We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
One side is 3 times the second side.Third side is 12 feet longer than the second side.As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
So let the second side be xThen,
First side = 3xAnd, third side = x + 12We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:
[tex]3x + x + x + 12 = 32[/tex]
Solving it further,
[tex]5x + 12 = 32[/tex]
Subtracting 12 from both sides,
[tex]5x + 12 - 12 = 32 - 12[/tex]
[tex]5x = 20[/tex]
Dividing 5 from both sides,
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
[tex]x = 4[/tex]
Then,
First side = 3x = 12 feetSecond side = 4 feetThird side = x + 12 = 16 feetAnd we are done with the answer !!
#CarryOnLearning
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Solve 5x - 4< 2x + 5. Enter your answer as an inequality.
Answer:
x < 3
Step-by-step explanation:
5x - 4 < 2x + 5
Subtract 2x from both sides
5x - 4 - 2x < 2x + 5 - 2x
5x - 2x - 4 < 2x - 2x + 5
3x - 4 < 0 + 5
3x - 4 < 5
Add 4 to both sides
3x - 4 + 4 < 5 + 4
3x < 9
Divide both sides by 3
3x/3 < 9/3
x < 3
Vishal was interested in the relationship between a person's age and their musical preferences. He called all
the numbers listed in his city's telephone directory, and whenever someone answered and agreed to be
surveyed, he asked them for their age and interviewed them about their musical preferences.
Once he was done, he analyzed his results and found that younger people prefer pop and hip-hop music
while older people prefer jazz and classical music.
What type of statistical study did Vishal use?
Choose 1 answer:
Sample study
Experiment
Observational study
Answer:
Sample study
Step-by-step explanation:
Sample study is a type of statistical study that is done by taking samples from respondents for any research purpose.
In this type of statistical study, a group of people are selected and asked some questions or data collected.
The type of statistical study that Vishal used was Sample Study because he collected data from a group of respondents to arrive at a hypothesis.
Vishal study of relationship between people's age & musical preferences is 'Observational Statistical Study'
Given : Vishal approached all people in city, enquired willing ones about age & musical preferences, & analysed conclusion thereafter.
Vishal used Observational Statistical Study, as :
Sample study denotes - component step of choosing few representatives ie sample units from all ie population units. It is a part of all statistical studies, & not a type of study in itself. Observational Study - involves studying the sample units in natural uncontrolled or un intervened setup , based on the variable/ traits or relationship study needed by nature of study. Experimental Study - involves studying & analysing variables traits or relationships, in manipulated, controlled or artificially treated experiment setup.Vishal collects sample from his city & studies them as it is, without any artificial intervention. Hence this natural enquiry based study of age & musical preferences is Observational Study
To learn more, refer https://brainly.com/question/10025402?referrer=searchResults
simply: -2 1/3 - (-10 1/6)
Answer: 7.83
Step-by-step explanation:
Answer:
−8/3≈−2.666666667
Step-by-step explanation:
-2 1/3 - (-10 1/6)
Multiply −2 times 2/1=0.5.
−1−10×( 1/6 )≈−2.666666667
Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667
−1− 10/6 ≈−2.666666667
Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.
−1−5/3 ≈−2.666666667
Convert −1 to fraction −3/3 =−1.
− 3/3−5/3≈−2.666666667
Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.
−3−5/3 ≈−2.666666667
Subtract 5 from −3 to get −8.
-8/3=−2.666666667
A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 3/5 of what remained. How many copies does the bookstore have left?
Answer: 8 copies
Step-by-step explanation:
1/3 of 60 is 20. 1/5 of 40 is 8. 8x3=24, 40-24=16
Question 7
2 pts
If you bought something in Wyoming for $54, you would be charged $3.56 in state sales tax. What is the
state sales tax rate in Wyoming?
Insert your answer as a percentage to the tenth WITHOUT the % symbol.
Question 8
2 pts
Answer:
6.6
Step-by-step explanation:
The way to do this is to find the tax as a decimal. Worry about the 100 later.
54 * x = 3.56
Divide by 54
x = 3.56/54
x = .06593
Now use the 100
0.06592 * 100 = 6.593
But you want it rounded to the 1/10
So you should get 6.6 %
Determine whether the following graph represents a function.
A.function
B. Not function
b i think...
lmk if it's wrong, if it is i'm sooooo sorry!!
:)
simplify 5-(-1) Quickly answer pls
Answer:
5-(-1)
5+1
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
5-(-1)
5+1
= 6
Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)
Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
round 6893.209 to the nearest whole number
Answer:
6893
Step-by-step explanation:
Answer:
6893 is the nearest whole number
Which one of these is ordered from greatest to least?
A: -6.5, -4/5, 1/2, 4.25
B: -6.5, 4.25, -4/5, 1/2
C: 4.25, 1/2, -4/5, -6.5
D: 4.25, -4/5, 1/2, -6.5
HELLPPP! ASAPP
Answer:
the answer would be C :)
What is the value of the expression |5x+12| when x=5
Answer:
|5x+12| when x=5
I5*5=12I
I37I
37
Step-by-step explanation:
Answer:
37
Step-by-step explanation:
X=5
5x=(5×5)=25
25+12=37
Tracey paid $165 for an item that was originally priced at $450. What percent of the original price did Tracey pay? Round your percentage answer to two decimal places.
Answer:
36.67%
Step-by-step explanation:
To find the percent, divide 165 by 450 (part over whole) and multiply by 100
(165/450) x 100
= 36.67
So, Tracey paid 36.67% of the original price
Please help quick !!!!!! Simplify 6(x + 4).
Answer:
6(x + 4)
opening brackets
=6x+24 is the answer
Step-by-step explanation:
-56.5 as a mixed number
Answer:
-56 1/2
Step-by-step explanation:
Answer:
-5.6
Step-by-step explanation:
Which of the following sets of numbers does square root of 49?
Answer:
7
Step-by-step explanation:
Natural numbers , Real numbers ,Whole numbers ,Integers , Rational numbers
sqrt(49) = 7
So this number is in the set of...
Natural numbersWhole numbersIntegersRational numbersReal numbersThe set of natural numbers is {1,2,3,...} and the set of whole numbers is {0,1,2,3,...}. Basically we just added in 0. Integers will be similar but we now have negative values too {..., -3, -2, -1, 0, 1, 2, 3, ...}
Rational numbers are anything of the form a/b with a,b being integers. In other words, if we can write the number as a fraction of two integers, then we have a rational number. In the case of 7, we have 7 = 7/1, so it is rational.
The set of real numbers includes every number type you have learned of so far (natural, whole, integer, etc). If you haven't learned about imaginary or complex numbers yet, then every number your teacher will go over is a real number.
Find the general solution of the homogeneous system below. Give your answer as a vector.
x1 + 2x2 - 3x3 = 0
4x1 + 7x2 - 9x3 = 0
-x1 - 3x2 + 6x3 = 0
Answer:
Step-by-step explanation:
Given the system of homogeneous equations
x1 + 2x2 - 3x3 = 0 ................. 1
4x1 + 7x2 - 9x3 = 0 ................... 2
-x1 - 3x2 + 6x3 = 0..................... 3
First we will reduce the equation to two equations and two unknowns;
add equation 1 and 3;
2x2-3x2 +(-3x3+6x3) = 0
-x2 + 3x3 = 0
x2 = 3x3 .......... 4
Multiply equation 3 by 4 and add to equation 2;
equation 3 * 4 will give;
-4x1 - 12x2 + 24x3 = 0..................... 5
add equation 5 to equation 2;
7x2-12x2-9x3+24x3 = 0
-5x2 - 15x3 = 0 .......... 6
5x2 = 15x3
x2 = 3x3
Let x2 = k
From equation 4;
k = 3x3
x3 = k/3
substitute x2 = k and x3 = k/3 into equation 1 to get x1 in terms of k
From 1, x1 + 2x2 - 3x3 = 0
x1+2k-3(k/3) = 0
x1 +2k-k = 0
x1 +k = 0
x1 = -k
Writing the answer in vector form will give (x1. x2. x3) = (-k, k, k/3)
k(-1, 1, 1/3)
Hence the answer to the system of equation in vector form is k(-1, 1, 1/3) where k is any constant.
