Steps to solve:
6x + 6 = 6(x - 1)
~Distribute left side
6x + 6 = 6x - 6
~Subtract 6 to both sides
6x = 6x - 12
~Subtract 6x to both sides
0 = -12
No solutions.
Best of Luck!
Hey there!☺
[tex]Answer:\boxed{\text{There are no solutions.}}[/tex]
[tex]Explanation:[/tex]
[tex]6x+6=6(x-1)[/tex]
6x + 6 = (6)(x) + (6)(-1) Distribute
6x + 6 - 6x = 6x - 6 - 6x Subtract 6x from both sides
6 = -6
6 - 6 = -6 - 6 Subtract 6 from both sides
0 = -12
No solutions.
Hope this helps!
Jamie has a half-sheet cake. If she has six friends, how much will each one get?
A. 1/4
B. 1/12
C. 1/3
D. 1/6
Answer:
The answer is B. 1/12Step-by-step explanation:
step one:
From the problem state, we can actually conclude that Jamie wants to share the half sheet of cake among her 6 friends
step two:
we can express this problem mathematically as
[tex]=\frac{1}{\frac{2}{6} }[/tex]
we can inverse the denominator and use a multiplication sign instead
[tex]\\\\= \frac{1}{2}*\frac{1}{6}[/tex]
multiplying both denominators we have
[tex]\\\\= \frac{1}{12}[/tex]
The answer is B 1/12
Multiply (−7)(2)(−2). −28 −14 28 14
Answer:
43,025,92
Step-by-step explanation:
Answer:
The answer to this question is 28 because -7 times 2 equals 14 times -2 equals 28
Nicholas volunteers at a local soup kitchen and he notices how quickly the kitchen is going through its stock of canned goods. Below is the graph representing the data Nicholas found. Find the slope and y-intercept of the line.
Answer:
m=-63 b=825
Step-by-step explanation:
To get m, make sure you use rise over run. y2-y1 over x2-x1
Answer:
m (slope) = -63
b (y-intercept) = 825
Step-by-step explanation:
I had the same question.
Question 4 of 10
What is the solution to this equation?
-8x + 4 = 36
A. X = -5
B. X= -4
C. X = 5
D. x = 4
SUBMIT
Answer:
The answer is B, -4
Step-by-step explanation:
Subtract 4 on both sides
[tex]-8x=32\\[/tex]
Divide both sides by -8
[tex]x=-4[/tex]
Solve the equation 3x+5=20
Answer:
x = 5
Step-by-step explanation:
Let's simplify this by subtracting 5 from both sides:
3x = 15
Isolate x by dividing both sides by 3:
x = 5
Ivan has $8.75 in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?
Answer:
25 quarters50 nickelsStep-by-step explanation:
Since there are 2 nickels for every quarter, we can group the coins into groups consisting of 1 quarter and 2 nickels. Such a group will be worth 35 cents. So, the number of groups in $8.75 is ...
$8.75/$0.35 = 25
25 groups of coins will have ...
25 quarters
50 nickels
On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.) b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.) c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
This question is incomplete, the complete question is;
Just how accurate are the weather forecasts we hear everyday? The table compares the daily forecast with a city's actual weather for a year.
FORECAST ACTUAL
Forcast Rain No Rain
Rain 28 63
No Rain 7 267
a) On what percent of days did it actually rain? 24.9% (Round to one decimal place as needed.)
b) On what percent of days was rain predicted? nothing% (Round to one decimal place as needed.)
c) What percent of the time was the forecast correct? nothing% (Round to one decimal place as needed.)
