Two cars leave towns 1000 kilometers apart at the same time and travel toward each other. One car's rate is 20 kilometers per hour less than the other's. If they meet in 5 hours, what is the rate of the slower car?

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer: 0

Step-by-step explanation: Using the point slope formula y2-y1/x2-x1 you get -3- (-3)/ 7- (-8) and you calculate that out and get 0

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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Using the normal distribution, we have that:

a. 68% of pregnancies last between 250 and 282 days.

b. 99.7% of all pregnancies fall between 218 days and 314 days.

c. A pregnancy located in the 16th percentile would last 250 days.

d. There is a 0.2140 = 21.40% probability that 5 of them have a pregnancy that last between 250 and 266 days.

e. Her pregnancy length will be of at least 286 days.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation are given, respectively, by:

\(\mu = 266, \sigma = 16\)

For item a, the proportion is the p-value of Z when X = 282 subtracted by the p-value of Z when X = 250, hence:

X = 282:

Z = (282 - 266)/16

Z = 1 has a p-value of 0.84.

X = 250:

Z = (250 - 266)/16

Z = -1 has a p-value of 0.16.

0.84 - 0.16 = 0.68.

68% of pregnancies last between 250 and 282 days.

For item b, By the empirical rule, 99.7% of the measures of a normal distribution fall within 3 standard deviations of the mean, hence:

99.7% of all pregnancies fall between 218 days and 314 days.

For item c, the pregnancy length is X when Z = -1, hence:

-1 = (X - 266)/16

X - 266 = -16

X = 250.

A pregnancy located in the 16th percentile would last 250 days.

For item d, using the binomial distribution with p = 0.34(due to item a and the symmetry of the normal distribution) and n = 15, the probability is given as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 5) = C_{15,5}.(0.34)^{5}.(0.66)^{10} = 0.2140\)

There is a 0.2140 = 21.40% probability that 5 of them have a pregnancy that last between 250 and 266 days.

For item e, her pregnancy length is at the 90th percentile, that is, X when Z = 1.28, hence:

1.28 = (X - 266)/16

X - 266 = 1.28 x 16

X = 286.

Her pregnancy length will be of at least 286 days.

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Answer:

21 1/2 Feet

Step-by-step explanation:

Change 2 yards into feet.  2 yards will be 6 feet.

The perimeter will be

6 + 6 + 4 3/4 + 4 3/4

12 + 8 6/4  Which is the same as

12 + 8 + 4/4 + 2/4  I broke 6/4 up into 4/4 and 2/4 because another name of 4/4 is 1

12 + 8 + 1 + 2/4

21 2/4  2/4 can be simplified to 1/2

21 1/2 feet

Helping in the name of Jesus.

Answer:

22

Step-by-step explanation:

a^2+b+3 and a=4, b=3

4^2+3+3

16+3+3

22

Answer:

1/12 gallons

Step-by-step explanation:

We can determine how much more hot chocolate than apple cider die Joe serve by subtracting 1/12 from 1/6.

Step 1:  Since 1/12 has the bigger denominator and 6 * 2 = 12, let's give 1/6 the same denominator as 1/12 by multiplying the entire fraction by 2/2

(1/6) * (2/2) = 2/12

Step 2:  Now we can subtract 1/12 from 2/12:

2/12 - 1/12 = 1/12

Thus, Joel served 1/12 more gallons of hot chocolate than apple cider.

Answer:

67/100

Step-by-step explanation:

its the simpelist form

Answer:

x = quantity of dimes

500 - x = quantity of nickels

.10x +.05(500-x)= 40

**get rid of the decimals by multiplying by 100**

10x + 25 -.05x) =40

10x +2500 - 5x = 4000

10x + 2500 - 2500 -5x = 4000 - 2500

10x -5x =1500

5x = 1500

5x/5 = 1500/5

x = 300 dimes

check -

.10(300) + .05(500-300) = 40

30 + .05(200) = 40

30 + 10 = 40

Step-by-step explanation:

hope this helps

Answer

3x−2y=12y=1−2x

re

Answer:

Step-by-step explanation:

Volume of the water is equivalent to the volume of a cylinder = πr²h where;

r is the radius of the cylindrical tank

h is the height of the water

Given parameters

radius of the cylindrical tank r = 1feet = 12 inches

height of the water inside the tank = 6inches

Volume of the water = πr²h

Volume of the water  = π(12)²*6

Volume of the water  = π*144*6

Volume of the water  = 864π in³

Hence the volume of the water is 864π in³

Answer:

