Rana sells 192 cakes in the ratio small: medium: large = 7 : 6 : 11.
The profit for one medium cake is twice the profit for one small cake.
The profit for one large cake is three times the profit for one small cake.
Her total profit is £532.48
Work out the profit for one small cake
Answer:
S = £1.28
Step-by-step explanation:
Let the small, medium and large cakes be S, M and L respectively.
Given the following data;
Total profits = £532.48
Total number of cake = 192 cakes
Ratio of S:M:L = 7:6:11
Sum of ratio = 7+6+11 = 24
To find number of each cakes, we would divide the total number of cakes by the sum of ratio;
Number of each cakes = 192/24
Number of each cakes = 8
Next, we determine the exact number of each type of cakes.
Small = 7*8 = 56 cakes.
Medium = 6*8 = 48 cakes.
Large = 11*8 = 88 cakes.
For the profits;
Translating the word problem into an algebraic expression, we have;
M = 2S
L = 3S
56S + 48*(2S) + 88*(3S) = £532.48
56S + 96S + 264S = 532.48
416S = 532.48
S = 532.48/416
S = £1.28
Therefore, the profit for one small cake is £1.28
I need help in this question. I am not understanding what it is telling me so HELP
Answer: You solve it its easy subtraction :)
Step-by-step explanation:
$14,000 - $5,358 - $2,834 - $4,132 = answer
For the polynomial below, 3 is a zero.
g(x)=x^3-7x^2+9x+9
Express g(x) as a product of linear factors
9514 1404 393
Answer:
g(x) = (x -3)(x -2+√7)(x -2 -√7)
Step-by-step explanation:
Synthetic division can tell us the quadratic factor that remains when the factor (x-3) is divided out.
g(x) = (x -3)(x^2 -4x -3)
The quadratic is not factorable over integers. Its vertex form is ...
(x -2)^2 -7
so its roots are x = 2±√7.
That means the linear factorization of g(x) is ...
g(x) = (x -3)(x -2-√7)(x -2+√7)
_____
I find it easy to learn the vertex form of the quadratic factor by using a graphing calculator to show the graph of the quadratic.
you guy have any song requests?
Answer:
Never want to give you up
Step-by-step explanation:
Brainliest? pls
Famous Dex - Pick It Up (Lyrics) feat. A$AP Rocky
My ordinary life
SoFaygo - Knock Knock
Streets
D !ck
a study of the effects of exercis used rats bred to have high or low capacity for exercise. The 8 high capacity rats had mean blood pressure 89 mm Hg and variance 81; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169. What is the value of the two-sample t statistic for comapring the two population means
Answer:
[tex]t=-2.86[/tex]
Step-by-step explanation:
From the question we are told that:
Sample 1 [tex]n_1=8[/tex]
Sample 1 mean blood pressure [tex]\=x_1=89mmHg[/tex]
Sample 1 variance [tex]\sigma_1=81[/tex]
Sample 2 [tex]n_2=8[/tex]
Sample 2 mean blood pressure [tex]\=x_2=105mmHg[/tex]
Sample 2 variance [tex]\sigma_2=169[/tex]
Generally the equation for the test of statistic is mathematically given by
[tex]t=\frac{\=x_1-\=x_2}{\sqrt{\frac{\sigma_2}{n_1}+\frac{\sigma_2}{n_2} } }[/tex]
[tex]t=\frac{89-105}{\sqrt{\frac{81}{8}+\frac{169}{8} } }[/tex]
[tex]t=-2.86[/tex]
therefore the samples test for comparing the two population means
[tex]t=-2.86[/tex]
Type the correct answer in each box.
