Answers
Answer:
£1.31
Step-by-step explanation:
5:7:12
5x+7x+12x= 21624x= 216x= 9small : medim : large = 45 : 63 : 108
45y+63*2y+108*3y= 648.45y(45+126+324)= 648.45495y= 648.45y= 648.45/495y= £1.31 profit for small cakeAnswer:
£1.31
Step-by-step explanation:
The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )
sum the parts of the ratio, 5x + 7x + 12x = 24x
Equate 24x to the number of cakes sold, that is
24x = 216 ( divide both sides by 24 )
x = 9
Thus cakes sold are
5x = 5 × 9 = 45 small cakes
7x = 7 × 9 = 63 medium cakes
12x = 12 × 9 = 108 large cakes
let p represent the profit on a small cake, then
45p + 63(2p) + 108(3p) = 648.45 , that is
45p + 126p + 324p = 648.45
495p = 648.45 ( divide both sides by 495 )
p = 1.31
That is the profit on one small cake is £1.31
Related Questions
Write a sequence with at least 5 terms that forms a pattern. Identify the rule.
please its due in an hour!!!!!!!!!!!!!
Answers
The pattern is attached in the image provided with the work.
I have started off listing 4 terms and then 3 blanks
so we can study the pattern and find the next few terms.
Here, notice that the difference between -5 and 1/2 and -5 is +1/2.
The difference between -5 and -4 and 1/2 is +1/2
and the difference between -4 and 1/2 and -4 is +1/2.
Continuing the same pattern, -4 + 1/2 will be equal to -3 and 1/2.
-3 and 1/2 + 1/2 will be equal -3
and -3 + 1/2 will be equal to -2 and 1/5.
4. The interior angles of a triangle are 60°, 45° and 75°. The shortest side is 10 cm less than the
longest side. Determine the perimeter of the triangle to the nearest cm.
Answers
Answer:
Step-by-step explanation:
The length of each side corresponds to the sizes of each angle respectively.
To determine the length of each side, we would apply sine rule which is expressed as
a/sinA = b/SinB = c/SinC
The diagram of the triangle is shown in the attached photo. The longest side is c. If the shortest side is 10 cm less than the longest side, it means that the length of the shortest side is c - 10
Therefore,
c/Sin75 = (c - 10)/Sin45
c/0.966 = (c - 10)/0.707
Cross multiplying, it becomes
c × 0.707 = 0.966(c - 10)
0.707c = 0.966c - 9.66
0.966c - 0.707c = 9.66
0.259c = 9.66
c = 9.66/0.259
c = 37.3 cm
The shortest side is
37.3 - 10 = 27.3 cm
Applying the sine rule again,
b/Sin60 = 37.3/Sin75
b/0.866 = 37.3/0.966
Cross multiplying, it becomes
0.966b = 0.866 × 37.3
b = 32.3018/0.966
b = 33.4 cm
The perimeter is
27.3 + 33.4 + 37.3 = 98 cm
4. Rewrite a formula to isolate a variable:
The velocity(v) of a rocket depends on the time it was firing its boosters(t), and on
the exhaust velocity(c) and on the ratio of mass full to empty(R). Units are km/s.
v = -0098t + c ln R
a. Rewrite the formula so that it solves for R.
V=-0098t + clnR
Answers
Answer:
[tex]v=-0.098t+c\ln(R)\\c\ln(R)=v+0.098t\\ln(R)=\frac{v+0.098t}{c} \\R=e^{\frac{v+0.098t}{c}}[/tex]
19. Seja 17x 51y+ 102. Qual é o valor de 9x 27y ? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Answers
Pergunta correta:
Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado
Resposta: A) 54
Explicação passo a passo:
17x + 51y = 102 - - - - equação 1
Divulgue até 17
x + 3y = 6 - - - - - - - Equação 2
9x + 27y - - - - - - - equação 3
Comparando as equações 2 e 3
(Equação 3) = 9 × (equação 2)
Isso é, 9x + 27y = 9 × (x + 3y = 6)
9x + 27y = 9x + 27y = 54
Portanto ; 9x + 27y = 54
in need of help, PLEASEEEE AND THANK YOUUUUUUUUUU <3
Answers
Answer:
y = 3/2x - 4
Step-by-step explanation:
Slope-intercept form is y = mx + b
When we count rise over run, we get 3/2
y = 3/2x + b
The line intersects the y-axis at -4
y = 3/2x - 4
I hope this helps :))
Ann increased the quantities of all the ingredients in a recipe by 60%, percent. She used 80 grams , of cheese. How much cheese did the recipe require?
