The perimeter of the triangle shown is 556 meters. Find
the length of each side.
x meters =
4x meters =
(8x - 3) meters =
(Type integers or decimals.)
4x meters
(8x - 3) meters
x meters
Answers
Answer X=43 ,4X=172, (8X-3)=101
Step-by-step explanation:
Perimeter = addition of all sides ie;
556=X+4X+8X-3
556=13X-3
556+3=13X
559/13=13X/13
X=43
replace x with 43 to get their
Related Questions
Please help - thanks
Insert parentheses in the appropriate places:
8+ 3-2 ×9 =17
28 ÷ 4+3 × 4+3 =28
5× 3+2 ×6 ÷3 =50
6× 9-4 +3-3 ×4=30
5 ×3+2× 6÷3 =19
5× 3+2×6 ÷3 =25
Answers
1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. The correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
What are arithmetic operations?Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.
Arithmetic operations follow the rule of BODMAS where
B represents brackets, O represents orders of powers or roots, D represents division, M represents multiplication,A represents addition and S represents subtractionHow to insert parentheses in the appropriate places:
1. How to insert parentheses in the appropriate places in 8 + 3 - 2 × 9 = 17Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,
8 + (3 - 2) × 9 = 8 + 1 × 9
= 8 + 9
= 17
So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. How to insert parentheses in the appropriate places in 28 ÷ 4 + 3 × 4 + 3 = 28Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,
28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)
= 28 ÷ 7 × (4 + 3)
= 4 × 7
= 28
So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 50Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3
= 5 × 5 × 2
= 50
So, the correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. How to insert parentheses in the appropriate places in 6 × 9 - 4 + 3 - 3 × 4 = 30Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,
6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4
= 6 × 5 + 0 × 4
= 30 + 0
= 30
So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 19Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,
5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3
= 15 + 12 ÷ 3
= 15 + 4
= 19
So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 35Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]
= 5 × [3 + 2 × 2]
= 5 × [3 + 4]
= 5 × 7
= 35
So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
Learn more about arithmetic operations here:
https://brainly.com/question/27799250
#SPJ1
pls solve this question step by step
Answers
Answer:
a) 50, b) -40, c) 3Step-by-step explanation:
Arithmetic mean is the average of the numbers.
a) (40 + 60)/2 = 100/2 = 50b) (- 60 - 20)/2 = - 80/2 = - 40c) (7/3 + 11/3)/2 = (18/3)/2 = 6/2 = 3Formula we use is,
→ Mean = (x + y)/2
a) 40 and 60 = ?
→ (40 + 60)/2
→ 100/2 = 50
Thus, the mean is 50.
b) -60 and -20 = ?
→ (-60 - 20)/2
→ -80/2 = -40
Thus, the mean is -40.
c) (7/3) and (11/3) = ?
→ ((7/3) + (11/3))/2
→ (18/3)/2
→ 6/2 = 3
Thus, the mean is 3.
Lily's limos charges $150 to rent a limo plus $40 an hour. ron's luxury rides charges $200 to rent a limo plus $30 an hour. at how many hours do the companies charge the same price? write and solve a single equation to prove and show at how many hours the companies charge the same price.
Answers
Upto 5 hours companies will charge at the same price.
what are comparing functions ?Functions can be represented in a variety of ways. A function, for instance, can be depicted using an input-output table, a graph, and an equation.It's occasionally necessary to compare two functions that are represented in different ways because of an issue. You might be asked, for instance, which function is greater for a given number or which function increases more quickly after being presented with a table and a graph.
Given that :For a limo rental, Lily's limos charges $150 plus $40 per hour. For a limo rental, Ron's Luxury Rides charges $200 plus $30 per hour.
Based on the given condition ,
equation is 150 + 40x = 200 + 30x
40x - 30x = 200 - 150
10x = 200 -150
10x = 50
x =[tex]\frac{50}{10}[/tex]
x = 5
To learn more about comparing functions visit:
brainly.com/question/22571937
#SPJ4
What is the slope of the line that passes through the points (-7, -2) and
(-2, -22)? Write your answer in simplest form.
Answers
Answer:
m = -4
Step-by-step explanation:
We are given the points (-7, -2) and (-2, -22), and we want to write the slope of the line.
The slope (m) can be calculated from two points using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
We already have everything we need to calculate the slope, however, let's label their values to help avoid any confusion and mistakes for later.
[tex]x_1=-7\\y_1=-2\\x_2=-2\\y_2=-22[/tex]
Now, substitute these values into the formula. Remember that the formula has subtraction, and we're dealing with negative numbers here.
