Q2
Let the common multiple be x
3x+5x=180
8x=180
x=180/8
x=22.5
ANSWER
My answer is in the photo above
Calculate the area and circumference of a circle with diameter 8cm
Tell me if the photo below is the answer for this question
Answer: approximately 25.13 centimeters.
Step-by-step explanation: If the diameter of a circle is 8cm, then the radius is half of that, which is 4cm. We can use this information to calculate the area and circumference of the circle as follows:
Area of circle = π * r^2
= π * 4^2
= π * 16
= 16π
≈ 50.27 cm^2 (rounded to two decimal places)
Circumference of circle = 2π * r
= 2π * 4
= 8π
≈ 25.13 cm (rounded to two decimal places)
Therefore, the area of the circle is approximately 50.27 square centimeters and the circumference is approximately 25.13 centimeters.
no picture is not right
Elizabhet debe preparar carapulcra para 32 personas si se basa en la receta que se muestra que cantidad necesitara de cada ingrediente carapulcra 8 porciones un medio de papa seca un medio kg de carne de chancho 1 cebolla grande 3 cucharadas de aji panca un entero un medio cucharadas de ajos molidos 1 cucharada de sal
Step-by-step explanation:
Para hacer las porciones para 32 personas, multiplique cada cantidad de ingrediente por 4 ya que la receta proporciona 8 porciones y 8 * 4 = 32
Papa seca = \(\frac{1}{2} *4\)
= 2 papas secas
Cerdo = \(\frac{1}{2} *4\)
= 2 kg de carne de cerdo
Cebollas = 1 * 4
= 4 cebollas grandes
Aji panca = 3 * 4
= 12 cucharadas de aji panca
Ajo molido = \(1\frac{1}{2} *4\)
= \(\frac{3}{2} *4\)
= 6 cucharadas de ajo molido
Sal = 1 * 4
= 4 cucharadas de sal
if m, p, and t are distinct positive prime numbers, then m3pt has how many different positive divisors greater than 1 ?
There are 15 different positive divisors (greater than 1) for the number m³pt. Here m, p, and t are distinct prime numbers. This is obtained by the prime factorization method.
How to find the number of positive factors for a number?The following are the steps to find the number of positive factors of a number:
Step 1: Find the L.C.M of the number by using the prime factorization method. For example: consider the number 24. Then, its prime factorization is as follows:
24 = 2 × 2 × 2 × 3
Step 2: Same bases should be added in powers. So, the factors we can write as
24 = 2³ × 3¹
Step 3: To find the number of positive factors of the number, the exponents of the prime factors is multiplied by adding 1.
I,e., N = (3 + 1)(1 + 1) = 4 × 2 = 8.
So, there are 8 factors for the number 32. They are 1, 2, 3, 4, 6, 8, 12, and 24.
Calculation:It is given that, m, p, and t are distinct positive prime numbers.
Then, the number of positive divisors greater than 1 for the number m³pt are
m³× p × t
Since m, p, and t are prime factors, we can multiply their power by adding 1 to them. I.e.,
N = (3 + 1) (1 + 1) (1 + 1) = 4 × 2 × 2 = 16
So, there are a total of 16 factors for the given number (including 1). So, the number of factors greater than 1 is 16 - 1 = 15.
Therefore, there are 15 different positive divisors greater than 1 for the number having prime factors as m³pt.
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Indigo needs to order some new supplies for the restaurant where she works. The restaurant needs at least 430 knives. There are currently 269 knives. If each set on sale contains 18 knives, what is the minimum number of sets of knives Indigo should buy?
The minimum number of sets of knives Indigo should buy is 9.
What is Inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Here, Let the minimum number of sets be x.
restaurant needs at least 430 knives
currently restaurant have 269 knives
each set contains 18 knives.
According to question,
18x + 269 ≥ 430
18x ≥ 161
x ≥ 161/18
x ≥ 8.94
Thus, the minimum number of sets of knives Indigo should buy is 9.
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A company donates money to a charity every time the baseball team hits a home run. They donate $100 for every home run. Write an equation for the situation,
where y is the total amount of money donated and x is the number of home runs hit.
The equation is y=
Answer:
y = 100x
Step-by-step explanation:
Answer:
y=100x
Step-by-step explanation:
jokes are listed in a magazine, where one is written by a female author. If the order in which these jokes are told makes a difference in terms of how they are received, how many ways can they be delivered if a joke by a man is told first?
Answer: Let's assume that there are "m" jokes written by male authors and "f" jokes written by female authors, such that m + f = total number of jokes in the magazine.
