Answer:
The answer is: 13 minutes
Step-by-step explanation:
First Let us form equations with the statements in the two scenario
[tex]time=\frac{distance}{speed}[/tex]
Let the time in which the bell rings be 'x'
1. If Andrew walks (50 meters/minute), he arrives 3 minutes after the bell rings. Therefore the time of arrival at this speed = (3 + x) minutes
[tex]3 + x =\frac{distance}{50}\\distance = 50(3+x) - - - - - (1)[/tex]
2. If Andrew runs (80 meters/minute), he arrives 3 minutes before the bell rings. Therefore the time taken to travel the distance = (x - 3) minutes
[tex]x - 3 = \frac{distance}{80} \\distance = 80(x-3) - - - - - (2)[/tex]
In both cases, the same distance is travelled, therefore, equation (1) = equation (2)
[tex]50(3+x)=80(x-3)[/tex]
[tex]150 +50x=80x-240\\[/tex]
Next, collecting like terms:
[tex]150 + 240 = 80x - 50x\\390 = 30x\\30x = 390\\[/tex]
dividing both sides by 3:
x = 390÷30 = 13
∴ x = 13 minutes
4/5 (x − 20) = 8 solve it
Answer:
30
Step-by-step explanation:
4/5 (x-20)=8
4/5x-4/5*20=8
4/5x-16=8
4/5x=24
x=(24*5)/4
x=30
hope it helps..
Now use technology and use the cumulative probability 0.95, the mean muequals10.5, and the standard deviation sigmaequals4.10 to determine the value for x0, rounding to one decimal place.
Answer:
18.5
Step-by-step explanation:
In the above question, we are given the following values
Cumulative probability ( confidence interval) = 0.95 = 95%
Mean = 10.5
Standard deviation = 4.10
We are asked to find the value of x.
To solve for x , we would be using the z score formula.
z score = (x-μ)/σ,
where x is the raw score,
μ is the population mean
σ is the population standard deviation
z score was not given in the question, but we have our cumulative probability as 95%(0.95).
Using the appropriate table,
the z score for 95% confidence is z = 1.96.
Therefore,
z score = (x-μ)/σ,
1.96 = x - 10.5/4.10
Cross multiply
1.96×4.10 = x - 10.5
x = (1.96 × 4.10) + 10.5
x = 8.036 + 10.5
x = 18.536
Approximately to 1 decimal place
x = 18.5
Efren is constructing a line parallel to EF¯¯¯¯¯ through point G. What step should be his next step? With the compass point on D, construct an arc that intersects EF¯¯¯¯¯ and GD←→ . With the compass point on G, construct an arc that intersects GD←→ . With the compass point on D, construct an arc that intersects EF¯¯¯¯¯ twice. With the compass point on G, construct an arc that intersects EF¯¯¯¯¯ .
Answer:
The correct option is;
With the compass point on G, construct an arc that intersect GD←→
Step-by-step explanation:
The steps for constructing a parallel line to a given point is as follows;
1) With the straightedge, a transversal is drawn intersecting the giving line and passing through point G
2) Copy the angle formed between the transversal and the given line and the to the point G starting by constructing an arc with the compass on point G to intersect GD←→ then with the compass opening still the same, place the compass on the point of intersection of the arc constructed from point G on GD and construct another arc to intersect the arc previous arc from G to GD
3) The line drawn from the intersection through is a parallel line to EF
Therefore, the correct option is that with the compass point on G, construct an arc that intersect GD←→.
Answer:
A. With the compass on point D , construct an arc that intersects EF¯¯¯¯¯ and GD←→.
Step-by-step explanation:
I just took the test!
I need help with this question! solve “k” -19=b-6
k = b + 13
Step-by-step explanation:k - 19 = b - 6
k = b + 19 - 6
k = b + 13
Answer:
[tex]\boxed{k=b+13}[/tex]
Step-by-step explanation:
[tex]k-19=b-6[/tex]
Add 19 on both sides.
[tex]k-19+19=b-6+19[/tex]
[tex]k=b+13[/tex]
Nadia built a robot to filter air and water efficiently. She expects the robot to filter more than 343 liters of
air and water while using less than 49 Joules of energy.
12A + 8W > 343 represents the number of minutes the robot filters air A and water IV to hiter more
than 343 liters of air and water.
3A +41V < 49 represents the number of minutes the robot hiters air and water while using less than 49
Joules of energy
Does the robot meet both of Nadia's expectations by filtering air for 20 minutes and filtering water for 15
minutes?
Choose 1 answer.
A. The robot meets both of Nadia's expectations.
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount
of energy
C. The robot uses the expected amount of energy, but it doesn't filter the expected amount of air
and water.
D. The robot doesn't meet either of Nadia's expectations.
Answer:
The correct option is;
B. The robot filters the expected amount of air and water, but it doesn't use the expected amount of energy
Step-by-step explanation:
The given requirements are;
Volume of air and water to be filtered by the robot = 343 liters
The amount of energy consumed by the robot < 49 joules
The number of minutes the robot filters air and water to filter more than 343 liters = 12A + 8W > 343
The number of minutes the robot filters air and with less than 49 Joule of energy = 3A + 4W < 49
Given that filtering air takes 20 minutes, filtering water takes 15 minutes, we have;
To filter more than 343 liters, we have
12*20 + 8*15 = 360 > 343
The robot meets the amount of air and water requirement
To filter with less than 49 joules we have
3*20 + 4*15 = 120 > 49
Therefore, the robot does not meet the energy requirement
The correct option is the robot filters the expected amount of air and water, but it doesn't use the expected amount of energy.
Find the area of the triangle.
Answer:
10.5 cm^2
Step-by-step explanation:
Since we have two sides and the angle between those sides, we can use the alternative area formula:
[tex]A=\frac{1}{2}ab\sin(C)[/tex]
a and b are the two sides while C is the angle in between the two sides.
Plug in the numbers:
[tex]A=\frac{1}{2}(7)(6)\sin(150)[/tex]
Recall the unit circle. Sin(150) is 1/2.
[tex]A=21(\frac{1}{2})[/tex]
[tex]A=21/2=10.5cm^2[/tex]
? Given: All US area codes are three-digit numbers that use the numerals 0 to 9. Step 1: How many area codes are possible if the first digit can't be 0? Use your keyboard and the keypad to enter your answer. Then click Done.
Answer:
1-9, 1929
Step-by-step explanation:
You do the arithmetic and then study the us government postal codes and then you do kid behavior with my names. So, you get 1929 basically, in a nutshell, forever incessantly. thank yopu
PLEASE HELP MEEEE
I need help finding x a b and c
Answer:
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Step-by-step explanation:
b=7x
sum of straight angle :=180
isoceles traingle = 2 sides are equal, and two angles are equal
b+a=180
7x+a=180
sum of traingle =180
2a+c=180
2a+2x=180 first equation
7x+a=180 second equation
solve by elimination ( multiply second equation by 2)
2a+2x=180
2a+14x=360 ( subtract)
2a+2x-2a-14x=180-360
-12x=-180
x=-180/12=
x=15
angle b=7*15=105
angle a=180-105=75
angle c=2x=30
Solve the equation using the zero-product property. (2x − 8)(7x + 5) = 0 x = –2 or x = 7 x = –4 or x = x = 4 or x = x = 4 or x =
Answer:
x = 4 or x = - [tex]\frac{5}{7}[/tex]
Step-by-step explanation:
Given
(2x - 8)(7x + 5) = 0
Equate each factor to zero and solve for x
2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4
7x + 5 = 0 ⇒ 7x = - 5 ⇒ x = - [tex]\frac{5}{7}[/tex]
A ladder leaning against a wall makes a 35° angle with the ground. The foot of the ladder is 5 meters from the wall. What is the length of ladder?
Greetings from Brasil...
Using Cossine we will get the length L of ladder
COS 35 = 5/L
L = 6,1the length of a rectangular plot of land exceeds the width by 7 m if the area pf the plot is 198 m square what is the length
Answer:
28.142m
Step-by-step explanation:
area of rectangle=width x lenght
so; (rotating the formula with what is given)
area of rectangle/width=lenght
197/7=lenght
28.142m =lenght
Answer:
Length is 18 m and width is 11 m
Step-by-step explanation:
So based on the information given length is seven cm more than your width, and since we don’t know the values of these, we can plot this information into a formula that looks like this: (x+7)(x)=198, which is basically how you take the area of the plot of land.
If you multiply your values, you will get a quadratic equation that looks like this x²+7x-198. If you follow the quadratic formula to solve this equation, the positive result you will get for x is 11, this is your width. And since length exceeds by 7, you just add 7 to 11 to find the length, which ends up being 18.
to verify, you can simply multiply these two values
Solve, graph and give the solution in interval notation 3x+6<12
Answer:
Step-by-step explanation:
3x + 6 < 12
-6 -6
3x < 6
x < 2
x < 2
<------------o
2
n unknown number y is 10 more than an unknown number x. The number y is also x less than 3. The equations to find x and y are shown below. y = x + 10 y = −x + 3 Which of the following statements is a correct step to find x and
Answer:
Add the equations to eliminate x.
Step-by-step explanation:
(1) y = 10 + x
(2) y = 3 - x
An easy way to solve this problem is to add the two equations to eliminate x.
(3) 2y = 13
From here, you can calculate y and then x.
What is the equation of a line, in general form, that passes through points (-1, 2) and (5, 2)? A. y - 2 = 0 B. y - x - 2 = 0 C. x - 2 = 0
Answer:
y=2 or y-2=0
Step-by-step explanation:
to find the equation first find the slope m points (-1,2) and (5,2)
m=y2-y1/x2-x1 =2-2/5-(-1)=0/6=0
y=mx+b the slope is zero then y=b=2
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
Answer:
(10, 17)
Step-by-step explanation:
It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.
Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)
From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.
y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.
The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.
x: 4+6 = 10
y: 8+9=17
The fruit market is at point (10,17)
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates
[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]
[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]
Tia is at P(4, 8) and Lei is at Q(12, 20).
The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1
So,
[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]
Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.
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What is the domain of the function f(x) 2/5 startroot x = ? all real numbers all real numbers less than 0 all real number less than or equal to 0 all real numbers greater than or equal to 0
Answer:
[tex]\boxed{\sf all \ real \ numbers \ greater \ than \ or \ equal \ to \ 0}[/tex]
Step-by-step explanation:
The domain of a function is all possible values for x.
[tex]\sf f(x)=\frac{2}{5} \sqrt{x}[/tex]
There are restrictions on x.
The square root of a number can be undefined if that number is less than 0.
The value of x is all real numbers greater than or equal to 0.
The domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero. Then the correct option is C.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = (2/5)√x
The value under the square root should not be negative. Then the equation is given below.
x ≥ 0
Then the domain of the function f(x) = (2/5)√x will be all real numbers greater than or equal to zero.
Then the correct option is C.
More about the function link is given below.
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A printer ink cartridge that can print 550 pages has already printed 127 pages. Which solution represents the correct equation and answer to the question, "How many more pages, P, can still be printed?"
P + 127 = 550 P = 423
Answer:
P = 423
P + 127 = 550
Step-by-step explanation:
Someone please explain
Area of a triangle is 1/2 x base x height.
The graphed triangle has height of 2 and base of 2.
Area = /2 x 2 x 2 = 2 square units.
The triangle gets enlarged by a scale factor of 2, so the new height would be 2 x 2 = 4 and the new base would be 2 x 2 = 4
Area of enlarged triangle = 1/2 x 4 x 4 = 8 square units.
The answer is C) 8
Use the elimination method to solve the ststem of equations.choose the correct ordered pair 10x+2y=22 3x-4y=-21
Answer:
x=1 and y=6
Step-by-step explanation:
10x+2y=22
3x-4y=-21
First at all, you have to multiply both sides of this equation of 10x+2y=22, like this,
2(10x+2y)=2*22
*Put the 2 for the both sides.
Then, expand them.
20x+4y=44
When we have 20x+4y=44, we can eliminate with another equation.
20x+4y=44
3x-4y=-21
So, the first equation has +4y and the second equation has -4y, so we can use elimination method to eliminate one variable.
This time we can sum these equation to get one variable to get the answer easily. Like this...
20x+4y=44
3x-4y=-21
to become...
23x=23
x=23/23
x=1
When we get the equation like this, we can divide 23 by 23, so we can get the value of x. So, the value of x is 1.
When we know x is equal to 1, we can do the last part substitute x=1 into the second equation which is 3x-4y=-21.
The following steps is like this:
Substitute x=1 into 3x-4y=-21,
3(1)-4y= -21
3-4y= -21
Move the 3 to the another side, like this;
-4y= -21-3
-4y= -24
y= -24/ -4
y=6
*Be careful! When you calculate -24/-4 , you have to know how to eliminate the negative sign. (-) / (-) = +
Negative number divided by negative number is equal to positive number.
So, here we go! the value of x is 1 and the value of y is 6.
That is my solution and explanation from me. I hope you can understand. Bye!
PLs help asap will make brainlist I need to finish this
Answer:
B. 33
Step-by-step explanation:
45/30 = x/22
3/2 = x/22
2x = 3 * 22
x = 3 * 11
x = 33
Answer:
B. 33
Step-by-step explanation:
39 / 26 = 1.5
45 / 30 = 1.5
22 x 1.5 = 33
Solve the inequality for y.
y - 9x > 6
please help!!!!!!!
Answer:
y>9x+6
Step-by-step explanation:
y-9x+(9x)>6+(9x)
y>9x+6
If anyone doesn't mind helping may you plz help me
Answer:
SAS
Step-by-step explanation:
Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
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keep rocking
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Write an equation in slope-intercept form for the line with slope 1/4 and y-intercept -1. PLEASE HELP MEEE : (
Explanation:
We have the general slope intercept form y = mx+b. All we do is replace m with the given slope 1/4, and replace b with the y intercept -1.
So we have y = mx+b turn into y = (1/4)x+(-1) which simplifies to y = (1/4)x-1.
11. John has a life insurance policy that will pay his family $32,000 per year if he dies. If interest rates are at 2.5% when the insurance company has to pay, what is the amount of the lump sum that the insurance company must put into a bank account?
Answer:
$1280000
Step-by-step explanation:
Given that :
John has a life insurance policy that will pay his family $32,000 per year if he dies
If interest rates are at 2.5% when the insurance company has to pay
The amount of the lump sum that the insurance company must out into a bank account can be determined by the division of the amount to be paid by the interest rate.
i.e
the amount of the lump sum = $32000/2.5%
the amount of the lump sum = $32000/0.025
the amount of the lump sum = $1280000
The ratio of Ed's toy cars to Pete's toy cars was initially 5:2. After Ed gave 30 toy cars to Pete, they each had an equal number of cars. How many toy cars did they have altogether?
Answer:
140 toy cars
Step-by-step explanation:
The ratio of Ed's toy car to Pete's toy car is initially given as 5:2
Ed gave Pete a total number of 30 cars
Let x represent the greatest common factor that exists between both number
Number of Ed's car is represented as 5x
Number of Pete car is represented as 2x
Since they each have an equal number of cars which is 30 then we can solve for x as follows
5x-30=2x+30
Collect the like terms
5x-2x= 30+30
3x= 60
Divide both sides by the coefficient of x which is 3
3x/3=60/3
x=20
Ed's car is 5x, we substitute 20 for x
5(20)
= 100 cars
Pete car is 2x,we substitute 20 for x
2(20)
= 40 cars
Therefore, the total number of cars can be calculated as follows
= 100+40
= 140 toy cars
Hence they have 140 toy cars altogether
Answer:
140
Step-by-step explanation:
What is the slope of the line in the graph? A.2 B.1/2 C.-2 D.-1/2
Step-by-step explanation:
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El equipo de béisbol de los Gatos Salvajes de Ludlow, un equipo de las ligas menores de la organización de los Indios de Cleveland, juega 70% de sus partidos por la noche y 30% de día. El equipo gana 50% de los juegos nocturnos y 90% de los diurnos. De acuerdo con el periódico de hoy, ganaron el día de ayer. ¿Cuál es la probabilidad de que el partido se haya jugado de noche?
Answer:
0.5645
Step-by-step explanation:
De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow
Probabilidad de jugar de noche = 70% = 0.7
Probabilidad de ganar en la noche = 50% = 0.5
Probabilidad de jugar durante el día = 30% = 0.3
Probabilidad de ganar durante el día = 90% = 0.9
Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =
(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]
Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)
= 0.35 ÷ 0.35 + 0.27
= 0.35 ÷ 0.62
= 0.5645
La probabilidad de que el partido se haya jugado de noche = 0.5645
Which expression is equivalent to
-21/4over -2/3
Answer:
[tex]\frac{9}{4}/\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] is equilavalent to [tex]-\frac{9}{4\\}[/tex].
[tex]-\frac{2}{3}[/tex] can stay put.
The equation is division so neither answers #2 and #3 are the correct ones because when dividing fractions the second fraction has to be flipped in order to continue multiplying instead.
In addition, when two negatives are put together the answer must always be positive.
Hence the answer is [tex]\frac{9}{4}/\frac{3}{2}[/tex].
An oblique cylinder has a radius of 10 units and slant length of 26 units. An oblique cylinder has a radius of 10 units and a slant length of 26 units. What is the volume of the cylinder? 2,400π cubic units 2,500π cubic units 2,600π cubic units 2,700π cubic units
The volume of the oblique cylinder with the given parameters is: 2,400π
What is the Volume of an Oblique Cylinder?Volume of an oblique cylinder = πr²h
r is the radius, h is the height of the cylinder.
Given the following:
r = 10 unitsSlant height (l) = 26 unitsh = √(26² - 10²) = 24 units [Pythagorean Theorem]Volume of oblique cylinder = π(10²)(24)
Volume of oblique cylinder = 2,400π
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Answer: a
Step-by-step explanation: