The car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
Let T is the time and S is the speed.
Then,
T ∝ 1/S
T = k/S
k is the constant of proportionality
Plug T = 41 minutes = 0.683 hour and S = 46 mph
0.683 = k/46
k = 31.418 m
T = 31.418/S
Plug S = 82 mph
T = 31.418/82 = 0.383 hour (multiply it by 60 to convert it into the minutes)
T = 22.988 minutes ≈ 23 minutes
Thus, the car will take 23 minutes to complete the trip if in a car trip, the time of trip is inversely proportional to the speed travelled.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ2
Ismael earns $22 per hour plus a bonus of $50. How many hours does he have to work if he wants to earn more than $105? Part A: Translate the situation into an Inequality (Remember to use < or > ) Part B: Solve the inequality (How many hours does he have to work?)
Answer:
A. x > 2 [or x >= 2.5 depends on your options] , B. 2.5 hours (2 hours and 30 mins)
Step-by-step explanation:
x-y = -10 2x+4y=22 substitution
Answer:
[1] x - 4y = 22
[2] 2x + 5y = -21
Step-by-step explanation:
Solve equation [1] for the variable x
[1] x = 4y + 22
// Plug this in for variable x in equation [2]
[2] 2•(4y+22) + 5y = -21
[2] 13y = -65
// Solve equation [2] for the variable y
[2] 13y = - 65
[2] y = - 5
// By now we know this much :
x = 4y+22
y = -5
// Use the y value to solve for x
x = 4(-5)+22 = 2
I am sorry if I get it wrong.
When rolling a die (number cube), what is the probability of rolling a 2 or a 3?
А 1/3
B. 2/3
с. 1/3
D.1/2
E5/6
Answer:
your answer is letter D
Step-by-step explanation:
D
If the spinner shown is spun 40 times, predict the number of times the spinner would land on Section B.
Answer:
10 times
Step-by-step explanation:
Given that:
Number of sections = (A, B, C, D) = 4
Probability of spinner landing on section B on a single spin = required outcome / Total possible outcomes
P(landing on B) = 1 /4
Predicted Number of times spinner will land on D ; if spinner is spurned 40 times
1/4 * 40 = 10 times
3x^2-5/3x-1 - 2x^2-3x-2/3x-1
Answer:
3
x
2
−
16
x
−
6
/3
Step-by-step explanation:
The Maron Luggage Company claims they have a suitcase large enough to fit a 34-inch baseball bat inside. If the suitcase has height and depth 17 inches by 11 inches, what must its whole-number length be, at minimum?
Answer:
the height of the suitcase is 34 in
Step-by-step explanation:
Given that
The length of the baseball bat is 34 in
And, the height and depth of suitcase is 17 inches by 11 inches
Based on the above information
The height of the suitcase would be equivalent to the height of the baseball bat i.e. 34 in
Hence, the height of the suitcase is 34 in
The same would be considered
What is the final selling price of a $150 phone with 230% markup and then 7% sales tax?
Answer:
369.15
Step-by-step explanation:
PLS HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
Um.... quick question what are the problems because the file don't work!
Step-by-step explanation:
A cereal company is putting 1 of 4 prizes in each box of cereal. The prizes are evenly distributed so the
probability of winning any given prize is always 1/4.
Lily wonders how many boxes she should expect to buy to get all 4 prizes. She carried out 20 trials of a
simulation and her results are shown below. Each dot represents how many boxes it took to get all 4 prizes in
that trial.
4
5
6
7
8
9
10 11 12 13 14 15
# of boxes purchased
Use her results to estimate the probability that it takes fewer than 7 boxes to get all 4 prizes.
Give your answer as either a fraction or a decimal.
P(fewer than 7 boxes) -
Answer:
[tex]P(x < 7) = 0.383[/tex]
Step-by-step explanation:
Given
See attachment for plot
Required
Determine the probability that few than 7 boxes will be needed.
This is represented as:
[tex]P(x < 7)[/tex]
And the solution is:
[tex]P(x < 7) = P(x = 4) + P(x = 5) + P(x = 6)[/tex]
Each probability is calculated by dividing the number of dots by the total dots.
So, we have:
[tex]P(x < 7) = \frac{n(x = 4) + n(x = 5) + n(x = 6)}{Total}[/tex]
From the attached, the formula becomes:
[tex]P(x < 7) = \frac{4 + 6 + 3}{4+6+3+4+4+6+3+2+1+2+0+1}[/tex]
[tex]P(x < 7) = \frac{13}{36}[/tex]
[tex]P(x < 7) = 0.361[/tex]
help please I don't know how to solve this
Answer:
x = 23 degrees
Step-by-step explanation:
It is given that the two parallel lines, (m) and (n) are intersected by a transversal. The two given angles (5x - 20) and (85) are alternate corresponding. Meaning that they are supplementary; their angle measures add up to (180) degrees. Based on this given information, form an equation and solve for the parameter (x).
