Answer:
20+2C
Step-by-step explanation:
sum means addition
if Craig's age is c than twice his age is 2xC, also expressed as 2C
20+2C
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
How to create a quadrilateral with vertices at the following points PLEASE ASAP
Answer:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
Step-by-step explanation:
The points are in the form (x,y) this means you count x (right) if positive and left if negitive, for y up is positive and down negitive. for example the point (3,-2) would be three to the right two down
Find the equation to graph when 5x-4<0
Hey there!
5x-4<0
=> 5x < 0 + 4
=> 5x < 4
Divide both sides by 5
=> 5x/5 < 4/5
=> x < 4/5
x < 0.8
Graph in image
y = 7x + 20
4x - y = -11
solve by substitution
Answer:
x = - 3, y = - 1
Step-by-step explanation:
y = 7x + 20 -----> equation 1
4x - y = - 11
4x - ( 7x + 20 ) = - 11
4x - 7x - 20 = - 11
- 3x = - 11 + 20
- 3x = 9
x = 9 / - 3
x = - 3
Substitute x = - 3 in equation 1,
y = 7 ( - 3 ) + 20
= - 21 + 20
y = - 1
Hence,
x = - 3
y = - 1
Answer:
x = -3y = -1Explanation:
y = 7x + 20 __ equation 1
4x - y = -11
y = 11 + 4x __ equation 2
using substitution method,
11 + 4x = 7x + 20
4x - 7x = 20 - 11
-3x = 9
x = -3
Find y,
y = 7x + 20
y = 7(-3) + 20
y = -1
A company is designing a new cylindrical water bottle. The volume of the bottle will be 176 cm ^3. The height of the water bottle is 7.8 cm. What is the radius of the water bottle? Use 3.14 for pi
Step-by-step explanation:
volume = 176 cm³
height = 7.8
radius = ?
pi = 3.14
volume of cylinder = πr²h
176 = 3.14 × r² × 7.8
176 = 24.492 × r²
176/24.4 = r²
7.21 = r²
√7.21 = r². ( Using long division )
r = 2.69 ( approx. )
WILL GIVE BRAINLIEST.
Part A: The area of a square is (16x^2 + 24x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (4x^2 − 49y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Part A: (4x+3) (4x+3)
Part B: 4 (x+y) (x-y)
(If this is not the answer you are looking for, sorry)
Step-by-step explanation:
Part A: (16x²+24x+9)
FOIL
(4x + 3) (4x +3) = 16x²+24x+9
(4x) (4x) = 16x²
(4x) (3) = 12x
(4x) (3) = 12x
12x + 12x = 24x
(3) (3) = 9
Part B: (4x²-4y²)
4 (x² - y²)
You have to factor it completely
4 (x + y) (x - y)
(Make sure to use FOIL to double check)
Matt has rode his bike 700 meters from the front of the church. He has rode his bike for how many centimeters?
70,000 centimeters
Step-by-step explanation:
1 meter = 100 centimeters
700 x 100 =70,000
What is the slope of the line that is parallel to the line whose equation is 4x+y-2=0?
Answer:
4x+y-4=0
Step-by-step explanation: For an equation to be parallel to another all it needs is the same slope but a different y-intercept. So you can really other equations like 4x+y-3=0, 4x+y-5=0, 4x+y-6=0, etc. can be the answer to your problem.
PLEASE HELP ME IM NOT GOOD AT MATH
Veronica rolls a six-sided die 28 times.
How many times should she expect the die to land on an even number?
Enter your answer as a number, like this: 42
Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
Please help I need to complete this today
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!
You want to purchase a Christmas tree, normally priced at $364. 0. It is on sale for $72. 80. What percent of a discount are you getting? List your answer as a whole number
Answer:
20% off
Step-by-step explanation:
Divide:
72.8/364
Answer:
.20
Convert:
.20=20%
The shopkeeper giving 80% discount on the Christmas tree during the sale.
What is discount?A discount is an amount that is subtracted from the regular price of an item.
What is discount percent formula?[tex]discount \ percent = \frac{original \ price - final \ price }{original \ price } \times 100[/tex]
According to the given question.
The marked price of the Christmas tree i.e. original price = $364.
The price of the Christmas tree on sale i.e. final price = $72.80
So,
The discount given on the Christmas tree
= Original price - final price
= $364 - $72.80
= 291.2
Therefore,
Discount percent = [tex]\frac{291.2}{364} (100)= 80 \ percent[/tex]
Hence, the shopkeeper giving 80% discount on the Christmas tree during the sale.
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The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.
How many students have a name that's longer than 8
letters?
Answer:
2
Step-by-step explanation:
One we student has 9 letters and another has 10 letters
Write the following expression using an exponent.
1x7x7x7x7x7
Answer:
7^5
Step-by-step explanation:
Hopefully this helps :)
Help what do I do do i just write y-3x+5 or solve it
Answer:
y=-3x+5
Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.
Answer:
y = -3x +5
Step-by-step explanation:
In general, do what the question asks you to do: write the equation of the line.
__
The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...
y = mx + b . . . . . . where m is the slope, b is the y-inercept
You are given m = -3 and b = 5, so the equation you are asked to write can be ...
y = -3x +5 . . . . . . this equation is the answer to the question
__
Additional comment
There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a given slope through a given point.
y -k = m(x -h) . . . . . . . line with slope m through point (h, k)
If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:
x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'
Another useful form is "standard form", which has ...
ax +by = c . . . . where a > 0, and a, b, c are mutually prime
For example, the equation for your line could be written in standard form as ...
3x +y = 5
Write an exponential function for the graph
A. Y=0.5(2)x
B. Y=2(0.5)x
C. Y=(2•0.5)x
D. Y=2(5)x
Answer: c
Step-by-step explanation: Simple addition with decimals.
the chef mixed a seasoning that costs $3 per ounce with a seasoning that costs $1.75 per ounce to create a 24-ounce mixture that costs $2 per ounce. how many ounces of the $3 per ounce seasoning did he use?
Answer:
4.8 ounces
Step-by-step explanation:
X= number of ounces for the $3.00 mixture of seasoning
$3.00/OZ + $1.75/ OZ = $2.00/ OZ We are adding the seasonings together to produce the 24 OZ mixture
X + 24-X = 24OZ To get the missing term we will subtract what we have from X
100 [(3.00)(X) + (1.75)(24-X)] = [(2.00)(24)] 100 to get rid of the decimals multiply both sides by 100
(300)(X) + (175)(24-X) = (200)(24) Multiply on each side, removing the parenthesis
300X + 4,200 - 175x = 4,800 Get all of the X's on one side of the equation remember to change the sign of 4,200
300X - 175X = 4,800 - 4,200 Combine Like Terms
125X = 600 Get X alone
125 125 To get X, we will divide both sides by 125
X = 4.8 OZ
The chef used 4.8 ounces of the $3.00 seasoning
is x+4 a factor of P(x)=4x^2-4x+8?
Answer:
(x^3-2x^2-4)*(x+2)
Step-by-step explanation:
please show your work and no links
and please do the one that are blank
Answer:
its blury
Step-by-step explanation:
Each side of the square below is 8 inches. A triangle inside of a square. The top of the triangle divides a side of the square into 2 equal parts of 4 inches. The triangle is shaded and the area to the right of the triangle is shaded. What is the probability that a point chosen at random in the square is in the blue region? 0. 25 0. 33 0. 66 0. 75.
The probability that a point is chosen at random in the square is in the blue region is 0.8.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As we know that the area of the shaded region is the sum of the area of triangle A and the area of triangle B. Therefore, the area of the blue shaded region is,
[tex]\text{Area of shaded region} = (\dfrac{1}{2} \times 8 \times 8) + (\dfrac{1}{2} \times 4 \times 8)[/tex]
[tex]= (32) + (16)\\\\= 48\rm\ in^2[/tex]
The area of the square can be written as,
[tex]\text{Area of Square} = \rm(Side)^2 = 8^2 = 64\ in^2[/tex]
Now, the probability that a point is chosen at random in the square is in the blue region can be written as,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]
[tex]\rm Probability = \dfrac{\text{Area of blue region}}{\text{Area of square}}\\\\Probability = \dfrac{48}{60} = 0.8[/tex]
Hence, the probability that a point is chosen at random in the square is in the blue region is 0.8.
Learn more about Probability:
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t divided by 5 = 2.9
What step should be performed on both sides of this equation to find the solution?
Add 5.
Subtract 5.
Multiply by 5.
Divide by 5.
Answer:
multiply by 5
Step-by-step explanation:
Answer:
3 / C. Your answer is multiply by 5!!!!!
Step-by-step explanation:
Hope this helps!
The local college has a swimming pool that measures 50m long and 25m wide if u swam from one corner to the other how far would u swim
Answer:
55.9 m
Step-by-step explanation:
If you swam from one cornee to the other, you divide the rectangle into 2 right triangles
the diagonal is a common hypothenus of the triangles
applying pytha
C² = A² + B²
C² = 25² + 50²
C² = 625 + 2500
C² = 3125
C = sqrt 3125
C = 55.9 m
Answer:
105 cubic meters
Step-by-step explanation:
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%
3/5 of an apple tree are ripe what PERCENT of the tree is NOT ripe?
Answer:
40 percent
Step-by-step explanation:
100 / 5 = 20
⅕ = 20 percent
⅗ = 60 percent
100 - 60 = 40
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
in right triangle ABC, line CD is perpendicular to line AB, AD=9 cm DB=16 cm. Find CD and the area of triangle ABC
Answer:
8+8
Step-by-step explanation:
the answer to the whats C and D well c=8 and D=8
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
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
A prism is created using 2 regular pentagons as bases. the apothem of each pentagon is 2.8 centimeters. a regular pentagonal prism is shown. the apothem of each pentagon is 2.8 centimeters. the height of the prism is (2 x 1). all sides of the pentagon are congruent. which expression represents the volume of the prism, in cubic centimeters? 9x2 7x 14x2 7x 16x2 14x 28x2 14x
The expression that represents the volume of the prism, in cubic centimetres is [tex]28.476(2x+1) \: \rm cm^3[/tex] approx
How to find the volume of a prism?If the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross section is same as its base, then its volume is:
[tex]V = B \times h[/tex]
where h is the height of that prism and B is the area of the base of that prism.
For this case, we are provided a prism which has pentagon as its cross sections, and its height is [tex]2x + 1[/tex] units.
Let B be the area of those pentagons, then:
Volume of the prism = [tex]B(2x + 1) \: \rm cm^3[/tex]
It is provided that the apothem of the pentagon is 2.8 cm.
An n sided regular polygon has internal angles' sum as 180(n-2)°
Thus, each internal angle would be of 180(n-2)/n°
For n = 5, this comes as 108°
Since the line AO is bisecting the internal angle, the angle OAB is o of 108/2 = 54°
Using the tangent ratio, we get:
[tex]\tan(54^\circ) = \dfrac{|OD|}{|AD|}\\\\|AD| = \dfrac{2.8}{\tan(54^\circ)} \approx 2.034 \: \rm cm[/tex]
Thus, area of the triangle AOD = [tex]\dfrac{1}{2} \times |AD| \times |OD| \approx \dfrac{1}{2} \times 2.034\times 2.8 = 2.8476 \: \rm cm^2[/tex]
There are 10 such triangles, all congruent, thus:
Area of pentagon = [tex]B \approx 10 \times 2.8476= 28.476 \: \rm cm^2[/tex]
Thus, volume of the pentagonal prism is:
[tex]V = B \times h \approx 28.476(2x+1) cm^3[/tex]
Learn more about volume of a prism here:
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Answer:
14x^2+7x
B
Step-by-step explanation:
I did the test.
Math homework, thanks
Answer:
X=79
Step-by-step explanation:
180-135=45
45+56=101
180-101=79