50°
60°
709
х
50°
The value of xis
°, and the value of y is
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✔️x + 50° + 70° = 180° (sum of a triangle)
x + 120° = 180°
Subtract 120° from each side
x = 180° - 120°
x = 60°
✔️50° + 60° = x + y (exterior angle theorem of a triangle)
110° = x + y
Plug in the value of x
110° = 60° + y
Subtract 60° from each side
110° - 60° = y
50° = y
y = 50°
what is the answer. Evalute (2/3)2. Thank you
Answer:
4/3
Step-by-step explanation:
Answer:
hi
Step-by-step explanation:
[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]
have a nice day
Which of the fractions is equivalent to 2/3
Answer:
4/6
6/9
12/18
8/12
5/10
Step-by-step explanation:,,
Answer:
The answers are 4/6 and 6/9.
Step-by-step explanation:
"An education researcher recorded the number of books students read over the last year and the number of vocabulary words that students defined correctly on a test of 100 vocabulary words. The resulting data were used to conduct a hypothesis test to investigate whether there is a positive linear relationship between the number of books read and the number of vocabulary words defined correctly. What are the correct hypotheses for the test?"
Answer:
B
Step-by-step explanation:
The probability that Scott will win his next tennis match is 3/5
What is the probability that he will not win?
Answer:
the probability that he will not win is 2/5 cause it's just the chance that he doesn't win
A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96
Answer:
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
Step-by-step explanation:
Step(i):-
Given that mean of the sample = 16
Given that the standard deviation of the sample = 3.81
The standard deviation of the Population = 3.81
Level of significance = 0.05
Step(ii):-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]
([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]
( 16 - 3.3396 , 16 + 3.3396)
(12.6604 ,19.3396)
Final answer:-
95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.
(12.6604 ,19.3396)
Find the missing side of each triangle
I can’t remember the steps to doing this/the formula, an explanation would be great thanks!
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
2^2+6^2=x^2
4+36=x^2
40=x^2
[tex]\sqrt{40}=x[/tex]
[tex]2\sqrt{10}[/tex][tex]=x\\[/tex]
Hope that helps :)
Answer:
sqrt(40) or approx. 6.324555
Step-by-step explanation:
a^2 + b^2 = c^2 (Pythagorean Theorem)
6 is a, 2 is b, and x is c, or the hypotenuse.
Plug in the values
6^2 + 2^2 = x^2
Simplify
36 + 4 = x^2
40 = x^2
Square root both sides
sqrt(40) = x
A restaurant noted what type of food its customers purchased last week.Here are the results
Answer:
There is no link to the results/question.
Los ángulos de elevación hacia un
avión se miden desde la parte superior y la base de
un edificio que tiene 20 m de altura. El ángulo desde
la azotea es de 38°, y desde la base es de 40°.
Calcule la altitud del avión
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
¿Cómo hallar la altitud del avión con respecto al suelo?
A partir del enunciado se construye un sistema geométrico formado por el triángulo obtusángulo. Con base en la información disponible, se determina las longitudes faltantes del triángulo:
[tex]\frac{20\,m}{\sin 2^{\circ}} = \frac{r_{1}}{\sin 128^{\circ}} = \frac{r_{2}}{\sin 50^{\circ}}[/tex] (1)
Los lados faltantes son r₁ ≈ 451.589 m and r₂ ≈ 439 m. Finalmente, la altitud del avión se obtiene mediante la siguiente relación trigonométrica:
h = r₁ · sin 40° (2)
h = (451.589 m) · sin 40°
h ≈ 290.276 m
A partir del diagrama geométrico y las relaciones trigonométricas, la altitud del avión con respecto al suelo es aproximadamente 290.276 metros.
Para aprender más sobre relaciones trigonométricas: https://brainly.com/question/22962732
#SPJ1
Find mZECD
E
D
C С
31°
A
B
PLEASE HELP I WILL GIVE BRAINLIEST
Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
The answer to this question
2. Select all expressions that can be subtracted from 9x to result in the expression
3x + 5.
A. -5 + 6x
B) 5 – 6x
С.) 6х +5
D. 6x - 5
E. -6x + 5.
Answer:
D. 6x-5
Step-by-step explanation:
I am not actually 100% but subtracting 6x from 9x will give you 3x and subtracting -5 will give you +5... SOOO. cross your fingers. lol
ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !
Answer:
864 inches cubed
Step-by-step explanation:
Since the volume is the 3 units multiplied together, 16 x 9 x 6 is 864.
Helppppp pleaseeee xxxxx
Answer:
a. 28π m²
b. 44π m²
Step-by-step explanation:
a. Lateral surface of the cone = πrl
Where,
r = 4 m
l = 7 m
Lateral surface area = π*4*7 = 28π m²
b. Surface area of cone = πr(l + r)
r = 4 m
l = 7 m
Surface area = π*4(7 + 4)
= 4π(11)
= 44π m²
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
.
Complete the sentence about the height of the prism.
The height of the prism is _____ inches,square inches,cubic inches
Answer:
I believe the answer would be 1575 cubic inches. Sorry if i'm wrong!
Answer:
The answer is 7 square in
Step-by-step explanation:
Do this formula
V=Bh
105=15h
h=7 square in
Amir has 5 cups of water. He uses it to water 12 plants. Each plant gets
the same amount of water. How much water does each plant get?
Answer:
5/12 cup of water per plant
Where does the graph of cosine begin?
Answer:
Step-by-step explanation:
Cosine starts at 1 and then goes down till 180 degrees and then goes up again..
Hope this helps..
Proving triangles similar
Answer: AA
Step-by-step explanation:
You can do vertical angles or alternate interior angles. Hope this helps :)
Tyson has two movie tickets and wants to randomly select one of six friends to go with him. He rolls a six-sided die to make his decision. He tested this model 60 times and recorded the results in this table.
Result of Roll Times Result Occurred
1 - 11
1 - 0.18
2 - 9
2 - 0.15
3 - 9
3 - 0.15
4 - 10
4 - 0.17
5 - 11
5 - 0.18
6 - 10
6 - 0.17
Do you think the relative frequency from the experiment is a good predictor of the theoretical probability? Why or why not?
Answer:
The relative frequency of rolling a particular number can be calculated using the formula
relative frequency , where f is the actual frequency of an event and n is the number of times the experiment is performed. This experiment had the following results:
The relative frequency of rolling a 1 is 0.2.
The relative frequency of rolling a 2 is about 0.23.
The relative frequency of rolling a 3 is about 0.13.
The relative frequency of rolling a 4 is 0.15.
The relative frequency of rolling a 5 is 0.15.
The relative frequency of rolling a 6 is about 0.13.
The relative frequencies of rolling 1, 2, 3, 4, 5, and 6 are quite similar. So, the relative frequency is a good predictor of the theoretical probability.
Step-by-step explanation:
this is exact answer from edmentum so change it up a bit
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
how to graph an inequality y<1-2x
Answer:
Step-by-step explanation:
An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue
Answer:
0.1739 = 17.39% probability that the cab actually was blue
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Witness asserts the cab is blue.
Event B: The cab is blue.
Probability of a witness assessing that a cab is blue.
20% of 95%(yellow cab, witness assesses it is blue).
80% of 5%(blue cab, witness assesses it is blue). So
[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]
Probability of being blue and the witness assessing that it is blue.
80% of 5%. So
[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]
What is the probability that the cab actually was blue?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]
0.1739 = 17.39% probability that the cab actually was blue
Solve for x....................................
Answer:
x = 4.5 is the answer to the question
A car company is testing how well its cars handle skidding to a complete stop after hitting the brakes while going at different speeds on an asphalt road. The equation represents the car’s speed, in miles/hour, when the brakes are applied as a function of the distance, in feet, the car skids. The table of values represents the function S(D). Use the table of values to calculate the average rate of change between the given intervals. Then interpret what the average rate of change means in this context.
Answer:
D SD= sqrt(22.5D) Average Rate of Change
47 32.52
50 33.5 0.34
56 35.50 0.33
60 36.74 0.31
62 37.35 0.305
65 38.24 0.3
In the context of this problem, the average rate of change is the rate at which the car decelerates as it skids. As the distance that the car skids increases, the rate at which the car decelerates decreases at a gradual rate.
Step-by-step explanation: