Answer:
24
Step-by-step explanation:
Given that:
Cost of each Enerbar = 30p
Number of Enerbars = 50
Cost of each grain bar = 50p
Number of grain bars = 150
Number of Amazebars = 50
Cost of each Amazebar = 0p (Because it was given as promotion)
Sales price of each bar = £2.20
Total profit earned = £402.80
All other bars were sold but Amazebars.
To find:
How many Amazebars were sold?
Solution:
First of all, let us have a look at the profit earned by selling each type of bar.
Profit is nothing but the difference between sales price and cost price.
Profit at selling each Enerbar = £2.20 - 30p = £1.90
Profit at selling 50 Enerbars = £1.90 [tex]\times[/tex] 50 = £95
Profit at selling each grain bar = £2.20 - 50p = £1.70
Profit at selling 50 grain bars = £1.70 [tex]\times[/tex] 150 = £255
Profit by selling Enerbars and grain bars = £95 + £255 = £350
Profit by Amazebars = £402.80 - £350 = £52.8
Number of Amazebars sold = Profit by Amazebars divided by Profit by selling one Amazebar
[tex]\Rightarrow \dfrac{\£52.80}{\£2.2}\\\Rightarrow \bold{24}[/tex]
Suppose b varies directly with a and inversely with the square root of c. If b=5 when a=2 and c=4, find b when a=12 and
c=100
What if b
Answer:
b = 6 when a=12 and
c=100
Step-by-step explanation:
b = (k*a)/√c
b=5 when a=2 and c=4
5 = (k*2)/√4
5 = 2k/2
Cross product
5*2 = 2k
10 = 2k
k = 10/2
= 5
k = 5
find b when a=12 and
c=100
b = (k*a)/√c
= (5*12)/√100
= 60/10
= 6
b = 6
Aaron has three slabs of beeswax. He plans to melt them and use all of the wax to form 36 candles. If all the candles are the same size and weight, how much will each candle weigh?
Weight of slab of beeswax isn't given.
Assume slab of beeswax = 36 gram.
Answer:
3 gram
Step-by-step explanation:
Each slab of beeswax = 36 gram
Total weight of all 3 slabs = (3 * 36) = 108 g
Number of same-sized candles to make = 36
The weight of each candle will be ;
Total weight of slabs / number of candles
108 g / 36
= 3 grams
Mike and Jasmine has a combined age of 30.
Mike is 3 years younger than twice Jasmines age.
How old is Mike?
You get a loan for $2500 with a simple interst of 16% for 3 years. How much to you have to pay back?
Answer:
$3,700
Step-by-step explanation:
16% of 2500=400
400×3(years)=1,200
2500+1200=3700
what is the value of x and y?
Answer:
y=70 x=20
Step-by-step explanation:
Answer:
The x-intercept is found by finding the value of x when y = 0, (x, 0), and the y-intercept is found by finding the value of y when x = 0, (0, y).
Step-by-step explanation:
x y = x + 2 Ordered pair
0 0 + 2 = 2 (0, 2)
1 1 + 2 = 3 (1, 3)
2 2 + 2 = 4 (2, 4)
this is probably not right but i gave an an example
:)
Find the value of a5, given the sequence defined as: a1 = 32 an = (1/2)an-1
Answer:
a5 = 2
Step-by-step explanation:
If a1 = 32,
a1 = 1/2 a0 = 32
a0 = 64
With that, we know that
a0 = 64,
a1 = 32
so, a2 is definitely 16. From that, we may know the formula,
an = a0 (1/2)^n
a5 = a0 (1/2)^5
a5 = 64 (1/32)
a5 = 2
Can you help me!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B. Lease
Step-by-step explanation:
Cash has value
A vehicle has value
A house has value
But a lease itself does not have value
Asset is something you own that has value
Hope this helped!
Have a supercalifragilisticexpialidocious day!
You have $20. This week, you choose to put 10% in your piggy bank. Next week, you decide to put 10% of your money in your bank again. How much money do you have left to spend?
Answer:
the amount left is 16.2
Step-by-step explanation:
The computation of the amount of money spend is shown below;
Given that
Total money available $20
This week 10% would be put in piggy bank
and, in next week 10% of the money would be put again in piggy bank
So the money left is
= $20 - $20 × 10% - ($18 × 10%)
= $20 - $2 - $1.8
= $16.2
Hence, the amount left is 16.2
Scientists bounce a laser beam off a mirror. It reflects at the same angle as it hits the
mirror and is detected by an instrument several inches away.
Calculate the total distance of the laser beam travels. Round to the nearest tenth if necessary.
Answer and Step-by-step explanation:
Simply use triangles to find the length of the lasers.
The first triangle consists of the sides of 12 inches, 18 inches, and the laser (which is the hypotenuse).
Use the Pythagorean theorem to solve for the hypotenuse.
([tex]a^{2}+ b^{2} = c^{2}[/tex])
[tex]12^{2} +18^{2} = l^{2} \\\\144 + 324 = l^{2} \\\\468 = l^{2} \\\\Square-root-both-sides\\\\\ \\\sqrt{468} = l[/tex]
l ≈21.633
Now, we solve the other triangle.
[tex]9^{2} +6^{2} = l^{2} \\\\81 + 36 = l^{2} \\\\117 = l^{2} \\\\Square-root-both-sides\\\\\sqrt{117} =l\\l = 10.8167[/tex]
Now, add those two hypotenuses.
21.6333 + 10.8167 = 32.45
32.45 rounds up to 32.5
32.5 is the total distance the laser beam travels.
#teamtrees #WAP (Water And Plant)
Please help. Will go be brainliest
Answer:
a
Step-by-step explanation:
7/9 * 10/9 * 0.62 =
(7 * 10 * 62) / (9 * 9 * 100)
Multiply
4340 / 8100
Simplify by dividing by 20.
217/405 (about 0.535)
This is less than 2/3 (about 0.66), so it has to be "a" because all the other options are greater than 2/3
What is the difference between a service charge and a finance charge?
A) A service charge is a fee which must paid every month, while a finance charge is a one-time fee assessed at the beginning or end of a loan period.
B) A service charge is a flat fee charged to a borrower, while a finance charge is a fee charged to a borrower based on the amount borrowed.
C) A service charge is a fee assessed by a lender, while a finance charge is a fee charged by a financial institution, such as a bank.
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
Please EXPLAIN work in detail, Thank You!
Answer:d
Step-by-step explanation: because that’s the answer
D) A service charge is a fee assessed by a lender other than interest, and a finance charge is the total of the interest paid on a loan and the service charge.
According to accounting and finance terminology, the finance charge is the total fees that you pay to borrow the money in question. This means that the finance charge includes the interest and other fees that you pay in addition to paying back the loan.
Gina has 90 meters of yarn.She uses 4 1/2 meters of yarn for every box she makes.How many boxes can she make from the yarn? 1.What is asked? 2.What are the given facts? 3.What is the opertaion to be used? 4.What is the number sentence? 5.What is the complete answer? 4. 5.
Answer:
1) The problem asks for the number of boxes than can be made from the yarn.
2) There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) We need to divide the total length of yarn by the length used to produce a box.
4) 20 boxes.
5) Gina can make 20 boxes from 90 meters of yarn.
Step-by-step explanation:
1) What is asked?
R/ The problem asks for the number of boxes than can be made from the yarn.
2) What are the given facts?
R/ There are two facts: (i) Gina has 90 meters of yarn, (ii) Gina uses 4 1/2 meters of yarn for every box she makes.
3) What is the operation to be used?
R/ We need to divide the total length of yarn by the length used to produce a box.
[tex]x = \frac{90\,m}{\frac{9}{2}\,m }[/tex]
[tex]x = 20[/tex]
4) What is the number sentence?
R/ 20 boxes.
5) What is the complete answer?
R/ Gina can make 20 boxes from 90 meters of yarn.
Consider this quadratic equation:
2x2+1x+3=0
Comparing it to the standard form, name a, b, and c
a=
b=
C=
Explanation: The value for a comes from the coefficient
on the x² term which in this case is 2 so we say that a = 2.
The value for b comes from the coefficient on the x term
which in this case is 1 so we say that b = 1.
The value for c comes from the constant term
which in this case is 3 so we say that c = 3.
A=0.75V−M solve for v
Answer:
V=1.3(repeating)A+1.3(repeating)M
At a real estate agency, an agent sold a house for $360,000. The commission rate is 25% for the real estate agency and the commission rate for the agent is 30% of the amount the real estate agency gets. How much did the agency make on the house? How much did the agent earn in commission?
Answer: See explanation
Step-by-step explanation:
a. The amount that the agency make on the house will be 25% of $360,000. This will be:
= 25% × $360,000
= 25/100 × $360,000
= 0.25 × $360,000
= $90,000
b. The amount that the agent earn in commission will be:
= 30% × $90,000
= 30/100 × $90,000
= 0.3 × $90,000
= $27,000
Hi am new. What do I do
Answer:
You can add your question to your question or add a picture to it.
Step-by-step explanation:
Answer: you ask questions and answer stuff like the way I’m doing oh and welcome :’
Step-by-step explanation:
Order the numbers from least to greatest.
74%, 3/4, 0.76
Answer:
74% 3/4 and .76 just like that
atStep-by-step explanation:
She ran 13.04 seconds per 100 meters, how fast was she running in meters per hour?
Answer:
27607.3619632 meters per hour
Step-by-step explanation:
She was running 7.6 m/s 3600 seconds in a hour
3600x7.6=27607.36
i need two more , i got 1
Answer:
X=12,-4
Step-by-step explanation:
Set them equal to each other to get x^2=8x+48. Then move them both to the other side to get x^2-8x-48. Then factor the expression to get (x-12)(x+4). Set that to 0 to get x=12 and x=-4
13 m
6 m
8 m
✓
7 m
What is the perimeter and the area?
Answer:
4368 m
Step-by-step explanation:
13x6x8x7=4368
7/9z-6/9z+2-5/9z-9=
FAST plz ASAP
Answer:
-4/9z-7
Step-by-step explanation:
7/9z-6/9z+2-5/9z-9
=7/9z-6/9z-5/9z+2-9
=(7-6-5)/9z+(2-9)
=-4/9z-7
anyone know this? I need help with this badly
Answer:
Step-by-step explanation:
no
let f(x)=2x and g(x)=2x
Graph functions on the same coordinate plane.
What solutions to the equations f(x)=g(x)?
Answer:
Rewrite (Lambert form):
[tex]e^{\ln \left(2\right)\left(1-\left(-\frac{u}{\ln \left(2\right)}\right)\right)}\left(-\frac{u}{\ln \left(2\right)}\right)=1[/tex]
Simplify :
[tex]-\frac{e^{\ln \left(2\right)+u}u}{\ln \left(2\right)}=1[/tex]
Solve:
[tex]u=-2\ln \left(2\right),\:u=-1\cdot \ln \left(2\right)[/tex]
Result:
[tex]x=2,\:x=1[/tex]
Hope this helped u :)
If this was too complicated I can edit it for you.
What is value of x
Plz help
Answer:
10√2
Step-by-step explanation:
This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units
We can then use a^2+b^2=c^2 to solve for the last side
so we have
10^2+10^2=x^2
200=x^2
sqrt200=x
and I see that they want an exact answer so you simplify sqrt200 to
10√2
can someone help me?
Answer:
Yes
Step-by-step explanation:
Use the method [tex]\frac{rise}{run}[/tex].
Answer:
Yes
Step-by-step explanation:
The relationship between y and x is:
y=1/4x, because when
x=4, y=1
x=8, y=2
x=12, y=3
x=16, y=4
6x+5-4y-2x+y=
PLEASE HELP ME I NEED IT ASAPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!
Answer:
There is no way to solve this for x or y, as only one relationship between those variables is provided. We can, however simplify that expression.
6x + 5 - 4y - 2x + y
group like terms:
= 6x - 2x - 4y + y + 5
add like terms together
= 4x -3y + 5
And that is as much as can be done with just that expression.
The simplest form of the given equation 6x+5-4y-2x+y is 4x - 3y + 5.
What is simplification?A mathematical expression is simplified when it is replaced with a simpler, typically shorter, equivalent statement. Simplifying procedures is one way to achieve uniformity in work efforts, expenses, and time. It reduces diversity and variety that is pointless, harmful, or unnecessary.
Given an expression 6x+5-4y-2x+y
simplifying it
=> 6x -2x -4y + y +5
(adding terms with same variable)
=> 4x - 3y + 5.
therefore, the simplest form of the given equation is 4x - 3y + 5.
Learn more about simplification here:
brainly.com/question/24242989
#SPJ2
WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!
Answer:
Area = 342[tex]cm^2[/tex], Perimeter = 22.79 cm
Step-by-step explanation:
First, divide the shape into 3:
An arc, a square, and a triangle.
Dimensions of shapes:
Arc:
Degree = 40°
Arms = 4 cm
Square:
All sides are 4 cm
Triangle:
base = 3 cm
height = 4 cm
hypotenuse = 5 cm
To get perimeter:
Arc length = [tex]\frac{40}{360} * (2*\pi * (4))[/tex] (4 is the arm length ) = 2.7925 cm
Arc arm = 4 cm
Square sides (only two are outside) = 2 * 4 = 8 cm
Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm
So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm
To get area:
Arc area (the pizza shape) = [tex]\frac{40}{2\pi } * \pi * (4)^{2}[/tex] (4 is the arm length) = 320 [tex]cm^{2}[/tex]
Square area = side * side = 4 * 4 = 16 [tex]cm^{2}[/tex]
Triangle = (1/2) * base* height = (1/2) * 3 * 4 = 6[tex]cm^{2}[/tex]
So total area is 320 + 16 + 6 = 342[tex]cm^2[/tex]
Answer:
Area=27.58 cm^2
Perimeter =22.29cm
Step-by-step explanation:
The shape consists of a sector and a trapezium
For area= area of sector +area of trapezium
[θ/360*πr^2]+[1/2(a+b)h]
[40/360*3.14*4^2]+[1/2(4+7)4]
5.58+22
27.58cm^2
For perimeter = perimeter of sector +perimeter of square +perimeter of triangle
[θ/360*2πr]+[4s]+[1/2(a+b)]
[40/360*2*3.14*4]+[4*4]+[1/2(4+3)]
2.79+16+3.5
22.29cm
what is x?
-5 (x - 1) = 40
Answer:
x= -7
Step-by-step explanation:
have a good day
Step-by-step explanation:
- 5 (x - 1) = 40(Multiply -5 by the values in the bracket)
-5x + 5 = 40(Subtract 5 on both sides)
-5x = 40 - 5
-5x = 35 (Divide both sides by -5)
x=-7
If there's a three day rain forecast for the probability of rain , 70% Friday, 70% Saturday, 70% Sunday A) work out the probability that it will rain on all three days B) work out the probability that it will rain on exactly two consecutive days
Answer:
a) 34.3%
b) 49%
Step-by-step explanation:
In order to find the probability of a sequence of events, we need to multiply each individual probability by the others in decimal form. Therefore, we need to turn these probabilities into decimal form by dividing them by 100 like so..
70% / 100 = 0.70
Now we multiply all of them together and multiply the product by 100 to get the percentage.
0.70 * 0.70 * 0.70 = 0.343
0.343 * 100 = 34.3%
34.3% is the probability of it raining on all three days. Now to find the probability of it raining on two consecutive days we do the same but multiply only 2 probabilities
0.70 * 0.70 = 0.49
0.49 * 100 = 49%
Help mee please!!
answer choices:
(2,3)
(3,2)
(3,4)
(3,-2)