Have some points, i have to put in a question anyway to be "Part of The Community"
Answer:
yay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
Answer:
:)
Step-by-step explanation:
thanks! have a nice day!
Cameron bought a used car for $4,500. He made a down payment of $1,200 and agreed to pay the remaining balance in monthly payments of $300 each.
Which equation can be used to find m, the number of months it will take Cameron to pay off his car? (7.10A)
F 4,500 = 1,200 + 300m
F 4,500 = 1,200 + 300m
G 4,500 = –300 + 1,200m
G 4,500 = –300 + 1,200m
H 4,500 = 300 + 1,200m
H 4,500 = 300 + 1,200m
J 4,500 = 1,200 – 300m
J 4,500 = 1,200 – 300m
Answer:
[tex]4500 = 1200 + 300m[/tex]
Step-by-step explanation:
Given
[tex]Total = 4500[/tex]
[tex]Base\ Amount = 1200[/tex]
[tex]Payment = 300[/tex] monthly
Required
Write an expression to determine the number of months
The total can be expressed using:
[tex]Total = Base\ Amount +Payment * Number\ of\ months[/tex]
Substitute value for each term
[tex]4500 = 1200 + 300 * m[/tex]
[tex]4500 = 1200 + 300m[/tex]
Hence:
Option F answers the question
make the numbers from 1 to 20 using the numbers 1 9 8 4
Answer:
9-1+8+4
Step-by-step explanation:
9-1=8
use that 8 and add the other 8 to make 16
now add the 4. 16+4=20
Answer:
1, 4, 8, 9, 11, 14, 18, 19
Does someone have this kind of problem?
Answer:
Yes :<
Step-by-step explanation:
Hmm.. maybe f-1 (x) has a y-intercept of (0,-36).
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
5
7(-8)-2y=-52
help...
Answer:
y=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
7x - 2y = -52
7(-8) - 2y = -52
-56 - 2y = -52
-2y = 4
y = -2
Best of Luck!
On Thursday, a local hamburger shop sold a combined total of 580 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answer:
Hey there!
Let h be the number of hamburgers sold.
Let c be the number of cheeseburgers sold.
h+c=580
c=3h
4h=580
h=145
145 hamburgers were sold.
Let me know if this helps :)
Solve
5k+6=7 for x
please I need it quick and fast
In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparison to help understand the amount of tweets in a year by imagining each character was a drop of water and comparing to filling something up
Compare the number of stars to the number of circles. If the ratio remains the same, how many stars will there be when there are 15 circles?
There is 4 stars 3 circles
Answer:
the answer is 20 because if you want to keep the ratio the same, you have to multiply 3 by 5 to get 15 right? and so 4 times 5 is 20. see if it works
Step-by-step explanation:
What temperature is 24° warmer than-12 °C?
Answer:
12 °C
Step-by-step explanation:
x = -12 + 24x = 12 °C12 °C is 24°C warmer than -12°C
Which choice correctly expresses the number below in the scientific notation?
Please help me out!!
[tex] {32}^{ \frac{1}{5} } = \sqrt[5]{32} = 2[/tex]
Answer:2
Answer:
Step-by-step explanation:
Prime factorize 32
32 - 2*2*2*2*2 = 2⁵
[tex]32^{\frac{1}{5}}=(2^{5}})^{\frac{1}{5}}=2^{5*{\frac{1}{5}}}\\\\\\=2[/tex]
Rosalyn paid $55.00 for 4 pizza. Each pizza cost the same amount. What was the cost of each pizza in dollars and cents?
Answer:
$13.75 is ur answer
Answer:
13.75
Step-by-step explanation:55 divided by 4