Answer:
The answer is -2.
Step-by-step explanation:
7w + 18 = 10w + 24
7w = 10w + 6
-3w = 6
w = -2
w = -2
Explanation:
7w + 18 = 10w +24
-18 -18
7w = 10w +6
-10w -10w
-3w = 6
÷ -3 ÷ -3
w = -2
A truck driver travels from a distributor to a retailer every week. The driver records the distance that he is from the retailer at different times during his trip. After several weeks of collecting data, the driver creates a scatter plot of the data. The best-fit line is Y=73.6 - 67.8x where x is the number of hours spent driving and y is the distance, in miles, from the retailer. Which of the following statements are true? Select all that apply. A. The distance from the retailer increases with time. B. The distance from the retailer decreases with time. C. The distributor is 67.8 miles away from the retailer. D. The distributor is 73.6 miles away from the retailer. E. The truck is traveling at a rate of 67,8 miles per hour. 1 1 1 ED 1 1 1 1
Answer:
Options (B), (D), and (E) are correct.
Step-by-step explanation:
The given best fit curve for the collected data is
[tex]y=73.6 - 67.8x\cdots(i)[/tex]
Where x is the number of hours spent driving and y is the distance of distributer, in miles, from the retailer.
As the driver starts recording the time when he starts from the retailer, so at the starting time, x=0, the driver is at the retailer.
So, putting x=0 in the given equation (i) to get the distance between the distributor and retailer, we have
[tex]y =73.6 - 67.8\times 0[/tex]
[tex]\Rightarrow y= 73.6[/tex] miles.
So, the distributor is 73.6 miles away from the retailer.
From equation (i), as x (time) increases the value of y (distance) decreases.
So, The distance from the retailer decreases with time.
Now, obtaining the rate of change the distance,y, from quation (i), with respect to time,x, to get the speed of the truck, we have
[tex]\frac {dy}{dx}=-67.8[/tex] mile/hour
Negative sign shows that the distance is decreasing, taking the magnitude of the rate of change of distance with respect to time to get the speed,
speed [tex]= | dy/dx |= | -67.8 | = 67.8[/tex] miles/hour
So, the speed of the truck is 67.8 miles per hour.
Hence, options (B), (D), and (E) are correct.
Using linear function concepts, it is found that the correct options are:
B. The distance from the retailer decreases with time.
D. The distributor is 73.6 miles away from the retailer.
E. The truck is traveling at a rate of 67,8 miles per hour
A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change. b is the y-intercept, which is the initial value.In this problem, the distance, in miles, after x hours driving is modeled by:
[tex]y = 73.6 - 67.8x[/tex]
The slope is [tex]m = -67.8[/tex], which means that the distance decreases with time, and the truck is traveling at a rate of 67.8 miles per hour, hence options B and E are correct.The y-intercept is of [tex]b = 73.6[/tex], which means that the initial distance is of 73.6 miles, hence option D is correct.A similar problem is given at https://brainly.com/question/24808124
Clare claims that (10+3)(10-3) is equivalent to 10 32 and and (20+1)(20-1) is equivalent to 202-12 Do you agree? Show your reasoning.
Answer:
no because paranthesis should always be done first
Step-by-step explanation:
it should be (13)(7)(21)(19)
you buy a car for 16000 but the total price is 16600 what is the tax percentage rate
Answer:
3.5
Step-by-step explanation:
In 64.71, in which place is the 4?
Answer:
ones place
Step-by-step explanation:
The four is in the ones place.
Hope this helps! If it did, don't forget to rate my answer a five star, hit the thanks [heart] button, and mark as brainliest! If you need any more help, feel free to ask! Have a great rest of your day and stay safe! xx
The city buses stop every 12 minutes. The first bus arrives at 5:00 A.M. You arrive at 8:37 A.M. How long will you have to wait for the next bus to arrive?
Answer:
You will wait for 11 minutes
Step-by-step explanation:
Find the number of minutes between 5:00am and 8:37am
60 mins in an hour.
