Answer:
a. Emily should begin her turn as the third driver at point (1, -0.5).
b. Emily's turn to drive end at point (-2.5, -3.75).
Step-by-step explanation:
Let assume that the group of girls travels from their hometown to San Antonio in a straight line. We know that each location is, respectively:
Hometown
[tex]H(x,y) = (8,6)[/tex]
San Antonio
[tex]T(x,y) = (-6,-7)[/tex]
Then, we can determine the end of each girl's turn to drive by the following vectorial expression based on the vectorial equation of the line:
Steph
[tex]S(x,y) = H(x,y) + \frac{1}{4}\cdot [T(x,y)-H(x,y)][/tex] (1)
[tex]S(x,y) = (8,6) + \frac{1}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]S(x,y) = (8,6) +\frac{1}{4}\cdot (-14,-13)[/tex]
[tex]S(x,y) = (4.5,2.75)[/tex]
Andra
[tex]A(x,y) = H(x,y) + \frac{2}{4}\cdot [T(x,y)-H(x,y)][/tex] (2)
[tex]A(x,y) = (8,6) + \frac{2}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]A(x,y) = (8,6)+\frac{2}{4}\cdot (-14,-13)[/tex]
[tex]A(x,y) =(1, -0.5)[/tex]
Emily
[tex]E(x,y) = H(x,y) + \frac{3}{4}\cdot [T(x,y)-H(x,y)][/tex] (3)
[tex]E(x,y) = (8,6) + \frac{3}{4}\cdot [(-6,-7)-(8,6)][/tex]
[tex]E(x,y) = (8,6)+\frac{3}{4}\cdot (-14,-13)[/tex]
[tex]E(x,y) = (-2.5, -3.75)[/tex]
a. If the girls take turns driving and each girl drives the same distance, at what point should they stop from Emily to begin her turn as the third driver?
Emily's beginning point is the Andra's stop point, that is, [tex]A(x,y) =(1, -0.5)[/tex].
Emily should begin her turn as the third driver at point (1, -0.5).
b. At what point does Emily's turn to drive end?
Emily's turn to drive end at point (-2.5, -3.75).
Zeke kicked a football 92 yards. Zane estimated it at 90 yards. What percent error did Zane make? If a decimal, round the percent to 2 decimal places.
Answer:
Zeke had a 2.17% margin of error in his estimation.
Step-by-step explanation:
To set this problem up, you would need to create a proportion. X, the percent of error you're trying to find, should be over 100%. It should look like:
2/92 = X/100
This would translate your terms, the distance the football was kicked, into percentage terms. You should have 2/92 rather than 90/92. 90/92 would give you how accurate Zeke's estimate was instead of is percent of error.
Cross-multiply your numbers:
(2)(100) = 92X
200 = 92X
X = 2.1739
Then, once you round it, your answer would be X = 2.17.
Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?
Answer:
9
Step-by-step explanation:
because area = length times with so it also means area divided by with with = length
A soccer player passes the ball from a point that is 18 yards from the endline and 12 yards from the sideline. A teammate who is 42 yards from the same endline and 50 yards from the same sideline receives the pass. (See figure.) How long is the pass? (Round your answer to the nearest yard.)
The answer would be 44.9 yard.
if n represents a number, write an expression that represents a number that is 5 less than n.
n-5
less than implies subtraction after the variable
The ratio of right-handed students to left-handed students is 8 to 3.There are 520 right-handed students in school.How many students are left-handed
Answer:
195 students are left-handed
Step-by-step explanation:
Here, we want to calculate the total number of students who are left-handed
Let the total number of students in the school be x
The total ratio is 8 + 3 = 11
8/11 * x = 520
8x = 11 * 520
x = (11 * 520)/8
x = 715 students
So the number of students who are left handed will be;
Total - number of right-handed students
That would be;
715-520 = 195
Please help! 30 points!
Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.
Answer:
((6 x 3 + 4/2) x 5 ) / 1
Will mark brainliest - GEOMETRY, show work plz
Answer:
1. Slope is 3/2
2. Slope is -2/3
3. Slope is 3/2
Step-by-step explanation:
Plz mark as Brainliest!
Answer:
Step-by-step explanation:
(-8-4)/(5+3)= -12/8= -3/2
perp. 2/3
y - 4 = 2/3(x + 3)
y - 4 = 2/3x + 2
y = 2/3x + 6
y - 4 = -3/2(x + 3)
y - 8/2 = -3/2x - 9/2
y = -3/2x - 1/2
Which equation is parallel to a line with a slope of 2 and passes through (2, -1)
Answer:
y=2x-5
Step-by-step explanation:
Mars is about 35,000,000 miles away from earth. If the moon is 250,000 miles away from earth, about how many times further is Mars?
Answer:
mars is 140 times farther than the moon
Step-by-step explanation:
hope this helped :-)
Why does the government issue only bonds, while companies issue both stocks and bonds?
a. The US government does not involve itself in the stock market because it does not want to risk
losing money if there should ever be a crash in the stock market.
Because the stock market is used as a form of gambling, the government refuses to associated
itself with the stock market as a way to discourage gambling.
Stock in a company gives the holder part-ownership of the company, with voting rights on big
decisions, and profits when the value goes up. The people already vote on happenings in the
government and inherently have ownership of the government.
d. A stock is a part ownership in a company, and the leaders of the government won't have the people owning the government.
Answer:
the answer is C
Step-by-step explanation:
Hence, option (C) is the correct answer.
What is a stock market?
The term stock market refers to several exchanges in which shares of publicly held companies are bought and sold.
Such financial activities are conducted through formal exchanges and via over-the-counter (OTC) marketplaces that operate under a defined set of regulations.
Stock in a company gives the holder part-ownership of the company, with voting rights on big decisions, and profits when the value goes up.
Hence, option (C) is the correct answer.
To know more about the stock market
https://brainly.com/question/3210355
#SPJ2
Please answer will give brainliest. Also, please check my other questions out I need help!!
Answer: C
Step-by-step explanation:
Select steps that could be used to solve the equation 1 + 3x = -x + 4.
A.subtract 1, add x, divide by 4
B.add x, subtract 4, divide by 4
C.add x, subtract 1, divide by 4
D.subtract 3x, subtract 4, divide by -4
E.subtract 3x, subtract 4, divide by 4
(More than one answer)
Answer:
A, C & D
Step-by-step explanation:
A) 1 + 3x = -x + 4 {subtract 1}
1 + 3x -1 = -x + 4 - 1
3x = -x + 3 {add x}
3x + x = -x + 3 + x
4x = 3 {Divide by 4}
4x/x = 3/4
x = 3/4
C) 1 + 3x = -x +4 {Add x}
1+ 3x + x = - x +4 + x
1 + 4x = 4 {subtract 1}
4x = 4 - 1
4x = 3 {Divide by 4}
D) 1 + 3x = -x + 4 { Subtract 3x}
1 = -x + 4 -3x
1 = -4x + 4 Subtract 4}
1 - 4 = -4x
-3 = -4x {Divide by -4}
-3/-4 = x
x = 3/4
x = 3/4
Angie and Kenny play online video games. Angie buys 1 software package and 1month of gameplay. Kenny buys 1 software package and 2 months of game play. Each software package costs $30. If their total cost is $90, what is the cost of one month of gameplay?
Answer: $10
Step-by-step explanation:
Angie buys = 1 software package and 1month of gameplay.
Kenny buys = 1 software package and 2 months of game play.
Cost of each software package = $30. Total cost = $90
The total cost is the addition of what Kenny and Angie bought. This will be:
(1 SF + 1 G) + (1 SF + 2 G) = 90
where,
SF = software package = 30
G = game
(1 SF + 1 G) + (1 SF + 2 G) = 90
30 + 1G + 30 + 2G = 90
60 + 3G = 90
3G = 90 - 60
3G = 30
G = 30/3
G = 10
One month of game play cost $10
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Work out, giving your answer in its simplest form:
5/
14
x
7/
30
A hospital bill is estimated to be $480.00. It ends up actually costing the patient $524.50. What is the percent of error in the bill? Round to the nearest tenths place.
Answer: 8.484%
Step-by-step explanation:
The formula for percentage error is calculated as:
= (actual value observed - expected value) / expected value × 100
where,
Actual value observed = $480.00
Expected value = $524.50
Percent error = ($480.00 - $524.50)/$524.50 × 100
= -$44.50/$524.50 × 100
= -0.08484 × 100
= -8.484
= 8.484%
3g - 5 = 17
Help plz
Answer:
g = 7 1/3
Step-by-step explanation:
Add 5 to both sides so it cancels out. 3g = 22Divide both sides by 3. g = 7.333...7.333... and 7 1/3 are equivalent, so just put either one.
what is the restriction in the determining if the given equation is a polynomial?
Answer:
Polynomials are formed from sums of power functions – with one restriction. The restriction is that the powers must be non-negative integers – simple numbers like 0, 1, 2, 3, etc.
Step-by-step explanation:
Alinehasaslopeof 1/3 anda y-intercept of –5What isitsequationin slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = \frac{1}{3}x - 5[/tex]
Step-by-step explanation:
Given
[tex]slope\ (m) = \frac{1}{3}[/tex]
[tex]y\ intercept = -5[/tex]
Required
Determine the line equation in slope intercept
The equation of a line in slope intercept is:
[tex]y = mx + b[/tex]
Where
[tex]m = slope = \frac{1}{3}[/tex]
[tex]b = y\ intercept = -5[/tex]
So, [tex]y = mx + b[/tex] becomes
[tex]y = \frac{1}{3}x - 5[/tex]
Find the slope of the line that passes through the points (5,9) and (2,7).
Answer:
-2/3
Step-by-step explanation:
y2-y1 over x2-x1
what is 2+2 and what is your favorite song?
Answer:
2+2=4 and my fave song is blood in the water
Step-by-step explanation:
Mark Deathshot brainliest
Answer:
4 and i see a dreamer
Step-by-step explanation:
72 more females than males are enrolled in Archimedes High school. 60% of the students are female. What is the number of male students that are enrolled?
Answer:
115.2
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
https://www.algebra.com/algebra/homework/Percentage-and-ratio-word-problems/Percentage-and-ratio-word-problems.faq.question.32852.html
help i’ll give brainliest if it’s right
Answer:
C
Step-by-step explanation:
HELP PLEASE!!! STATISTICS
Answer:
its b
Step-by-step explanation:
its b i for some reason got it right
Avi uses a 3.5-m
ladder to climb up
to his tree house.
The foot of the
ladder is 0.8 m
from the tree. How
far
up
the tree does
the ladder reach?
what the number 820.681 in expanded form using powers of 10
Answer:
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Step-by-step explanation:
[tex]820.681 = 8 \times 100 + 2 \times 10 + 6 \times 0.1 + 8 \times 0.01 + 1 \times 0.001[/tex]
[tex]820.681 = 8 \times 10^2 + 2 \times 10^1 + 6 \times 10^{-1} + 8 \times 10^{-2} + 1 \times 10^{-3}[/tex]
Sydney is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.25. Sydney spent $24.25 altogether at the carnival and the number of rides she went on is 3 more than the number of games she played. Determine the number of games Sydney played and the number of rides Sydney went on
Answer:
8 rides and 5 games
Step-by-step explanation:
2.25x+1.25y=24.25 2.25(8)+1.25(5)=24.25 18+6.25=24.25
What is the image of (−8,2) after a reflection over the y-axis?
Answer:
8, -2
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
9. Perpendicular
10. neither
11. Perpendicular
12. neither
Step-by-step explanation:
------------------
Slope Intercept Form: y = mx + b
* M is the slope
* B is the y intercept
------------------
Lines are parallel if they have the same slope (ex. If two equations have a slope of 2)
Lines are perpendicular if they have the opposite and the reciprocal slope (ex. If 1 equation has a slope of 3 and another equation has a slope of - [tex]\frac{1}{3}[/tex] )
------------------
9. Perpendicular: The slopes are reciprocal of each other and one of them is negative
10. Neither: The lines are not perpendicular because the slopes are both negative
11. Perpendicular: If you plot y=5 it is a horizontal line through 5. If you plot x=-3 it is vertical line through -3. These lines intercept and are perpendicular.
12. Neither: The slopes of both equations need to be the same to be parallel
Put both equations into y=mx+by = 1/2x -2 AND y = -1/2x -2what is 2(u-3)=6u+10
Answer: =-4
Step-by-step explanation: