Target charges $4.40 for 8 sodas. Walmart charges $7.08 for 12 sodas. Which store has
the best unit price? How much cheaper is it?

Answer:

x > 125

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define inequality

x/25 > 5

Step 2: Solve for x

Here we see that any number x greater than 125 would work as a solution.

Answer:

9 1/2= 19/2 & 1 6/7= 13/7

Now equalising denominator we will get,

133/14 & 26/14

Now finding difference:

(133-26)/14

= 107/14 is the difference

Answer:

107/14

Step-by-step explanation:

Hope this helps

Kyle drove x hours

Sally drove x  + 7 hours

Added together they both drove 2x + 7 hours

2x +7 = 35 hours

Subtract 7 from both sides:

2x = 28

Divide both sides by 2:

x = 14

Kyle drove 14 hours

Sally drove 21 hours

Kyle drove for 14 hours and Sally drove for 21 hours

Let number of hours Kyle drove = x

Let number of hours Sally drove = x+7

Therefore,

x + (x + 7) = 35

2x + 7 = 35

Collect like terms

2x = 35 - 7

2x = 28

x = 28/2

x = 14

Also, x + 7 = 24 + 7 = 21

Therefore, Kyle drove for 14 hours and Sally drove for 21 hours.

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer:

(A)5.1 in.

Step-by-step explanation:

Surface Area of a Sphere \(=4\pi r^2\)

If the spherical globe has a surface area of 326.7 sq. in., then:

\(4\pi r^2=326.7, \pi=3.14\\4*3.14* r^2=326.7\\r^2=326.7 \div 12.56\\r=\sqrt{326.7 \div 12.56} \\r=5.1$ inch\)

The maximum radius of the globe that the cartographer is painting is 5.1 inches.

The correct option is A.

Answer:

its A

Step-by-step explanation:

ANSWER

Let x = liters of drink A

Let y = liters of drink B

System:

EXPLANATION

We know that of the liters of drink A, 20% is real juice: 0.2x

and that of the liters of drink B, 15% is real juice: 0.15y

The sum of the amounts of real juice in each drink is 100.5, because it is said that 100.5 liters of real juice are use to make both drinks.

Also it is said that they make 30 more liters of drink A than of drink B, so the liters of drink A are 30 more than drink B: x = y + 30

The system is:

Answer:

60°

Step-by-step explanation:

As we can see it is an equilateral triangle so all angles are equal so

x = 60°

Hope it will help :)

The distance between the two points is approximately 5.66 units

Using the formula for the distance between two points on a coordinate plane:

Distance = √[(y2 - y1)^2 + (x2 - x1)^2]

We can plug in the given values into the distance formula:

given that

y2 = 9, y1 = 13, x2 = 4, and x1 = 0

= √[(9 - 13)^2 + (4 - 0)^2]

= √[(-4)^2 + (4)^2]

= √(16 + 16)

= √32

= 4√2

= 5.6569

= 5.66

Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.

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Answer:

(a)$1500 per year.

Explanation:

(a)From the table:

3000-1500=$1500

4500-3000=$1500

This means that every year, Keith adds $1500 to his savings.

The unit rate is $1500 per year.

(b)

If x=number of years; and

y=Amount saved (in thousands of dollars.​)

When x=1, y=$1.5

When x=2, y=$3.0=2x1.5

When x=3, y=$4.5=3x1.5

The equation of proportion is therefore:

When x=0, y=0 (0,0)

When x=1, y=1.5 (1, 1.5)

We join the points (0,0) and (1,1.5)

The graph of the proportional relationship is attached below.

In order for Lashonda to achieve a final average of 80, she must receive a score of 86 on her last exam.

Score is a numerical value or result that is used to indicate the performance or achievement of an individual or team in a particular activity or game. A high score indicates excellence or success while a low score indicates the opposite. Score is often used to track progress and can be used to compare individuals or teams against each other. Score can also be used as a measure of progress or improvement.

To calculate her score, we add up all of her previous exam scores (95 + 82 + 89 + 70 + 76) and divide them by 6 (the number of exams taken). This gives an average of 81. We then subtract the current average (81) from her desired average (80) to arrive at the score she must receive on her last exam (86).

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Answer:

just 2 outcomes

Step-by-step explanation:

no matter how often you throw it, there are only two sides available

the left side of this equation equal the right side through the process of completing the square that establishes the equality between the left side and the right side of the Gaussian integral equation.

using  completing the square method:

Starting with the left side of the equation:

∫\(e^(^-^x^2)\) dx

\(e^(^-^x^2) = (e^(^-x^2/2))^2\)

∫\((e^(^-^x^2/2))^2 dx\)

let  u = √(x²/2) =  x = √(2u²).

dx = √2u du.

∫ \((e^(^x^2/2))^2 dx\)

= ∫ \((e^(^-2u^2)\)) (√2u du)

The integral of \(e^(-2u^2)\)= √(π/2).

∫ \((e^(-x^2/2))^2\) dx

= ∫  (√2u du) \((e^(-2u^2))\\\)

= √(π/2) ∫ (√2u du)

We substitute back  u = √(x²/2), we obtain:

∫ \((e^(-x^2/2))^2\)dx

= √(π/2) (√(x²/2))²

= √(π/2) (x²/2)

= (√π/2) x²

A comparison  with the right side of the equation  shows that they are are equal.

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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The change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

Given that a weather balloon is descending from the atmosphere, and its altitude changes by -6 meters every second, to determine what is the change in altitude after 135 seconds the following calculation must be performed:

Thus, the change in altitude after 135 seconds was a decrease of 810 meters, that is, -810 meters.

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Answer:

6 ft 1 inch

Step-by-step explanation:

We know that there are 12 inches in a foot. So we divide 73/12, which gives us  6 remainder 1. So there are 6 ft and 1 inch.

Answer:

6.08 feet

Step-by-step explanation:

converted it on a site and this was it

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

Answer:  y = 2x + 9

Step-by-step explanation

A slope-intercept formula is written as y = ax + b, where m is the slope and b is the y-intercept. As the question provides both m and b, we just plug it in:

y = mx + b

y = 2x + 9

Answer:

what is the expressio

Step-by-step explanation:

Answer:120

Step-by-step explanation:

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The rates aren't equivalent based on the information given regarding the games.

It should be noted that 16 points were scored in 4 games. Therefore, the points per game will be:

= 16 / 4

= 4 points.

Also, 48 points scored in 8 games. Therefore, the points per game will be:

= 48 / 8

= 6 points.

Therefore, the rates aren't equivalent.

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16 points scored in 4 games.

48 points scored in 8 games.

Are the rates equivalent?

Answer: 3

You are breaking up the 8 into 5 and another number. The other number plus 5 has to equal 8. Using 8-5, we know that that other number must be 3.

:)

the missing number Is 3

40=25+(_×5)

40-25=_×5

15=_×5

_=15/5

_=3

Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

a) The estimate of the proportion of defectives when the process is in control is 0.054

b) The standard error of the proportion if the sample size is 100 is 0.0226.

c) The upper control limit is 0.1218 and the lower control limit is 0 (since LCL < 0 and p > 0, we can write LCL = 0).

1) The estimate of the proportion of success is

p = (number of success)/(total number of samples)

I.e., p = x/N

2) The standard deviation of the proportion of success is

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

3) The upper and lower control limits for a control chart are:

L.C.L = p - 3\(\sigma_p\)

and U.C.L = p + 3\(\sigma_p\)

It is given that, there are 25 samples of 100 items each.

So, the total number of items i.e., the total sample size,

N = 25 × 100 = 2500

In 25 samples, a total of 135 items were found to be defective.

So, the number of defectives x = 135

a) The estimate of the proportion of defectives is p = x/N

On substituting, we get

p = 135/2500 = 0.054

b) The standard error of the proportion if the sample of size 100 is calculated by

\(\sigma_p = \sqrt{\frac{p(1-p)}{n} }\)

On substituting p = 0.054 and  n = 100, we get

\(\sigma_p = \sqrt{\frac{0.054(1-0.54)}{100} }\)

    = 0.0226

c) The control limits for the control chart are:

Upper control limit =  p + 3\(\sigma_p\)

⇒ U.C.L = 0.054 + 3(0.0226) = 0.054 + 0.0678 = 0.1218

Lower control limit = p - 3\(\sigma_p\)

⇒ L.C.L = 0.054 - 3(0.0226) = 0.054 - 0.0678 = - 0.0138 ≈ 0

(Since we know that the lower control limit should not be a negative value, it is made equal to 0).

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Answer:

$880

Step-by-step explanation:

Use the equation:

\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.

220=(1-0.75)x

simplify parenthesis terms

220=0.25x

divide both sides by 0.25

880=x

So, the original price was $880.

Hope this helps! :)

9514 1404 393

Answer:

  3125

Step-by-step explanation:

Your calculator can help with this.

  5⁵ = 5×5×5×5×5 = 3125

Hey there!

5^5

= 5 * 5 * 5 * 5 * 5

= 25 * 25 * 5

= 625 * 5

= 3,125

Therefore, your answer SHOULD be: 3,125

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)