(2.1 x 104) + (3.5 x 106)

Answer:

x=9

Step-by-step explanation:

3x-7=7+13

3x-7=20

3x=27

27/3

x=9

Answer:

X=9

Step-by-step explanation:

3x-7=7+20

3–7=20

3x=20+7

3x=27

x=9

Answer:

$6.25n+$3.50

Step-by-step explanation:

 Solve;

Assume the cost is y

then y = 6.25n + 3.50 ($)

{6.25n is the cost of n lunches and 3.50 is the delivery fee}

[RevyBreeze]

Answer:

Step-by-step explanation:

The importance and advantage of using graph representation when organizing your data are that it makes data presentable, summarizing, better way of comparison of data.

An organized diagram or pictorial representation of the relationship between values or data is referred to as a graph. it is a a diagram that depicts a variable's variation in comparison to that of one or more other variables, such as a series of points, lines, line segments, curves, or areas.

The following are the three advantages of graphs:

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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The probability of event A or event B occurring, denoted as P(A or B), can be calculated by adding the probabilities of each event and subtracting the probability of both events happening simultaneously.

To calculate P(A or B), we first need to determine the individual probabilities of event A (the six-sided die landing on three) and event B (Abdul rolling doubles). Let's denote the probability of A as P(A) and the probability of B as P(B).

Assuming the die is fair, it has six equally likely outcomes (numbers 1 to 6). The probability of event A, P(A), is the chance of rolling a three, which is 1 out of 6 since there is only one favorable outcome.For event B, rolling doubles, there are six possible outcomes: (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6). Therefore, the probability of rolling doubles, P(B), is 6 out of 36, or 1 out of 6.

To calculate P(A or B), we need to consider the possibility of both events happening simultaneously. Since event A and event B are independent, we can multiply their probabilities: P(A and B) = P(A) * P(B) = (1/6) * (1/6) = 1/36.Finally, to find P(A or B), we add the probabilities of A and B and subtract the probability of A and B occurring together: P(A or B) = P(A) + P(B) - P(A and B) = 1/6 + 1/6 - 1/36 = 11/36.

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Word problem are exercises in mathematics presented in common language rather than mathematical symbols

The coins in the bank are 8 pennies, 12 nickels, 15 dimes, and 6 quarters

The given parameters are;

Number of coins in Asa's piggy bank = 41 coins

Total amount of the coins (in the piggy bank) = $3.68

Number of quarters = Half the number of nickels

Number of dimes = 3 + Number of nickels

The rest of the coins in the bank = Pennies

Required:

The number of pennies, nickels, dimes, and quarters in the bank

Solution:

Let q represent the number of quarters, let n represent the number of nickels, let d represent the number dimes, and let p, represent the number of pennies, we have;

q = 0.5·n...(1)

d = 3 + n...(2)

q + n + d + p = 41...(3)

n = $0.5, p = $0.01, q = $0.25, d = $0.1

0.25·q + 0.05·n + 0.1·d + 0.01·p = 3.68...(4)

Therefore, there are four equations with four unknowns

Plugging in the values of q, and d from equation (1) and (2) in equation (3) gives;

0.5·n + n + (3 + n) + p = 41

2.5·n + p + 3 = 41

p = 38 - 2.5·n...(5)

Plugging in the values of q, d, and p in n in equation (4), gives;

0.25·(0.5·n) + 0.05·n + 0.1·(3 + n) + 0.01·(38 - 2.5·n) = 3.68

0.25·n = 3.68 - 0.68

\(n = \dfrac{3.00}{0.25} = 12\)

The number of nickel, n = 12 nickels

Number of quarters, q = 0.5·n = 0.5 × 12 = 6

The number of quarters, q = 6 quarters

Number of dimes, d = 3 + n = 3 + 12 = 15

The number of dimes, d = 15 dimes

q + n + d + p = 41

p = 41 - (q + n + d)

∴ p= 41 - (6 + 12 + 15) = 8

The number of pennies, p = 8 pennies

Therefore, there are 8 pennies, 12 nickels, 15 dimes, and 6 quarters in his piggy bank

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Zoe previously paid a car insurance premium of $3,530 per year. Now, she pays 20% less than the original amount. The task is to calculate how much Zoe pays for her car insurance premium after the discount.

To calculate the new premium amount, we need to subtract 20% of the original premium from the original premium. First, we calculate 20% of $3,530:

20% of $3,530 = 0.20 * $3,530 = $706

Next, we subtract this amount from the original premium:

$3,530 - $706 = $2,824

Therefore, Zoe now pays $2,824 for her car insurance premium after receiving a 20% discount.

By subtracting 20% of the original premium from the original premium, we effectively reduce the amount by 20%, resulting in the new premium.

