Lincoln drove 155 miles in 5 hours. On average, how fast did he drive in miles per hour?

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The probability of spinning two greens on the spinner is 1/16.

To find the probability of spinning two greens on the spinner, we need to determine the probability of spinning a green on the first spin and then the probability of spinning another green on the second spin. Since there are 4 equal sections on the spinner and one of them is green, the probability of spinning a green on the first spin is 1/4.

After the first spin, assuming the spinner is put back to its original state, the probabilities for each section remain the same. Therefore, the probability of spinning a green on the second spin is also 1/4.

To find the probability of both events happening (spinning two greens), we multiply the probabilities together:

P(spinning two greens) = P(green on first spin) * P(green on second spin)

= (1/4) * (1/4)

= 1/16

Therefore, the probability of spinning two greens on the spinner is 1/16.

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Answer: its C i got it right :)

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

\(\frac{(a+b)*h}{2}\\\\\)  = 120

\(\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120\)

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

Step-by-step explanation:

Part A):  h * d.

Part B): She Earns 10.75 x 22 1/2 which is 241 7/8, or 241.675

The two values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

What is a Quadratic equation ?

A second-degree equation of the form ax² + bx + c = 0 is known as a quadratic equation in mathematics. Here, x is the variable, c is the constant term, and a and b are the coefficients. Since x is a second-degree variable, this quadratic equation has two roots, or solutions.

The given expression is ,

2x²– 11x + 15 = 0

Solve the equation and find roots

2x² - 6x - 5x + 15 = 0

Take common elements out

2x(x - 3) - 5(x - 3) = 0

we get the brackets same that means we're on right way,

(2x - 5) (x - 3) = 0

split the values into two and find values,

2x - 5 = 0            and        x - 3 = 0

2x = 5                               x = 3

x = 5 / 2

Hence, the  values of x is x = 3 and x = 5/2 of the equation 2x²– 11x + 15 = 0 i.e, the option(a) and option(d)

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Answer:

B. 70

Explanation:

A total of 182 pairs of jeans and shorts were sold and the number of shorts sold was 28 fewer than twice the number of jeans. This can be expressed with j being the number of jeans as:

j2 - 28 = number of shorts

As the number of shorts is 28 lower than twice the number of jeans, this means it can not be C or D, as these numbers are larger than 182 when doubled. The process of elimination can be done with the remaining using our equation.

51(2) - 28 = 102 - 28 = 74
70(2) - 28 = 140 - 28 = 112

Now that we have the number of shorts sold by using the equation, we can add them with what number was used as their number of jeans.

74 + 51 = 125
112 + 70 = 182

So the number of jeans sold is B. 70.

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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The monthly payment for the car loan is approximately 16,216.38 pesos. The outstanding balance after 2 years is approximately 650,577.85 pesos.

To find the monthly payment for the car loan, we can use the formula for the monthly payment on a loan:

P = (r * PV) / (1 - (1 + r)^(-n))

Where:

P is the monthly payment

r is the monthly interest rate

PV is the loan amount (present value)

n is the total number of payments

In this case, the loan amount PV is 800,000 pesos, the monthly interest rate r is 7% / 12 (since the interest is compounded monthly), and the total number of payments n is 5 years * 12 months/year = 60 months.

Substituting these values into the formula, we have:

P = (0.07/12 * 800,000) / (1 - (1 + 0.07/12)^(-60))

Calculating this expression, we find that P ≈ 16,216.38 pesos.

So, the monthly payment for the car loan is approximately 16,216.38 pesos.

To find the outstanding balance after 2 years, we need to calculate the remaining balance after making monthly payments for 2 years. We can use the formula for the remaining balance on a loan:

Remaining Balance = PV * (1 + r)^n - P * ((1 + r)^n - 1) / r

Where:

PV is the loan amount (present value)

r is the monthly interest rate

n is the number of payments made

Substituting the given values into the formula, we have:

Remaining Balance = 800,000 * (1 + 0.07/12)^24 - 16,216.38 * ((1 + 0.07/12)^24 - 1) / (0.07/12)

Calculating this expression, we find that the outstanding balance after 2 years is approximately 650,577.85 pesos.

So, the outstanding balance after 2 years is approximately 650,577.85 pesos.

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Answer:

x=2 or x= -2

Step-by-step explanation:

x^2 - 4 = 0

x ^2  − 4  +  4  =  0 + 4  

x^2 = 4

√ ( x ^2 ) = √ 4

=  ±  2  =  { x 1 = − 2

              x 2 = 2

Answer:

X=2 or X=-2

Step-by-step explanation:

x^2 - 4 = 0

x ^2  − 4  +  4  =  0 + 4  

x^2 = 4

√ ( x ^2 ) = √ 4

=  ±  2  =  { x 1 = − 2

             x 2 = 2

Answer:

8

Step-by-step explanation:

(Refer to picture)

Plug in the value of A and the value of B into the expression

Answer:

0.5 is greater

Step-by-step explanation:

by how much?

subtract 0.5 and 0.48

0.5-0.48=0.02

0.5 is greater than 0.48 by 0.02 units

hope this helped have a great day.

The left circle represents isosceles triangles.

An isosceles triangle is described as  a triangle that has two sides of equal length.

In the area of the organizer where the circles meet, an isosceles and obtuse triangle would be appropriate

A triangle is also described as  a three-sided geometric shape whose internal angles added together shouldn't be greater than 180°.

We should note that the two sides and the two sharp angles of an isosceles right triangle are equal.

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Answer:

$45.70

Step-by-step explanation:

$9.40 four times and $8.10 1 time so 9.40 x 4 = 37.6 + 8.10 = 45.70

The allowable is a term used in advertising and marketing to refer to the maximum cost per acquisition (CPA) that a business can afford to pay. So, the given statement is False.

