Factor: 6(x + 2)
Simplify: 6x + 12
Answer:
[tex]\boxed {6x + 12}[/tex]
Step-by-step explanation:
Solve the following expression:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
-Use Distributive Property:
[tex]2(5x + 3) - 2(2x - 3)[/tex]
[tex]10x + 6 - 4x + 6[/tex]
-Combine like terms:
[tex]10x + 6 - 4x + 6[/tex]
[tex]\boxed {6x + 12}[/tex] (final answer)
how do u find the sum of (5x-2) + (4x+6)
[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]
Answer:
9x+4
Step-by-step explanation:
First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.
Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.
Now, calculate the sum and you should get 9x+4.
The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 56 and a standard deviation of 10. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86?
Answer:
97.35%
Step-by-step explanation:
Empirical rule formula states:
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
From the question, we have the mean of :
Mean of 56 and a standard deviation of 10.
For 36
36 = μ - xσ
36 = 56 - 10x
56 - 36 = 10x
20 = 10x
x = 20/10
x = 2
Hence, the data falls within 2 standard deviation of the mean
Hence, since it is one side,
= 95%
= 47.5%
For 86
86 = μ - xσ
86 = 56 - 10x
56 - 86 = 10x
-30 = 10x
x = -30/10
x = -3
Hence, the data falls within 3 standard deviation of the mean
Hence, since it is 99.7% one side,
= 99.7%
= 49.85%
Hence, we add up
= 47.5% + 49.85%
= 97.35%
The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%
Rico wants to buy the new Madden NFL game. It costs $60.00. He has $24.78 in his bank account. He will also get $20 for mowing his neighbors lawns. Create a number line to represent the situation. ALSO how much more does he need in order to buy the game? *
Answer:
$15.22
Step-by-step explanation:
Given that :
Cost of NFL game = $60
Amount Rico has in bank account = $24.78
Amount earned for mowing lawn = $20
Amount needed more to buy the game :
Total amount Rico has :
Cost of NFL game - (Amount in bank + amount earned for mowing)
$60 - ($24.78 + $20)
$60 - $44.78
= $15.22
Amount needed more to purchase the game = $15.22
You had $1.65. After a friend returned the money you had loaned her, you
had $3.50. How much did she give you? _____
Answer:
$1.85
Step-by-step explanation:
Simple Subtraction!
$3.50 - $1.65 = $1.85
$1.85
What is the LCD of 49:63
Answer:
21
Step-by-step explanation:
Answer:
411
Step-by-step explanation:
Solve equation Y=9x-70 and y=2x-32
Step-by-step explanation:
y = 9x - 70 ...1
y = 2x - 32 ...2
...1 - ...2
0 = 7x -38 ...3
7x - 38 = 0
7x = 38
x = 38/7
3. FIHG is a rhombus. Find the value of x.
1
H
ZFIR = 3x + 40
R
ZFGR = x^2
F
G
Answer:
where is the rhombus
Step-by-step explanation:
A recipe says to use 3 cups of flour to make 48 cookies. How many cups of
flour are needed for 80 cookies?
What is a pre-image?
Answer:
an image before the image your seeing
Step-by-step explanation:
Please help! Drag the tiles to the correct boxes to complete the pairs...
I need helpppppp! Pleaseeeewww
9514 1404 393
Answer:
Same slope of 2Both are linearBoth are parallel to each otherStep-by-step explanation:
The y-intercepts are 0 and -7, so the vertical intercepts are not the same.
The one that is 0 represents a proportional relation; the one that is -7 represents a non-proportional relation. So, one is proportional and the other is not.
The x-coefficient is 2 in both cases, so the equations have the same slope of 2. Since the slopes are the same and the y-intercepts are different, the lines are parallel to each other.
Each is the equation of a line, so both functions are linear.
At a plant nursery, 5/8 of the planets for sale are flowers and another 1/3 of the plants are shrubs. What amount of the plants for sale are either flowers or shrubs?
Answer: 23 / 24
Step-by-step explanation:
Given that:
Fraction of flowers for sale = 5/8
Fraction of shrubs for sales = 1/3
Amount of flowers that are either flowers or shrubs :
(Fraction of flowers +. Fraction of shrubs)
(5/ 8 + 1 /3)
L.C.M of 8 and 3 = 24
= (15 + 8) / 24
= 23 / 24
Certain species of fish costs $4.49 each. You spend at most $35. How many of this type of fish can you buy for your aquarium?
Also how do you give the brainlyest answer to someone?
Answer:
7 fish
Step-by-step explanation:
1. 4.49x ≤ 35
2. Divide both sides by 4.49 so it cancels out the multiplication. x ≤ 7.79510022272
3. You can't split fish, so you can buy 7 fish.
Not sure how to give Brainliest, though.
Answer:
Do 4.49 times 8 it'll get your answer
Step-by-step explantion
NO it's 8 he can buy 8 Of them fishes
Find an equation for the line below in y=mx+b
Answer:
y = -1/2x - 11/2
Step-by-step explanation:
Using slope intercept form y = mx + b, to determine the equation, first count the rise(vertical or change in y), and run(horizontal or change in x) of the line.
m is the slope, b is the y-intercept which will remain when x is 0 as this will cancel out the m.
Be careful when determining the slope, and pay attention to the steps(count) of the x, and y axis.
As this graph measures a line with a negative slope passing through the y axis at -5 1/2 → -11/2, with a step of 1, we can count the squares normally to determine the slope.
So since we know that this line has two obvious points (-5,-3) and (1,-6) we can use the equation for slope to measure it's steepness.
m = y2-y1/x2-x1
with (x1,y1) being the first point, and (x2,y2) being the second point.
So: (negative minus a negative makes a positive)
m = -6-(-3)/1-(-5) = -6 + 3/ 1 + 5 = -3/6 = -1/2.
Since m = -1/2, and b = -11/2, the line must be y = -1/2x - 11/2.
Elina is gathering up change she has saved. She has a total of $2.60. All of her change is in either nickles, dimes, or quarters. She has twice as many dimes as quarters and two less quarters than nickles. Is it possible that she has eight dimes, four quarters, and six nickels? Explain.
Answer:
sadsadwsd
Step-by-step explanation:
what is 2x + 27 = -3 (x+5) + 7
Answer:
The answer is x = -7
Answer:
2^x = 16
Step-by-step explanation:
A TV program is edited for broadcasting and 17% of the original is cut.
The program is now 1 1/2 hours long. How long was the original program IN HOURS.
(basically 1 1/2 increased by 17%)
PLS answer quick:)
question in the picture!!
looking for the answer of 1) , 2) and 3)
show your work using numbers!!
Answer:
1. 24%
2. 30%
3. 30%
Step-by-step explanation:
1. 100%/25= 4% 4%*6=24%
2. 100%/50= 2% 2%*15=30%
3. 100%/40=2.5% 2.5%*12= 30%
What is the domain of this function in the graph below?
What is the interval?
4.5/w = 3
what is the W?
Answer:
w=1.5 or w=13.5
Step-by-step explanation:
this is one answer:
multiply w on both sides to leave u with
4.5=3w
divide both sides by 3
[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]
1.5=w
_____________________
this is the second one if the first one is wrong:
multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.
then 3*4.5=13.5
w=13.5
hope dis helps if not then im not dat smart enough ;?
Which graph represents a function?
Ay
ny
ty
Answer: it would be the fourth one with the line going straight across the top
Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.
If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
The fourth graph represents a function as per the vertical line test.
To determine the function:
Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.
The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.
A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.
There is a range, co-domain, and domain for every function.
As per the given graphs,
the first three graphs do not represent a function.
only the fourth graph represents a function.
To learn more about the function;
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log(x+1)−log(x−8)=log(10)
How do i solve this?
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
The applicable rule of logarithms is ...
log(a) -log(b) = log(a/b)
__
Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.
log(x+1) -log(x-8) = log(10)
log((x+1)/(x-8)) = log(10)
(x +1)/(x -8) = 10 . . . . . . . take antilogs
x +1 = 10(x -8) . . . . multiply by x-8
81 = 9x . . . . . . . add 81-x, simplify
9 = x . . . . . . . . . divide by 9
_____
When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.
Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song.The superstar music club charges no sign-up fee and charges $3.50 each song. After how many song will the cost of the music clubs be equal?
1st choice music club equation: _____ Superstar Music Club Equation: _____
Solution: _____
THIS WAS DUE YESTERDAY, with a lot of other confusing problems! Please help!
Answer:
The answer is 2 songs and the solution is 7.
Step-by-step explanation:
1. Make an equation for each club. The 1st choice music club equation is 5+1x and the Music Club equation is 3.50x.
2. Go down the number line starting with 1 and replace x with that number and solve the equation until you get the same number on each side with the same replacement number.
3. So, 5+1x becomes 5+1(2) and that would equal 7. Then do 3.50x becomes 3.50(2) and that would also equals 7.
Note: When a number has a number next to it in parentheses then that means to have to multiply first. If you don't then you will get the wrong answer.
Cheddar Cheese
$3/1b
Swiss Cheese
$5/16
Keisha is catering a luncheon. She has
$30 to spend on a mixture of Cheddar
cheese and Swiss cheese. How many
pounds of cheese can Keisha get if she
buys only Cheddar cheese? Only Swiss
cheese? A mixture of both cheeses?
What linear equation in standard form can
she use to model the situation?
If she buys only Cheddar, and she spends all $30, she can buy
(Type an integer or a decimal.)
pounds.
Complete question :
Cheddar Cheese
$3/lb
Swiss Cheese
$5/lb
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Answer:
10 lbs of cheddar cheese
6 lbs of Swiss cheese
$3a + $5b = $30
Step-by-step explanation:
Given that :
Cheddar cheese = $3/lb
Swiss cheese = $5/lb
Total amount budgeted for cheese = $30
How many pounds of cheese can Keisha get if she buys only Cheddar cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of cheddar cheese
$30 / 3 = 10 pounds of cheedar cheese
Only Swiss cheese?
Pounds of cheedar cheese obtainable with $30
Total budget / cost per pound of Swiss cheese
$30 / 5 = 6 pounds of Swiss cheese
A mixture of both cheeses?
What linear equation in standard form can she use to model the situation?
Let amount of cheddar cheese she can get = a
Let amount of Swiss cheese she can get = b
Hence,
(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount
(3 * a) + (5 * b) = $30
$3a + $5b = $30
And I is throwing money at birthday party. She has $100 to spend. She buys a cake for $30, a giant balloon for $20, and 10 cups that each cost the same price. Create and solve any equation to determine the cost of each cup.
Answer:
$5 per cupStep-by-step explanation:
Step one:
given data
total amount = $100
cost of cake=$30
cost of balloon=$20
let the cost of 1 cup be x
so cost of ten cups = 10x
Step two:
The expression for the total amount is given as
100=30+20+10x
100=50+10
100-50=10x
50=10x
divide both sides by 10
x=50/10
x=$5
the cost of one cup is $5
the cost of ten cups is 5*10= $50
which of the following is the equation logx4=-2 written in exponential form
1. The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The value of √e⁷/e⁵ will be;
⇒ e
3. The equivalent expression of 3 will be;
⇒ ln e³
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
1. The expression is the equation [tex]log_{x} 4 = - 2[/tex].
2. The equation is √e⁷/e⁵.
3. The number is 3.
Now,
The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] is calculated as;
[tex]log_{x} 4 = - 2[/tex]
By the definition of logarithmic, we get;
4 = x⁻²
Hence, The exponential form of the equation [tex]log_{x} 4 = - 2[/tex] will be;
⇒ x⁻² = 4
2. The equation is √e⁷/e⁵.
Solve as;
√e⁷/e⁵ = √ e ⁷ ⁻ ⁵
= √ e²
= e
Thus, The value of √e⁷/e⁵ will be;
⇒ e
3. Since, by the definition of logarithmic;
[tex]ln_{e} e = 1[/tex]
So, By option 1;
[tex]ln_{e} e^3[/tex] = [tex]1 * 3[/tex] = [tex]3[/tex]
Thus, The equivalent expression of 3 will be;
⇒ ln e³
Learn more about the expression visit:
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Hannah has another candle that is 14 cm tall. How fast must it burn in order to also be 6 cm tall after 4 hours? Explain your thinking.
Answer:
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Step-by-step explanation:
Lets solve!
We have to find out how much of the candle needs to be burned!
14cm - 6cm = 8cm
The candle must burn 8cm in 4 hours!
Lets find out how much the candle burns in 1 hour.
[tex]\frac{8cm}{4hours}[/tex]= 2cm per hour
The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.
Woohoo, We did it! Would you like to mark my answer as brainliest? I would love that!
A loon is a bird that dives in the ocean for its food. It can dive to a depth of 12ft in 8 seconds. How many feet does it dive per second? (Write your answer as a decimal) *
Answer: 1.5ft/seconds
Step-by-step explanation:
From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.
The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:
= 12ft / 8sec
= 1.5ft/seconds
Jeremiah's credit card has an APR of 22% calculated on the previous monthly
balance. His credit card record for the last 7 months is shown in the table
below.
End of Previous
Month Balance
$0.00
2 $255.87
3 $297.39
4 $319.80
5 $318.72
6 $531.98
7 $460.64
New
Charges
$255.87
$156.83
$96.96
$133.05
$267.42
$78.91
$301.48
Payment
Received
$0.00
$120.00
$80.00
$140.00
$60.00
$160.00
$220.00
Finance
Charges
$0.00
$4.69
$5.45
$5.86
$5.84
$9.75
$8.45
Principal
Paid
$0.00
$115.31
$74.55
$134.14
$54.16
$150.25
$211.55
New
Balance
$255.87
$297.39
$319.80
$318.72
$531.98
$460.64
$550.57
On what amount of money will Jeremiah be charged interest for month 8?
A. $301.48
B. $220.00
Answer: it's $550.57
Step-by-step explanation:
Vector Vector P Q has an initial point at (3, 3) and its terminal point is at (5, 7). Vector Vector R S has an initial point at (4, –6) and its terminal point is at (1, –5). What is the component form of vector Vector P Q minus R S?
Answer:
5,3
Step-by-step explanation:
Took on Ed
Answer:
5,3
Step-by-step explanation
Vector PQ in component form is 2,4 (5-3),(7-3)
Vector RS in component form is -3,1
After subtracting -3,1 from 2,4 you get 5,3
Answer: 5,3