Write the area of the rectangle as a product and as a sum

Ryan rides his bike for 30 minutes and travels a distance of 4 miles. He was traveling 8 miles per hours.

Ryan rides his bike for 30 minutes and travels a distance of 4 miles.

We have to determine how fast he was traveling.

Time = 30 minutes

First we convert the minutes in hours.

As we know that;

1 hour = 60 minutes.

So 1 minute = 1/60 hours

30 minutes = 30/60 hours

30 minutes = 1/2 hours

Distance = 4 miles

The formula of speed is;

Speed = Distance/Time

Speed = 4/(1/2) miles per hours

Speed = 4 × 2 miles per hours

Speed = 8 miles per hours

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Answer:

I chose "Gallon Of Gas"

Percent of Change is (19.8C:CENTS:)per year

Average price of the item (Gas Gallon) this year (2021) is $3.744

Does It Match The Trend ? NO!

Disease in 2021 ranked the gas prices up a ton in 2021 almost by $2 in some states.

Predicted Gas Prices For Future Year !

$4 dollars per gallon / Capital price at the average rate of change and economic fixtures (Real-Life Problems)

Step-by-step explanation:

Calculate the percent of change of the item's price each decade, and use your results to determine the average rate of change from 1960–2000.

A common search on the web shows the expideited increase in gas prices incoming for the next decade.

Down below is the line graph recorded date sheet !

Answer: x-intercept = 2, y-intercept = -6

Step-by-step explanation:

To solve this problem, we must first convert 6x - 2y = 12 to slope-intercept form by getting y by itself.

1. 6x - 2y = 12

2. -2y = 12 - 6x

3. -2y/-2 = 12/-2 - 6x/-2

y = 3x - 6

Using our knowledge of what the slope-formula represents, we know that the -6 is the y-intercept.

To find the x-intercept, we set the formula equal to 0 instead of y and solve for x.

1. 0 = 3x - 6

2. 0 + 6 = 3x

3. 6/3 = 3x/3

x = 2

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer:

Area = 147.03 cm²

Step-by-step explanation:

Area of parallelogram = \(Base*Heigth\)

Where base = 16.9 cm, Height = 8.7 cm

Area = 16.9*8.7

Area = 147.03 cm²

Answer:

147.03 square cm

Step-by-step explanation:

\(area \: of \: parallelogram \\ = base \times height \\ = 16.9 \times 8.7 \\ = 147.03 \: {cm}^{2} \\ \)

Answer: 3 hours and 15min

Step-by-step explanation:

Answer:

3 houurs and 9 minutes

Step-by-step explanation:

Answer:

the measure of supplementary angles must add up to 180

Step-by-step explanation:

complementary angles add up to 90°

angles on a straight line are supplementary angles which add up to 180°

The measure of supplementary angles must add up to 180. The correct option is D.

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located.

The complementary angles are defined as the angles having the summation of 180 degrees. The angles made by the straight lines are termed complementary angles.

The supplementary angles are the angles between the two lines that will be 90 degrees.

Therefore, the measure of supplementary angles must add up to 180. The correct option is D.

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Answer:

There are 4 terms in the given expression

Answer:

Step-by-step explanation:

8x+47=8(x+5)

8x+47=8x+40

47=40

which is impossible so it has no solution.

At a discount rate of 20%, the present value of your aunt’s offer of $22,000 in 17 years is approximately $190.46.


To calculate the present value of your aunt’s offer, we use the discount rate of 20%. The formula for present value is PV = FV / (1 + r)^n, where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. Plugging in the values, we have PV = $22,000 / (1 + 0.20)^17, which gives us approximately $190.46.

For the investment scenarios, we use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount (initial investment), r is the interest rate, n is the number of times interest is compounded per year, and t is the number of years. Plugging in the given values for each case, we calculate the final amounts.
a. A = $12,500(1 + 0.07/1)^(1*8) ≈ $19,956.77.
b. A = $12,500(1 + 0.10/1)^(1*17) ≈ $46,426.32.
c. A = $12,500(1 + 0.12/2)^(2*20) ≈ $73,785.59.
Therefore, if you invest $12,500 today, you will have approximately $19,956.77 in 8 years at 7%, $46,426.32 in 17 years at 10%, and $73,785.59 in 20 years at 12% compounded semiannually.

