Factor the trinomial below COMPLETELY
5x^2 - 20x + 60
Answer:
± [tex]\sqrt{-800}[/tex] / 2 or ±800i
Step-by-step explanation:
there are no rational roots because the square root of a negative
i got the answer by using the quadratic formula: (-b ±√b2 - 4ac) /2a
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
145
Step-by-step explanation:
x+35=180(linear pair)
x=145
or
180+35+x=360(being complete turn)
x=145
answer pls for points and top answer
In a pie eating contest, a
participant eats 4 pies in 15
minutes. At this rate, how many
minutes will it take the participant
to eat 20 pies?
Answer:
75 minutes
Step-by-step explanation:
Make an equation
4 pies to 15 minutes = 20 pies to x minutes
4 / 15 = 20 / x
Now cross multiply
4x = 15 × 20
And multiply 15 and 20
4x = 300
Then divide both sides by 4
x = 75
So your answer is 75 minutes
PLEASE HELP!! WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answer:
x=12
y = 4
Step-by-step explanation:
3x + y = 4x - 2y
x = 3y
y= 1/3x
3x + y = 40 3x + y = 40
3(3y) + y = 40 3x + (1/3x) = 40
9y + y =40 10/3x = 40
10y = 40 x = 12
y= 4
Answer:
We know that all sides of the equilateral triangle is equal.
Given :---
An equilateral triangle has a side length of 40.
Another side of the same triangle measures
3x + y.
The third side of the same triangle measures
4x - 2y.
According to the above problem, the equation are
3x+y=40........(i) and 4x-2y=40.........(ii)
Divide the equation (ii) by 2, we get
2x-y=20..........(iii)
Now solving for x and y we get,
3x+y=40.......(i)
2x-y=20........(iii)
5x =60
x=60/5
x=12
Putting the value of x in equation in equation (iii) we get
24-y=20
y=24-20
y=4
The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.
Hence, the value of x is 12 and y is 4.a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?
Answer:
[tex]Total\ Rotation = 225^{\circ}[/tex]
Step-by-step explanation:
Given
See attachment for nut
Required
Determine the angle of rotation
The total angle in the nut is:
[tex]\theta = 360^{\circ}[/tex]
An octagonal nut has 8 sides. So, each rotation is:
[tex]Each\ Rotation=\frac{360^{\circ}}{8}[/tex]
[tex]Each\ Rotation=45^{\circ}[/tex]
From position 8 to 5, there are 5 movements.
So, the total rotation is:
[tex]Total\ Rotation = Each\ Rotation * Moves[/tex]
[tex]Total\ Rotation = 45^{\circ} * 5[/tex]
[tex]Total\ Rotation = 225^{\circ}[/tex]
A particle traveled a distance of 9.0×1012 meters at a rate of 1.8×105 meters per second. If distance = rate x time, how many seconds did it take the particle to travel the specified distance?
Answer:it took the particle 50,000,000 seconds to travel the specified distance
Step-by-step explanation:
Given that distance = Rate x time
Distance traveled by Particle= 9.0×10^12 meters
and rate= 1.8×105 meters per second
Time taken for particle to travel the specified distance using our equation that
distance = Rate x time
time = Distance / Rate
=9.0×10^12 meters/ 1.8×105 meters per second
=50,000,000 seconds
George added two numbers and the result was 52. He also calculated the difference of the two number and it was 14. Find the larger number
The larger number was
What’s the answer pls
Wassily Leontief (1906-1999) was a Russian-born, American economist who, aside from developing highly sophisticated economic theories, also enjoyed trout fishing, ballet and fine wines. He won the 1973 Nobel Prize in economics for his work in creating mathematical models to describe various economic phenomena. In the remainder of this lab we will look at a very simple special case of his work called a closed exchange model. Here is the premise: Suppose in a far-away land of Eigenbazistan, in a small country town called Matrixville, there lived a Farmer, a Tailor, a Carpenter, a Coal Miner and Slacker Bob. The Farmer produced food; the Tailor, clothes; the Carpenter, housing; the Coal Miner supplied energy; and Slacker Bob made High Quality 100 Proof Moonshine, half of which he drank himself. Let us make the following assumptions:
Everyone buys from and sells to the central pool (i.e. there is no outside supply and demand). Everything produced is consumed. For these reasons this is called a closed exchange model. Next we must specify what fraction of each of the goods is consumed by each person in our town. Here is a table containing this information:
Food Clothes Housing Energy High Quality 100 Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.2
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.1
Coal Miner 0.2 0.15 0.2 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.5
So for example, the Carpenter consumes 22% of all food, 19% of all clothes, 22% of all housing, 22% of all energy and 10% of all High Quality 100 Proof Moonshin. The columns in this table all add up to 1. Explain why this happens.
Answer:
The reason for the columns adding up to 1 is that each individual consumes a proportion or a fraction of the total quantity produced under each product category and every product is consumed. There is no leftover.
When the proportions of all the individuals are added up, the sum is always 1 under each product category because each individual can only consume a part of the whole.
Step-by-step explanation:
a) Data and Calculations:
Food Clothes Housing Energy High Quality 100
Proof Moonshine
Farmer 0.25 0.15 0.25 0.18 0.20
Tailor 0.15 0.28 0.18 0.17 0.05
Carpenter 0.22 0.19 0.22 0.22 0.10
Coal Miner 0.20 0.15 0.20 0.28 0.15
Slacker Bob 0.18 0.23 0.15 0.15 0.50
Total 1.00 1.00 1.00 1.00 1.00
Sales per Day 0 1 2 3 4 8 9 10 11 12 5 6 7 Number of Sales The box plot above summarizes the number of sales that Lee makes each day over the past 10 days. How many sales did Lee make on his 3rd-highest day?
Answer:
8
Step-by-step explanation:
40% of 115 is what number
Answer:
46
Step-by-step explanation:
first multiply 115 by .40 then you got your answer
Answer:
46
Step-by-step explanation:
First, we will convert the text, 40% of 115 is what number, into a math equation, 40% * 115 = x. To get rid of the % sign (who like those?) we will multiply both sides by 10. 4 * 115 = 10x. Simplifing, we get 460 = x. So, x = 46
Which of the following describes the zeroes of the graph of f(x)=3x^ 6 +30x^ 5 +75x^ 4 ?
Answer: b
Step-by-step explanation:
took the quiz same answer on edunity
The Eagles are trying to win in overtime by scoring a field goal. In order for the kicker to successfully make a 54 yard kick the ball needs to reach a maximum height of 24 yards. Find the equation of the parabolic arc of the football, and write the a value in the general equation: y=a(x-h)^2+k = a ( x − h ) 2 + k in the blank below (be sure to write your answer in simplified fraction form, with no spaces).
16/24 in simpelist form?
Answer:
2/3
Step-by-step explanation:
2/3
divide by 8
Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $
Answer:
$340
Step-by-step explanation:
$215 after 7 months including initial membership fee
$25 per month
A year has 12 months, so it's 5 months more than 7 months.
You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.
$25/month * 5 months = $125
The extra 5 months cost $125.
$215 + $125 = $340
Answer: $340
A collection of quarters and dimes is worth $4.25. There are 23 coins in all. How many of each are there?
Answer:
4.48
Step-by-step explanation:
Answer: 13 quarters and 10 dimes
Step-by-step explanation:
Jack, Evan and Molly share somo money in the ratio 5:9:6 In total, Jack and Molly receive $77 Work out the amount of money that Evan receives.
Answer:
$63
Step-by-step explanation:
Find out the total amount of units that Jack and Molly have.
5 + 6 = 11
11 units = $77
Find out 1 unit to be able to find out how much Evan receives.
1 unit = $77 ÷ 11 = 7
Evan has 9 units, so find out how much money is 9 units.
9 units = 7 x 9 = $63
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
100
Step-by-step explanation:
x=100(being vertically opposite angle)
my son is trying to do translating angels
Answer:
Hi ma'am/sir... make sure your question is complete with a photo or options when asking a question on brainly.com
Step-by-step explanation:
thanks!
3 ÷ 1/8 show your work on paper! :D
Answer:
[tex]3 \div \frac{1}{8} = 3 \times \frac{8}{1} = 3 \times 8 = 24[/tex]
(5r^2 - 4) - (8r^2 + 7r+8)
Answer:
-3r^2-7r-12
Step-by-step explanation:
Your welcome
1 = 104
2 = 79
find the measure of the third angle
Answer:
?
Step-by-step explanation:
what is the common denominator of 1/9 and 5/12
what is 18/40 in simplest form?
Answer:
9/20
Step-by-step explanation:
18 is divided by 2 equals 9
---
40 is divided by 2 equals 20
graph the following equation and plz how
Desmos Graphing Calculator
The ratio of cows to pigs on the farm is
5:6. There are 30 pigs. How many cows
are on the farm?
Answer:
40
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
It takes Serina 8 hours to drive to Georgia. Her route is 4800 miles. What is Serina’s average speed?
Answer:
time
Step-by-step explanation:
Answer:
Technically it is 600 mph but I think you meant 480 miles not 4800 miles but if it is 480 miles then 60 mph
Step-by-step explanation:
I think you made a typo.
Write the division expression as a fraction.
•9÷11
•12÷17
• 1÷8
• 2÷7
• 23÷35
Answer:
9/11, 12/17, 1/8, 2/7 & 23/35
Step-by-step explanation:
y= 2x+4
How many solutions does this linear system have?
x + 2y = -8
O one solution: (8,0)
O one solution: (0,8)
O no solution
O infinite number of solutions
The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
Solve the following system:
{y = 4 - 3 x | (equation 1)
x + 2 y = 8 | (equation 2)
Express the system in standard form:
{3 x + y = 4 | (equation 1)
x + 2 y = 8 | (equation 2)
Subtract 1/3 × (equation 1) from equation 2:
{3 x + y = 4 | (equation 1)
0 x+(5 y)/3 = 20/3 | (equation 2)
Multiply equation 2 by 3/5:
{3 x + y = 4 | (equation 1)
0 x+y = 4 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Divide equation 1 by 3:
{x+0 y = 0 | (equation 1)
0 x+y = 4 | (equation 2)
Collect results:
Answer: {x = 0 , y = 4
Hence, The solution is, x = 0 , y = 4, solutions that this linear system of equation have.
To learn more on simplification click:
brainly.com/question/28996879
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Complete question:
How many solutions does this linear system have?
y=-3x+4
x + 2y = 8
O
O
O
O
one solution: (8,0)
one solution: (0,8)
no solution
infinite number of solutions