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Answer: (-2)(4)

Step-by-step explanation:

The model could be explained as follows ;

Step 1 : 0 - - - - > - 2 = - 2 units

Step 2 : -2 - - - - > -4 = - 2 units

Step 3: - 4 - - - - > -6 = - 2 units

Step 4: - 6 - - - - > -8 = - 2 units

-2 units for reach of the 4 steps

Therefore, model is expressed as :

(-2) × 4

(-2)(4)

Kindly view detailed sketch and explanation in the picture attached.

Answer: (-2)(4)

Step-by-step explanation:

The model could be explained as follows ;

Step 1 : 0 - - - - > - 2 = - 2 units

Step 2 : -2 - - - - > -4 = - 2 units

Step 3: - 4 - - - - > -6 = - 2 units

Step 4: - 6 - - - - > -8 = - 2 units

-2 units for reach of the 4 steps

Therefore, model is expressed as :

(-2) × 4

(-2)(4)

Answer:

727.65

Step-by-step explanation: The markup is 5%of the selling price, so multiply the selling price by 0.05 for 5%, you get 34.65. Add that to the selling price, and you get 727.65 as your total.

If the markup is 5% of the dealer's cost. Then the dealer's cost of the refrigerator will be $727.65.

The quantity of anything is stated as though it were a fraction of a hundred.

The selling price of a refrigerator is $693.00.

If the markup is 5% of the dealer's cost.

Then the dealer's cost of the refrigerator will be

⇒ $693.00 × (1 + 0.05)

⇒ $693.00 × 1.05

⇒ $727.65

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To prove the statement using mathematical induction, we start by assuming that the equation P(n) is true for every integer n > 1, where P(n) is defined as:

1 - 1.2 + 2.3 - 3.4 + ... + (-1)^(n-1) * (n-1).n + 1 / n(n + 1)

We need to prove that P(1/2) = -1/2 is also true.

First, we show that P(1) is true by substituting n = 1 into the equation:

P(1) = 1 / (1*(1+1)) = 1/2

This matches the left-hand side of the equation, so P(1) is true.

Next, we assume that P(k) is true for some integer k > 1. We need to show that P(k+1) is also true.

To do this, we first simplify the left-hand side of P(k+1) using the definition of P(n):

1 - 1.2 + 2.3 - 3.4 + ... + (-1)^(k-1) * (k-1).k + 1 / k(k + 1) + (-1)^k * k.(k+1) + 1 / (k+1)(k+2)

= P(k) + (-1)^k * k.(k+1) + 1 / (k+1)(k+2)

= P(k) - (k+1).(k+2) / (k+1)(k+2) + k.(k+1) / (k+1)(k+2)

= P(k) - 1 / (k+1)

The last step follows from the fact that (k+1).(k+2) - k.(k+1) = k+1.

Since we assumed that P(k) is true, we can substitute P(k) with its value from the equation:

P(k+1) = P(k) - 1 / (k+1)

= 1 - 1.2 + 2.3 - 3.4 + ... + (-1)^(k-1) * (k-1).k + 1 / k(k + 1) - 1 / (k+1)

= (k+1).(1 - 1/(k+1)) / k(k+1) + (-1)^(k-1) * (k-1).k + 1 / k(k + 1)

= (-1)^(k-1) * (k-1).k + 1 / k(k + 1)

This matches the right-hand side of the equation for P(k+1), so P(k+1) is true.

Therefore, by mathematical induction, we have proven that the statement is true for every integer n > 1.

To prove the statement by mathematical induction, we will follow these steps:

1. Base Case: Show that P(1) is true
2. Inductive Step: Assume P(k) is true for some integer k > 1, and show that P(k+1) is also true.

Let P(n) be the equation: 1 - 1(1+1) + 1(2)(3) - 1(3)(4) + ... + (-1)^n 1(2n)(n+1) = n/(n+1)

Base Case (n=1):
P(1) = 1 - 1(1+1) = 1 - 2 = -1
The right-hand side of the equation is: 1/(1+1) = 1/2
Since -1 ≠ 1/2, the statement is false for n=1, and induction cannot be used to prove the given statement.

However, if the question intended to prove the statement for n > 2, the base case would be n=2 and we could proceed with the induction steps. But as the question is stated, induction cannot be used for this specific case.

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Answer:

C pi/9

Explanation:

"We need to find the number that is not between 1 and 6.28.

A pi = 3.14; 3.14 is between 1 and 6.28, so this is not the answer.

B sqrt(9) = 3; 3 is between 1 and 6.28, so this is not the answer.

C pi/9 = 3.14/9 = 0.349; 0.349 is not between 1 and 6.28, so this is the answer.

D pi^2/9 = (3.14 * 3.14)/9 = 9.86/9 = 1.095; 1.095 is between 1 and 6.28, so this is not the answer." (mathstudent55) thank you to mathstudent55 for the answer.

Answer:

10

Step-by-step explanation:

Squareroot of 10 over 12 is 2

3 pi is 9.424777961

Answer:

This is the in and out box where you can plug in the numbers in the x box into the above equations.

y = 7(6) - 3

y = 39

y = 7(5) - 3

y = 32

y = 7(-9) - 3

y = -66

y = 7(1) - 3

y = 4

y = 7(2) - 3

y = 11

Answer:

0.6

Step-by-step explanation:

You can literally put 3/5 into a calculator and you would get the answer 0.6, so I don't know what else to say. Whoever asked you this question, give them the above answer ask them what they were on, because the person was probably way high on LSD.

Answer:

Yes, Frank does have enough, he has 250 metal and only has 228 surface area.

Step-by-step explanation:

You take all the triangles (4) and multipy 4 x 6 (24) then divide that by 2 (12) so now you know all the triangles are equal to 12. Then the squares, you multiply 6 x 6 (36) now you know all the squres are equal to 36 and then you add 12 + 12+12+12+36+36+36+36+36 and then you get 228.

The values of A, B, and C that make the two planes parallel are:   A = (5B - C)/2and5B - 3C = |N₁||N₂|/2 and The values of A, B, and C that make the two planes perpendicular are:  A = (5B - C)/2and5B - 3C = 0.

Let's have a look at the planes. They are:

T₁ = 2x - 5y + z - 4 = 0 and T₂ = Ax + By + Cz + 10 = 0

Now we will try to solve the question using the concepts of vector and normal to the plane.

The vector and normal to the plane can be defined as follows:

A plane is a 2-dimensional surface that is defined by three points.

A normal is a vector that is perpendicular to the plane.

A vector is a quantity that has both magnitude and direction. Let's calculate the normal to both planes using the coefficients of x, y, and z in the equation of the planes.

The equation of the normal to a plane is given by:

N = ai + bj + ck where a, b, and c are the coefficients of x, y, and z in the equation of the plane.

Let's first find the normal to T₁.

The coefficients of x, y, and z are 2, -5, and 1, respectively.

Therefore, the normal to T₁ is given by:

N₁ = 2i - 5j + k

Now let's find the normal to T₂. The coefficients of x, y, and z are A, B, and C, respectively. Therefore, the normal to T₂ is given by:

N₂ = Ai + Bj + Ck

Now that we have found the normals to the two planes, we can determine if they are parallel or perpendicular based on the dot product of the two normals.

The dot product of two vectors is given by:

A.B = |A||B|cosθwhere A and B are two vectors, |A| and |B| are their magnitudes, and θ is the angle between them.

If the dot product of the two normals is zero, then the planes are perpendicular. If the dot product of the two normals is not zero, then the planes are parallel. In this case, we need to find the values of A, B, and C that make the two planes parallel or perpendicular.

Now let's find the dot product of the two normals:

N₁.N₂ = 2A - 5B + C

If the two planes are parallel, then their normals are parallel, which means that the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

N₁.N₂ = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular, which means that the dot product of the two normals is zero.

Therefore:

N₁.N₂ = 0

Now let's find the values of A, B, and C that make the two planes parallel or perpendicular. If the two planes are parallel, then their normals are parallel.

Therefore, the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

2A - 5B + C = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular.

Therefore, the dot product of the two normals is zero.

Therefore:2A - 5B + C = 0

Now let's solve the two equations for A, B, and C.

2A - 5B + C = |N₁||N₂|2A - 5B + C = 0A = (5B - C)/2

Substituting this value of A into the equation 2A - 5B + C = |N₁||N₂|, we get:

5B - 3C = |N₁||N₂|/2

Therefore, the values of A, B, and C that make the two planes parallel are:

A = (5B - C)/2and5B - 3C = |N₁||N₂|/2

The values of A, B, and C that make the two planes perpendicular are:

A = (5B - C)/2and5B - 3C = 0

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Answer:

It should be one, right??

Step-by-step explanation:

Cause, if u follow the order of operations, you would follow the same steps. I’m not tryin to take points but don’t mark me brainliest.

Answer:

One solution

Step-by-step explanation:

If you put the two equations on a graphing calculator you would see that there are only 1 point that has intersected.  For a more written answer, you would combine -x and 4x to get 3x and 5 and 3 to get 8.

