Answer:
Profit of one small cake =£108.08
Step-by-step explanation:
small : medium : large = 5 : 7 : 12
Sum of the ratio = 5 + 7 + 12 = 24
Total number of cakes = 216
Number of small cakes
[tex]= \frac{5}{24} \times 216 = 5 \times 9 = 45[/tex]
Number of medium cakes
[tex]= \frac{7}{24} \times 216 = 7 \times 9 = 63[/tex]
Number of large cakes
[tex]=\frac{12}{24} \times 216 = 12 \times 9 = 108[/tex]
Let profit of one small cake be = x
Profit of medium cake is twice profit of small cake = 2x
Profit of large cake is thrice profit of small cake = 3x
Total profit = £648.45
x + 2x + 3x = £648.45
6x = 648.45
x = 108.075
Therefore , profit of one small cake =£108.08
Step-by-step explanation:
216 cakes =5+7+12
=24
5 = 216 cakes ÷ 24 × 5
= 45 cakes
7 = 216 cakes ÷ 24 × 7
= 63 cakes
12 = 216 cakes ÷ 24 × 12
=108 cakes
£648.45 ÷ (45+63+63+108+108+108)cakes = £648.45 ÷ 495
= £1.31
45 cakes × £1.31 = £58.95
i not sure,hope it help.
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4 types of drinks to choose from, 5 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answer:
60 different meal packages are possible.
Step-by-step explanation:
Fundamental counting principle:
States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.
In this question:
4 types of drinks
5 types of sandwiches.
3 types of chips.
They are independent events, so, by the fundamental counting principle:
4*5*3 = 60
60 different meal packages are possible.
what is the answer?
how many vertices does the following shape have?
Family Flowers employs 17 people, of whom 14 earn gross pay of $660.00 each and 3 earn gross pay of $700.00 each on a weekly basis. What is the employer's share of total Social Security and Medicare taxes for the first quarter of the year? (Social security tax is 6.2% of wages up to $128,400. Medicare tax is 1.45% of all wages.)A. $660.00B. $700.00 C. $850.68D. $11,277.63
Determine the solution set of (x-4)^2=12.
A: {4+2 square root of 3, 4-2 square root of 3}
B: {4-2 square root of 3, 4-2 square root of 3}
C: {2 square root of 3 + 4, 2 square root of 3 -4}
Step-by-step explanation:
answer is in photo above
Find the sum of smallest 7-digit number and largest 4-digit number
Step-by-step explanation:
[tex]smallest \: 7-digit = 1000000 \\ \\ largest \: 4 - digit \: number = 9999 \\ \\ sum = (1000000 + 9999) \\ \\ sum = \: 1009999 \\ \\ hope \: it \: is \: helpful \: to \: you \: (◕ᴗ◕✿)[/tex]
A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is a.different for each interval. b.the same for each interval. c.at least one. d.zero.
Answer:
Hence the correct option is Option b that is the same for each interval.
Step-by-step explanation:
The PDF for Uniform distribution in [a,b] is given by
[tex]f(x)=\frac{1}{b-a}~~~~~~a\leq x\leq b[/tex]
So the probability that the random variable assumes a value in [a,b] is given by
[tex]\int_{a}^{b}f(x)dx=\int_{a}^{b}\frac{1}{b-a}dx=1[/tex]
Therefore the correct option is b. the same for each interval.
Evaluate: (x^2-1)/(x-1) if x goes to 1?
Step-by-step explanation:
[tex]\displaystyle \lim_{x \to 1} \dfrac{(x^2 - 1)}{(x-1)} = \lim_{x \to 1} \dfrac{(x - 1)(x+1)}{(x-1)} [/tex]
[tex]\:\:\:\:\:\:\:\:\displaystyle = \lim_{x \to 1} (x+1) =2[/tex]
Frank kept track of the amount of money he earned each day for 2 weeks. The amounts, in dollars, are listed below. 25, 30, 24, 20, 20, 22.5, 75, 27, 27, 22, 22, 27, 22.5, 28 Part A Find and calculate the measures of center and variability that best summarize Frank's data. Explain. Part B Frank says that he typically makes about $27 per day because the mode is 27. Is Frank's conclusion appropriate? Explain.
