An object moving at speed s for time t travels distance st. The Brown family is taking a road trip. This morning, they drove for 2. 5 hours at a speed of 65 miles per hour. How far did the family drive this morning?
Write your answer as a whole number or decimal

Answer:

\(x = \frac{16}{19}\)

Step-by-step explanation:

\(3 (6x-5) - x = 3 -2(x + 1) \\ 18x - 15 - x = 3 - 2x - 2 \\ 19x = 16 \\ \boxed{x = \frac{16}{19} }\)

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Answer:

Second choice, 3

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + b^2 = 5^2

16 + b^2 = 25

b^2 = 9 (square root both sides)

b = 3

Answer:

160

Step-by-step explanation:

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Answer:

160

Step-by-step explanation:

20/100 × 800

= 160

hope it helps

The vector MN in terms of A and C, where ABCD is a parallelogram, M is the midpoint of CB, and N is the midpoint of AB, is given by (C - A)/2.

Let's consider the points A, B, C, and D in the parallelogram ABCD. We are given that M is the midpoint of CB and N is the midpoint of AB. Since M is the midpoint of CB, we can express the vector CM as CM = (C + B)/2. Similarly, since N is the midpoint of AB, we can express the vector AN as AN = (A + B)/2.

Now, to find the vector MN, we subtract the vector AN from the vector CM: MN = CM - AN. Substituting the expressions for CM and AN, we get:

MN = (C + B)/2 - (A + B)/2

  = (C - A)/2.

Therefore, the vector MN in terms of A and C is (C - A)/2. This means that to obtain the vector MN, we take the difference between the vectors C and A and divide it by 2.

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The final answer is 8013.996 with 6 significant figures. In scientific notation, the answer is 8.013996 × 10³.

a) 7987.34 + 23.456 - 7.8

1. Addition: 7987.34 + 23.456 = 8020.796

The number of significant figures in 8020.796 is 6, which is the same as the number of significant figures in 7987.34 (the number with the least significant figures).

2. Subtraction: 8020.796 - 7.8 = 8013.996

The number of significant figures in 8013.996 is 6, which is the same as the number of significant figures in 8020.796 (the number with the least significant figures).

Hence, the final answer is 8013.996 with 6 significant figures. In scientific notation, the answer is 8.013996 × 10³.

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The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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The triangle with sides 40m, 50m, 60m is not a right angled triangle .

Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

Pythagoras' theorem :

\(Hypotenuses ^{2} = Perpendicular^{2} + Base^{2}\)

According to the question

Sides of triangle are 40m, 50m, 60m

As hypotenuses is the largest side

Applying Pythagoras' theorem

\(Hypotenuses ^{2} = Perpendicular^{2} + Base^{2}\)

\(60 ^{2} = 40^{2} + 50^{2}\)

3600 ≠ 1600 + 2500  

3600 ≠ 4100

Hence, The triangle with sides 40m, 50m, 60m is not a right angled triangle ,

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In order to determine if there is inconsistency, the data collected from the three instructors would need to be compared and analyzed. Without further information or analysis, it is difficult to determine if there is inconsistency in the grading.

To answer your question, we first need to analyze the data provided for the grade distribution of the three instructors. Unfortunately, you haven't provided any data in your question. However, I can guide you through the process of assessing consistency using the given terms: conducted, assess, and consistency.

Step 1: The university conducted a study on the grade distribution of a multi-section basic statistics course taught by three instructors.

Step 2: To assess consistency in grading, we need to compare the grade distributions of the three instructors. You can use a variety of statistical methods to make this comparison, such as descriptive statistics (e.g., mean, median, and standard deviation), visual representations (e.g., boxplots or histograms), or inferential statistics (e.g., ANOVA or chi-square tests).

Step 3: After analyzing the data, you can determine whether there is any inconsistency in grading among the three instructors. If the grade distributions are similar, it suggests consistency in grading. However, if the distributions differ significantly, it may indicate grading inconsistency.

Remember, to provide a specific answer, we would need the actual data on grade distribution for the three instructors. Once you have that data, you can follow the steps mentioned above to assess the consistency of grading in the course.

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Answer:

Area of the fabric = 175 square inches

Step-by-step explanation:

Area of a trapezoid = (b1 + b2)/2 * h

Where,

b1 = 16 inches

b2 = 9 inches

h = 14 inches

Area of a trapezoid = (b1 + b2)/2 * h

= (16 + 9)/2 * 14

= 25/2 * 14

= 12.5 * 14

= 175 square inches

Area of the fabric = 175 square inches

Answer:

Y=16

Step-by-step explanation:

Becasue if you substitute 2 in for x, you get 8 times 2=16

Answer:

y=8 and

x=2

If x=2, then

8x=8*2=16

so therefore , y=8x i.e 16

y=16

SIMPLE AS THAT !!

Step-by-step explanation:

The answer is -9 I think if it's not then srr

Answer: x=-9

Step-by-step explanation:

3+5x=4x-6

  -4x  -4x

3+x=-6

-3     -3

x=-9

Answer:

Steps For Solving Real World Problems

2. Highlight the important information in the problem that will help write two equations.

3. Define your variables.

4. Write two equations.

5. Use one of the methods for solving systems of equations to solve.

6. Check your answers by substituting your ordered pair into the original equations.

Answer:

First, the two equations using two variables need to be written to represent the situation. Then the equations can be graphed. Find the point of intersection of the two linear functions. Match each value to the corresponding variable to interpret the solution.

It will take approximately 23.1 weeks for the ant population to double.

To find out how long it will take for the ant population to double, we need to use the formula for exponential growth, which is:

N = N0(1+r)^t

Where N is the final population, N0 is the initial population, r is the growth rate, and t is the time it takes for the population to reach N.

In this case, we know that N0 is 4,000, r is  3 percentage per week (or 0.03), and we want to find out t when N is double the initial population, or 8,000.

So, we can plug in these values into the formula:

8,000 = 4,000(1+0.03)^t

Dividing both sides by 4,000, we get:

2 = (1+0.03)^t

Taking the natural logarithm of both sides, we get:

ln(2) = t ln(1.03)

Dividing both sides by ln(1.03), we get:

t = ln(2) / ln(1.03)

Using a calculator, we find that t is approximately 23.1 weeks.

Therefore, it will take approximately 23.1 weeks for the ant population to double.

In summary, the ant colony has a population size of 4,000 ants and is increasing at a rate of 3% per week. To find out how long it will take for the ant population to double, we used the formula for exponential growth and found that it will take approximately 23.1 weeks.
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The system of linear equation that represent this problem is

6x + 10y = 900

10x + 4y = 1220

Let's represent the number of CDs Roberto bought as x and the number of magazines as y

The problem states the following information:

Using the variables;  x and y as given;

1. Roberto bought 6 CDs and 10 magazines for $900.00 pesos. This can be represented as the equation:

  6x + 10y = 900

2. María bought 10 CDs and 4 magazines for $1,220.00 pesos. This can be represented as the equation:

  10x + 4y = 1220

So, the system of equations representing the problem is:

6x + 10y = 900

10x + 4y = 1220

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Translation: Roberto bought 6 cd's and 10 magazines for $900.00 pesos; In the same store, her friend María bought 10 CDs and 4

magazines at $1,220.00 pesos. What is the system of equations with two unknowns that represents the problem?

Answer:

9°C

Step-by-step explanation:

Given that :

Temperature at 6:00 = - 3°C

The change in temperature by midday = temperature rise of 12°C

The temperature at midday is :

Temperature at 6:00 + change in temperature

-3°C + 12°C

= 9°C

Answer:

5.97 ● 10^24 in standard form is: 5.97⋅10^24

Step-by-step explanation:

Applying the triangle midsegment theorem, the length of segment TU = 100 units.

If a line connects the midpoints of two sides of a triangle, it is parallel to the third side, and according to the triangle midsegment theorem, it has a length that is half the measure of the third side of that triangle.

Given the triangle, TUV, where:

Segment TU is a third side to the midsegment HD = 50 units.

Thus, apply the triangle midsegment theorem to find the length of segment TU.

HD = 1/2(TU)

Substitute:

50 = 1/2(TU)

2(50) = TU

100 = TU

TU = 100 units

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Answer:

12 cups of pineapple juice for 16 cups of ginger ale.

Step-by-step explanation:

4+4+4+4= 16

3+3+3+3= 12

Answer:

678.58 cubic inches

Step-by-step explanation:

V = π · r^2 · h = π · 3^2 · 24 ≈ 678.584 simplifies to = 678.58

1. Three examples of situations where consistency is important:

Healthcare: when treating patients, healthcare providers must follow consistent procedures and protocols to ensure that every patient receives the same level of care.

Financial transaction: when making financial transactions, it is important to follow regular security rules to prevent fraud.

Support rules: Adherence to consistent rules and regulations in sports is essential to ensure fair play and the safety of all participants.

2. The number 0 is important in mathematical systems because it represents the absence of a number and serves as a placeholder. Without zero, our mathematical system would be affected in many ways. For example, writing the number 100 would be difficult without the zero. Without the invention of zero, progress in mathematics would have been delayed.

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Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

Answer:

tổng các góc của tứ giác bằng 360 độ

Step-by-step explanation:

ha? what language is that?

On solving the provided question, we can say that by addition T = 60 + 42 / 2 = 51

The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.

value is   = T = 51 inches

by addition

T = 60 + 42 / 2 = 51

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The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Step-by-step explanation:

15+62+23 would equal 100

Answer:

The standard form of the given equation is y(x) = 2x² - 12x + 9.

Step-by-step explanation:

To rewrite the equation y(x) = 2(x-3)² - 9 in standard form, we need to expand the square term (x-3)², simplify the expression, and arrange the terms in descending order of degree.

First, we can expand the square term using the formula (a-b)² = a² - 2ab + b². In this case, a = x and b = 3, so we have:

\(\begin{aligned}\sf:\implies (x-3)^2& =\sf x^2 - 2(3)x + 3^2\\& =\sf x^2 - 6x + 9\end{aligned}\)

Substituting this expression into the original equation, we get:

\(\sf:\implies y(x) = 2(x^2 - 6x + 9) - 9\)

Next, we can simplify the expression by distributing the 2:

\(\sf:\implies y(x) = 2x^2 - 12x + 18 - 9\)

\(\sf:\implies y(x) = 2x^2 - 12x + 9\)

Finally, we can rearrange the terms in descending order of degree (highest power of x first):

\(\sf:\implies y(x) = 2x^2 - 12x + 9\)

Therefore, the standard form of the given equation is y(x) = 2x² - 12x + 9.

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