Unit Rate
a)
If 3 tacos cost $18, the unit rate is $18 / 3 = $6.
This is the unit price of one taco, i.e., each taco cost $6.
With that information, we can calculate the cost of any given number of tacos.
For example,
4 tacos cost 4 * $6 = $24.
5 tacos cost 5 * $6 = $30
6 tacos cost 6 * $6 = $36
b) If you buy t tacos for c dollars, the unit rate is calculated as above, dividing c by t, that is:
unit rate (cost per taco) = c/t
The odds in favor of an event are given. Compute the probability of the event. (Enter the probability as a fraction.)
4 to 7
The probability of the event for the given odds in favor (4 to 7) is found as 4/11.
How do you calculate the probability?The inquiry provides the unusual parameters shown below: Odd = 4 to 7First, we must translate the odd into a ratio.Thus, we have the depiction shown below: odds of 4 to 7To continue solving, we must represent the ratio as a fraction.
Thus, we have the depiction shown below.
Odds ratio equals 4/7
We use the following equation to translate the aforementioned odd's expression into a probability expression.
This is displayed as
P = (Odds + 1)/(Odds).
Replace the unknown values in the equation above.
The following equation is what we have.
P = (4/7)/(4/7 + 1)
Analyze the amount
This results
P = (4/7)/(11/7)
Put the quotient in product form.
P = (4/7) * (7/11)
Evaluate
P = 4/11
Thus, the probability of event for the given odds in favor (4 to 7) is found as 4/11.
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Correct answer gets Brainliest!
Click on the graph below to create a pentagon with vertices at the following points.(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)
Answer: 5.6v
Step-by-step explanation:
Answer:
i dont have the picture so how?
Step-by-step explanation:
Explain two attributes that a rectangle and a square have in common.
Answer:
All angles and opposite angle are equal;opposite sides are parallel.
Step-by-step explanation:
Answer:
they both have 4 sides and they both have paralell sides.
Step-by-step explanation:
I need help! 25 brainly points!
The surface areas for each figures are:
220 ft² 410 cm²596 cm²360 cm²Surface area of cylinders include: 132π mm²22π ft²396π square inches.How to calculate surface areas?1. The surface area of the cuboid is:
Top and bottom: 2(10 ft x 4 ft) = 80 ft²
Front and back: 2(10 ft x 5 ft) = 100 ft²
Sides: 2(4 ft x 5 ft) = 40 ft²
Total surface area = 80 + 100 + 40 = 220 ft²
2. The surface area of the cuboid is:
Top and bottom: 2(18 cm x 5 cm) = 180 cm²
Front and back: 2(18 cm x 5 cm) = 180 cm²
Sides: 2(5 cm x 5 cm) = 50 cm²
Total surface area = 180 + 180 + 50 = 410 cm²
3. The surface area of the prism is:
Top and bottom: 2(5 cm x 14 cm) = 140 cm²
Front and back: 2(5 cm x 12 cm) = 120 cm²
Sides: 2(12 cm x 14 cm) = 336 cm²
Total surface area = 140 + 120 + 336 = 596 cm²
4. The surface area of the stacked cuboids is:
Top and bottom of first cuboid: 2(6 cm x 7 cm) = 84 cm²
Front and back of first cuboid: 2(6 cm x 2 cm) = 12 cm²
Sides of first cuboid: 2(7 cm x 2 cm) = 28 cm²
Front and back of second cuboid: 2(7 cm x 2 cm) = 28 cm²
Sides of second cuboid: 2(2 cm x 4 cm) = 8 cm²
Front and back of third cuboid: 2(2 cm x 10 cm) = 40 cm²
Sides of third cuboid: 2(10 cm x 8 cm) = 160 cm²
Total surface area = 84 + 12 + 28 + 28 + 8 + 40 + 160 = 360 cm²
5. The surface area of the cylinder is:
Top and bottom: 2π(6 mm)² = 72π mm²
Side: 2π(6 mm)(5 mm) = 60π mm²
Total surface area = 72π + 60π = 132π mm²
6. The surface area of the cylinder is:
Top and bottom: 2π(1 ft)² = 2π ft²
Side: 2π(1 ft)(10 ft) = 20π ft²
Total surface area = 2π + 20π = 22π ft²
7. The surface area of the cylinder stacked on a cube is:
Top and bottom of cylinder: 2π(5 m)² = 50π m²
Side of cylinder: 2π(5 m)(8 m) = 80π m²
Surface area of cube: 6(10 m x 13 m) = 780 m²
Total surface area = 50π + 80π + 780 = (130π + 780) m²
8. The surface area of the cylinder is:
Top and bottom: 2π(9 in)² = 162π in²
Side: 2π(9 in)(4 in) = 72π in²
Therefore, the total surface area of the cylinder is:
2(162π in²) + 72π in² = 396π in²
So the surface area of the cylinder is 396π square inches.
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Image transcribed:
Find the surface area of each figure.
