John is going to make chocolate squares to sell. There are just three ingredients, chocolate, peanut butter and crisped rice, mixed in the ratio 4:2:3 respectively. A bar of chocolate weighs 200g and costs £2.50. A jar of peanut butter contains 250g and costs £1.70. A packet of crisped rice contains 300g and costs £2.00. John makes 4.5kg mixture, which he can cut 100 chocolate squares. He charges 60p for each square and sells all 100 squares. How much profit does he make
Answer:
£18.2
Step-by-step explanation:
4.5 kg = 4.5 * 1000 = 4500 g
Sharing in the ratio :
Chocolate : peanut butter : crisped rice in the ratio 4 : 2 : 3 respectively
Sum of ratio = (4 + 2 + 3) = 9
Chocolate = 4/9 * 4500 = 2000 g
Peanut butter = 2/9 * 4500 = 1000 g
Crisped rice = 3/9 * 4500 = 1500 g
1 bar of chocolate = 200 g at 2.50
2000/ 200 * 2.50 = £25.0
1 jar of peanut butter = 250 g at 1.70
1000 / 250 * 1.70 = £6.8
1 packet of crisped rice = 300g at 2
1500 / 300 * 2 = £10
Total cost of ingredients = £(25+6.8+10) = £41.8
Number of pieces of chocolate squares made = 100
Selling price per square = 60p = £0.6
Total revenue made = £0.6 * 100 = £60
Profit realized = £(60 - 41.8) = £18.2
Circle the table letter below that represents a proportional relationship to this original table:
Cups of Flower Number of cookies
0.5 1 dozen
3/4 1.5 dozen
3 6 dozen
Answers:
(A)
Cups of Flower Number of cookies
1 2 dozen
1/4 0.5 dozen
1.5 3 dozen
(B)
Cups of flower Number of cookies
1 1.5 dozen
3/4 1 dozen
1.5 3 dozen
(C)
Cups of flower Number of Cookies
0.5 1 dozen
3/4 1.5 dozen
2 5 dozen
(D)
Cups of flower Number of cookies
1.5 3 dozen
3/4 0.5 dozen
4 8 dozen
Answer:
immma send you the link friend me on hereStep-by-step explanation:
Basic Ratio Right Triangle Trigonometry Find the missing side X and Y.
Line t is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line t is 3x-y=4. Determine and state an equation for line m.
9514 1404 393
Answer:
line m: 3x -y = 8
Step-by-step explanation:
The dilation scale factor affects only the constant in a linear equation. The scaled lines are parallel to each other, so the slope, or ratio of coefficients, does not change.
3x -y = 4 scaled by a factor of 2 becomes 3x -y = 8.
Calculate the sum. -16 + (-12) C A. 28 B. 4 C. -4 D. -28
Answer:
-28
Step-by-step explanation:
-16 +(-12)
= -16 - 12
adding both of them,
= - 28
The formula for the circumference, C, of a circle with given radius, r, is C = 2nr.
What is the circumference of a circle with a radius of 3 1-2 meters?
(Use 21
22
as an estimate for n.)
A. 7 meters
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
C. 22
Step-by-step explanation:
C = circumference
n (pi) = 22/7
r = 3 1 /2
Plug in the numbers for each variable.
C = 2x (22/7) x (3 1/2)
Change the mixed number inIto an improper fraction by multiplying 3 x 2 and adding the 1 which gives us 7 over 2 because 2 is our denominator so, 3 1/2 = 7/2. It also helps to have 1 as the denominator for 2.
C = (2/1) x (22/7) x (7/2)
Lastly, just multiply the numerators across which give us 308 then multiply the denominators across which gives us 14, so then we divide 308 by 14 and get 22.
