The equivalent decimal number will be 15.25.
What is Decimal number?
A decimal number is a number that consists of a whole and a fractional part.
Given that;
The number is,
⇒ 15 1/4
⇒ 61 / 4
Now,
Solve the number in decimal form as;
The number is,
⇒ 15 1/4
⇒ 61 / 4
⇒ 61 ÷ 4
After divide we get;
⇒ 61 ÷ 4 = 15.25
Thus, The equivalent decimal number will be 15.25.
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Which of the following best represents the average speed of a fast runner? (1 point) 10 meters per second 10 miles per minute 10 centimeters per hour 10 kilometers per second
Answer:
10 meters per second
Step-by-step explanation:
Great question, it is always good to ask away and get rid of any doubts that you may be having.
The best representation would be 10 meters per second. Usain Bolt, The fastest person person alive runs at approximately 12.5 meters per second.
10 miles per minute would be insanely fast. That is equivalent to 600 miles per hour, no human can run at that speed. Cars do not even reach that speed. Same goes for 10 kilometers per second.
10 centimeters per hour is incredibly slow. Although 470 times faster than a snail it is incredibly slow for a human.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
What is the algebraic description for a transformation that translates the point (x,y) nine units to the right and five units down?
An algebraic description of the transformation that translates a point (x, y) nine units to the right and five units down is written as the new point (x + 9, y - 5).
The algebraic description of a transformation that translates a point (x, y) nine units to the right and five units down can be written as the following ordered pair: (x + 9, y - 5).
In this transformation, the x-coordinate of each point is increased by 9 units, reflecting a horizontal translation to the right, and the y-coordinate is decreased by 5 units, representing a vertical translation downwards. Thus, if you have a point (x, y), after the transformation, it becomes (x + 9, y - 5).
For example, if your initial point is (3, 4), after the transformation it would be at (3 + 9, 4 - 5) = (12, -1).
Simplify the expression.
55−4⋅5+12
Expression after the simplification is 62.5.
What is an expression?In mathematics, expression is the combining of variables with the application of operations and prescribed rules. It could take the shape of an equation, some numbers, etc.
Given, expression
55 - 4.5 +12
Simplifying,
first, add the numbers.
55 - 4.5 +12
= 67 - 4.5
= 62.5
Hence, the value of the expression is 62.5.
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Number 16. Solve the problem. Correct answer will get brainliest
Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
"The perimeter of a swimming pool is 126 feet. The difference between the length (x) and width (y) of the pool is 39 feet. What are the dimensions of the pool?"
I'm supposed to figure this out using substitution but I'm not sure how, and any help at all is appreciated!
The dimensions of the swimming pool are 51 feet (length) and 12 feet (width), determined by setting up equations based on the given information (perimeter and difference between the sides) and solving these equations using substitution.
Explanation:The problem at hand is a classic algebraic word problem. It involves determining the length (x) and width (y) of a swimming pool given the perimeter and the difference between the length and width. The formulas we'll use are for the perimeter of a rectangle (2x + 2y = perimeter) and a given equation based on the description (x - y = difference).
Step-by-step Solution
From the question, we know the perimeter of the swimming pool is 126 feet. We express this using the perimeter formula: 2x + 2y = 126. Likewise, we know the difference between the length and the width is 39 feet. This can be expressed as: x - y = 39. We want to use substitution to solve these equations. This means, we need to isolate one of the variables in the second equation. Let's isolate x by rewriting the second equation as: x = y + 39. Now, we can substitute (y + 39) for x in our perimeter equation: 2(y + 39) + 2y = 126. This simplifies to: 4y + 78 = 126. Solving for y, we get: y = 12 feet. Substitute y = 12 into our isolated equation from step 3, we get x = 12 + 39 = 51 feet.
So the dimensions of the swimming pool are 51 feet (length) and 12 feet (width).
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Use geometry to evaluate the integral from 0 to 6 of the function f of x, dx for f of x equals 3 for x less than or equal to 3 and equals the quantity 6 minus x for x greater than 3.
27
13.5
12
10.5
Final answer:
To evaluate the given integral, split the function at x = 3 and integrate separately. The integral evaluates to 18, which makes the correct answer 18.
