Answer:
c. 9x, 2, 8y
Step-by-step explanation:
Given the equation 2x+3y=6. Write the equation of the line in slope-intercept form.
What is the area?
2 yd
8 yd
5 yd
Answer:
28
Step-by-step explanation:
I assume the polygon is a trapezoid with parallel bases of 2 yd and 5 yd, and an altitude of 8 yd.
area of trapezoid = (base1 + base2)h/2
area = (2 yd + 5 yd)(8 yd)/2
area = 28 yd²
2. A(n) is NOT an example of an agreement. (1 point)
O lease
O month-to-month
O annual
O fine print
An Annual is not an example of an agreement.
Hove
Find the average rate of change indicated below.
y = 4x+1
[-1, 1)
A.15
B.3.75
C.1.875
D.7.5
The average rate of change of the function over the interval is 4
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
y = 4x + 1
The interval is given as
[-1, 1)
The function is a linear function
This means that it has a constant average rate of change
From y = 4x + 1, we have
Rate = 4
Hence, the rate is 4
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Given AC and BD bisect each other at O prove AC is congruent to c
The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .
Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.
We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.
Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)
Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.
Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD
Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC
Therefore, AC is congruent to c .
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The quotient of twenty and a number, decreased by 4, is equal to zero
The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say that number is x,
Quotients of 20 and x will be given as 20/x
20/x - 4 = 0
20/x = 4
x = 20/4 = 5
Hence"The equation associated with the quotient of twenty and a number, decreased by 4, is equal to zero is 20/x - 4 = 0 and that number will be 5".
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Calculate the distance between the points (4,-2) and (7,-9)
The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.
The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).
The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values:
d = sqrt((7 - 4)^2 + (-9 - (-2))^2)
d = sqrt((3)^2 + (-7)^2)
d = sqrt(9 + 49)
d = sqrt(58)
Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.
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-7 = p/4
Please help
5/8 + 3/4 / -2/3- 5/6.
Answer:
-5/16 or -0.3125
Step-by-step explanation:
Answer:
-11/12
Step-by-step explanation:
Fyi you can use the app photo math you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
A school is arranging a field trip to the zoo. The school spends 778.88 dollars on passes for 28 students and 4 teachers. The school also spends 241.64 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
The total money spent on a pass and lunch for each student is $850.14.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.
here,
As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.
Total number of person = 28 + 4
= 32
Cost per pass = 778.88 / 32
= $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14
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please answer asap no trolls!
Answer:
Yes.
Step-by-step explanation:
3.5 + 5.5 > 7.8
Which expression is equivalent to 2m + 3m + 3(2m + 4) ?
A. 15m
B. 14
C. 11m + 12
D. 7m + 7
Answer:
11m + 12
Step-by-step explanation:
2m + 3m + 3(2m + 4)
=> 5m + 3(2m + 4)
=> 5m + 3(2m) + 3(4)
=> 5m + 6m + 12
=> 11m + 12
State whether the pair of sets is equal, equivalent, or neither.
{2, 4, 6, 8) and (2, 4, 6, 8, ...}
Using set concepts, it is found that the sets are neither equal nor equivalent.
--------------------------
Two sets are equal if they have the same elements.Two sets are equivalent if they have the same number of elements.The first set is {2, 4, 6, 8}, which has 4 elements.The second set is {2, 4, 6, 8, ...}, the ... meaning that it continues, 10, 12, ..., and has infinite elements.The sets have different number of elements, thus, they are not equivalent.Elements of the second set such as 10, 12, ..., are not part of the first set, thus they are not equal.Thus, they are neither equal nor equivalent.A similar problem is given at https://brainly.com/question/24478458
Jonathan drove his motorcycle on the highway at 160 miles per hour. His speed increased every three seconds as the roads got wider. What is the rate of change?
We can presume that x is a positive number because we are aware of the widening of the roadways and the increase in Jonathan's speed. It takes three seconds for Jonathan's speed to change by 234.67 + 2x feet per second.
In plain English, what is speed?the definition of speed. a direction or speed at which an object's location changes. The distance travelled relative to the time it took to travel that distance is how fast something is moving.
What does science mean when it refers to speed?In contrast to velocity, which describes the speed and direction of an object's movement, speed is the rate of movement along a path. Alternatively, velocity is a vector while speed is a scalar quantity.
Let's first convert Jonathan's initial speed of 160 miles per hour to feet per second, since we're measuring the change in speed every three seconds.
160 miles per hour = 160 * 5280 feet per hour = 844800 ft/h
= 844800/3600 ft/s (since there are 3600 seconds in an hour)
= 234.67 ft/s (rounded to two decimal places)
Now, let's assume that Jonathan's speed increases by x feet per second every three seconds. After three seconds, his new speed will be 234.67 + x feet per second. After another three seconds, his speed will be 234.67 + 2x feet per second, and so on.
Since we know that the roads are getting wider and Jonathan's speed is increasing, we can assume that x is a positive number.
Therefore, the rate of change of Jonathan's speed is 234.67 + 2x feet per second every three seconds.
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Karen finished watching a movie at 1:10pm. The movie lasted 1 hour 38 minutes. Click on the time Karen started watching the movie.
Answer:
11:32
Step-by-step explanation:
Karen probably started watching the movie at 11:32 because 11:32 + 1:38 = 1:10.
32+ 38= 70, so 11:00 + 70 = 12:10, plus 1 hour = 1:10.
Answer:
11:32
Step-by-step explanation:
the formula S=√SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a coube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
Answer:
1.01 m
Step-by-step explanation:
The following formula gives the side length (s) of a cube with a surface area (SA):
\(s=\sqrt{\dfrac{SA}{6}}\)
If a cube has a surface area of 180 m², then its side length is:
\(s=\sqrt{\dfrac{180}{6}}\)
\(s=\sqrt{30}\; \sf m\)
If a cube has a surface area of 120 m², then its side length is:
\(s=\sqrt{\dfrac{120}{6}}\)
\(s=\sqrt{20}\)
\(s=\sqrt{4 \cdot 5}\)
\(s=\sqrt{4} \sqrt{5}\)
\(s=2\sqrt{5}\; \sf m\)
To calculate how much longer the side of a cube with a surface area of 180 m² is than a cube with the surface area of 120 m², subtract the side lengths:
\(\begin{aligned}\sqrt{30}-2\sqrt{5}&=1.0050896...\\\\&= 1.01\; \sf m\; (nearest\;hundredth)\end{aligned}\)
Therefore, the side of the cube with a surface area of 180 m² is 1.01 m longer than the side of the cube with a surface area of 120 m².
A producer wishes to determine the equilibrium price and quantity of his good in the market. He estimated the market demand and supply function as follows demand :P=q^2+13/2q+64 and supply: P= 10q^2-45/2q-164
The equilibium price is 163.39 and the supply quantity is 150
He estimated the market demand and supply function as follows demand :P=q²+13/2q+64 and supply: P= 10q²-45/2q-164
We need to find the equilibium price
The equilibrium price (EP) is the price where the demand for a product or service balances its supply. .
At equilibium price
Demand function = supply function
q²+13/2q+64 = 10q²-45/2q-164
(10 - 1)q² - (45/2 + 13/2)q - (164 + 64) = 0
9q² - 29q - 228
q = 6.895 = 6.9
The equilibium price = 6.9² + (13/2)6.9 + 64
= 163.36
similarly putting the value of q in supply function we get supply quantity ie 149.95 = 150
Therefore, the equilibium price is 163.39 and the supply quantity is 149.95 = 150
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The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.
If a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.
Answer:
The mean of the sample distribution of the sample mean is the same as the population mean, which is 40 dollars. The standard deviation of the sample distribution of the sample mean (also called the standard error) is given by:
standard error = standard deviation / sqrt(sample size) = 8 / sqrt(49) = 8 / 7
To find the probability that the sample mean would be less than 37.4 dollars, we need to standardize the sample mean using the standard error and then look up the probability from a standard normal distribution table. The z-score for a sample mean of 37.4 dollars is:
z = (37.4 - 40) / (8 / 7) = -1.225
Looking up this z-score in a standard normal distribution table, we find that the probability of getting a sample mean less than 37.4 dollars is 0.1103 (rounded to four decimal places). Therefore, the probability that the sample mean would be less than 37.4 dollars is 0.1103.
give thanks, your welcome <3
Step-by-step explanation:
A large cargo ship dropped anchor in the ocean. The anchor was released at a constant rate rate of speed from a height of 44 meters
Answer:
C and E
Step-by-step explanation:
The change in elevation was 44 + 20 = 64 m
the rate of fall was 64 m / 32 s = 2 m/s
The anchor reached the surface in 44 / 2 = 22 s so C is valid
E is correct as the ocean surface is origin and Up is the positive direction.
The anchor starts at 44 m above the surface and position is lower by 2 meters every second
From the question, the two correct options about the speed with which the anchor was released are:
Option COption EHow to solve for the solutionFirst we have to calculate the change that occurred in the elevation. Initially it was 44 meters but dropped 20 m below water.
44 + 20 = 64 meters
Next we calculate the rate with which the fall occurred
The time with which it fell was 32 seconds. = 64/32 = 2 meters pers second
44/2 = 22 hence it can be concluded that C is right.
Option E is also correct given that the water surface is above the ground and it is positive
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At the end of the spring semester, the dean of students sent a survey to the entire freshman class. One question asked the students how much weight they had gained or lost since the beginning of the school year.
The average was a gain of µ = 15 pounds with a standard deviation of
σ = 6. The distribution of scores was approximately normal.
A sample of n = 4 students is selected, and the average weight change is computed for the sample.
What is the probability that the sample mean will be greater than M = 10 pounds? In symbols, what is p (M > 10) (four decimals)
The probability that the sample mean will be greater than M = 10 pounds is 0.9525.
What is probability?
Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating the event is impossible and 1 indicating it is certain. Probability is used in many fields, including mathematics, statistics, science, and finance.
To solve this problem, we need to use the central limit theorem (CLT), which states that the distribution of sample means will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough.
Since the sample size is small (n = 4), we need to use the t-distribution instead of the normal distribution. However, since the population standard deviation is known, we can use the standard normal distribution with a z-score.
First, we need to calculate the standard error of the mean:
SE = σ / sqrt(n) = 6 / sqrt(4) = 3
Next, we can calculate the z-score:
z = (M - µ) / SE = (10 - 15) / 3 = -1.67
Finally, we can use a standard normal distribution table or calculator to find the probability of a z-score greater than -1.67:
p(M > 10) = P(z > -1.67) = 0.9525 (rounded to four decimals)
Therefore, the probability that the sample mean will be greater than M = 10 pounds is 0.9525.
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Mrs. Mathews buys deli meat for her kids lunches every week. This week she buys 3.75 pounds of ham. If she used 0.25 pounds of ham for each sandwich, how many sanwhiches can she make?
it's good but if u r hard-working
Answer:
15 sandwiches
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Mark this and return
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What is the range of the function on the graph?
all the real numbers
O all the real numbers greater than or equal to 0
all the real numbers greater than or equal to 2
all the real numbers greater than or equal to -3
The range of the function on the graph is C. all the real numbers greater than or equal to –3 .
How to get the range?We can see by the graph maximum value of y of function is -3 and the graph continues to extend upward .
So, the range contain all the real numbers greater than or equal to –3 .
Therefore, the range contain all the real numbers greater than or equal to –3 .
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The units of an item available for sale during the year were as follows: Jan. 1 Inventory 50 units at $124 Mar. 10 Purchase 60 units at $132 Aug. 30 Purchase 20 units at $138 Dec. 12 Purchase 70 units at $142 There are 80 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the ending inventory cost and the cost of goods sold by three methods. Round interim calculations to one decimal and final answers to the nearest whole dollar. blank Cost of Ending Inventory and Cost of Goods Sold Inventory Method Ending Inventory Cost of Goods Sold First-in, first-out (FIFO) $fill in the blank 1 $fill in the blank 2 Last-in, first-out (LIFO) fill in the blank 3 fill in the blank 4 Weighted average cost fill in the blank 5 fill in the blank 6
Ending Inventory Cost and Cost of Goods Sold using different inventory methods:
FIFO Method:
Ending Inventory Cost: $11,920
Cost of Goods Sold: $15,068
LIFO Method:
Ending Inventory Cost: $11,996
Cost of Goods Sold: $15,123
Weighted Average Cost Method:
Ending Inventory Cost: $11,974
Cost of Goods Sold: $15,087
Using the FIFO (First-In, First-Out) method, the cost of the ending inventory is determined by assuming that the oldest units (those acquired first) are sold last. In this case, the cost of the ending inventory is calculated by taking the cost of the most recent purchases (70 units at $142 per unit) plus the cost of the remaining 10 units from the March 10 purchase.
This totals to $11,920. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory at $124 per unit, 60 units from the March 10 purchase at $132 per unit, and 20 units from the August 30 purchase at $138 per unit), which totals to $15,068.
Using the LIFO (Last-In, First-Out) method, the cost of the ending inventory is determined by assuming that the most recent units (those acquired last) are sold first. In this case, the cost of the ending inventory is calculated by taking the cost of the remaining 10 units from the December 12 purchase, which amounts to $1,420, plus the cost of the 70 units from the August 30 purchase, which amounts to $10,576.
This totals to $11,996. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,123.
Using the Weighted Average Cost method, the cost of the ending inventory is determined by calculating the weighted average cost per unit based on all the purchases. In this case, the total cost of all the purchases is $46,360, and the total number of units is 200.
Therefore, the weighted average cost per unit is $231.80. Multiplying this by the 80 units in the physical inventory at December 31 gives a total cost of $11,974 for the ending inventory. The cost of goods sold is calculated by taking the cost of the units sold (50 units from the Jan. 1 inventory, 60 units from the March 10 purchase, and 20 units from the August 30 purchase), which totals to $15,087.
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Petra bought some art supplies from an online retailer. The retailer charges a $5.95 shipping fee or 7.5% of the total purchase, whichever is
greater. If Petra's total purchase is $75,99, how much shipping will she pay?
Answer:
$81.94
Step-by-step explanation
I would subtract 5.95 to 75.99 first and get a total of 70.04 and put it off to the side then I would find out what 7.5 of the total purchase is (75.99) and that is 5.70 rounded and in the paragraph it said "whatever one is bigger" and in this case the 5.95 is bigger so you would add that to your total and get $81.94
Suzy orders supplies for quick stop gas station and she needs to order additional lids for the disposable soda cups. She knew that the top of the cup had a diameter of 3 inches. Which size lid does she need to purchase from the soda cups?
If Suzy orders supplies for quick stop gas station and she needs to order additional lids for the disposable soda cups. The size that lid need to purchase from the soda cups is 9.42in.
How to find the circumference ?Using this formula to find the size that lid need to purchase from the soda cups
C= πd
Where:
C = circumference = ?
π =constant pi = 3.14
d = diameter = 3
Let plug in the formula
C = 3.14 × 3
C = 9.42 in
Therefore we can conclude that the size that lid need to purchase from the soda cups is 9.42in.
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HELP PLEASEEEEEEE!!!!!
The similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
What are similar shapesSimilar shapes are two or more shapes that have the same shape, but different sizes. In other words, they have the same angles, but their sides are proportional to each other. When two shapes are similar, one can be obtained from the other by uniformly scaling (enlarging or reducing) the shape.
Given that the shape EFGH is a smaller shape of JKLM, and they are similar, then:
the measure of angle Z is equal to 65°
the side EF corresponds to JK and side FG corresponds to KL, so:
8/20 = 11/x
x = (11 × 20)/8 {cross multiplication}
x = 27.5
the side EF corresponds to JK and EH corresponds to JM, so:
8/20 = y/30
y = (30 × 8)/20 {cross multiplication}
y = 12
Therefore, the similar shapes EFGH and JKLM have the measurement of angle Z equal to 65°, the length x = 27.5 and the length of y = 12
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Complete the pattern.
16,23,25
Please helppp. I can’t figure it out!
The complete pattern of 16,23,25 ,... is 16, 23, 30, 37,44...
Simple number series form the basis of the issue. There are recurring themes throughout this series. The solution would be relatively simple to locate once we discovered or decoded the pattern. Now, for the series shown above, we can see that the following term is created by multiplying the previous term by 7. This is continued through the series' final term.
16 is the first term.
Now, if we add 7 to 16 we get 23, which is the next term. 16+7=23
Now, if we multiply 7 by 23 we get 30. 23+7=30
30 plus 7 equals 37 once more.
We shall increase 37 by 7 to account for the empty space. 37+7=44
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Help me please!!!٩(๑꒦ິȏ꒦ິ๑)۶
the 1st one
9514 1404 393
Explanation:
Add sin(θ)
cos(θ) = sin(θ)
Divide by cos(θ)
1 = sin(θ)/cos(θ) = tan(θ)
Square both sides
1 = tan²(θ)
Add 1
2 = tan²(θ) = sec²(θ)
Take the square root
√2 = sec(θ) . . . . for 0 < θ < π
_____
Additional comment
The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.
Hi guys, Can anyone help me with this tripple integral? Thank you:)
I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
\(\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx\)
For the inner integral we get to treat x like a constant.
\(\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3\)
Let's expand that as a polynomial in y for the next integration,
\(= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3\)
The middle integration is
\(\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy\)
\(= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} \)
\(= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3\)
Expanding, that's
\(=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)\)
so our outer integral is
\(\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx\)
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
\(= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12\)
\(=0\)
That's a surprise. You might want to check it.
Answer: 0
Billy drove his car 290 miles in 5 hours. Sheila drove her car 132 miles in 2 hours. If each driver is traveling at a constant speed (in miles per hour), who is driving at a faster speed?
Answer:
Shelia is
Step-by-step explanation:
hope this helps plz mark brainlessly