(5x - 20) + (85) = 180
Simplify,
5x + 65 = 180
Inverse operations,
5x + 65 = 180
-65 -65
5x = 115
/5 /5
x = 23
Find the length of the missing side
I don’t understand question 42,43
Answer:
42. x = 25
43. LM = 11
Step-by-step explanation:
For 42, the three angles of a triangle, when added, = 180 degrees. We know that one of the angles is 90 degrees...a right angle.
So: 90 + 2x + x + 15 = 180
105 + 3x = 180
3x = 75
x = 25
If they ask for more information: the three angles are 90 degrees, 50 degrees (2x), and 40 (x + 15). 90 + 50 + 40 = 180
For 43, ray PN bisects (cuts in equal halves) the triangle. We know this because the two segments LP and PM are equal. As a result, the triangles LPM and PNM are mirror images. Since MN = 11, LM also = 11.
Please let me know if you have questions.
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
A gardener made a scale drawing of a lawn with a scale
factor of 1:8. The dimensions of his drawing are 9 inches
long by 5 inches wide. His partner plans to make another
scale drawing of the lawn, but with a scale factor of 1:16.
What are the dimensions of his scale drawing?
A. The length is 4.5 inches and the width is 2.5 inches.
B. The length is 10 inches and the width is 18 inches.
C. The length is 2.5 inches and the width is 4.5 inches.
D. The length is 18 inches and the width is 10 inches.
Answer:
the answer is A .I took the test and got it correct
the points m(-10, 3) and p(-4, -8) are graphed on the coordinate plane. to the nearest tenth of a unit what is the distance between points m and p
Answer:
Distance between points m and p = 12.53 unit (Approx.)
Step-by-step explanation:
Given:
Co-ordinate of points
m(-10, 3)
p(-4, -8)
Find:
Distance between points m and p
Computation:
Distance between two points = √(x1 - x2)² + (y1 - y2)²
Distance between points m and p = √(-10 + 4)² + (3 + 8)²
Distance between points m and p = √(-6)² + (11)²
Distance between points m and p = √36 + 121
Distance between points m and p = √157
Distance between points m and p = 12.53 unit (Approx.)
Add the following rational numbers: 5/8 and 3/-10
Answer:
= 13/40
Step-by-step explanation:
(5/8) + (3/-10)
5/8 = 50/80
3/-10 = -24/80
then:
(5/8) + (3/-10) = 50/80 - 24/80
= 26/80 = 13/40
Answer:
13/40
Step-by-step explanation:
A rock weighs 80 g on a triple beam scale. The same rock is then gently placed inside a graduated cylinder containing 30 mL of water. If the water level in the graduated cylinder rises to 75 mL. What is the density of the rock
Answer:
1.78 g/cm³Step-by-step explanation:
80 g rock displaces water:
75 ml - 30 ml = 45 ml = 45 cm³Density = mass / volume:
d = 80 g / 45 cm³d = 1.78 g/cm³ (rounded)A system of linear equations is shown below.
y= 2x + 1
y = - 1/4x + 3
Which equation can be used to determine the value of x for the solution?
Answer:
Step-by-step explanation:
hello :
2x+1 = -1/4 x+3....same y
In which quadrant said is each point located.
Answer:
Quadrent II
Step-by-step explanation:
It is like a elevator. You have to walk to the elevator to go before you can go up. So you go to the negative area first and then climb up because 8 is positive, and that would land you in Quadrent II
Someone please help and show work!! I will also mark brainliest. I’ll appreciate it.
Answer:
1. 53
2. 20
3. 37
4. 29
Step-by-step explanation:
Since your trying to find the hypotenuse you equation is...
1. 28^2 + 45^2 = C^2
784 + 2025 = C^2
Square Root 2809= C^2
C=53
So after you square root 2809 you get 53.
2. 12^2 + 16^2 = C^2
144 + 256 = C^2
Square Root 400 = C^2
C=20
So after you square root 400 you get 40.
3. 12^2 + 35^2 = C^2
144 + 1225 = C^2
Square Root 1369 = C^2
C=37
So after you square root 1359 you get 37.
4. 20^2 + 21^2 = C^2
400 + 441 = C^2
Square root 841 = C^2
C=20
So after you square root 841 you get 29.
Segment AB has endpoints A(-2, 8) and B(4,0). The segment is dilated about the origin by a scale factor of 0.5 to create segment AB
What are the endpoints of segment AB?
select both endpoints
(-2,8)
(-1,4)
(0,0)
(1,4)
(2,0)
(4,0)
[please help, i would appreciate it alot]
Answer:
Step-by-step explanation:
(-1,4) (1,4) 2,0
The endpoint of the line segment will be (-1, 4) and (2, 0). Then the correct options are B and E.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
A line segment in mathematics has two different points on it that define its boundaries. A line segment is sometimes referred to as a section of a path that joins two places.
Section Stomach muscle has endpoints A(- 2, 8) and B(4,0). The section is widened at the beginning by a scale variable of 0.5 to make a fragment of the Stomach muscle.
The endpoint of the line segment is given as,
A = 0.5(-2, 8)
A = (-1, 4)
B = 0.5(4, 0)
B = (2, 0)
The endpoint of the line fragment will be (- 1, 4) and (2, 0). Then the right choices are B and E.
More about the dilation link is given below.
https://brainly.com/question/2856466
#SPJ2
8x + 3y = 10
-2x - 10y =16
Answer:
(2,-2)
x=2
y=-2
Answer:
1. [tex]x = \frac{-3}{5}y + \frac{5}{4}[/tex]
2. [tex]x = -5y - 6[/tex]
Step-by-step explanation:
Which function is the inverse of f(x) = 2x + 3
o f(x) = - 1 / 2 x - 3/2
o f(x) = 1/2 x -3/2
o f(x) = -2x+3
O f(x)=-2x+3
Answer:
[tex] \frac{ - 1}{2}x - \frac{ - 3}{2} [/tex]
Step-by-step explanation:
I think so
The functions f(x) and g(x) are shown on the graph.
f(x) = 1x
What is g(x)?
10
у
f(x) = 1x1
5
g(x) = ?
10
-5
5
10
O A. g(x) = (x1 - 4
B. g(x) = 1x1 + 4
O c. g(x) = (x - 41
O D. g(x) = (x + 41
Answer:
D
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Here g(x) is the graph of f(x) shifted 4 units to the left , then
g(x) = | x + 4 | → D
The equation of function g(x) is [tex]g(x) = |x + 4|[/tex]
From the graph, we have the following highlights
The blue line represents f(x)The orange line represents g(x)Also, the blue line is shifted 4 units to the left, to get g(x)
The rule of this transformation is:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]g(x) = |x + 4|[/tex]
Hence, the equation of function g(x) is [tex]g(x) = |x + 4|[/tex]
Read more about function transformation at:
https://brainly.com/question/1548871
Can someone give me the correct answer please thanks
Answer:
4
Step-by-step explanation:
here's your solution
=> perpendicular^2 = hypotenuse^2 - base^2
=> p^2 = 5^2 - 3^2
=> p^2 = 25 - 9
=> p^2 = 16
=> p = √16
=> p = 4
hope it helps
Answer:
4Step-by-step explanation:
Let,
The third side of the triangle be = x
According to Pythagoras Theorem,
[tex] {5}^{2} - {3}^{2} = {x}^{2} [/tex]
[tex] = > {x}^{2} = 25 - 9[/tex]
[tex] = > {x}^{2} = 16[/tex]
[tex] = > x = \sqrt{16} [/tex]
=> x = 4
Hence,
third side of the triangle is 4 (Ans)
What is IJH equal to?
Answer:
52°
Step-by-step explanation:
∡J = ∡H because IJ = IH
180 - 76 = 104
104/2 = 52
Solve 2x-5=7 please <3
Step-by-step explanation:
Given
2x - 5 = 7
2x = 7 + 5
2x = 12
x = 12 / 2
x = 6
Hope it will help :)❤
Which of the following is not a solution for
finding the perimeter of the square?
A. 4(2y + 2)
B. 8y + 8
C. (2y + 2) + (2y + 2) + (2y + 2) + (2y
+ 2)
D. 4y +4
Answer:
Step-by-step explanation:
Its D
The cone and cylinder above have the same radius and height. The volume of the cone is 210 cubic centimeters. What is the
volume of the cylinder?
Answer:
706.3 cm³
Step-by-step explanation:
Given
"The cone and cylinder above have the same radius and height..."
the volume of the cone = 210 cubic centimeters
Formula
The formula for the volume of a cylinder is V=Bh or V=πr2h. The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h.
How to solve
Given radius and height calculate the volume, lateral surface area, and total surface area.
Calculate V, L, A | Given r, h
use the formulas above
Given radius and volume calculate the height, lateral surface area, and total surface area.
Calculate h, L, A | Given r, V
h = V / πr2
Given radius and lateral surface area calculate the height, volume, and total surface area.
Calculate h, V, A | Given r, L
h = L/2πr
Given the height and lateral surface area calculate the radius, volume, and total surface area.
Calculate r, V, A | Given h, L
r = L/2πh
Given height and volume calculate the radius, lateral surface area, and total surface area.
Calculate r, L, A | Given h, V
$r = √( V / πh )
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?