Answer:
22 gallons
Step-by-step explanation:
280 miles / 56 gallons = 5 miles per gallon
110 miles/5 mpg = 22 gallons
Factorise the following.
Answer:
iii. (l + m - n)(l - m + n)
vi. (5a -b) ( 5b - a)
Step-by-step explanation:
iii. l² - (m - n)²
= (l + m - n)(l - m + n)
vi. 4(a+b)² - 9(a-b)²
= (2(a+b))² - (3(a-b))²
= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))
= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)
= (5a -b) ( 5b - a)
Q. 1) l²- (m - n)²
=(l - m + n)(l + m - n)
Q.2) 4(a+b)²- 9(a-b)²
= [(2(a+b))²- (3(a-b))²]
=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]
=[2a+2b+3a-3b][2a+2b-3a+3b]
=[5a-b][5b-a] ]
Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck
Answer:
2/10 or 1/5
Step-by-step explanation:
There are a total of 10 ducks, and only 2 have green dots.
So the probability would be 2 / 10, which simplifies to 1 / 5.
Greatest common factor of 2 and 10: 2
So: 2 ÷ 2 = 1
10 ÷ 2 = 5
Please help I don’t understand
It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?
Required:
What is the probability that all 6 students will say that the same tire was flat?
-.25z=-1.25 What is Z?
Answer:
z=5
Step-by-step explanation:
PLEASE HELP (5th grade math) giving away Brainliest
Answer:
y = [tex]\frac{3}{1}[/tex]+1First, we should know what the slope-intercept formula is.
Y = MX + B
Where M is your slope, and B is your y intercept.
Let's do the easiest part first, finding our y-intercept. The y-intercept is where the the line intersects the y-axis. In this case, y = 1, because it intersects at (0, 1).
Now we have:
y = mx + 1
Next, we need to calculate the slope, or rise over run. M is presented as a fraction. The numerator is your rise (how high or low it goes), and the denomenator is your run (how far to the right or left it goes).
If it goes LEFT, the number is negative, if it goes RIGHT it is positive.
Also, pretty points are areas in which the line hits an exact coordinate. Using these points is easiest if you want to find the slope of the line.
We can see that the line hits a pretty point every time it goes one coordinate (box) to the right, and up three boxes. What this means it is rises three 3 points, and runs to the right, 1. This is shown as [tex]\frac{3}{1}[/tex]
So let's add that to the equation!
y = [tex]\frac{3}{1}[/tex]+1
Help please!!!!!!!!!!
Answer:
6/8,
12/16,
24/32
48/64
96/128
192/256
384/512
Step-by-step explanation:
Find the missing length of the right triangle below.
8 ft
15 ft
Answer:
23 or 19
Step-by-step explanation:
15+8= 23
23-4= 19
i added 15 and 8 because if you were to flatten the triangle it would be next to the base, so i added it. I subtracted 4 because side C doesn't look like it is is about 23 ft. it could be 20 too.
i am not exactly sure. sorry if you get it wrong. I am so sorry if i got it wrong.
Find the coordinates of the midpoint between the two
points on the graph.
Answer:
(0,2)
Step-by-step explanation:
Cords are ( 0, 4 ) and ( 4, -4)
x1 + x2 / 2 , y1 +y2/2
0 + 4 / 2 , 4 - 4 / 2
4/2,0/2
(2,0)
circle WX = xy 2x+16, xw 7x-29 find wx
The value of WX will be; (8y³)/(7y+8).
To find the length of WX, we need to substitute the given values of x and simplify the expression:
WX = xy/(2x+16) - xw/(7x-29)
xy/(2x+16) = xw/(7x-29)
Cross-multiplying, we get:
xy(7x-29) = xw(2x+16)
Expanding both sides;
7x²y - 29xy = 2x²w + 16xw
Rearranging terms and factoring out x;
x(7xy - 2xw) = 29xy - 16xw
Solving for x, we get:
x = (29xy - 16xw)/(7xy - 2xw)
Now we can substitute this value of x into the expression for WX to find its value. use the expression WX = xy/(2x+16):
WX = xy/(2x+16)
WX = y(29xy - 16xw)/[2(7xy - 2xw) + 16]
Simplifying the denominator,
WX = y(29xy - 16xw)/[14xy - 4xw + 16]
Finally, we can substitute the given values of xw and xy to get,
WX = y(29xy - 16xw)/[14xy - 4xw + 16] = (8y³)/(7y+8)
Therefore, WX = (8y³)/(7y+8).
Learn more about chord of the circle : brainly.com/question/1654080
#SPJ1
Answer: WX = 34
Step-by-step explanation:
The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.
Answer:
hmmmm im thinking
Step-by-step explanation:
A B C OR D SOMEONE HELP
Answer:
B
Step-by-step explanation:
Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.
Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.
I hope this helps!
B
What does a single point on the plot represent?
IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.
Complete question is missing, so i have attached it.
Answer:
Yes, they are all correct
Step-by-step explanation:
From the attached image, we see that the sign is showing;
Parking lot: ¾ miles
Summit: 1½ miles
Summit distance can also be expressed as an improper fraction = 3/2 miles
Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.
Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles
Now, let's analyze each of their statements;
Mai said they are a third of their way there.
They had covered 3/4 mile and the total distance is 9/4 miles.
Thus, fraction of total distance covered is;
9/4 ÷ 3/4 = 1/3.
So, Mai is correct
Clare said they have to go twice as far as they had already gone.
They had covered 3/4 miles.
Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.
Thus, Clare is correct
Tyler said that the total hike is three times as long as what we have already gone.
They had gone 3/4 miles
3 times this = 3 × 3/4 = 9/4 miles.
This tallies with the total distance calculated earlier.
Thus, they are all correct
PLEASE HELP ASAP! thank you!
Find the missing exponent.
10
100
Submit
Write a compound statement that results in a true conjunction.
Answer:
p->q .......................
Suppose someone takes out a home improvement loan for $30000. The annual interest on the loan is 6% and is compounded monthly. The monthly payment is $600. Let a denote the amount owed at the end of the nth month. The payments start in the first month and are due the last day of every month - this means in a given month interest is added first, and then the payment is applied to the resulting loan Balance.
a. Give a recursive definition for a,. including the recurrence relation and the base case.
b. Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month?
Answer:
a) Initial (Base) a[tex]_0[/tex] = 30000
b) the monthly payment needs to $150
Step-by-step explanation:
Given the data in the question;
a. Give a recursive definition for a,. including the recurrence relation and the base case.
the annual interest on the loan is 6% compounded monthly;
⇒ i = 6% / 12
i = 0.5%
so, the recurrence relation is a[tex]_n[/tex] = a[tex]_{n-1}[/tex]( 1 + i/100) - 600
Here Initial (Base) a[tex]_0[/tex] = 30000
b) Suppose that the borrower would like a lower monthly payment. How large does the monthly payment need to be to ensure that the amount owed decreases every month
Let p be the required monthly payment,
then the condition will be; a[tex]_n[/tex] ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - p ≤ a[tex]_{n-1}[/tex]
a[tex]_{n-1}[/tex]( 1 + i/100) - a[tex]_{n-1}[/tex] ≤ p
a[tex]_{n-1}[/tex]( 1 + i/100 - 1) ≤ p
a[tex]_{n-1}[/tex]( i/100 ) ≤ p
a[tex]_{n-1}[/tex] ≤ p ( 100/i )
a[tex]_{1-1}[/tex] ≤ p ( 100/0.5 )
a[tex]_0[/tex] ≤ p (200)
we know that; a[tex]_0[/tex] = 30000
so
30000 ≤ p (200)
p ≤ 30000 / 200
p ≤ 150
Therefore, the monthly payment needs to $150
4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?
Answer:
[tex]x = \frac{5}{3} [/tex]
176.625 rounded to the nearest tenth
Answer:
176.6
Step-by-step explanation:
Answer:
180 idrk
Step-by-step explanation:
A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?
Answer:
4+5=9
27÷9=3
they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.
If you throw exactly two heads in three tosses of a coin you win $35. If not, you pay me $25. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
the answer is :
25-30=-10
Simplify the complex fraction. 2/3m-1/2m 3m/3+4/5m
Answer:
131m/210 I THINKKKKK
Step-by-step explanation:
RNDJDJDJSJD
Help please and thanks
Maria is selling knitted hats and scarves at the Craft Market.
• A hat requires 15 minutes to make.
• A scarf requires 30 minutes to make.
• Maria has 300 minutes to make the hats and scarves.
Additionally,
• Maria wants to make no more than 16 items.
• When Maria sells the necklaces and wristbands at the Craft Market, she will make $2.00 profit per hat and $4.00 profit per scarf.
Let x = the number of hats Maria makes.
Let y = the number of scarves Maria makes.
Answer:
i dont know yet, ill try to figure it out
Can you help me with this if you’re a smart person
The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?
Answer:
987e-628479.9079083
Step-by-step explanation:
Answer:
maybe 7
Step-by-step explanation:
Which expression is equivalent to ?
Question 1.:
Which comparison is incorrect?
-3 > -7
-9 > 4
-4 > -6
7 > 5
________________________________
Question 2:
Which group of numbers is listed from least to greatest?
-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9
Answer:
-7 is bigger
-9 is bigger
-6 is bigger
7 is bigger
I think.....
-9,-8,-7,-6,-4
-9,-7,-6,4,7
-2-1,0,4,9
-8,-2,3,5,8 ?
I guess I didn't understand the question
2 cups is to 8 cans as 14 cups is to ___ cans?
Answer:
56
Step-by-step explanation:
The ratio is 1:4
14 * 4 = 56
Answer: 56
Step-by-step explanation:
8 ÷ 2 = 4 (cans) - it is 1 cup.
14 × 4 = 56 (cans) - it is 14 cups.