Final Answer:
The equivalent fraction for the given model with colored pieces representing parts of the whole is 3/4.
Explanation:
In the provided model, there are three colored pieces out of a total of four. To determine the equivalent fraction, we look at the ratio of the colored pieces to the total number of pieces. Since there are three colored pieces and four pieces in total, the equivalent fraction is 3/4. This fraction represents the relationship between the colored parts and the whole, where the numerator (3) indicates the number of colored pieces, and the denominator (4) represents the total number of pieces in the model.
The process of finding equivalent fractions involves identifying a fraction that represents the same part-to-whole relationship. In this case, we can simplify the fraction by dividing both the numerator and denominator by their greatest common factor. However, in this instance, 3/4 is already in its simplest form, as 3 and 4 do not have a common factor other than 1. Therefore, the equivalent fraction remains 3/4.
Understanding fractions is essential in various mathematical concepts and real-world applications. They represent parts of a whole and are crucial in areas such as geometry, probability, and everyday calculations. In this scenario, the fraction 3/4 precisely captures the proportion of colored pieces in the given model, providing a clear and concise representation of the relationship between the highlighted elements and the entirety of the model.
WILL MARK BRANLIEST! 100 POINTS!
Answer:
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
g(x)=9
Step-by-step explanation:
use a vertical line to determine what the y value is for g(x)
3. What is the area of the parallelogram below?
40.
Step-by-step explanation:
Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.
−6x−3(x−2)
PLEASE HELP
Answer:
-9x + 6
Step-by-step explanation:
-6x−3(x−2)
Solution:
-6x−3(x−2)
-6x−3x+6
-9x + 6
Use the definition of continuity and the properties of limits to show that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3
Answer:
See below.
Step-by-step explanation:
First check that f(x) has a real value at x = 3:
f(3) = 3^2 + 5(3 - 2)^7
= 9 + 5 * 1^7
= 14,
So the first condition is met.
Now we check if limit as x approaches 3 exists.
As x approaches 3 from below f(x) approaches 14 and at x = 3 = 14.
As x approaches 3 from above f(x) approaches 14 and at x = 3 = 14.
These 3 conditions shows that f(x) is continuous at x = 3.
The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 because it meets all the conditions of continuity: it is defined at x = 3, the limit of the function as x approaches 3 exists, and the limit equals the function's value at x = 3.
Explanation:The function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3 if it satisfies the following three properties: the function is defined at x = 3, the limit of the function as x approaches 3 exists, and the function value at x = 3 is equal to the limit as x approaches 3.
Step 1
The function is defined at x = 3. When we substitute x = 3, we get f(x) = 3^2 + 5(3 - 2)^7= 9 + 5*1^7 = 14.
Step 2
The limit of the function as x approaches 3 exists. As x approaches 3 from both the left and right sides, the function takes the value 14.
Step 3
Finally, the limit as x approaches 3 is equal to the function's value at x = 3. In other words, the limit is 14, which is equal to the function's value when x = 3 (which is also 14).
Since the function satisfies all these conditions, we can say that the function f(x) = x^2 + 5(x - 2)^7 is continuous at x = 3.
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English
TIME REMAINING
56:59
A piece of carpet is 8 feet wide and 12 feet long. The carpet needs to be reduced by a scale factor so that the reduced carpet
is 2 feet wide. What is the area of the reduced carpet?
O 6 square feet
O 12 square feet
O 24 square feet
O 48 square feet
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Submit
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Mark this and return
Answer:
6 square feet
Step-by-step explanation:
Carpet has w= 8 ft and l = 12 ft
Reduced carpet has w' = 2 ft
Reduction factor is
8/2 = 4Then
l' = l/4 = 12/4 = 3 ftArea of small carpet
S = 2*3 = 6 ft²Very Simple 1st to get a right answer gets Brainliest!!
The coordinates of the community center are (−5, −1). Who has a house in the same quadrant as the community center?
Dan
Joe
Lee
Roy
Answer:
Lee's house.
Step-by-step explanation:
Plot (-5, -1) on a graph and Lee's house is the closest and in the same quadrant.
Answer: LEE
Step-by-step explanation:
because its a negative and a negative.
(4-2)^3-3x4 what is the answer
Answer:
-4.
Step-by-step explanation:
I am assuming that x means times here.
(4-2)^3-3x4
= 2^3 - 12
= 8 - 12
= -4.
Solve for x to the nearest degree (34.3 = 34)
Answer:
48°
Step-by-step explanation:
We can solve this using our knowledge on tangents of an angle. Remember, tangents are the opposite leg divided by the leg adjacent to that angle.