10 ft
18 cm
5 cm
4 ft
5 ft
3.
4.
6 cm
7 cm
2 cm
5 cm
12 cm
14 cm
4 cm
10 cm
8 cm
Find the surface area of each cylinder. Leave your answer in terms of π.
5.
6 mm
6.
1 ft
5 mm
10 ft
7.
5 m
8.
4 in.
8 m
10 m
9 in.
13 m
11 m
247
Journal and Practice Workbook
Geometry
Someone Please help me with this with Step by Step explanation.
there you go i think thats it
Question 2 (1 point)
(07.01)
Solve 3x−5 = 9. (1 point)
a
x = −3
b
x = 2
c
x = 7
d
x = 8
Answer:
All options are wrong.................
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of the time, t, the rock is falling. If a rock falls 64 feet in 8 seconds,
The distance of a rock after three seconds will be 144 feet.
A function is an assertion, concept, or principle that establishes an association between two variables.
Let's use the formula for direct variation, which is:
d = kt²
64 = k(2²)
64 = 4k
k = 16
Now we can use this value of k to find the distance when t = 3:
d = 16 × (3²)
d = 16(9)
d = 144
Therefore, the rock will fall 144 feet in 3 seconds.
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The complete question is given below.
The distance, d, that a rock falls when dropped from a cliff varies directly as the square of time, t, the rock is falling. If a rock falls 64 feet in 2 seconds, how far will it fall in 3 seconds?
Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
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you sailed 0.032 units to the left and found treasure at 0.248 units find where the ship started
aluate expressions
(5 + 3) •8-22
Answer:
42
Step-by-step explanation:
(5+3) x 8 -22
8 x 8 -22
64 - 22
42
Answer:
42
Step-by-step explanation:
You Use PEMDAS
An anesthetic is given at the dosage of 15 mg per 10 lb body weight. It is packaged in vials at a concentration of 100 mg per mL.
How many mL should be given to a patient who weighs 58 kg?
0.1920 mL of the anesthetic should be given to the patient.
Calculation of Dosage
First, we need to convert the patient's weight from kilograms to pounds:
58 kg x 2.20462 lb/kg = 128.01 lbs
Next, we can calculate the total amount of anesthetic to be given to the patient:
15 mg/10 lbs x 128.01 lbs = 19.20 mg
Finally, we can divide the total amount of anesthetic by the concentration of the anesthetic in each mL:
19.20 mg / 100 mg/mL = 0.1920 mL
So, 0.1920 mL of the anesthetic should be given to the patient.
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What is 804082 written in expanded form
Answer:
Step-by-step explanation:
(8 x 100000) + (0 x 10000) + (4 x 1000) + (0 x 100) + (8 x 10) + (2 x 1) = 804082
PLS HELP WILL GIVE BRAINLIEST IF ANSWER IS RIGHT (NO LINKS)
Identify the surface area of the composite figure to the nearest tenth.
Answer:
D.
Step-by-step explanation:
6a² = surface area for cube
6(5)² = 150
2\(\pi\)(r)(h)+2\(\pi\)r² = surface area cylinder
2\(\pi\)(2)(3)+2\(\pi\)(4) = 20pi
150 + 20pi = 212.8318531
A. 12
B. 15
C. 17
D. 19
Answer:
D.) 19 would be your answer!!
Hope this helps! :)
Type a digit that makes this statement true. 366,5_4 is divisible by 8.
Answer:
required digit is 0.
if we want two answers then 0 &8
Step-by-step explanation:
it is divisible by 8 if last three digits are divisible by 8
504÷8=63
so 366,504 is divisible by 8.
366,504÷8=45813
next term is 584
584÷8=73
so 366,584 is divisible by 8.
A regular pentagon has side lengths of 10cm and an apothem 7cm in length. What is the area of the pentagon?
Answer:
The fraction can not be reduced, but it can be converted to decimal form.
Exact Form: 10/7
Step-by-step explanation:
a) Find the perimeter of a rectangle whose length is 10 10²/3 cm and breadth is 6 cm.
please need fast I will make brilliant
Answer:
40
Step-by-step explanation:
P=2(l+w)
2·(10+10)
=40
This stem and leaf diagram shows the number of students who go to various after school clubs. What is the smallest number of students who go to one of these clubs?
1| 6 8 9
2| 1
3| 5 9
4| 0 2 4 5
(Key: 2| 1 represents 21 students)
The smallest number of students who go to one of these clubs is 21.
A stem-and-leaf diagram is a quantitative assessment of a collection of data in which the data values are divided into a "stem" (the first digit of the number) and a "leaf" (the remainder of the number) (the last digit of the number).
Based on the given stem and leaf diagram, the smallest number of students who go to one of these clubs is represented by the leaf value "1" in the stem "2."
Therefore, the smallest number of students who go to one of these clubs is 21.
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Test Scores Find the percentile rank for each test score in the data set. Round to the nearest whole percentile.
10, 15, 19, 23, 30
Part 1 of 6
The percentile rank for the value 10 is
The percentile rank for 10 will be 10th.