Explanation:
The function we're integrating is 1, which makes this the same integral as the one in example 3 on p. 178. To evaluate this integral, we need to split it at x = 3 and integrate the corresponding functions separately.
For x ≤ 3, the function is f(x) = 3. So, the integral from 0 to 3 of 3 dx equals 9.
For x > 3, the function is f(x) = 6 - x. Integrate this from 3 to 6: ∫(6 - x) dx = 6x - 0.5x^2. Evaluating this from 3 to 6 gives 9.
things you cant assume from a diagram
Solve for the variable: x – 2.8 = 1.6
3.4
-1.2
2.3
4.4
What is the runner’s average rate of change between the hours: 0.5 and 2? mph 1.5 and 2.5? mph Average Rate of Change
Answer:
4mph
5mph
slower
Step-by-step explanation:
i did it
To calculate the average rate of change, divide the total change in distance by the total change in time. Without the specific distance covered in the given durations, it's impossible to provide absolute answers, but an example calculation has been given using an average speed of 9.5 mph.
Explanation:In your question, the average rate of change refers to the change in distance with respect to time, also known as velocity or speed. Since there are no concrete values mentioned in your question for the distances covered by a runner between time 0.5 and 2 hours, and 1.5 to 2.5 hours, it would be impossible to provide an accurate answer without such data.
However, allow me to explain how you could calculate these values. If you assume that a runner has the marathon runner's average speed of 9.5 miles per hour, then the average rate of change, or average speed, over a certain time period is just the total change in distance divided by the total change in time. For instance, if the runner covered 9.5 miles between 0.5 and 2 hours, then the average rate of change would be 9.5 miles per 1.5 hours, or approximately 6.33 mph. This same method would apply to calculations between 1.5 and 2.5 hours.
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Determine the sign of cos pi divided by seven without using a calculator.
Tickets to friday's football game are $5.50 for adults and $4.50 for students. if the school pre-sold 25 tickets for $124.50, how many adult and student tickets were purchased?
Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.
k = ______
Can you explain how to figure this out?
Kyle has 125 marbles. Fifty of these marbles are red and the rest are other colors. What is the ratio of the number of red marbles to the total number of marbles expressed in simplest terms?
Answer:
2/5
Step-by-step explanation:
its asking in "simplest terms" so you would divide the number of marbles Kyle has by the 50 red marbles. 125 divide by 50 is 2.5 which equals to 2/5.
So 2/5 will be your answer. Hope this helps <3
Ollie is catering a dinner party for more than 26 guests. Each guest has a choice between a vegetarian dinner or a steak dinner. The vegetarian dinner is $20 per plate and the steak dinner is $30 per plate. Ollie can spend no more than $690 on the entire party. If Ollie wants to purchase the most amount of food and still stay within budget, which combination of vegetarian and steak dinners is optimal?
Gustavo and Aiden are walking due west through the forest when they happen upon an angry grizzly bear. Gustavo runs away 2 3 23 ∘ 23, degree north of east for 3 0 0 300m300, space, m, and Aiden runs away 3 3 33 ∘ 33, degree south of east for 2 5 0 250m250, space, m. How far are Gustavo and Aiden away from each other?
We can actually solve this problem using the cosine law. We know that Gustavo ran 23° above the horizontal, while Aiden ran 33° below, hence the total angle between them is 56°. Therefore the distance between them is:
c^2 = a^2 + b^2 – 2 a b cos θ
c^2 = (300)^2 + (250)^2 – 2 (300) (250) cos 56
c^2 = 68,621.06
c = 262 m
They are 262 meters apart.
Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal. So, they are 262 meters apart.
What is a cosine law?Cosine law is a formula relating the length of the sides of a triangle to the cosine of one angle of the triangle.
Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
The total angle between them = 23 + 33 = 56°.
Let the distance between them be c. by using cosine law we have,
c² = a² + b² – 2ab cos θ
Where a and b are distances traveled by Gustavo and Aiden. θ is the angle between them.
Therefore,
[tex]c^2 = a^2 + b^2 - 2 a b cos \theta[/tex]
[tex]c^2 = (300)^2 + (250)^2 -2 (300) (250) cos 56[/tex]
[tex]c^2 = 68,621.06[/tex]
c = 262 m
Thus, the distance between them is 262 meters.
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How do you find the answer for 7x-(3x+8)
HELP WITH SOLVING SYSTEMS WITH THREE VARIABLES, WILL MEDAL
-2x + 2y +3z = 0
-2x - y + z = -3
2x + 3y + 3z = 5
I'm not sure how to work it out, I have to do it by elimination
Four consecutive integers that total -86
Each small square on the grid is 1 ft².
Which estimate best describes the area of this figure?
25 ft²
35 ft²
50 ft²
65 ft²
see the attached figure to better understand the problem
we know that
the area of the figure is the area of the square minus the areas marked with x
area of the square is equal to
[tex]A1=8*8=64\ ft^{2}[/tex]
the areas marked with x is equal to
[tex]A2=15\ ft^{2}[/tex]
so
the area of the figure is
[tex]A=A1-A2 \\ A=64-15=49\ ft^{2}[/tex]
therefore
the answer is
[tex]50\ ft^{2}[/tex]
Answer: here is the k12 test answer
Step-by-step explanation:
Which of the following equations is an example of a direct variation?
x + 2y = 6
x = 4
y = 3
y = 3.14 x
Answer:
Step-by-step explanation:
y=3.14x
The sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each. if they took in a total of $1,200, which system of equations can be used to find x, the number of student tickets sold, and y, the number of adult tickets sold
Answer:
Step-by-step explanation:
Given that the sophomore class sold a total of 700 adult and student tickets to the school play. adult tickets sold for $4.50 each, and student tickets cost $2.00 each.
Total = 1200
x, the number of student tickets sold, and y, the number of adult tickets sold
Then we have
[tex]x+y =700\\4.5x+2y = 1200[/tex]
These are the system to solve for x
What is true about the functional relationship shown in the graph ?
Answer: C. The amount earned is a function of the number of hours worked.
Explanation:
Since, a function is always the type of y= f(x), where x is independent variable and y is dependent variable which is dependent on the value of x.
Here, a graph of Olivia's earning per hour is given.
Since, it is the obvious thing that the earning will depend on hours she works.
Thus, we can say that earning is dependent variable while hours is independent variable.
Therefore, earning makes the y-axis and number of hours makes the x-axis.
So, option C is correct.
The composition is performed on . What are the coordinates of B'' and C''?
What is the mathematical sentence for 7 is subtracted from a number y. then the result is multiplied by 3. the final answer is less than or equal to 12?
The total area or NC is 53,800 square miles. Land accounts for 48800 square miles. What percent of North Carolina is covered in water?
9.3% of North Carolina is covered in water.
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
To find the percent of North Carolina covered in water, we need to subtract the land area from the total area, and then express the result as a percentage.
The water area is:
53,800 - 48,800 = 5,000 square miles
To express this as a percentage, we need to divide the water area by the total area and then multiply by 100:
(5,000 / 53,800) x 100 = 9.3%
Therefore, 9.3% of North Carolina is covered in water.
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Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?
Answer:
[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]
Step-by-step explanation:
find the product of 100,000 and 1,000,000 using scientific notation
All whole numbers have a decimal point at the end
convert each number into scientific notation. To get scientific notation move the decimal point after 1
100000. -----> 1.00000 ----> 1* 10^5 ----> 10^5
1000000. -----> 1.000000 ----> 1* 10^6 ----> 10^6
a^m * a^n = a^m+n
[tex]10^5 * 10^6 = 10^{5+6} = 10^{11}[/tex]
Ohhhhh! I have a math Brainliest
70/b+5a-2b
Evaluate the expression when a=3 and b=10
which would not be a step in solving 5x + 15 + 2x = 24 + 4x?
A. Isolate the variable.
B. Collect variable terms on one side.
C. Collect like terms.
D. Use the distributive property.
The step that would not be necessary in solving 5x + 15 + 2x = 24 + 4x is D. Use the distributive property.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
To solve the equation 5x + 15 + 2x = 24 + 4x, we need to simplify and manipulate the equation to isolate the variable on one side.
First, we can combine like terms:
5x + 2x - 4x = 24 - 15
3x = 9
Then, we can isolate x by dividing both sides by 3:
x = 3
Therefore, the correct steps to solve this equation are:
B. Collect variable terms on one side.
C. Collect like terms.
A. Isolate the variable.
We do not need to use the distributive property in this problem.
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