A train company moves people between Boston and Providence every day. They travel from city to city 7 times each day. The distance between the two cities is 48 miles. In February, there are 28 days. The company's budget allows for 15,000 total miles in February. Do you think the budget is reasonable? Explain.
Answer: the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget
Step-by-step explanation:
Given data:
Distance between two cities = 48 miles
Number of days available in February = 28
February budget = 15000 miles
Solution:
If the distance between two cities = 48 miles, and 7 trips are made daily
= 48miles * 7
= 336 miles is travelled each day.
For February
= 28days * 336
= 9408 miles.
Budget – travel distance covered ( February)
= 15,000 - 9408
= 5592 miles.
The budget is reasonable because, by following the travel pattern or history the total travelled miles would be 9408 miles for February which is below the budget allowed by the company for the month.
So the budget is reasonable since the calculated distance travelled hasn’t exceeded the budget.
Students plan to pay back half the debt now though fundraising, and the rest after the harvest. Write an equation to represent the debt they will repay through fundraising. Use a negative integer to show debt. Use "D" to represent the debt that will be repaid by through fundraising
Answer:
D = [tex]\frac{-d}{-2}[/tex]
Step-by-step explanation:
The amount of money that the students will pay back with the fundraiser (D) would be half of the current debt (d) since debt is represented as a negative but the fundraiser needs to be a positive since it is money gained we would divide by -2
D = [tex]\frac{-d}{-2}[/tex]
This equation shows the debt that will be repaid through the fundraiser which would be exactly half of the current debt.
Keith is saving money for a car. He has saved the same amount each year for the past three years, and records of how much he has at the end of each year in the table below.
What is Keith's unit rate of change of dollars with respect to time; that is; how much does Keith save in one year?
the unit rate is blank dollar per year.
Answer:
keith saves 1500 dollars per year
pleaseee help
6x7/8=
5/6x2/5=
Part A
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.
What is the slope of the line?
Slope =
Part B
Connor says that the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct?
a. Connor is correct because the rate of water flowing is equal to the slope. Water is flowing in at a rate which is about 2 gallons per minute.
b. Connor is not correct because the rate of water flowing is greater than the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
d. Connor is correct because the rate of water flowing is less than the slope. Water is flowing in at a rate which is faster than 2 gallons per minute.
Answer:
Part A: ½
Part B: c. Connor is not correct because the rate of water flowing is not equal to the slope. Water is flowing in at a rate which is slower than 2 gallons per minute.
Step-by-step explanation:
Part A:
Slope of the proportional graph = y/x
Using the point on the line, (4, 2),
Slope = 2/4 = ½.
Part B:
Since the slope of the graph bus ½, it shows that the water is flowing at a rate of ½ gallon per minute. Therefore, Connor is NOT CORRECT.
The rate of water Connor stated does not correspond with the rate shown by the slope. The slope of the graph, ½, shows that the water is flowing at a much slower rate than at the rate of 2 gallons per minute, which Connor stated.
The right answer is C.
Jade takes 5 minutes more than twice as long as Binh to ride to their friend’s house. If Binh takes x minutes to ride to his friend’s house, how long will it take Jade?
Answer:
It will take Jade (2x + 5) minutes
Step-by-step explanation:
Let us find the expression that represents the time Jade will take
∵ Binh takes x minutes to ride to his friend’s house
∴ The time Binh takes = x minutes
∵ 5 more means + 5
∵ Twice means × 2
∵ Jade takes 5 minutes more than twice as long as Binh to ride to their
friend’s house
→ Multiply the time Binh takes by 2 and add the product by 5
∵ Binh takes x minutes
∴ The time Jade takes = 2 × x + 5
∴ The time Jade takes = 2x + 5 minutes
∴ It will take Jade (2x + 5) minutes
Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If
she eams $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
O $137.88
o $450.00
O $1,500.00
o $1,637.88
1637.88
Answer:
d
Step-by-step explanation: please mark brainliest
Can u help me with this please
Answer:
1. turkey trolley
2. pumpkin pie
3. family dinner
4. smashed potatoes
5. football
6. wishbones
7. kill the turkey
8. green beans
9. corn you policeman xD
10. black friday
some of the stuff i know but i tried
Step-by-step explanation:
need answer asap! will give brainiliest!!!
what are the steps for graphing linear equations?
square root -100= ___+___i
Answer is 10i
Step-by-step explanation:
Determine the
constant of
proportionality.
Answer:
Step-by-step explanation:
Time is 2 miles 110 is 55 miles per hr
5 hrs *55 mph= 275
12*55= 660
Yes it is in proportion.
Sara borrows $56 from her mother to buy a new pair of jeans. If
Sara decreases her debt by $4 each week, how many weeks will
it take her to pay off the whole amount she owes her mother?
Answer:
Have an amazing night/day!
Step-by-step explanation:
14 i think ill edit if im wrong
The lesser of the two solutions to x(x + 4) = 21 is:
Answer:
Lesser is -7
Step-by-step explanation:
x(x+4) = 21
Distribute
x^2 + 4x = 21
x^2 + 4x - 21 = 0
x^2 + 7x - 3x -21 = 0
(x+7)(x-3) = 0
x=-7, 3
PLS MARK BRAINLIEST
What’s the constant of proportionality of the relationship shown in the graph?
