Elizabeth recently bought a new bike, and she has started biking to and from work. The
round-trip distance is 9 kilometers.
Write an equation that shows the relationship between the number of round trips, x, and
the total number of kilometers Elizabeth has biked, y.
Answer:
the answer is 9x
Step-by-step explanation:
y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that,
Elizabeth recently bought a new bike, and she has started biking to and from work.
The round-trip distance is 9 kilometers.
We need to find an equation that shows the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
y=9x
Hence y=9x is the relationship between the number of round trips, x, and the total number of kilometers Elizabeth has biked, y.
To learn more on Equation:
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8
There are 5 times as many pens in box A as in box B.
Teddy moves 82 pens
from box A to box B.
Both boxes now have the same number of
pens.
How many pens are in box A now?
Answer:
123 pens in Box A
Step-by-step explanation:
To solve this we will rewrite the word problem as an equation...
5x (A)
x (B)
When Teddy moves 82 pens from A to B, he is subtracting 82 pens from Box A and adding 82 pens to Box B...
5x - 82 (Change in Box A - subtraction)
x + 82 (Change in Box B - addition)
The problem now states that Box A and Box B are equal...
5x - 82 = x + 82
--- subtract x from both sides ---
4x - 82 = 82
--- add 82 to both sides ---
4x = 164
--- divide both sides by 4 ---
x = 41 pens
Now, we replace the x in the expression "5x - 82" with 41...
5(41) - 82 = 205 - 82
205 - 82 = 123
123 pens in Box A
Hope this Helps!
solve the system of equations by graphing.
3x + y = -4
x - 2y = -6
Answer:
(-2,2)
Step-by-step explanation:
Veronica has two offers for a $65,000 student loan. The first loan has a 6.3% interest rate for 15 years, and the second loan has a 4.8% interest rate for 20 years. Both loans have interest compounded every month. Veronica is interested in finding the loan that minimizes the amount of interest that she will pay over the life of the loan. Which loan has a lower amount of interest paid?
The second option has a lower amount of interest paid.
In order to determine the loan option that minimizes loan payment, the future value of both loan options has to be determined.
FV = P (1 + r)^nm
FV = Future value
P = Present value
R = interest rate
m = number of compounding
N = number of years
First loan option
65000( 1 + 0.063/12)^300 = 312,707.21
Second loan option
65000( 1 + 0.048/12)^240 = 169,435.51
A similar question was answered here: https://brainly.com/question/23082103
What is the probability of rolling a number greater than 7 on a 6-sided die rolled
PLEASE HELPPP!! I need help with both questions
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Answer:
borrow: $21,056.60interest: $1,983.40Step-by-step explanation:
The relation between the monthly payment (A) and the principal borrowed (P) is ...
A = P(r/12)/(1 -(1 +r/12)^-n)
where the annual interest rate is r and n is the number of monthly payments.
Then the principal P can be found as ...
P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount
The sum of payments is ...
$384 × 60 = $23,040.
The difference between the payments made and the loan principal amount is the interest paid:
$23,040.00 -21,056.60 = $1,983.40 . . . total interest
Find the equation of the exponential function represented by the table below:
x y
0 0.01
1 0.03
2 0.09
3 0.27
y=
Answer:
y = 0.01(3ˣ)
Step-by-step explanation:
Gina has 48 stickers 3/8 are flowers, 1/8 were plants, how many are people
Answer:
Hello!
Judging by the question you have provided I have deduced that the correct answer is:
24 people
Step-by-step explanation:
To come across this answer I assumed that [tex]\frac{3}{8}[/tex] of the stickers are flowers, [tex]\frac{1}{8}[/tex] of the stickers are plants, and the wrest of the stickers are people.
I then realized that I could look at the equation this way:
If we already know how many stickers are not people, we can then add up the amount of stickers we know are not people, and then subtract that amount from the total amount of stickers to figure out how many left can be people!