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-22--2}{-2--7}[/tex]
Simplify.
m=[tex]\frac{-22+2}{-2+7}[/tex]
Add.
m=[tex]\frac{-20}{5}[/tex]
Divide.
m = -4
The slope of the line is -4.
Topic: slope
See more: https://brainly.com/question/27996574
I need help with how to do the vertical line test on a graph, I forgot.
Answers
Answer: To graph a vertical line that goes through a given point, first plot that point. Then draw a straight line up and down that goes through the point, and you're done!
Step-by-step explanation: pls give brainliest
Determine the quadrant in which each angle lies -7
Answers
It lies in the quadrant IV.
Since we know that a full circle is broken into four parts known as quadrants into regions of π/2.Since quadrant 1 ranges from 0 to π/2, quadrant 2 ranges from π/2 to π, then quadrant 3 ranges from π to 3π/2, and at last quadrant 4 ranges from 3π/2 to 2π.
And we know 2π is equal to approx 6.28 radians, so each quadrant will have 2π/ 4 = π2 ≈1.57 radians
So for angle -7 it will be = −7/(π/2) ≈−4.45.
So moving around the circle, it appears halfway through the quadrant IV.
To know more about the quadrant refer to the link https://brainly.com/question/7196312?referrer=searchResults.
#SPJ9
Evaluate each expression. When the answer is not a whole number, write your answer as a simplified fraction.
1. -4 x (-6)
2. -24 x (-7/6)
3. 4 ÷ (-6)
4. 4/3 ÷ (-24)
Answers
The result of each arithmetic operation is
1) -4×(-6)=24
2) -24 × [tex]-(\frac{7}{6})[/tex] = 28
3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]
4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]
Part 1
-4×(-6)=24
Part 2
-24 × [tex]-(\frac{7}{6})[/tex] =[tex]\frac{(24)(7)}{6}[/tex]
=[tex]\frac{168}{6}[/tex]
=28
Part 3
4 ÷ (-6) =[tex]-\frac{4}{6}[/tex]
=[tex]-\frac{2}{3}[/tex]
Part 4
[tex]\frac{4}{3}[/tex]÷(-24)= [tex](\frac{4}{3})(-\frac{1}{24} )[/tex]
=[tex]-\frac{4}{24}[/tex]
=[tex]-\frac{1}{18}[/tex]
Hence, the result of the following arithmetic operation is
1) -4×(-6)=24
2) -24 × [tex]-(\frac{7}{6})[/tex] = 28
3) 4 ÷ (-6) = [tex]-\frac{2}{3}[/tex]
4) [tex]\frac{4}{3}[/tex]÷(-24)=[tex]-\frac{1}{18}[/tex]
Learn more about arithmetic operation here
brainly.com/question/25834626
#SPJ1
English only please
Create an equivalent expression for 1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six.
1.4 cubed over 1.2 squared
1.2 squared over 1.4 cubed
1.4 to the eighteenth power over 1.2 to the twenty-fourth power
1.2 to the twenty-fourth power over 1.4 to the eighteenth power
Answers
Answer:
2.8 squared
2.6 cubed
2.6 twenty-fourth power
2.6 eighteenth power
its korrect now
The required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1.4 cubed over 1.2 raised to the fourth power all raised to the power of negative six is given as,
x = [1.4³/1.2⁴]⁻⁶
x = 1.4⁻¹⁸ / 1.2⁻²⁴
x = 1.2²⁴ / 1.4¹⁸
Thus, the required simplified solution of the given expression is 1.2 to the twenty-fourth power over 1.4 to the eighteenth power. Option D is correct.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
The rhombus shown below has been dissected into smaller rhombuses and
equilateral triangles whose side lengths are all unequal positive integers.
Find the smallest possible perimeter of the rhombus.
Answers
Answer:
Hello,
Answer 176
Step-by-step explanation:
Very hard as problem.
1. we suppose 2 variables a and b.
we find that b=5a/6
2. One more variable c
we find c=13a/24
3. a must be a multiple of 24 and perimeter is 44*a/6 = 176a/24
maths lit scope term 3 grade 10
Answers
Answer:
add a pic
Step-by-step explanation:
what meets a segment at its midpoint at a 90 degree angle?
Answers
Answer:
The right angle's vertex.
Step-by-step explanation:
A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.
a bag contains 1 gold marbles, 10 silver marbles, and 20 black marbles. someone offers to play this game: you randomly select one marble from the bag. if it is gold, you win $3. if it is silver, you win $2. if it is black, you lose $1.
Answers
The expected value is 3/31.
