Using the relation between velocity, distance and time, it is found that:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b + v_w = \frac{48}{3}[/tex]
[tex]v_b + v_w = 16[/tex]
Her flight home against the wind took 4 fours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b - v_w = \frac{48}{4}[/tex]
[tex]v_b - v_w = 12[/tex]
Adding the two equations:
[tex]2v_b = 28[/tex]
[tex]v_b = 14[/tex]
[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]
Hence:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
help please and thank you!
Answer:
A (0,3)
Step-by-step explanation:
The Y-intercept is where X equals 0
When X equals zero, Y equals 3.
what’s the missing side length?
A. 10
B. 7.1
C. 4
D. 35.4
Answer:
ans is 10
Step-by-step explanation:
by using pythagoras theorm
26^2=a^2+24^2
a^2=100
a=10
help me please i need help
Based on her results, what is the probability that a student randomly picked in her class chose comedy as their favorite?
1. 1/14
2. 2/7
3. 1/2
4. 1/7
Explanation:
8 people picked comedy out of 14+8+2+4 = 28 people total.
8/28 = (4*2)/(4*7) = 2/7 is the probability of randomly selecting someone who picked comedy as their favorite.
Which choice is equivalent to the fraction below?
5
6
a. 5-6
b. 5•6
c. 6 divided by 5
d. 5 divided by 6
Answer:
\ is the same as ÷
=d) 5 divided by 6
How do I solve for x and y?
Answer:
x = 69y = 21Step-by-step explanation:
To solve for x and y, take advantage of the relationships between angles and diagonals in a rhombus. Each diagonal bisects the vertex angle, and the acute angles in each right triangle are complementary.
__
The angles created by the diagonal at the lower left vertex are congruent:
y° = 21°
__
The angles x° and y° are complementary:
x° = 90° -21°
x° = 69°
Helpp me with my sister's math
Answer:
the 1/2w +22 one is a binomial
Step-by-step explanation:
a binomial is a equation with one two separate numbers AFTER simplifcation. so "1+1" is not a binomial because its equal to just 2, but "1 + x" is a binomial because its simplifed
19. which one of the following is not equal to the rest? a 2% of 150 b. % of 400 b 3 c. 6% of 60 d. 69 of 50
Answer:
i think it's c
Step-by-step explanation:
a. 2/100 × 150= 3. b. 100×400=40000. c. 6/100 ×60= 1.2 ×3=3.6. d. 69×50=3400 so answer c.
Factoring
Need help pls
Answer:
2x(2²+3³)
I HOPE THIS HELP, THANKS ME LATER
Answer:
Factor by using the AC method-
1. (x+1) (x+4)
Factor by grouping-
2. (4x-3) (x+2)
what is -4 x 8 x n simplified?
Answer:
It's -32x^2
Step-by-step explanation:
Determine the root of the equation by factoring 3x^2-x-4=0.
I have both of the roots solved, but when I verify it does not come out to a zero. Why is this?
Answer:
The roots you found should be [tex](3x-4)(x+1)=0[/tex], which shows that [tex]x = \frac{4}{3} \\ x=-1[/tex]
Step-by-step explanation:
You likely messed up when trying to one or both of the roots back into the equation.
HELP ME PLS!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Look at where the two lines intersect.
What is the area of the given quadrilateral?
Answer:
20 square units
Step-by-step explanation:
as its a square, we just add all the sides together. like a+b+c+d..
5+5+5+5=20 units
josh bought 8 items at wholesale price. he sold them all for $20 and made $10 profit. what was the wholesale price of each item?
Answer:
4items
Step-by-step explanation:
bought 8items
p=10%
10\20×8
Whats the equation of a circle with the center point of 1, -1 and a radius of. 5
Step-by-step explanation:
For this problem, we need to use the fact that the circle with center (h,k) and radius r is (x-h)^2 + (y-k)^2 = r^2.
This gives us that the equation of the circle is (x-1)^2 + (y-1)^2 = 25.
can yall help me please
I suppose, your answers are already given at the bottom of this page..
HELP ASAP PLEASE
The graph of a linear function passes through the points (7,0) and (-8, 45). A second linear function is
shown on this graph.
