Answer: 1.01 hours. THIS IS CORRECT
SteIf you draw a figure to model the situation, you can think of them as starting at the origin (0,0). After t hours, David will be at the point (−17t,0), and Amy will be at the point (0,−15t):
A line segment on a coordinate plane.
A coordinate plane has an unlabeled horizontal x-axis and an unlabeled vertical y-axis. A line segment labeled D that falls from left to right extends from a solid circle at left-parenthesis negative 17 t comma 0 right-parenthesis to a solid circle at left-parenthesis 0 comma negative 15 t right-parenthesis. A point is plotted at left-parenthesis 0 comma 0 right-parenthesis. All plotted points are labeled with their coordinates.
Using the distance formula, we can find the distance between them as a function of time t:
D(t)=(x0−x1)2+(y0−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=(−17t−0)2+(0−−15t)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=289t2+225t2‾‾‾‾‾‾‾‾‾‾‾‾‾√=514t2‾‾‾‾‾√=t514‾‾‾‾√
(Note that we can say t2‾‾√=t and not |t| because in this question t>0). Setting this equal to 23 and solving for t, we find
t514‾‾‾‾√t=23=23514‾‾‾‾√≈1.01p-by-step explanation:
The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simplified result is 1718
17
18
. Find the original fraction. (Do NOT simplify.)
Answer:
[tex]\dfrac{40}{42}[/tex]
Step-by-step explanation:
Let the numerator of the fraction=x
Since the denominator of a fraction is two more than the numerator.
Denominator=x+2
The fraction is therefore:
[tex]\dfrac{x}{x+2}[/tex]
If both numerator and denominator are decreased by six, the fraction becomes:
[tex]\dfrac{x-6}{x+2-6}[/tex]
The simplified result is [tex]\dfrac{17}{18}[/tex]
Therefore:
[tex]\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40[/tex]
Substituting x=40 into the initial fraction
[tex]\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}[/tex]
Therefore, the original fraction is [tex]\dfrac{40}{42}[/tex]
Which division expression is equivalent to 4 and one-third divided by Negative StartFraction 5 over 6 EndFraction? StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction) Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Answer:
[tex]\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}[/tex]
Step-by-step explanation:
The first step is to convert the mixed number to an improper fraction.
[tex]\dfrac{4\frac{1}{3}}{\left(-\dfrac{5}{6}\right)}=\boxed{\dfrac{\left(\dfrac{13}{3}\right)}{\left(-\dfrac{5}{6}\right)}}[/tex]
Answer:
it's a
Step-by-step explanation:it's what the guy above me said
Find the volume of a pyramid with a square base, where the perimeter of the base is
10.1
ft
10.1 ft and the height of the pyramid is
13.4
ft
13.4 ft. Round your answer to the nearest tenth of a cubic foot.
9514 1404 393
Answer:
28.5 ft³
Step-by-step explanation:
The side length of the base is 1/4 of the perimeter, so is ...
s = (10.1 ft)/4 = 2.525 ft
The area of the square base is the square of the side length, so is ...
B = s² = (2.525 ft)² = 6.375625 ft²
The volume is given by ...
V = 1/3Bh . . . . . where h is the height
V = 1/3(6.375625 ft²)(13.4 ft) ≈ 28.4778 ft³
The volume of the pyramid is about 28.5 ft³.
How many possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin?
Answer:
16
Step-by-step explanation:
From the spinner there are 8 possible outcomes (1 to 8)
From the coin, there 2 (heads or tails)
8*2=16
There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE need to find the possible outcomes are there when spinning a spinner numbered from 1 to 8 and tossing a coin.
From the spinner, there are 8 possible outcomes (1 to 8)
From the coin, there 2 heads or tails;
8 x 2 = 16
Hence, There are 16 possible outcomes, when spinning a spinner numbered from 1 to 8 and tossing a coin.
Learn more about multiplications;
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On a coordinate plane, triangle A B C is shifted 4 units to the right and 2 units up to form triangle A prime B prime C prime.
Identify the rule for the transformation shown in the figure that translates triangle ABC into triangle A'B'C'.
(x, y) Right-arrow (x – 4, y – 2)
(x, y) Right-arrow (x + 4, y – 2)
(x, y) Right-arrow (x – 4, y + 2)
(x, y) Right-arrow (x + 4, y + 2)
ps first person to answer get brilliants
Answer:
D
Step-by-step explanation:
The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
Here, we have,
In the transformation, the x-coordinates of the points are shifted 4 units to the right, which is represented by subtracting 4 from the original x-coordinate.
Similarly, the y-coordinates of the points are shifted 2 units up, which is represented by adding 2 to the original y-coordinate.
Therefore, the correct rule is (x, y) → (x - 4, y + 2).
Hence, The correct rule for the transformation that translates triangle ABC into triangle A'B'C' is:
(x, y) → (x - 4, y + 2)
To learn more on transformation click:
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Can someone help me please will give brainliest
Answer:
see below
Step-by-step explanation:
Each point moves to half its previous distance from P. It is probably easier to count grid squares on the graph than it is to do the math on the coordinates.