The number of gold marbles in the bag is 1.The number of silver marbles in the bag is 10.The number of black marbles in the bag is 20.The total number of marbles in the bag is 1 + 10 + 20.The total number of marbles in the bag is 31.The amount of money to be won if we select a gold marble is $3.The amount of money to be won if we select a silver marble is $2.The amount of money to be lost if we select a gold marble is $1.The probability of selecting a gold marble is 1/31.The probability of selecting a silver marble is 10/31.The probability of selecting a black marble is 20/31.The expectation value is the sum of the product of probabilities and the corresponding value of the marbles.Expectation = 3(1/31) + 2(10/31) - 1(20/31)Expectation = (3 + 20 - 20)/31Expectation =3/31To learn more about probability, visit :
https://brainly.com/question/11234923
#SPJ4
how do i multiply fractions?
Answers
Answer:
The first step when multiplying fractions is to multiply the two numerator. The second step is to multiply the two denominators. finally, simplify the new fractions. The fractions can also be simplified before multiply by factoring out common factors in the numerator and denominator.
example equation: 3/4 x 2/5
1) line equation
3 2
_x_
4 5
2) nominators x nominators, denominators x denominators
3 2 6
_x_=_
4 5 20
4) simplify
6/20=3/10
good luck !!
on her desk.
Susan has a box for paperclips
The box is 6 centimeters long, 3 centimeters
wide, and 2 centimeters high. What is the
volume of the box?
Answers
Answer:
36 cm³
Step-by-step explanation:
6x3x2 = (36 cm³)
Length x Width x Height
the cost of a can of coca-cola in 1960 was $ 0.10 . the function that models the cost of a coca-cola by year is c ( t )
Answers
The cost of the Coca-Cola can will be $1 in the year 2000.
Given that the cost of a can of Coca-Cola can in 1960 = $0.10
The function which models the cost of a Coca-Cola by year 't' is
c(t) = [tex]0.10e^{0.0576t}[/tex].
Here, 't' denotes the number of years since 1960.
c(t) is an exponential function.
We have to find the year in which the cost of a can will be $1.
So substitute c(t) = 1, we get,
1 = [tex]0.10e^{0.0576t}[/tex]
⇒ [tex]10 = e^{0.0576t}[/tex]
We have, [tex]ln(e^x) = x[/tex] .
Taking logarithm on both sides, we get,
log(10) = 0.0576t
⇒ [tex]t=\frac{ln(10)}{0.0576}[/tex] = 39.97 ≈ 40 years .
Thus the cost of a can of Coca-Cola will be $1 in the year, 1960 + 40 = 2000.
The question was incomplete. Find the complete question at:
The cost of a can of Coca-Cola in 1960 , was $0.10. The function that models the cost of a Coca-Cola by year is C(t)=0.10e^(0.0576t) , where t is the number of years since 1960 . In what year is it expected that a can of Coca-Cola will cost $1.00 ?
Learn more about exponential functions at https://brainly.com/question/23049613
#SPJ4
The price of Stock A at 9 A.M. was $12.74. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $13.24. It begins to decrease at the rate of $0.09 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
Answers
Answer:
3 hours
Step-by-step explanation:
but it can be a cent off, so it might be wrong.
question 12(multiple choice worth 1 points) (03.05 lc) what is the volume of a sphere with a radius of 6 inches? 112π cubic inches 288π cubic inches 290π cubic inches 300π cubic inches
Answers
volume of a sphere with a radius of 6 inches is 288π cubic inches.
What is volume of a sphere?A sphere is a collection of points in space that are separated from the center by an amount r. The volume of a solid in three dimensions is the area it occupies. The cubic is the unit of volume ( in3,ft3,cm3,m3 , etc ). Ensure that all measurements are made in the same unit before estimating the volume. A sphere's volume, V, is equal to four thirds of pi times the square of the radius.
V=43πr3
Half of the connected sphere's volume makes up a hemisphere. A sphere's volume is 2/3 that of a cylinder with the same radius and height that is equal to its diameter.
To know more about volume of sphere, visit;
https://brainly.com/question/9994313
#SPJ4
money marilyn is going on a class outing to an amusement park. she has $40 to spend. the admission price is $20. she plans to buy a sandwich for $5. a cup of lemonade costs $3.00. write an inequality to show how many cups of lemonade, c, she can buy.
Answers
Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) cups of lemonade from the rest of the money.
Here we have,
Total money to spend= $40
Admission price= $20
Sandwich= $5
Add all expenses to find the money spent by Money Marilyn.
Total expense= admission price + sandwich
Total expense = $20 + $5 = $25
Amount left with her= $40-$25 = $15
The number of cups when each cup's cost is $3
Total lemonade(x) = $15/$3 = $5
In an equality,
Money Marilyn can buy 1≤ x≤5 (more than or equal to one and less than or equal to five) lemonades from the rest of the money.
Learn more about inequalities by referring to this link:
brainly.com/question/17675534
#SPJ4
127,056 rounded to the nearest to ten thousand
Answers
Answer: 10000
Step-by-step explanation: That is as close to ten thousand as you can get
Help me please, find area these shapes, easy, I will give brainliest and points
Answers
Answer:
red - 1/2 × b × h
=1/2 × 3 × 4
= 6
green - 1/2 × b × h
= 1/2 × 4 × 4
= 8
how do u solve subtraction of number bases
Answers
Answer: Say you want to perform the following subtraction in base 5. Borrow a 5 from 3 fives. 3 fives in now 2 fives. Then, add that 5 to the 1 to make it 6.
Step-by-step explanation: there
At the beginning of the day, the stock market goes down 70 1/2 points and stays at this level for most of the day. At the end of the day the stock market goes up 80 3/4 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answers
The change for the day is 10 1/4
In this problem, we are expected to calculate the change in the price of a particular stock
Given that the days high is 80 3/4
and also that the days low is 70 1/2
we can calculate the change by subtracting the days low from the days high
i.e 80 3/4- 70 1/2= 323/4-141/2= (323-282)/4= 41/4
hence the change for the day is 41/4 =10 1/4
Also we can calculate the percentage change as
%change = (high-low)/low*100
%change= 80 3/4- 70 1/2/70 1/2*100= 41/4/70 1/2 *100
%change= 41/4*2/141*100
%change= 0.00145=0.145%
learn more here https://brainly.com/question/17378452
#SPJ9
pls help will give brainliest !!!!!!!!!
Answers
have a good day
I need help asap!!!!!
Answers
Answer:
last one
Step-by-step explanation:
6 3x2/8x2= 6 6/16
6 +5=11
6/16+11/16=17/16
11 17/16
what are the probabilities that the three subsystems, as well as the entire system, are operational?
Answers
Three subsystems are reliability-wise in series and make up a system. Subsystem 1 has a reliability of 99.5%, subsystem 2 has a reliability of 98.7% and subsystem 3 has a reliability of 97.3% for a mission of 100 hours.
We suppose that the system consists of one operating series subsystem, an identical stand-by subsystem, and a switch. Each subsystem consists of N components.
When the operating subsystem fails, the spare is put in motion by the switch immediately. The failed subsystem is restoring or changing the failed component. Because of the memoryless property of the exponential distribution of components lifetime, the renewal of a failed element means the renewal of the whole subsystem. We assume that there is a single repair facility. A renewal time is a random variable having distribution depending on a failed component. We suppose that the lengths of restoring periods of components are represented by identical copies of nonnegative random variables.
To know more about "Random variables"
Refer this link:
https://brainly.com/question/14356285
#SPJ4
x=7 y=4 HELP I WILL GIVE BRAINLIEST.
362x+836y+918334
Answers
Answer: 924212
Step-by-step explanation:
362x+836y+918334
362(7)+836(4)+918334
(362 x 7) + (836 x 4)+918334
Apply the distributive property to factor out the greatest common factor. 40 f + 30
Answers
Answer:
10(4f + 3)
Step-by-step explanation:
Both terms here are multiples of 10 hence we can factor out ten which is the greatest common factor resulting in 10(4f + 3)
Can someone please help me with this problem? 6 = |x| - 2
Answers
Answer:x=8
Step-by-step explanation:because you have to get the x by itself so add 2 to both sides so that's 8=x and its already x you dont have to divide so the answer is 8=x
hope this helps :}
Step-by-step explanation:
If it is absolutle vaules than there will be two solutions
First you want to get the absolute vaule of x by its self
After that you want to set up a postive and negative equation
[tex]8 = |x| [/tex]
[tex] - 8 = |x|[/tex]
Theres your two solutions.
jackie has a checking account. For each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day. Her current balance in the account is –$12.50. If she does not make any deposits or withdrawals, what will be the new balance in her account after 2 days? Show your work.
Answers
The new balance will be -27.50.
How to illustrate the expression?It should be noted that for each day that her checking account balance falls below zero, she is charged by the bank a fee of $7.50 per day.
Since her current balance in the account is –$12.50, the new balance after 2 days will be:
= -12.50 + (-7.50 × 2)
= -12.50 + -15
= -27.50
The balance is -27.50
Learn more about checking account on:
brainly.com/question/26181559
#SPJ1
write as a power of a prime
a) 64
b) 169
c) 625
Answers
Answer:
64:2⁶
169:13²
625:5⁴..................