By taking the quotients between the cost and the volume of each refrigerator, we will see that the best buy is the second option.
How to get the cost per cubic foot?
To get this, we just need to take the quotient between the cost of the refrigerators and their volume.
Remember that the volume of a cube of side length S is V = S^3
For the first one, the cost is $98 and the side length is 1.5ft, so the volume is:
V = (1.5ft)^3 = 3.375 ft^3
The cubic per square foot is:
C = ($98/3.375 ft^3) = $29.04 per cubic foot.
For the second refrigerator, the side length is 2.1 ft and the cost is $142. Then the volume is:
V = (2.1 ft)^3 = 9.261 ft^3
The cost per cubic foot is:
C = ($142/9.261 ft^3) = $15.33 per cubic foot.
For the third refrigerator, the side length is 1.75 ft and the cost is $124.
So the volume will be:
V = (1.75 ft)^3 = 5.3594 ft^3
Then the cost per cubic foot is:
C = ($124/5.3594 ft^3) = $23.14 per cubic foot.
So, as we saw, the best buy will be the second option, because it has the lowest price per cubic foot.
If you want to learn more about volumes, you can read:
https://brainly.com/question/1972490
It takes 8 seconds to fully inflate a mini basketball and 27 seconds to fully inflate a full size basketball. The mini basketball is 6 inches in diameter. 1) If the full size ball is a dilation of the mini ball, what scale factor was used to create the full size ball? Response area
2) What is the diameter of the full size ball? Response area inches
Answer:
28.5 inches
Step-by-step explanation:
PLS GIVE ME BRAINILIEST IF IT'S CORRECT!
A fast food restaurant offers delivery service anywhere within 6mile radius. What area does the restaurant delivery service cover? Round to the nearest square mile.
Answer:
113 miles
Step-by-step explanation:
To find the area from the radius, you can do
6^2=36
36*3.14=113.04
How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many
Answer:
Zero
Step-by-step explanation:
Simplifying
12x + 1 = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(4x + 1) + -2
Reorder the terms:
1 + 12x = 3(1 + 4x) + -2
1 + 12x = (1 * 3 + 4x * 3) + -2
1 + 12x = (3 + 12x) + -2
Reorder the terms:
1 + 12x = 3 + -2 + 12x
Combine like terms: 3 + -2 = 1
1 + 12x = 1 + 12x
Add '-1' to each side of the equation.
1 + -1 + 12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
0 + 12x = 1 + -1 + 12x
12x = 1 + -1 + 12x
Combine like terms: 1 + -1 = 0
12x = 0 + 12x
12x = 12x
Add '-12x' to each side of the equation.
12x + -12x = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 12x + -12x
Combine like terms: 12x + -12x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Answer:
A.
Step-by-step explanation:
A can contains 24 fluid ounces of fruit juice. How many pints of fruit juice does the can
pls help me asap TYY
even just one of them :))
Find length FD
FD is Opposite
BD adjacent
O + A is Toa
Tan20 = o/9
x9
9 x Tan20 = o
O = 3.2757.... (ans)
Opposite/ FD is 3.28cm to 2.p.d
Draw diagonal line from A to D & find its length - that's the hypotenuse of a right-angle created
Use Pythagoras Theorem
a^2 + b^2 = c^2
25^2 + 9^2 = c^2
Square root both sides to get c
C = root 25^2 + 9^2
= root 706
= 26.57066...(ans)
AD is 26.57cm
Now create another right-angle triangle A to F to D back to A.
Label dimensions found such as the Length of AD to be 26.57.. Plus, FD to be 3.28.
Use trig for angel FAD:
Opposite of triangle is 3.28
Adjacent is 26.57
So, OA means Toa, but we're after an angle & have to use tan inverse instead.
Tan-1 (3.28/26.57) = 7.0374..
So, the angle is 7.04 degrees.
(ans) - ignore, I did use rounded figures in my ans, I was originally not going to, but I did.