If you're doing the math on the coordinates, it is convenient to use P = (0, 0), then multiply each of the coordinates of A, B, and C by 1/2. For example:
A' = (1/2)A = (1/2)(8, 4) = (4, 2)
Which unit would be best for measuring the thickness of a coin?
kilometer
()) centimeter
meter
)) milli
Answer:
Since 1 mm = . 03937 inches, mm would seem to be the units appropriate for defining the thickness of a coin measuring 2 units.
Step-by-step explanation:
749÷7 using partial quotients
Answer:107
Step-by-step explanation:
749 ➗ 7=107
Giving brainliest to CORRECT answer.
Answer:
A. 2
Step-by-step explanation:
[tex] y = 16x^2 - 8x + 1[/tex] is a quadratic function, hence on solving it will give two zeros, therefore graph of the function will intersect x axis in two points.
volume ....................
Answer:
360 cm^2
Step-by-step explanation:
length x width x height
6 x 6 x 10
Answer:
360cm^3
Step-by-step explanation:
V=L*W*H
V=6*6*10
V=36*10
V=360
Bob wants to go to the movies with his friends. The movie theater charges $ 8 per ticket. Bob's friends reserve $ 48.00 worth of tickets in advance. How many people in total can attend the movie?
Help with steps if u love ur mama
Answer:
6 people can attend the movie with ticket worth of $ 48 if each ticket costs $ 8.
Step-by-step explanation:
1 ticket costs $ 8 then divide $ 48 to find how many tickets worth $8 are there.
[tex]48 \div 8 = 6[/tex]
Crunch Bunch cereal boxes come in two sizes. The mini cereal box of Crunch Bunch is a reduction of the standard box. A standard box with height x inches and width 8 inches. A mini box with height 4 inches and width 3.2 inches. What is the height of the standard size box of Crunch Bunch? 1.6 inches 6.4 inches 10 inches 15.2 inches
Answer:
The anwser is 10 inches
Answer:
10 inches I got it right on edge 2020
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. A driver fills the tank and sets off on a journey. How many litres of petrol will be left when the car has travelled 360 miles?
Answer:
15 liters
Step-by-step explanation:
60/480= 0.125
0.125*360= 45
60-45= 15
Tres empresas de transporte terrestre cumplen el recorrido Lima - Piura, siendo la longitud del trayecto de aproximadamente 1 000 km. La frecuencia de salida es de 10, 12 y 15 días, respectivamente. Si el 14 de marzo tuvieron una partida simultánea, ¿cuántas veces vuelven a coincidir en su partida hasta el 31 de julio?
A)1 B) 2 C) 3 D) 4
Answer:
B) 2
Step-by-step explanation:
We have to find the interval of time for which they begin the traject simultaneously.
One begins each 10 days, other each 12 and other each 15. So to find the number of days before dey start together, we have to find the lesser common multiple(non-zero) between 10,12, and 15.
M(10) = {0,10,20,30,40,50,60,...}
M(10) are the multiples of 10.
M(12) = {0,12,24,36,48,60,...}
M(15) = {0,15,30,45,60,...}
So the lesser common multiple between 10,12 and 15 is 60.
This means that they will begin together each 60 days.
So, first on March 14, after that:
60 days is approximately months.
So approxiately on May 14, and then approximately on July 14
That is, two times before July 31.
So the correct answer is:
B) 2
Which formula will find the area of the composite figure below ?
Answer:
Last formula
[tex] {side}^{2} + \frac{\pi {r}^{2} }{2} [/tex]
Step-by-step explanation:
Composite figure is made up of a square and a semicircle.
Therefore,
Area of composite figure= area of square + area of semicircle
[tex] \huge\purple {\boxed {= {side}^{2} + \frac{\pi {r}^{2} }{2}}} [/tex]
I can't figure out 1/2 (10) (9.4 + 3.6)
Please show work
Answer:
65
Step-by-step explanation:
multiply 1/2 and 10 to get 10/2
10/2(9.4+3.6)
divide 10 by 2 to get 5
add 9.4 and 3.6 to get 13
5 X 13
multiply to get 65
A 24 ounce box of cornflakes costs $4.59 the question is find the unit rate off the nearest cent per ounce. Compare.
Answer$5.22
Step-by-step explanation:
Suppose a pyramid’s dimensions are tripled. What is the ratio of this new, larger pyramid’s volume to that of the original pyramid?
The new volume is one third the original volume.
The new volume is triple the original volume.
The new volume is 9 times the original volume.
The new volume is 27 times the original volume.
Answer:
The answer is D
Step-by-step explanation
I took the quiz on ed.
Answer:
the answer is d: the new volume is 27 time the original volume.
Step-by-step explanation:
In a poll of 100 randomly selected people at a mall, 38 people make less than $50,00 a year and 23 people made more than $100,000 a year. If I had to choose one of the people polled at random, what is the probability I pick someone that makes less than $50,000 or more than $100,000?
Answer:
61%
Step-by-step explanation:
First we need to add the two numbers,38 and 23.Then we will get 61.To convert a number into a probability . we will have to take change the value.100 turns into 1 and 61 turns in to 0.61.Then to convert it into a percentage, which will give us our answer 61%.