Answers
Answer:
The recipe originally required 50 grams of cheese.
Step-by-step explanation:
1.6x=80
x=50
Find the slope of the line that passes through (5, 9) and (2, 2).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
bdudbrksowodndiwnsonsuendumdjdndoamslals
The right answer is 7/3
hope it helps
Good luck on your assignment
Please answer this it's pre-algebra I will give brainliest and thanks
A 40-question test has 108 possible points. There are m 4-point questions and n 2-point questions. How many of each type of questions are on the test?
Answers
Answer:
14 4 point questions and 26 2 point questions
Step-by-step explanation:
i just know
Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)
Answers
Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.
See attached drawing.
For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]
Can (somebody)help me!!!
Answers
Answer:
20 meters
Step-by-step explanation:
The area of a rhombus is the height multiplied by the base. Conversely, the height of a rhombus is the area divided by the base. Therefore, the height of this rhombus is 20 meters. Hope this helps!
Mrs. Ballin owns a candy shop. Last year her expenses were $66,350. She sold
$115,849 worth of candy. What was her profit?
Answers
Profit = amount sold - expenses
Profit = 115,849 - 66,350
Profit = $49,499
What is the midpoint of the segment shown below?
Answers
Answer:
(1, -3/2)
Step-by-step explanation:
The x coordinate is the same for both endpoints so the x coordinate for the midpoint is 1
The y coordinate for the midpoint is found by adding the two y coordinates and dividing by 2
(2+-5)/2 = -3/2
The midpoint is
(1, -3/2)
Answer:
The answer is D
Step-by-step explanation:
Find the perimeter and area of a 4 m by 12 m
rectangle.
Answers
Answer:
P=32m
A=48 m^2
Step-by-step explanation:
if two shorter sides are 4m each and the two longer sides are 12 m
4+4+12+12 to find the total P
Area, time the LENGTH by WIDTH to find the squared meters in the rectangle .
4x12 = AREA
A grocer wants to mix two kinds of candy. One kind sells for $1.80 per pound, and the other sells for $3.00 per pound. He wants to mix a total of 15 pounds and sell it for $1.95 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answers
Answer: 13.12 pounds of the candy that sells for $1.80 per pound 1.88 pounds of the candy that sells for $3 per pound should be in the mixture.
Step-by-step explanation:
Let x represent the number of pounds of the candy that sells for $1.80 per pound that should be in the mixture.
Let y represent the number of pounds of the candy that sells for $3.00 per pound that should be in the mixture.
The total pounds of both candies in the mixture is 15. It means that
x + y = 15
Since he wants to sell the mixture for $1.95 per pound, the cost of the mixture per pound would be 1.95(x + y)
The equation would be
1.8x + 3y = 1.95(x + y)- - - - - - - - - - 1
Substituting x = 15 - y into equation 1, it becomes
1.8(15 - y) + 3y = 1.95(15 - y + y)
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 + 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
x = 15 - y = 15 - 1.88
x = 15 - 1.88 = 13.12
Answer:
the grocer should mix approximately 13.12 pounds of 1st candy.
the grocer should mix approximately 1.88 pounds of 2nd candy.
Step-by-step explanation:
From the given information.
let x represent the pounds of the first candy and y represent the pound of the second candy
We are being told that the grocer wants to sell a total of 15 pounds,
so;
[tex]x+y = 15 \\ \\x= 15-y[/tex] ----- (1)
also; we are being informed that one kind sells for $1.80 per pound, and the other sells for $3.00 per pound. and he wants to mix a total of 15 pounds and sell it for $1.95 per pound.
So;
[tex]1.80 x + 3y = 15(1.95)[/tex]
[tex]1.80x + 3y = 29.25[/tex] ------(2)
Replacing equation (1) into 2 ; we have :
1.8(15 - y) + 3y = 29.25
27 - 1.8y + 3y = 29.25
- 1.8y + 3y = 29.25 - 27
1.2y = 2.25
y = 2.25/1.2
y = 1.88
Therefore, the grocer should mix approximately 1.88 pounds of 2nd candy.
Replacing the value of y into equation (1)
x = 15 - y
x= 15 - 1.88
x = 13.12
Therefore, the grocer should mix approximately 13.12 pounds of 1st candy.
What is the domain of this function?
Answers
Answer:
Step-by-step explanation:
The closed dot at (0, 9) indicates that that's where the graph begins. The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as
{x | x ≥ 0}
Find the distance between the pair of points given on the graph
Answers
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre of the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images. Sample 1= 4 Sample 2= 1 Sample 3= 9 How do the sample statistics compare to the population mean and standard deviation?
Answers
k = 13The smallest zero or root is x = -10
===============================
Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Please mark brainliest
Hope this helps.
what is 2 7/8 x 2/3
Answers
Answer:
2.25
Step-by-step explanation:
Which of the following describes how to translate the graph y = lxl  to obtain the graph of y = lxl -4
Answers
Answer: 4 units down.
Step-by-step explanation:
When we have the graph y = f(x)
We can do verticals translations as:
y = f(x) + a.
if a is a positive number, the new graph for y is moved a units upside.
if we want to do a translation down, we should do:
y = f(x) - a.
Now, our f(x) = IxI, and our translation is:
y = IxI - 4
You can see that we have a subtraction of a positive number (4) so we have a translation of 4 units downwards.
What is the area of this isoceles trapezoid?
Answers
7 2
Step-by-step explanation:
Answer:
72^2 units
Step-by-step explanation:
A=a+b/2×h
A=12+6/2×8
A=18/2×8
A=9×8
A=72^2units
A store displays the sign shown. You want to buy a belt that costs &8 and a pair of jeans. You have $18. Write and solve an inequality to find the original prices you can afford
Answers
Answer: P ≤ $10
Step-by-step explanation:
You have $18
You want to buy a belt that cost $8, so the money that you have tou buy a pair of jeans is $18 - $8 = $10
This means that we the range of prices P that you can afford is:
P ≤ $10
This means that the price of the jeans can be, at maximum, 10 dollars.
log base 4 (x^2) - log base 4 (x)
Answers
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
in a Gallup youth survey done in 2000, 501 randomly selected American teenagers were asked how well they get along with their parents. A survey result was that of 270 teenagers said they get along "very well" with their parents. Use this to estimate the proportion who would say they got along "very well" with their parents, including a margin of error.
Answers
The margin of error would be 1 / √n, where n is the number of students asked.
Margin of error = 1/√501 = 0.0446
Multiply by 100 to change to a percent:
0.446 x 100 = 4.46%
Rounding may be off slighly, so it looks like b would be the correct answer.
Is it possible to form a triangle with
side lengths 5, 3, and 5 units?
Answers
Answer:
Yes
Step-by-step explanation:
Isosceles triangle with base of 3 units and sides of 5 units
Answer:
yes
Step-by-step explanation:
use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle
4x2 + 25y2
factor the following
Answers
Answer:
see explanation
Step-by-step explanation:
This polynomial is irreducible, that is cannot be factored.
4x² + 25y² ← is a prime polynomial
Answer:
1, the polynomial itself
Step-by-step explanation:
This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)
Have a feeling it’s 3X am i correct ??
Answers
Answer:
D
Step-by-step explanation:
The volume of a cube can be found by multiplying together all of the side lengths by each other, or:
[tex]x\cdot x \cdot x=x^3[/tex]
Therefore, the correct answer is D. Hope this helps!
Answer:
D. x^3.
Step-by-step explanation:
The volume = length*width*height
= x * x * x
= x^3.
What is the probability of rolling a die and it landing on a number less than 3?
Answers
Answer:
2/6 (33.33%)
Step-by-step explanation:
Answer:
The answer would be 1/3
Step-by-step explanation:
There are 6 faces in a dice and 2 of which are less than three. So the answer would 2/6 which is simplified as 1/3.
Please help me :( I’m struggling
Answers
Answer:
im assuming its b because the quality for the pic is bad and i cant really see it
Step-by-step explanation:
Answer:
the answer is c i believe
In a certain room, there are 28 women and 21 men. What is the ratio of
men to women? What is the ratio of women to the total number of
people?
Answers
Answer:
The men to women ratio is 3 : 4The ratio between women to total number of people is 4 : 7Step-by-step explanation:
Men to women ratio = 21 : 28 or 3 : 4
The men to women ratio is 3 : 4
Total people = 21 + 28 = 49 people
The ratio of women to total number of people is
28 : 49 or 4 : 7
The ratio between women to total number of people is 4 : 7
What is the sum?4 1/2 + 5 1/2
Answers
Answer:
10
Step-by-step explanation:
plz mark as brainliest
Answer:
10
Step-by-step explanation: