Answer:
If both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
Step-by-step explanation:
The information provided is as follows:
Kelsey buys several pairs of uniform pants for $17.95 each, and a sweater for $24. Jeana shops at a different store and buys several pairs of uniform pants for $18.95 each, plus a sweater for $18.The variable x is the number of pairs of pants.
The total cost function for Kelsey will be:
[tex]TC_{K}=17.95\cdot x+24[/tex]
The total cost function for Jeana will be:
[tex]TC_{J}=18.95\cdot x+18[/tex]
Consider that both pay the same total cost for their purchases.
Compute the value of x as follows:
[tex]TC_{K}=TC_{J}[/tex]
[tex]17.95\cdot x+24=18.95\cdot x+18\\\\18.95\cdot x-17.95\cdot x=24-18\\\\x=6[/tex]
Thus, if both Kelsey and Jeana purchase 6 pairs of uniform pants then they would pay the same amount for their purchases.
The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
Expression for the rate of change of the area with respect to time will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second
It's given in the question,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[tex]\sqrt{t}[/tex] cm
Area of the rectangle is given by,
Area = Length × Height
A = (6t + 5)(√t)
A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]
Now find the derivative of area (A) with respect to time (t).
[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]
A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Therefore, expression for the rate of change of the area will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Learn more,
https://brainly.com/question/12596049?
For each set of angle measurements, determine if they would form a triangle (Answer YES or NO for
each)
1. 120, 50, 10
2. 100, 91. 25
3. 90, 60, 30
4. 77, 54, 49
5. 177. 2,1
Answer:
1. yes
2. no
3. yes
4. yes
5. yes
Step-by-step explanation:
All triangles have 3 angle measurements that add up to 180
I did these all mentally so do double check :)
SOME 1 HELP WITH 11 PLZZZZ
Answer: Tiffany got 45 questions right! Hope this helped.
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
PLSS!!!! HELP!!! ME I WILL MARK U!!!!
Answer:
562
Step-by-step explanation:
Plug in the values of x, y, and z provided.
(5(5)-1)^2-2(7)
Solve.
(25-1)^2-14
(24)^2-14
576-14
562
Answer: 562
Step-by-step explanation:
(5x+y)^2-2z
first put in the known values. (5(5)+(-1))^2-2(7)
(25+-1)^2-14
Second, do 25+-1=24
(24)^2-14
Third, do 24 squared
576-14
Subtract
562
Solve the system of equation
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
Multiply 2.89x 23.2 =
Square ABCD has vertices A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4). What is the area of square ABCD?
Answer:
that answer is b
Step-by-step explanation:
hope this helps
The area of square ABCD would be; 64 unit sq.
What is the distance between two points ( p,q) and (x,y)?The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
D = √[(x-p)² + (y-q)²] units.
Given that Square ABCD has vertices; A(-4.5, 4), B(3.5, 4),C(3.5, -4), and D(-4.5, -4).
To find the distance from two of the vertices of the square. The distance formula is as follows;
√[(x-p)² + (y-q)²]
A(-4.5, 4), B(3.5, 4),
D = √[(x-p)² + (y-q)²]
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(3.5-(-4.5))² +(4 -(4))²
D = √(64 + 0)
D = 8
Therefore, the side of the square is 8 units.
The area of the square = side x side
= 8 x 8
= 64 unit sq.
Learn more about distance between two points here:
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#SPJ2
What is the Y-intercept and The slope of the equation?
2x+7y=14
Can someone please help me with this!!!
Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9
Y-intercept choices
A. 2
B. 7
C. -2
D. 0
Answer:
Slope = -2/7; Y intercept = +2
Step-by-step explanation:
First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:
y = mx + b
Here's how:
[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]
The above shows this equation in slope intercept form: y = -2/7x + 2.
The slope of this line is -2/7 while the y intercept is 2!
*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!
Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3
23.79 divided by 3 estimate
Answer:
Answer: 7.93
Estimate: 8
Answer: 7.93, or to the nearest tenths, 7.9
help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*
Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?
a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g
Answer:
C. 45 + 7h = g
Step-by-step explanation:
This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.
Example:
Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.