8-5=3 hours
60x3=180+37=217 minutes
Divide 217 by 12 to see how many bus stops have already been made
217/12=18
18*12=216
217-216=1 minute
12-1=11 minutes
Therefore you will have to wait 11 minutes.
Hope this helps!
Answer:
11 minutes
Step-by-step explanation:
you will have to wait 11 minutes. the last bus arrived at 8:36 am
Find the diffference
-2 - (-5)
Answer:
the answer is 3
Step-by-step explanation:
Answer: -3
Step-by-step explanation: because taking a negative number away from something is the same as adding a positive and adding a positive number to a negative number makes it smaller
5. Evaluate 5a + 6c
When a = -5 and c = 4 =
Answer:
-1
Step-by-step explanation:
5(-5) + 6(4)
-25 + 24 = 1
Anybody wanna help me plz
Answer:
[tex]m^{3}[/tex]
Step-by-step explanation:
Step 1:
[tex]3.7m^{5}[/tex] ÷ [tex]3.7m^{2}[/tex] Equation
Step 2:
[tex]3.7m^{5-2}[/tex] Subtract and Divide
Answer:
[tex]m^{3}[/tex]
Hope This Helps :)
PLZZ HELP ASAP !!! HURRY !!!
Ruby is decorating for a party and needs 120 meters of ribbon. At the party supply store, the ribbon is sold in rolls. Each roll contains 25 feet of ribbon. How many rolls will Ruby need to purchase? (1 meter is approximately 39.37 inches)
A. 16 rolls
B. 14 rolls
C. 12 rolls
D. 10 rolls
Answer:
A. 16 rolls
Step-by-step explanation:
First, convert 120 meters to inches.
120 meters X 39.37 inches = 4724.4 inches
Then convert the 4724.4 inches into feet.
4724.4/12 = 393.7 feet
Therefore, she needs approximately 383.7 feet.
To get the number of rolls, divide 383.7 by 25 since each roll has 25 feet of ribbon.
383.7/25 = 15.748
15.748 can be rounded up to 16 rolls.
171 is 0.9% of?
Please help C:
Answer:30$
Step-by-step explanation:
You make it
Answer:
186.39
Step-by-step explanation:
171 is 0.9% of.
You need to multiply 171 * 1.09
171 * 1.09 = 186.39
171 is 0.9% of 186.39
Nathan will add -8 to -6 then divide the sum by -2 which quotient should he find?
Answer:
The quotient is -7. That is the answer.
The original price of a television was decreased from $1,500 to $1,275. What was the percent decrease in the original price of the television?
Answer:
the answer is a 15% decrease from the original price
Step-by-step explanation:
it decreased by 225 and 225 is 15% of 1500
Is this image of this graph a positive correlation, negative correlation, or not a correlation?
Answer:
Negative
Step-by-step explanation:
I dont really know how to explain it but it is a negative correlation.
9514 1404 393
Answer:
positive correlation
Step-by-step explanation:
The general trend of the data is upward to the right, so the trend line has a positive slope. The sign of the correlation matches the sign of the slope of the trend line. The correlation is positive.
__
The data is well-scattered about that "trend line," so the correlation would be only slightly positive.
What is the approximate minimum height of a shelf in which this box can fit in the position shown in the picture?
what is the picture? I would love to help if I knew what the picture looked like.
Answer:6.7 centimeters>###
Step-by-step explanation:
Find the missing side. Round to the nearest tenth.
A. 34.5
B. 8.7
C. 33.4
D. 11.6
DONT TYPE NO RANDOM ANSWER I WILL REPORT THX :)
The Han era was a time of peace where literature and the arts blossomed
True of False
Answer:
True.
Step-by-step explanation:
The Han era was when paper and porcelain was invented. It was a time of peace when China could build up.
Hope this helps plz mark brainliest :D
Laquita divides 3 pizzas equally among her 5 children. How much pizza does each child receive?
Answer:
Step-by-step explanation:
3/5= 0.6 pizzas a kid
Answer: Each kid could get almost 2 pieces
Step-by-step explanation: Do 5 / 3
Richard went kayaking last weekend. On Saturday, he kayaked for 2 hours and went 7 kilometers. On Sunday, he kayaked on a different river for 3 hours and went 12 kilometers. On which day did Richard kayak at a faster average speed?