If a joke by a man is told first, there are (m - 1)! ways to arrange the remaining m - 1 jokes written by male authors and f! ways to arrange the jokes written by the female author. The total number of ways the jokes can be delivered is (m - 1)! * f!.
So, the answer is (m - 1)! * f! ways to deliver the jokes if a joke by a man is told first.
Step-by-step explanation:
Which equation represents the line that passes through the point (3, –1) and is perpendicular to the graph of x + 4y = 10?
Answer:
y=6x+7
Step-by-step explanation:
A student always catches his train if class ends on time. However, 30% of classes run late and then there's a 45% chance he'll miss it. What is the probability that he misses the train today?
The probability that he misses the train today is 0.135 or 13.5%.
P(Class runs late)=30%=0.30
P(Miss train ∣ Class runs late)=45%=0.45
General multiplication rule:
P(A and B)=P(A)×P(B ∣ A)
Using the general multiplication rule, we then obtain (and using that the student always catches his train if the class ends on time) :-
P( Miss train)=P( Miss train and Class runs late)=P(Class runs late)×P(Miss train ∣ Class runs late)
= 0.30×0.45
= 0.135
= or 13.5%.
So, the the probability that he misses the train today is 0.135 or 13.5%.
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Ed buys a box of eggs costing £1.90, two packs of bacon for £3.10 each and two tins of baked
beans.
He pays with a £10 note and gets 50p change.
How much does a tin of beans cost in pounds
Answer:
tin of beans = .70 pound
Step-by-step explanation:
10 = 1.90 + 2 * 3.10 + .50 + 2b
b = .70
find the sum of 8a+2b-4 and 3b-5. write. in expanded form and then standard form
Answer: 2^3
Step-by-step explanation:
GIVING BRAINLIEST PLEASE HELP! :D
Answer:
x+20=41
Step-by-step explanation:
You already have some number of seashells, x, and add 20. Then you have 41, so:
x + 20 = 41
Hope that helps! :)
Which of the following has 90 as the LCM?
A. 2,3,15 and 30
B. 2,5,15 and 30
C. 2,5,15 and 45
D. 3,5,15 and 45
Answer:
C. 2, 5, 15 and 45.
Step-by-step explanation:
Least common multiple (LCM)
The smallest multiple that two or more numbers have in common.
Find the prime factors of the given numbers:
2, 3 and 5 are prime numbers.Prime factorization of 15 = 3 × 5Prime factorization of 30 = 2 × 3 × 5Prime factorization of 45 = 3² × 5To find the LCM of each set of given numbers, find the product of only those factors with the highest powers.
A: LCM of 2, 3, 15 and 30
List the prime factors of each number:
2 = 23 = 315 = 3 × 530 = 2 × 3 × 5So the factors are 2, 3 and 5.
As the highest power of each factor is one, the LCM is 2 × 3 × 5 = 30.
B: LCM of 2, 5, 15 and 30
List the prime factors of each number:
2 = 25 = 515 = 3 × 530 = 2 × 3 × 5So the factors are 2, 3 and 5.
As the highest power of each factor is one, the LCM is 2 × 3 × 5 = 30.
C: LCM of 2, 5, 15 and 45
List the prime factors of each number:
2 = 25 = 515 = 3 × 545 = 3² × 5So the factors are 2, 3 and 5.
As the highest power of 2 and 5 is one, and the highest power of 3 is two, the LCM is 2 × 3² × 5 = 90.
D: LCM of 3, 5, 15 and 45
List the prime factors of each number:
3 = 35 = 515 = 3 × 545 = 3² × 5So the factors are 3 and 5.
As the highest power of 3 is two, and the highest power of 5 is one, the LCM is 3² × 5 = 45.
The curves f(x) = x² - 2x - 5 and g(x) = 4x + 11 intersect at the point (-2,3). Find the angle of intersection, in radians on the domain 0 < t < T. Round to two decimal places.
To find the angle of intersection between two curves, we can use the derivative of the curves and the formula for the angle between two lines. The angle of intersection can be found by calculating the arctangent of the difference of the slopes of the curves at the point of intersection.
at the point of intersection (-2, 3) and then calculate the angle.
The derivative of f(x) = x² - 2x - 5 is f'(x) = 2x - 2.
The derivative of g(x) = 4x + 11 is g'(x) = 4.
At the point (-2, 3), the slopes of the curves are:
f'(-2) = 2(-2) - 2 = -6
g'(-2) = 4
The difference in slopes is g'(-2) - f'(-2) = 4 - (-6) = 10.