F(x) =
X+1 if x 1
-x+1 if 1
X-1 if x>3
Please help
Answer:
f ' [x] = 0
Step-by-step explanation:
Find the length DE. Round your answer to the nearest tenth of a meter
Answer:
13.8
Step-by-step explanation:
We can use trigonometry to find the length of DE
Remember these are the trigonometric ratios
Sin = Opposite over Hypotenuse
Cos = Adjacent over Hypotenuse
Tan = Opposite over Adjacent
For ∠FDE we are given its opposite side length ( FE ) and need to find its adjacent angle ( DE )
When working with opposite and adjacent we use the trig ratio tangent
That being said we want to create an equation to solve for (DE) ( Recall that tan = opposite over adjacent. ) ( let DE = x )
so [tex]tan(51)=\frac{17}{x}[/tex]
now we solve for x
Step 1 multiply each side by x
tan(51) * x = x tan (51)
[tex]\frac{17}{x} *x=17[/tex]
now we have x tan (51) = 17
step 2 divide each side by tan (51)
[tex]\frac{xtan(51)}{tan(51)}=x\\\frac{17}{tan(51)}[/tex]
we now have
[tex]x =\frac{17}{tan(51)} \\[/tex]
[tex]tan(51)=1.234897157\\\frac{17}{1.234897157} =13.76632856[/tex]
we're left with x = 13.76632856
Finally we round to the nearest tenth and get that the answer 13.8
- 1/2 x 2 is equal to *
А. 1
В. 1/4
с. -1/4
D. -1
i believe it would be d. -1
explanation:
you just cancel the common factor which is 2
then rewrite the expression
pleas help due to night
Answer:
w = 28.4 yds
Step-by-step explanation:
P = 12.7 + 4 + 2w
73.5 = 16.7 + 2w
56.8 = 2w
w = 56.8/2
w = 28.4
Answer:
w = 28.4 yards. Sorry need the points.
how do you find the perimeter of a half circle
Answer:
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.
Step-by-step explanation: .
Answer:
πr
Step-by-step explanation:
We know the perimeter of the circle is 2πr , half the perimeter will be equal to ,
=> 2πr/2
=> πr
Hence the required answer is πr .Help please please help…….
Answer:
Choice A
Step-by-step explanation:
y-intercept = -3
double-checked on calculator
Johnny flipped a coin 450 times. His results are:
Heads: 240
Tails: 210
What is the experimental probability that the coin lands on heads?
Please help
help, please!
A rectangle has a a perimeter of 68 ft. The length and width are scaled by a factor 1.5.
The perimeter of the resulting rectangle is ___ ft.
Answer and Step-by-step explanation:
Answer and Step-by-step explanation:
Here is the equation for finding the sides (just to show):
68 = (2L + 2W)
We multiply L and W by 2 because there are two of the lengths and 2 of the widths.
Now, we add the scale factor to the outside, but on both sides of the equation.
68 × 1.5 = 1.5(2L + 2W)
Multiply 68 by 1.5.
102 = 1.5(2L + 2W)
The answer is 102.
The perimeter of the resulting rectangle is 102 ft.
#teamtrees #WAP (Water And Plant)
Veronica and Helga both have collections of trading cards.
Veronica has 752 trading cards.
Veronica has 16 times as many trading cards as Helga.
If Veronica and Helga put their cards together, how many cards would there be?
Mackenzie surveys 80 of her classmates and finds that 85% of them like sports. She also finds that 75% of her 84 relatives like sports. How many
more of her classmates like sports as compared to her relatives?
0.625 rounded to the nearest thousandth
Answer:
the answer is still 0.625
Step-by-step explanation:
the tenths digit is 6, the hundreds digit is 2 and the thousabds digit it 5. SInce it doesn't pass the thousands digit it's fine how it is.
The round off of 0.625 to the nearest thousandth results in 0.626.
To round 0.625 to the nearest thousandth, focus at the digit in the thousandth's place, which is the third decimal place.
In this case, the digit in the thousandth's place is 5.
Since 5 is exactly halfway between 0 and 10, we round up the previous digit, which is 2.
Therefore, rounding 0.625 to the nearest thousandth results in 0.626.
Learn more about Round off here:
https://brainly.com/question/28128444
#SPJ6
In the diagram shown on the left , three lines intersect to form a triangle . What is the value of x ?
Can someone help me with this? Please this would mean so much.
Answers:
x = angle MLN = 35 degrees
angle FLJ = 55 degrees
=================================================
Explanation:
This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.
From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.
Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.
In short: angle FAL is 55 degrees
----------------------
Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.
Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.
It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.
----------------------
We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.
Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.
Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35
In short, angle MLN = 35 degrees
Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.
------------------------
As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...
(angle FLJ)+(angle FLM) + (angle MLN) = 180
55 + 90 + angle MLN = 180
145 + angle MLN = 180
angle MLN = 180 - 145
angle MLN = 35 degrees
pls help me on number 1
Answer:
A. 25in.³
Step-by-step explanation:
Volume of a prism = area of base × height
Determine the perimeter of the shape below
Answer:
43.566 ft
Step-by-step explanation:
Straight sides: 2 long 1 short
2 x 10 + 8 = 28 ft
Curved side: Remember that the circumference of a circle is 2πr or πd.