"The allowable" is a term used in advertising and marketing to refer to the maximum cost per acquisition (CPA) that a business can afford to pay to acquire a customer while still remaining profitable. It is not directly related to the conversion rate needed to break even.

To determine the conversion rate needed to break even, you would need to consider the cost of acquiring a customer, the profit margin on the product or service being sold, and the total revenue generated by each customer. This calculation can help determine the minimum conversion rate needed to achieve profitability.

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Answer:

47%

Step-by-step explanation:

Percentage of success = 94/200 * 100

= 94/2

= 47%

Answer:

hi how are you doing luck finding your answer

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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Let the "number" in these statements be x

2x + 8 = 8

2x = 0

x = 0

7 - 3x = 40

-3x = 33

x = -11

Based on the VSEPR approach, the dot structure with the smallest XAX bond angle would be the one with the greatest number of lone pairs on the central atom.

This is because lone pairs occupy more space than bonded atoms and cause greater repulsion, leading to a smaller bond angle. Therefore, the dot structure with the smallest XAX bond angle would be the one with the most lone pairs on the central atom.

In general, lone pairs do indeed exert greater repulsion compared to bonded pairs because they occupy more space around the central atom and are closer to the central atom. However, it is not always true that the dot structure with the greatest number of lone pairs on the central atom will have the smallest XAX (bonded pair-bonded pair) bond angle.

The bond angles in a molecule are also influenced by the number of bonded atoms around the central atom and their positions in three-dimensional space.

For example, in a molecule with three bonded atoms and one lone pair (AX3E), the lone pair will be positioned in a way that minimizes repulsion with the bonded atoms, resulting in a larger bond angle compared to a molecule with only bonded atoms (AX3). On the other hand, in a molecule with two bonded atoms and two lone pairs (AX2E2), the bond angle may be smaller due to the repulsion between two lone pairs.

So, while it is true that lone pairs generally cause greater repulsion and can affect the bond angles in a molecule, it is not solely dependent on the number of lone pairs. The bond angles are also influenced by the number of bonded atoms and their arrangement around the central atom, following the principles of VSEPR theory.

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Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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The number 1.368 is approximately 2 more than its cube.

To find a real number that is exactly 2 more than its cube, we can set up the equation:

x = x^3 + 2

Rearranging the equation, we have:

x^3 - x + 2 = 0

To find the solution to this equation, we can use numerical methods such as Newton's method or trial and error. Applying trial and error, we can find one such value accurate to three decimal places:

x ≈ 1.368

If we substitute this value into the equation x = x^3 + 2, we get:

1.368 ≈ (1.368)^3 + 2

1.368 ≈ 2.001

The number 1.368 is approximately 2 more than its cube.

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Answer:

-2, -1

Step-by-step explanation:

Answer:The answer the the riddle is GETOUTOFTHEWAY!

Step-by-step explanation:

look at the picture

Answer:

area: 20 i think

perimeter: 18

pic below

out of 12 students to enroll should you expect to be graduate students will be 6.

What is unitary technique?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units?

Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

A university class has had 8 graduate students enroll so far, as well as 8 other students.

The total number of students = 16

Total graduate students = 8

8/16 * 12 = 6

So, out of 12 students to enroll should you expect to be graduate students will be 6.

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The question is an illustration of scale drawing

The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point

The distance on the map are given as:

A =2 cm

B = 8 cm

C = 7 cm

The total distance on the map would be:

\(Total =2cm + 8cm + 7cm\)

\(Total =17cm\)

The actual distance between the store and the dungeon is 4 kilometers.

This means that:

\(B' =4km\)

So, we have:

\(Scale = B : B'\)

\(Scale = 8cm : 4km'\)

Represent the required actual distance with x.

So, we have:

\(17cm : x = 8cm : 4km\)

Express as fraction

\(\frac{x}{17} = \frac 48\)

Multiply both sides by 17

\(x = \frac 48 * 17\)

\(x = 8.5\)

Hence, the actual distance travelled is 8.5 km

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Answer: Part-to-part

Step-by-step explanation:

This is a part-to-part, because they show part of apples, and part of oranges. This ratio when set up is 4:3. If the ratio was part-to-whole, then the apples would be compared to the total amount of oranges and apples. The ratio for part-to-whole would be 4:7.

Hope this helps!

Using dimensional analysis, In order to pack 288 eggs, the student would require 24 cartons.

How to find?

To find out how many cartons the student would need to pack 288 eggs, we can use dimensional analysis.

We want to find:
- The number of cartons needed to pack 288 eggs.

To solve this, we can set up a proportion:

12 eggs / 1 carton = 288 eggs / x cartons

Cross-multiplying, we have:

12x = 288

Now, divide both sides of the equation by 12:

x = 288 / 12

Simplifying, we get:

x = 24

Therefore, the student would need 24 cartons in order to pack 288 eggs.

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Using dimensional analysis, we can determine that the student would need 24 cartons to pack 288 eggs.

To determine the number of cartons needed to pack 288 eggs, we can use dimensional analysis.
Step 1: Identify the given information and the conversion factor.
Given:
- 288 eggs
Conversion factor:
- 1 dozen = 12 eggs
Step 2: Set up the dimensional analysis equation.
We can set up the equation as follows:
288 eggs x (1 dozen/12 eggs) = ?
Step 3: Perform the calculation.
To solve the equation, we can cancel out the "eggs" unit and calculate the number of dozens:
288 eggs x (1 dozen/12 eggs) = 24 dozens
Step 4: Interpret the result.
Therefore, the student would need 24 cartons to pack 288 eggs.

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