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
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
(SHOW YOUR WORK) 67.5+23.57
25 POINTS!!!! AND BRAINLIEST!
1. An internet company surveyed their users. The first 25 people who responded gave the ages shown below. Answer the following questions and create a histogram to display the data.
(You may want to make a frequency table to help organize the data)
What intervals would you use to make the histogram?
Find the mean, median and mode of the data
Find the mean absolute deviation for the data
Identify skew of the data (normal or asymmetric)
Identify any peaks, gaps or clusters in the data from the histogram
Age of internet users:
25, 43, 65, 12, 8, 30, 44, 68, 18, 21, 25, 33, 37, 54, 61, 29, 31, 38, 22, 48, 19, 34, 55, 14, 21
2. What does it mean for data to have variability as it refers to statistical questions? Give an example.
I need help please lol
Answer:
Omg I have a test too and it's due at midnight :/
Step-by-step explanation:
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:)
PLEASE ANSWER ASSAP!!! IF CORRECT WILL GIVE BRAINLY!!!!! Which one of these relationships is different than the other three? Explain how you know.
Answer:
The relationship B is different than the other three, because it has a different proportionality constant.
Step-by-step explanation:
All available options show direct relationships, which are defined as follows:
[tex]y\propto x[/tex]
[tex]y=k\cdot x[/tex] (1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]k[/tex] - Proportionality constant, dimensionless.
We proceed to use the following strategy based on the proportionality constant, that is:
[tex]k = \frac{y}{x}[/tex]
A different relationship must indicate a different proportionality constant:
Option A ([tex]x = 0.8[/tex], [tex]y = 4[/tex])
[tex]k = \frac{4}{0.8}[/tex]
[tex]k = 5[/tex]
Option B ([tex]x = 10[/tex], [tex]y = 55[/tex])
[tex]k = \frac{55}{10}[/tex]
[tex]k = 5.5[/tex]
Option C ([tex]x = 4[/tex], [tex]y = 20[/tex])
[tex]k = \frac{20}{4}[/tex]
[tex]k = 5[/tex]
Option D ([tex]x = 10[/tex], [tex]y = 50[/tex])
[tex]k = \frac{50}{10}[/tex]
[tex]k = 5[/tex]
The relationship B is different than the other three, because it has a different proportionality constant.
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)
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.
Sonia and Layla are both running for class president. The senior class has 220 students. After 60% of
the students have voted, Sonia has received 25% of the casted votes, and Layla has received 75%. How
many more votes does Sonia need to receive 50% of the total votes?
Answer: 33 votes
Step-by-step explanation:
First, we have to calculate 60% of 220 to Kno.the number of people who voted. This will be:
= 60% × 220
= 0.6 × 220
= 132 students
Sonia has received 25% of the casted votes. The number of votes Sonia got will be:
= 25% × 132
= 0.25 × 132
= 33 votes
Layla has received 75%. Her votes will be:
= 75% × 132
= 0.75 × 132
= 99 votes.
50% of the total votes will be:
= 50% × 132
= 0.5 × 132
= 66 votes
The number of votes needed by Sonia to receive 50% of the total votes will be:
= 66 - 33
= 33 votes
Help plz!!!! I will give brainliest!!
Caroline is going to invest in an account paying an interest rate of 5.2% compounded continuously. How much would Caroline need to invest, to the nearest dollar, for the value of the account to reach $940 in 6 years?
Answer:
688
Step-by-step explanation:
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:
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
A $45,000 car depreciates (goes down) 12% each year. How much does the car decrease by the end of the first year?
Answer: 39,600
This is what the cars value is after 1 year.
Answer:
Step-by-step explanation:
45,00 -12% =39,600
the question HOW MUCH DOES THE CAR DECREASE is asking by how much does the car decrease so 45,000 -39,600
which =5,400
hope this helps!
can I get brainliest please?
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.
Which scatterplot would have a trend line with a negative slope?
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.
How do you name the median of this triangle?