This means the tangent of x° = [tex]\frac{10}{9}[/tex]. Now that we know the tangent ratio, we can find the angle with inverse trigonometric ratios. These kinds of ratios give us the opposite of the tangent - which would lead to the angle measure we're looking for. The equation would look like this:
[tex]x = arctan (\frac{10}{9})[/tex]
Using a calculator, the answer would be:
[tex]x = 48.0128[/tex]
Rounding this to the nearest degree would give us 48° as our answer! I hope this was clear enough.
The Lewis family is building a circular swimming pool if the radius of the pool is 9 feet what is it’s circumference use TT =3.14 to solve
51.62
56.52
61.52
66.42
Answer:
C =56.52 ft
Step-by-step explanation:
The circumference is found by
C = 2*pi*r where r is the radius
C = 2*3.14 * 9
C =56.52 ft
Which cylinder has the greatest volume?
O a cylinder with a height of 9 cm and a radius of 9
cm
a cylinder with a height of 12 cm and a radius of 6
cm
a cylinder with a height of 6 cm and a radius of 12
cm
a cylinder with a height of 15 cm and a radius of 3
cm
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
I did it on the assignment
Answer:
The answer is C. a cylinder with a height of 6 cm and a radius of 12 cm
Step-by-step explanation:
Help please and thankyou <3
The answer is D, because -2/3/2 = -4/3.
Answer:
the answer is D
Step-by-step explanation:
-2/ 3/2
= -2 × 2/3
= -4/3
Hakim was feeling adventurous at lunch. Rather than choosing a single drink, he decided to
mix together all the drink choices. He mixed an equal amount of 7 types of soda to fill his 12-
ounce cup to the brim!
How many ounces of each type of soda did hakim get?
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 62 centimeters. What is the approximate area of the circle? (Use 3.14 for
.)
A.
3,017.54 cm?
B. 12,070.16 cm?
C. 194.68 cm2
D. 754.385 cm?
What is 1 gallon, 3 quarts, 4 pints minus 3 quarts, 5 pints?
What is the radius of the circle without the equation to solve it?
Answer:
radious 7
diameter 14
Step-by-step explanation:
Final answer:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle.
Explanation:
The radius of a circle can be found using the formula r = C/(2π), where r is the radius and C is the circumference of the circle. Since the value of π is approximately 3.14159, you can divide the circumference of the circle by 2π to find the radius.
For example, if the circumference of the circle is 10 units, the radius would be 10/(2π) units.
Remember to use the appropriate units for both the circumference and the radius.
A restaurant uses 4.375 pounds of cheese for every pizzas. At this rate, how many pounds of cheese are used per pizza?
Final answer:
To determine the amount of cheese used per pizza, divide the total amount of cheese (4.375 pounds) by the number of pizzas (50), which equals 0.0875 pounds of cheese per pizza.
Explanation:
To find out how many pounds of cheese are used per pizza, we calculate the cheese usage rate by dividing the total pounds of cheese by the number of pizzas. The given information tells us that 4.375 pounds of cheese are used for every 50 pizzas. To find the amount of cheese used per pizza, we divide 4.375 pounds by 50.
4.375 pounds ÷ 50 pizzas = 0.0875 pounds per pizza
Thus, the restaurant uses 0.0875 pounds of cheese for each pizza made.
Find the median of the following numbers. 14, 17, 21, 28, 40.
Answer:21
Step-by-step explanation: The median is the number in the middle sorted from least to greatest, here 21 is the middle number.
Answer:
21
Step-by-step explanation:
In this picture b, d, and f are midpoints. Ac=50 ce=60 and bd=35. What is bf
Answer:
BF = 30
Step-by-step explanation:
Since B and F are midpoints of AC and AE then BF is a midsegment and is one half the measure of the third side CE, thus
BF = 0.5 × 60 = 30
The value of BF will be, 30 units.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In this picture;
B, D, and F are midpoints.
And, AC = 50, CE = 60 and BD = 35.
Here, C is midpoint of CE.
Hence, We get;
⇒ CD = 1/2 × 60
= 30
Here, The length of BF is equal to the length of CD.
Hence, The value of BF = 30 units.
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Equivalent Expression of
11 - 30x + 24
A car wash detailed 148 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
A. 38 cars per hour
B. 36 cars per hour
C. 35 cars per hour
D. 37 cars per hour
Answer:
D) 37 cars/hour
Step-by-step explanation:
148/4=37
Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and
divided into 5 smaller equal lengths. If Mr. Hopkins bends the wire at - meter, what fraction of the
smaller marks is that?
Answer: fraction = 1/20 or 0.05
Step-by-step explanation:
Let's first convert metre to centimeter
1 metre = 100 centimeters
Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:
1/4 × 100 = 25
Then divide 25 into 5 places
25/5 = 5cm
If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?
The fraction = 5/100 = 1/ 20 or 0.05
At the toy store for cars cost $3.28 how much does it cost to buy 30 toy cars
Answer:
98.4
Step-by-step explanation:
Multiply 3.28 by 30
Answer:
$98.40
Step-by-step explanation:
3.28x30=98.4
Help plz worth 20 points
Answer:
y=1/4x-4
Step-by-step explanation:
Answer:
y=x+3
Step-by-step explanation:
Mrs. Golub wants to share $7.20 equally among her three grandchildren. How much money should each grandchild get?
Answer: $2.40
Step-by-step explanation:
$7.20 divided by 3.
Answer:
They will get $2.4 each
Step-by-step explanation:
Mrs Golub haas $7.20 to share between 3 grandchildren
To share it equally, she should divide the amount by 3, which is
$7.20/3 = $2.4
cube
cylinder
hexagonal prism
square pyramid
the side of an equilateral triangle are8 units long. what is the length of the altitude of the triangle?
So, the triangle is equilateral, all its sides are equal⇒
AB=BC=AC=8
In an equilateral triangle, the height is also the median, so it divides the sides into 2 equal parts⇒
AO=OC=8:2=4
by the Pythagorean theorem
[tex]8^2=4^2+BO^2\\BO^2=64-16\\BO=\sqrt{48} \\BO=4\sqrt{3}[/tex]
Answer: BO=4√3
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P.S. Hello from Russia :^)
A line segment has an endpoint at (3, 2). If the midpoint of the line segment is (6, -2), what are the coordinates of the point at the other end of the line segment?
Answer:
(9,-6)
Step-by-step explanation:
The difference between the x coordinates (3 and 6) is 3 and the y coordinates (2 and -2) is -4, so the differences need to be the same from the midpoint to the other point.
6+3=9
-2+(-4)=-6
So the coordinates are (9,-6)
Find the answer please
Answer:
12.57
Step-by-step explanation:
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⊂_ヽ
＼＼ ＿
＼( •_•) ᶠ
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Answer:
4pi
Step-by-step explanation:
Pi * r^2 = area of circle
r = 2
pi*2^2 =
4pi
juan needs to measure 6 cups of flour for a recipe.he only has a 1/4 cup measuring cup.how many times must he fill the measuring cup to get 6 cups of flour
Answer:
Juan would need to fill up the 1/4 measuring cup 24 times.
Step-by-step explanation:
So to measure one cup of flour with a 1/4 measuring cup, you would need to fill up the 1/4 measuring cup 4 times. Since we want 6 cups, you would need to fill up the 1/4 measuring cup 24 times. 6 times 4 = 24. Hope this helps!
Juan would need to use his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour. This is solved by multiplying the number of quarters (4) in a cup with the total cups Juan needs (6).
Explanation:In order to understand the problem, we need to consider that each cup contains 4 quarters. So, if 1 cup equals 4 quarters, then 6 cups, the amount Juan needs for his recipe, would be 6 multiplied by 4, which is 24. Therefore, Juan would need to fill his 1/4 cup measuring cup 24 times to get a total of 6 cups of flour.
This is a problem of mathematics, precisely about ratios and proportions, commonly taught in middle school.
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Using the Addition Method, solve for y in the following system of linear equations.
4x-2y=6
2x+y=7
Answer:
x = 3.33
y = 0.33
Step-by-step explanation:
to evaluate for y in this system of linear equation we would say that let
4x-2y=6 ........................................................... equation 1
2x+y=7 ..............................................................equation 2
from equation 2
2x+y=7 ..............................................................equation 2
y = 7 - 2x........................................... equation 3
substitute for y in equation 1
4x-2y=6 ........................................................... equation 1
4x -2( 7 - 2x) = 6
4x - 14 + 2x = 6
6x = 6 +14
6x = 20
divide both sides by 6
6x/6 = 20/6
x = 3.33
put x into equation 3
y = 7 - 2x........................................... equation 3
y = 7 -2( 3.33)
y = 7 -6.667
y = 0.33
Final answer:
To solve for y using the Addition Method, first manipulate the equations to have opposite coefficients for y, add them to find x, and then substitute x back into one of the original equations to solve for y. The solution is x = 2.5 and y = 2.
Explanation:
The student is asking how to solve for y in a system of linear equations using the Addition Method. The given system of equations is:
4x - 2y = 6
2x + y = 7
To use the Addition Method, we aim to eliminate one variable by adding the equations. First, we manipulate the equations to have opposite coefficients for the y variable. Multiply the second equation by 2:
(2x + y) × 2 → 4x + 2y = 14
Now we have:
4x - 2y = 6 (Equation A)
4x + 2y = 14 (Equation B)
Add Equation A and Equation B:
4x - 2y + 4x + 2y = 6 + 14
8x = 20
x = 20 / 8
x = 2.5
Substitute x back into the second original equation to solve for y:
2(2.5) + y = 7
5 + y = 7
y = 7 - 5
y = 2
Hence, the solution to the system of equations is x = 2.5 and y = 2.