From there on out, you would then have this equation 3 - 2x = 8 + 3x.  Add 2x both sides to get 3 = 8 + 5x, then subtract 8 both sides to get -5 = 5x.  Divide both sides to get x = -1.  This is the only known solution that I know of.

we need to multiply this number by 100 to get the  as a percentage:

0.1806 * 100 = 18.06%

The probability of choosing a senior can be calculated using the formula:

P(senior) = (102/562) * 100

P(senior) = 18.06%

This means that there is an 18.06% chance of choosing a senior if a student is randomly selected from the school.

First, we need to calculate the total number of students in the school by adding together the number of students in each class:

Total = 165 + 145 + 114 + 102 = 562

Next, we need to calculate the probability of choosing a senior by taking the number of seniors enrolled in the school (102) and dividing it by the total number of students in the school (562).

102/562 = 0.1806

Finally, we need to multiply this number by 100 to get the probability as a percentage:

0.1806 * 100 = 18.06%

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Answer:

Step-by-step explanation:

I don’t know

Answ

i dont know

Step-by-step explanation:

Answer:

\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)

The price of each book is $6 and the price of each backpack is $14.

Given that,

Cost of 2 books and a backpack = $26

Each book cost $8 less than the backpack.

Let the cost of each book be b and the cost of the backpack be p

2b + p =26  (i)

Each book cost $8 less than a backpack

b=p-8  (ii)

Substitute for b in equation (i)

2(p-8) +p = 26

2p - 16 +p =26

3p = 42

p =14 (Cost of backpack)

b = cost of book = 14-8 =6

Thus, the price of each book is $6 and the price of each backpack is $14.

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Answer:

3

Step-by-step explanation:

The actual prime factors of 60 are 2, 3, and 5.

Answer:

3

Step-by-step explanation:

prime fatorizations are 2, 3, and 5

It can be stated that there exist 63,360 ternary sequences of digits selected from {0, 1, 2} with a length of twelve, which contain precisely three 1s and two 0s.

The problem is asking us to find out how many ternary sequences of digits are there that are chosen from {0, 1, 2} of length twelve, and have exactly three 1's and two 0's.

Therefore, there will be a total of 7 digits (12 - 3 - 2 = 7) that could be 1 or 2. So, let's solve it in steps.

Step 1: The number of ways we can choose 3 positions out of 12 for 1s is C (12,3).

Step 2: The number of ways we can choose 2 positions out of 9 (because there are already 3 1s and 2 0s) for 0s is C (9,2).

Step 3: We have three digits left that can be either 1 or 2. So, there will be 2 options for each of these digits, and the total number of options will be

2 × 2 × 2 = 8.

Step 4: So, the total number of sequences will be obtained by multiplying the results of Steps 1, 2, and 3. i.e.

C (12,3) × C (9,2) × 8

⇒ ¹²C₃ × ⁹C₂ × 8

⇒ 220 × 36 × 8 = 63360.

Therefore, there are 63,360 ternary sequences of digits chosen from {0, 1, 2} of length twelve that have exactly three 1s and two 0s.

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Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer: 1/3

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal.

For example, if slope of line A is a/b, then slope of line B which is perpendicular will be -b/a.

Substitute 1 and 3 for a and b. Apply the formula and get 1/3.

Hello there, I hope you are having a splendid day. :)

Perpendicular lines have slopes that are opposite reciprocals.

This means you take a number, flop it over, and make it negative.

The opposite reciprocal of -3 is

\(\frac{1}{3}\)

This is our answer. Hope it helps. Ask me if you have any queries. :)

~An emotional teen who helps others with joy

\(MagicalNature\)

Good luck. :)

Answer:

Please give me brainliest if i tell you the answer

Step-by-step explanation:

The formula for the margin of error in a confidence interval is:
Margin of error = (Z-score) x (standard deviation of the population) / √(sample size)
The formula for the confidence interval is:
Confidence interval = sample mean ± margin of error
The formula for the Z-score is:
Z-score = (x - μ) / (σ / √n)
Where:
x = the sample mean
μ = the population mean
σ = the population standard deviation
n = the sample size

We can combine the formulas to solve the problem:
109.08 = x - (Z-score) x (5.68 / √n)
111.36 = x + (Z-score) x (5.68 / √n)
Subtract the first equation from the second equation:
2.28 = 2 x (Z-score) x (5.68 / √n)
Simplify:
Z-score = 2.28 / (2 x 5.68 / √n) = 0.8√n
Find the Z-score corresponding to a 95% confidence level (two-tailed):
Z-score = 1.96
Substitute in the equation:
0.8√n = 1.96
Solve for n:
n = (1.96 / 0.8)² = 6.07
Round up to the nearest whole number:
n = 7
Therefore, the correct answer is: For a sample size of 7, 95% of the sample means fall within the interval between 109.08 and 111.36.

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