Vanessa is a caterer. she made several batches of appetizers last weekend for an event. this weekend, vanessa made 4 times as many batches. she made a total of 25 batches of appetizers for the two weekends. determine the number of batches vanessa made last weekend and the number of batches she made this weekend. let b= the number of batches of appetizers vanessa made last weekend.

Answer:

IT WAS TO CUBED

Step-by-step explanation:

Final answer:

To find the equation of the line passing through two given points, we can use the slope-intercept form of a line. The equation of the line passing through (-5,2) and (9,0) is y = -1/7x + 9/7.

Explanation:

To find the equation of the line that passes through the points (-5,2) and (9,0), we can use the slope-intercept form of a line, y = mx + b. First, we need to find the slope (m) of the line. The slope is given by the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. Plugging in the values, m = (0 - 2)/(9 - (-5)) = -2/14 = -1/7.

Next, we can choose one of the points and plug in its coordinates along with the slope into the equation y = mx + b to solve for b. Let's choose the point (-5,2): 2 = (-1/7)(-5) + b. Simplifying the equation, 2 = 5/7 + b. Subtracting 5/7 from both sides, 2 - 5/7 = b. Getting a common denominator, 14/7 - 5/7 = b. So, b = 9/7.

Finally, we can substitute the values of m and b into the equation y = mx + b to get the equation of the line: y = -1/7x + 9/7.

Answer:

7.5 or 7 1/2

Step-by-step explanation:

Answer:

1.42π rad

Step-by-step explanation:

Principal value are known to be the largest value that can be equivalent to the trigonometry expression given.

Given

θ = arctan (3.7)

θ = 74.9°

The principal value of the angle can be found in the 3rd quadrant.

In the third quadrant, the angle gotten will become 180° + 74.9°

= 254.9°

Converting to radians

Since πrad = 180°

x = 254.9°

180x = 254.9π

x = 254.9π/180

x = 1.42π rad

The principal value of the angle is 1.42π rad.

Answer:

1.31

Step-by-step explanation:

so the answer is 161.85.Hope this will help u...:-D

Answer:

hope it helps uh........

Answer:

56,000.0

Step-by-step explanation:

The number 6 is in the nearest thousand. To round, you look at the number in front of the number you are trying to round and decide if that number is higher or lower than five. If the number is higher than 5, round up to the next highest number. If the number is lower than 5, the number stays the same.

Final answer:

To round 56,291.8 to the nearest thousand, observe the hundreds digit; it's 2, less than 5, so we keep 56,000 and replace subsequent digits with zeros, giving a rounded figure of 56,000.

Explanation:

To round 56,291.8 to the nearest thousand, we need to look at the hundreds place, which is 2 in this case. Since this is less than 5, we don't round up the thousands place. Therefore, we keep the number 56,000 as it is without increasing the thousand's value. However, since we are rounding to the nearest thousand, we replace the hundreds, tens, ones, and decimal places with zeros, resulting in the final rounded number being 56,000.

Answer:

62.8m

Step-by-step explanation:

Answer:

C = 20pi m  or approximately 62.8 m

Step-by-step explanation:

The circumference is given by

C = 2*pi*r

  = 2* pi *10

  = 20 pi

We can approximate pi by 3.14

  = 20*3.14

  62.8

Answer:

80%

Step-by-step explanation:

20% of 100 is 20, 100-20 = 80

Answer:

Inequalities are different from equations.  If you multiply or divide both sides of an equation by the same negative number, the equation remains the same, but If you multiply or divide both sides of an inequality by the same negative number, the inequality reverses.

Answer:

n ≥ 80/5

n ≥ 16

Step-by-step explanation:

please see the attached file for more explanation

Answer:

2^3 * 5^2

Step-by-step explanation:

We need to break 200 down into prime numbers

200 = 20*10  These are not prime

       = 4*5  * 2*5    The 4 is not prime

       = 2*2*5  * 2*5  This is prime

Rearranging

       = 2*2*2*5*5

       = 2^3 * 5^2

Answer:

2 3x5 2

Step-by-step explanation:

Answer

A only (2,3)

Step-by-step explanation:

If you graph it or plug it into Desmos that can also help

The ordered pair (2,3) is a solution to the equation y-3=5(x-2), but the ordered pair (3,2) is not. Therefore, the correct answer is option A: Only (2,3).