Answer:
a) the percentage of days it actually rained = 9.6%
b) percentage of days rain was predicted = 24.9%
c) percentage of days forecast was correct = 80.8%
Step-by-step explanation:
First we get the total number of days;
28 + 63 + 7 + 267 = 365 days
a)
days it actually rained = ( 28 + 7 ) = 35
now the percentage of days it actually rained
35/365 × 100 = 9.58% ≈ 9.6%
b)
days rain was predicted = ( 28 + 63 ) = 91
now percentage of days rain was predicted
91/365 × 100 = 24.93% ≈ 24.9%
c)
days forecast was correct = ( 28 + 267 ) = 295
now percentage of days forecast was correct
295/365 × 100 = 80.82% ≈ 80.8%
Elaine wants to buy a couch for $899.99 if she pays $69.75 in sales tax what is the sales tax percent explain steps
Answer:
the sales tax percent is therefore: 7.75%
Step-by-step explanation:
The sales tax she paid is $69.75, for a sofa whose sale price is $899.99.
Since $69.75 is the unknown (x) percent of $899.99, then we write this statement in math terms as:
69.75 = x * 899.99
solving for x we get:
x = 69.75 / 899.99
x = 0.0775
this is the decimal form of the percent, and in order to write it as percent, we multiply it by 100:
the sales tax percent is therefore: 7.75%
evaluate -12 + 5= PLEASE HELP IF YOU KNOW THE ANSWER PLEASE SHOW WORK!? THANK YOU!
Answer:
-7
Step-by-step explanation:
Answer:
-12+5=-7
this is similar to having a debt of $12 when you pay $5 when you pay $5 you are left with a debt of $7 so the answer is -7
If 6 more than the product of a number and - 2 is greater than 10, which of the following could be that number?
Answer:
-2x + 6 > 10
Step-by-step explanation:
Let the unknown number be x
the product of x and -2 is -2x
6 more than -2x is written as
-2x + 6
if the result of the above is greater than 10, then
-2x + 6 > 10
The function f (x )equals 2.9 square root of x plus 20.1, models the median height, f(x), in inches, of boys who are x months of age and for girls the function is f (x )equals 3.1 square root of x plus 19. Use a calculator to find the median height for both a boy and a girl who is 24 months old. Repeat the process for a child 48 months old. The actual median height for boys 48 months old is 40.8 inches and 40.2 inches for girls 48 months old. Does the model overestimate or underestimate the actual median heights and by how much
Answer:
Kindly check explanation
Step-by-step explanation:
Given the models for the median height of biys and giels:
BOY:
f(x) = 2.9√x + 20.1
GIRL:
f(x) = 3.1√x + 19
If x = 24 months
BOY:
HEIGHT = 2.9√24 + 20.1
= 2.9× 4.8989794 + 20.1
= 14.207040 + 20.1
= 34.307 inches
GIRL:
HEIGHT = 3.1√24 + 19
= 3.1 × 4.8989794 + 19
= 15.186836 + 19
= 34.1868 inches
If x = 48
Boy:
HEIGHT = 2.9√48 + 20.1
= 2.9× 6.9282032 + 20.1
= 20.091789 + 20.1
= 40.19 inches
Actual median height = 40.8
Hence, model underestimates by (40.80 - 40.19) = 0.61 inches
Girl:
HEIGHT = 3.1√48 + 19
= 3.1 × 6.9282032 + 19
= 21.477430 + 19
= 40.48 inches
Actual median height = 40.20
Hence, model overestimates by (40.48 - 40.20) = 0.28 inches
1) 16 is 45% of what Number
2) 5 is what percent of 18 ?
my teacher gave us the answer but can you show how you did it the Cross multiply method thank you
Answer:
i solved it .I hope you got it too
plz mark brainliest.
Let A be the set of all integers which are 3 more than some perfect square. Here are some examples of such integers are: 4 = 1 + 3, 7 = 4 + 3, 3 = 0 + 3, 28 = 25 + 3, Write out the set A as succinctly as you can, using the set-builder notation.
Answer:
[tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
Step-by-step explanation:
Required
Represent set A using set-builder notation
First, we need to understand the general rule:
[tex]0^2 + 3 = 0 + 3 = 3[/tex]
[tex]1^2 + 3 = 1 + 3 = 4[/tex]
[tex]2^2 + 3 = 4 + 3 = 7[/tex]
[tex]5^2 + 3= 25 + 3 = 28[/tex]
-----
--
--
In general, we can write it as:
[tex]n^2 + 3[/tex]
Next, is to determine the values of n;
Since [tex]n^2[/tex] is a perfect square of [tex]n[/tex], then, the values of n is 0,1,2,3,.....
Hence; Set A can be represented as: [tex]A = \{x|x\ E\ n^2 + 3, n \geq 0 \}[/tex]
A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly located on those pages. Find the probability that a random selection of 50 pages will contain no errors. Find the probability that 50 randomly selected pages will contain at least two errors.
Answer:
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that the selection of the random pages will contain at least two errors is 0.2644
Step-by-step explanation:
From the information given:
Let q represent the no of typographical errors.
Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let [tex]\mu[/tex] be the random variable that follows a Poisson distribution, then mean [tex]\mu = \dfrac{10}{500}= 0.02[/tex]
and the mean that the random selection of 50 pages will contain no error is [tex]\lambda = 50 \times 0.02 =1[/tex]
∴
[tex]Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}[/tex]
Pr(q =0) = 0.368
The probability of a selection of 50 pages will contain no errors is 0.368
The probability that 50 randomly page contains at least 2 errors is computed as follows:
P(X ≥ 2) = 1 - P( X < 2)
P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )] since it is less than 2
[tex]P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ][/tex]
[tex]P(X \geq 2) = 1 - [0.3678 +0.3678][/tex]
[tex]P(X \geq 2) = 1 -0.7356[/tex]
P(X ≥ 2) = 0.2644
The probability that the selection of the random pages will contain at least two errors is 0.2644
The possibility of a random selection of 50 pages will contain at least two errors is [tex]0.264242[/tex].
To understand the calculations, check below
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.
Let [tex]X[/tex] denotes the number of errors on [tex]50[/tex] randomly selected pages.
[tex]X\sim Poisson(\frac{50}{500}\ast 10)[/tex] or [tex]X\sim Poisson(1)[/tex]
The probability mass function of [tex]X[/tex] is,
[tex]P\left ( X=x \right )=\frac{e^{-1}\ast 1^{x}}{x!}=0,1,2...[/tex]
Now,
The probability that a random selection of [tex]50[/tex] pages will contain no errors,
[tex]=P\left ( X=0 \right ) \\ =\frac{e^{1}\ast 1^{0}}{0!} \\ =0.367879[/tex]
Learn more about the topic of Probability: https://brainly.com/question/19032615
A wild animal generally stays at least x mi from the edge of a forest. For a rectangular forest preserve that is 2 mi
long and 5 mi wide, write a polynomial that represents the area of the available habitat for the wild animal.
(Note: diagram not drawn to scale)
Answer:
[tex]Area = 4x^2 - 14x + 10[/tex]
Step-by-step explanation:
See Attachment for Complete Question
Given
[tex]Width = 5mi[/tex] --- For the forest
[tex]Length = 2mi[/tex] -- --- For the forest
Required
Determine the area of the habitat
Since the distance between the animal's habitat is x mi on both sides;
The length and width of the habitat is:
[tex]Width = 5 - (x + x)[/tex]
[tex]Width = 5 - 2x[/tex]
[tex]Height = 2 - (x +x)[/tex]
[tex]Height = 2 - 2x[/tex]
The area is then calculated as follows;
[tex]Area = Width * Height[/tex]
[tex]Area = (5 - 2x) * (2 - 2x)[/tex]
Expand
[tex]Area = 5(2 - 2x) -2x(2 - 2x)[/tex]
Open Brackets
[tex]Area = 10 - 10x - 4x + 4x^2[/tex]
[tex]Area = 10 - 14x + 4x^2[/tex]
Reorder
[tex]Area = 4x^2 - 14x + 10[/tex]
Hence; the required polynomial for the habitat area is:
[tex]Area = 4x^2 - 14x + 10[/tex]
It is worth 50 points so please help
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
Answer:
12 inches is the maximum length for each cloth because 60,48 and 72 are all multiples of 12.
you will have 5 pieces of blue cloth, 4 pieces of gold cloth and 6 pieces of white cloth.
Step-by-step explanation:
what is the value of x? 42 45 3 15
Answer:
125 is the value of the question
which statement is true in this equation?
Answer:
B) Stan made a mistake in step one.
Step-by-step explanation:
B) Stan made a mistake in step one.
When he multiplied 8(n+20), he should have gotten 8n+160, not 8n+20.
Answer:
B
Step-by-step explanation:
He made a mistake in Step: 1
it's supposed to be
n+8n+8(20)=110
distributive property
Hope this helps :)
You divide a number by 3 add 6 then subtract 7. The result is 4 what is the number?
Hey there! I'm happy to help!
Let's call our number n. Here is the info we have.
(n/3)+6-7=4
We combine like terms.
(n/3)-1=4
We add 1 to both sides.
n/3=5
We multiply both sides by 3.
n=15.
Have a wonderful day! :D
Sarah is currently making $31,000 a year at her job and has been offered a raise to $33,170 per year. What would be the percent increase in her salary?
Answer:
7%
Step-by-step explanation:
The percentage increase is found as ...
increase/original × 100%
= (33170 -31000)/31000 × 100%
= 2170/31000 × 100% = 7%
Sarah's increase would be 7%.
The magnitude of an earthquake depending on the energy it produces can be modeled using the equation
M = 0.6666 log x - 3.2. Complete the sentences about the model.
The curve representing the relationship includes the point
The growth factor is
An earthquake with an energy level of has a magnitude of
Answer:
Step-by-step explanation:
7p = 644 solve for the variable
Answer:
p=92.
Step-by-step explanation:
7p=644
/7 /7 -----> divide by 7 on both sides
_______
p=92
Hope this helps!
Answer:
Divide both sides of the equation by 7
The variable is 92
Step-by-step explanation:
How do you do this question?
Answer:
p > 0
Step-by-step explanation:
∫₂°° e^(-px) dx
= ∫₂°° (e⁻ᵖ)ˣ dx
This is a geometric series.
A geometric series a(r)ˣ converges if -1 < r < 1.
-1 < e⁻ᵖ < 1
Since e⁻ᵖ is always positive:
e⁻ᵖ < 1
-p < 0
p > 0
What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...
Answer:
267
Step-by-step explanation:
let's say that
f(0)=-25
so in the sequence we are adding 4
so f(1)=-25+4=-21
and f(2)=f(1)+4=-25+4+4=-25 + 4(2)
so if you continue you will notice that
f(n)=-25+4(n)
so our question is
What is the 74th term of this arithmetic sequence?
so if f(0) is our first term, the 74th will be f(73)
so we can apply our formula
f(73)=-25+4(73)
=-25+292
=267
Can some fill this out for me please!!!
Answer:
Q2
a) 8 + - 8 = 0
b) -20 + 20 = 0
c) a+ - a = 0
Q3
3) Identity property
Answer:
1) 8 + - 8 = 0
2) -20 + 20 = 0
3) a+ - a = 0
Q3
3) Identity property
Step-by-step explanation:
What is the best base unit that is used to measure distance
Answer:
The correct answer is centimeter.
when rolling a die (1) what's the probability of getting an even number in two successive throws??
Answer: I think it would be a 50/50 chance of getting 2 even numbers.
I NEED THIS DONE SOON Find the solution set if the replacement set is b = {3, 3.5, 4, 4.5, 5} 28/b+9 = 16
-3 is less than or equal to W and W is less than or equal to 4
Answer:
-3 ≤ W ≤ 4
I hope this helps!
Use a scale of 2km to 1cm to find the length of a road
15km.
A. 6.0CM
B. 6.5CM
C. 7.0CM
D. 7.5CM
Question 14 of 60
Calculate the distance covered by running round a
circular field of radius 3.5cm
2 km = 1 cm
To Find:The length of the road of 15 km.
Solution:2 km = 1 cm
1 km = 1/2 = 0.5 cm
15 km = 0.5 × 15 = 7.5
Answer:The length of the road is 7.5 cm.
Therefore, Option D. 7.5 cm is correct.
