Answer:
Step-by-step explanation:
Hello!
To compare different prices of several brands of a product the best is to express the price for the same quantities of product.
Since the three options are original in 300g, 450g and 600g, I'll express all prices on a base of 100g of product. You can use simple rule of three for this:
Option 1
300g cost $3.89
100g cost [tex]\frac{100*3.89}{300} = $1.296[/tex]
Option 2
450g cost $ 4.77
100g cost [tex]\frac{100*4.77}{450}= $1.06[/tex]
Option 3
600g cost $ 6.59
100g cost [tex]\frac{100*6.59}{600}= 1.098[/tex]
So:
Option 1: $1.296/ 100g
Option 2: $1.06/100g
Option 3: $1.098/100g
The cheapest option is number 2
I hope this helps!
can I help someone with math
Answer:
please mark my answer brainliest
Step-by-step explanation:
can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...
Combine like terms.
3p2q2-3p2q3+4p2q3-3p2q2+pq
Answer:
104
Step-by-step explanation:
:D
Find the value.
9x+6 when x=-2/3
Answer:
0Step-by-step explanation:
Given,
[tex] - \frac{2}{3} [/tex]
Now, let's find the value of 9x + 6
[tex]9x + 6[/tex]
plug the value of X
[tex] = 9 \times (- \frac{2}{3} ) + 6[/tex]
Multiplying a positive and negative equals a negative
[tex]( + ) \times ( - ) = ( - )[/tex]
[tex] = - 9 \times \frac{2}{3} + 6[/tex]
Reduce the number with Greatest Common Factor 3
[tex] = - 3 \times 2 + 6[/tex]
Multiply the numbers
[tex] = - 6 + 6[/tex]
The sum of two opposites equals 0
[tex] = 0[/tex]
Hope this helps..
best regards!!
A cylinder has a volume of 390 cm³. If a cone has the same dimensions as the cylinder then what is the volume of the cone.
Answer: The volume of the cone is 130 cubic centimeters.
Step-by-step explanation:
We know that to find the volume of a cylinder you will use the formula
V= [tex]\pi[/tex][tex]r^{2} *h[/tex] Where r is the radius and h is the height.
And to find the volume of a cone you will use the formula
V= [tex]\pi[/tex][tex]r^{2}[/tex]*h /3
So if they have the same dimensions which is the height and the radius then we will just divide the volume of the cylinder by 3 to find the volume of the cone.
V = 390/3
V = 130 cm^3
A(n)=-5+6(n-1).. what’s the 12th term?
Answer:
The answer is 61
Step-by-step explanation:
To find each n term replace the n with term u need to find .
A(12)= -5+6(12-1)
=-5+6(11)
=61
Answer:
61
Step-by-step explanation:
A(n)=-5+6(n-1)
Let n = 12
a(12) = -5 + 6(12-1)
-5+6(11)
-5+66
61
helpppppp plsssssss!!!!!!! in the picture below
Answer:
266.67 feet^2.
Step-by-step explanation:
The scale is 1:40.
That means that if the scale has a width of 4 inches, the room will have a width of 4 * 40 = 160 inches. 160 / 12 = 80 / 6 = 40 / 3 feet.
The length in the model is 6 inches, so the room has a length of 6 * 40 = 240 inches. 240 / 12 = 120 / 6 = 60 / 3 = 20 feet.
The area will then be (40 / 3) * 20 = 800 / 3 = 266.67 feet^2.
Hope this helps!
Help to answer the questions..
Answer:
See Below
Step-by-step explanation:
The relation is :
=> {(-5,0)(2,8)(2,15)(4,16)}
Domain => x inputs of the relation
Domain = { -5 , 2, 4}
Range => y inputs of the relation
Range = { 0 , 8 , 15 , 16}
Jeff's sister drives 14 miles to her collage his brother only drives 5/7/10 miles to his collage how much farther does Jeff's sister drive than his brother
Answer:
8.3miles
Step-by-step explanation:
Here Jeff's sister drives 14 miles
his brother only drives 57/10 miles then the question is only asking the difference between their distance of driving to school knowing fully well that Jeff's sister drive farther than his brother, then we find the difference between their drives which is done bow
14miles -57/10 miles
= 83/10
= 8.3miles
Therefore, Jeff's sister drive 8.3miles farther than his brother
What is the slope of the line through the points (4,2) and (-16,-6)
Answer:
2 / 5.
Step-by-step explanation:
The slope is the rise over the run.
In this case, the rise is 2 - (-6) = 2 + 6 = 8.
The run is 4 - (-16) = 4 + 16 = 20.
So, the slope is 8 / 20 = 4 / 10 = 2 / 5.
Hope this helps!
Answer:
the slope of the line that goes through (4,2) and (-16,-6) is 2/5
m= 2/5
Step-by-step explanation:
in order to find the slope we use the ∆y/∆x which is really the change in y over the change in x.
so all you have to do is find your y's and X's.
your y's are -6 and 2
your X's are -16 and 4
now in order to find the change in y and x you subtract your y's and x'x
the formula for this is:
∆y/∆x = y1-y2/x1-x2= (m aka the slope)
y1 is -6
and y2 is 2
-6 - 2 = -8
now do the X's
X1 is -16
and X2 is 4
-16 - 4 = -20
put that in fraction form and it's -8/-20
simplify that you get 2/5
A quarterback throws a football to a teammate. The football is 6.5ft above the ground when it leaves the quarterback's hand. His teammate catches it 3.5s later, at a height above the ground of 5 ft. Which quadratic model
Answer:
y = - 16t² + 55.6t + 6
Step-by-step explanation:
Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football
So y = y₀ + vt - 1/2 × (32 ft/s²)t²
y = y₀ + vt - 16t² where y₀ = 6.5 ft
y = 6 + vt - 16t²
Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have
5 = 6.5 + v(3.5 s) - 16(3.5 s)²
5 = 6.5 + 3.5v - 196
collecting like terms, we have
5 - 6.5 + 196 = 3.5v
194.5 = 3.5v
v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s
So, substituting v into y, our quadratic model is
y = 6 + 55.6t - 16t²
re-arranging, we have
y = - 16t² + 55.6t + 6
The surface area of a cube is 24 square inches What us the side length of the cube ?
A=24in² this th ans because the side of cube is 24 cm
please help me to understand how this problem was solved. if you aren't going to explain don't even bother. no trolling :0
Answer:
see below
Step-by-step explanation:
In the first step, they added 28 to both sides of the equation to get rid of the -28 on the left side. Next, they subtracted 4x from both sides to get rid of the 4x on the left side. They are doing this so that they can isolate y on one side. Isolating y basically means that you need to get all of the y terms on one side and all of the non-y terms on the other side. Next, they divided the entire equation by 8 to get rid of the 8 in 8y. Finally, since y and f(x) are the same thing, they simply substituted f(x) for y.
Find arc length. (NEED ASAP)
5.23 m
in cm 523 cm
nearest tenth 520cm
Step-by-step explanation:
60 / 360 × 2 ×22/7 × 5
110/ 21
5.23m
Answer:
5,2(3) meters
Step-by-step explanation:
Find arc lengthFormula
arc length = 2π·r (x°/360°)
= 2π·5m(60°/360°)
= 2·3,14·5m·1/6
= 31,4m/6
= 5,2(3) meters
Meryl needs to cut down 10.5 trees for every 5 cabins she builds. How many trees will she need to cut down if she builds 7 cabins?
Answer:
14.7 TreesStep-by-step explanation:
[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]
Find the coordinates of P so that P partitions the segment AB in the ratio 3:1 if A(0,7) and B(−4,2).
Answer:
(-3, 3.25)
Step-by-step explanation:
Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange. Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table: Color of Tile Number of times the tile is drawn
i
6 purple, 18 pink, 26 orange
i
What is the experimental probability that Jenny will pull out a purple tile?
Answer:
6/50
Step-by-step explanation:
Jenny pulled out 6 purple tiles out of the 50 trials
Answer: The experimental probability of Jenna pulling a purple tile is 6/50.
Step-by-step explanation:
In her experiment, Jenna pulled out 6 purple tiles out of the 50 total tiles she pulled. This would make the experimental probability of her pulling out a purple tiles 6/50.
3. The diagram shows a piece of rectangular tile
PQRS. A kite shape TUVW is inscribed in the
rectangle. Given that the perimeter of PQRS is
120 cm, find the area of TUVW.
Answer:
432cm²
Step-by-step explanation:
If the Perimeter is 120cm, PT=8 (120-28-12-12-28-12-12)/2
This means the rectangle is 24x36.
area of a kite is the diagonals divided by 2 (or half of the rectangle).
24x36=864
864/2=
432 cm²
Solve y^2-7=2xy ; 2x^2+3=xy
with explanation and proper steps!
Answer:
what does ; resemble
Step-by-step
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]y^2-7=2xy[/tex]
Step 1: Flip the equation.
[tex]2xy = y^2 - 7[/tex]
Step 2: Divide both sides by 2y.
[tex]\frac{2xy}{2y} = \frac{y^2- 7}{2y}[/tex]
[tex]x = \frac{y^2- 7}{2y}[/tex]
Answer : [tex]x = \frac{y^2- 7}{2y}[/tex]
~~~~~~~~~~~~~
B) Let's solve for y. [tex]2x^2+3=xy[/tex]
Step 1: Flip the equation.
[tex]xy = 2x^2 + 3[/tex]
Step 2: Divide both sides by x.
[tex]xy = \frac{2x^2 + 3}{x}[/tex]
[tex]y = \frac{2x^2 + 3}{x}[/tex]
Answer : [tex]y = \frac{2x^2 + 3}{x}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Can I get some help?? Ty
================================================
Explanation:
Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.
After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.
Use x = 2 to find the value of y
5x+3y = 31
5(2)+3y = 31
10+3y = 31
3y = 31-10
3y = 21
y = 21/3
y = 7
or
2x+3y = 25
2(2)+3y = 25
4+3y = 25
3y = 25-4
3y = 21
y = 21/3
y = 7
Using either equation has x = 2 lead to y = 7.
Therefore, the solution is (x,y) = (2,7)
If you were to graph the two original equations, then they would intersect at (2,7).
n the kite, AC = 10 and BD = 6. What is the area of kite ABCD? 15 square units 30 square units 45 square units 60 square units
Answer:45
Step-by-step explanation:
Answer:
B. 30 square units
Step-by-step explanation:
Edge 2021
Which of the following options have the same value as 40% of 84?
Choose 2 answers:
40•84
0.41/84
40
100 • 84
84/40
0.4 • 84
Answer:
0.4.84
Step-by-step explanation:
you divide the 40 by 100
Lea's car travels an average of 303030 miles per gallon of gas. If she spent \$20.70$20.70dollar sign, 20, point, 70 on gas for a 172.5172.5172, point, 5 mile trip, what was the approximate cost of gas in dollars per gallon? Choose 1 answer: \$1.45
The question was not written properly above.
Complete Question :
Lea's car travels an average of 30 miles per gallon of gas. If she spent $20.70 on gas for 172.5 mile trip, what was the approximate cost of gas in dollars per gallon?
Answer:
$3.6
Step-by-step explanation:
From the above question, we have the following information:
For
30 miles = 1 gallon of gas
We are also told she travelled,
$20.70 on gas for 172.5 miles
Step 1
Find how many gallons of gas was issued in the 172.5 miles
30 miles = 1 gallon of gas
172.5 miles = y
Cross multiply
30 × y = 172.5 miles × 1
y = 172.5 miles/30
y = 5.75 gallons
Therefore, for 172.5 miles she used 5.75 gallons of gas
Step 2
For step 2 we find the approximate cost of gas in dollars per gallon
$20.70 = 172.5 miles = 5.75 gallons of gas
Hence,
5.75 gallons of gas = $20.70
1 gallon of gas = $X
Cross Multiply
5.75 gallons × $X = $20.70 × 1 gallon
$X = $20.70 × 1 gallon/ 5.75 gallons
$X = $3.6
X = $3.6
Therefore, the approximate cost of gas in dollars per gallon = $3.6
I don't understand how to do this problem.
Answer:
First blank: 6a
Second blank: 2/3
Third blank: 21.6
Fourth blank: 3.9
Step-by-step explanation:
Basically, all you need to do is distribute the 2/3 to the stuff inside the parentheses. That means in the first blank, write 6a inside since you're multiplying 2/3 and 6a, and then in the second blank you write 2/3 since you're multiplying 2/3 and 9 together.
2/3*6a+2/3*9 = 21.6 is what you should have.
Now, just solve for a.
4a+6 = 21.6
4a=15.6
a=3.9
Answer:
2/3 * 6a+ 2/3 +9 = 21.6
a = 3.9
Step-by-step explanation:
2/3 ( 6a+9) = 21.6
Distribute
2/3 * 6a+ 2/3 +9 = 21.6
4a + 6 = 21.6
Subtract 6 from each side
4a = 15.6
Divide each side by 4
4a/4 = 15.6/4
a =3.9
Which of these functions could have the graph shown below?
y
80
70-
60
50+
40+
30+
20
10
-5
-4 -3
-2 -1 0
1
2
3
4
х
O A. f(x) = 20e
O B. f(x) = 2020
O C. f(x) = 20%
O D. f(x) = e20x
Answer:
A
Step-by-step explanation:
[tex]f(x) = 20 {e}^{x} [/tex]
The function that could have the graph shown is:
f(x) = 20[tex]e^x[/tex]
Option A is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function:
f(x) = 20[tex]e^x[/tex]
If we graph this function we get a similar graph that is shown.
The coordinates of f(x) = 20 [tex]e^x[/tex] are:
To find the coordinates, we need to plug in different values of x into the function and calculate the corresponding y-values.
For example, when x = 0, we have:
f(0) = 20e^0 = 20(1) = 20
So one coordinate on the graph is (0, 20).
Similarly, when x = 1, we have:
f(1) = 20e^1 = 20e = 20(2.71828) ≈ 54.6
So another coordinate on the graph is (1, 54.6).
We can find more coordinates by plugging in other values of x and calculating the corresponding y-values.
Now,
As x increases, the function f(x) grows exponentially, meaning the y-values will increase very rapidly.
Thus,
The function f(x) = 20[tex]e^x[/tex] could have the graph shown.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ7
Find the value of x if 12x=34^2 - 26^2
Answer:
40
Step-by-step explanation:
[tex] 12x = 34^2 - 26^2 \\
12x = (34+26)(34-26)\\
12x = 60\times 8\\\\
x = \frac{60\times 8}{12}\\\\
x = 5\times 8\\
x = 40[/tex]
Darnell is making improvements to his 3: 13 feet by 12 feet bedroom. Which deal would he best for him?
Paying $7.25 per sq feet
Paying $6.75 per sq feet plus a $100 installation fee
Answer:
paying $7.25 per sq feet
Step-by-step explanation:
So we can start off by solving the area:
12*13=156
so the total area is 156 feet sq
the first deal:
156/7.25= about $21.52
the second deal:
156/6.75= about $23.11, however with the installation fee, it will cost even more.
GIVING BRAINIEST (open attachment)
Answer:
1/19
Step-by-step explanation:
Let's say there are x yellow cubes.
That means there are 3x blue cubes.
Therefore, there must be 15x green cubes.
In total: we have 19x cubes.
Therefore the probability of a cube being yellow is x / 19x
which simplifies to 1/19
Answer:
1/19
Step-by-step explanation:
Solution:-
- First we will define the distribution of colors in the bag.
- We will use variable:
x: the number of yellow cubes in bag
- The following color distribution can be made by using the data given in the question:
Color Number of cubes
Yellow x
Blue 3*x = 3x
Green 3x*5 = 15x
======================================
Total 19x
======================================
- Sarah is to draw a cube from the bag. We are to determine the probability that the randomly picked cube would be yellow. We will denote our event as randomly picking a yellow cube from the bag with a defined finite distribution.
p ( Picks Yellow cube ) = [ Number of yellow cubes ] / [ Total cubes ]
p ( Picks Yellow cube ) = [ x ] / [ 19x ]
p ( Picks Yellow cube ) = 1 / 19 .... Answer
what is the value of X when f(x)=g(x) ?
Answer:
x=3
Step-by-step explanation:
We want to find the value of x where the two graphs intersect
The graphs intersect at ( 3,8)
The value of x is 3
PLEASE ANSWER ASPAA The x-intercept of the equation 2y – x = -6 is: 3. -3. 6. None of these choices are correct.
Answer:
x = 6
Step-by-step explanation:
The x-intercept of the equation is where the graph crosses the x-axis when y = 0. So, we simply plug in 0 for y:
2(0) - x = -6
0 - x = -6
-x = -6
x = 6
Alternatively, you can graph the equation into a graphing calc and analyze where the graph crosses the x-axis.
2.A 1998 Pontiac Grand-Am depreciates in value by 18% on average each year. If the car originally sold for $19995 in 1998, how much would the car be worth in 2012?
Answer:
Amount of car in 2012 = $1,242.55 (Approx)
Step-by-step explanation:
Given:
Rate of depreciation(d) = 18% = 0.18
Amount of car in 1998 = $19,995
Find:
Amount of car in 2012
Computation:
Number of year(n) = 14 year
[tex]Amount\ of\ car\ in\ 2012 = Amount\ of\ car\ in\ 2012 [1-d]^n[/tex]
Amount of car in 2012 = 19,995[1-0.18]¹⁴
Amount of car in 2012 = 19,995[0.82]¹⁴
Amount of car in 2012 = 19,995[0.0621432458]
Amount of car in 2012 = 1,242.5542
Amount of car in 2012 = $1,242.55 (Approx)