Hope this helps!
The length of the diagonal of a square is 14. What is the length of each side?
Answer:
x=[tex]\sqrt{7}[/tex]
Step-by-step explanation:
use the pythagorean theorem
since the two sides are the same you
[tex]2x^{2} =14\\x^{2} =7\\x=\sqrt{7}[/tex]
A cone with heighth and radius r has volume V = n²h. If the cone has a height of 6 in. and volume V = 8rzx² + 24rx + 187, what is its radius r in
terms of x?
O A. r= 3x + 2
OB. r= 4x2 + 12x +9
C. r= 2x + 3
OD. r= (2x + 3)(2x - 3)
Answer:
C
Step-by-step explanation:
trust me bbg I know what I'm talking about
60 quarts equals how many gallons
Answer:
15 gallons
Step-by-step explanation:
Four quarts equals one gallon.
So 60 quarts divided by 4 quarts a gallon = 15 gallons.
The figure shows two triangles with two pairs of congruent angles. If AC = 10 units, what is AD?
A.
4 units
B.
6.5 units
C.
10 units
D.
12 units
Answer:
the Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles.The four triangles are congruent with each other regardless whether they are rotated or flipped.The congruence of two objects is often represented using the symbol. △ABC △DEF.the lengths of the corresponding sides and measures of the corresponding angles do not have to be explicitly shown to indicate congruence.
Step-by-step explanation:
hope this helps if not please let me now
Answer: the is c
Step-by-step explanation: good luck !
What is the greatest common factor of 48, 24, and 45?
Answer:
GCF=3Step-by-step explanation:
2|48,24,45 2|24,12,45 2|12,6,45 2|6,3,45 3|3,3,45 3|1,1,15 5|1,1,5 |1,1,1GCF=3 is my answerWhich expression is equivalent to (x superscript one-half baseline y superscript negative one-fourth baseline z) superscript negative 2?
Exponential equations are equation that contain powers or exponents in them. The simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]
Exponential functionsGiven the exponential function expressed as
[tex](x^{1/2}y^{-1/4}z})^{-2}[/tex]
According to the law of indices expressed as
[tex](a^m)^n= a^{mn}[/tex]
Applying this law to the given exponential equation, we will have:
[tex]=(x^{1/2}y^{-1/4}z})^{-2}\\=(x^{1/2})^{-2}(y^{-1/4})^{-2}(z})^{-2}\\=x^{-1}y^{1/2}z^{-2}[/tex]
Using the inverse law;
[tex](x^{1/2}y^{-1/4}z})^{-2}=\frac{1}{x}\sqrt{y}\frac{1}{z^2}\\ (x^{1/2}y^{-1/4}z})^{-2}=\frac{\sqrt{y}}{xz^2}[/tex]
Hence the simplified form of the given expression is [tex]\frac{\sqrt{y}}{xz^2}[/tex]
Learn more on exponential function here: https://brainly.com/question/14197900
what operation do you use to solve x/2=12
Answer:
x = 24
Step-by-step explanation:
[tex]\frac{x}{2}[/tex] = 12 ( multiply both sides by 2 to clear the fraction )
x = 2 × 12 = 24
multiplication .
Calculations ↓We need to use multiplication in order to get rid of the fraction and solve for x .
Remember that in mathematics we can't just get rid of fractions without altering the maths problem , so we multiply both sides by the denominator of the fraction , which is 2 .
x/2 = 12
[tex]\blue{\mathtt{x\:=\:24}}[/tex]
[tex]\small\text{hope\;helpful~}[/tex]
write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.
40 yd to 64 yd
Geometry homework. Please solve I dont understand it
Answer:
6.48m
Step-by-step explanation:
If you look at the values, you'll notice that the top 2 triangles have the same values and the bottom 2 triangles have the same values.
Area(Kite)=Area(Top Triangles)+Area(Bottom Triangles)
Area(Kite)=Area(15*18cm)+Area(21*18cm) (You can plug it in like a rectangle since their is 2 of each triangle)
Area(Kite)=270cm+378cm
Area(Kite)=678cm
Don't forget they asked it in Meters not Centimeters!
So...
The area of the kite is 6.48m
Answer:
6.48 sq. meters
Step-by-step explanation:
Let's split the kite into 2 parts. The bottom triangle and the top triangles.
Let's find the values of the bottom two triangles first. Both triangles have the same lengths and widths so their area will be the same too. The equation for the area of the triangle is (L*W)/2. The length is 21 and the width is 18. (21*18)/2=189. So since there are 2 triangles, you do 189*2= 378.
Let's find the values of the top two triangles. Since both of them have the same length and width, their areas will be the same too. Since we know the equation, let's use that to solve this problem. The length is 15 and the width is 18. (15*18)/2=135. So since there are 2 triangles, you do 135*2=270.
Now we have to add the areas of the 4 triangles together. 270+378=648 cm. But the answer has to be in meters so the answer is 6.48 since 1 cm = 0.01 m.
Sorry for the long explanation, I was trying to show my work so you would understand!
Achieve $5,000 in three years at 3.5% simple interest
Answer:
Step-by-step explanation:
3.5% to a decimal is 0.035 because its divided by 100.
Add 1 to 0.035 because its a positive interest.
Multiply 5000 times 1.035
You get $5175
Hope this helps.
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
7 A formula for the relationship between a
person’s maximum heart rate, H, and the
person’s age, a, is shown below.
H = 217 2 0.85a
According to the formula, which of the
following is closest to Jasmin’s maximum
heart rate if she is 14 years old?
a 203
b 205
c 229
d 239
Answer:
b 205
Step-by-step explanation:
would be the closest answer.
Hope this hlepsss!
Orhan studied the relationship between temperature and sales of refreshments at the concession stands inside the football stadium. He wrote an equation for the linear function that relates temperature (x) and refreshment sales. (Y). Which of the following could be Orhan’s equation ?
A. y=3x^2+25
B. y^2=15x+40
C.=y=11x-55
D.y=x^3-135
The equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55
What is linear equation?Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c
Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.
For this case, we see that the option C: y = 11x - 55 is such that each term is having at max one variable (therefore 1 degree) or no variable (therefore 0 degree).
Thus, option C represents a linear equation. Its graph is given below.
Option A has [tex]x^2[/tex] which is two degree, Option B has two degrees in y, and in Option D, there is x with three degrees.
Thus, the equation for the linear function that relates temperature (x) and refreshment sales (y) from the considered option can be given by: Option C: y = 11x- 55
Learn more about linear equations here:
https://brainly.com/question/498084
#SPJ1
Use formulas to find the lateral area and surface area of the prism.
the numbers are 15 in 17 in 20 in
round to the nearest whole number
Answer:
12 inches
Step-by-step explanation:
Find the lateral surface area of a triangular prism with bases edges 3 inches, 4 inches and 5 inches and altitude 8 inches.
The perimeter is the sum of the bases.
p=3+4+5=12 inches
Lateral Surface Area =12(8)=96 inches2
Question 16 of 21 Which graph shows the solution to this system of linear inequalities?
a.graph c
b.graph d
c.graph a
d.graph b
The answer is B as it is the only one that matches the 2 inequalities.
An aquarium is shown below. The directions state that the water should be exactly three inches below the top of the aquarium. What is the volume of the water in the tank?
Answer:
2496 is the volume
Step-by-step explanation:
The height of the tank is 13, the water level is 3 inches below that so the height of the water would be 10 (13-3 = 10)
volume = length x width x height:
Volume = 24 x 8 x 10 = 1,920 cubic inches
1 gallon = 231 cubic in.
1920/231 = 8.31 gallons
Preston needs to write an equation in slope-
intercept form to represent the relationship between x
and y in the table below. What will be the value of the
y-intercept in his equation? Record your answer on
the grid.