Since this is a semicircle, divide the circumference you get by 2.
From the diagram: d = 8
total circumference = 8 x π = 8π
semicircle = 8π ÷ 2 = 4π ft
Total perimeter
= (28 + 4π) ft
= (28 + 12.566) ft (5sf)
= 43.566 ft (5sf)
The radius of the hemicircle is r = 8/2 cm = 4 cm.
So the perimeter of the hemicircle part is
[tex]\pi \times r \: = (22 \div 7) \times 4 = 12.57 \: cm[/tex]
The perimeter of the rectangular part = 10+10+8 = 28 cm.
So, the final answer is
[tex]28 \: cm + 12.57 \: cm = 40.57 \: cm[/tex]
A skateboarder goes off of a ramp at a speed of 52 ft./s. The ramp is 5 ft. above the ground with a 30°
angle of elevation. Which set of parametric equations represents the skater's jump? The acceleration due
to gravity is 32 ft/s^2.
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ4
HELP ASAP IXL PLZ HELP
x=1? How to find coordinates::(
Answer:
Q'(1, -5)
R'(1, 1)
S'(5, -5)
Step-by-step explanation:
Since you're reflecting deflecting across x equals to 1 ,also our Q and R Coordinates are on the line x equals to 1 so it's going to stay same only the S coordinates would change. the X value for the coordinates gonna be +ve and Y value gonna be -ve. Because after the reflection of the point the point would lie in the fourth quadrant and in the Forth quadrant Xvalue is positive and Y value is negative.
3. Sohail needs to take a 4-day loan of $750 000 for his small business. How much interest will he need to pay if
interest is charged at 2.2% per year, simple interest?
a. $90.41
b. $542.47
d. $180.82
c. $361.64
Answer:
180.82
Step-by-step explanation:
750,000 x .022=16,500 per year
16,500/365 days =45.2055/day
45.2055 x 4 days = 180.82
Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles
Answer: 0.5
Step-by-step explanation:
Given
There are 3 blue and 1 yellow marble
The chance of picking two marble out of 3 is [tex]^3C_2[/tex]
The total no of ways of picking 2 marbles out of 4 is [tex]^4C_2[/tex]
Therefore, the probability of picking 2 blue marbles
[tex]\Rightarrow P=\dfrac{^3C_2}{^4C_2}\\\\\Rightarrow P=\dfrac{3\times 2}{4\times 3}\\\\\Rightarrow P=\dfrac{1}{2}[/tex]
Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?
Answer:
1. 37.5 (70*0.50)
2. 12 (60*0.20)
3. 45 (60*0.75)
Step-by-step explanation:
m * p
(percentage in decimal form)
Divide.
(2x2 + 13x + 9) = (x + 7)
I think the right question, should be like this,
= 2x² + 13x + 9/x + 7
So, the quotient is 2x - 1 and the remainder is 16, you can find answer there in attachment.
---------------------------------------
P.S- Sorry for messing writing.
Help me please ! Please
Answer:
maybe 36
Step-by-step explanation:
3 shirts 4 pants 3 shoes it maybe 3*4*3
2/3 dividido 1/3
A- 2/9
B- 3
C- 2
D- 1/2
Answer:
C
2/3 dividido 1/3 = 2
Step-by-step explanation:
Determining the Length of a Rod
Jorge needs to ship a thin metal rod to a metalworking shop. The only boxes available for shipping are 7-inch cubes. To the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
The length of the longest metal rod that can be sent in a 7-inch cube box is 12 inches.
To determine the length of the longest metal rod that can be sent in a 7-inch cube box, we need to consider the diagonal of the cube as the maximum length of the rod.
In a cube, the diagonal can be calculated using the Pythagorean theorem. The formula for the diagonal of a cube is:
diagonal = √(side^2 + side^2 + side^2)
Since we know that the cube has sides of 7 inches, we can substitute this value into the formula:
diagonal = √(7^2 + 7^2 + 7^2)
diagonal = √(49 + 49 + 49)
diagonal = √147
diagonal ≈ 12.124 inches
Therefore, the correct answer is:
12 inches
This means that the metal rod should not exceed 12 inches in length in order to fit inside the 7-inch cube box for shipping. Any rod longer than 12 inches would not be able to fit diagonally within the box.
For more such questions on metal rod
https://brainly.com/question/14071390
#SPJ8