What is the measure of angle 1?

A: 102 degrees
B: 80 degrees
C: 78 degrees
D: 88 degrees

Answer: 280

Step-by-step explanation:

The products of each pair of numbers are:

1 x 33 = 33

4 x 30 = 120

8 x 26 = 208

14 x 20 = 280

b. To find the pair of numbers that will produce the largest possible product, we need to look for the pair with the closest product to 340 (the square of 17, which is the average of the two numbers).

The pair of numbers with the closest product to 340 is 14 and 20, whose product is 280. Therefore, the pair of numbers that will produce the largest possible product is 14 and 20, and the product is 280.

Answer:

60%

Step-by-step explanation: Apologies if incorrect

To calculate how much Naruto spends on ramen in 15 days, we need to determine the total cost of ramen per day and then multiply it by 15.

Since Naruto receives a 33.33% discount, he pays 100% - 33.33% = 66.67% of the original price.

66.67% of 45 cents is (66.67/100) * 45 = 30 cents.

So, Naruto spends 30 cents on ramen per day.

To find out how much he spends in 15 days, we multiply the daily cost by the number of days:

30 cents * 15 = 450 cents.

Therefore, Naruto spends 450 cents, which is equivalent to $4.50, on ramen in 15 days.

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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Answer:

Hi, the answer to your question is ×=20

X = 20

when we solve the given equation,

9/12 = 15/x

hence,

X = 15*12/9

X = 20

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Answer:

66

Step-by-step explanation:

the difference of 54 and 32 is 54 - 32 = 22

the difference of 8 and 5 is 8 - 5 = 3

then

22 × 3 = 66

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

Step-by-step explanation:

Answer:

Mark gets $4800
Sofia gets $2400

Step-by-step explanation:

Let M, S and T represent the amounts that Mark, Sofia and Tina get respectively

We have the following

M = 2S
S = M/2

T = S/2 = M/2 ÷ 2 = M/4

Therefore the ratio of M : S; T can be expressed in terms of M as
M : M/2 : M/4

Multiplying throughout by 4 gives
4M : 2M : M

Removing the common M the proportion is

4 : 2 : 1

If T = 1200 then from T = S/2, s = 2T = 2 x 1200 = 2400

Since M = 2S, M = 2 x 2400 = 4800

So

Mark gets $4800
Sofia gets $2400

The ratio of the amounts obtained
4800: 2400: 1200

Dividing by 1200 gives us
4800/1200: 2400/1200: 1200/1200

= 4 : 2 : 1

Answer:

Divisible

Step-by-step explanation:

Divisible simply means that one number can be divided by another number evenly, without a remainder.

Answer: 20,085

Step-by-step explanation: 2,000x10=20,000. 8.5x10=85. 20,000+85=20,085.

                               I hope I got this right and if I did it right.

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

Answer:

946 Sq Inches

Step-by-step explanation:

just cut it off to make two rectangles

28 * 7 = 196

30*25= 750

then add em up

750+196 = 946

Answer:

918 in²

Step-by-step explanation:

Those are just 2 recangles.

1. 30*25 = 750

2. 7*24 = 168

add 750+168= 918

Lavage Rapide's total cost per car washed is $19.05.

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

Fixed costs are expenses that do not change based on the number of units produced or sold. Variable costs, on the other hand, change with the level of production or sales. Here, the fixed costs are cleaning supplies, electricity, maintenance, wages and salaries, depreciation, rent, and administrative expenses.

The variable cost is the cost per car washed, which includes wages and salaries and administrative expenses.

To calculate the total cost per car washed, we need to add fixed costs to the variable cost per car. So, the total cost per car washed for Lavage Rapide would be:

Total Cost per Car Washed = Fixed Costs + Variable Cost per Car Washed

Total Cost per Car Washed =\(($0.80 + $1,400 + $0.20 + $4,700 + $8,000 + $2,100 + $1,400) + ($0.40 + $0.05)\)

Total Cost per Car Washed = $18,620 + $0.45

Total Cost per Car Washed = $19.05

Therefore, Lavage Rapide's total cost per car washed is $19.05.

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complete question:

Fixed Cost per Month Cost per Car Washed

Cleaning supplies $ 0.80

Electricity $ 1,400 $ 0.08

Maintenance $ 0.20

Wages and salaries $ 4,700 $ 0.40

Depreciation $ 8,000

Rent $ 2,100

Administrative expenses $ 1,400 $ 0.05

The consecutive integers that are odd numbers are 17, 19 and 21.

In this problem we need to find the values of three consecutive integers that odd integers such that the following equation is satisfied:

x₁ + x₂ = 3 · x₃ - 27

Please notice that two odd numbers are consecutive when their difference is 2.

x₁ + (x₁ + 2) = 3 · (x₁ + 4) - 27

2 · x₁ + 2 = 3 · x₁ + 12 - 27

2 · x₁ + 2 = 3 · x₁ - 15

17 = x₁

x₁ = 17

Thus, the three odd integers that are consecutive are 17, 19 and 21, respectively.

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Answer:

nth term =  12n +2

Step-by-step explanation:

-2,10,-50 .......

Tn = An + B

A = difference between first two numbers = 10--2 = 12

B = first number = 2

Tn = 12n + 2

Answer: 0.45

Step-by-step explanation:

it goes into 4 1/2 in 0.45 times! Hoped this helped!

Answer:

M = 0 , b = 3

Step-by-step explanation:

y = 3

y = 0x + 3

y = 0x + 3, m = 0

y = 0x + 3, m = 0, b = 3

make sense?

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

Volume of solid generated when the trapezoid is rotated about side DE=549.8.

A trapezoid is a quadrilateral with only one pair of parallel sides. It is also known as a trapezium in some countries.

The volume of a solid is the amount of space it occupies in three-dimensional space.There are different formulas to calculate the volume of different types of solids, such as cubes, spheres, cylinders, and cones.

Given trapezoid DEFG formed when right angle HGD is cut by line FE.

Volume of solid generated about side DE:

\(V_{GDH}\)=1/3×πr²h

=1/3×π(5+5)²(6)

=200π

\(V_{FEG}\)=1/3×π×r²h=1/3×π×(5)²×3

=25π

Volume of Solid=\(V_{GDH}\)-\(V_{FEH}\)

=200π-25π=175π

=549.78 ≈549.8

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Answer:

27 cm

Step-by-step explanation:

Based on the integer from the location in the diagram, the possible values for n and m will be 3.25 and π.

It should be noted that an integer means a number that can be expressed without a fraction.

In this case, n is a not an integer but a rational number while m is an irrational number. The possible values for n and m will be 3.25 and π.

A rational number is a number that can be expressed as a fraction where the numerator and denominator are both integers (whole numbers), and the denominator is not equal to zero. In other words, a rational number is any number that can be written in the form of p/q, where p and q are integers and q is not equal to zero.

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Answer: 1/8 for V, R, Y, W. 2/8 for E and L

explanation

In VERYWELL there is 1 V, R, Y, W, therefore the probability is 1/8.
However, in VERYWELL there is 2 E and L, thus the probability is now 2/8.

Answer

H = 5

Explanation

The surface area of the special rectangle box is given as

S = 4LW + 2WH

where

S = 184

L = 9

W = 4

We are then told to find H

To do that, we will just substitute for the variables whose numbers are given and solve for H

S = 4LW + 2WH

184 = 4×9×4 + 2×4×H

184 = 144 + 8H

We can rewrite this as

144 + 8H = 184

8H = 184 - 144

8H = 40

Divide both sides by 8

(8H/8) = (40/8)

H = 5

Hope this Helps!!!

Answer:

For 2 it's 27,247 and for 3 it's 31393.86

Step-by-step explanation:

The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

The first equation is given as

y = 8x - 4

The slope of the above equation is

m = 8

Parallel lines have equal slope

So, the slope of the other line is

m = 8

The equation is then calculated as

y = m(x - x1) + y1

Where

m = 8

(x1, y1) = (-7, -4)

So, we have

y = 8(x + 7) - 4

Expand

y = 8x + 56 - 4

Evaluate the difference

y = 8x + 52

Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52

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