Which in this case would be:
[tex]\frac{3}{8}[/tex] (not people)+ [tex]\frac{1}{8}[/tex] (not people) = [tex]\frac{4}{8}[/tex] stickers that are not people, or if simplified [tex]\frac{1}{2}[/tex] or half of the total number of stickers.
We now know that half of the stickers are not people, so thus we can deduce that the other half of the stickers are people.
And half of 48 is:
24
Thus, 24 stickers are people!
And the other 24 have to be flowers and plants!
5/7 times 7/8 in simple form
Answer:
609
Step-by-stepStep-by-step explanation:
nope
solve pls brainliest
Answer:
23.4
Step-by-step explanation:
23.4
Answer:
23.40
Step-by-step explanation:
Find the values of p and q so that (-2,5) is the midpoint of the segments joining points (p,p+q) and (p+4, 3q+6)
Answer:
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) and ( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
midpoint is ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
~~~~~~~~~~~~~
( p , p + q )
( p + 4 , 3q + 6 )
( p + p + 4 ) ÷ 2 = - 2
p = - 4
( - 4 + q + 3q + 6 ) ÷ 2 = 5
2q = 4
q = 2
The graphs show information about the different journeys of 4 people.
a)
Which graph shows a person running then walking?
b)
Which graph shows a person who forgot something
and had to return home?
Answer:
A) b
B) c
Step-by-step explanation:
A) a large distance is covered in a short period of time but then the speed decreases
B) the person travels some distance but then returns to their starting point for a while(their home) and then starts on their journey again
6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.
Answer: 1.075s
Step-by-step explanation:
s*175/100=1.075s
Lin father is paying for a 20 meal he has a 15 off coupon for the meal what is the total after the discount
Answer:
3
Step-by-step explanation:
20÷100=0.2
0.2×15=3
:)
Answer:
Lin's father would pay $17 for his meal.
Step-by-step explanation:
15*20 = 300
300/100 = 3
20 - 3 = 17
Suppose that the universal set U is the set of all even integers from 1 to 16 inclusively and A={2,4,8,16}. Find Ac by using a Venn diagram.
Answer:
Correct answer is {6,10,12,14}
Step-by-step explanation:
There is a 0.9968 probability that a randomly selected 50 year old female lives through the year (based on data from the US department of Health and Human Services). A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
-------------------
A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
----
Ans: -226 ; 50,000-226 = 49774
-------------------------
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
----
E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
==================================================
Cheers,
ROR
the equation 2x^2+5kx+k=0, where k is a constant has no real roots. Find possible values of k
Step-by-step explanation:
What do you mean "no real roots" ?
if I understand correctly we have
2x² + 5kx + k = 0
the solutions for such a quadratic equating are
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 2
b = 5k
c = k
so, we get
x = (-5k ± sqrt(25k² - 8k))/4
why would that have no real solutions ?
e.g. k = 2
x = (-10 ± sqrt(100 - 16))/4 = (-10 ± sqrt(84))/4
since the sqrt is a little bit bigger than 9 we get 2 negative solutions for x. but still real.
I don't understand what your need here.
Convert fractions into percents
1/16= __
Answer:
160%
Step-by-step explanation:
Multiply both numerator and denominator by 100. 1.6 × 100100.
= (1.6 × 100) × 1100 = 160100.
Write in percentage notation: 160%
Một người tiêu dùng có thu nhập I = 1.200 đ dùng để mua hai sản phẩm X và Y với giá tương ứng là PX = 100đ/sp và PY = 300đ/sp. Mức thoả mãn được thể hiện qua hàm số:
TUX = -1/3X2 + 10X
TUY = -1/2Y2 + 20Y
a. Hãy xác định phương án tiêu dùng tối ưu của người này?
b. Tính tổng hữu dụng tương ứng đạt được?
gak bisa bahasa inggris.
Step-by-step explanation:
maap.