Answer:
209
Step-by-step explanation: guyci you y tf7itfit 6tuit6yci7v uvtfi7ftyvg hkvyucoyvyvhj gku citctvo utictgvuk h jh hj vvuk
c A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vvvv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
vv A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
v A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?
que por qué me va a dar 70
what number x anuder number is =70
Answer: i didnt really understand what you put but i can help you out. If your saying what _ x _ = 70. You can do 10 x 7 or 7x10
Step-by-step explanation:
identify the focus and directrix of the graph of the equation x= -1/18^y^2
i don’t get this at all, and need help.
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Answer:
B. F(-9/2, 0), x = 9/2
Step-by-step explanation:
One definition of a parabola is that it is all of the points that are equidistant from the focus and the directrix. Among other things, this means the parabola "wraps around" the focus, and opens away from the directrix.
The focus is on the axis of symmetry, so shares a coordinate with the vertex. Since the vertex is a point on the parabola, it is equidistant from the focus and directrix—halfway between them.
The given equation has x get more negative as y increases, so the parabola opens to the left. This means the focus will be a point on the -x axis. Only one answer choice meets that requirement:
focus: (-9/2, 0), directrix: x = 9/2
__
The equation of a parabola with its vertex at the origin can be written as ...
x = 1/(4p)y^2
In this case, we have 4p = -18, so p = -9/2. This is the distance from the vertex to the focus. The negative sign means the focus is to the left of the vertex, and its x-coordinate is -9/2 (as noted above).
change the following into mixed fraction 13/5
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
PLSSSSSSS ASAPPPPPPPP
A)157
B)67
C)177
D)None of these answers
E)23
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
Solve for x:
X-7 = 4
O A) x = 11
OB) x= 28
OC) x = 14
OD X=3
Answer:
x = 11
Step-by-step explanation:
X-7 = 4
Add 7 to each side
x-7+7 = 4+7
x = 11
Answer:
x=11
Step-by-step explanation:
Move the constant to the right -hand side and change its sign
x= 4+7
then add the numbers
x= 4+7
which =11
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
Shawn, Ryan, and Dominic ate a whole pizza.Shawn ate 1/6 of the pizza, Ryan at 1/2 of the pizza and Dominic ate the rest how much pizza did Dominic eat
Answer:
Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
Step-by-step explanation:
First you want to convert the fractions so they all have the same denominator (bottom number in the fraction.) That will make it a lot easier to add and subtract with them.
[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]
So Shawn ate 1/6 of the pizza, and Ryan ate 3/6 of the pizza. To find what else makes up the whole pizza (what Dominic ate) we add 1/6 and 3/6, then subtract from the whole.
[tex]\frac{1}{6}[/tex] + [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{6}[/tex]
[tex]\frac{6}{6}[/tex] - [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{6}[/tex]
Therefore Dominic ate [tex]\frac{2}{6}[/tex] of the pizza.
Which one hurry
A.9
B.18
C.27
D.33
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
100 Points! show work or i report! Find the tangent ratio for
Answer:
tan P = 15/8
Step-by-step explanation:
tan = opposite / adjacent
tan P = RQ/PR = 15/8
Option A
What is XY? The triangle XZY is right angle triangle. Angle z is right angle and angle X and Y are 45 degree. The side YZ is 5. A. 2–√ B. 5 C. 52–√ D. 10
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Answer:
C. 5√2
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the length of either leg. The given leg (YZ) is 5 units, so the hypotenuse XY is 5√2 units.
The frequency distribution below represents frequencies of actual low temperatures recorded during the course of a 31-day month. Use the frequency distribution to construct a histogram. Do the data appear to have a distribution that is approximately normal?
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Class} & {Frequency} & A\ 39-44 & 1 & B\ 45-50 & 3 & C\ 51-56 & 8 & D\ 57-62 & 6 & E\ 63-68 & 8 & F\ 69-74 & 3 & G\ 75-80 &2 \ \end{array}[/tex]
Solving (a): The histogram
To do this, we simply plot each data on each class on the x-axis and the frequency on the y-axis.
(See attachment for histogram)
Solving (b): The type of distribution
The histogram appears to have a bell shape. This means that the distribution is approximately normal.
