(SHOW YOUR WORK) 67.5+23.57
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
what is an y-intercept
Answer:
the point where the line on the graph meets the y-axis
Answer:
What is an y-intercept ?
A y-intercept is in analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x= 0.
Step-by-step explanation:
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
Please help I really need it I am in a timed test I will choose brainliest!
Write the standard form of the equation of a line with a slope of -4 passing through the point (1, -4).
Select one:
a. -4x - y = 0
b. -x - 4y - 15 = 0
c. x + 4y + 15 = 0
d. 4x + y = 0
I think the answer is a.
Step 1: We must determine the equation of the line in slope-intercept form* by solving for b.
[tex]-4 = -4(1) + b\\\\-4 = -4 + b\\\\0 = b[/tex]
Step 2: Now we write the equation in slope-intercept form.
[tex]y = -4x[/tex]
Step 3: We can now change the above equation to standard form by moving variables to one side.
[tex]y = -4x\\\\4x + y = 0[/tex]
Our answer is D. 4x + y = 0.
*Slope-intercept form: y = mx + b.
Given the following system, the x-value of the solution is -1. Solve for y.
Answer:
1. y=3
2. y=3
Step-by-step explanation:
Let's start with the first one, 2x-2y=-8...
Substitute x with -1 -----> 2(-1)-2y=-82 times -1 makes -2 so new equation is ---> -2-2y=-8Now add 2 on each side to get rid of 2 and get this ----> -2y=-6Now divide -6 by -2 to get this ----> y=3Let's start with the second one, 2x+2y=4
Substitute x with -1 -----> 2(-1)+2y=42 times -1 makes -2 so new equation is ---> -2+2y=4Now add 2 on each side to get rid of 2 and get this ----> 2y=6Now divide 6 by 2 to get this ----> y=3I hope my explanation and answer helps:)
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 the school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets find the price of a senior ticket and the price of a child ticket
Given :
On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .
The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.
To Find :
The price of a senior ticket and the price of a child ticket.
Solution :
Let, price of senior ticket and child ticket is x and y respectively.
Mathematical equation of condition 1 :
10x + y = 85 ...1)
Mathematical equation of condition 2 :
5x + 7y = 75 ...2)
Solving equation 1 and 2, we get :
2(2) - (1) :
2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0
10x + 14y - 150 - 10x - y + 85 = 0
13y = 65
y = 5
10x - 5 = 85
x = 8
Therefore, price of a senior ticket and the price of a child ticket $8 and $5.
Hence, this is the required solution.
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answer:
180 degrees
Step-by-step explanation:
Consider the equation 1.5x+4.5y=18. For each question, explain or show your reasoning.
Where does the graph intersect the y-axis (answer should be an ordered pair)?
Given:
The equation is
[tex]1.5x+4.5y=18[/tex]
To find:
The y-intercept (in ordered pair).
Solution:
We have,
[tex]1.5x+4.5y=18[/tex]
Putting x=0, we get
[tex]1.5(0)+4.5y=18[/tex]
[tex]0+4.5y=18[/tex]
[tex]4.5y=18[/tex]
Divide both sides by 4.5.
[tex]y=\dfrac{18}{4.5}[/tex]
[tex]y=4[/tex]
So, y-intercept is 4.
Therefore, the graph intersect the y-axis at (0,4).
What is the value of any number raised to the 0 power?
Can someone plz explain I would appreciate it
Answer:
Angle of depression
Step-by-step explanation:
In one year, Linda's parents spend $2400 on cable and internet service. If they spend the same amount each month, what is the resulting monthly change in the family's income? *
Answer: $200
Step-by-step explanation:
Given: In 1 year ,
Linda's parents spend $2400 on cable and internet service.
If they spend the same amount each month, Monthly payment = [tex]\dfrac{\text{Total money spent in 1 year}}{\text{Number of months in a year}}[/tex]
[tex]=\dfrac{\$2400}{12}\ \ \ [\text{Number of months in a year}=12]\\\\=\$200[/tex]
Hence, the resulting monthly change in the family's income = $200
The high temperature on monday was -14 degrees. On Tuesday the high temperature was 24 degrees. Which integer represents the difference in high temperature on these 2 days?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The high temperature on Monday was -14 degrees.
On Tuesday the high temperature was 24 degrees.
The temperature difference between Monday and Tuesday.
= Temperature on Tuesday - Temperature on Monday
= 24 - (-14)
= 24 + 14
= 38
Thus,
The integer that represents the difference in high temperature from Monday to Tuesday is 38.
Learn more about expressions here:
https://brainly.com/question/3118662
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Roman civilization began in 509 BC and ended in 476 A.D Roman civilization last show working
Answer:
Roman civilization lasted for 985 years.
Step-by-step explanation:
Given that Roman civilization began in 509 BC and ended in 476 A.
All we have to do is to subtract -579 from 476.
i.e.
[tex]476 - (-509)[/tex]
[tex]=476+509[/tex]
[tex]=985[/tex] years
Thus, Roman civilization lasted for 985 years.
Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Answer:
The tip that the family gave the waiter is 16.69$
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Answer:
C.
-48x7y3
Step-by-step explanation:
The next answer on edge is also C. 9a8 + 24a4 + 16
The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³ so option (C) will be correct.
What is multiplication?Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Given the two terms,
-8x⁵y² and 6x²y
If we multiply
-8x⁵y² × 6x²y = (-8)×6 × x⁵y² × x²y
⇒ - 48 × x⁵x² y²y¹
⇒ - 48 × x⁵⁺²y²⁺¹
⇒ - 48x⁷y³
Hence "The multiplication of -8x⁵y² and 6x²y will be -48x⁷y³".
For more information about multiplication,
brainly.com/question/14059007
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brainlest for whoever gets it right
3/4 - 1 and 1/2
Answer:
-0.75
Step-by-step explanation:
Answer: the answer would be -0.75, or -3/4
Find the area of the triangle.
Answer:
A
Step-by-step explanation:
The owner of a pet store sells 5 goldfish for $9 . What is the cost in dollars for one goldfish
Answer:
The answer is C.
Step-by-step explanation:
Took the lesson on edge 2021
PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)
I need help please lol
Answer:
Omg I have a test too and it's due at midnight :/
Step-by-step explanation:
I’m offering 29 points!!!!!!!! AQRS = ATUV Name the angle or side that corresponds to the given part for the question.
Solve 2 + 1/6x = -4.
X=
find the inverse ratio of 12:13
Answer:
13/12
Step-by-step explanation:
If x = 14, which equation is true?
A.3 ( 20 − x ) = 44
B.3 ( 12 − x ) = 6
C.2 ( x − 3 ) = 22
D.2 x − 3 = 22
Answer:
C. 2 ( x − 3 ) = 22Step-by-step explanation:
if x = 14
2 ( x − 3 ) = 22
2 (14 - 3) = 22
2 (11) = 22
22 = 22
therefore, the answer is C.
Nancy found that x=1 is one solution to the quadratic equation (x+2)2=a. What is the value of a? -9 -3 3 9
Answer:
9
Step-by-step explanation:
because thats the answer i just did the quiz
have a good day
The solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
How to find the solution to a quadratic equation?Given the quadratic equation
(x+2)^2=a
If one of the solution is 1, then x = 1
substitute
(1 + 2)^2 = a
3^2 = a
a = 9
Hence the solution to the quadratic equation (x+2)2=a if one of the solution is 1 is 9
Learn more on quadratic equation here:https://brainly.com/question/1214333
A movie theater had tickets at $12 for adults, $7 for students and $5 for children under 12 years old. A total of 278 tickets were sold for one showing with a total revenue of $2600. If the number of adult tickets sold was 10 more than the combined total of student and children tickets, find a system that could model this situation
Answer:
Step-by-step explanation:
Multiply the members of the revenue equation by 2:
system%28a%2Bs%2Bc=278%2C12a%2B7s%2B5c=2600%2Ca=2s-10%29
Three linear equations in three unknowns. Solve.
Find the value of x.
Answer:
x = 29
Step-by-step explanation:
The two labeled angles are same-side interior angles of parallel lines cut by a transversal. They are supplementary, so their measures have a sum of 180 deg.
2x - 10 + 4x + 16 = 180
6x + 6 = 180
6x = 174
x = 29