Answer:
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
Finding the distance:
Charlotte walks home from school every day at a rate of 4 miles per hour. It takes her 30-minutes to reach home.
This means that [tex]t = 0.5, v = 4[/tex]. Time is 0.5 because as the velocity is in miles per hour, the time has to be in hours. We use this to find d.
[tex]v = \frac{d}{t}[/tex]
[tex]4 = \frac{d}{0.5}[/tex]
[tex]d = 4*0.5 = 2[/tex]
The distance is of 2 miles.
Her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour.
We have to find t, in hours, for which [tex]v = 6, d = 2[/tex]. So
[tex]v = \frac{d}{t}[/tex]
[tex]6 = \frac{2}{t}[/tex]
[tex]6t = 2[/tex]
[tex]t = \frac{1}{3}[/tex]
A third of an hour. In minutes, this is a third of 60, that is 60/3 = 20 minutes.
How many fewer minutes does it take Noah than Charlotte to reach home from school each day?
Noah: 20 minutes
Charlotte: 30 minutes
30 - 20 = 10
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
100 BRAINLY POINTS
f(x)=18,000(.88)^x ; x represents the number of years since the car started to depreciate and 18,000 = the initial value of the car. What year will you recieve the car when the car value drops below $2,000? Please do a step by step
Answer:
After 17 years and 3 monthsStep-by-step explanation:
Given function:
f(x)=18000(0.88)^xWe are looking for the value of x at f(x) < 2000
Solve the equation:
2000 = 18000(0.88)^x(0.88)^x = 2000/18000(0.88)^x = 0.1111log (0.88)^x = log 0.1111x = log 0.1111 / log 0.88x = 17.18After 17 years and 3 months the car value drops below $2,000
Put f(x)=2000 and solve
2000=18000(0.88)^x2=18(0.88)^x1/9=(0.88)^xln(0.111)=xln0.88x=ln(0.111)/ln0.88x=17.18Atleast 18 years
You will recieve in 18the year going on
ellus
Corresponding Angles are congruent.
Which angle corresponds with <3?
42141
4443
«[?]
45 46
47 48
Answer:
<8 corresponds with <3
Stem and leaf diagram
This one please help out
Answer:
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
Step-by-step explanation:
Okay so looking at the unit cubes you must count how much there are and see how much unit cubes the weight is equivalent to
15. there are 11 cubes
16. there are 18 cubes
17. there are 6 cubes
18. the pencil case
19. the stapler
20. The Pencil Case is heavier than the wallet
21. The stapler is lighter than the wallet
your work is correct!! Good job!!
Hope this helps!!
-Ketifa
help me help me help me help me
in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are __________.
A. On the same line
B. Unequal
C. Imaginary
D. The same point
Answer:
D. The same point
Step-by-step explanation:
An equilateral triangle can be defined as a type of triangle that has all of its sides being equal in length.
This ultimately implies that, an equilateral triangle comprises of three (3) congruent sides and as such creates three (3) congruent angles that measures 60° each. Also, the sum of the congruent angles of an equilateral is always equal to 180°.
Hence, in an equilateral triangle, the incenter, orthocenter, circumcenter, and centroid are the same point i.e all of the three (3) centers fall on the same point or spot.
Find the value for x.
A. 76°
B. 285°
C. 256°
D. 105°
What is the value of x if 10 - 20x = 5?
Answer:♀️
Step-by-step explanation:
the first two terms of an arithmetic sequences are 7 and 3.
1.1.1 determine the eighteen term.
1.1.2 which term of the sequences Will be equal to -157?
Answer:
1.1.1) -61
1.1.2) Term 42
Step-by-step explanation:
Tn= dn (difference) + t0 (term 0)
Tn= -4n+ 11
You can now take this general rule to find out the other terms.
Tn= -4(18)+11
Tn= -61
And the term -157
Tn= -4n+11
-157= -4n + 11
-157 - 11= - 4n
-168= -4n
-168/-4= n
42= n
what is the x in x/2=7
Answer:
14
Step-by-step explanation:
7x2=14
Answer:
14
Step-by-step explanation:
x/2=7 multiply 2 on both sides x=14
Cual es el decimal del 3%
Answer:
0.03
Step-by-step explanation:
The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:
P(x) = -2x^2 + 88x - 384
where P(x) is the weekly profit in hundreds of dollars and x is the number of widgets must be produced weekly. How many widgets must be produced weekly for the maximum weekly profit? What is the maximum weekly profit? Find the analytically.
9514 1404 393
Answer:
22 widgets$58,400Step-by-step explanation:
The turning point (maximum or minimum) of quadratic function ...
f(x) = ax² +bx +c
is at x = -b/(2a).
Here, this means the maximum profit will be had when the number of widgets produced weekly is ...
x = -88/(2(-2)) = 22
The profit at that level of production is ...
P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds
22 widgets must be produced weekly for the maximum weekly profit of $58,400.
For a math assignment, Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice.
What is the total number of possible outcomes for each trial?
46,656
0 36
0216
0 7,776
SAVE AND CONTINUE
Answer:36
Step-by-step explanation: 6 sided dice = 6 possible outcomes
6×6=36
The required number of outcomes is 36 after rolling all six dice. Option B is correct.
Jane has to roll a set of six standard dice and record the results of each
trial. She wonders how many different outcomes are possible after rolling all six dice. the total number of possible outcomes for each trial to be determined.
Probability can be defined as the ratio of favorable outcomes to the total number of events for a system of the certain events.
For 1 dice, sample space = { 1 2 3 4 5 6}
total possible outcome = 6
Now 6 dice roll at once and the total outcome = 6 * 6
= 36
Meanwhile, Jane has a total of 36 outcomes.
Thus, the required number of outcomes is 36 after rolling all six dice. Option B is correct.
Learn more about probability here:
brainly.com/question/14290572
#SPJ2
Acellus
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 2?
4241
4443
46145
4847
42 =<[?]
Enter
Answer:
angle 7
Step-by-step explanation:
Answer:
angle 7 angle forms a pair of alternate
exterior angles with angle 2.
Solve for u.
5u - 15 = 10
Solve for u
|5u-15|=10
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
U =
=
No
solution
D
Answer:
5u-15=10 |+15
5u=25 |:5
u=5
The solution is 25
I hope it helps
have anice day
Mark multiplied a number by itself. He found a
product of 30. What is the number, rounded to the
nearest tenth?
A. 4.5
B. 5.4
C.5.5
D. 15.0
Answer:
5.5×5.5=30.5
we rounded 30.25 in nearest tenth it becomes 30
Answer:
C.] 5.5
Step-by-step explanation:
It is mentioned that the number was multiplied by the number itself.
Let's take 'x' as the number. It was multiplied by itself and the product is 30. So the equation will be:
x × x = 30
[tex]x^{2}[/tex] = 30
x = [tex]\sqrt{30}[/tex]
x = 5.47 = 5.5 (to the nearest tenth)
The calories I burn walking can be modeled by the function y = 5x + 100,
with x representing the number of minutes spent walking. How many
calories would I burn if I walked for 75
minutes?
Answer:
X=75
Y=5X+100
Y=5*75+100
Y=375+100
Y=475
Therefore, you burnt 475 calories if you walked for 75 minutes
the scientific notation, 170.04 is written as
Answer: 1.7004 × 10^2
Step-by-step explanation:
If 3)% of a number is 105, what is 40% of that number.
pls help me soon thanks I will give brainliest
Answer:
140
Step-by-step explanation:
30% of a number(x) is 105. To find the number(x) we must set up the equation below and solve for x:
0.3=105/x (multiply x)
0.3x=105 (divide by 0.3)
x=350
Solve for 40% of the number by multiplying 0.4 by the number:
350x.4=140
help will give brainliest
Answer:
B
Step-by-step explanation:
2/5 is equal to 40 percent
A pie recipe calls for you to use a cup of milk, 2 cup of oil, and 2 cup of water. How much liquid do you
need to make the pie?
Is 12/8 less than, equal to, or greater than 11/6?
Answer:
it's less than
Step-by-step explanation:
12/8 simplified is 3/2
11/6 cannot be further simplified
3/2<11/6
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 76 people in the 18-21 age bracket and finds that 65 of them respond and 11 refuse to respond. When 281 people in the 22-29 age bracket are contacted, 263 respond and 18 refuse to respond. Assume that 1 of the 357 people is randomly selected. Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Answer:
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Find the probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
357 people.
281 in the 22-29 age bracket + 65 in the 18-21 that agree to respond. So
[tex]p = \frac{281+65}{357} = 0.9692[/tex]
0.9692 = 96.92% probability of getting someone in the 22-29 age bracket or someone who agreed to respond.
A large tank is filled to capacity with 300 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 3 gal/min. The well-mixed solution is pumped out at a rate of 6 gals/min. Find the number A(t) of pounds of salt in the tank at time t. A(t) = 1500(1−e−0.02t) lb How long (in minutes) will it take for the tank to be empty after this process has started? min
Answer:
(a) [tex]A = 1500(1 - e^{-0.01t})[/tex]
(b) [tex]t = 0[/tex]
Step-by-step explanation:
Given
[tex]V= 300gal[/tex] --- Volume of tank
[tex]B = 5lb/gal[/tex] --- Brine solution
[tex]R_1 = 3gal/min[/tex] --- Rate in, in gallon/min
[tex]R_2 = 6gal/min[/tex] --- Rate out, in gallon/min
Required
Determine A(t)
First, calculate the rate in (R in) and (R out) in lb/min
[tex]R_{in} = B * R_1[/tex]
[tex]R_{in} = 5lb/gal * 3gal/min[/tex]
[tex]R_{in} = 15lb/min[/tex]
R(out) is calculated by multiply the rate at which brine leaves the tank (lb/gal) * R2
So, we have:
[tex]R_{out} = \frac{A(t)}{300} lb/gal * 3gal/min[/tex]
[tex]R_{out} = \frac{3*A(t)}{300} lb/min[/tex]
[tex]R_{out} = \frac{A(t)}{100} lb/min[/tex]
The change in the amount of brin e in the tank at time t is given as:
[tex]A'(t) = R_{in} - R_{out}[/tex]
[tex]A'(t) = 15 - \frac{A(t)}{100}[/tex]
Rewrite:
[tex]\frac{dA}{dt} = 15 - \frac{A}{100}[/tex]
Multiply through by dt
[tex]dA = [15 - \frac{A}{100}]* dt[/tex]
Make dt stand alone
[tex]\frac{dA}{15 - \frac{A}{100}} = dt[/tex]
[tex]ln|15 - \frac{A}{100}| = -0.01t + ln\ c[/tex]
Express as exponents
[tex]15 - \frac{A}{100} = ce^{-\frac{t}{100}}[/tex]
Multiply through by 100
[tex]1500 - A = 100ce^{-\frac{t}{100}}[/tex]
[tex]A = 1500 - 100ce^{-\frac{t}{100}}[/tex]
[tex]A = 1500 - 100ce^{-0.01t}[/tex]
Apply initial conditions
[tex]A(0) = 0[/tex]
Substitute 0 for t in: [tex]A = 1500 - 100ce^{-0.01t}[/tex]
[tex]0 = 1500 - 100ce^{-0.01*0}[/tex]
[tex]0 = 1500 - 100ce^{0}[/tex]
[tex]0 = 1500 - 100c[/tex]
[tex]100c = 1500[/tex]
[tex]c = 15[/tex]
Substitute 15 for c in [tex]A = 1500 - 100ce^{-0.01t}[/tex]
[tex]A = 1500 - 100*15e^{-0.01t}[/tex]
[tex]A = 1500 - 1500e^{-0.01t}[/tex]
Factorize:
[tex]A = 1500(1 - e^{-0.01t})[/tex]
How long to empty the tank
Set A to 0
[tex]1500(1 - e^{-0.01t}) = 0[/tex]
Divide through by 1500
[tex]1 - e^{-0.01t} = 0[/tex]
Collect Like Terms
[tex]e^{-0.01t} = 1[/tex]
Take ln of both sides
[tex]ln\ (e^{-0.01t}) = ln\ 1[/tex]
[tex]-0.0t = 0[/tex]
[tex]t = 0[/tex]
can someone please help me find the value of p and q?
