Jeffrey and Frank walk at different speeds.Frank’s walking speed can be represented by the equation y=85x, where is the time in minutes and y is the distance in meters. The distance Jeffrey walked over the time is shown on the graph below
Answers
Answer:
Option (C)
Option (C)
Option (A)
Step-by-step explanation:
Part A.
Frank's walking speed can be represented by the equation.
Equation representing the speed is,
y = 85x
[tex]\frac{y}{x}=85[/tex]
Therefore, walking speed of Frank = 85 meters per minute.
Option (C) will be the answer.
Part B.
Distance walked over the time by Jeffrey is given by the graph attached.
Equation for the speed will be,
y = [tex](\frac{400}{5})x[/tex]
y = 80x
Therefore, walking speed of Jeffrey = 80 meters per minute
Difference in the speed of Frank and Jeffrey = 85 - 80 = 5 meters per minute.
Jeffery walks 5 meters per minute slower than Frank.
Option (C) will be the answer.
Part (C)
Distance traveled by Frank in 16 minutes,
y = 85(16) = 1360 meters
Time taken to travel the same distance by Jeffrey will be,
1360 = 80x
x = [tex]\frac{1360}{80}=17[/tex] meters per minute
Option (A) will be the answer.
Related Questions
What is the measure of AX, in degrees?
N
6
Х
6
70
у
Answers
Answer:
C
Step-by-step explanation:
Since XY = XZ = 6, then the triangle is isosceles.
The base angles are therefore congruent, that is
∠ Y = ∠ Z = 70°
The sum of the 3 angles in the triangle = 180°, thus
∠ X = 180° - (70 + 70)° = 180° - 140° = 40° → C
To take the best notes in his science class, Jonas should sit next to his friends so they can share notes. near the front so he can see and hear the teacher. in the back of the room so he can watch everything. behind the smartest student so he can copy their notes.
Answers
Answer:
B. sit near the front so he can see and hear the teacher
Answer:
The person on top of me is correct ^
Step-by-step explanation:
Hope this helps! :)
What is the equation of the line in the graph?
Answers
Answer:
Step-by-step explanation:
Angie uses the equation E=0.03s + 25,000 to find her yearly earning E based on her total sales s. What is the independent variable
Answers
Answer:
25000
Step-by-step explanation:
it's independent because it's not related with her total sales s
Find the value of x.
Answers
Answer:
x=3
Step-by-step explanation:
BRAINLIEST plzzzzzzzzzzzzzzzzzz
What is the exponential expression for the numerical expression 14⋅14⋅14⋅14?
144
4⋅144
564
414
Answers
Answer:
144
Step-by-step explanation:
i just did the test
Equations and Inequalities One-Pager
Answers
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answers
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
Solve for the missing angle measures
Answers
Answer:
Set 1 angles a and c are 62
Set 2 angles b and d are 120
Step-by-step explanation:
angle a = angle c = 62
angle b = angle d = 120
Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answers
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
More can be learned about compound interest at https://brainly.com/question/25781328
#SPJ2
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?
Answers
Answer:
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Step-by-step explanation:
System of Equations
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Answer:
5% raisin mix: 800 lbs
20% raisin mix: 200 lbs
Step-by-step explanation:
Let number of 5% be x; and number of 20% be a.
x + y = 1000
5% · x + 20% · y = 8% of 1000 pounds
0.05x + 0.2y = 80
x = 1000 - y
0.05(1000 - y) + 0.2y = 80
50 - 0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
x = 1000 - 200
x = 800
It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?
Answers
3.60
$ 3.60 per gallon
You divide $46.80 by 13 and get your answer ! Hope I helped :)
In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?
Answers
Answer:
$16.08
Step-by-step explanation:
13.75+2.33=16.08
Consider the procedure used below to solve the given equation.
Given: 5(2x - 5) + 2x+8 = 43
Step 1: 10 - 25 + 2 + 8 = 43
Step 2: 12r - 17 = 43
Step 3: 12r = 43 +17
Step 4: 121= 60
Step 5: x=5
Which statement about the solution of the given equation is true?
The first mistake was made in Step 1.
The first mistake was made in Step 2
The first mistake was made in Step 3
Each step is correct.
Answers
Which graph is the solution to the inequality below?
Answers
Answer:
it the third answer
Step-by-step explanation:
3(x-5)< 5x+7
x>-115 and 4/5 as an improper fraction!
ANSWER ASAP! * 10 points *
Answers
Answer:
29/5
Step-by-step explanation:
5 4/5=(25+4)/5
29/5
Hope I helped! Please mark Brainliest!!!
Answer: The answer is [tex]\frac{29}{5}.[/tex]
Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:
Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]
Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]
Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]
Conclusion Step-By-Step Explanation:
Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]
I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Identify all segments that are parallel to XY
A. ST
B. VZ, VW, ST
C. QR, QU
D. VW
Answers
Answer:
a. ST
Step-by-step explanation:
what is 100 times 7 plus 23
Answers
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]
A = p + prt solve for t
Answers
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answers
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
Brainliest! Correct! Fast!
Answers
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
True or False
If an acute angle is 80o then we add the obtuse angle of 110o to equal 180o?
Answers
Answer:
true
Step-by-step explanation:
what is 2/3 divided by 1/2 in fractions
Answers
Answer:
4/3
Step-by-step explanation:
Answer:
the answer is 4/3
Step-by-step explanation:
Hope that helps!
Which shows the equation below written in the from ax^2 + bx + c = 0? x + 9 = 2(x - 1) ^2
Answers
Answer:
i may be wrong but i thinks its A
Step-by-step explanation:
Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answers
Answer:
Step-by-step explanation:
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
Answers
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
Please help me nobody will help me with this please
Answers
Answer:
[tex]24[/tex]
Step-by-step explanation:
Each bottle of water costs $2 so we multipy 12 by 2.
[tex]12[/tex]×[tex]2=24[/tex]
What is greater 11/12 or 2 1/3
Answers
Answer:
2 1/3
Step-by-step explanation:
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answers
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
Find the ratios x:y:z if x:y=9:10 and y:z=5:3
Answers
Answer:
Step-by-step explanation:
Answer:
x : y : z = 9 : 10 : 6
Step-by-step explanation:
Expressing the ratio y : z = 5 : 3 in fractional form, that is
[tex]\frac{y}{z}[/tex] = [tex]\frac{5}{3}[/tex] ( cross- multiply )
5z = 3y ( divide both sides by 5 )
z = [tex]\frac{3}{5}[/tex] y = [tex]\frac{3}{5}[/tex] × 10 = 3 × 2 = 6
Thus
x : y : z = 9 : 10 : 6