Answer: 65£40625
Step-by-step explanation:
We know that there are already 150L of oil in the tank. So if we want to fill the tank, we need to add 1250L to fill the rest of the tank. The price of 1L of oil is 80.5p, which can be represented as [tex]\frac{80.5p}{L}[/tex]. If we want to know the price of the remaining 1250L, then we can multiply the denominator by 1250 because that way we can find the cost in p of 1250L. Now if you want to keep the ratio of the original equation to the cost of 1250L equal (or just keeping both expressions equal), then we also have to multiply the numerator by 1250. So, we then get [tex]\frac{(1250)(80.5p)}{(1250)(L)}[/tex]=[tex]\frac{100625p}{1250L}[/tex]. So the cost of 1250L is 100625p.
Now, applying the discount. To apply a discount x to some value y:
x - xy, where x = original value, y = discount.
So, substituting the original value of 100625p for x and the discount 6.5% = 0.065 for y, we get: (100625) - [(100625)(0.065)]. The question, however, doesn't ask for the discounted price, but rather the discount itself, or how much money you save. The expression xy gives us just that.
So, (100625)(0.065) gets us to to 6540.625p = 65£40625.
The First step to this problem is to find how much oil He needs.
In order to do that, we have to subtract 1400 L by 150 L
1400-150=1250
The second step to this problem is to calculate the total price (p) of the Oil that is needed
In order to do that, we have to find the price of the oil per liter which is 80.5p
Take out the P so it won't be hard
80.5x1250=100625p
The third step to this question is to Multiply the number: 100625 by 6.5/100. Given the fact that we convert 6.5% to Fraction
100635x6.5/100= 6541.275p
So, the answer is 6541.275
I hope this helps, if it's wrong plz blame me
Have a nice day (:
Which of these is a correct statement?
Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.
Answer:
Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP
Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.
∴ AP=BP
In right ΔAPO we have
OA
2
=AP
2
+OP
2
⇒25−9=AP
2
⇒AP
2
=16⇒AP=4
Now AB=2,AP=2×4=8[∵AP=PB]
hence the length of the chord of the larger circle which touches the smaller circle is 8cm.
Step-by-step explanation:
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Step-by-step explanation:
Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).
As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):
1) 512 => 2 partecipants
2) 256 => 4 partecipants
3) 128 => 8 partecipants
4) 64 => 16 partecipants
5) 32 => 32 partecipants
6) 16 => 64 partecipants
7) 8 => 128 partecipants
9) 4 => 256 partecipants
10) 2 => 512 partecipants
The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.
Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.
Scientists say we should sleep 3/8 of a day.How about many hours is this
Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest
Answer: -13
Step-by-step explanation:
Is -4 a real or imaginary number?
Answer:
Real number
Step-by-step explanation:
Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real
Answer:
real number
Step-by-step explanation:
Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1
If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.
I hope this helps!
What is a÷3+11=-5 and how to doit with steps?
[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]
Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work
Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)
Need help ASAP! Directions and problem in picture;)
What is the value of ?
Answer:
105⁰
Step-by-step explanation:
Please refer to the attachment.
Hope it helps :)
please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)
Answer:
x^5+2x^4-7x^3+11x^2+28x
Step-by-step explanation:
Determine whether the graph represents a function. *
Answer:
Not a function
Step-by-step explanation:
There are two points that correspond to the same variable
Hope this helps
Answer:
not a function
Step-by-step explanation:
There are two points that have the same x and different y values
This would fail the vertical line test.
Which term better describes the populations in the nations of Northern Europe?
1. homogeneous
2. heterogeneous
Write an equation you could use to find the length of the missing side of the right triangle. Then find the missing length. Round to the nearest tenth if necessary.
Group of answer choices
26+ 24 = a ; 35.4 in.
a + 24 = 26; 10 in.
a + 24 = 26; 2 in.
a + 24 = 26; 100 in.
Answer:
a² + 24² = 26² ; a = 10 in.
