Is 2/15 and 3/30 proportional

She uses 12 gallons of petrol to drive 420 miles, averaging 35 miles per gallon.

A number is split in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of items being distributed among a set of individuals. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The outcome of dividing one integer by another is a quotient. When dividing a number into units of a measurable quantity, this is known as quotative division. For instance, we could wish to know how many groups there will be if we divide 8 into groups of 2.

Here,

Weight of gas=12 gallon

Distance travelled=420 miles

miles did her car travel per gallon of gas,

=420/12

=35 miles/gallon

She travels 35 miles/gallon when she used 12 gallons of gas to travel 420 miles.

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Answer:

Angle A = \(77^{o}\)

Step-by-step explanation:

cos A = adjacent / hypotenuse

cos A = 18/82

cos A = 0.22

A = \(cos ^{-1}\)0.22

A = \(77^{o}\)

Answer: (x+2)(x-1)(x-2)

Step-by-step explanation: I am sure that it is right.

Answer:

C. (x+2)(x-1)(x-2)

Step-by-step explanation:

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The margin of error is 1.9%. and the interval that likely contains the true percent of all people who work out 3 or more days a week is: (71.1%, 74.9%)

Margin of error is the critical value (t score or z score) multiplied by the standard error (standard deviation of the sample). Thus;

ME = Critical value × S.E

Since n > 30, we can use the z-score as the critical value.

Assuming 95% confidence level, then z = 1.96

The standard error for a proportion is given by the formula:

s = √(p (1 − p) / n)

We are given;

p = 0.73

n = 2035:

Thus;

s = √(0.73 (1 − 0.73) / 2035)

s = 0.0098

Thus, the margin of error is:

ME = 1.96 × 0.0098

ME = 0.019

The margin of error is 1.9%.  

The interval that likely contains the true percent of all people who work out 3 or more days a week is:

73% ± 1.9% = (71.1%, 74.9%)

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The simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

The complete question is:

How do you simplify:

\(\rm 7v^3\cdot \:10u^3v^5\cdot \:8uv^3\)

By using the property of the integer exponent:

\(\rm =560v^3u^3v^5uv^3\)

\(\rm =560v^{11}u^4\)

or

= 560v¹¹u⁴

Thus, the simplification form of the provided expression is 560v¹¹u⁴ after using the property of the exponent.

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Answer: I did a screen shot of the answer

Step-by-step explanation:

Answer:

were the graph at tho?

Step-by-step explanation:

The total amound of samples is 200,000 so now we can use a rule of 3 to calculate how many males has the defect so:

so the equation is:

So now the probability to have a positive sample will be:

there is a 0.50%

Answer:

C

Step-by-step explanation:

A P E X

If you wanted a smaller interval, you could (c)  Increase the sample size to 100

The confidence interval is given as:

CI = 95%

The sample standard deviation is given as:

σ = 9

The sample size is given as:

n = 36

In a test of hypothesis, the higher the sample size, the smaller the confidence interval.

This means that an increase in the sample size from 36 would decrease the confidence interval

Hence, if you wanted a smaller interval, you could (c)  Increase the sample size to 100

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Using the fact that ∠A is congruent to ∠B and ∠C is a complement of ∠A, we determined that the measure of ∠B is 65° based on the given measure of ∠C as 25°.

If ∠A is congruent (≅) to ∠B and ∠C is a complement of ∠A, we can use the properties of complementary angles to find the measure of ∠B.

Given that m∠C = 25° and ∠C is a complement of ∠A, we know that ∠A + ∠C = 90°.

Since ∠A is congruent to ∠B, we can replace ∠A with ∠B in the equation:

∠B + ∠C = 90°.

Substituting the given value, we have:

∠B + 25° = 90°.

To isolate ∠B, we subtract 25° from both sides of the equation:

∠B = 90° - 25°.

Simplifying, we get:

∠B = 65°.

Therefore, the measure of ∠B is 65°.

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Answer:

The slope is 3/1

Step-by-step explanation:

Answer:

16y1yg1gyyq717177171716161yggqg1g2y2gqgq62g2gtqy2g

1jwjqhwhwjmnbhokmbhiknb

The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

Substitute the known values in the above equation, so, we have the following representation

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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Hiyaaa! I'm Nat and I'm gonna help you~♡

Thermo means heat! So. Thermosphere has to relate to hot and warm things.

Meso meaning middle,or intermediate.

,

Hope this helps!!

Brainliest?

-Nat

Answer:

step 1,×+8=_2

step2,×=_2_8

step3,×=_10

Answer:

16%

Step-by-step explanation:

We solve using z score formula

= z = (x-μ)/σ, where

x is the raw score = 12.5 minutes

μ is the population mean = 17 minutes

σ is the population standard deviation = 4.5 minutes

z = 12.5 - 17/4.5

z = -1

Probability value from Z-Table:

P(x<12.5) = 0.15866

Converting to percentage

= 0.15866 × 100

= 15.866%

Approximately , the percentage of people living in Flint have a travel time to work that is less than 12.5 minutes is 16%

The linear equation that passes through the point (2,-9) and has a slope of -5 in slope-intercept form is y = -5x = 1

Linear equation can be represented in different form such as slope intercept form, point slope form, general form and standard form.

Hence, the linear equation in slope intercept form is as follows;

y = mx + b

where

Therefore, the line passes through (2,-9) and has a slope of -5 .

Hence,

y = -5x + b

let's find the y-intercept using (2, -9)

-9 = -5(2) + b

-9 = -10 + b

b = -9 + 10

b = 1

Therefore, the linear equation is  y = -5x + 1

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Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

-------------------------

Given two legs of a right triangle and we need to find the hypotenuse.

Use Pythagorean theorem:

The matching choice is C.

Answer:

y = \(\frac{1}{8}\)x

Step-by-step explanation:

You need to find the unit rate.  In a proportional relationship,  you can find this by taking any point on the line and putting it the form y/x

Look at point (16,2)  y/x = 2/16 = 1/8

Answer:

Leigh Anne has the grater rate of pay by 0.30

Step-by-step explanation:

Jerry: $11.75 per hour

Anne: $12.05 per hour

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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PART A: Linda has $4.41 more than Enrique after one year.

PART B: Enrique has $12.10 more than Linda after the second year.

PART A: After one year, we can calculate the amount of money each person has in their respective accounts.

For Linda's account:

Principal amount = $610

Interest rate = 1.2%

\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)

\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)

For Enrique's account:

Principal amount = $590

Interest rate = 3.9%

\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)

Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91

Comparing the two amounts, after one year Linda has more money.

The difference in the amount is:

$617.32 - $612.91 = $4.41

Therefore, Linda has $4.41 more than Enrique after one year.

PART B: After a second year, we need to calculate the amounts again.

For Linda's account:

Principal amount = $617.32

Interest rate = 1.2%

\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)

Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73

For Enrique's account:

Principal amount = $612.91

Interest rate = 3.9%

\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)

Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83

Comparing the two amounts, after the second year Enrique has more money.

The difference in the amount is:

$636.83 - $624.73 = $12.10

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