(xii) x^6 - 8 divide by x^2 - 2
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
A restaurant owner is interested in the proportion of his customers who order dessert. He looks at 65 randomly selected receipts. Match the vocabulary word with its corresponding example.
a. The proportion of all customers who order dessert.
b. All customers who come to the restaurant.
c. The 65 restaurant patrons whose receipts were observed by the owner.
d. The proportion of the 65 randomly selected customers who ordered dessert.
e. The 65 restaurant patrons whose receipts were observed by the owner
f. All customers who come to the restaurant
1. Statistic
2. Variable
3. Sample
4. Data
5. Population
6. Parameter
Options E and F are repeated but the correct thing should be;
e. The list of the 65 Yes or No answers for whether each customer ordered dessert.
f. The answer: Yes or No to whether a customer ordered dessert
Answer:
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
f. Variable
Step-by-step explanation:
a. The proportion of all customers who order dessert: This is the parameter because it is the proportion of the population.
b. All customers who come to the restaurant: This is the population because it is from here that the sample was taken.
c. The 65 restaurant patrons whose receipts were observed by the owner: This is the sample because it was taken from the population.
d. The proportion of the 65 randomly selected customers who ordered dessert: This is the statistic because it represents a proportion of the sample.
e. The list of the 65 Yes or No answers for whether each customer ordered dessert: This is the data because it gives us information about the answers given.
f. The answer: Yes or No to whether a customer ordered dessert: This is the variable because it varies with with each customer.
Choose the equation and the slope of the line that passes through (3,-2) and is parallel to the x-axis. CHECK ALL THAT APPLY
A. Equation: x= 3
B. Equation: x = -2
C. Slope: undefined
D. Equation: y= 3
E. Slope: 0
F Equation: y= -2
Answer:
E. Slope: 0
F. Equation: y = -2
Step-by-step explanation:
✔️The x-axis is a horizontal line. Horizontal line does not have any rise, therefore, slope (m) of horizontal line is zero.
The line that is parallel to the x-axis would have a slope of 0 as well.
Therefore, slope (m) = 0
✔️Since the line passes through (3, -2) let's find the y-intercept (b) to enable us write the equation of the line.
Substitute (x, y) = (3, -2) and m = 0 into y = mx + b
-2 = 0(3) + b
-2 = 0 + b
b = -2
✅To write the equation of the line that is parallel to the x-axis, substitute m = 0 and b = -2 into y = mx + b:
y = 0(x) + (-2)
y = 0 - 2
y = -2
Dave is helping his grandmother make trail mix. His grandmother ask
him to add 1/5 cup of fruit for every 1/3 cup of nuts. To satisfy his grandmother's request, Dave mix ?? cup of fruit for a single, cup of nuts.
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Answer:
3/5 cup of fruit
Step-by-step explanation:
Dave is making 3 times his grandmother's recipe, so for 3 × 1/3 cup of nuts, he needs 3 × 1/5 cup of fruit:
3/5 cup of fruit for 1 cup of nuts
A box is shaped like a square prism. The box is 10 centimetres high and it’s volume is 150 cubic centimetres.
Answer:
B I hope
Step-by-step explanation:
The length of the base of a square prism is 3.872 cm and the surface area of a square prism is 184.9 cm ²
Volume of a square prismLet h is the height length of the prism and a is the length of base edge.
then the volume is a²h and the surface area is 2a²+4ah
How to base length?(a) The volume of a square prism is 150 cm³ and 10 cm is height length
Let a is the length of base edge.
We know the volume is a²h.
Substitute the values
a²(10) = 150
a² = 15
a = √15
a = 3.872 cm
Since length of base is 3.872 cm.
How to find the surface area of a square prism?(b) The height length of the prism is 10 cm and the base edge length is √15 cm.
We know the surface area is 2a²+4ah
Substitute the values
S = 2(√15)² + 4 (3.87 )(10)
= 2(15) + 40(3.87)
= 30 + 154.91
= 184.9 cm ²
Since the surface area of a square prism is 184.9 cm ².
graph y > 1 - 3x whats the answer please
Answer:
see graph
Step-by-step explanation:
Which equation is equivalent to + + 0.03 + 1.01= -2.45 - 1.81K?
0-100k + 3 + 101k = -245 - 181k
-100k + 300 + 101k = -245-181k
k + 3 + 101k = -245 - 1816
* + 300 + 101k = -245 - 181k
Mark this and
Save and Exit
tycom ContentVies. AssessmentViewer Activit
Answer:
Step-by-step explanation:
For this case we have the following equation:
An equivalent way to write this equation is to multiply both sides of the equation by a scalar.
When multiplying both sides of the equation by 100 we have:
By doing distributive property we have:
Answer:
An equation that is equivalent is:
prove the two triangles are congruent?
Answer:
they are congruent by sss axiom
Step-by-step explanation:
de=fg (given)
df=ge(given)
ef=ef(being common side)
proved brainliest plzz
solve for x in parts below:
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