Richard was faster on Sunday than Saturday.
What is average speed?The average speed is the total distance traveled by the object in a particular time interval. The average speed is a scalar quantity. It is represented by the magnitude and does not have direction.
The formula for average speed is found by calculating the ratio of the total distance traveled by the body to the time taken to cover that distance.
Average Speed = Total Distance traveled/Total Time taken
The average speed equation is articulated as:
Given,
Richard on Saturday,
kayaked distance = 7kms.
Time taken = 2 hours
Speed = Distance/ Time
Speed on Saturday = 7/2
Speed on Saturday = 3.5 km/hr.
Richard on Sunday,
kayaked distance = 12kms.
Time taken = 3 hours
Speed = Distance/ Time
Speed on Sunday = 12/3
Speed on Sunday = 4 km/hr.
Hence, by the above calculation Richard was 0.5 km/hr. faster on Sunday than Saturday.
Learn more about average speed here:
https://brainly.com/question/9834403
#SPJ2
What is one third of these?
1
3/4
2
1 1/2
2 1/4
1/2
Answer:
1/3
1/4
2/3
1/2
3/4
1/6
Step-by-step explanation:
Simply multiply each number by one-third.
1 * 1/3 = 1/3
3/4 * 1/3 = 3/12 = 1/4
2 * 1/3 = 2/3
1 1/2 = 3/2 * 1/3 - 3/6 = 1/2
2 1/4 = 9/4 * 1/3 = 9/12 = 3/4
1/2 * 1/3 = 1/6
What is the nineteenth term in the sequence 7, 10, 13, 16, …?
Answer:
61
Step-by-step explanation:
hope this helps
Having hard time with slope !
Answer:
slope(m)=3/2
Step-by-step explanation:
What is another equivalent expression for -3(7 +5g)
Answer:
-21 - 15g
Step-by-step explanation:
You just have to distribute the -3 into the expression.
-3(7 + 5g) = -21 -15g
⇒
pls complete it (picture )
Answer:
32cm²
Step-by-step explanation:
4 cm * 8 cm = 32 cm²
Can someone please help me???
What is the solution to −2x+8≥4?
x≤2x is less than or equal to 2
x≥2x is greater than or equal to 2
x≤−6x is less than or equal to negative 6
x≥−6
Answer:
72
Step-by-step explanation: Can someone please help me???
What is the solution to −2x+8≥4?
x≤2x is less than or equal to 2
x≥2x is greater than or equal to 2
x≤−6x is less than or equal to negative 6
x≥−6
3x+5=2x+7. Find X to complete the equation
Answer:
x = 2
Step-by-step explanation:
Answer:
x=2
Step-by-step explanation:
3x+5=2x+7 this is the original equation
since we have no clue as to what x could be, we just take a guess.
lets say we used 3.
we would plug in 3 where the x's are and get
3(3)+5=2(3)=7
three times three is 9, 9 plus 5 is 14.
2 times 3 is 6, 6 plus 7 is 13.
since these numbers do not match, 3 cannot be the answer.
if you did these same steps with the number two, you would get 11 as the answer for both, therefore, x=2
3(2)+5 2(2)+7
6 +5=11 4+7=11
Simplify the expression : 22.22 divided by 1.1
Answer:
20.2
Step-by-step explanation:
simplify is equivalent to solve
22.22/1.1
20.2
Answer:
20.2
this is because i used a calculator.
Which function does lim(x->1) not exist?
Answer:
x2
Step-by-step explanation:
If the graph has a gap at the x value c, then the two-sided limit at that point will not exist.
If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist.
what is the constant of proportionality for 4x=32y?
Answer:
Step-by-step explanation:
For every 1 x there is 8 y.
32/4=8
help me please I don't get it
Answer:
it's the last one
Step-by-step explanation:
to find the perimeter, you must add all the sides.
25 plus 25 is 50
multiple x by two for both sides and that will give you the perimeter of 70
Whats the answer to 7