Which equation describes a line
that passes through (0, 3) and is
perpendicular to the line described
by y = -5x - 4?
Answer:
A line has equation y = ax + b, perpendicular to the line y = -5x - 4
=> a x (-5) = -1 => a = 1/5.
This line passes (0, 3) => (1/5)*0 + b = 3 => b = 3
=> Equation of this line: y = (1/5)x + 3
Hope this helps!
:)
The equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
Given is a line that passes through (0, 3) and is perpendicular to the
line → y = - 5x - 4
Since the line is perpendicular to the line → y = - 5x - 4. We can write -
m[L] = -1/-5
m[L] = 1/5
Assume that the equation of the line is -
y = m[L]x + c
y = x/5 + c
Since the line passes through the point (0, 3), we can write -
3 = 0 + c
c = 3
The final equation of the line will be -
y = x/5 + 3
Therefore, the equation of the line passes through the point (0, 3) and is perpendicular to the line → y = - 5x - 4 is y = x/5 + 3.
To solve more questions on Straight lines, visit the link below-
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Tessa and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?
Answer:
The amount of water is each balloon should be:
A = 6/20 =0.3 liters
Hope this helps!
:)
Answer:
0.3
Step-by-step explanation:
.
Is z = 5 in the solution set of the inequality 6z > 15
YES
OR
NAA
Answer:
Yes
Step-by-step explanation:
6z > 15
z > 15/6
z > 2.5
So all numbers greater than 2.5 is in the solution set of the inequality 6z > 15.
Solve -1/3w -3/5 = 1/5w
Answer:
w= -9/8
Step-by-step explanation:
-1/3w -3/5 = 1/5w
+1/3w +1/3 w
-3/5=1/5w+1/3w
Make common denominators to combine like terms of the right
-3/5=1/5w+1/3w
*3 *5
-3/5=3/15w+5/15w
-3/5=8/15w
multiply both sides by the reciprocal of 8/15 which is 15/8
-3/5*15/8=8/15w*15/8
[tex]\frac{-3}{5}[/tex]*[tex]\frac{15}{8}[/tex] ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3
[tex]\frac{-3}{1}[/tex]*[tex]\frac{3}{8}[/tex] -----> now multiply across
w= -9/8
Answer: -6/7
Step-by-step explanation:
-1/2w-3/5=1/5w
-w/2 - 3/5=w/5
Collect like terms
w/5 + w/2=-3/5
(2w + 5w)/10=-3/5
7w/10=-3/5
Cross multiply
7w x 5=-3 x 10
35w=-30
Divide both sides by 35
35w/35=-30/35
w=-6/7
A pharmacy uses 4 x 10 to -3 liter of an ingredient in one dose of medication. The ingredient comes in a 2 liter bottle. How many doses can be made with one bottle?
Answer:
reeeeeee
Step-by-step explanation:
ask someone else
Below is a regular octadecagon (18 sided polygon).
What is the SUM of its interior angles.
What is the measure of ONE of its interior angles?
Answer:
2880 degrees; 160 degrees
Step-by-step explanation:
(18-2)*180=16*180=2880
2880/18=160
Therefore, 2880 degrees; 160 degrees
I hope this helped and have a good rest of your day!
WHO EVER HELP MES WILL GET BRAINLEST. AND ALL MY POINTS PLZ HELP ME FIND THE AREA OF THIS
Answer:
5 in^2
Step-by-step explanation:
2x2 for the square = 4 in
1x2/2 for the triangle = 1 in
Answer:
so find the area of the swuare first. 2 times 2 = 4. then you have to add that to the area of the triangle which is 1/2 times base times height. We know that the height is 1 and the base is 2 (from the square's common side shared) so its gonna be 2 times 1 which is 2 divided by 2 which is one soo its 4+1=5
so the answer is 5 inches squared
Step-by-step explanation:
What is the equation of the line passing through the points two (2,-1) and (5,-10) in slope intercept form
Answer:
y=-3x+b
Step-by-step explanation:
Find slope
-1-(-10)/2-5
9/-3
-3 is slope
y=-3x+b
substitute (2,-1)
-1=6+b
b=-7
y=-3x-7
what is the probability that a data value and a normal distribution is between a z score -1.32 and a z score of 0.94
Answer:
0.733
Step-by-step explanation:
Using a calculator or table:
P(-1.32 < Z < 0.94) = P(Z < 0.94) − P(Z < -1.32)
P(-1.32 < Z < 0.94) = 0.8264 − 0.0934
P(-1.32 < Z < 0.94) = 0.733
Reese's truck can go 1,040miles on a full tank of 52gallons of gas. Find the rate of miles per gallon.
Answer:
20
Step-by-step explanation:
Since the truck goes 1040 miles and costs 52 gallons of gas every tiime it goes 1040 miles, we can divide 1040 by 52 to see how far 1 gallon of gas will get you. 1040/52=20 so every 20 miles cost 1 gallon of gas
The measures of the angles of a triangle are 25 degrees, 87 degrees, and 68 degrees. Is the triangle acute, right, or obtuse?
Answer:
their all less than 90 degress so its acute
Step-by-step explanation:
