices are in the SS attached!!!! Pls help me! ty!
Answers
Answer:
B
Step-by-step explanation:
It's a right triangle, so the pythagorean theorem will be used a lot.
First, find the side length on the left.
25^2 = 7^2 + y
y = 24
Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.
4^2 + 24^2 = x^2
x = [tex]\sqrt{592}[/tex]
Just need to simplify it a little farther...
592 / 16 = 37, so B must be the answer.
Find the range of the function.
f(x) = -7x2 – 3
-
Answers
Answer:
its x: x< -3
Step-by-step explanation:
ya
Which of the following is a correct equation for the line passing through the
point (-1,4) and having slope m= -3?
Check all that apply.
V=-
O A.
-*-3
B. 3x+y=1
O c. y= - 3x + 1
D. 7–4= – 3(x+1)
SUBMIT
Answers
Answer:
C
Step-by-step explanation:
m = -3
y = mx +b
y = -3x + b
Plugin x = -1 and y = 4
4 = -3*(-1) +b
4 = 3 + b
4-3 = b
b = 1
y = -3x + 1
Answer:
B, C, D
Step-by-step explanation:
The equation of a line in point slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b ) = (- 1, 4 ) , then
y - 4 = - 3(x - (- 1) ) , that is
y - 4 = - 3(x + 1) → D
Distribute parenthesis
y - 4 = - 3x - 3 ( add 4 to both sides )
y = - 3x + 1 → C
Add 3x to both sides
3x + y = 1 → B
please solve the question