Answer:
[tex]q=31.7\\p=28.4[/tex]
Doing all calculations with 3 significant figures.
Step-by-step explanation:
First, we'll obtain the value of 'q', this by realizing how the two angles together form a right triangle with inner angles of 30, 60, 90.
Furthermore, the opposite side of the angle of 30 is 'q' and its adjacent is given as 55. Hence, we can solve for 'q' using tangent as follows:
[tex]tan(30)=\frac{q}{55} =.577[/tex]
We solve for 'q':
[tex]q=.577*55=31.7[/tex]
Now to solve for 'p', we first will calculate what '55-p' is equal to.
First, we realize '55-p' corresponds to the adjacent side to the angle of 50 inside the small right triangle (the one with inner angles of 50, 40, 90) and q (which we now know is 31.7) correspond to the opposite side. Hence, we again use tangent as follows:
[tex]tan(50)=\frac{q}{55-p} =\frac{31.7}{55-p} =1.19[/tex]
We solve for 'p':
[tex]1.19(55-p)=31.7\\65.5-1.19p=31.7\\1.19p=33.8\\p=\frac{33.8}{1.19}=28.4[/tex]
can someone help me with this? all of the info is in the pic
Answer:
there is no pic -_-
Step-by-step explanation:
What is 5/9=14c-5/12
Answer:
c=5/72
Step-by-step explanation:
5/9=14c-5/12
Switch sides
14c-5/12=5/9
Add 5/12 tp both sides
14c-5/12+5/12=5/9+5/12
Simplify;
14c-5/12+5/12
=14c
Simplify;
5/9+5/12
LCM of 9, 12;
36
The least common multiplier of a, b is the smallest positive number that is divisible by both a and b.
Prime factorization of 9;
3*3
Prime factorization of 12;
2*6
=2*2*3
=3*3*2*2
=36
5/9=5*4/9*4=20/36
5/12=5*3/12*3=15/36
=20/36+15/36
20+15/36
=35/36
14c=35/36
14c/14=35/36/14
14c/14=c
35/36*14
=35/504
=5/72
Answer c=5/72
Answer to the following question is as follows;
Value of C = 5 / 72
Step-by-step explanation:
Given:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
Find:
Value of C
Computation:
[tex]\frac{5}{9} = 14c - \frac{5}{12}\\\\[/tex]
By taking 5/12 to LHS Side
[tex]\frac{5}{9} + \frac{5}{12} = 14c\\\\[/tex]
By taking LCM;
[tex]\frac{(4)(5) + (3)(5)}{36} = 14c\\\\[/tex]
[tex]\frac{20 + 15}{36} = 14c\\\\[/tex]
[tex]\frac{35}{36} = 14c\\\\[/tex]
By transfer 14 to LHS side
[tex]\frac{35}{36 \times 14 } = c\\\\[/tex]
[tex]\frac{5}{36 \times 2 } = c\\\\[/tex]
[tex]\frac{5}{72} = c\\\\[/tex]
Value of C = 5 / 72
Learn more;
https://brainly.com/question/21481562?referrer=searchResults
Can some one help me 2⅛-1⅜
Answer:
6 / 8 or 3 / 4
Step-by-step explanation:
Subtraction lol
Select all the expressions with a product equal to 2/3
A. 4/4 x 2/3
B. 2/3 x 2/3
C. 2/3 x 5/6
D. 5/6 x 23
Plssssss help me now I will mark as brainliest if its correct dont send link (It's a virus) and pls explain answer.
HELP!!!!!
The net of a rectangular prism and its dimensions are
shown in the diagram.
What is the total surface area of the rectangular prism in
square inches?
Answer:
C. 245.5
Step-by-step explanation:
(5.5) (3) + (12.5) (3) + (5.5) (3) + (12.5) (5.5) + (12.5) (5.5) + (3) (12.5)
= 245.5
Answer:
its 245.5
Step-by-step explanation: