Answer:
x = -1.33333333333
Step-by-step explanation:
[tex]\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x+1-1=4x+9-1[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-2x=4x+8[/tex]
[tex]\mathrm{Subtract\:}4x\mathrm{\:from\:both\:sides}[/tex]
[tex]-2x-4x=4x+8-4x[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6x=8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6x}{-6}=\frac{8}{-6}[/tex]
[tex]x=-\frac{4}{3}[/tex]
[tex]x=-1.33333333333[/tex]
~Lenvy~
How can you find percents
Answer:
To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.
Step-by-step explanation:
. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%
hope this will help
in each diagram line p is parallel ANSWER FAST Pls
Answer:
choice A is correct
Step-by-step explanation:
the value of x should be 75
Help me someone please
Answer:
150
Step-by-step explanation:
since a circle is 360 degrees, add up all of the other degrees and then subtract from 360
Use the following information to answer the next five exercises. a hospital is trying to cut down on emergency room wait times. it is interested in the amount of time patients must wait before being called back to be examined. an investigation committee randomly surveyed 70 patients. the sample mean was 1.5 hours with a sample standard deviation of 0.5 hours
Considering that we have the standard deviation for the sample, the t-distribution should be used to solve this question.
When should the z-distribution and the t-distribution be used?If we have the standard deviation for the sample, the t-distribution should be used.If we have the standard deviation for the population, the z-distribution should be used.In this problem, there is a sample standard deviation of 0.5 hours, hence the t-distribution should be used.
More can be learned about the t-distribution at https://brainly.com/question/13873630
What single decimal multiplier would you use to decrease by 2% followed by a
3% decrease?
2% decrease= 0.98
3% decrease = 0.97
Carlos paid for 7 pallets of grass to be delivered.
Each pallet of grass cost $108.25.
Carlos paid $89.99 for delivery.
What is the total amount Carlos paid?
Answer:
$847.74
Explanation:
Each pallet → $108.257 pallets → $108.25 * 7 = $757.75total cost:
7 pallets cost + delivery cost $757.75 + $89.99$847.74Answer:
$847.74
Step-by-step explanation:
Given:
Cost of one pallet = $108.25Delivery charge = $89.99 Number of pallets in order = 7Total amount paid = (cost of one pallet x number of pallets ordered) + delivery charge
⇒ total = (108.25 x 7) + 89.99
= 757.75 + 89.99
= 847.74
help me pls i’ll reward brainliest
Answer:
D. 288π
Step-by-step explanation:
Volume = [tex]\frac{4}{3}[/tex]π[tex]r^3[/tex]
A = π [tex]\frac{4}{3} (6)^3[/tex]
A = π [tex]\frac{4}{3} (216)[/tex]
A = 288π
I hope this helps!
How many times greater is the value of 4 in 547 than the value of the 4 and 84
Answer:
10
Step-by-step explanation:
How many times greater is the value of 4 in 547 than the value of the 4 and 84?
547: 500 + 40 + 7
5 is in the hundreds place
4 is in the tens place
7 is in the ones place
84: 80 + 4
8 is in the tens place
4 is in the ones place
The value of 4 in 547 is 10 times greater than the value of 4 in 84.
Since the 4 in 547 is in the tens place, while the 4 in 84 is in the ones place.
Also, 4 * 10 = 40
Hope this helps!
Use the example above and determine the fraction of total interest owed. After the fourth month of a 12 month loan, the numerator is: {(n + ) + (nt ) + (n + ) + (n + and the denominator is: {(n) + (n + 1) + ... + (n + )} Therefore, the fraction is numerator/denominator (to the nearest tenth) = %.
Answer:
Step-by-step explanation:
The picture does not show the example which will help in determining whether it is simple or compound interest calculation.
Based on what is shown, the answer is:
the numerator is: {(n + 11) + (n + 10) + (n + 9 ) + (n + 8) = 4n + 38;
and the denominator is: {(n) + (n + 1) + ... + (n + 11) = 12n + 66.
Therefore, the fraction is numerator/denominator:
= (4n + 38) / (12n + 66)
In this case n=1, the fraction = 42/78 = 0.53846
= 53.85%
What is the approximate area of the unshaded region under the standard normal curve below? Use the portion of the standard normal table given to help answer the question. A normal curve with a peak at 0 is shown. The area under the curve shaded is 1 to 2. Z Probability 0. 00 0. 5000 1. 00 0. 8413 2. 00 0. 9772 3. 00 0. 9987 0. 14 0. 16 0. 86 0. 98.
The approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
It is given that the standard normal curve shows the shaded area in the curve.
It is required to find the approximate area of the unshaded region under the standard normal curve.
What is a normal distribution?It is defined as the continuous distribution probability curve which is most likely symmetric around the mean. At Z=0, the probability is 50-50% on the Z curve. It is also called a bell-shaped curve.
In the curve showing the shaded region area between:
[tex]\rm P(1 < Z < 2)[/tex]
First, we calculate the shaded region area:
From the data given the value of Ф(1) = 0.8413.
P(Z<1) = 0.8413 and
P(Z<2) = 0.9772
The area of the shaded region:
= P(Z<2) - P(Z<1)
= 0.9772 - 0.8413
= 0.1359
The area of the unshaded region:
= 1 - The area of the shaded region ( because the curve is symmetric)
= 1 - 0.1359
= 0.8641 ≈ 0.86
Thus, the approximate area of the unshaded region under the standard normal curve is 0.86 the option third is correct.
Know more about the normal distribution here:
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Hello I need help on this math question
Answer:
A. 904.32 ft cubed
Step-by-step explanation:
please help. please help.
Answer:
A. $3960
B. r=40x^2+400x+3000
C. $200
Step-by-step explanation:
A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC
Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.
Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22
So Total Revenue is: R= 180 x 22= 3960
B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.
Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.
Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.
R= (100+2x)(30-2x) = -40x^2+400x+3000
C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).
That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200
Write the following expression using an exponent.
1x7x7x7x7x7
Answer:
7^5
Step-by-step explanation:
Hopefully this helps :)
find the volume of a cylinder with base diameter 140cm and height 10cm. (22/7)
Step-by-step explanation:
could not find the formula ?
the volume of a cylinder is ground area × height.
and the ground area is a circle.
so, all in all we get
pi×r²×h
with r being the radius (half of the diameter), and h being the height.
in our case we get
pi×(140/2)²×10 = pi×70²×10 = 49000×pi =
= 153,938.04... cm³
Look at the photo attached
Answer:
Step-by-step explanation:
A = true
D = true
Line M is represented by the following equation: x + y = −1 What is most likely the equation for line P so the set of equations has infinitely many solutions? (4 points) Group of answer choices x − y = 1 2x + 2y = 4 2x + 2y = −2 2x + 2y = 2
The most likely equation for line P so the set of equations has infinitely many solutions is 2x + 2y = -2.
How to know an equation with infinitely many solutions?If a linear equation has the same variable term and the same constant value on both sides of the equation, it has infinitely many solutions.
Therefore, let's check for the equation with the same terms and constant with the equation :
x + y = -1
Hence, the most likely equation of line p is as follows:
2x + 2y = -2
divide both sides by 2
2x/ 2 + 2y / 2 = -2 / 2
x + y = - 1
The equation of the line will be 2x + 2y = -2
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a
The diameter of a semicircle is 6 yards. What
is the semicircle's perimeter?
d=6 yd
Use 3.14 for a.
Given -
the diameter of a semicircle is 6 yards.ie. d = 6yd
ps - use 3.14 for a
To find -
the semicircle's perimeterSolution -
As we know the formula to find the perimeter of the semicircle is 2r + πr.
But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.
Hence, d = 6
r = 6/2
r = 3 yd
Perimeter of semicircle = 2r + πr
Perimeter of semicircle = 2(3) + 3.14(3)
Perimeter of semicircle = 15.42 yd
Hence forth the semicircle's perimeter is 15.42 yd
The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?
❦ Explanation -:Given :
Diameter of the semicircleNeed to find :
PerimeterSolution :
[tex] \small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}[/tex]
We know,
[tex] \large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}[/tex]
[tex] \small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}[/tex]
[tex] \small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}[/tex]
We know,
[tex] \large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}[/tex]
Where,
r stand for radiusAssuming π as 3.14Substituting the values we get
[tex] \small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}[/tex]
[tex] \small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}[/tex]
[tex] \small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}[/tex]
[tex] \rule{92mm}{3pt}[/tex]
Which graph represents the solution to the compound inequality?
4x + 8<-16 or 4x + 824
O4+
=>
-7 -6 -5 4 -3 -2 -1 0 1
O4
-7 6 5 4 3 2 1 0
1
O
+ +
-7 -6 -5 4 -3 -2 -1 0 1
O
-7 -6 -5 4 -3 -2 -1 0 1
Answer:
We know that the slope or rate of change of the function can be:
positive
negative
zero, or
undefined
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
We know that the slope or rate of change of the function can be:
positive
negative
zero, or undefined
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is y = mx+b
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.
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I need this asap give me the right answer
Answer:
Its 320 i think its so many numbers my eyes cant keep up
Step-by-step explanation:
just add em all up
solve pls brainliest
Answer:
a) 441 gallons
b) -243 fish
Step-by-step explanation:
For a), multiply the 7 gallons of water by the 63 minutes to get 441 total gallons of water added
For b), multiply the 27 fish by 9 days to find the total decrease in fish, which is -243 fish.
Hopefully this helps - let me know if you have any questions!
Ram is 3 years younger than Shyam and Krishna is 5 years older than Shyam . If the product of percentages of Ram and Krishna is 48, How old is Shyam?
Answer:
Shyam would be 43 years old
Step-by-step explanation:
Ram is 49 years old, since she is 3 years younger than Shyam and Krishna is 48 years old than Shyam
3x + y = 4 6x + 4y = 6 equivalent equation and solution
Answer:
x = 5/3 , y = -1
Step-by-step explanation:
Given:
[tex]\begin{bmatrix}3x+y=4\\ 6x+4y=6\end{bmatrix}[/tex]
Solve:
[tex]\mathrm{Substitute\:}x=\frac{4-y}{3}[/tex]
[tex]\begin{bmatrix}6\cdot \frac{4-y}{3}+4y=6\end{bmatrix}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\begin{bmatrix}2y+8=6\end{bmatrix}[/tex]
[tex]\mathrm{For\:}x=\frac{4-y}{3}[/tex]
[tex]\mathrm{Substitute\:}y=-1[/tex]
[tex]x=\frac{4-\left(-1\right)}{3}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=\frac{5}{3}[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]x=\frac{5}{3},\:y=-1[/tex]
3(5/3) + -1
5-1 = 4
True
6(5/3) + 4(-1)
10 -4 = 6
True
~lenvy~
: the mass of an average classroom meter stick is roughly 0. 2 kg.
the mass of the moon is approximately 7*1022 kg.
question 1: how many meter sticks does it take to equal the mass of the moon? explain or show your reasoning
Using proportions, it is found that it takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, one meter stick has a mass of 0.2 kg. How many meter sticks are needed for a mass of [tex]7 \times 10^{22} \text{kg}[/tex]? The rule of three is given by:
One meter stick - 0.2 kg
x meter sticks - [tex]7 \times 10^{22} \text{kg}[/tex]
Applying cross multiplication:
[tex]0.2x = 7 \times 10^{22}[/tex]
[tex]x = \frac{7 \times 10^{22}}{0.2}[/tex]
[tex]x = 35 \times 10^{22}[/tex]
[tex]x = 3.5 \times 10^{23}[/tex]
It takes [tex]3.5 \times 10^{23}[/tex] meter sticks to equal the mass of the moon.
More can be learned about proportions at https://brainly.com/question/24372153
Problem What is the volume of a cylinder with base radius 4 and height 7?
Answer:
351.86
Step-by-step explanation:
V = π r² h
V = (3.14) (4)² (7)
V = (3.14) (16) (7)
V = 351.86
help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
Which choices are equivalent to the quotient below? Check all that apply.
Answer:
C
Step-by-step explanation:
4
_
2 can be multiple by 3 and that will be same as 12
_
6
solve for Surface Area
Answer:
325.76
Step-by-step explanation:
72+104+149.76
What is the area of a regular pentagon with a side of 15 cm?
Answer:
hello.
• Area: 387.11cm²
•A (side)= 15 cm.
hope this helps.
You have $1000 invested for 3 years and get 10% interest.
Answer:
$1331 compounded annually after three years
Step-by-step explanation:
Given the following question:
1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....
Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]
Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.
Hope this helps.
Lin is trying to earn money to go to knott's. She already has $15 saved up, and her dad is paying her $3 per chore she does. She needs at least $52 to get into the park.
Answer:
Lin needs to do 16 more chores if she wants to be able to pay the park fee
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!