Rewrite as equivalent rational expressions with denominator (5c+9)(c−3)(c−8): 8/5c2−6c−27,2c/5c2−31c−72
Rational expressions are expressions that can be represented as a quotient
The equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
The expression is given as:
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex]
Expand the numerator as follows
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c \times c -5c \times 3 + 9\times c -9 \times 3)}{c - 8}}[/tex]
Multiply the factors on the numerator
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -15c+ 9c -27)}{c - 8}}[/tex]
Collect and evaluate like terms
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{(5c^2 -6c-27)}{c - 8}}[/tex]
Remove the brackets
[tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8} = \frac{5c^2 -6c-27}{c - 8}}[/tex]
This means that:
[tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex] and the given expression [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] are equivalent
Hence, the equivalent rational expression of [tex]\mathbf{\frac{(5c + 9)(c - 3)}{c - 8}}[/tex] is [tex]\mathbf{\frac{5c^2 -6c-27}{c - 8}}[/tex]
Read more about rational expressions at:
https://brainly.com/question/25292194
please help me i’ll give brainlist and points
Answer:
Area solution
Step-by-step explanation:
A=(16+10)×12/2= 156 m^2
Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?
Answer:
.25
Step-by-step explanation:
The sum of two numbers is right one number is for less than the number find the numbers
Step-by-step explanation:
you made a lot of typos in the text.
I assume your meant the following :
the sum of two numbers is eight.
one number is four less than the other number.
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
Need help!! Answer asap!! No links! What is the most likely reason that nonmetals are electrical insulators?
A. Since valence shells are mostly empty in nonmetal atoms, the atoms attract and hold any electrons they can in order to fill their valence shells.
B. Since valence shells in nonmetal atoms are almost full, the atoms attract electrons and hold them tightly to fill their valence shells.
C. Since all nonmetals have valence shells that are full, they hold electrons tightly to avoid changing.
D. Since all nonmetals have valence shells that are completely empty, they do not attract or release any electrons.
Answer:
B. because it just isssssssss I'm typing things to let me answerrr
A bag of marbles consists of 14 blue marbles and 7 red marbles. If you reach into the bag and choose 2 marbles,
what is the probability that they are both blue? Assume the first marble is not replaced.
Answer:
chances are 10.5
Step-by-step explanation:
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book
printed. The total production cost C (in dollars) is given by the function C-550 +15.95N, where N is the number of books,
The total revenue earned (in dollars) from selling the books is given by the function R=31.90N.
Let P be the profit made (in dollars). Write an equation relating P to N. Simplify your answer as much as possible.
Please answer me ASAP I need an answer.
Answer:
P = 15.95N - 550Step-by-step explanation:
The profit is the difference between the revenue and the total cost:
P = R - CSubstitute values:
P = 31.90N - (550 + 15.95N)P = 31.90N - 15.95N - 550P = 15.95N - 550The difference between cost and revenue is profit
P=R-CP=31.90N-(15.95N+550)P=31.90N-15.95N-550P=15.95N-550A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
What is the length of CD, given that figure ABCD is a rectangle?
B
13
С
10
A
D
O A. 26
O B. 10
O C. 13
O D. 20
Answer:
It'll be B.10
Step-by-step explanation:
Rectangles always have 2 side lower than the other2 . BC and AD are same length so they are both 13. BA and CB are the same length to It has to be 10.
Hope this helps :)
thanks i'll mark brainliest
Answer:
m <5=91 is the correct response to this question
(a) Write an equation of the line that passes through the point and is parallel to the given line.
(b) Write an equation of the line that passes through the point and is perpendicular to the given line.
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Answer:
parallel: y = x -1perpendicular: y = -x -3Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
9514 1404 393
Answer:
parallel: y = x -1
perpendicular: y = -x -3
Step-by-step explanation:
The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...
y = x -1 . . . . . equation of parallel line
__
The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1
A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...
y = -x -3 . . . . . equation of perpendicular line
