Answer:
248 cups
Step-by-step explanation:
I hope this helps! have a good day:)
Dana is planning to drive 400 miles from
New York to Boston and back. Dana's
hybrid car can travel 50 miles on 1 gallon
of fuel. Biodiesel fuel costs $4.45 per
gallon.
Part A: How many gallons of fuel does
Dana need to purchase for the 400-mile
trip? Explain your reasoning.
Part B: Dana can take a high-speed train
to Boston instead of driving. A round-trip
train ticket costs $95. Is it cheaper for
Dana to take the train or to drive? How
much cheaper? Explain your reasoning.
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
What is the complete factorization of x^2 + 2x − 63?
A. (x + 21)(x − 3)
B. (x − 9)(x + 7)
C. (x + 9)(x − 7)
D. (x − 21)(x + 3)
Answer:
C. (x+9)(x-7)
Step-by-step explanation:
(x*x)=x^2
(9*x)=9x
(-7*x)= -7x
(9*-7)= -63
x^2+9x-7x-63 = x^2+2x-63
x/5 - 12 = -8 equals what
Given: ΔLMN ≅ ΔPQR Find: m
Graphing a linear inequality in the plane: Standard form
Answer:
attached
Step-by-step explanation:
draw line pass (-12,0) and (0,3), solution is the shaded part
Find x.
x = 4
x = 5
x = 6
Answer:
Given triangles are similar
[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]
Value of x is 6.
3. Find the value of x and the measure of the missing angle in the
figure below.
66°
(4x - 4)^
Answer:
7
Step-by-step explanation:
66+(4x-4)=90
66+4x-4=90
62+4x. =90
4x. =28
x. =7
Explain how you could set up an equation to find the amount of money you should save each week to buy the iguana that’s $9 in 6 weeks.
Determine the value of 3p if p =
6
Answer:
18
Step-by-step explanation:
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answer: Half
Step-by-step explanation:
Find the minimum and maximum possible areas for rectangles with the following measured areas.
12 km × 5 km
A.
51.75 km2, 66 km2
B.
57.5 km2, 68.75 km2
C.
51.75 km2, 68.75 km2
Answer:
I believe it's B correct me if I'm wrong
Answer:
C. 51.75 km2, 68.75 km2
Step-by-step explanation:
??????????????????????????????????
Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope
c = y-intercept
1) find m
slope formula:
[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
take 2 coordinates from the given graph and substitute the values into the slope formula
i) (-1,0)
[tex]x _{1} = - 1[/tex]
[tex]y_{1} = 0[/tex]
ii) (3,2)
[tex]x_{2} = 3[/tex]
[tex]y_{2} = 2[/tex]
substitute the values into the slope formula
[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]
[tex]m = \frac{2}{4} [/tex]
[tex]m = \frac{1}{2} [/tex]
2) find the half equation of the line by substituting the value of m into the equation of line formula
[tex]y = \frac{1}{2} x + c[/tex]
3) find c by substituting either coordinate into the half equation
(3,2)
x = 3
y = 2
[tex]2 = \frac{1}{2} (3) + c[/tex]
[tex]2 = \frac{3}{2} + c[/tex]
[tex]2 - \frac{3}{2} = c[/tex]
[tex] \frac{1}{2} = c [/tex]
[tex]c = \frac{1}{2} [/tex]
4) find equation of line by substituting the value of c into the half equation
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)
WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD
Answer:
3:1
8:5
Step-by-step explanation:
Suppose you are driving. You notice that after driving for 4 hours, you are 135 miles from Seattle. You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. What is your rate? How far do you drive every 9 hours? How far from Seattle are you after driving for 17 hours?
Answer:
1,423
Step-by-step explanation:
Your average rate is 36.7 miles per hour over nine hours
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
In the first 4 hours, you've averaged 33.75 miles per hour, but this is apparently not sustainable, since at 9 hours you've only averaged 36.7 miles/hour.
You continue driving, and calculate that after driving 8 hours you are 255 miles from Seattle. you've averaged 31.8 miles per hour
So the answer is that your average rate is 36.7 miles per hour over nine hours, although you did manage a faster burst of 50 mph for four hours once.
Learn more about the average speed here :
brainly.com/question/12322912
#SPJ2
(9x - 18)°
find the value of x
Answer:
x=2
Step-by-step explanation:
Help me for brainlist please
Answer:
C 80in^2
Step-by-step explanation:
Multiply 12*3*2 for the area of both sides of the H to get 72
For the middle multiply 2*4 to get 8
72+8=80
a pizza costs $11 and $1.50 per topping write a equation for cost in dollars and the nunber of toppings
Answer:
y= 11 + 1.50x. (y is the price, x is number of toppings)
Step-by-step explanation:
no clue how to answer this
Answer:
s=4.75
Step-by-step explanation:
Just substitute the given variable values into the original equation
s=10•½+½•-2•½²
s=5+-1•¼
s=5+-¼
s=-4.75
can someone please help me, ill give brainliest plus points!
Answer:
9 is the correct answer all the best
Step-by-step explanation:
(x + 0.5)/6 = 19/12
2(x + 0.5) = 19 (multiply 12 on both sides)
x + 0.5 = 9.5 (divide 2 on both sides)
x = 9 (subtract 0.5 on both sides)
The answer is 9.
I NEED HELP!!!!
Physical therapists measure strength on a dynamometer, which uses a unit called a foot-pound. Suppose you increase the strength in your elbow joint from 90 foot-pounds to 125 foot-pounds. Find the percent of increase to the nearest percent.
A.
39%
B.
138.9%
C.
28%
Answer:
A. 39%
Step-by-step explanation:
(125-90)/(90)=(35)/(90)=0.3889 or 39%
To find the percent increase, we need to divide the amount of change by the original amount.
the sum of a number and 7 is -12
Answer:
Please put the rest of the answer
Step-by-step explanation:
Answer: 7?
Step-by-step explanation:
56 cm
42 cm
What is the length of the hypotenuse?
C=
centimeters
Answer:
70
Step-by-step explanation:
56*56 = 3136
42*42 = 1764
3136+1764 = 4900
4900 squared is 70
Find the percent of change. Round to the nearest tenth, if necessary.
In the 2006 season, Tom Brady threw for 3,529 yards. In the 2007 season, he threw for 2,806 yards.
Answer:
20.487%
Step-by-step explanation:
divide the second number by the first. then do one minus that number
Please help thank you
Answer:
x=25
Step-by-step explanation:
180-113=67
67-42 = 25
Write an expression for the total amount Carla has paid after a certain number of months
Answer:
$25.00+$36.00m
Step-by-step explanation:
Which is the best estimate of the mass of a skateboard
A 3 liters
B 3 kilograms
C 30 grams
D 3 grams
Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?
Answer:
637, 245
Step-by-step explanation:
Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.
What is the relation between speed, distance, and Time?We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Two snakes race The speed of the first is 24 1/2 inches per minute The speed of the other is 26 inches per minute What is the distance between them after 3 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]
Thus, the distance between the two snakes after 3 mins is 4.5 inches.
What is the distance between them after 10 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]
Thus, the distance between the two snakes after 10 mins is 15 inches.
Learn more about Speed, distance, and Time:
https://brainly.com/question/15100898
The ratio of girls to boys is 8 girls to 4 boys.
If there are 4 girls, how many boys are there?
Answer:
4
Step-by-step explanation:
It’s really easy but I don’t know the steps can someone help?
Answer:
x=0
Step-by-step explanation:
1/2(40+2x)=20
20+x=20
x=0
(I believe that s is the bisector, please correct me if I am wrong)