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B) Yes, she will get back $10.00

To determine if Emma will have enough money to buy the movie ticket, popcorn, and drink, we need to calculate the total cost of the items and compare it to her savings.

Total cost = Cost of movie ticket + Cost of popcorn + Cost of drink

Total cost = $8.00 + $5.50 + $3.25

Total cost = $16.75

Emma has saved $26.75, and the total cost of the items is $16.75. Therefore, to find out if she will have enough money, we subtract the total cost from her savings:

Change = Savings - Total cost

Change = $26.75 - $16.75

Change = $10.00

Based on the calculation, Emma will have $10.00 in change left if she buys the movie ticket, popcorn, and a drink. Therefore, the correct answer is:

B) Yes, she will get back $10.00.

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Answer:

The answer is true

Answer:

The customer can conclude that the company's claim is correct

Step-by-step explanation:

The percentage of lids that has a free yogurt coupon = 20%

The number of cups a loyal customer purchases = 85 yogurt cups

The number of cups that contained a coupon = 12 (14.1%)

The confidence interval performed = 99% confidence interval for the proportion of yogurt cups containing coupon codes

The interval obtained = (0.044, 0.238)

Therefore, the range of proportion within which the true proportion exists is 0.044 < \(\hat p\) < 0.238

The range of percentage within which the true percentage exist is therefore;

0.044 × 100 = 4.4%  < \(\hat p\) × 100 < 0.238 × 100 = 23.8%

Given that the possible true percentage of lids that has a coupon is between 4.4% and 23.8% at 99% confidence level, the customer can conclude that only 12 of his yogurt cup contained coupon by chance and that the company's claim is correct.

Answer:

A, the company’s claim may be justified because 0.2 is in the confidence interval.

Step-by-step explanation:

Answer:

Hi

Please mark brainliest

Step-by-step explanation:

1.46 × 10^-2 = 0.0146

The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.

   When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."

  To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."

    As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."

     It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.

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The first 4 terms are 4 ,16,36 and 64 of the sequence (bn)n>=1 of partial sums of the sequence.

To find the first 4 terms of the sequence (bn)n≥1, we will calculate the partial sums as follows:

1. b1 = 4 (the first term)
2. b2 = b1 + 12 = 4 + 12 = 16 (sum of the first two terms)
3. b3 = b2 + 20 = 16 + 20 = 36 (sum of the first three terms)
4. b4 = b3 + 28 = 36 + 28 = 64 (sum of the first four terms)

So, the first 4 terms of the sequence (bn)n≥1 are 4, 16, 36, 64.

Now let's determine a recursive definition for bn. Notice that the difference between each term in the original sequence is 8 (12 - 4, 20 - 12, and 28 - 20). So, we can write the recursive definition as:

bn = bn-1 + 8n, for n > 1, and b1 = 4 (the first term).

This recursive definition can be used to find any term in the sequence (bn)n≥1 of partial sums.

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Answer:

q=y + K/n

Step-by-step explanation:

Answer:

Weight of large box = 18.75 kg

Weight of small box = 6.5 kg

Step-by-step explanation:

a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?

Let

Weight of large box = x

Weight of small box = y

6x + 5y = 145 (1)

2x + 3y = 57 (2)

Multiply (2) by 3

6x + 9y = 171 (3)

6x + 5y = 145 (1)

Subtract (1) from (3)

9y - 5y = 171 - 145

4y = 26

y = 6.5 kg

Substitute y = 6.5 kg into (2)

2x + 3y = 57

2x + 3(6.5) = 57

2x + 19.5 = 57

2x = 57 - 19.5

2x = 37.5

x = 37.5/2

x = 18.75 kg

Weight of large box = 18.75 kg

Weight of small box = 6.5 kg

Average rate of change is a way to measure how a function changes over time.

The average rate of change is the average rate at which something changes over a given period of time. It is calculated by taking the difference between the initial and final values of a variable and dividing it by the amount of time that has elapsed.

For example, if the function y = 2x represents the number of hours of work completed in relation to the number of hours worked, then the average rate of change would represent the average number of hours completed for each hour worked. In this example, the average rate of change would be 2, since 2 hours are completed for each hour worked.

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Answer:

\( \frac{ {m}^3{} }{25} \)

Step-by-step explanation:

that is the answer

Answer: an acute angle so it bout 55

Step-by-step explanation:

This integral can be approximated numerically, or it can be simplified using trigonometric substitution. The final surface area will depend on the value of p and can be expressed in terms of p.

To find the surface area of the part of the cone z = p x2 y2 that lies between the plane y = x and the parabolic cylinder y = x2, we need to first determine the bounds of integration. Since the plane y = x intersects the parabolic cylinder y = x2 at x = 0 and x = 1, we can integrate over these bounds.
The surface area of a cone is given by the formula A = πrℓ + πr^2, where r is the radius of the base and ℓ is the slant height. In this case, the base of the cone is given by the parabolic cylinder y = x2, so the radius of the base is r = x2. The slant height ℓ can be found using the Pythagorean theorem:
ℓ^2 = x^2 + y^2 + (p x^2 y^2)^2
We can simplify this expression by substituting y = x:
ℓ^2 = 2x^2 + (p x^4)^2
Integrating over the bounds x = 0 to x = 1, we get:
A = ∫0^1 2πx2√(1 + (p x^4)^2) dx
This integral can be approximated numerically, or it can be simplified using trigonometric substitution. The final surface area will depend on the value of p and can be expressed in terms of p.

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Answer:

-0.53

Step-by-step explanation:

5/4 *x -1/9 = 6x

-1/9 = (6-5/4) x

x = -4.75/9

x=-0.53

Answer:

4

Step-by-step explanation:

7/2+1/2=8/2

8/2=6=5/2

8/2-5/2=3/2

3/2=6

3/2=1.5

6/1.5=4

the 60th percentile of breaking strength for this type of fishing line is

k= 6.64

assume that k pounds is the both percentile of breaking strength for this type of finishing line

p( x<k) = 0.60

p( x- 6.44/0.75 < k- 6.44/0.75)= 0.60

then k-6.44 /0.75 = 0.26

thus k= 6.64

Hence , the 60th percentile of breaking strength for this type of fishing line is 6.64

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Answer:

(3,4)

Step-by-step explanation:

There are rules for rotations that make it really easy to find the images of any given point for any given rotation. In this case, we have an 180° clockwise rotation, and to find the image of any point rotated this way, we just have to make the x-values and y-values negative.

In this case, we have (-3,-4). Let's make each value negative: (-(-3), -(-4)). Our negative signs cancel out and we get (3,4). And that's the image of the point (-3,-4) at a 180° clockwise rotation about the origin.

Hopefully that's helpful! :)

Answer:

$250,903,007

Step-by-step explanation:

Writing two hundred and fifty million nine hundred and three thousand and seven.  

: $250,903,007

hope it helps :)

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

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Answer:

Two sides are congruent to each other.

The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.

Step-by-step explanation:

The Venn diagram accordingly, you will be able to find the number of students who passed in Science and Mathematics as well as the number of students who passed in only one subject (Science or Mathematics). iii.

To solve this problem using a Venn diagram, let's consider three sets:

M: Students who passed in Mathematics

S: Students who passed in Science

T: Total number of students (120)

Based on the information given, we know that:

M only = 2(S only) [The number of students who passed in Mathematics only is twice the number of students who passed in Science only]

M ∩ S = 50 [50 students passed in both subjects]

(M ∪ S)' = 40 [40 students failed in both subjects]

Let's fill in the Venn diagram step by step:

Step 1: Start by filling in the value for (M ∩ S), which is 50.

Step 2: Since (M only) is twice the value of (S only), we can assume (S only) = x.

(M only) = 2x.

Fill in the values accordingly.

Step 3: We know that (M ∪ S)' = 40, which means 40 students failed in both subjects.

We subtract 40 from the total number of students (T) to get the remaining students who passed in at least one subject [(M ∪ S)].

Step 4: Since we know the values of (M ∩ S), (M only), (S only), and (M ∪ S), we can calculate the values for (M) and (S) using the formulas:

M = (M only) + (M ∩ S)

S = (S only) + (M ∩ S)

Step 5: Calculate the values for (M) and (S) and fill in the Venn diagram accordingly.

Step 6: To find the number of students who passed in Science only, we subtract (M ∩ S) from (S):

(S only) = S - (M ∩ S)

Step 7: To find the number of students who passed in Mathematics only, we double the value of (S only):

(M only) = 2(S only)

Step 8: To find the number of students who passed in only one subject, we sum up (M only) and (S only):

Only one subject = (M only) + (S only)

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