What is percentile rank?The percentile rank of a particular score in statistics refers to the percentage of scores in the frequency distribution that are smaller than that score.
Percentile rank = [(Number of values below x) + 0.5]/ total number of values * 100
For 10,
Percentile rank = {[0 + 0.5]/5} x 100 = 10th
For 15,
Percentile rank = ([1 + 0.5]/5) x 100 = 30st
For 19,
Percentile rank = [2 + 0.5]/5 x 100 = 50th
For 23,
Percentile rank = [3 + 0.5]/5 x 100 = 70th
For 30,
Percentile rank = [4 + 0.5]/ 5 x 100 = 90th
The percentile rank for 10 will be 10th.
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QUICK WHATS THE ANSWER!!!!
Answer:
It’s triangular prism
Step-by-step explanation:
Mrs. Smith made 6 ¼ dozen cookies for the birthday party. At the end of the party, there were 3 ½ dozen cookies left. How many cookies did the guests eat?
The guests in the birthday party ate 33 cookies.
How many cookies did the guests eat?We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.
Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.
6 1/4 dozen = 25/4 dozen
3 1/2 dozen = 14/4 dozen
Now we can subtract the number of cookies that were left from the number of cookies that were made:
25/4 - 14/4 = 11/4 dozen
To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.
There are 12 cookies in one dozen, so:
11/4 x 12 = 33
Therefore, the guests ate 33 cookies.
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4 divided by 5/9 wrote in simplest form need it by 12/2/22 -12/4/22
Answer:
Step-by-step explanation:
First write the reciprocal of 5/9 which it is 9/5 then multiply by 5 which it equal to 36/5
Please help me find x. I really don't get it.
Answer:
x = 11
Step-by-step explanation:
The relationship between the sine and cosine functions can be written as ...
sin(x) = cos(90 -x)
sin(A) = cos(90 -A) = cos(B) . . . . substituting the given values
Equating arguments of the cosine function, we have ...
90 -(3x+4) = 8x -35
86 -3x = 8x -35
86 +35 = 8x +3x . . . . . add 3x+35 to both sides
121 = 11x . . . . . . . . . . . . collect terms
121/11 = x = 11 . . . . . . . . divide by 11
_____
Comment on the solution
There are other applicable relationships between sine and cosine as well. The result is that there are many solutions to this equation. One set is ...
11 +(32 8/11)k . . . for any integer k
Another set is ...
61.8 +72k . . . . . for any integer k
Which is the graph of f(x)=(2/3)x
Answer:
Here is the desmos graph
Step-by-step explanation:
How many coupons can be generated
The number of coupon codes that can be generated is given as follows:
247,808 coupon codes.
What is the Fundamental Counting Theorem?The Fundamental Counting Theorem states that if there are m ways to do one thing and n ways to do another, then there are m x n ways to do both.
This can be extended to more than two events, where the number of ways to do all the events is the product of the number of ways to do each individual event, according to the equation presented as follows:
\(N = n_1 \times n_2 \times \cdots \times n_n\)
The codes are composed as follows:
Two letters -> each with 22 options, as letters can be repeated.Three digits -> each with 8 options, as digits can also be repeated.Thus the total number of codes is obtained as follows:
N = 22² x 8³
N = 247,808 coupon codes.
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The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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There are 15 male teachers in the school. There are 35 female teachers in the school. Fill in the table
to show the relationship between the female and male teachers.
√24 + √27 in the form of k√3
\(\sqrt{24}+\sqrt{27} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^2\cdot 2\cdot 3\\ 27=3\cdot 3\cdot 3\\ \qquad 3^2\cdot 3 \end{cases}\implies \sqrt{2^2\cdot 2\cdot 3}+\sqrt{3^2\cdot 3} \\\\\\ 2\sqrt{2\cdot 3}+3\sqrt{3}\implies 2\sqrt{2}\cdot \sqrt{3}+3\sqrt{3}\implies \stackrel{\textit{common factoring}}{\underset{ \textit{\LARGE k} }{(2\sqrt{2}+3)} ~~ \sqrt{3}}\)
change this to an improper fraction 3 1/8
Answer: 25/8
Step-by-step explanation:
\(\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)
Change 3+1/8 to an improper fraction.
\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)
First, multiply the whole part (3) times the denominator (8):-
\(\bold{3\times8=24}\)
Now add the numerator:-
\(\bold{25}\)
That's the numerator of the improper fraction, and the denominator stays the same.
\(\bigstar\) Therefore, the fraction is
\(\bold{\dfrac{25}{24}}\)
Good luck.\(\rule{300}{1}\)
6TH GRADE MATH SOMEONE PLEASE GIVE ANSWER TYSM
The surface area of the vase is 168.4 square inches.
What is a cylinder?
A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.
The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.
The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:
B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.
The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:
P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.
Now we can use the formula SA = B + Ph to find the surface area of the vase:
SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.
Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.
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