A grocery store sells three different quantities of sugar. A 1-pound bag costs $1.05, a 2-pound bag costs
$1.90, and a 3-pound bag costs $2.82. Enter the unit cost in price per pound for each. Complete the
description about how the unit cost changes as the quantity of sugar increases.

Answer:

$61.29 per day.

Step-by-step explanation:

Checking account balance on February 1st: $443

Checking account balance on February 7th: $872

Difference in balances: $872 - $443 = $429

Number of days between February 1st and February 7th: 7 days

Rate of change = Difference in balances / Number of days

Rate of change = $429 / 7 days

To find the rate of change per day, divide the difference in balances by the number of days:

Rate of change = $429 / 7 days ≈ $61.29 per day

Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.

After all the conditions you applied from the statement given you will get the original number as 16.08.

An algebraic equation is when two expressions are set equal to each other, and at least one variable is included.

Given that, if you subtract 0.3 from a certain number, add 0.4 times the original number to the result and then add another 2.78, you'll get 25.

We need to find the original number.

Let us take the original number as x.

Now, subtract 0.3 from the original number.

That is x-0.3.

0.4 times the original number is 0.4x.

Add 0.4 times the original number to the result.

That is, x-0.3+0.4x=1.4x-0.3

Now, add 2.78 to the result. That is 1.4x-0.3+2.78=1.4x+2.48.

As a result, you'll get 25. That is 1.4x+2.48=25

⇒1.4x=22.52

⇒x=16.08

There, the original number is 16.08.

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The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.

The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.

The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.

The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).

Based on this information, we can draw the following conclusions:

The graph will be a U-shaped curve with the vertex at (1, -9).

The vertex represents the minimum point of the parabola since it opens upward.

The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.

The graph will extend indefinitely in both directions.

To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.

Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.

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The missing values in the quantitative reasoning given are : -2, 13 and 9

Given the rule :

We can deduce that :

For the left circle :

circle = -6 - (-4) = -6 + 4 = -2

For the right circle :

circle = 11 - (-2) = 11 + 2 = 13

For the left square :

square = 13 + (-4)

square = 13 -4 = 9

Therefore, the missing values are : -2, 13 and 9

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Answer:

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

We know that V = 5,890.625 cm^3, h = 14.5 cm, and l = 25 cm.

Substituting these values into the formula, we get:

5,890.625 = 25w(14.5)

5,890.625 = 362.5w

w = 16.25

Therefore, the width of the rectangular prism is 16.25 cm.

Answer:

It's A

Step-by-step explanation:
well all you have to do is divide like 5,890.625 dvided by 14.5 then divide again by 25 them bam you got 16.25

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

y = 11/20

Step-by-step explanation:

-4/5 + y = -1/4

Add 4/5 to each side

-4/5  +4/5 + y = -1/4+4/5

y = -1/4 + 4/5

Get a common denominator

y = -1/4 *5/5   + 4/5 *4/4

y = -5/20 + 16/20

y = 11/20

Check

-4/5 +11/20 = -1/4

Get a common denominator

-4/5*4/4 + 11/20 = -1/4*5/5

-16/20 +11/20 = -5/20

-5/20 = - 5/20

Check

Step-by-step explanation:

\( - \frac{4}{5} + y = - \frac{1}{4} \\ y = \frac{ - 1}{4} + \frac{4}{5} \\ y = \frac{ - 5 + 16}{20} \\ y = \frac{11}{20} \)

\(y = \frac{11}{20} \)

Answer:

5 is a constant

2 is a coefficient

7a + 5 + 2b is written as a sum of three terms

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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Answer:

\(C = 25.1 \text{ cm}\)

Step-by-step explanation:

We can find the circumference of the circle by plugging the given radius value 8 cm into the formula:

\(C = \pi d\)

Note: This formula can also be written as \(C = 2\pi r\) because \(2r = d\).

↓ plugging in the given radius

\(C = 8\pi \text{ cm}\)

↓ rounding to the nearest tenth

\(\boxed{C = 25.1 \text{ cm}}\)

The amount of time I spent tutoring from the tape diagram is 4 hours.

Let x represent one rectangle. Therefore from the tape diagram:

Amount of hours I spent tutoring = x + x = 2x

Amount of hours my friend spent tutoring = x + x + x + x = 4x

Since both me and my friend spent a total of 12 hours, hence:

2x + 4x = 12

6x = 12

Dividing through by 6:

x = 2 hours

Amount of hours I spent tutoring = 2x = 2(2) = 4 hours

The amount of time I tutor is 4 hours.

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Answer:

A. E bisects AB and CD

Step-by-step explanation:

If E is a bisector, it creates two pairs of congruent sides. The included angles are congruent because they are vertical angles. The triangles will be congruent by SAS.

Answer:

B,D,C,A,E

Step-by-step explanation:

-1, -4/3, 1/2, 2, 2 1/4

Answer:

BDCAE

Step-by-step explanation:

hope this help

Answer:

b. No, the probability of getting the broken tape measure changes as there is no replacement.

Step-by-step explanation:

For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.

However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer

Levy is painting a miniature model of a World War II tank. His figure uses a 1:72 scale and is 22.5 cm long. The actual tank is 1620 cm long.

To determine the length of the actual tank, we need to scale up the length of the miniature model using the given scale of 1:72.

Let's denote the length of the actual tank as "x".

According to the scale, 1 cm on the miniature model represents 72 cm on the actual tank.

So, we can set up the following proportion:

1 cm (miniature model) / 72 cm (actual tank) = 22.5 cm (miniature model) / x cm (actual tank)

Cross-multiplying and solving for x, we get:

x = (72 cm * 22.5 cm) / 1 cmx = 1620 cm

The actual tank is 1620 cm long.

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Answer:

the Swiss Chalet had higher occupancy than its competitive set in 2019

Step-by-step explanation:

\(\huge\text{Hey there!}\)

\(\large\textsf{Do PEMDAS}\)

\(\large\text{Parentheses}\)

\(\large\text{Exponents}\)

\(\large\text{Multiplication}\)

\(\large\text{Division}\)

\(\large\text{Addition}\)

\(\large\text{Subtraction}\)

\(\mathsf{15 - 80\div4^2\times2}\)

\(\mathsf{4^2}\)

\(\mathsf{= 4\times 4}\)

\(\mathsf{= \bf 16}\)

\(\mathsf{15 - 80\div16\times 2}\)

\(\mathsf{80\div16}\)

\(\mathsf{= \bf 5}\)

\(\mathsf{15 - 5\times2 }\)

5 × 2 = 10

\(\mathsf{15 - 10}\)

\(\mathsf{= \bf 5}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf 5}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

  745

Step-by-step explanation:

You want the original number of books in the library if adding 298 children's books increased the fraction of children's books from 2/5 to 4/7.

We often like to work problems like this in terms of "ratio units." Here, we'll let x represent the number of books in a ratio unit. This means the number of children's books is originally 2x, and the total number of books is originally 5x. Then we have ...

  (2x +298)/(5x +298) = 4//7

Cross multiplying gives ...

  7(2x +298) = 4(5x +298)

  3(298) = 6x . . . . . . . . . . . . . subtract (14x+4(298))

  149 = x

  745 = 5x . . . . . . the original number of books in the library

There were 745 books in the library at first.

__

Additional comment

If we let x represent the original number of library books, then the arithmetic involves more fractions. You would have an equation like ...

  2/5x +298 = 4/7(x +298)

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a) The formula relating y to t is: y = 45.1 * e^(-0.693/19 * t) b) there will be approximately 30.1 mg of the substance present after 9 minutes.

(a) The general formula for exponential decay is y = y0 * e^(-kt), where y is the amount at time t, y0 is the initial amount, k is the decay constant, and e is Euler's number.

To find the decay constant, we can use the fact that the half-life is 19 minutes. The formula for half-life is t1/2 = ln(2) / k, where ln(2) is the natural logarithm of 2.

Substituting t1/2 = 19 and ln(2) = 0.693 into the formula gives:

19 = 0.693 / k

k = 0.693 / 19

So the formula relating y to t is:

y = 45.1 * e^(-0.693/19 * t)

(b) To find how much will be present in 9 minutes, we can plug t = 9 into the formula we found in part (a):

y = 45.1 * e^(-0.693/19 * 9) ≈ 30.1 mg

So, there will be approximately 30.1 mg of the substance present after 9 minutes.

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Answer:

58) 12.65

59) 8.25

60) 17.89

61) 15.81

62) 4.27

63) 10.07

64) a=4, ST=48

65) x=11, ST=22

66) Yes because the feet are like points on a plane and the ground would be the coordinate plane

67) 4 1/2 feet

68) 0.275

69) 56

Step-by-step explanation:

I hope this helps!!

Answer:

225in

Step-by-step explanation:

From the mathematical problem, the tanker driver receives R749,25 per day during week days and the driver worked a total of 261 hours in March 2022.

2.1 To calculate the amount of money that the tanker driver receives per day during week days, we need to calculate the total number of hours worked during a weekday and multiply it by the hourly rate, which is R92,50.

On weekdays, the driver works for 9 hours per day for 5% days per week, except for Saturdays where they work for 4.5 hours. So the number of hours worked during a weekday is:

9 hours/day x 5 days/week = 45 hours/week

45 hours/week - 4.5 hours on Saturday = 40.5 hours/week

To calculate the amount of money earned per day, we divide the weekly pay by the number of weekdays in a week:

Pay per week = 40.5 hours/week x R92,50/hour = R3746,25/week

Pay per day = R3746,25/week ÷ 5 days/week = R749,25/day

Therefore, the tanker driver receives R749,25 per day during week days.

2.2 To determine the total number of hours that the driver has worked in March 2022, we need to know the number of weekdays in March 2022.

March 2022 has 31 days, so the number of weekdays in March 2022 is:

31 days in March 2022 - 4 Saturdays = 27 weekdays in March 2022

Now we can calculate the total number of hours worked in March 2022:

Total hours worked in March 2022 = 27 weekdays x 9 hours/weekday + 4.5 hours on each Saturday x 4 Saturdays

Total hours worked in March 2022 = 243 hours + 18 hours

Total hours worked in March 2022 = 261 hours

Therefore, the driver worked a total of 261 hours in March 2022.

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Answer:

cs sometimes we needa pass a test n dis is the only shi dat b righh fr

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

The amplitude is half the difference between the maximum and the minimum.

A = (7.7 − (-6.7)) / 2

A = 7.2

Answer:

50.75

Step-by-step explanation:

We have:

\(E[g(x)] = \int\limits^{\infty}_{-\infty} {g(x)f(x)} \, dx \\\\= \int\limits^{1}_{-\infty} {g(x)(0)} \, dx+\int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx+\int\limits^{\infty}_{6} {g(x)(0)} \, dx\\\\= \int\limits^{6}_{1} {g(x)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x+3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {(4x)\frac{2}{x} } \, dx + \int\limits^{6}_{1} {(3)\frac{2}{x} } \, dx\\\\=\int\limits^{6}_{1} {8} \, dx + \int\limits^{6}_{1} {\frac{6}{x} } \, dx\\\\\)

\(=8\int\limits^{6}_{1} \, dx + 6\int\limits^{6}_{1} {\frac{1}{x} } \, dx\\\\= 8[x]^{^6}_{_1} + 6 [ln(x)]^{^6}_{_1}\\\\= 8[6-1] + 6[ln(6) - ln(1)]\\\\= 8(5) + 6(ln(6))\\\\= 40 + 10.75\\\\= 50.74\)

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

Probability is a measure of the likelihood or chance that a particular event or outcome will occur. It is expressed as a value between 0 and 1, where 0 represents an event that is impossible to occur, and 1 represents an event that is certain to occur.

To solve this problem, we can use the formula for the standard deviation of the sample mean:

Standard deviation of sample mean = standard deviation / √(sample size)

Plugging in the given values:

Standard deviation of sample mean = 7 / √(31)

Next, we can calculate the z-score, which is the number of standard deviations the sample mean is below the population mean:

z-score = (sample mean - population mean) / standard deviation of sample mean

Plugging in the given values:

z-score = (141.5 - 145) / (7 / √(31))

Using a calculator, we find that the z-score is approximately -2.22.

Finally, we can use a standard normal distribution table or a calculator to find the probability that a z-score is less than -2.22.

Using a standard normal distribution table, we find that the probability is approximately 0.0134 (rounded to four decimal places).

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We have a rectangular prism and we are given the following information.

We are asked to find the height of the rectangular prism

The very first thing to notice is that the given area and the given length, width has different units.

It is very important to have the same unit throughout otherwise there is a chance of making a mistake!

So let us first convert the given area from m into cm.

We know that 1 meter is equal to 100 centimeters.

Now we can proceed to find the height of the prism.

Recall that the area of a rectangular prism is given by

Where W is the width, L is the length and H is the height of the rectangular prism.

Finally, just substitute the given values into the above equation and solve for H.

Therefore, the height of the rectangular prism is 0.25 cm.

The correct option is the last one 0.25 cm.

Answer:

the number itself, (units) are getting bigger

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think if its -10 degrees i think the fahrenheit would be 50 degrees