One-eighth, when converted to a percent, is 12.5%. The decimal 0.709 is equivalent to 70.9% when converted to a percent. Two-thirds is roughly equivalent to 66.7% after conversion and rounding.
Converting Fractions and Decimals to Percents
To convert a fraction to a percent, you can either first convert it to a decimal or multiply the fraction straightaway by 100. For one-eighth, we multiply 1/8 by 100 to get 12.5%. So one-eighth as a percent is 12.5%.
To rename 0.709 as a percent, you move the decimal point two places to the right or multiply by 100, which gives us 70.9%. Therefore, 0.709 as a percent is 70.9%.
Lastly, two-thirds is equivalent to the decimal 0.666... (repeating). To turn this into a percent, we again multiply by 100, yielding approximately 66.7%, after rounding.
What is the smallest positive integer N such that the value 70 + 30(N) is not a prime number?
What is the constant of proportionality in the equation y=5.5x
Answer:
In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] is the constant of proportionality.
This equation represents a proportional relationship between [tex]\(x\)[/tex] and [tex]\(y\),[/tex] where [tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\).[/tex] Therefore, [tex]\(5.5\)[/tex] is the constant by which [tex]\(x\)[/tex] is multiplied to get [tex]\(y\).[/tex]
Explanation:
In the equation [tex]\(y = 5.5x\), \(5.5\)[/tex] represents the constant of proportionality. In a proportional relationship, one quantity is always a constant multiple of the other. Here,[tex]\(y\)[/tex] is always [tex]\(5.5\)[/tex] times the value of [tex]\(x\)[/tex]. This means that as [tex]\(x\)[/tex] increases or decreases, [tex]\(y\)[/tex] changes in direct proportion, always maintaining a ratio of [tex]\(5.5:1\)[/tex] between [tex]\(y\)[/tex] and [tex]\(x\)[/tex]. The constant of proportionality, [tex]\(5.5\)[/tex], determines the rate at which [tex]\(y\)[/tex] changes with respect to changes in [tex]\(x\)[/tex], serving as a scaling factor in the relationship between the two variables.
Susan and terry run a day care center Since they use susans house it was agreed that her share is twice as Terrys if they earn 225 how much is susans share?
To determine Susan's share of the daycare earnings, the simple equation T + 2T = 225 was solved to give Terry's share as $75. Susan's share, being double Terry's, is therefore $150.
The total earnings of Susan and Terry together: 2x (Terry's share) + Terry's share = 225
Given that the total earnings are 225:
2x (Terry's share) + Terry's share = 225
3x (Terry's share) = 225
Terry's share = 225/3 = 75
Susan's share = 2 x 75 = 150
Therefore, Susan's share is 150.
Triangle ABC has vertices at A(−3, 4), B(4, −2), C(8, 3). The triangle is translated 4 units down and 3 units left. Which rule represents the translation? After the translation, what are the coordinates of vertex C?
Answer: Correct answer is (x, y) → ( x − 3, y − 4); (5, −1)
Step-by-step explanation: Starting from point 8,3 we go down 4 on the y-axis (y-4)and stopping at -1 then we go left on the x-axis (x-3) stopping at 5.
So the new coordinate for the vertex C should read 5,-1.
After the translation , the coordinates of vertex C are ( 5 , -1 )
Further explanationThere are several types of transformations:
TranslationReflectionRotationDilationLet us now tackle the problem!
This problem is about Translation.
The triangle is translated 4 units down and 3 units left.
The rule that represents the translation will be [tex]\left[\begin{array}{ccc}-3\\-4\end{array}\right][/tex]
Let's find the translation for every vertice of Triangle ABC:
A(-3 , 4) → A'(-3 + (-3) , 4 + (-4)) = A'(-6 , 0)
B(4 , -2) → B'(4 + (-3) , -2 + (-4)) = B'(1 , -6)
C(8 , 3) → C'(8 + (-3) , 3 + (-4)) = C'(5 , -1)
From the results above, we can illustrate the translation process as shown in the attached picture
Conclusion:After the translation , the coordinates of vertex C are ( 5 , -1 )
Learn moreInverse of Function : https://brainly.com/question/9289171Rate of Change : https://brainly.com/question/11919986Graph of Function : https://brainly.com/question/7829758Translation : https://brainly.com/question/10929552Translation of Graph : https://brainly.com/question/12091943Transformation Of 2 Functions : https://brainly.com/question/2415963Answer detailsGrade: High School
Subject: Mathematics
Chapter: Function
Keywords: Function , Trigonometric , Linear , Quadratic , Translation , Reflection , Rotation , Dilation , Graph , Vertex , Vertices , Triangle
20 POINTS !! HELP FAST Cindy and Giovanni plan to make spaghetti sauce. Cindy needs 4 3/4 pounds of tomatoes for her recipe. Giovanni needs 5 3/4 pounds of tomatoes for his recipe. If they make both recipes, how many pounds of tomatoes do they need?
A. 1
B. 9
C. 9 1/2
D. 10 1/2
I need the answer and work
mr. brown class and mrs. farmers class collected cans for the school recycling project. mrs. farmers class collected 3 times as much as mr. browns class. together they collected 212 cans. how many cans did each class collect?
what are the steps to convert a quadratic function in standard form to vertex form
To convert a quadratic function in standard form to vertex form, follow these steps: identify the given equation, find the x-coordinate of the vertex, substitute the x-coordinate to find the y-coordinate, and write the function in vertex form.
Explanation:To convert a quadratic function in standard form to vertex form, follow these steps:
Identify the given equation in standard form, which is in the form of ax² + bx + c = 0.Use the formula x = -b/2a to find the x-coordinate of the vertex.Substitute the found x-coordinate into the original equation to find the y-coordinate of the vertex.Write the quadratic function in vertex form as y = a(x-h)² + k, where (h, k) is the vertex of the parabola.For example, if the quadratic function is given as 2x² - 8x + 5 = 0, we first find the x-coordinate of the vertex using the formula x = -b/2a as x = -(-8)/(2*2) = 2. Substituting this x-coordinate into the equation, we find the y-coordinate of the vertex as y = 2*(2)² - 8*(2) + 5 = -3. Therefore, the quadratic function in vertex form is y = 2(x-2)² - 3.
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PLEASEEE HELPP ASAP!
If 772 is divided by 9, what is the remainder? A) 4 B) 6 C) 7 D) 8
A living room wall is 11 feet long. How far from the corner would you have to the edge of 2ft 6in for shelf for it to be centered on the wall
11 foot wall,
the center of the wall would be 5 1/2 feet which is 5 feet 6 inches
the shelf is 2 feet 6 inches, so the center of that would be 1 foot 3 inches
5 ft 6 in - 1 ft 3 in = 4 ft 3 inches from corner
Change 3 radians to degree measures
π radians =180∘
1 radian = tex] \frac{180°}{ \pi} [/tex]π
3 radians = [tex] \frac{540°}{ \pi} [/tex]
8 1/10 as a decimal
Is -9 greater than 8
Solve for r: C = 2pir.
r = C over 2 pi
r = 2 c all over pi
r = C over pi
r = pi times C all over 2
Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets. She divided the remaining clay into 8 equal portions what is weight of the clay in each portion?
Use substitution to solve the linear system of equations.
y=x-2
2x+4=y
(-6,8)
(6,8)
(-6,-8)
(6,-8)
Answer:
(-6,-8)
Step-by-step explanation:
2x+4=x-2
2x-x=-2+-4
x=-6
y=-6-2
y=-8
What is the definition of when each input has exactly one output in a relation
Which expression is equivalent to the following?
21x – 15
A. 3(2x)
B. 3x(7x – 5)
C. 3(7x – 5)
D. 3(7x – 15)
18+6(9k-13) Can someone please help me on this problem, you have to simplify to get the answer.
If the distance from 0 to x on a number line is less than 5, then –5 + x is negative. Always Sometimes Never
Final answer:
The statement that -5 + x is negative, given the distance from 0 to x on a number line is less than 5, is true sometimes. This depends on the value of x, whether it is a small positive number or any negative number.
Explanation:
The question revolves around the concept of distance on a number line and the calculation of numerical expressions. To understand whether -5 + x is always, sometimes, or never negative given the condition that the distance from 0 to x on a number line is less than 5, let's analyze the scenarios.
First, the absolute value |x| < 5 indicates that x must be between -5 and 5 (not including -5 and 5). This means x can be any value closer to 0 than 5, whether positive or negative.
If x > 0 (but less than 5), then -5 + x would be negative because x cannot neutralize the -5 completely.
For example, if x=4, then -5 + 4 = -1.
If x < 0, then -5 + x is negative since you are adding two negative numbers.
For example, if x=-4, then -5 + (-4) = -9.
The statement -5 + x is negative is true sometimes based on the value of x. If x is a positive number close to 5, the expression may approach 0 but will stay negative. If x is negative, the expression is further negative.
Part 1:
The length of a rectangle is 4/3 its width, w.
Which expression represents the perimeter of the rectangle?
Answer Choices:
a. 4/3w+2w
b. 4(4/3w+w)
c. 4×4/3w
d. 2(4/3w+w)
Part 2:
The perimeter of the rectangle from Part 1 is 28 inches.
What is the area of the rectangle, in square inches?
perimeter = 2 times the length plus 2 times the width
which can also be written as 2(4/3w+w) so the answer is D
part 2
28 = 2(4/3w+w) when you do the calculation w = 6
length = 4/3 *6 = 8
area = 6 * 8 =48 square inches
Jacob is using this rule.
''Start with a number, divide it by 2 and then add 3. Write down the result.''
a) What is the result when Jacob starts with 8?
b) What number did Jacob start with when the result is 5?
Enter the solution to the inequality in the box.
−9x−6≥−3(x−4)
For those of you who are confused like I was, the answer is x ≤ -3
(2p^2+7p-39) divided by (2p-7) ?
On a cross-country vacation, Maria filled her 14-gallon gas tank eleven times. Which is the best estimate of how many gallons of gas she put into the tank altogether. ;-;
The answer choices : 75 gallons, 150 gallons, 200 gallons, and 225 gallons.
Plz help XD
A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height of the prism is 30 ft which expression gives the volume of the pyramid ?
15b
10b
5b
30b
Answer:
5b
Step-by-step explanation:
Given,
The base area of the prism = base area of the pyramid = b,
Also, the height of the prism = 30 ft,
While, the height of the pyramid = [tex]\frac{\text{height of prism}}{2}[/tex]
[tex]=\frac{30}{2}=15\text{ ft}[/tex]
Now, the volume of the pyramid = [tex]\frac{1}{3}[/tex] × base area × height
[tex]=\frac{1}{3}\times b\times 15[/tex]
[tex]=\frac{15b}{3}[/tex]
= 5b ft²
Hence, THIRD option is correct.
Which fraction is equivalent to 1/2?
2/3
2/4
3/5
4/7
Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk.
Final answer:
To find how far Ebony walked, multiply her walking rate (3 1/2 miles per hour) by the time walked (1 1/3 hours), resulting in a total distance of 4.665 miles.
Explanation:
The question asks, "Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. How far did she walk?" To answer this, we need to multiply the rate at which Ebony walked by the time she spent walking. The rate is 3½ (or 3.5) miles per hour, and the time is 1⅓ (or 1.333) hours.
So, the calculation is as follows:
Distance = Rate × Time
Distance = 3.5 miles/hour × 1.333 hours
Distance = 4.665 miles
Therefore, Ebony walked a total of 4.665 miles.
Describe the different types of results that will occur when preforming transformation on equations that have one solution, no solutions or infinitely many solutions.
Just to let you know i did not write this someone else on brainly did
if the variables cancel out leaving u with an untrue statement, like 0 = 4 or 2 = 6, then u will have no solutions
if the variables cancel out leaving u with a true statement, like 2 = 2 or 4 = 4, then u will have infinite solutions
if u end up with a variable equaling a number, then u have 1 solution
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