Answer: It's 3
Step-by-step explanation:
) William eats at a cafe and the cost of his meal is $31.00. He wants to leave a 15% tip. How much should he leave for the tip
Answer:
4.65 dollars
Step-by-step explanation:
x% of y = [tex]\frac{x}{100}[/tex]×y
= [tex]\frac{15}{100}[/tex]×31
= 0.15 × 31
= 4.65 dollars
∴ William will have to give 4.65 dollars.
30 POINTS!! WHOEVER ANSWERS FIRST GETS BRAINLIEST! Jim wanted to find out what the audience thought about the debate. After the event,
Jim stood at the exit to survey every fifth guest.
Was this a random or a biased sample and why?
O A.
This was a biased sample. Jim should interview all in attendance.
OB.
This was a census. Any guest may have participated.
OC.
This was a random sample. It may not have included anyone in attendance.
O D.
This was a random sample. It may have included anyone in attendance.
Answer:
c
Step-by-step explanation:
i know its c
Answer:
Bru you did not give 30 points smh but its c
Step-by-step explanation:
Which graph shows the line y=35x−3?
Answer:
the last picture
Step-by-step explanation:
the one where the line hits the -3 mark on the y-axis
Answer:
this is how the graph should look
Step-by-step explanation:
Pleaseeee help im confused best answer will get brainliest.
Answer:
17y-9x
Step-by-step explanation:
12y-6x+5y-3x
12y+5y-6x-3x
17y-9x
Help me pls this is a test I need a good grade
Answer:
81.05/20 is the better deal and the unit rate is $4.05
Step-by-step explanation:
hopefully this helps :)
Answer:
the second deal is better. the unit rate is 4.05/gal
Step-by-step explanation:
106/25=4.24
81/20=4.05
Given f(x)=2x-10. Evaluate f =24
Answer:
The answer is 17.
Step-by-step explanation:
Plug 24 in at the end where "f" isAdd 10 to both sides.Divide Both sides by 2Get answer of 17HELP RN PLEASE!!! Jesse has a total of $2.90 in quarters and dimes. If Jesse has a total of 17 coins, how many quarters does Jesse have?
Answer:
0.09
Step-by-step explanation:
2.90/17= 0.17086....
0.17086.../2=9
Mark has a collection of $20 bills and $5 bills. He has a total of 6 bills totaling $75.00. How many of each type of bill does he have?
You have to write and solve the system using elimination or substitution, please help
Answer:
He has 3 $20 and 3 $5
Step-by-step explanation:
20 x 3 = $60
5 x 3 = $15
15 + 60 = $75
Hi can someone plz help me thank you
The sum for three numbers is 57 the second number is 2x the first the third number is 18 less than the second what is the third number
Step-by-step explanation and answer:
consider the numbers x,y,z
X+y+z=57
2x=y-6
y=10+z
y=2x+6
z=y-10
=2x+6-10
z=2x-4
x+y+z=57
x+2x+6+2x-4=57
5x+2=57
5x=55
x=11
y=27
z=18
Pleas help me with this I hate math
Answer:
Not a function, as it fails the vertical line test.
Step-by-step explanation:
I dislike math as well.
Answer:
B. not a function
Step-by-step explanation:
One x value has more than one specific y value. To be a function one x value cannot have more than one specific y value.
Which statement about this figure is true?
Answer:
Reflectional symmetry with one line of symmetry
Step-by-step explanation:
You can add a line of symmetry right down the middle that would make the left and right of the figure symmetrical, so it is reflectional with one line of symmetry.
Select the best answer.
1. A principal spent $1780 on c calculators
for her school. Write an expression that
shows the cost of one calculator?
The rectangle is 94 m long and 58 m wide find the area use the
Answer:
Area = 5452Step-by-step explanation:
Area = l times w
94 x 58 = 5452
Find the mean, variance and standard deviation of the binomial experiment. In a recent survey, 70% of the community favored building a police substation in their neighborhood. If 30 citizens are chosen, what is the mean number favoring the substation? What would be the variance and standard deviation of their responses?
Answer: Mean = 21 , Variance = 6.3 , standard deviation =2.51
Step-by-step explanation:
Formula for the mean, variance and standard deviation of the binomial experiment :
[tex]Mean = np\\\\ Variance = np(1-p)\\\\ Standard\ deviation = \sqrt{variance}[/tex]
, where n= sample size , p= population proportion.
As per given, p= 70%=0.7 , n=30
[tex]Mean = 0.7\times30=21\\\\Variance =(30)(0.7)(1-0.7)=(21)(0.30)=6.3\\\\ Standard\ deviation = \sqrt{6.3}\approx2.51[/tex]
Hence, Mean = 21 , Variance = 6.3 , standard deviation =2.51
a jar contains 10 caramels 5 mints and 15 dark chocolates what is the probability of selecting vs mint expressed as show ur working out
Answer: The probability of selecting a mint 1/6
Step-by-step explanation:
the jar contains 30 different candies
out of the 30, 5 are mints
5/30 = 1/6