Which is more economical: purchasing the economy size of a detergent at 3 kilograms for $3.15 or purchasing the regular size at 720 grams for 60c?

Answers

Answer 1

Answer:

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.

Step-by-step explanation:

Which is more economical?

Whichever situation has the lowest price per kilogram.

3 kilograms for $3.15

3.15/3 = $1.05 per kilogram.

720 grams for 60c

0.6/0.72 = $0.83 per kilogram.

Due to the lower price per kilogram, purchasing the regular size at 720 grams for 60c is more economical.


Related Questions

express 0.484848..... in p/q form​

Answers

Answer:  16/33

It's in p/q form where p = 16 and q = 33.

=======================================================

Work Shown:

x = 0.484848.....

100x = 48.4848.....

I multiplied both sides by 100 to move the decimal over 2 spots. Both decimal values for x and 100x have an infinite string of "48"s repeated after the decimal point. When we subtract, those infinite strings will cancel out

100x - x = 99x

48.4848..... - 0.484848..... = 48

So after subtracting straight down, we have the new equation 99x = 48 which solves to x = 48/99

Divide both parts by the GCF 3 to fully reduce

48/3 = 16

99/3 = 33

Therefore, x = 48/99 = 16/33 = 0.484848...

I recommend using a calculator to confirm that 16/33 = 0.484848...

Side note: your calculator may round the last digit, but this is of course rounding error

(3^3 × 3^2 ÷ 3^6)^-4

Answers

[tex]{\huge{\boxed{\boxed{\red{\bm{\mathsf{Answer}}}}}}}[/tex]

[tex]{\huge{\frac{3^3×3^2}{3^6}^-4}}[/tex]

[tex]{\huge{\frac{3^5}{3^6}^-4}}[/tex]

[tex]{\huge{\frac{1}{3}^-4}}[/tex]

[tex]{\huge{=81}}[/tex]

[tex]{\large{\bm{\mathsf{Be\:Brainly}}}}[/tex]

Answer:

81

Step-by-step explanation:

(3^3 × 3^2 ÷ 3^6)^-4

(27 * 9/ 729)^-4

(243/729)^-4

(1/3)^-4

81

You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.​

Answers

Answer:

$3840.

Step-by-step explanation:

First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.

What is the answer for this one

Answers

Answer: 2617 centimeters cubed

Step-by-step explanation:

The formula for finding volume of a cylinder is [tex]V=\pi r^2h[/tex]

The radius is half of the diamerter which will be 7 for this figure.

The height is marked 17

[tex]\pi 7^2(17)\\\pi (49)(17)\\833\pi \\[/tex]

833π is about 2616.95

Rounded to the nearest whole number it is 2617

An expression is shown below.
3m + 9
Which expression is equivalent to the given expression?
A 12m
B 3(m + 3)
C 27m
D 3(m + 9)

Answers

Answer:

B 3(m + 3)

Step-by-step explanation:

A 12m  no constant

B 3(m + 3)  Distribute 3m +9  yes

C 27m  no constant

D 3(m + 9)  Distribute 3m +27  wrong constant

Jasmine bought a game system
that cost $299 before tax. The total
including sales tax was 1.07 times
the price. A discount was then
applied by multiplying the total price
by 0.90. What was the total cost of
the game system including the sales
tax and discount?

Answers

9514 1404 393

Answer:

  $287.94

Step-by-step explanation:

The final cost is found by multiplying the cost by the various factors:

  $299 × 1.07 × 0.90 ≈ $287.94

Find value of x of angles

Answers

Answer:

32

Step-by-step explanation:

52=x+20

52-20=x+20-20

32=x

which of the following exponential functions represents the graph below?

[tex] a.\: \: \: \: \: \: f(x) = 5 • ( \frac{1}{4}) {}^{x} [/tex]
[tex] b. \: \: \: \: \: \: \: \: \: \: \ f(x)5•4 {}^{x} [/tex]
[tex]c .\: \: \: \: \: \: f(x) = 4• ( \frac{1}{5}) {}^{x} [/tex]
[tex]d. \: \: \: \: f(x)=4•5 {}^{x} [/tex]


Answers

Step-by-step explanation:

the answer is not a and b because when we accept 0 from x and look at graphic you can see 4

Balance m - 16=35 image attached

Answers

Answer:

B

Step-by-step explanation:

You're trying to isolate the m so add 16 to both sides to cancel the -16

Avery's piggy bank has 300 nickels

Answers

Answer:

Step-by-step explanation:

?