What is the distance, in units, between the y-intercepts of the two functionS?
distance : 15 units
coordinates : (7,0) and (-8, 45)
slope:
[tex]\sf \rightarrow \dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\sf \rightarrow \dfrac{45-0}{-8-7}[/tex]
[tex]\sf \rightarrow -3[/tex]
equation:
[tex]\hookrightarrow \sf y - 0 = -3(x-7)[/tex]
[tex]\hookrightarrow \sf y = -3x+21[/tex]
the y-intercept of this function:
[tex]\hookrightarrow \sf y = -3(0)+21[/tex]
[tex]\hookrightarrow \sf y =21[/tex]
distance between both y-intercept :
21 - 615For a given input value n, the function h outputs a value mmm to satisfy the following equation.
m+1=-2(n+6)
Write a formula for h(n) in terms of n.
Considering the equation given, the formula for h(n) in terms of n is given by:
h(n) = -2n - 13
What is the equation?
The equation given is:
m + 1 = -2(n + 6).
We want to write m as a function of n, hence:
m + 1 = -2(n + 6).
m = -2n - 12 - 1
m = -2n - 13
Hence:
h(n) = -2n - 13
More can be learned about equations at https://brainly.com/question/25537936
The following double line graph represents the enrollment of students at Jefferson Middle School for 2006 through 2009. If enrollment continues in the same trend, which of the following is a good prediction for eighth grade enrollment in 2010?
130
200
165
75
Considering the double line graph, it is found that a good prediction for eighth grade enrollment in 2010 is of 165.
What does the graph state?It states that:
The number of students enrolled in the 7th grade is falling by about 20 students per year.The number of students enrolled in the 8th grade is increasing by about 20 students per year.In 2009, there were 150 students enrolled in the 8th grade, hence an estimate for 2010 should be of about 165 or 170 students.
More can be learned about graphs at https://brainly.com/question/24808124
Answer:
165
Step-by-step explanation:
find the square root of following by division method
5499025
Answer:
2345
Step-by-step explanation:
5499025
5 1099805
5 219961
7 31423
7 4489
67 67
67 1
5x5x7x7x67x67
pick one of the doubles
5x7x67
=2345
brainiest please
Mrs. Orrie surveyed all classes that he teaches about the three different types of music thay students most listen to. His findings are displayed in the Venn diagram below.
Part A: Determine the probability that a student will like Top-Hits.
Part B: Determine the probability that a student will like country or R&B.
Part C: Determine the probability that a student will not like all three generes of music.
Using the probability concept, it is found that there is a:
A. 0.5116 = 51.16% probability that a student will like Top-Hits.
B. 0.7907 = 79.07% probability that a student will like country or R&B.
C. 0.9186 = 91.86% probability that a student will not like all three generes of music.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
According to the Venn diagram, there is a total of 18 + 8 + 11 + 7 + 24 + 1 + 17 = 86 students.
Item a:
18 + 11 + 7 + 8 = 44 like top hits, hence:
p = 44/86 = 0.5116.
0.5116 = 51.16% probability that a student will like Top-Hits.
item b:
24 + 11 + 7 + 1 + 17 + 8 = 68 like country of R&B, hence:
p = 68/86 = 0.7907.
0.7907 = 79.07% probability that a student will like country or R&B.
Item c:
Only 7 like all three, hence 86 - 7 = 79 do not.
p = 79/86 = 0.9186.
0.9186 = 91.86% probability that a student will not like all three generes of music.
More can be learned about probabilities at https://brainly.com/question/14398287
Find an equation for the plane that contains the line and is perpendicular to the plane
For the line and the plane to be perpendicular, they have to meet at right angles
The equation for the plane is x + 2y + 3z= 26
How to determine the equation?From the complete question, we have:
Point = (5,0,7)
Plane perpendicular to ⟨1,2,3⟩
The general equation is:
a * x+b * y+c * z = d
So, we have:
d = 5 * 1 + 2 * 0 + 7 * 3
Evaluate
d = 26
Recall that:
d = 5 * 1 + 2 * 0 + 7 * 3
Replace the points with x, y and z.
So, we have:
d = x * 1 + 2 * y + 3 * z
Evaluate
d = x + 2y + 3z
So, we have:
d = x + 2y + 3z and d = 26
Equate both equations
x + 2y + 3z= 26
Hence the equation for the plane is x + 2y + 3z= 26
Read more about perpendicular planes at:
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You make commission working at Footlocker. On Saturday you sold
$1,500 worth of merchandise and made $120 in commission. On
Sunday you sold $1,300 worth of merchandise. If you made the same percent commission,how much did you earn on Sunday?
A. $8
B. $86. 66
C. $104
D. $1,039. 99
Answer:
C. $104
Step-by-step explanation:
First, we need to figure out what percent $120 is of $1500.
120 ÷ 1500 = 0.08 = 8%. So, $120 is 8% of $1500, and this is the percentage that'll be used to calculate Sunday's commission.
0.08 (8%) × 1300 = 104
Thus, you earned $104 on Sunday.
can you help me figure this out?
Answer:
D. $8 per hour
Step-by-step explanation:
The rate of pay is found by dividing the pay by the number of hours it is for.
$40/(5 h) = $8/h
The worker gets paid $8 per hour.
At one farmer’s market, bananas cost $0. 80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. Which explains how to find the better buy? Divide 4. 50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Divide 0. 80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound. Multiply 4. 50 by 5 to find the cost for 5 pounds, and compare to $4. 50 per bag. Multiply 4. 50 by 0. 80 to find the cost for 5 pounds, and compare to $4. 50 per bag.
To find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
The cost price per pound is the amount of money required to buy one pound of a brand or goods.
To find the cost price per pound, divide the total amount of cost of the goods to the total number of goods.
At one farmer’s market, bananas cost $0.80 per pound.
At another farmer’s market, bananas are sold in 5-pound bags for $4. 50 per bag. To compare it with first market price, divide the 5 pound bags with $4.50.
The cost of one bag in this market is,
[tex]C=\dfrac{4.50}{5}\\C=0.5625[/tex]
As this cost is less, thus, the cost of this market for one banana is less than the first market and so this is the better buy.
Hence, to find the better buy divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0. 80 per pound.
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A box has a square base with side x cm , height 4 cm and volume 289 cm^3. Find x
Answer:
8.5 cm
Step-by-step explanation:
volume = height × area of base
since this a square, area of base = x²
so 289 = 4 × x²
x² = 289 ÷ 4
x² = 72.25
so x = √72.25
x = 8.5cm
hope this helps
The coach of Darnel's baseball team recorded how many runs the team scored in each game last season. This box plot shows the results. please
The fraction of the game that Daniel's team scores 2 or more runs is 1/4 of the game.
What are box plots?A box plot is used to study the distribution and level of a set of scores. Scores are distributed into 4 groups. Each group has a value of 25%
The first quartile, is the first line on the box. The first quartile represents 1/4 of the score.
To learn more about box plots, please check: https://brainly.com/question/27215146
Deondre drops a nickel from a balcony that
is 125 meters in the air. The function
y = -512 + 125 can be used to represent y, the
height of the coin in meters after t seconds.
Write and solve an equation to find the time it
will take for the coin to hit the ground.
The function [tex]y = -5t^2 + 125[/tex] of the nickel is quadratic function
It will take 5 seconds for the coin to hit the ground
How to determine the time the nickel hits the ground?
The function is given as:
[tex]y = -5t^2 + 125[/tex]
When the nickel hits the ground, the value of the function is:
y = 0
So, we have:
[tex]-5t^2 + 125 = 0[/tex]
Subtract 125 from both sides
[tex]-5t^2 =- 125[/tex]
Divide both sides by -5
[tex]t^2 =25[/tex]
Take the square root of both sides
[tex]t = 5[/tex]
Hence, it will take 5 seconds for the coin to hit the ground
Read more about quadratic functions at:
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A new club sent out 180 coupons to boost sales for next year's memberships. They provided 4 times as many to potential members than to existing members. How many coupons did they send to existing members?
They sent 36 coupons to the existing members
2. You are building a fence around your vegetable garden in your backyard. If
the garden is 12'8" long and 4'6" wide, what is the total length of fencing you
will need?
The length of fencing required is 34.34 feet.
Data;
Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feetPerimeter of the GardenTo find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.
[tex]P = 2(L + W)[/tex]
We can substitute the values in the formula of perimeter above and proceed to solve.
[tex]P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft[/tex]
The length of fencing required is 34.34 feet.
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