HELPS A GIRL OUT PLS
The y-intercept of the equation that represent the relationship between x and y in the table is -6
How to determine the y-intercept?From the table, we have the following highlight:
As the x values increase by 2, The y values increase by 3This means that:
As the x values decrease by 2, The y values decrease by 3From the table, we have:
x = 2 when y = -9
Decrease the values of x and y
x = 0 when y = -6
Hence, the y-intercept is -6
Read more about y-intercept at:
https://brainly.com/question/1884491
Rice weighing 3 3/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
Answer:
Solution
To solve the problem first we have simplify the improper fraction.
⇒ 33/4 ÷ 4 pounds.
= (4 × 3 + 3) /4 ÷ 4 pounds.
= 15/4 ÷ 4 pounds.
= 15/4 × 1/4 pounds.
= 15/16 pounds.
Now we know that, 1 pound = 16 ounces.
Therefore, 15/16 pounds .
= 15/16 × 16 ounces.
= 15/1
= 15
= 15 ounces.
Answer: 15 ounces.
3 3/4 pounds of rice divided equally in 4 containers.
to find:the amount of ounces of rice each were in.
solution:33/4 ÷ 4 pounds
= (4 × 3 + 3)/4 ÷ 4 pounds
= 15/4 ÷ 4 pounds
= 15/4 × 1/4 pounds
= 15/16 pounds
so, now:
1 pound = 16 ounces
hence, 15/16 pounds = 15/16 × 16 ounces
= 15 ounces
Determine the MAD of the set of the data without the outlier. 88, 85, 90, 35, 75, 99, 100, 77, 76, 92, 82
Answer:
85
Step-by-step explanation:
Will Mark brainlyest, offering max points: Which of the following quadratic functions does this graph represent?
Answer:
The quadratic formuls that this graph represents is: f (x) = -x 2 -2x +3
Have a nice day!
How are special right triangles used in finding the area of a regular hexagon?
Answer:
To find the area of the hexagon,we will first find the area of each equilateral triangle then multiply it by 6.
• Aisha has an agreed overdraft on her account
of £500.
• Currently, Aisha is £57 overdrawn on her
account and she is expecting a Direct Debit of
£165 to come out on 27th June.
• Aisha's salary of £1,112.00 will be credited to
her account on 30th June What will the
balance of the account be if Aisha does not
make any other transactions before her salary
is deposited?
Answer:
the one symbols are not explanation
Answer:
£890
Step-by-step explanation:
Has an agreed overdraft of £500, meaning upto 500 pounds over what is in the account is allowedShe is currently £57 overdrawn from her account and another £165 will be withdrawn (Current balance → -57 - 165 = -£222)Salary of £1,112 will be creditedRemaining balance = 1,112 - 222 = £890literally help
The Arthur Ashe Tennis Stadium in New York has a seating capacity of 22,500 people. Of these seats, 1.11% are wheelchair-accessible seats. How many seats in the stadium are wheelchair accessible? Round
the nearest whole number.
Answer:
250
Step-by-step explanation:
1. convert from percentage to decimal
to do this, divide the percentage by 100
1.11 / 100 = 0.0111
2. multiply the decimal by the amount
decimal = 0.0111
amount = 22500
final answer = 0.0111 * 22500 = 249.75 ≈ 250
thus, 1.11 % of 22,500 = 0.0111 * 22500 ≈ 22500
The distance between City A and City B is 500 miles. A length of 1.8 feet represents this distance on a certain wall map. City C and City D are 2.16 feet apart on this map. What is the actual distance between City C and City D?
Answer:
600 miles
Step-by-step explanation:
The actual distances between the cities are expected to be proportional to those on the map.
__
AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant
CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)
CD = 600 mi
The actual distance between City C and City D is about 600 miles.
Reflect the triangle in the mirror line
( PROVIDE IMAGE FOR ANSWER )
Need help with this problem