Answer: the best coupon for this case is WELCOME25, and the cost will be $30.
Step-by-step explanation:
We know that:
Price for pans = $22
Price for pots = $9.
If the customer buys two pots and one pan, he would pay::
C = 1*$22 + 2*$9 = $40.
If the customer uses the coupon 2POTSFOR1
Then he will pay only one of the pots, and the total cost will be:
C = 1*$22 + 1*9 = $31.
If the customer uses the WELCOME25 coupon, then the cost will be a 75% of the original cost.
if 100% = $40
then:
75% = C
Where
We can take the quotient of these equations and get:
(C/$40) = (75%/100%)
C = (75%/100%)*$40
C = 0.75*$40 = $30
Then the best coupon for this case is WELCOME25, and the cost will be $30.
If you went to school at 7:55 a.m. what time will it be in 4 hours?
Answer: 11:55 I hope this helps Have a nice day
Step-by-step explanation:
The base of a triangle is 4 cm greater than the height the area is 30 cm² find the height and the length of the base
Answer:
answer is 15 cm²
plz give me the brainliest
Answer:
height = 6 cm
Base = 10 cm
Step-by-step explanation:
Let height = h cm
Base = h + 4
Area of triangle = 30 cm²
[tex]\frac{1}{2}bh = 30\\\\\frac{1}{2}*( h + 4) *h = 30\\[/tex]
Multiply the equation by 2
(h + 4) * h = 30*2
h*h + 4*h = 60
h² + 4h = 60
h² + 4h - 60 = 0
Product = -60
Sum = 4
Factors = 10, (-6)
h² + 10h - 6h - 6 * 10 = 0
h(h + 10) - 6(h + 10) = 0
(h +10)(h - 6) = 0
{Ignore h + 10 = 0 because measurements will not be in negative}
h - 6 = 0
h = 6 cm
b = 6 + 4 = 10 cm
Minimize F = 3a + 4m if ma = 12. Assume a > 0, m > 0.
Answer:(x +3)
Step-by-step explanation:
F. L. (x + 3) (x – 5)= x · x + (–5) · x + 3 · x + (–3) · 5. I. First. Outer Inner. Last. O. = x 2 – 5x + 3x – 15 ... Suppose Monica's current office is 7 feet by 7 feet. How much ... 12 in. c in. 36 ft. 15 ft c ft ? ft. 30 ft. 15 ft. 2 m. 4 m b m. 882 Prerequisite Skills ... Number of. Sit-Ups. Frequency. 0–4. 8. 5–9. 12. 10–14. 15. 15–19. 6. 20–24. 18.
Answer:
Min value of F = 24
It happens when m = 3 and a = 4.
==========================================================
Explanation:
Start with ma = 12 and Solve for 'a' to get a = 12/m
Plug it into the other equation to get
F = 3a + 4m
F = 3(12/m) + 4m
F = 36/m + 4m
F = 36/m + (4m^2)/m
F = (36+4m^2)/m
The equation above is in the form F = a/b where a = 36+4m^2 and b = m
Applying derivatives to each piece gives a' = 8m and b' = 1
So,
F = a/b
F ' = (a/b)'
F ' = (a' * b - a * b')/(b^2) .... quotient rule
F ' ( 8m*m - (36+4m^2)*1 )/(m^2)
F ' = (8m^2 - 36 - 4m^2)/(m^2)
F ' = (4m^2 - 36)/(m^2)
---------------------
The minimum of F occurs when F ' = 0
F ' = 0
(4m^2 - 36)/(m^2) = 0
4m^2 - 36 = 0*m^2
4m^2 - 36 = 0
4m^2 = 36
m^2 = 36/4
m^2 = 9
m = sqrt(9) or m = -sqrt(9)
m = 3 or m = -3
Keep in mind that m > 0, so we ignore m = -3
---------------------
Next we'll use the first derivative test. I find it's easier compared to the second derivative test because we don't have to do another derivative.
The function F(m) = (36+4m^2)/m has a potential min point at m = 3.
To see if we have an actual min point or not, we need to check the sign of F ' (m) when m = 2 and m = 4; that way we see if F ' (m) changes sign as we pass through m = 3.
First compute the derivative when m = 2
F ' (m) = (4m^2 - 36)/(m^2)
F ' (2) = (4(2)^2 - 36)/(2^2)
F ' (2) = (4*4-36)/(4)
F ' (2) = (16-36)/(4)
F ' (2) = -20/4
F ' (2) = -5
The actual value doesn't matter. All we're after is the sign of it. So we see that F ' (2) is negative which means we know that F(m) is decreasing when 0 < m < 3
Now let's try m = 4
F ' (m) = (4m^2 - 36)/(m^2)
F ' (4) = (4(4)^2 - 36)/(4^2)
F ' (4) = (4*16-36)/(16)
F ' (4) = (64-36)/(16)
F ' (4) = 28/4
F ' (4) = 7
This value is positive, so F(m) is increasing on the interval 0 < m < infinity
F(m) decreases on 0 < m < 3 and increases on 3 < m < infinity
So the F function goes downhill and then goes back uphill, and this lowest valley point is when m = 3
So we've confirmed that F(m) does indeed have a min value at m = 3.
Making a sign chart or interval might help visualize it.
---------------------
Now onto the last part.
Plug m = 3 into F(m) to find the min value of F
F = (36+4m^2)/m
F = (36+4*3^2)/3
F = (36 + 4*9)/3
F = (36 + 36)/3
F = 72/3
F = 24
The smallest F can get is 24 and it happens when m = 3 and a = 12/m = 12/3 = 4.
------------------------------
Side note: A non-calculus approach would have you graphing y = (36+4x^2)/x, and then using the graphing calculator to find the lowest point in the first quadrant. We're in this quadrant since a, m and F are all positive.
(x + 4y) - (-8x + 3y)
in simplest form
Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?
Answer:
1359.24
plz mark brainly
Step-by-step explanation:
Someone help me pls and thank you!
Answer:
The volume would increase.
Step-by-step explanation:
The substance could move freer than that of before.
30PTS!!! PLEASE HELP its probably really easy i am just dumb
Find k so that P(k,0) is equidistant from points A(1,2) and B(2,5).
Answer:
PA is equal to PB
now apply distance formula root under x2-x1whole square plus y2-y1 whole square...do the same in another side ,put the values you will get the and.
Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2
Answer:
A-F parallel to B-D
B-A parallel to D-F
B-F parallel to C-E
Step-by-step explanation:
Line segment A-F is parallel to B-D
Line segment B-A is parallel to D-F
Line segment B-F is parallel to C-E
1.5% of a number is 60
Answer:
4000
Step-by-step explanation:
divide 1.5% by 100 to remove the % symbol: 0.015
set you equation: 0.015x = 60
divide both sides by 0.015: x = 4000
Answer:
4000
I checked on RSM system
If you can walk 5.3 miles in 2.5 hours, how many minutes does it take to walk 3.18 miles? Round to 1 decimal.
Answer:
90min
Step-by-step explanation:
we can solve the first part by means of the rule of three:
5.3miles ----2.5 hour
3.18miles----x
then
[tex]x=\frac{3.18*2.5}{5.3} \\x=\frac{7.95}{5.3} \\x=1.5 hours[/tex]
Now we must convert hours to minutes:
1.5 hours = 1.5hours (1)
1.5 hours =1.5 hours [tex]\frac{60min}{1 hours}[/tex]
1.5 hours =(1.5)(60) min
1,.5 hours =90min
4.) What is the area of this shape?
Answer:
212
Step-by-step explanation:
2 1/2 simplified its pretty hard if i can get some help that would be cool
Answer:
i believe it is 2 1/2 also know as 2.50
Step-by-step explanation:
Please help me with the problem below thanks
Answer:
I would say get a small ruler thing and measure them off your screen and say (*Measure off my screen*), then say the distance the dots are from the center point is the same because those dots, when connected to the center point, makes the radius, and the radius stays the same around the circle.
You want a new sound system to go with your new television. If you saved $30 for the sound bar that had a 21% discount. What was the original price of the sound bar before the discount?
Answer:
$142.86
Step-by-step explanation:
In order to know the original price of the sound bar, it is best to write the problem above into a mathematical sentence first.
Given: $30 = the amount you were able to save
21% = the discount (this means that $30 is the 21% discount)
Let x be the original price of the sound bar.
The mathematical sentence is:
$30 is 21%(0.21) of x
x=[tex]\frac{30}{0.21}[/tex]
x= $142.857 or $142.86 (once rounded off to the nearest hundredths)
So, the original price of the sound bar before the discount is $142.86
Which Statement about 4(x-3) is True?
Answer: it’s b because if you times that by anything it will always be a product I think
Step-by-step explanation:
Answer correctly for Brainliest. Show work.
Answer:
B) y=x/6 is the linear equation
Step-by-step explanation:
a) y=x^6 is a quadratic equation
c) y=6/x is a rational equation
d) y=|x+6| is a absolute value equation
Answer:
B is linear.
Step-by-step explanation:
You can plug the equations into y= or your calculator and compare the graphs
The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle
Answer:
Shorter leg=3
Longer leg=4
Step-by-step explanation:
Equations
In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:
[tex]a^2=b^2+c^2[/tex]
Let's call
x=the shorter leg of the triangle
The longer leg is 1 cm longer than the shorter leg, thus:
x+1=the longer leg.
Since the hypotenuse is 5 cm long:
[tex]5^2=x^2+(x+1)^2[/tex]
Operating:
[tex]25=x^2+x^2+2x+1[/tex]
Swapping sides and simplifying:
[tex]2x^2+2x+1=25[/tex]
Subtracting 25:
[tex]2x^2+2x-24=0[/tex]
Dividing by 2:
[tex]x^2+x-12=0[/tex]
Factoring:
[tex](x-3)(x-4)=0[/tex]
We have two possible solutions:
x=3, x=4
The longer leg is x+1.
If x=3, x+1=4
If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.
Thus, the solution is:
Shorter leg=3
Longer leg=4
GR has coordinates g (2, -2) and R (3,8) and it is the result of the
dilation of HM centered at the origin. The coordinates of HM (-1,1) and M (-1.5,-4). Complete the following algebraic description that it represents the transformation of HM
Answer:
(- 2x , - 2y)
Step-by-step explanation:
A(x, y) ----> A' (kx, ky)
~~~~~~~~
H(- 1 ,1) ----> [k(- 1), k(1)] ----> G(2, - 2) ⇒ k = - 2
M( - 1.5, - 4) -----> [(- 2)(- 1.5) , (- 2)(- 4)] ------> R(3. 8)
k = - 2
Thus, the rule of dilation centered in origin is (- 2x , - 2y)
Please help me out quickkkkkkkkkkkkkk
Answer:
5 4/7 feet
Step-by-step explanation:
Allyson and Oliver have researched destinations and costs for a class trip. The Great Adventure theme park's entry fee is $15 plus they charge $1.50 at each ride using a Fast Pass. The Big Thicket amusement park charges $25 for its entry fee and $1.00 for each ride using a Fast Pass. To be able to ride all the rides, each student will need a Fast Pass for the day.
How many ride tickets must be purchased with the Fast Pass in order for the total cost at The Great Adventure theme park and The Big Thicket amusement park to be the same?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer:
20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.
Step-by-step explanation:
Entry fee for The Great Adventure theme park = $15
Charge for fast pass at each ride = $1.50
Entry fee for The Big Thicket amusement park = $15
Charge for fast pass at each ride = $1.00
Let the number of ride tickets purchased with Fast pass = [tex]x[/tex]
As per question statement, the total cost at each will be equal to that of each other.
Writing in the equation form, we get:
$15 + $1.50 [tex]\times[/tex] [tex]x[/tex] = $25 + $1.00 [tex]\times[/tex] [tex]x[/tex]
[tex]\Rightarrow 1.50x -1.00x = 25 -15\\\Rightarrow 0.50x = 10\\\Rightarrow x = 20[/tex]
Therefore, 20 tickets each will have to bought with fast pass so that the total cost is equal to that of each other.
Water makes up about 71% of Earth's surface, while the other 29% consists of continents
and islands. 96% of all Earth's water is contained within the oceans as salt water, while the
remaining 4% is fresh water located in lakes, rivers, glaciers, and the polar ice caps.
If the total volume of water on Earth is 1,386 million cubic kilometers, what is the volume
of salt water? What is the volume of fresh water?
Answer:
1330.56
Step-by-step explanation:
96 percent of 1386 is 1330.56
Answer:
Step-by-step explanation:
The question gives you numbers that you don't need to answer the question.
Salt water = 96/100 * 1,386 * 10^6 million km = 0.96 * 1386 * 10^6 = 1330560000 = 1.33056 * 10^9
You can find the fresh water amount by subtracting from 1385 * 10^6 which gives 1386 * 10^6 - 1.33056 * 10^9 = 55 440 000 cubic km
List the transformations of the function.
f(x)= 2(-2x+1)2 + 4
Answer:
Transformations of f(x) = ⅙(-2x + 1)² + 4:
vertical compressionreflects across y axishorizontal compressiontranslates lefttranslates upplisss helppppppppppñp
Answer:
The value of x is 37.36
Step-by-step explanation:
The given triangle is a right-angled triangle where
Base = 25
Angle = 48°
Hypotenuse = x
As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.
[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]
Hence ,
The value of x is 37.36
Please help fast please
Answer:
A not similar
Step-by-step explanation:
72 × 2 = 144
78 × 2 = 156
Show Your Work!
Will Mark Brainliest!
Answer:
The Graph Shifts 4 units up
Step-by-step explanation:
Okay so, when you add four to a graph in this manner we have to look at the equation as a whole. f(x)=mx+b + 4. By adding four we are changing the y-intercept and shifting it up four. This will cause the entire graph to shift upwards four spaces.
What is the distance between the points: (-1,3) and (7,-5) ?
Round your answer to the nearest tenth.
Algebra 2 Checkpoint (A2.F.IF.A2) 20-21
Willard, Gavin
The table represents the height of a baseball, in feet, over time, where t represents the number of seconds.
t (in seconds)
h (in feet)
0
3.5
0.5
18.5
1
25.5
1.5
24.5
2
15.5
What is the average rate of change in height of the baseball over the interval from c = 0.5 to 2 = 2?
-3 feet per second
-2 feet per second
2 feet per second
3 feet per second
Calculator
Answer:
0
Step-by-step explanation:
Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each boz had 10 crayons. How many crayons were left over?
If ABC=DEC b=48degree and E=x+4
X=
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]x + 4 = 48[/tex]
Subtract sides 4
[tex]x +4 - 4 = 48 - 4[/tex]
[tex]x = 44°[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
(1 Point) : Solve the following inequality
for y.
10d – 2y <-6g
Answer:
[tex]y>3g+5d[/tex]
Step-by-step explanation:
Simplify the expression