45 + 7(3) = g
Now you just have to solve the equation.
45 + 21 = g
Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.
g = 66
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.
Answer:
10+(-4)=6
Step-by-step explanation:
Answer:
-4 + 10
Step-by-step explanation:
Valerie is going to purchase a new car. The car she wants has a list price of $32,495. Valerie is planning to make a
down payment of $1,877. Furthermore, she plans to trade in her current car, which is a 2006 Hyundai Sonata in good
condition. She will finance the rest of the cost by making monthly payments over five years. She can finance the cost
at a rate of 8.64%, compounded monthly. She will also have to pay 8.23% sales tax, a $2,243 vehicle registration fee,
and a $314 documentation fee. If the dealer gives Valerie 87.5% of the trade-in price on her car, listed below,
approximately how much will Valerie pay in total for her new car? (Round all dollar values to the nearest cent, and
consider the trade-in to be a reduction in the amount paid.)
OPEN TOP TO SEE ANSWER!!!!
Answer:
B). $38,821
Step-by-step explanation:
By using several of the known mathematical formulas, and what is given to us at the very bottom (and top) of the answer, we can see that the correct answer is
$38,821
on e2020
The total amount that Valerie will pay for her new car is $35,899.87.
Online Finance CalculatorWe can use an online finance calculator to compute the total amount that Valerie will pay for her new car as follows:
Data and Calculations:Auto Price = $32,495
Loan Term = 60 months (12 x 5)
Interest Rate = 8.64%
Down Payment = $1,877
Trade-in Value = $28,433 ($32,495 x 87.5%)
Sales Tax = 8.23%
Title, Registration and Other Fees = $2,557 ($2,243 + $314)
Calculate
Monthly Pay: = $44.98
Total Loan Amount = $2,185.00
Sale Tax = $334.30
Upfront Payment = $4,768.30
Total of 60 Loan Payments = $2,698.57
Total Loan Interest = $513.57
Total Cost (price, interest, tax, fees) = $35,899.87
Thus, the total amount that Valerie will pay for her new car is $35,899.87.
Learn more about financing a car purchase at https://brainly.com/question/20566521
Please answer this.. please
Jordan invested $97,000 in an account paying an interest rate of 1.6% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $109,700?
Answer:
t≈ 8
Step-by-step explanation:
\text{Compounded Monthly:}
Compounded Monthly:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=109700\hspace{35px}P=97000\hspace{35px}r=0.016\hspace{35px}n=12
A=109700P=97000r=0.016n=12
Given values
109700=
109700=
\,\,97000\left(1+\frac{0.016}{12}\right)^{12t}
97000(1+
12
0.016
)
12t
Plug in values
109700=
109700=
\,\,97000(1.0013333)^{12t}
97000(1.0013333)
12t
Simplify
\frac{109700}{97000}=
97000
109700
=
\,\,\frac{97000(1.0013333)^{12t}}{97000}
97000
97000(1.0013333)
12t
Divide by 97000
1.1309278=
1.1309278=
\,\,1.0013333^{12t}
1.0013333
12t
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\log\left(1.0013333^{\color{blue}{12t}}\right)
log(1.0013333
12t
)
Take the log of both sides
\log\left(1.1309278\right)=
log(1.1309278)=
\,\,\color{blue}{12t}\log\left(1.0013333\right)
12tlog(1.0013333)
Bring exponent to the front
\frac{\log\left(1.1309278\right)}{\log\left(1.0013333\right)}=
log(1.0013333)
log(1.1309278)
=
\,\,\frac{12t\log\left(1.0013333\right)}{\log\left(1.0013333\right)}
log(1.0013333)
12tlog(1.0013333)
Divide both sides by log(1.0013333)
92.3402971=
92.3402971=
\,\,12t
12t
Use calculator
\frac{92.3402971}{12}=
12
92.3402971
=
\,\,\frac{12t}{12}
12
12t
Divide by 12
7.6950248=
7.6950248=
\,\,t
t
the floor of a room is in the shape of a square of side 4.8m. the floor is to be covered with square tiles of perimeter 1.2m. Find the cost of covering the floor if each tile costs rupees 27
Answer:
the room square side is 4.8m
Area of the room is= 4.8=²23.04²m
perimeter of square tiles=4a =1.2
a=1.2/4
or a=o.3m
area of the square tiles =0.3²=0.09m²
numbers of the tiles are rcover floor of the room
23.0.4/0.09=256
each tiles cost Rs 27
the total cost=256*27=6912
the th coalst cover by the th floor is Rs .6912
What does the graph look like for y=2x-3
Answer:
It will have a y-intercept of -3 and a rise of 2 and a run of 1.
Step-by-step explanation:
We can use a graphing calculator to help us graph for y = 2x - 3.
Attached below is the graph.
18. The price of a pair of shoes was $65. Then, the price was reduced to $52..
Find the percent decrease in the price of the shoes.
(a) 30%
(b) 13% (c) 5%
(d) 25%
(e) none of these
Please show the work
Answer:
13.
Step-by-step explanation:
65-52=13
evaluate the expression when a=32 and b=7 a/4 +b
12. A worker can pack 72 boxes of oranges in 2 hours. At this rate, how many boxes of oranges can she pack
in 8 hours?
50 points plus Brainnlest for right answer
What is the equation?
What should you replace for each given variable?
What should you solve for?
Equations: 60x + 3000 = 3,000, 600 + 150y = 3000
X: 20
Y: 10
You should solve for x & y
Q1: 0, it's already filled up to the max of 3000 pounds.
Q2: 16, 60 times 10 is 600. 3000-600 = 2400. 2400/150 = 16
I hope this helped, ask if you need more help :)
(14+13n+3n^3)+(2+4n+9n^3)
Answer:
=12n3+17n+16
i hope this helps :)
help plz ive been stuck on this for a while now
Answer:1.20/5
Step-by-step explanation:
Answer:
9/10 or in decimal form 0.9
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Answer:
see below
Step-by-step explanation:
y = -5x– 1
y = -5x + 7
Since they are both equal to y, we can set them equal to each other
-5x-1 = -5x+7
Add 5x to each side
-5x-1+5x= -5x+7+5x
-1 = 7
This is not true so there is no solution
The lines are parallel with different y intercepts
Which equation represents a line that passes through the 2 points in the table
Answer:
A
Step-by-step explanation:
I took the test
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
help asap
show work
i will make u brainlest.
Answer:
1. A
2. D
3. A
4. A
Step-by-step explanation:
Question 1:
Switch sides:
5(5 + 4v) > 105
Divide both sides by 5:
5(5 + 4v) / 5 > 105/5
Simplify:
5 + 4v > 21
Subtract 5 from both sides:
5 + 4v - 5 > 21 - 5
Simplify:
4v > 16
Divide both sides by 4:
4v/4 > 16/4
Simplify:
v>4
Question 2:
Expand:
5m - 3m - 6 < 24 - 3m
Add similar elements:
2m - 6 < 24 - 3m
Add 6 to both sides:
2m - 6 + 6 < 24 - 3m + 6
Simplify:
2m < -3m +30
Add 3m to both sides and simplify:
5m < 30
Divide both sides by 5:
5m/5 < 30/5
Simplify:
m<6
Question 3:
Expand:
18x + 12 ≤ -39 + x
Subtract 12 from both sides and simplify:
18x ≤ x - 51
Subtract x from both sides and simplify:
17x ≤ -51
Divide both sides by 17 and simplify:
x ≤ -3
Question 4:
Add similar elements:
-3m + 5m = 2m
Expand and simplify:
2m ≥ -12m
Add 12m to both sides and simplify:
14m ≥ 0
Divide both sides by 14 and simplify:
m ≥ 0
Please help me I got a bad grade and I need to redo them
Find the slope
Answer:
The first one has a slope of 4
The second one has a slope of 0.3 repeating
Step-by-step explanation:
You pick two points on the graph.
You find the x and y coordinates of each point.
You find the difference between the two x coordinates.
You find the difference between the two y coordinates.
Divide the difference in the y coordinates by the x coordinates.
If im wrong sorry owo im only in elementary school... <3
Answer:
4/6
Step-by-step explanation: