Tyrone is the supply manager of a bakery. He needs to make sure there is plenty of flour on hand for their recipes each month. The bakery begins the month with 215.4 pounds of flour. Tyrone tracks the weekly use, along with the supply delivery received in the middle of the month.



Week Weekly Flour Use (lb)
1 −5812
2 −70.6
3 75310
4 −6778


How much flour does the bakery have on hand at the end of the month? Explain how you found your answer.

Answer:

$30

Step-by-step explanation:

s = shorts

t = tshirts

s + 2t = 60

s + 3t = 75

s + 2t = 60

rewrite

   -2t     -2t

s = 60 - 2t

s + 3t = 75

plug in

(60 - 2t) + 3t = 75

solve

60 - 2t + 3t = 75

60 + t = 75

-60       -60

t = 15

s + 2t = 60

plug in

s + 2(15) = 60

s + 30 = 60

    -30    -30

s = 30

He'll spend 138.91 dollars.

First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.

10

The attached figure shows all the cases and counts for at least as many blue as green. The resulting ordered pairs are ...

 (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3)

For at least as many green as blue, the numbers are reversed. That means there are a total of 10 possible ordered pairs:

 (6, 0), (6, 2), (6, 4), (5, 3), (5, 5), (3, 3), (3, 5), (4, 6), (2, 6), (0, 6)

An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.

When both the corresponding first and second elements in two ordered pairs are equal, two ordered pairs are said to be equal. For instance: A and B are two ordered pairs, and (c, d). If (a, b) = c and (b, d), they are equivalent (c, d).

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A graph of the quadratic function y = (x + 4)² - 1 is shown below.

The vertex is (-4, -1) and another point for this function is (-5, 0).

In Mathematics, the vertex form of a quadratic function is represented by the following mathematical equation:

f(x) = a(x - h)² + k

Where:

Based on the information provided about this quadratic function, we can determine the value of "a," "h," and "k" by comparison as follows:

y = a(x - h)² + k

y = (x + 4)² - 1

Therefore, the values of "a," "h," and "k" are:

a = 1

h = -4

k = -1

Vertex, (h, k) = (-4, -1)

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It should be noted that Tyler writing the equation x = y/65 is correct and matches the information.

It should be noted that speed is calculated as:

= Distance / Time

In this case, the car is going 65 miles per hour down the highway

x = the time traveled, in hours

y = the distance traveled,

Therefore, time = Distance / Speed

Therefore, Tyler wrote the equation x = y/65, this is correct and matches the information.

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A car is going 65 miles per hour down the highway. Tyler wrote the equation x = y/65, with x representing the time traveled, in hours, and y representing the distance traveled, in miles. Explain why Tyler's equation matches the story.

Answer:

Each hamburger costs 3.49

Step-by-step explanation:

Take the total cost and divide by the number of hamburgers

20.94/6 =3.49

Each hamburger costs 3.49

The events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%

The probability of an event without replacement implies that once an item is drawn, then we do not replace it back to the sample space before drawing another item.

The events are dependent since the probability of selecting a number on the second draw will depend on what number was selected on the first draw.

Total possible outcome = 20

numbers less than 6 = 5

probability of both selected are less than 6 = 5/20 × 4/19

probability of both selected are less than 6 = 1/19

1/19 in percentage = 1/19 × 100 = 5.3%.

Therefore, the events are dependent "d". And the probability of selecting a number less than 6 both times is 5.3%.

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The paragraph above describes a randomized experiment.

In this study, a researcher wanted to examine the effect of drinking on the ability to play darts.

To test this, he conducts a randomized experiment.

A randomized experiment is a study where researchers randomly allocate participants to groups, to ensure that each person has an equal chance of being assigned to each group.

In the experiment, the researcher randomly assigned 20 dart players to groups by flipping a coin for each player.

Summary: The paragraph above describes a randomized experiment. The participants who drink beer are the experimental group, the participants who drink soda are the control group. Flipping a coin to decide which player gets which drink is an example of random assignment.

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Answer:

\(36700000\)

Step-by-step explanation:

Difference between tourists visiting France and Italy = \((7.94 - 4.27)\) ×\(10^{7}\)

\(= 3.67\) × \(10^{7}\)

\(= 36700000\)

\(\therefore\) Difference between population of tourists in France and Italy are \(36700000\) people.

answer: -1.3, 1.1, 2.1, 2.3

Step-by-step explanation:

When ordering these numbers from least to greatest it is important to start by looking for negatives first. As -1.3 has a negative sign it is the smallest number. Next we should look at the ones place. Since 2 is bigger than 1 the next number would be 1.1.

After we should look at the tenths place since 2.1 is smaller than 2.3 is would go

100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type. This can be obtained by finding LCM(Least Common Multiple) of 10 and 25 and identifying the multiple nearest to 100.

Here in the question it is given that,

We have to find the least number of sheets of each type he might buy.

First we have to find the LCM(Least Common Multiple) of 10 and 25

10 = 2 × 5

25 = 5 × 5    

LCM(10,25) = 2 × 5 = 50  

But  he buys at least 100 of each type, then we recall the multiples of 18 to find the least number which is nearest to 100.

Multiples of 50 = 50, 100, 150,...

The number nearest to 100 is 100 itself.

Hence 100 is the least number of sheets of each type he might buy given that reptile stickers come in sheets of 10 and fish stickers come in sheets of 25 and Antonio buys the same number of both types of stickers and he buys at least 100 of each type.

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According to the question at \(\( t = 2.5 \)\) hours with \(\( r = 5 \)\) feet, the rate at which the radius is changing is \(\(\frac{dr}{dt} = \frac{-3}{20 \pi}\)\) feet per hour.

To solve this problem, we can use the formulas for the volume and surface area of a sphere in terms of its radius.

The volume of a sphere is given by the formula: \(\[ V = \frac{4}{3} \pi r^3 \]\)

where \(\( V \)\) is the volume and \(\( r \)\) is the radius.

We are given that the snowball has a volume of 250 \(ft\(^3\)\), so we can set up the equation:

\(\[ 250 = \frac{4}{3} \pi r^3 \]\)

To find the rate at which the radius is changing, we need to differentiate both sides of the equation with respect to time.

\(\[ \frac{dV}{dt} = \frac{4}{3} \pi (3r^2) \frac{dr}{dt} \]\)

Here, \(\(\frac{dV}{dt}\)\) represents the rate of change of volume with respect to time, and \(\(\frac{dr}{dt}\)\) represents the rate of change of the radius with respect to time.

We are also given that the snowball is melting at a rate of 15 cubic feet per hour:

\(\[ \frac{dV}{dt} = -15 \]\)

Now we can substitute the given values into the equation:

\(\[ -15 = \frac{4}{3} \pi (3r^2) \frac{dr}{dt} \]\)

Simplifying the equation:

\(\[ -15 = 4 \pi r^2 \frac{dr}{dt} \]\)

To find the rate at which the radius is changing after 2.5 hours, we need to substitute the time value into the equation and solve for \(\(\frac{dr}{dt}\).\)

Let's continue solving the problem with an arbitrary value. Let's assume that at \(\( t = 2.5 \)\) hours, the radius \(\( r \)\) is 5 feet.

Substituting the values into the equation:

\(\[ -15 = 4 \pi (5^2) \frac{dr}{dt} \]\)

Simplifying further:

\(\[ -15 = 4 \pi (25) \frac{dr}{dt} \]\)

\(\[ -15 = 100 \pi \frac{dr}{dt} \]\)

To solve for \(\(\frac{dr}{dt}\)\), we can rearrange the equation:

\(\[ \frac{dr}{dt} = \frac{-15}{100 \pi} \]\)

\(\[ \frac{dr}{dt} = \frac{-3}{20 \pi} \]\)

Therefore, at \(\( t = 2.5 \)\) hours with \(\( r = 5 \)\) feet, the rate at which the radius is changing is \(\(\frac{dr}{dt} = \frac{-3}{20 \pi}\)\) feet per hour.

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The given inequality is expressed as

The first step is to collect like terms. Thus, we have

We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have

Answer:

Length=10 feet

Width=6 feet

Step-by-step explanation:

Let width (W) of the garden is x feet

Then Length=L=4+x feet

Perimeter=P=2(W + L)

P=2(x+x+4)

32=4x+8

4x=32-8

x=24/4=6 feet

W=6 feet

L=10 feet

Answer:

discrete

explanation:

Continuous keeps going but for blood pressure it has to stay in a certain zone.

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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The values in the missing observation are:

X1    X2

76 22  

82 25

91 32

101    41

88 28

An expression contains terms with addition, subtraction, multiplication, and division.

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

We have,

x1 x2

76 22  

82 __

91 32

__    41

88 28

The difference between each row are:

76 - 22 = 54

82 - 25 = 57

91 - 32 = 59

101 - 41 = 60

88 - 28 = 60

We see that,

57 - 54 = 3

59 - 57 = 2

60 - 59 = 1

60 - 60 = 0

So,

The difference between the numbers is consecutive as 3, 2, 1, 0.

Thus,

The missing values of X1 and X2 are 101 and 25.

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Answer:

7 with a remainder of 2

Step-by-step explanation:

i just did the math rn

Information architecture is defined as a set of tools and techniques used for describing, organizing, and interpreting information.

It involves the process of structuring and organizing information in a way that facilitates efficient navigation, retrieval, and understanding for users.

Information architecture is commonly applied in fields such as website design, content management systems, data organization, and user interface design to create intuitive and user-friendly systems.

Therefore, the term informative architecture is defined as a set of tools and techniques.

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Answer:

Step-by-step explanation:

The distributive property of multiplication over addition tells us that the product of a value and a sum will be the same as the sum of products of the value and the sum's addends. This property can be used to add or remove parentheses from an arithmetic expression.

  a(b +c) = ab +ac . . . . expression of the distributive property

__

When applying the distributive property to a sum, the first step is to look for a factor common to the terms of the sum. That factor need not be the greatest common factor, though it is often useful if it is.

Below, we have written each expression using two different common factors.

  27x +24x = x(27 +24) = 3x(9 +8)

__

  0.5n +2.5 = 0.5(n +5) = 2.5(n/5 +1)

_____

Additional comment

Finding a common factor can make use of knowledge of multiplication tables, rules of exponents, and identities involving various functions used in algebraic expressions. It is sometimes useful to list the prime factors of each of the terms as an aid to finding a common one. Where fractions are involved, it is sometimes helpful to express them all using a common denominator.

The Euclidean Algorithm can also be useful for finding common factors.

The derivative of the following function. y=(cosx+5sinx) 6 qith respect to x is  dy/dx = 6(cos(x) + 5sin(x))⁵ * (-sin(x) + 5cos(x))

The derivative of the function y = (cos(x) + 5sin(x))⁶ with respect to x, we can use the chain rule. First, let's define u = cos(x) + 5sin(x), so we have y = u⁶.

Applying the chain rule, we differentiate y with respect to u and multiply it by the derivative of u with respect to x.

dy/du, we apply the power rule: d(uⁿ)/du = n*u^(n-1), where n = 6.

dy/du = 6u⁵

Next, we find du/dx by differentiating cos(x) and sin(x) separately:

du/dx = d(cos(x))/dx + 5 * d(sin(x))/dx

      = -sin(x) + 5cos(x)

Combining the results, we have:

dy/dx = (dy/du) * (du/dx)

       = 6(cos(x) + 5sin(x))⁵ * (-sin(x) + 5cos(x))

The derivative of y = (cos(x) + 5sin(x))⁶ with respect to x is 6(cos(x) + 5sin(x))⁵ * (-sin(x) + 5cos(x)).

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The complete question is :

Calculate the derivative of the following function. y = (cos(x) + 5sin(x)) / 6

with respect to x?

Answer:

y = 3/4x

Remember

Rise/Run

From one point, to another.

Answer:

y = 3/4 x

Step-by-step explanation:

The line does not go up 4/3 blocks every time it increases x by 1.

So it would be 3/4 x, as it is always less than on unit of x.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

25

Step-by-step explanation:

The chance or probability that he makes three shots in a row is: 0.314

An independent event is defined as an event whose occurrence does not depend on another event. For example, if you flip a coin and get heads, you flip the coin again, but this time you get tails. In both cases, the occurrence of both events are independent of each other.

Now, we are told that the probability that a basketball player makes a shot is 0.68.

Therefore using the concept of independent events we can say that:

P(makes three shots in a row) = 0.68 * 0.68 * 0.68 = 0.314

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Answer:Mia is closer because her distance to the chest is opposite the smaller angle. Nigel is closer because his distance from the chest is 100 meters

Step-by-step explanation:

Answer:

B. Mia is closer because her distance to the chest is opposite the smaller angle.

Step-by-step explanation:

The answer is

B. Mia is closer because her distance to the chest is opposite the smaller angle.

Your welcome <3

The red tractor is heavier.

To determine which tractor is heavier, Mr. Vega needs to compare the weights of the blue and red tractors. The blue tractor weighs \(\frac{3}{5}\) of a ton, and the red tractor weighs \(\frac{4}{6}\) of a ton.

First, we need to simplify the fractions if possible. In this case, we can simplify the red tractor's fraction by dividing both the numerator and denominator by 2:
\(\frac{4}{6} = \frac{\frac{4}{2} }{\frac{6}{2} } = \frac{2}{3}\)

Now we can compare the simplified fractions:
\(Blue tractor: \frac{3}{5}\)
\(Red tractor: \frac{2}{3}\)

To compare these fractions, we can find a common denominator. The least common multiple of 5 and 3 is 15. To convert the fractions to the same denominator, we multiply the numerators and denominators by the necessary factors:

\(Red tractor: (\frac{2}{3}) (\frac{5}{5}) = \frac{10}{15}\)

\(Blue tractor: (\frac{3}{5}) (\frac{3}{3}) = \frac{9}{15}\)

Now we can easily compare the weights:
\(Blue tractor: \frac{9}{15}\)

\(Red tractor: \frac{10}{15}\)


Since \(\frac{10}{15}\) is greater than \(\frac{9}{15}\) , the red tractor is heavier.

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Answer:

7ab

y³

e/f

Step-by-step explanation:

a*b*7= 7ab

y*y*y= y³

\(\frac{x^n}{x^y}=x^{n-y}\\\\\frac{e^3*f}{e^2*f^2}=\frac{e}{f}\\\)

Answer:

a) 7ab

b) y^3

c) e/f

Step-by-step explanation:

a) when multiplying two variables, u can just put them right next to each other, e.g. b x c = bc

when numbers are added, same goes, they just go before the variable, hence the 7ab. If u had something like 7ab x 8 then you'd just multiply the 8 with the 7 and get 56ab

b) imagine y= 2. if u had 2 x 2 x 2, that would be 8 which is also 2^3. When any number is multiplied by itself n times, it's raised to that power. which is why y x y x y = y^3. y is being multiplied by itself 3 times.

c) If u had \(\frac{4*2}{2}\), that would = 8/2 = 4 because it would simplify. in the fraction, you could also reduce the 2 since it appears in both the numerator and denominator.

same thing here: both the numerator and denominator have 2 e and 1 f so they get crossed out, leaving e/f

hope this helps!

Answer:

Unfortunately, i don't know the answer to this question however, i saw the other one and couldnt answer so i came to this one!!

I have been here before. You know what makes it easier? taking a second to cry. let yourself not be okay for a minute. But then go put some cold water on your face, and think about what your life would be like if you weren't depressed. then i want you to get some paper and write down what you think it would take for you to get to that place. now when you feel this way again use that paper as a reference. Instead of being in s much emotional pain, choose to work on one of those things. it will get better i promise. but don't hurt yourself. im so sorry:) you will get through it.

Step-by-step explanation: