The point that is a solution to the system of inequalities is (5, 0)
How to determine the points on the solution?The system of inequalities is given as:
y ≤ 2x + 2
y ≥ -5x + 4
Next, we test the given options.
From the list of options, we have
(x, y) = (5, 0)
Substitute (x, y) = (5, 0) in y ≤ 2x + 2 and y ≥ -5x + 4
y ≤ 2x + 2
0 ≤ 2 * 5 + 2
0 ≤ 12 -- this is true
y ≥ -5x + 4
0 ≥ -5 * 5 + 4
0 ≥ -21 -- this is true
Since both results are true, then it means that the point that is a solution to the system of inequalities is (5, 0)
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Complete question
Which point is a solution to the system of inequalities graphed here? y ≤ 2x + 2
y ≥ -5x + 4
A. (1,6)
B. (-6,0)
C. (0,5)
D. (5,0)
Towns A, B, and C lie on a straight line, as shown below. Jack and Arthur start at Town B and drive for an hour from Town B to Town C, where they stop for an hour to eat lunch. Which of the following graphs could represent their distance from Town A during these two hours?
The situation described by the distance from Town A is the first graph.
Given that cities A,B and C are on straight line.
We are required to find the graph appropriate the given situation.
Distance is basically the measurement of how far two things,places are located.It can be measurement from one point to another .
On the first hour,they leave town B to town C moving farther from Town A,hence the distance is increasing on the first hour.
On the second hour they stop for lunch,meaning that the distance remains constant at the point, it was at the end of the first hour.
Hence if towns A,B C lie on a straight line and Jack and Arthur start at town B and drive for an hour from Town B to Town C then the distance shown from Town A during these two hours is first graph.
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The square below has an area of x2 + 4x + 4 square meters.
What expression represents the length of one side of the square?
Perfect Squares
Write your answer without any spaces. Ex. x+3
Answer:
The side length of a square is the square root of its area. We know that:
x2 + 4x + 4 = (x + 2)2
Therefore, the side length of the square is x + 2
What is the annual interest paid on an account that has a $1000 balance if the rate is [tex]7\frac{1}{2}[/tex]%?
The annual interest paid on the account is $75
How to determine the annual interest
The formula for determining annual interest is given as;
Interest = PRT/100
where;
P is the principal amount = $1000R is the rate = 7. 5%T is the time = 1 year, since it's an annual paymentSubstitute the values
Annual Interest = 1000 × 7. 5 × 1/ 100
Annual interest = 7500/ 100
Annual interest = $75
Thus, the annual interest paid on the account is $75
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3. Choose the two correct transformations for:
Ay
T
R'
RSTU to R'S'T'U'.
S'
A Rotation 180°clockwise
B Reflection across y = x
OC Reflection across y = -x
OD Rotation 180°counterclockwise
What is the value of y?
Enter your answer in the box.
y =
Answer:
64°
Step-by-step explanation:
This is a question on angle properties.
Angle y + 37 + 79 = 180 (Sum of angles in a triangle)
Angle y + 116 = 180
Angle y = 180 - 116 = 64°
Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is Wilma's pay for this work period? Round your answer to the nearest hundredth..
The total pay for hours worked is $980.013
Calculating total pay for the work hours?
The method with which a daily worker's wage is being paid is by calculating the total hours worked and multiplying it with the fixed hourly pay.
From the information given:
Wilma worked for = 38 hours 52 minutesIn hours, we have:
= (38 + 0.9667) hours
= 38.9667 hours
If a fixed hourly pay of $25.15 is being paid, we have:
= $(38.9667 × 25.15)
= $980.012505
= $980.013 to the nearest hundredth.
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How many different anagrams (including nonsensical words) can be made from the letters in the word statistics, using all the letters?
50,400 different anagrams can be made from the letters in the word statistics.
Given word : STATISTICS
Anagrams are words formed by jumbling the positions of the letters given in the word.
For such problems we do factorial of number of words and divide by the repeated letters factorials.
Total number of letters = 10
They can be permutated among themselves in 10! ways.
Some letters are repeated in word STATISTICS
Since, there are 3 S's and 3 T's and 2 I's
So, Number of anagrams = [tex]\frac{10!}{3!.3!.2!}[/tex]
= [tex]\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}[/tex]
= [tex]\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}[/tex]
= 10 × 9 × 8 × 7 × 2 × 5
= 50,400
50,400 different anagrams can be made from the letters in the word statistics.
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Given a triangle ABC at points A = (-6, 3) B=(-4,7) C = (-2, 3), and a first transformation of up 2 and right
3, and a second transformation of down 1 and left 6, what would be the location of the final point B"?
Select one:
O a. (-7,8)
O b. (7,-4)
Oc. (-7,4)
O d. (-1,8)
Given a triangle ABC at points A = (-6, 3) B=(-4,7) C = (-2, 3), and a first transformation of up 2 and right 3, and a second transformation of down 1 and left 6, the final point B" is located at (-7, 8), which is option (a).
What is transformation?In mathematics, a transformation refers to a change or mapping of one set of values to another set. In geometry, a transformation involves changing the position, size, or orientation of a geometric object.
To find the location of the final point B", we need to apply the two transformations given to the initial point B (-4, 7).
First transformation: up 2 and right 3
This means we add 2 to the y-coordinate (to move the point up) and add 3 to the x-coordinate (to move the point right).
So, the new location of B after the first transformation is: (-4 + 3, 7 + 2) = (-1, 9)
Second transformation: down 1 and left 6
This means we subtract 1 from the y-coordinate (to move the point down) and subtract 6 from the x-coordinate (to move the point left).
So, the new location of B" after the second transformation is: (-1 - 6, 9 - 1) = (-7, 8)
Therefore, the final point B" is located at (-7, 8), the correct option is a.
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Need help ASAP! This is due in an hour and this is the last question!!!
the equation with these solutions is:
0 = x^2 - 6x + 6
How to find an equation with the given solutions?
Remember that a quadratic equation with the solutions a and b is written as:
0 = (x - a)*(x - b)
Here we have the solutions:
x = 3 + √3x = 3 - √3Then we can write a quadratic equation of the form:
0 = (x - (3 + √3) )*(x - (3 - √3) )
0 = (x - 3 - √3)*(x - 3 + √3)
Expanding that, we get:
0 = x^2 - 6x + 9 - 3
0 = x^2 - 6x + 6
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Pls answer I’ll mark brainliest if first person is correct
Based on these data, it is better to describe the centers of distribution in terms of: B. median for both coffee shops because the data distribution is not symmetric.
What is a median?A median can be defined as the middle number (center) of a sorted data set, which is typically when the data set is arranged in from the least to greatest or the greatest to least.
In Mathematics, the median of a data set is generally considered to be a better measure of center than the mean when there's an outlier in the data set.
Next, we would calculate the mean and median for the two coffee shops as follows.
For coffee shop A, we have:
Mean = [F(x)]/n
Mean = [12+15+33+45+46+51+52+57]/8
Mean = [311]/8
Mean = 38.875.
Median = (45+46)/2
Median = 91/2
Median = 45.5.
For coffee shop B, we have:
Mean = [F(x)]/n
Mean = [17+16+36+35+12+9+34+15]/8
Mean = [174]/8
Mean = 21.75.
Median = (16+17)/2
Median = 33/2
Median = 16.5.
Since both the mean and median are not close, we can infer and logically deduce that the data distribution isn't symmetric for both coffee shops A and B.
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A.22
B.183
C.246
D.213
Answer:
NMK= 22
Step-by-step explanation:
From N to K equals 177.
N to M equals x
K to M equals to 107
L equals 35
35 177
x 107
it equals to 21.158
Round up to the nearest ones or whole number
Can someone please help me with these problems and show work, if the answer isn’t with work I will remove your comment and you won’t get the points, please help
m∠B = 57.52°, m∠B = 70.8°, AB = 46.03 km and AC = 39.08 ft. This can be obtained using the Laws of cosine formula and Laws of sine formula.
Find the required angles and sides:Laws of cosine formula,In a triangle ABC,
⇒ a² = b² + c² - 2bc cos A
⇒ b² = a² + c² - 2ac cos B
⇒ c² = a² + b² - 2ab cos C
where a, b and c are sides of a triangle and A, B and C are the angles of a triangle.
Laws of sine formula,In a triangle ABC,
⇒ [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
where a, b and c are sides of a triangle and A, B and C are the angles of a triangle.
In the question we can use the laws of cosine formula and laws of sine formula,
5) Given that,
AB = c = 13 km
AC = b = 21 km
m∠A = 91°
By using Laws of cosine formula,
⇒ a² = b² + c² - 2bc cos A
a² = 21² + 13² - 2(21)(13) cos 91°
a² = 441 + 169 - 546 (-0.0174524064)
a² = 610 + 9.52901391 = 619.529014
⇒ a = 24.89 km
By using Laws of sine formula,
⇒ [tex]\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}[/tex]
sin 91°/24.89 = sin B/21
sin B = 0.999847695×21/24.89 = 0.843583833
⇒ m∠B = 57.52°
6) Given that,
AB = c = 11 cm
BC = a = 13 cm
AC = b = 14 cm
By using Laws of cosine formula,
⇒ b² = a² + c² - 2ac cos B
14² = 13² + 11² - 2(13)(11) cos B
196 = 169 + 121 - 286 cos B
196 = 290 - 286 cos B
cos B = 94/286
cos B = 0.328671329
⇒ m∠B = 70.8°
7) Given that,
AC = b = 24 km
BC = a = 26 km
m∠C = 134°
By using Laws of cosine formula,
⇒ c² = a² + b² - 2ab cos C
c² = 26² + 24² - 2(26)(24) cos 134°
c² = 676 + 576 - 1248 (-0.69465837)
c² = 1252 + 866.933646 = 2118.93365
⇒ AB = c = 46.03 km
8) Given that,
AB = c = 26 ft
BC = a = 21 ft
m∠B = 112°
By using Laws of cosine formula,
⇒ b² = a² + c² - 2ac cos B
b² = 21² + 26² - 2(21)(26) cos 112°
b² = 441 + 676 - 1096 (-0.374606593)
b² = 1117 + 410.568826 = 1527.56883
⇒ AC = b = 39.08 ft
Hence m∠B = 57.52°, m∠B = 70.8°, AB = 46.03 km and AC = 39.08 ft.
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A square field was enlarged by adding 5 feet to the length and width of the original field. if the area of the enlarged field is 576 square feet, what was the side length of the original field?
The side length of the original field is 19 feet.
What is square?
A square is a special kind of rectangle (an equilateral one) and a special kind of parallelogram (an equilateral and equiangular one). A square has four axes of symmetry, and its two finite diagonals (as with any rectangle) are equal. Bisection of a square by a diagonal results in two right triangles.Suppose the original square is x feet wide. Since its the length and width are the same,
So, length of side of enlarged field = x+5
Area of new enlarged field = side² = ( x + 5 )²
So, the enlarged shape would be = ( x + 5 ) ( x + 5)
Then , ( x + 5 ) ( x + 5) = 576
( x + 5 )²= 576
x + 5 = √576
x + 5 = 24
x = 24 - 5 ⇒ 19
Hence, The side length of the original field is 19 feet.
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As of 2018, approximately what percentage of americans rely upon television broadcasts for their news?
More than 50% of Americans rely upon television broadcasts for their news.
News, current occasions and ancient programming can help make younger humans extra aware of other cultures and those. Documentaries can help increase vital thinking about society and the arena. television can help introduce teens to classic Hollywood movies and overseas movies that they might not otherwise see.
It broadens the know-how of various cultures, and promotes tolerance and international information of worldwide issues. Through contemporary affairs, discovery, lifestyle, cooking indicates and children's programs, television encourages medical and cultural interest.
Agree with and effect: television is the most relied on a form of marketing and stays maximumly probable to make consumers chortle, circulate them to tears or cause feelings. For example, television is with the aid of a long way the maximum relied on shape of video advertising in Canada. 70% of 18-34-year-olds named tv the most truthful compared to 12% for online video.
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StartFraction 6 Over 7 EndFraction x + one-half = StartFraction 7 Over 8 EndFraction for x?
The value of x in 6/7x + 1/2 = 7/8 is 7/16
How to solve for x?The equation is given as:
6/7x + 1/2 = 7/8
Subtract 1/2 from both sides
6/7x + 1/2 -1/2 = 7/8 -1/2
Evaluate the difference
6/7x = 3/8
Multiply both sides by 7
6x = 21/8
Divides both sides by 6
[tex]x = \frac {7}{16}[/tex]
Hence, the value of x is 7/16
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Solve each of the following systems of equation.
(b.) 3x + y = 1
6x^2 - y^2 - 2y - 3 = 0
(a) The solution to the given system of equations is x = 1, y = 2, z = -3
(b) The solutions to the system of equations are (3.4142, -9.2426) and (0.5858, -0.7574)
Solving system of equationsFrom the question, we are to solve the given system of equations
The given system of equation is
x + y + z = 0 ----------- (1)
2x + z = -1 ----------- (2)
x - y - z = 2 ----------- (3)
Add equations (1) and (3)
x + y + z = 0 ----------- (1)
x - y - z = 2 ----------- (3)
__________
2x = 2
x = 2/2
x = 1
Substitute the value of x into equation (2) to find z
2x + z = -1
2(1) + z = -1
2 + z = -1
z = -1 -2
z = -3
Substitute the values of x and z into equation (1) to determine the value of y
x + y + z = 0
1 + y + -3 = 0
1 + y - 3 = 0
y = 3 -1
y = 2
Hence, the solution to the given system of equations is x = 1, y = 2, z = -3
b.
The given system of equations is
3x + y = 1 --------- (1)
6x² - y² - 2y -3 = 0 --------- (2)
From equation (1)
3x + y = 1
y = 1 - 3x -------- (3)
Substitute into equation (2)
6x² - y² - 2y -3 = 0
6x² - (1 -3x)² -2(1 -3x) -3 = 0
6x² - (1 -3x)(1 -3x) -2 + 6x -3 = 0
6x² - (1 -3x -3x +9x²) -2 +6x -3 = 0
6x² - (1 -6x + 9x²) +6x -5 = 0
6x² -1 +6x -9x² +6x -5 = 0
-3x² +12x -6 = 0
3x² -12x +6 = 0
x² -4x + 2 = 0
Solve the quadratic equation by the formula method,
x = [-b±√(b²-4ac)]/2a
a = 1, b = -4 and c = 2
Thus,
x = [-(-4)±√((-4)²-4(1)(2))]/2(1)
x = [4±√(16-8)]/2
x = (4±√8)/2
x = (4+√8)/2 OR (4 - √8)/2
x = 3.4142 OR x = 0.5858
Substitute the values of x into equation (3)
y = 1 - 3x
When x = 3.4142
y = 1 - 3(3.4142)
y = -9.2426
When x = 0.5858
y = 1 - 3(0.5858)
y = -0.7574
Hence, the solutions to the system of equations are (3.4142, -9.2426) and (0.5858, -0.7574)
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Consider the exponential function g(x) = 1,296 x .
Find the output values for x-values x = –1.75, –1, –0.25, 0, 0.25, 0.50, 0.75, and 1.
The values associated to the exponential function are listed below:
g(- 1.75) = 3.572 × 10⁻⁶g(- 1) = 7.716 × 10⁻⁴g(- 0.25) = 0.167g(0) = 1g(0.25) = 6g(0.50) = 36g(0.75) = 216g(1) = 1 296How to evaluate an exponential function
Herein we have the exponential function [tex]g(x) = 1\,296^{x}[/tex], which has to be evaluated, that is, replacing the variable x by constants and make use of algebra properties until result is found.
g(- 1.75) = 3.572 × 10⁻⁶
g(- 1) = 7.716 × 10⁻⁴
g(- 0.25) = 0.167
g(0) = 1
g(0.25) = 6
g(0.50) = 36
g(0.75) = 216
g(1) = 1 296
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Given these facts, determine how many cans of paint you would need to buy to paint 2 walls.
1st wall: 20 ft. x 8ft.
2nd wall: 40ft. x 8ft.
1 can will cover 200 square feet of wall.
Answer:
3 cans
Step-by-step explanation:
A = lw
a = 20 x 8 = 160[tex]ft^{2}[/tex]
a = 40 x 8 = 320 [tex]ft^{2}[/tex]
Together this is 480 [tex]ft^{2}[/tex]
I would need 3 cans.
Consider these situations. in each situation, is the demand for the good elastic or inelastic? as the price of flat-screen televisions decreases, the quantity demanded increases significantly. as the price of bread decreases, the quantity demanded changes only slightly. as the price of a drug used to treat heart disease increases, the quantity demanded remains unchanged.
Answer:
Step-by-step explanation:
elastic, inelastic, inelastic
Answer: elastic, inelastic, inelastic
Step-by-step explanation:
5x-2y=10
4y+20=10x
Solving systemd
Answer:
The answer is x=2 and y=0.
Step-by-step explanation:
The given Equations are:
5x-2y=10 ----------------- (i)
4y+20=10x ----------------- (ii)
From equation find the value of x, that is:
5x=10+2y (Obtained By adding 2y on both side of Equation (i))
Next divide with 5 on both side to get x:
x=(10+2y)/5 ------------------ (iii)
Put this value of x in equation (ii):
4y+20=10((10+2y)/5)
Simplifying the above equation:
4y+20=2(10+2y)
4y+20=20+4y
From the above equation the solution of y is not possible.
We can make it 0. So,
y=0
Put this value of y in equation (iii), to get value of x:
x=(10+2(0))/5
x=(10+0)/5
x=10/5
x=2
Carmen has taken out a loan for $800 to buy a car. she plans to pay back the loan at a rate of $40 per month. ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month. how long will it take ramona to pay back her loan? a. 25 months b. 20 months c. 15 months d. 10 months please select the best answer from the choices provided a b c d
Answer:a
Step-by-step explanation: 20 x 25=500
suppose that a 2 by 10 rectangular grid of seats is filled with people. On the
blow of a whistle, all 20 people get up from their current seat and move to an orthogonally
adjacent seat. How many ways are there for everyone to do this so that at the end of the
move, each seat is taken by exactly one person?
There are 20! number of ways for everyone to do this so that at the end of the move, each seat is taken by exactly one person.
People are seated in a 2 by 10 rectangle grid. All 20 persons stand up from their seats and relocate to an orthogonally neighboring one upon the blowing of a whistle.
Now, we have to find the number of possible ways in which each seat is taken up by exactly one person after the move.
As the number of people is 20 and 20 seats are to filled exactly once.
So, the number of ways = 20!
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Robert wants to fence a rectangular plot of land of at least $500$ square feet while using the least amount of fencing possible. He wants the width of the plot to be $5$ ft longer than the length. What is the width of the plot
The area of a rectangle is the amount of space it would cover on a 2-Dimensional plane. The required value of the width is 25 feet.
A rectangle is a plane shape with equal opposite sides. Its area can be determined by;
Area of a rectangle = length x width
Considering the given question, let the length of the plot be represented by l and its width as w. Given that the width of the plot should be longer than its length by 5, then we have;
w = l + 5
But,
Area of the plot = length x width
500 = l x (l + 5)
= [tex]l^{2}[/tex] + 5l
This implies that,
500 = [tex]l^{2}[/tex] + 5l
[tex]l^{2}[/tex] + 5l - 500 = 0
Applying the quadratic formula, we have;
l = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) / 2a
a = 1, b = 5, c = -500
= (-5 ± [tex]\sqrt{5^{2} - (4*1*-500)}[/tex]/ 2
= (-5 ± 45) / 2
l = (40) / 2 OR l = (-50) / 2
l = 20 OR l = - 25.5
So that,
l = 20
Therefore, the length of the plot is 20 feet.
Thus the width of the plot can be determined as;
w = l + 5
= 20 + 5
w = 25
The width of the plot is 25 feet.
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The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity.
Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The regression equation that represents the relationship between velocity and time is:
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (t,v), that is, time and velocity, are given as follows:
(0, 6.1), (2.1, 12.2), (5.3, 17.4), (8.2, 26.4), (10, 28.1), (12.1, 32.8).
Hence, inserting these points into a calculator, the equation is given by:
v = 2.19t + 6.7.
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The volume of a cylindrical can of beans is 45 π cubic centimeters. if the diameter is 6 centimeters, what is the height of the can in centimeters?
Answer:
h = 5 cm
Step-by-step explanation:
Givens
d = 6cm
V = 45cubic cm
Formula
V = pi * r^2 h substitute values into the formula
Solution
d = 2*r
6 = 2*r Divide both sides by 2
6/2 = 2r / 2
3 = r
45 pi cm^3 = pi * (3)^2 * h Divide both sides by pi
45 pi/pi = pi * 9 * h / pi
45 = 9h Divide both sides by 4
45/4 = 9h/9
5 cm
Which of the
following satisfies
this graph?
Answer:
C
Step-by-step explanation:
y is greater or equal to 0
x is also greater or equal to 0
you can see that only one answer choice can be the answer
the line is x-y = 2
the upper side is x-y <= 2
proves that c is the answer
x-y ≤ 2
y ≥ 0
x ≥ 0 satisfies this graph. Thus option C is correct.
What is a graph?A schematic or visual presentation that organizes the depiction of data or quantities is known as a graph. The relationships connecting two or more objects are frequently represented by the spots on a graph. They are employed to arrange data in order to highlight correlations and patterns. This data is presented as a pattern on a graph.
When y is bigger than 0 and x is also.
The equation is 2x-y.
x-y ≤ 2 on the upper side of the graph is represented in this same way.
x-y ≤ 2; y ≥ 0 and x ≥ 0 will be the correct represented points in the graph. Therefore, option C is the correct option.
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Use the laplace transform to solve the given initial-value problem. y'' − 8y' 16y = t, y(0) = 0, y'(0) = 1
If the initial value problem is [tex]y^{11} -8y^{1} -15y=0[/tex] and [tex]y^{1}(0) =1[/tex],y(0)=0 then y(t)=[tex](e^{3t} -e^{5t} )/2[/tex].
Given the initial value problem be [tex]y^{11} -8y^{1} -15y=0[/tex]and [tex]y^{1}(0) =1[/tex],y(0)=0.
We are required to find the solution of the given initial value problem.
Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.
Take laplace on the DE, we get
[tex]s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0[/tex]
[tex]s^{2}Y(s)-s(0)-1-8{sY(s)-0)}+15Y(s)=0[/tex]
(Putting the values given in question)
Y(s)=([tex]s^{2} -8s+15)-1=0[/tex]
Y(s)=1/([tex]s^{2} -8s+15[/tex])
Simplifying the above:
=1/([tex]s^{2} -5s-3s+15)[/tex]
=1/[s(s-5)-3(s-5)]
=1/2 [1/(s-3)-1/(s-5)]
Taking inverse of the above we get,
y(t)=[tex](e^{3t} -e^{5t} )/2[/tex]
Hence if the initial value problem is [tex]y^{11} -8y^{1} -15y=0[/tex] and [tex]y^{1}(0) =1[/tex],y(0)=0 then y(t)=[tex](e^{3t} -e^{5t} )/2[/tex].
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What is a31 of the
arithmetic sequence for
which a5 = 12.4 and
ag = : 22.4?
The value of a₃₁ of the arithmetic sequence exists 77.4.
How to find the value of a₃₁ of the arithmetic sequence?Given: a₅ = 12.4 and a₉ = : 22.4
For the arithmetic sequence a₁, a₂, a₃, ..., the n-th term exists
where d = common difference
a₅ = 12.4,
a₁ + 4d = 12.4 .........(1)
Because a₉ = 22.4,
a₁ + 8d = 22.4 .........(2)
Subtract (1) from (2), we get
a₁ + 8d - (a₁ + 4d) = 22.4 - 12.4
4d = 10
Dividing throughout by 4, we get
d = 2.5
From (1), we get
a₁ = 12.4 - 4 [tex]*[/tex] 2.5 = 2.4
a₃₁ = 2.4 + 30 [tex]*[/tex] 2.5 = 77.4
Therefore, the correct answer is a₃₁ = 77.4
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How do I rewrite 1/4 book 1/3 hour as a unit rate?
The unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
Unit rateUnit rate is the rate of a quantity in terms of another quantity per unit.
Number of books = 1/4Number of hours = 1/3Unit rate(books per hour) = Number of books / Number of hours
= 1/4 ÷ 1/3
= 1/4 × 3/1
= (1×3) / (4×1)
= 3/4 books per hour
Therefore, the unit rate of 1/4 book 1/3 hour in books per hour is 3/4 books per hour.
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Find the circumference of a circle with radius of 4.2in.
Answer: 26.39
Step-by-step explanation:
2xπxr
