A 3-quart carton costs $2.79, while a 4-quart carton costs $3.88. Which is the better buy and why?

Answer:

Step-by-step explanation:

The total amount Rita spent is ...

  (18.54x +23) +(25) = 18.54x +48 . . . total spent

__

When x=2, that is approximately ...

  (18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85

Rita spent about $85 if she bought 2 items.

_____

Additional comment

Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.

An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).

Using the normal distribution, it is found that the correct option is:

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{117 - 100}{17}[/tex]

[tex]Z = 1[/tex]

Hence, the option d is correct.

To learn more about the normal distribution, you can check https://brainly.com/question/24663213

Answer:

130=monthly charge

119=one time installation fee

Step-by-step explanation:

119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!

Answer:

It is approximately 0.13 grams.

Answer:

-9 +30x

Step-by-step explanation:

-3(3) = -9

-3(-10x) = 30x

-9 +30x

Hope that helps

Answer:

I think 5.45?  Sorry, not the best at math

Step-by-step explanation:

if you get a 55% discount off of 0.99 cents you pay 0.45 $

you're saving 0.54 $

Answer:

because AB//DE

so DÊC=BÂC ( 2 straight lines are parallel and have the same internal angle)

because ACD is the outer angle of the triangle ABC so ACD= ABC+BÂC

because DÊC=BÂC

so ACD= ABC+ DÊC

Answer: $53.50 ?

Step-by-step explanation:

888.125 is the answer just use your calculator

Answer:

Step-by-step explanation:

888.13

Answer:

5.8709 x 10 to the 4th power = 58,709

5.8709 x 10 to the 7th power = 58,709,000

5.8709 x 10 to the 6th power = 5,870,900

5.8709 x 10 to the 5th power = ​​​​587,090

Step-by-step explanation:

Hoped that helped:P

Answer:

y=2(x+5)^2-4.

Step-by-step explanation:

By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!

Answer:

B(if the option is 10^7 instead of  107

Step-by-step explanation:

no. of people in New York=19000000

no. of people in Vermont =626,000

difference in populations = 19000000-626,000 =18374000

therefore, the difference in populations is 18374000

(which can also be written as 1.8374x10^7)

Answer:

a₆₃ = 575

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 17 and d = a₂ - a₁ = 26 - 17 = 9 , then

a₆₃ = 17 + (62 × 9) = 17 + 558 = 575

Answer:

i think its b

Step-by-step explanation:

Answer:

If her garden is 70m long, and it's a square type, wouldn't that suggest that her garden is 280m long?(70m X 4) And if this is the case, her garden would be 280 X 3=840 since there are 3 rounds?

Step-by-step explanation:

Answer: 840m

Answer: I think it would be 80 feet I hole I’m correct.

Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)

The diameter of one circle is 28 units

Find the diagram shown below:

Considering the semi-circle at the centre.

To get the value of "x"

x + 16  = 22

x = 22 - 16

x = 6

To get the value of "x"

16 +y  = 22

y = 22 - 16

y = 6

Diameter of one of the circle = x + 16 + y

Diameter of one of the circle = 6 + 16 + 6

Diameter of one of the circle = 28

Hence the diameter of one circle is 28 units

Learn more on diameter of circle: https://brainly.com/question/23220731

The formula to find the volume of a cube is:

volume= a^3

OR

volume= a*a*a

(a stands for the side length)

The way you would write it is:

V=2.8^3

Then you solve.

You would get 21.952

But since you need to round to the tenth place it would be:

22

Hope this helps! :)

Answer: 1.50

Step-by-step explanation:

The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.

Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.  

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.  

John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent  this situation.

A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.  

Answer:

See below

Step-by-step explanation:

40% of 58 = 0.40(58) = 23.2

34% of 76 = 0.34(76) = 25.84

Answer:

23.2

25.84

Step-by-step explanation:

To calculate percentage, multiply the number by the percentage's decimal.

for example, 20% of 300

20%-->20/100---->0.20

300×0.20=60

40% of 58--->

40/100--->0.40

58×0.40=23.2

34%--->34/100--->0.34

0.34×76=25.84

Whole part = 2

Fractional part = 5/18

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

Explanation:

4/9 = 8/18 after multiplying top and bottom by 2

1/6 = 3/18 after multiplying top and bottom by 3

So the fractional parts subtract to:

4/9 - 1/6 = 8/18 - 3/18 = (8-3)/18 = 5/18

The whole parts subtract to

3-1 = 2

Overall, we end up with the mixed number of [tex]2 \frac{5}{18}[/tex]

We can write this as 2 & 5/18 or as 2 5/18

Side note: This mixed number converts to the improper fraction of 41/18.

Hi,

12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96

I hope it helped.✅

Answer:

[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]

Answer: 10 points

Step-by-step explanation:

She must get 10 answers right to get into the next round, if it need to be over 34

25+10=35

Can i have brainliest

Answer:

1x + 25 > 34

Step-by-step explanation:

test says its right

The quotient of the expression is [tex]\frac{1}{2y}[/tex]

The expression is given as:

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2}[/tex]

Divide 3y^2 by 3y

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \div \frac{6y^4}{3y^2}[/tex]

Rewrite the equation as a product

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{3y^2}{6y^4}[/tex]

Divide 6 by 3

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = y \times \frac{y^2}{2y^4}[/tex]

Multiply y and y^2

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{y^3}{2y^4}[/tex]

Divide y^3 by y^4

[tex]\frac{3y^2}{3y} \div \frac{6y^4}{3y^2} = \frac{1}{2y}[/tex]

Hence, the quotient of the expression is [tex]\frac{1}{2y}[/tex]

Read more about quotients at:

https://brainly.com/question/12217706

Answer:

its B

Step-by-step explanation:

Answer:

24 apples

Step-by-step explanation:

60 divided by 5 is 12 then you multiply 2 which is 24:)