Answer:
\(-20\frac{3}{4}, -15\frac{1}{2},- 14\frac{3}{4} , -\frac{1}{4}\)
Step-by-step explanation:
Negative number values work the opposite way positive number values work. For example, 15 is less than 20 but -20 is less than -15.
If we order the numbers in that way, we get \(-20\frac{3}{4}, -15\frac{1}{2},- 14\frac{3}{4} , -\frac{1}{4}\)
Please help me I don’t understand I will make you the brainliest if you show your work!
Answer:
The solution to the equation (1/2)c - 8 = 4 is c = 24.
Step-by-step explanation:
To solve the equation:
(1/2)c - 8 = 4
We want to isolate the variable c on one side of the equation, so we need to perform inverse operations to both sides of the equation to simplify it.
First, we add 8 to both sides of the equation:
(1/2)c - 8 + 8 = 4 + 8
Simplifying the left side by canceling out -8 and +8:
(1/2)c = 12
Next, we multiply both sides of the equation by 2 to eliminate the fraction:
2 × (1/2)c = 2 × 12
Simplifying the left side by canceling out 2 and 1/2:
c = 24
Therefore, the solution to the equation (1/2)c - 8 = 4 is c = 24.
find the area and circumference of each circle. Use pi in your answer (example: radius = 8, or diameter = 14).
Answer:
Solutions below.
Step-by-step explanation:
First, we have to define each of the formulas first.
Area of Circle =
\(\pi {r}^{2} \)
Circumference of Circle =
\(2\pi \: r\)
With the above formula above, we can find the Area and Circumference for each circle.
Circle A:
Radius = 8
Area =
\(\pi {(8)}^{2} = 64\pi {units}^{2} \)
Circumference =
\(2\pi(8) = 16\pi \: units\)
Circle B:
Diameter = 14 units
Radius = 14 ÷ 2 = 7 units
Area =
\(\pi {(7)}^{2} = 49\pi {units}^{2} \)
Circumference =
\(2\pi(7) = 14\pi \: units\)
hhelp
(ill mark brainliest if correct!)
Answer: Answer B is correct
Step-by-step explanation:
if u put in -2/5 in a calculator and change it to decimal form it equals -0.4
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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ILL GIVE BRAINLIEST HELP WITH ALGEBRA
Simplify the expression
(x+y)⁵ ÷ (x+y)²
Need help! Please answer asap
Answer:
The NMTAndP are all the same
Find the surface area of the triangular prism.
Answer:
Step-by-step explanation:
Surface area formula
= bh + L(s1,s2,s3)
= 5(12) + 2(12+13 +5)
= 120
Therefore the surface are is 120cm
Answer:
The surface area is:
\(120 {cm}^{2} \)
Step-by-step explanation:
There are two triangles, and three rectangles in this prism. The area of a triangle is:
\( \frac{1}{2} base \times height\)
and the area of a rectangle is:
\(length \times width\)
Therefore the area of the triangle is:
\( \frac{1}{2} (5) \times 12 \\ 2.5 \times 12 = 30 \\ 30 \times 2 = 60\)
This value is multiplied by 2 because there are 2 triangles.
The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).
Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =
\(120 {cm}^{2} \)
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Could anyone help me with this problem, Quickly Please...
Answer:
3/4
Step-by-step explanation:
Since (p, r) lies on the line y = x + b,
we have,
r = p + b -----eq(1)
Since (2p, 5r) lies on the line y = 2x + b,
we have,
5r = 2(2p) + b -----eq(2)
Sub the value of r from eq(1) in eq(2),
5(p + b) = 4p + b
⇒ 5p + 5b = 4p + b
⇒ 5b - b = 4p - 5p
⇒ 4b = -p
⇒ b = -p/4
sub in eq(1)
r = p + (-p/4)
= p - p/4
= 3p/4
⇒ r = 3p/4
⇒ r/p = 3/4
Answer:
3/4
Step-by-step explanation:
We have two lines:
r = p + b eq(1)
5r = 4p + b eq(2)
eq(2) - eq(1)
4r = 3p
dividing by 4p
r/p = 3/4
How would you graph the result of -3 + 5 as a point on the number line?
eight places to the right of zero
eight places to the left of zero
two places to the right of zero
two places to the left of zero
Answer:
Two places to the right of zero
Step-by-step explanation:
Answer:
2 places to the right
Explanation:
-3 + 5 = 2
Find the inequality represented by the graph. Thanks!
(plz no spam...)
Answer:
y > (1/3)x - 3.
Step-by-step explanation:
The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.
In the image, the slope of the graph from the given points is 1/3.
In the image, the y-intercept is -3.
Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!
We see the line isn’t dotted, so that means it must be > or <.
We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.
I hope this helps! :)
Answer:
y > (1/3)x - 3.
Step-by-step explanation:
Help pls and don’t answer with a link that makes me get a virus please I’m not going through that again
Answer:
1) 60% 2) 125% 3) 48 4) 4.05 5) 4,000 6) 2
Explanation:
I'm not really sure how to explain this to you, but I want you to know that I used a calculator to check my answers.
I hope you get great grades :)
HELP PLEASE????????????????????
Answer:
20x - 8
Step-by-step explanation:
Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:
(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8
What are the new coordinates of triangle ABC where A (1, -1), B (2, -3), and C (3, -1) after a dilation from the origin with a scale factor of 3?
PLEASE I NEED HELP
Answer:
A' (3,-3) B' (6,-9) C' (9,-3)
Step-by-step explanation:
multiply each of the numbers by 3 (scale factor)
Each line represents a proportional relationship. Write an equation for each line Show your work.
Answer:
4,3 and 1,4
Step-by-step explanation:
Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5
Answer: The inverse of f(x) is not g(x).
Step-by-step explanation:
Steps taken:
Swap x and y variablesSolve for yProve that the equations of f'(x) and g(x) are identical.1.
\(f(x) = x + 10\\y = x + 10\\x = y + 10\)
2.
\(x = y + 10\\y = x - 10\)
The inverse of f(x) is x - 10, which does not match with g(x).
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
IN YOUR OWN WORDS How can you use function notation to represent a function? How are standard notation and function notation similar?
Standard Notation:
y = 2x + 5
Function Notation:
f ( x ) = 2x + 5
Please help, due tomorrow
Answer:
Step-by-step explanation:
N^2-10n+9
The function notation to represent a function is f(x) and standard notation and function notation are similar because y = f ( x).
What is function notation?Function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”. In this case, the letter x, placed within the parentheses and the entire symbol f(x), stand for the domain set and range set respectively.
What is domain?The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
According to the question
Standard Notation:
y = 2x + 5
Function Notation:
f ( x ) = 2x + 5
Function notation can be used to represent the function as it represent function using symbols and signs .
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;
that is, y = f ( x).
This last expression is read as “ y equals f of x” and means that y is a function of x.
Standard notation and function notation are similar because
An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;
that is, y = f ( x).
Hence, function notation to represent a function is f(x) and standard notation and function notation are similar because y = f ( x).
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A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.
What is the volume.
Answer:
96, 672 yards
Step-by-step explanation:
Volume = Length · width · height
Volume = 114 · 212 · 4
Volume = 96, 672 yards
Express the missing divisor using a power of 10. Explain your reasoning using a place value model. 7,650 ÷ ___ = 7.65 *
Answer:
7,650 ÷ ___ = 7.65 It's 1,000
Step-by-step explanation:
Hope it's right :)
Answer:
b: 7,650 / 1000 = .7.65 this is because the decimal jumps 3 spots to the left
Can anybody give me an easy way to use prime factorization plssss
Answer: Step 1: Divide the given number by the smallest prime number. ...
Step 2: Again, divide the quotient by the smallest prime number.
Step 3: Repeat the process, until the quotient becomes 1.
Step 4: Finally, multiply all the prime factors.
Step-by-step explanation:
How do you find the area and perimeter of a trapezoid?
Answer:
Area of a trapezoid = \(\frac{b_{1} +b_{2} }{2} h\)
Perimeter of a trapezoid = All of the sides added together
In this case:
Area: 32.5 m²
Perimeter: 26 m
Step-by-step explanation:
The area of a trapezoid is base 1 + base 2 divided by 2, and then multiplied by the height.
The perimeter of all shapes is all of the sides added together.
Hope it helps!
There are 94 people signed up to run at a marathon. After the finish line there will be tables that can seat 6 people. How many tables are needed for all the runners?
Answer:
16
Step-by-step explanation:
You will need to divide 94 by 6 and that will give you 15.6, but you can't have .6 of a table, so you would need 16 tables. Hope this helps!
(I sincerely apologize if I'm wrong)
Answer:
16
Step-by-step explanation:
94/6 = 15.6
15.6 rounded is 16
QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
Answer:
223
Step-by-step explanation:
The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.
Function `r` gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant owner bought the rice.
Solve the equation `r(w)=30`and explain what the solution means in this situation.
Answer:
r(t) = 75 kg - (4.5 kg/wk)w
Step-by-step explanation:
Let r(t) represent the amount of rice remaining after w weeks.
Then:
r(t) = 75 kg - (4.5 kg/wk)w
please mark as brainliest
Answer:
w=10 and this means that 10 weeks after the rice was bought, 30 kilograms of rice remain.
Step-by-step explanation:
r(w)=75-4.5w is an equation for this function so I'll be using this. First insert r(w)= 30 into the equation.
75-4.5w=30
75-75-4.5w=30-75
-4.5w=-45
-4.5w/-4.5 = -45/ -4.5
w=10
Apologies if the explanation isn't thorough, I'll glady provide more details if necessary.
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Find the volume of the following figure using unit cubes.
None of the above.
23 units3
27 units3
25 units3
Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)
Answer:
2(8x + 18) and 4(4x + 9)
Step-by-step explanation:
16 and 36 are both evenly divisible by 2 and 4. Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).
Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
Given expression
16x + 36
= 4.4x + 4.9
16x + 36 = 4(4x+9)
= 2.2(4x + 9)
16x + 36 = 2(8x + 18)
Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.
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I WILL MARK AS BRAINLIEST! Solve for X
a) x=42
b) x=1.777777
c) x=60
Step-by-step explanation:
it will get cross multiplied and then simply