The should be 15$ if that’s what you’re asking

What is the length of leg s of the triangle below?
459
872
90+
45
A. 8
B. v
C. 8-12
D. 4.2
E. 1
F. 2

Answers

Answer:

option A

Step-by-step explanation:

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex] = s/[tex]8\sqrt{2}[/tex]

[tex]\frac{1}{\sqrt{2} } *8\sqrt{2}[/tex] = s

root 2 and root 2 gets cancel

8 = s

There are 12 people in an office with 3 different phone lines. If all the lines begin to ring at once, how many groups of 3 people can answer these lines

Answers

Answer: the required answer is 1320

Step-by-step explanation:

Total people = 12

Different phone lines = 3

We will choose the person to answer the first phone in 12 ways.

Then choose the second person in 11 ways. (11 people left)

Then choose the third person in 10 ways.  ( 10 people left)

The number of groups of 3 people can answer these lines[tex]12 \times11\times10=1320[/tex]

Hence, the required answer is 1320

whenever a,x,y are positive integers, which of the following expressions is equivalent to x^ay^a

Answers

Answer:

[tex]{(xy)}^{a} [/tex]

Step-by-step explanation:

when the exponent is equal, we can put the x and y together in a bracket and a as the Exponent of xy.

Hope I get your question~

What is the unit rate for 297 miles on 11 gallons of gas?

Answers

Answer:

27 miles per gallons

Step-by-step explanation:

Take the number of miles and divide by the number of gallons

297 miles / 11 gallons

27 miles per gallons

Zagia is taking a bicycling trip across the United States. Her destination is 3, 150
miles away. If Zagia travels 90 miles per day, how far does she have left to travel
after 20 days of bicycling?
The distance left after 20 days is
miles.

Answers

Answer: The distance left after 20 days is 1350 miles

Step-by-step explanation:

To calculate the distance, we use the formula:

[tex]s=\frac{d}{t}[/tex]

where,

s = speed of the bicycle = 90 miles/day

t = time taken = 20 days

d = distance travelled = ? miles

Putting values in above equation, we get:

[tex]d=(90miles/day\times 20days)=1800 miles[/tex]

Total distance to the destination = 3150 miles

Distance travalled in 20 days = 1800 miles

Distance left after 20 days = [3150 - 1800] = 1350 miles

Hence, the distance left after 20 days is 1350 miles

HELP ME PLSSS!
The graph below have a same shape what is the equation of the red graph?

A) g(x)=(3-x)2
B) g(x)=3-x2
C) g(x)=2-x2
D) g(x)=(2-x)2

Answers

Answer:  choice C)  g(x) = 2-x^2

============================================================

Explanation:

The y intercept of the blue curve f(x) is (0,5)

The y intercept of the red curve g(x) is (0,2)

We see that the y intercept has been shifted down 3 units when going from f(x) to g(x). Overall, the entire f(x) curve has been shifted down 3 units to get the g(x) curve.

Based on that, we would say

g(x) = f(x) - 3

g(x) = (5-x^2) - 3

g(x) = -x^2 + (5 - 3)

g(x) = -x^2 + 2

g(x) = 2 - x^2 ..... answer is choice C

Answer:

2-x^2

Step-by-step explanation:

How many inches are in 1.8 yards?​​

Answers

Answer:

64.8 inches is the correct answer.

Step-by-step explanation:

64.8in

1.8 yards is 64.8 inches

b.) The number of boys and girls in a class are in the ratio 9:3. The number of boys is 16 more
than the numbers of girls. What is the total class strength​

Answers

Answer:

9/3::16x/X

Step-by-step explanation:

do in this way the answer will come

Answer:

32 students

Step-by-step explanation:

9 : 3

9 - 3 = 6

6 : 16

9 + 3 = 12

12 : y

[tex]\frac{6}{16} :\frac{12}{y}[/tex]

y · 6 = 12 · 16

6y = 192

6y ÷ 6 = 192 ÷ 6

y = 32

In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c. y = negative x squared + 5 x a. a = 0, b = 5, c = 0 b. a = negative 1, b = 5, c = 0 c. a = 1, b = 5, c = 0 d. a = 5, b = negative 1, c = 0

Answers

Answer:

b.     a = negative 1, b = 5, c = 0

Step-by-step explanation:

y = negative x squared + 5 x

y = -x² + 5x

a = -1

b = 5

c = 0

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.
a) How big of a loan can you afford? Round your answer to the nearest dollar.
S
b) How much total money will you pay the loan company? Round your answer to the
nearest dollar.
C) How much of that money is interest? Round your answer to the nearest dollar.
S
Question Help: D Postito forum
Submit Question

Answers

9514 1404 393

Answer:

loan: $157,823repaid: $378,000interest: $220,177

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

  A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

  360A = 2.39508898 . . . times the principal amount

__

a) For a monthly payment of $1050, the principal can be ...

