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).
You purchase 3 items for $4.23. About how much did you spend?
$15
$10
$12
$13
Answer
13
Step-by-step explanation:
4+4+4=12+.23+.23+.23=12.69 and round up to 13
2x+5y=-62x+5y=−6 Determine the intercepts of the line
Answer:
(0,-6/5)
(X,Y)
Step-by-step explanation: MARK BRAINLIEST
Answer:
(-3,0) (0,-1.2)
Step-by-step explanation:
Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smoothies were either banana strawberry?
Answer:
11/12
Step-by-step explanation:
Fraction of smoothie that is Banana = 1/4
Fraction of smoothie that is strawberry = 2/3
The fraction of smoothies that were either banana or strawberry
= 1/4 + 2/3
Least Common Denominator= 12
= (3 × 1 + 2 × 4)/12
= 3 + 8/12
= 11/12
The fraction of smoothies were either banana or strawberry is 11/12
Find the slope of the line. Explain or show your reasoning.
Write an equation for the line.
Find the values for and . Explain or show your reasoning.
Isaiah and Cooper work at a dry cleaners ironing shirts. Isaiah can iron 25 shirts per hour, and Cooper can iron 30 shirts per hour. Cooper worked twice as many hours as Isaiah and they ironed 340 shirts between them. Write a system of equations that could be used to determine the number of hours Isaiah worked and the number of hours Cooper worked. Define the variables that you use to write the system.
Answer:
See Explanation
Step-by-step explanation:
[tex]25x + 30y = 340\\y = 2x\\[/tex]
x=number of hours Isaiah worked.
y=number of hours Cooper worked
THIS IS MY 4TH TIME POSTING THIS (I did it on my other account )Abby has just started training for a marathon. She ran 15 miles in total during her first week of training. She wants to add an additional 2 miles to her weekly total during each subsequent week. Write an explicit rule for the arithmetic sequence that represents this situation, and use it to find how many miles Abby will run during her twelfth week of training.
Please show work for full credit
Answer:
She will run 202 miles in 12 wks.
Step-by-step explanation:
y = 17x + 15
15 represents the # of miles she ran in the first week.
17 represents the amount of miles she will run each week
x represents the # of weeks
y = the total # of miles in 12 weeks.
To solve plug in 11 for x since she ran 15 miles the first week she has 11 more to go.
y = 17(11) + 15
y = 187 + 15
y = 202
Hope this helps!
202 miles Abby will run during her twelfth week of training.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the number of weeks she walk x.
As she ran15 miles in the first week.
and, she run 17 miles in each week.
let y be the total of miles in 12 weeks.
Then, the equation can be
y = 17x + 15
y = 17(11) + 15
y = 187 + 15
y = 202
Hence, 202 miles Abby will run during her twelfth week of training.
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Investors buy a studio apartment for $120,000. Of this amount, they have a down payment of $12,000 . Their down payment is what percent of the purchase price? What percent of the purchase price would a $42,000 down payment be?
Answer:
The percentage for both the cases would be 100% and 35% respectively
Step-by-step explanation:
The computation of the percentage of down payment to the purchase price would be:
In the first case, the percentage would be
= Down payment ÷ Total amount
= $12,000 ÷ $120,000
= 100%
For the second case, the percentage would be
= Down payment ÷ Total amount
= $42,000 ÷ $120,000
= 35%
The percentage for both the cases would be 100% and 35% respectively
Help me out pleaseeeeee
Answer:
A
Step-by-step explanation:
LCM of 5 and 3 is 15
thus, denominator is 15
2/5 = 2x3/5x3 = 6/15
1/3 = 1x5/3x5 = 5/15
Find the slope of the line passing through each of the following pairs of points.
(0, 7), (0, −8)
Answer:
holy, thats hard, I will try to do it for you
Step-by-step explanation:
- х= -у
6x - бу = 12
I need to find if it’s a substitution or elimination equation and step by step
Just by looking at this question, I say there is no solution because these two equations do not touch or meet on the xy-plane.
- х= -у.........A
6x - бу = 12.........B
Solve A for x.
-x = - y
Divide both sides by negative 1.
Doing so, we get x = y. Plug this into B.
6x - 6y = 12
6(y) - 6y = 12
The left side becomes zero.
0 = 12 is a false statement.
Answer: There is no solution to this system of
equations in two variables.
Understand?
In ARST, mZR = (5x – 11)", mZS = (3x – 3)°, and m_T = (3x + 18)º.
Find mZR.
Answer:
m∠R = 69
Step-by-step explanation:
m∠R + m∠S + m∠T = 180 {Angle sum property of triangle}
5x - 11 + 3x - 3 + 3x + 18 = 180
5x + 3x + 3x - 11 - 3 + 18 = 180 {Combine like terms}
11x +4 = 180
11x = 180 - 4
11x = 176
x = 176/11
x = 16
m∠R = 5x - 11
= 5*16 - 11
= 80 - 11
m∠R = 69
PLEEAASESEEE HEELLPPPP
Answer:
9
Step-by-step explanation:
= x + 16° + x + 3° =5x - 8°[ Sum of two interior angles is equal to the exterior angle]
or, 2x + 19 = 5x - 8
or, 19 + 8 = 5x - 2x
or, 27 = 3x
or, x = 27/3
☆ x= 9
Hey everyone! I was just browsing around on google, and found this is the hardest question ever...
Is there anything you know you should let go of, but you haven’t yet? Why?
Can Brainly answer it?! I guess time will tell! Also, first gets branliest!
(NO WASTING MY POINTS EITHER)
Answer: Yes my bestfriend
Step-by-step explanation:
Answer:
yes, that fact that i think im smart and that others think im smart too XD im rly dum, i hate school, my brain hurts all the time, and my dyslexia isn't helping at all. being in online school is very difficult for me cuz im not learning anything im just getting my work done (sometimes) and trying to get through the day.
It costs $26 to join Gym X, plus an additional $33 per month. It
costs $59 to join Gym Y, plus an additional $30 per month.
After how many months of membership would it cost the
same to belong to either gym?
PLEASEE HELP !
8 months
Step-by-step explanation:
If triangle DEF is an isosceles triangle with DE is congruent to EF, find x and the measure of each side
Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm
HELP ASAP I HAVE TO GET IT DONE!!
Solve for x in the diagram below
I need help ASAP!!!!!
Write the equation of the line in slope intercept form that has the given slope and the y-intercept
4). m=2;y-intercept is -6
5). m= -1; y-intercept is 3
6). m= -1/3; y-intercept is -1
Answer:
4). y= 2x - 6
5). y= -1x + 3
6). y= -1/3x - 1
The selling price of an item is $480. It is marked down by 10%, but this sale price is still marked up from the cost of $360. Find the markup from cost to sale price.
Answer:
72
Step-by-step explanation:
i just know it
If the selling price of an item is $480. It is marked down by 10%, but this sale price is still marked up from the cost of $360.Then 72 is the markup from cost to sale price
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
The selling price of an item is $480
It is marked down by 10%, but this sale price is still marked up from the cost of $360
We need to find 10% of 480
10/100=0.1
0.1×480=48
48 is the 10% of 480
Now subtract 48 from 480
480-48
432
Now subtract 360 from 432
432-360
72
Hence 72 is markup from cost to sale price
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What would be the missing angels
Answer:
X=51
y=39
Step-by-step explanation:
x=90-39=51
y=90-51=39
Need help will mark brainliest
Answer:
Step-by-step explanation:
a. RG=36 since RG=2(RT)
b.
4x+12=10x-15 Since RG and HI are equivalent
12=6x-15 Subtract 4x from both sides
27=6x Add 15 to both sides
4.5=x Divide by 6 on both sides
to double check:
4(4.5)+12=30
10(4.5)-15= 30
so x=4.5
Using the table, find the average rate of change between x=−1 and x = 2.
x three * 101 three = 2001012three
PLEASE HELP WITH ALEGBRA I WILL GIVE BRAINLIEST
use distributive property to factor the expression
how do i do this if the first is -4 and the second is 4?
−4m − 4y
Answer:
4(-m - y)
Explanation:
Variables can be negative.
GIVING BRAINLIEST!!
Graph the solution of 2x + 3 <3.
Answer:
Open dot to the left. Dot on zero.
Step-by-step explanation:
Answer:
I hope this helps!
I would really appreciate some help... branliest to whoever can
Answer:
1. 6 to the power of 8
2. 9765625
3. 2 to the power of 4
4. 1296
5. I do not know 5 sorry.
6. 117649
Step-by-step explanation:
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
A) 332
B) 2988
C) 2656
D) 705
Answer:
332
Step-by-step explanation:
Since there is a ratio of 9:8 (women to men), the total should be 17. So even if there were 81 women and 72 men, the total ratio should still be 17. (In simplifiest form.)
So, 5,644 divided by 17=332
Since 9 is 1 more than 8, there are 332 more women than men.
Hope this made sense! I wasn't sure how to explain this.
Answer:
332
Step-by-step explanation:
I need this answer ACAP, please! (Marta likes to make soup during the winter months. No matter how much soup she makes, she always freezes 32 ounces to save for later, then serves what's left).
60 divided by 32
60 plus 32
60 times 32
60 minus 32
Which one?
Answer:
60 minus 32
Step-by-step explanation:
Since she freezes 32 ozs everytime, shes taking away 32 oz, so your bassicaly losing 32 ozs temperorily.
Sarah used 2.5 cups of cheese in a dish that serves 10 people. Many used 1.6 cups of cheese ina dish that serves 8 people. How much cheese is in one serving of Sarah's dish?
Answer:
Sarah has. 25 cups in each serving. Amy has. 2 cups in each serving. Sarah is. 05 more than Amy.
Step-by-step explanation:
If h(x) = -3х – 10, find h(-3). (1 point) - 19 ООО 1
Answer:
h(-3) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(x) = -3x - 10
h(-3) is x = -3
Step 2: Evaluate
Substitute: h(-3) = -3(-3) - 10Multiply: h(-3) = 9 - 10Subtract: h(-3) = -1what is 22)572 please someone come help me
Answer:
0.03846153846
Step-by-step explanation:
Answer: 1/26 or 0.0384615
Step-by-step explanation: You Have To Figure Out How Many Times 22 can go into 57 The Answer is 2 leaving 13 bring down the 2 it makes 132 22 times 6 = 132 so the answer is 1/26.