Suppose that a storm front is traveling at 33 mph. When the storm is 13 miles away a storm chasing van starts pursuing an average speed of 54 mph. How long does it take for the van to catch up with the storm? How far have they driven? (Hint: we can let our two variables be x= distance and t= time. Additionally, [speed x time= distance]. Won’t the van catch up when the distances are equal?


Please make it easy to understand your answer :)

It would be 6 I think

Thus, the scale factor from circle A to circle B is found to be 2.

The ratio between comparable measurements of just an element and a portrayal of that element is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

You must first choose which direction we are scaling in order to determine the scale factor:

The radius of circle A = 2 units

The radius of circle B = 4 units.

So, there is a dilation with the scale factor of 2 units as 2*2 = 4 units.

Thus, the scale factor from circle A to circle B is found to be 2.

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Answer:

56

Step-by-step explanation:

The calculated value of x in the right triangle is 8

From the question, we have the following parameters that can be used in our computation:

The right triangle

The value of x can be calculated by using the corresponding sides of similar triangles

Using the similarity theorem of triangles, we have the following equation

x/2√6 = 2√6/3

When both sides are cross muliplied, we have the following equation

3x = 4 * 6

Divide both sides by 3, we get

x = 4 * 2

Evaluate the product of 4 and 2

x = 8

Hence, the value of x is 8

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20 - 5x.

or

x + 1

Brainliest?... thx

Answer:

x+1

Step-by-step explanation:

If 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

The percentage of people over the age of 65 = 14%

Number of residents over the age of 65 = 322

Consider the total population of the town as x

Then the equation will be

x × (14/100) = 322

From this equation we have to find the value of x, that is the population of the town.

x × (14/100) = 322

x × 0.14 = 322

x = 322/0.14

x = 2300

Hence, if 14 percent of the town's population is over the age of 65 and there are 322 residents over the age of 65, then the population of the town is 2300

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Answer:

\(P= 49.2m\), \(A=140.4m^2\)

Step-by-step explanation:

The diagonal splits the rectangle into two right triangles so we can use Pythagorean theorem to find the length of the missing side.

Pythagorean theorem states that a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides

So we can label our unknown side as x

x^2 + 9^2 = 18^2

x^2 + 81 = 324

Subtract 81 from both sides to isolate the x

x^2 = 243

Find the square root of both sides

√x^2 = √243

x ≈ 15.6

(The instruction said round to the nearest 10th).

So now we know

l = 15.6m and w = 9m

P= 2l + 2w

A= lw

P= 2(15.6) + 2(9)

P= 31.2 + 18

P= 49.2m

A=15.6(9)

A=140.4m^2

Answer:

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

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

I will answer this soon I don't remember

Answer:

A. Rate: the percent that interest is paid annually as a decimal

Step-by-step explanation:

Edge 2022 got the answer right :)

The representations of the inequality is  an open circle is at 1 and a bold line starts at 1 and is pointing to the right.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Since our answer is x > 1.  An open circle will be at 1 and a bold line starts at 1 and is pointing to the right (>). Check the attached image.

Note: You only shade up if you have ≤ (less than or equal) or ≥ (greater than or equal).

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Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.

The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).

According to the problem, the total interest earned after one year is $519. So we can set up the equation:

0.11x + 0.07(6500 - x) = 519

Simplifying the equation:

0.11x + 455 - 0.07x = 519

0.04x + 455 = 519

0.04x = 64

x = 64 / 0.04

x = 1600

Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).

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Answer:

30

Step-by-step explanation:

Answer:

answer: 35

Hope this helps!

To find the height of the cylinder when the volume is given as 1500 in³ and the radius is 7 inches, we can use the formula for the volume of a cylinder:

Volume = π * r² * h

Substituting the given values, we have:

\(1500 = 3.14 * 7^2 * h1500 = 3.14 * 49 * h1500 = 153.86 * h\)

To solve for h, we divide both sides of the equation by 153.86:

h = 1500 / 153.86

h ≈ 9.75

Rounding the answer to the nearest hundredth, the height of the cylinder is approximately 9.75 inches.

Therefore, the height of the cylinder is 9.75 inches.

Note: It is important to use the accurate value of π, which is approximately 3.14159, for precise calculations. However, in this case, since you specified to use 3.14 for π, I have used that approximation to calculate the height.

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Its option C

Verification

\(\\ \sf\longmapsto x-5y\lt 7\)

\(\\ \sf\longmapsto -3-5(2)\lt 7\)

\(\\ \sf\longmapsto -3-10\lt 7\)

\(\\ \sf\longmapsto -13\lt 7\)

The angle PMR in the quadrilateral is 32 degrees.

The angle PMR can be found as follows;

The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.

∠RPM ≅ ∠WPM

Hence,

∠RPM ≅ ∠WPM = 58 degrees

Therefore,

∠WPM = 58 degrees

∠PWM = 90 degrees

Let's find ∠PMR as follows

∠PMR = 180 - 90 - 58

∠PMR = 90 - 58

∠PMR  = 32 degrees

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Answer:

Add all the digits of the number, then check if that sum is divisible by 9. If yes, we know the number is divisible by 9.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

-2

Step-by-step explanation:

[0-(-2)](rise) over [(-4) - (-3)](run)

2/-1 = -2 = slope

HOPE THIS HELPS!!!!

Answer:

x = 80

Step-by-step explanation:

using the rules of logarithms

log x - log y = log (\(\frac{x}{y}\) )

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

given

log5x - log4 = 2

log (\(\frac{5x}{4}\) ) = 2

note that log is actually \(log_{10}\)

then

\(log_{10}\) ( \(\frac{5x}{4}\) ) = 2

\(\frac{5x}{4}\) = 10² = 100 ( multiply both sides by 4 to clear the fraction )

5x = 400 ( divide both sides by 5 )

x = 80

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

\(f(x) = -0.0152x^2 + 1.25x + 2\)

It is a quadratic equation with coefficients \(a = -0.0152, b = 1.25, c = 2\).

The maximum value is the value of the function at the vertex, hence:

\(f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)

Applying the coefficients:

\(f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7\)

The maximum height of the punt is of 27.7 feet.

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I might be wrong but I'm gonna go with

D is my answer

7.25 is the right response as a change figure.

According to the query, Joyce purchased 2.2 pounds of apples for a total of $1.25 per apple.

As a result, Joyce has paid a total of 2.2 x 1.25 = 2.75.

She then paid the $10 bill:

Amount left over: 10 - 2.75 = 7.25

Therefore, 7.25 is the right response as the remaining sum.

Cost price is the sum of money that is paid to the maker or the buyer for the good. They'll alter the sum and set a selling price later.

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The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

Answer:

the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.