  $1050/0.00665302495 ≈ $157,823

__

b) The amount repaid to the loan company is ...

  $157,823×2.39508898 ≈ $378,000

__

c) The amount that is interest is ...

  $378,000 -157,823 = $220,177

Find the measure of angle X. The horizontal lines are parallel. HINT: The sum
of all interior angles in a triangle is 180 degrees.

Answers

Answer:  x = 112 (choice D)

===========================================================

Explanation:

The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.

Or you could say 180 - 107 = 73.

The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is

73+73+y = 180

146+y = 180

y = 180-146

y = 34

Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each

We can now solve for x

y+y+x = 180

34+34+x = 180

68+x = 180

x = 180-68

x = 112, so the answer is choice D

Which expression is not equivalent to 8 + (n – 4)?
12+n
n+4

(8 + n) – 4
(8 – 4) +n

Answers

Answer: n+4

Step-by-step explanation:

Expand & simplify ( 3 x − 2 ) ( 3 x - 2 ) + ( x + 6 ) ( x − 8 )​

Answers

Answer:

x=2,92 or x=_1.51

Step-by-step explanation:

factories out all the brackets first

(3x_3)(3x_2)+(x+6)(x_8)

9x^2_6x_6x+4+x^2_8x+6x_48

add and sutract only like terms

10x^2_14x_44

solve the equation using the quadratic fomula

x =2.91 and x= _1.51

Calculate the number of vertices in a full 5-ary tree with 35 internal vertices.
Also, find out the number of leaves

Answers

Answer:

Step-by-step explanation:

With 35 internal nodes, there are 5*35=175 vertices out of which are 175-35=140 leaves.

The number of vertices in a full 5-ary tree is 175.

The number of leaves is 140.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of full trees = 5

Number of internal vertices = 35

Now,

The number of vertices.

= 5 x 35

= 175

Now,

The number of leaves.

= 175 - 35

= 140

Thus,

Number of vertices is 175.

Number of leaves is 140.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

24.
What is the value of x to the nearest tenth?
A. 4.8
B. 9.2
C. 7.2
D. 12.0

Answers

I'm not sure it its prob D

if 4lm+3=18 then m =​

Answers

Answer:

4(m+3)=18

m+3=18/4=9/2

m=9/2-3

m=9-6/3

m=3/3=1

so,

m=1

Step-by-step explanation:

Find the value of this expression if x = -2.
x^2 – 8/x + 6​

Answers

Answer:

-1

Step-by-step explanation:

x^2 – 8

-----------

x + 6​

Let x = -2

(-2)^2 – 8

-----------

-2 + 6​

Exponents first

4 – 8

-----------

-2 + 6​

Then complete the numerator and denominator

-4

-----

4

Then divide

-1

Answer:

-1

Step-by-step explanation:

((-2)^2 - 8)/ -2+6

=>(4-8)/4

=>-4/4

=>-1

HELP HELP HELP HELP solve this

Answers

Answer:

77

Step-by-step explanation:

In a class of 40 students, 2
5
of the total number of students like to study English and 3
5
of the

total students like to study Mathematics.
a) How many students like to study English?
b)How many students like to study Mathematics?

Answers

16 students like to study English and 24 students like to study mathematics.



I’m pretty sure this is right.
25 & 35 ?????????????????

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem?
x less-than negative 5
x greater-than negative 5
x greater-than negative 1
x less-than negative 1

Answers

Answer:

B

Step-by-step explanation:

Let the number = x

2/5 (x - 1)

<

3/5 (x + 1)

2/5 (x - 1 ) < 3/5(x+ 1)      Multiply both sides  by 5

2(x - 1) < 3 ( x + 1)            Remove the brackets.

2x - 2 < 3x + 3                Add 2 to both sides

2x < 3x + 5                     Subtract 3x from both sides

2x - 3x < 5              

- x < 5                            Here's the tricky part . Divide by - 1

x > -5                             Notice what happened. The < become > That happens because you have divided (or multiplied) by a negative number.

The original question 2/5 (x - 1 ) < 3/5(x+ 1)    was graphed. The red part is every value that satisfies the inequality. You should be using a y and x together to find a more suitable answer using this program. But if you just look along the x axis, you will see that the < has been turned around.

B The second one from the top.

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