Answer:
F
Step-by-step explanation:
The median is always the letter in the middle
Elizabeth and her family's dinner bill was $79.00. How much tip will her family give the waiter, if they tip 23%?
Answer:
The tip that the family gave the waiter is 16.69$
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.
PLEASE HELP QUICK
The costume jewelry and accessories for the show are bought from sales racks at two different stores on different days. Use x to represent the price of each item on the sales rack at the first store and y to represent the price of each item on the sales rack at the second store.
On the first day, the students spent $30 on 4 items from the first store and 7 items from the second store. On the second day, the students spent $22 on 3 items from the first store and 5 items from the second store. On the third day, the students need to buy 10 items from the first store and 17 items from the second store.
What is the amount of money the students will need on the third day? Find your answer by creating and solving a system of linear equations based on the first day and the second day. Explain your reasoning.
Answer:
74
Step-by-step explanation:
Using linear equations, we are given two equations from the questions:
4x +7y=30 from day one and 3x +5y=22 from day two
Multiply the first equation by 3 and second by 4 giving us
12x +21y=90 and 12x +20y=88. Minus both equations.
12x - 12x +21y - 20y= 90 - 88, Gives you y=2,
You can now use the value of y to find x.
4x + 7y = 30
4x + 7(2)= 30
4x + 14= 30. Minus 14 on both sides giving you
4x=16. Divide both sides by 4.
x=4
Now use both values to find how much money is needed on the third day.
10x + 17y
=10(4) + 17(2)
=40 +34
=74
find the inverse ratio of 12:13
Answer:
13/12
Step-by-step explanation:
Factor the algebraic equation
36a+20
Answer:
4(9a+5)
Step-by-step explanation:
Answer:
4(9a+5)
Step-by-step explanation:
Their common factor is 4 so divide both by 4 and put it in parentheses times 4
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
Answer:
The person above meh
Step-by-step explanation:
Answer:
b. 29
Step-by-step explanation:
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
#SPJ2
Carson just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 1.25 inches per hour and its initial length was 10 inches.
Make a table of values and then write an equation for L, in terms of t, representing
the length of the candle remaining unburned, in inches, t hours after the candle was
lit.
Number of Hours Burning Length of Candle Remaining (Inches)
0
10
1
1
2
3
Answer:
Step-by-step explanation:
L = 10 - 1.25t
t = 1 ⇒ L = 10 - 1.25 = 8.75 inches
t = 2 ⇒ L = 10 - 1.25(2) = 7.5 inches
t = 3 ⇒ L = 10 - 1.25(3) = 6.25 inches
Can someone plz explain I would appreciate it
Answer:
Angle of depression
Step-by-step explanation:
I NEED THIS FAST!
You have two fractions with denominators of 3 and 10. What number should you use as the least common denominator if you want to add them?
9514 1404 393
Answer:
30
Step-by-step explanation:
The least common denominator is the least common multiple of the denominators.
Here, the given denominators, 3 and 10, have no common factors, so their least common multiple is simply their product:
LCD = 3×10 = 30
The least common denominator is 30.
__
If the denominator numbers have a common factor, then their least common multiple is their product divided by their greatest common factor.
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
A bus is traveling at a constant speed. If the bus travels 15 1 2 15 1 2 miles in 1 3 1 3 of an hour, how many miles will the bus travel in one hour?
Answer:
46 1/2 miles
Step-by-step explanation:
Given that:
Bus traveled at a constant speed ;
Miles traveled = 15 1/2 miles
Time taken for the travel = 1/3 of an hour
Number of miles bus will travel in 1 hours :
Let number of miles traveled in 1 hour = n
15 1/2 miles = 1/3 hour
n miles = 1 hour
Cross multiply :
1/3 * n = 15 1/2 * 1
1/3n = 31/2
Divide both sides by 1/3
n = 31/2 ÷ 1/3
n = 31/2 * 3/ 1
n = 93/2
n = 46.5 miles = 46 1/2 miles