\(\huge \boxed{\mathrm{2714.34 \ in^3 }}\)

Step-by-step explanation:

The volume formula for a right cylinder is given as :

\(V=\pi r^2 h\)

\(V \Rightarrow \sf volume\)

\(h \Rightarrow \sf height\)

\(r \Rightarrow \sf radius\)

The radius 1 feet ⇒ 12 inches

The height of the water in the cylinder is 6 inches

\(V=\pi (12)^2 (6)\)

\(V= 2714.336053...\)

The volume of the water is 2714.34 cubic inches.

Answer:

First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation

Step-by-step explanation:

Answer:

y = 658.3 ft

Step-by-step explanation:

Alternate angles are equal. Therefore,

Reference angle (θ) = 28°

Length of side Opposite to reference angle = 350 ft

Adjacent side = y

Apply TOA, which is:

Tan θ = Opp,/Adj

Substitute

Tan 28 = 350/y

y*tan 28 = 350

y = 350/tan 28

y = 658.3 ft (nearest tenth)

a) The organization of ledger accounts under an accounting equation and journal entries are as follows:

                         Assets                               =  Liabilities + Equity

            Cash +   Inventory + A/Receivable                    C.Stock  R/Earnings

1.       $43,000                                                                 $43,000

2.       -28,000   $28,000

3.                                                $42,000                                          42,000 S/Revenue

4.                        -20,000                                                                  -20,000 COGS

5.        37,000                            -37,000

6.        -9,800                                                                                     -9,800 Op Exp.

Bal. $42,200      $8,000           $5,000                      $43,000    $12,200

Debit Cash $43,000

Credit Common Stock $43,000

Debit Inventory $28,000

Credit Cash $28,000

Debit Accounts Receivable $42,000

Credit Sales Revenue $42,000

Debit Cost of goods sold $20,000

Credit Inventory $20,000

Debit Cash $37,000

Credit Accounts Receivable $37,000

Debit Operating expenses $9,800

Credit Cash $9,800

b1)

Jana's Flowers

For the year ended December 31, Year 1

Sales Revenue           $42,000

Cost of goods sold    $20,000

Gross profit                $22,000

Operating expenses   $9,800

Net income                $12,200

b2) Jana's Flowers

December 31, Year 1

Cash                           $42,200

Accounts Receivable  $5,000

Inventory                     $8,000

Total assets             $55,200

Common Stock        $43,000

Retained Earnings      12,200

Total equity            $55,200

b3) Jana's Flowers

For the year ended December 31, Year 1

Net income                $12,200

Changes in working capital:

Accounts Receivable  (5,000)

Inventory                      (8,000)

Operating cash flow     ($800)

Financing activities:

Common Stock       $43,000

Cash flows              $42,200

c) I do not agree with this statement.  It does not necessarily flow that Jana selling $42,000 in goods will be able to recover more than half of the $43,000 she invested in her business.  So far, she has made $12,200 from her investment.

Cash $43,000 Common Stock $43,000

Inventory $28,000 cash $28,000

Accounts Receivable $42,000 Sales Revenue $42,000

Cost of goods sold $20,000 Inventory $20,000

Cash $37,000 Accounts Receivable $37,000

Operating expenses $9,800 Cash $9,800

Thus, it will take time for Jana to recover her investment in the business.

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Answer:

wheres it at?

Step-by-step explanation:

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Since the value of y varies directly with x, the value of x when y equals 9 is 9/13

Given the following data:

x = 195

y = 15

To find the value of x when y = 9:

This is a direction proportion exercise and you're required to solve for the value of x when the value of y is equal to 9.

First of all, we would determine the constant of proportionality (k) for the mathematical expression.

y = kx

15 = 195k

k = 13

Now, we can find x:

y = kx

9 = 13 x

x = 9/13

Therefore, the value of x when y equals 9 is 9/13

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complete question:

The value of y varies directly with x. If x = 195 when y = 15, what is the value of x when y = 9?

Answer:

162.4 miles

Step-by-step explanation:

We can write a ratio to solve

116 miles            x miles

----------------- = ------------

5 gallons           7 gallons

Using cross products

116*7 = 5x

Divide by 5

812 /5 = 5x/5

162.4 =x

162.4 miles

The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

Given that;

The sequence is,

11, 13, 15, 17, ....

Here, Common difference is,

13 - 11 = 2

15 - 13 = 2

Hence, Sequence is in Arithmetic sequence.

So, the nth term of 11,13,15,17 is,

⇒ T (n) = a + (n - 1)d

⇒ T (n) = 11 + (n - 1) 2

⇒ T (n) = 11 + 2n - 2

⇒ T (n) = 9 + 2n

Thus, The nth term of 11,13,15,17 is,

⇒ T (n) = 9 + 2n

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Answer: x = - 10

Step-by-step explanation:

    We will use the equation given, substitute -1,000 in for y, and solve.

y = x³

(1,000) = x³

\(\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}\)

- 10 = x

x = - 10

Answer: negative one third

Answer:

-1/3

Explanation:

There's a formula that I'll use to find the slope - it's called the slope formula.

\(\sf{m=\dfrac{y_2-y_1}{x_2-x_1}}\)

Plug in the data:

\(\sf{m=\dfrac{8-4}{-4-8}}\\\\\sf{m=\dfrac{4}{-12}\)

Simplify:

\(\sf{m=-\dfrac{4}{12}}\)

\(\sf{m=-\dfrac{1}{3}}\)

Hence, the slope is negative one-third.

Answer:

The answer is option C

Step-by-step explanation:

To find the length of AB we use sine

sin∅ = opposite / hypotenuse

From the question

The hypotenuse is AB

The opposite is AC

So we have

sin 54 = AC/AB

sin 54 = 16 / AB

AB = 16/sin 54

AB = 19.777

Hope this helps you

Answer:

AB = 19.78

Step-by-step explanation:

From the diagram (Right-angle triangle):

AC = 16

AB = ?

Angle = 54°

Applying trig ratio:

Tan 54° = 16/BC

1.376381920 = 16/BC

Therefore;

BC = 16/1.376381920

BC = 11.62

To solve the length AB:

Cos 54° = BC/AB

0.587785252 = 11.62/AB

Solving AB gives:

AB = 11.62/0.587785252

AB = 19.78

The equation of the relationship is f(200) = 0.75 * 200

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

Total number of drinks = 200

Cost of each drink = 0.75

Using the above as a guide, we have the following:

f(x) = Cost of each drink * Total number of drinks

Where

f(x) = Total cost

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

f(200) = 0.75 * 200

Hence, the equation is f(200) = 0.75 * 200

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Answer:

154

Step-by-step explanation:

mrk brainliest

42/3= 14

14*11=154

Answer: 172 ounces

Step-by-step explanation:

We are given 10 pounds and 12 ounces to convert to ounces.

There are 16 ounces in 1 pound.

We can create a proportion to find out how much ounces 10 pounds is.

10 pounds / x ounces = 1 pound / 16 ounces

We need to solve for x by isolating the variable x.

10/x = 1/16

10 = x/16

10 * 16 = x

160 ounces = x

so 10 pounds is equivalent to 160 ounces. But we are not done yet.

We were asked to convert 10 pounds and 12 ounces.

So add together the ounces to find the total ounces:

160 ounces + 12 ounces = 172 ounces.

Answer:

0.36

Step-by-step explanation:

A= K/B^2

K= A × B^2

K= 1 × 3^2

K= 1×9

K= 9

Therefore if B is 5 then A can be calculated as follows.

K= A × B^2

9= A × 5^2

9= A × 25

9= 25A

A= 9/25

A= 0.36

Hence A is 0.36

Answer:

0 < 5 < 54/7 < 52/3

Step-by-step explanation

0/21 < 105/21 < 162/21 < 364/21

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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The value of tan 2π/3 without calculator is -√3.

The value of tan 2π/3 without calculator is calculated by applying trig identities as follows;

the value of π = 180 degrees

So we can replace the value of π in the function with 180 degrees as follows;

tan ( 2π / 3) = tan (2 x 180 / 3)

tan (2 x 180 / 3) = tan (2 x 60)

tan (2 x 60) = tan (120)

tan (120) if found in the second quadrant, and the value will be negative since only sine is positive in the second quadrant.

tan (120) = - tan (180 - 120)

= - tan (60)

= -√3

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