Step-by-step explanation:
a² + 24² = 26² ; a = 10 in.
((I'm not sure if your choice is wrong.))
at noon, a tank contained 8 in. of water. after several hours, it contained 6 in. of water. what is the percent decrease of water in the tank?
Answer: 25%
Step-by-step explanation:
To find percent decrease, you take your final number minus your initial number, over your initial number, so you start with 6-8/8, and get 2/8 or 1/4, then you multiply that by 100, so you get 25. That's your percent decrease.
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
y = -2x + 5
hope this helps!
is the expression x³·x³·x³ equivalent to x³·³·³? why or why not? explain your reasoning
Answer:
Definitely not equivalent.
Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.
x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27
x^3 * x^3 * x^3 would be x^3+3+3 or x^9
Can anyone solve and explain part b
Answer:
Below in bold.
Step-by-step explanation:
b.
If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.
So tan O = BD/16 = 15/8
BD = (16*15)/8
= 2*15
= 30.
So the area of triangle ABC = 16*30
= 480 cm^2.
A tin of biscuits contains shortbread and choc-chip biscuits in the ratio 2:3 . The tin contains 80 biscuits. How many short-bread biscuits are there in the tin?
Answer:
32
Step-by-step explanation:
There are 80 biscuits inside the tin.
Also, they said that those biscuits are in the ratio
Short bread : Choc - chip
2 : 3
Altogether there are 5 shares ( 2 + 3)
And now you can divide 80 by 5 to find how many biscuits contain per a share.
80 ÷ 5 = 16
In the question, they asked us to to find the number of short biscuits inside the tin.
Let us find that.
There are 2 shares for short bread biscuits.
So,
Number of short biscuits ⇒ 2 × 16
⇒ 32
Hope this helps you :-)
At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.
Answer:
ok so first take a way 100 from 350
250 then divide by 20
12
Hope This Helps!!!
Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?
Answer: 150 students
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
FAM I NEED YOU HELP POR FAVOR OR MY TEACHER IS GANNA KILL ME:
You purchase two bottles of sunscreen and a hat. The hat cost $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answer:
9.87
Step-by-step explanation:
6%= 0.06
0.06 +6.50 = 6.56
16.43 - 6.50 = 9.87
ASAP HELP PLEASE SHOW ALL WORK AND PLEASE NO LINKS
Answer:
the triangle always equals 180.
so divide it right?
Refer to the attachment
18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176
EWFrtujyhytgrfeds.DFGFDS
Answer:
Reese's puffs Reese's puffs
Plz help with this question.
Answer:
[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]
Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.
[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]
hope it helps youAnswer:
look below :)
Step-by-step explanation:
Ok so the formula for the area of a triangle is (l x w) / 2
and the formula for the area of a square is l x w.
The area of the square is 2 x 2 = 4.
so the area of the square = 4cm²
the area of the triangle is 2 x 4 = 8.
8 / 2 = 4
so the area of the triangle is also 4cm².
Hope this helped!
Can someone please help me with this one I would appreciate it very much!! :D
Answer:
Abby will earn $510 if she works 60 hours.
Step-by-step explanation:
8 hrs --> $68
1 hr --> 68 × 1/8 = $8.5
So, 60 hrs
= 8.5 × 60
= $510
Which correlation coefficient best matches the graph?
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
Which of the following is an equation of a line perpendicular to the equation
y - 3x +1?
O A = - 3x + 5
B. y --3x+5
O C. y -3x5
O D. y = x+5
Answer:
There is something wrong in the answer options. Please check the equations and formatting.
Step-by-step explanation:
Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.
This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
The slope, as I've written it, is 3. Parallel lines will have the same slope (but a different b). Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. In this case, it would have a slope of -(1/3).
None of the answer options come close to this. So something is wrong in the question, unless "NONE" is an option.
which translation vector moves every point of a preimage 4 units left and 6 units up?
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070