Now, we can calculate the angle of intersection using the arctangent:
Angle = arctan(10)
Using a calculator, the value of arctan(10) is approximately 1.47 radians.
Therefore, the angle of intersection between the curves f(x) = x² - 2x - 5 and g(x) = 4x + 11 on the given domain is approximately 1.47 radians.
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12) If tan A=5/12 . find the value of (sin A + COS A) sec A.
Answer:
(sin(A) + cos(A)).sec(A) = 17/12
Step-by-step explanation:
tan(A) = 5/12
sin(A) = 5/13
cos(A) = 12/13
sec(A) = 1/(cos(A)) = 13/12
(sin(A) + cos(A)).sec(A) = (5/13 + 12/13).13/12
= 17/13.13/12
= 17/12
What's the area of the following figure? Hint: Remember A = b x h
The area of the figure is 13 cm².
We have,
From the figure,
We can make two rectangles.
Now,
Length = 5 cm
Width = 1 cm
Area of one rectangle.
= 5 x 1
= 5 cm²
Length = 4 cm
Width = 2 cm
Area of another rectangle.
= 4 x 2
= 8 cm²
Now,
Area of the figure,
= 5 + 8
= 13 cm²
Thus,
The area of the figure is 13 cm².
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(car sales) of the cars sold during the month of july, 87 had air conditioning, 99 had automatic transmission, and 73 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 24 cars had only air conditioning, 64 cars had only automatic transmissions, and 35 cars had only power steering. 9 cars had both automatic transmission and power steering. how many cars had exactly two of the given options?
Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options. 8 cars had exactly two of the given options during the month of July.
To determine the number of cars that had exactly two of the given options (air conditioning, automatic transmission, and power steering), we can follow these steps:
1. Find the total number of cars sold in July.
2. Subtract the number of cars with none, one, or all three options to get the number of cars with exactly two options.
Step 1: Find the total number of cars sold in July
- 24 cars had none of the extras
- 24 cars had only air conditioning
- 64 cars had only automatic transmission
- 35 cars had only power steering
- 8 cars had all three extras
Total cars = 24 + 24 + 64 + 35 + 8 = 155 cars
Step 2: Subtract the number of cars with one or all three options
- 87 cars had air conditioning
- 99 cars had an automatic transmission
- 73 cars had power steering
- 8 cars had all three extras
Total cars with at least one option = 87 + 99 + 73 - 8 = 251 cars
Now, subtract the number of cars with none or one option from the total number of cars to find the number of cars with exactly two options:
Cars with exactly two options = Total cars - Cars with none or one option - Cars with all three options
Cars with exactly two options = 155 - (24 + 24 + 64 + 35) - 8 = 155 - 147 = 8 cars
Therefore, 8 cars had exactly two of the given options during the month of July.
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Here is Ibrahim's recipe for breakfast.
200 ml of milk
50g of oats
30g of barley
40 g of raisins
If he uses 300 ml of milk, how many grams of barley does he need?
The ratio of barley and milk will remain constant. Then the amount of the barley will be 45 grams.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Here is Ibrahim's recipe for breakfast.
200 ml of milk
50g of oats
30g of barley
40 g of raisins
If he uses 300 ml of milk, then the amount of the barley will be
Let x be the amount of the barley.
\(\rm \dfrac{x}{300} = \dfrac{30}{200}\\\\x \ \ \ = \dfrac{30 \times 300}{200}\\\\x \ \ \ = 45\)
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The U.S. Senate consists of 100 senators, with 2 from each of the 50 states. There are 50 Democrats in the Senate. A committee of size 10 is formed, by picking a random set of senators such that all sets of size 10 are equally likely. a) Find the expected number of Democrats on the committee. b) Find the expected number of states represented on the committee (by at least one senator) c) Find the expected number of states such that both of the state's senators are on the committee.
Note that based on probabilities,
The expected number of Democrats on the committee is 5.
The expected number of states represented on the committee is 26.
The expected number of states such that both of the state's senators are on the committee is 9.09.
How is this so ?a) The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.
So, the expected number of Democrats on a committee of size 10 is
1/2 * 10 = 5.
b) The minimum number of states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.
The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/ 2 = 26.
c) There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.
The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99
= 1/11.
The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.
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What is 9 less than the product of 6 and a number x?
Answer:
6x - 9
Step-by-step explanation:
the product of 6 and a number x: 6x
9 less than the product...: - 9
6x - 9
PLSSS HELPPPPP
On the following number line, point C represents the integer -1. Identify the integer that each of the other letters represent.
A:
B:
D:
E:
Answer: B is 0 A is 1 D 2 E 3
Step-by-step explanation:
Answer:
a: 1
b: 0
d:2
e:3
Step-by-step explanation:
Since you already know that C is -1, you can add or subtract along the numberline by ones to get the values of each letter
plug x= 2 into
2x^4 - 3x^2 +5
Answer:
For example, try entering the equation 3x+2=14 into the text box. ... Here are some examples: y=2x^2+1, y=3x-1, x=5, x=y^2. To graph ... enter the expression you want to evaluate, want to
Step-by-step explanation:
an internet search had 220,000 results. How does the value of the 2 in the leftmost position compare to the value of the other 2 in the number of results?
Answer:
It is 10 x greater
Step-by-step explanation:
The leftmost 2 is 200,000 and the other 2 is 20,000.
20,000 (other 2) x 10 = 200,000 (leftmost 2)
Answer:
Step-by-step explanation:
im dimb so 26876ths place
plz help quick will give brainly
What is the difference between the opposite of 12 and the absolute value of 12? Use a number line to explain.
Answer:
Opposite 12= -12
Absolute value of 12: Just -12.
Step-by-step explanation:
I don't know.
What is the slope m and y-intercept b of the equation y = 1/3x - 5?
Answer:
slope = 1/3 , y-int = -5
Step-by-step explanation:
y = mx + b
hope this helps!
TRUE/FALSE.We can use the normal distribution to approximate the sampling distribution of the average (x ¯) for a small sample (n<30) even if our sample has clear outliers.
The given statement, "We can use the normal distribution to approximate the sampling distribution of the average (\(\bar X\)) for a small sample (n<30) even if our sample has clear outliers." is false.
What is sample distribution?Several random samples of a predetermined size are taken from the same population to generate a sampling distribution, which is a sort of probability distribution. You can better understand how a sample statistic fluctuates from sample to sample by using these distributions.
The given statement is false because when the sample size is small (n < 30) and the data have clear outliers, the normal distribution may not be a suitable approximation for the sampling distribution of the average (\(\bar X\)). In such cases, the presence of outliers can significantly affect the distribution, causing it to deviate from a normal distribution.
For small samples with outliers, it is generally recommended to use alternative methods or non-parametric tests that do not assume a specific distribution. These methods take into account the non-normal nature of the data and provide more robust and reliable results.
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What is the probability that 5 hearts are chosen, if 7 cards are chosen from a well-shuffled deck of 52 playing cards?
a) 0.00000049
b) 0.00000026
c) 0.00712838
d) 0.00000962
e) 0.00000016
f) None of the above.
The probability that 5 hearts are chosen when 7 cards are drawn from a well-shuffled deck of 52 playing cards is option (d) 0.00000962.
Step 1: Determine the total number of ways to choose 7 cards from a deck of 52 playing cards, which can be calculated using the combination formula: C(52, 7) = 52! / (7! * (52 - 7)!), where "!" denotes the factorial.
Step 2: Determine the number of ways to choose 5 hearts from the deck. There are 13 hearts in a standard deck, so we can calculate the number of ways to choose 5 hearts from 13: C(13, 5) = 13! / (5! * (13 - 5)!).
Step 3: Calculate the probability by dividing the number of favorable outcomes (choosing 5 hearts) by the total number of possible outcomes (choosing 7 cards from the deck): P(5 hearts) = C(13, 5) / C(52, 7).
Step 4: Evaluate the probability numerically using a calculator or math software, and the result is approximately 0.00000962.
Therefore, the correct answer is option (d) 0.00000962.
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express each of the following repeating decimals as a quotient of integers 0.57 bar on 57
Answer:
\(\frac{19}{33}\)
Step-by-step explanation:
the bar on 57 means that the digits 57 are repeated.
we require 2 equations with the repeating digits placed after the decimal point.
let x = 0.5757... (1) ← multiply both sides by 100
100x = 57.5757... (2)
subtract (1) from (2) thus eliminating the repeating digits
99x = 57 ( divide both sides by 99 )
x = \(\frac{57}{99}\) = \(\frac{19}{33\\}\)
Find the measure.........
Answer:
I believe that the proper answer you would be looking for is...
Step-by-step explanation:
the measure of angle 2 would make this a prime factor of the factor tree and than you would use the 3 which is also a prime factor to make sure that 132 is prime if it is not prime you can not find the measure of angle 2.
but actually its congurent to 132 so its 132
help me answer it pelase
Answer:
No
Step-by-step explanation:
9=5(-5)-4
9=-10-4
9=-14
Write a linear equation given the two points: (-3, -9) and (4, -2)