Answer:
15 feet
Step-by-step explanation:
1 yard = 3 feet
2 yards = 6 feet
3 yards = 9 feet
4 yards = 12 feet
5 yards = 15 feet
Answer:
15 feet.
Step-by-step explanation:
Hello there!
First calculate how many feet are in a yard, then multiply it by 5.
[tex]1*3=3\\3*5=15 ft[/tex]
;)
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night. A box-and-whisker plot. The number line goes from 20 to 80. The whiskers range from 25 to 70, and the box ranges from 40 to 55. A line divides the box at 50. A bar graph titled Minutes spent reading. 4 students spent 25 to 34 minutes; 4 spent 35 to 44; 6 spent 45 to 54; 4 spent 55 to 64; 2 spent 65 to 74. Which statements best describe the box plot or histogram? Check all that apply. Using the information in the box plot, the total number of students surveyed is 70 – 25, or 45. Using the information in the histogram, the total number of students surveyed is 4 + 4 + 6 + 4 + 2 = 20. Referring to the box plot, the median of the data is 50. Referring to the histogram, the median of the data is 49.5. The range of the data can be found using the box plot. The range of the data can be found using the histogram.
The statement best describes the box plot or histogram is B,C and E
We have given that,
The box plot and histogram show the number of minutes sixth-grade students spent reading the previous night.
What is the box and whisker method?A box and whisker plot is defined as a graphical method of displaying variation in a set of data
A box-and-whisker plot
B-Using the information in the histogram, the total number of students surveyed is,
=4 + 4 + 6 + 4 + 2
= 20.
C-Referring to the box plot, the median of the data is 50.
E-The range of the data can be found using the box plot.
Therefore the statement best describes the box plot or histogram is B,C and E.
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Answer:
B,C,E
Step-by-step explanation:
Find the vertical asymptotes of the following function:
y=x+2
_______
x^2 +2x−8
Select the appropriate response:
A) horizontal asymptotes x = −4, 5
B) horizontal asymptotes x = −4, 4
C) vertical asymptotes x = −8, 4
D) vertical asymptotes x = −4, 2
Help please! 50 points!
Answer:
D) vertical asymptotes x = −4, 2
Step-by-step explanation:
First you factor the denominator: x^2 +2x−8
Find factors of -8(c) that add together to give 2(b): 4 and -2
Rewrite the equation: x^2+4x-2x-8
Factor out common variables: x(x+4)-2(x+4)
Group the things inside and outside the parentheses together: (x-2)(x+4)
Solve: x-2=0 so x=2 and x+4=0 so x=-4
Answer:
D) vertical asymptotes x = −4, 2
Step-by-step explanation:
x² + 2x - 8 = 0
x² + 4x - 2x - 8 = 0
x(x + 4) - 2(x + 4) = 0
(x + 4)(x - 2) = 0
x = 2, -4
5/6 times 1/3. dived by 2/3 divided 1/2
Answer:
5/6 (please give branliest)
Step-by-step explanation:
5/6 * 1/3 = 5/18
5/18 / 2/3 = 5/12
5/12 / 1/2 = 5/6
Answer:
I'm pretty sure it is 5/6
Step-by-step explanation:
Tyrone had a chocolate bar, of which he gave one-half to his friend Nora. Nora gave one-half of her piece to her friend Eduardo. What fractional part of the original chocolate bar did Eduardo get?
What is the slope of the line that passes through (0,5) and (8,27)?
Answer:
the slope of the line is 2.75
Slope intercept form (y = mx + b) y = 2.75x + 5
. Given the first term "a" and the common ratio "r", generate the next three terms in the geometric sequence: a = 12.3; r = 0.5. (Write in decimal form to the thousandths place.) *
Answer:
i wanna say 12.8, 13.3, 13.8
im not sure though, i hope this helps
A car leaves town, A at the speed of 90 km/h. Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h. How much time will take to reach it?
Select the appropriate response:
A) t = 6hrs
B) t = 12 hrs
C) t = 30 min
D) None of the answers are correct
Option B is correct, it will take 2hrs to reach it.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
A car leaves town, A at the speed of 90 km/h.
Distance covered by A: 90t
Three hours later leaves the same city another car in pursuit of the first with a speed of 120 km / h
Distance covered by B: 120(t - 3)
90t = 120(t - 3)
Apply distributive property
90t = 120t - 360
30t = 360
Divide both sides by 360
t = 12
Hence, option B is correct, it will take 2hrs to reach it.
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What is 5,384,981 to the nearest ten-thousands place?
Answer:
5,380,000
Step-by-step explanation:
Plot point A at (4,3). Translate point A left 5 units. Label this point B. Give the coordinates of point B.
Not going to plot the points for you. I expect that is within your comprehension.
If you plot point B five units to the left of A, that means x is going to decrease by 5. That means that the coordinates of B are B(4 - 5, 3) = B(-1, 3).
Hope this helps.
Krutika, David and Mark share some sweets in the ratio 2:2:1. Krutika gets 20 more sweets than Mark. How many sweets does David get?
Answer:
David gets 20 sweets.
Step-by-step explanation:
If you want the ratio, 2:2:1, Krustika gets 20 more than mark, you will need to have double what mark got.
So, the only number I can think of that is half, but also 20 more than the "1" ratio, is 20; as 20 is half of 40, however, 40 is also 20 more than the "1" ratio.
David gets 40 sweets when the sweets are divided in a 2:2:1 ratio among Krutika, David, and Mark, and where Krutika receives 20 more sweets than Mark.
Explanation:The problem presents a ratio which is the relation between three persons sharing sweets: Krutika, David, and Mark. The ratio is given as 2:2:1 respectively. This means that for every 2 sweets Krutika gets, David gets 2 sweets, and Mark gets 1 sweet.
Krutika gets 20 more sweets than Mark in this arrangement, so we can say that Mark's share (1 part of the ratio) is equivalent to Krutika's share - 20, which is 20 sweets. Therefore, 1 part of the ratio represents 20 sweets.
Since David's share is 2 parts of the ratio, and each part of the ratio is equivalent to 20 sweets, David gets 2 * 20 = 40 sweets.
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Vanessa is a caterer. She made several batches of appetizers last weekend for an event. This weekend, vanessa made 4 times as many batches. She made a total of 25 batches of appetizers for the two weekends. Determine the nmber of batches vanessa made last weekend and the number of batches she made this weekend. Let b=the number of batches of appetizers vanessa made last weekend
Answer:
Vanessa made 6.25 batches of appetizers last weekend and made 18.75 batches of appetizers this weekend.
Step-by-step explanation:
Let b represent the number of appetizers Vanessa made last weekend.
Since Vanessa made 4 times what made last weekend, let the number of appetizers she made this weekend by represented by 4 × b.
Total batches of appetizers made for the two weekends = 25
Thus, to determine the batches of appetizers made last weekend we perform this operation:
[tex]4 \times b = 25[/tex]
[tex]4b = 25[/tex]
Divide both sides by 4
[tex] \frac{4b}{4} = \frac{25}{4} [/tex]
[tex]b = 6.25[/tex]
Hence, Vanessa made 6.25 batches of appetizers last weekend.
Since total batches of appetizers made by Vanessa for the two weekends is 25, to determine what she made this weekend we say:
[tex]25b - 6.25b = 18.75b[/tex]
Thus, Vanessa made 18.75 batches of appetizers this weekend. By implication, she made 6.25 batches + 18.75 batches of appetizers = 25 batches of appetizers for the two weekends.
In ΔFGH, the measure of ∠H=90°, HG = 48, FH = 55, and GF = 73. What ratio represents the tangent of ∠G?
Answer:
55/48
Step-by-step explanation:
We can find the tangent of ∠G using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,
SOA stands for
Sin Ф = opposite side/hypotenuses side
Cosine Ф = adjacent side/hypotenuses side
Tangent Ф = opposite side/adjacent side
Considering triangle ΔFGH, where ∠H=90°
The opposite side is FH, the hypotenuse side is GF and the adjacent side is HG hence,
Tan ∠G = FH/HG
= 55/48
Answer:
55:48
Step-by-step explanation:
Given a right angles triangle ∆FGH
where ∠H=90°, HG = 48, FH = 55, and GF = 73,
Based on the diagram attached
To find the tangent of angle G, we will use the concept of SOH CAH TOA in trigonometry identity.
According to TOA:
Tan ∠G = Opposite/Adjacent
Note that the opposite side will be the side facing the angle we are considering i.e ∠G
Opposite = 55
Adjacent will be the base of the triangle = 48
Tan∠G = 55/48
The ratio that represents the tangent of ∠G is 55:48
Find the missing length of the triangle.
5.6 in.
10.6 in.
Answer:
9 in
Step-by-step explanation:
The missing length of the right angle triangle is approximately 12 in.
The missing length of the right-angle triangle can be found using the Pythagorean theorem. The theorem states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. In this case, the length of one side of the triangle is 5.6 in and the length of the other side is 10.6 in. Let's substitute these values into the formula:
a² + b² = c²
(5.6 in)² + (10.6 in)² = c²
31.36 in² + 112.36 in² = c²
143.72 in² = c²
Now, we can take the square root of both sides to find the length of the hypotenuse:
c = √143.72 in² ≈ 12 in
Therefore, the missing length of the right angle triangle is approximately 12 in.
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A truck is carrying 100 pounds of grapes, which are 99% water (and 1% skin, fiber, etc…). When the truck breaks down and the grapes sit in the back of the truck for 4 hours, they become 98% water. At that moment, how many pounds do the grapes weigh?
Answer:
The grapes have a weight of 50 pounds
Step-by-step explanation:
To calculate the weight of the grapes, we proceed as follows;
Let's categorize the skin, fiber as solids
At first, we had 1% solids and 99% water.
This means 99 pounds of water and 1 pound of solid
It must be known that the 1% solid remains the same after drying and what we have lost simply is the water,
This means that 2% of the total weight is now same 1 pound of solid after drying
Mathematically, this means
2/100 * new total weight = 1 pound
New total weight = 1 pound × 100/2 = 50 pounds
Find the discriminant and the number of real roots for the equation.
4x^2+12x+9=0
Answer: 0; one real number
Step-by-step explanation:
Help me what is this
Answer:
Dog
Step-by-step explanation:
This seems to be a Chihuahua breed of a dog
Answer:
doggo
Step-by-step explanation:
A plane flying with the jet stream flew from Los Angeles to Chicago, a distance of 1520 mi, in 4 h. Flying against the jet stream, the plane could fly only 1120 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind.
Answer:rate of the plane in calm air = 380 mph
rate of the wind = 100 mph?
Step-by-step explanation:all you have to do is divide 1520 mi by 4 hrs because distance/time. You will get the speed of the plane in calm air this way. The rate of the wind is most likley wrong though, please correct me.
The plane's speed in calm air is 330 mi/h, and the wind's speed is 50 mi/h. These values were calculated by setting up and solving a pair of linear equations.
Explanation:To solve this problem, we will use the formula for rate, which is distance = rate × time. We can set up two equations to represent the plane's flight with and against the jet stream. When the plane is flying with the jet stream, its speed is increased by the speed of the wind, while when it's flying against it, its speed is reduced by the wind speed.
With the jet stream: 1520 mi = (plane speed + wind speed) × 4 hAgainst the jet stream: 1120 mi = (plane speed - wind speed) × 4 hWe can then divide these equations by 4 to get the rates:
380 mi/h = plane speed + wind speed280 mi/h = plane speed - wind speedBy solving this system of linear equations, we find that the plane's speed in calm air (plane speed) is 330 mi/h and the speed of the jet stream (wind speed) is 50 mi/h.
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Evaluate the expression
Answer:
the correct answer is 4. because the cube root of 64 is 4
Answer:
Step-by-step explanation:
Recall that 4^3 = 64.
Thus, the opposite operation is the cube root of 64: ∛64 = 4
answer question below please
solve for x
Answer:
The answer to your question is x = 12
Step-by-step explanation:
Data
BC = 7
DE = x
AB = 7
BD = 5
Process
To solve this problem use proportions and cross multiplication. Compare the ΔADE and ΔABC.
DE / (AB + BD) = BC / AB
-Solve for DE
DE = BC (AB + BD) / AB
-Substitution
DE = 7(7 + 5) / 7
-Simplification
DE = 7(12) / 7
DE = 84/7
-Result
DE = 12
Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an
angle of 29º. Howard wants the chairs to be 2.75 meters above the ground in full swing.
How tall should the pole of the swing ride be?
Round your final answer to the nearest hundredth.
meters
------
2.75 m
Answer:
7.12m
Step-by-step explanation:
THIS IS THE CORRECT QUESTION:
Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole be? Round your answer, if necessary, to 2 decimal places.
From the question:
Length of the rope is = 5 m long.
The tilted angle is 29°
The distance from the ground is 2.75 m
To Find the height of the pole,
SEE THE ATTACHMENT BELOW;
What is the slope of the line
Answer:
-1
Step-by-step explanation:
The rise over run is -2 over -2.
-2/-2=-1
What is the solution to the equation 2 x + 4 = 24?
x = 1
x = 3
x = 6
x = 10
Brainliest if answered correctly!
Answer: [tex]x=10[/tex]
Subtract 4 from both sides
[tex]2x+4-4=24-4\\2x=20[/tex]
Divide both sides by 2
[tex]2x/2=20/2[/tex]
[tex]x=10[/tex]
pleas solve 3x - 1+ 5 = 3
Answer:x= -1
Step-by-step explanation:
Which of the following illustrates the product rule for logarithmic equations?
log (4x) = log24 = log2x
log2(4x) = log24-log2x
o log2 (4x) = log24-log2x
log2(4x) = log24+log2x
Since the product of 4x is written as the sum log 4 and log x hence the expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations
Product rule of logarithmAccording to the law of logarithm
log (ab) = loga + logb
The product of log becomes sum
From the given log functions,
log2(4x) = log2(4)+log2(x)
Since the product of 4x is written as the sum log 4 and log x hence the expression log2(4x) = log2(4)+log2(x) illustrates the product rule for logarithmic equations
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How many numbers have an absolute value of 6
Answer:
4
Step-by-step explanation:
Hope this helps
Answer:
Search web.
Web results= absolute value of 6 is 6.
Step-by-step explanation:
Whats the answer?? I'm horrible at math ;-;
Answer:
Matt's Answer.
Step-by-step explanation:
Note that in the equation, you need a radius (r). However, a diameter is given, which is 15 centimeters. This means that, to solve this equation, you must first divide 15 by 2, to be able to continue to solve. In Matt's case, he failed to do that.
~
What is the measure of an angle that turns through 1/3 of a circle
Answer: 360 degrees
Step-by-step explanation:
Multiply by 1/3. 360(1/3)=120.
Final Answer:
The measure of an angle that turns through 1/3 of a circle is 120 degrees.
Explanation:
To find the measure of an angle that turns through 1/3 of a circle, you would follow these simple steps:
1. Understand what a full circle represents in terms of angle measure: A full circle rotation is equal to 360 degrees. This is because a degree is defined such that there are 360 of them in a full rotation.
2. Calculate a third of this full circle: Since we're interested in finding what 1/3 of a full rotation is, you simply divide the full circle angle measure by 3.
So you take the 360 degrees and divide by 3:
360 degrees / 3 = 120 degrees
Therefore, the measure of an angle that turns through 1/3 of a circle is 120 degrees.
Students at freeman middle school have a choice of water, milk, or juice. from a survey, it was determined
Answer:
the probability that exactly three of four randomly selected students do not prefer water is;
P = 125/1296 = 0.096
Completed question:
Students at Freeman Middle School have a choice of water, milk, or juice for breakfast. From a survey, it was determined that 50 students prefer water, 100 prefer juice, and 150 prefer milk. You want to know the probability that exactly three of four randomly selected students do not prefer water.
Step-by-step explanation:
Preference from survey results;
Water = 50
Juice = 100
Milk = 150
Total = 50+100+150 = 300
the probability that a selected students do not prefer water;
P1 = (100+150)/300 =250/300 = 5/6
the probability that a selected students prefer water;
P2 = 50/300 = 1/6
the probability that exactly three of four randomly selected students do not prefer water is;
P = P1 × P1 × P1 × P2
P = (5/6)^3 × 1/6
P = 125/1296 = 0.096
Answer:
0.096
Step-by-step explanation:
A41.0m guy wire is attached to the top of a 32.8 m antenna and to a point on the ground. How far is the point on the ground from the base of antenna, and what angle does the guy wire make with the ground
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Last Tuesday regal cinemas sold a total of 8500 movie tickets. Proceeds totaled $64605. Tickets can be bought in 3ways :matinee cost 5$, students cost 6$ all day and regular cost 8$. How many of each type of tickets was sold if twice as many students tickets were sold as matinee tickets ?
Answer: 485 matinee tickets, 7045 regular tickets and 970 student tickets were sold.
Step-by-step explanation:
Let x represent the number of matinee tickets that were sold.
Let y represent the number of regular tickets that were sold.
Let z represent the number of student tickets that were sold.
Last Tuesday regal cinemas sold a total of 8500 movie tickets. It means that
x + y + z = 8500
Tickets can be bought in 3ways :matinee cost $5, students cost $6 all day and regular cost $8. Proceeds totaled $64605. It means that
5x + 8y + 6z = 64605- - - - - - - - -2
if twice as many students tickets were sold as matinee tickets, it means that
z = 2x
Substituting z = 2x into equation 1 and equation 2, it becomes
x + y + 2x = 8500
3x + y = 8500
y = 8500 - 3x - - - - - - - - - 3
5x + 8y + 6 × 2x = 64605
5x + 8y + 12x = 64605
17x + 8y = 64605- - - - - - - - - 4
Substituting equation 3 into equation 4, it becomes
17x + 8(8500 - 3x) = 64605
17x + 68000 - 24x = 64605
17x - 24x = 64605 - 68000
- 7x = - 3395
x = - 3395/-7
x = 485
z = 2x = 2 × 485
z = 970
Substituting x = 485 and z = 970 into equation 1, it becomes
485 + y + 970 = 8500
1455 + y = 8500
y = 8500 - 1455
y = 7045