In this Mathematics problem, we are asked to find which ordered pair is a solution to the equation y-3=5(x-2). An ordered pair is written in the form (x, y), so we'll test each option to see which one, if any, is a solution to the equation.

Let's start with option A, (2,3). If we substitute x with 2 and y with 3, we will have 3-3 = 5(2-2), which simplifies to 0 = 0. This equation is true, so the ordered pair (2,3) is a solution.

Next, we'll look at option B, (3,2). If we substitute x with 3 and y with 2, we will have 2-3 = 5(3-2), which simplifies to -1 = 5. This equation is not true, so the ordered pair (3,2) is not a solution.

Option C suggests that both (2,3) and (3,2) are solutions, but we've already established that (3,2) is not a solution to the equation.

So, based on our calculations, the correct answer is option A: Only (2,3) is a solution.

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Answer:

Step-by-step explanation:

[tex](x^{-4})*(x^{10})=x^{p}\\\\x^{-4+10}=x^{p}\\\\x^{6}=x^{p}\\[/tex]

Compare the powers, p = 6

The steps to evaluate a logarithm.

- Identify the base of the logarithm.

- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.

- Simplify the exponential expression.

- If the result is a fraction, simplify it if possible.

- If the result is a decimal or irrational number, use a calculator to get an approximate value.

A logarithm is a mathematical function that measures the relationship between the relative sizes of two quantities.

It is defined as the inverse of exponentiation.

That is, if [tex]a^b[/tex] = c then [tex]log_ac[/tex] = b, where a is the base of the logarithm, b is the exponent, and c is the result of the exponentiation.

We have,

To evaluate a logarithm,

Follow these steps:

- Identify the base of the logarithm.

- Rewrite the logarithm in exponential form with the base as the base of the exponent and the argument as the result of the exponentiation.

- Simplify the exponential expression.

- If the result is a fraction, simplify it if possible.

- If the result is a decimal or irrational number, use a calculator to get an approximate value.

For example,

To evaluate [tex]log_28[/tex].

Follow these steps:

- The base of the logarithm is 2.

- Rewrite the logarithm in exponential form:

2³ = 8

- The exponential expression simplifies to 8.

- No further simplification is necessary.

The exact value is 2³= 8.

Thus,

To evaluate a logarithm follow the steps above.

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Final answer:

To evaluate a logarithm, use the calculator's log button for the common logarithm or calculate 10 raised to the power of the logarithmic value for the inverse log. Logarithmic properties simplify expressions by converting multiplication into addition and exponents into multiplication.

Explanation:

Understanding and Evaluating Logarithms

To evaluate a logarithm, one can use a calculator's log button to find the common logarithm, which is based on base 10. If you have a logarithm and wish to find the actual number it represents, you take the inverse log of the logarithm. This can also be expressed as 10 to the power of the logarithmic value.

For instance, to evaluate log(100), you would press the log button on your calculator and then enter 100. The result would be 2, since 10^2 = 100. If you have the logarithm value, say 3, and want to find the number it corresponds to, calculate 10^3, which equals 1000.

Furthermore, logarithmic properties can be used to simplify expressions and solve equations. If you take the log of two numbers being multiplied, you can add their individual logs. Additionally, taking the log of a number raised to an exponent allows you to move the exponent in front of the log, thus multiplying the exponent by the log of the number.

During the seventeenth century, the principle of the logarithm was developed by Napier. Logarithms transform multiplication into addition, which simplifies many computations, like using antilogarithms and slide rules for multiplication.

Answer:

$269.50 was Artie's gross pay

Step-by-step explanation:

12.25 (pay per hour) times 22 (hours worked that week) = $269.50 (gross pay)

Answer: The original price is $317.3885 or $317.38

Step-by-step explanation: Okay So first I went on google then I put

275.99 - 15% and got 234.5915                                                                                              So then I put 275.99-234.5915 and got 41.3985                                                                  Then I put 275.99+41.3985 and got 317.3885                                                                           So the original price is $317.3885 or $317.38

I Hoped This Helped

Bo teaches 16 classes per week and Erica teaches 20 classes per week.

To find out how many yoga classes Bo and Erica each teach per week, we can set up a system of equations based on the given information.

Let B represent the number of classes Bo teaches per week. Let E represent the number of classes Erica teaches per week.

According to the problem, the total number of classes taught by Bo and Erica is 36:

Equation 1: B + E = 36

Also, we know that Erica teaches 12 fewer than twice as many classes as Bo:

Equation 2: E = 2B - 12

We can substitute the expression for E from Equation 2 into Equation 1:

B + (2B - 12) = 36

Simplify and solve for B:

So, Bo teaches 16 classes per week. Now we can find out how many classes Erica teaches by substituting B back into Equation 2:

E = 2(16) - 12

E = 32 - 12

E = 20

Therefore, Erica teaches 20 classes per week.

Thus, Bo teaches 16 classes per week and Erica teaches 20 classes per week.

Answer:

Monomial

Step-by-step explanation:

A binomial has 2 terms(e.g. 2x + 3)

A trinomial has 3 terms(e.g. [tex]2x^{2} + 2x + 5x^{3}[/tex] )

Answer:

Ax7 is the answer

Step-by-step explanation:

yeah goodluck

Answer:

A*7

Step-by-step explanation:

There are seven shirts so the price is multiplied by 7.

could also be represented as A7

Answer:

[tex]f(-2) = -6[/tex]

Step-by-step explanation:

Step 1:  Set x to -2

[tex]f(-2) = -4(-2)^2 + 10[/tex]

[tex]f(-2) = -4(4) + 10[/tex]

[tex]f(-2) = -16 + 10[/tex]

[tex]f(-2) = -6[/tex]

Answer:  [tex]f(-2) = -6[/tex]

Answer:

y = -x + 5

y - 0 = - (x - 8)

y = -x + 8

Step-by-step explanation:

The required equation of the line is y = 8 - x.

Given that,
To determine an equation of the line that passes through the point (8,0) and is parallel to the line x+y=5

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Given equation,

x+y=5
y = -x + 5
m = -1
Since the slope of parallel lines are equals.
So the equation of the line is given as, which is passing by (8,0)
y - 0 = -1 (x - 8)
y = 8 - x

Thus, the required equation of the line is y = 8 - x.

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Answer:

114

Step-by-step explanation:

37+29&hshdhudjeuxjejjdhevhzyvebsuu ygrjuctrvejjcuuwvvxhij2b

Answer:

78

Step-by-step explanation:

Use law of sines, any you get:

sin(A)/(37) = sin(50)/29

You multiply both sides by 37:

sin(A) = 37sin(50)/29

You do arcsin, and get:

A = arcsin(37sin(50)/29)

Which simplifies to

77.7867635744, which is approx. 78

Answer:

Step-by-step explanation:

answer D would also be true

Answer:

Step-by-step explanation:

answer D would also be true

Answer:

[tex]21/ \frac {1}{8}[/tex]

Step-by-step explanation:

Since we're given that a batch requires 3 and one fourths cups of sugar, this is written as

[tex]3/ \frac {1}{4}[/tex]

If she wants 6.5 batches then we just cross multiply

1 batch=[tex]3/ \frac {1}{4}[/tex]

6.5 batches=x

X=[tex]6.5\times 3/ \frac {1}{4}[/tex]

X=[tex]6/ \frac {1}{2}\times 3/ \frac {1}{4}[/tex]

X=[tex]\frac {13}{2}\times \frac {13}{4}[/tex]

X=[tex]\frac {169}{8}[/tex]

X=[tex]21/ \frac {1}{8}[/tex]

Answer:

$8

Step-by-step explanation:

6×24=144

336-144=192

192÷24=8

the admission fee was $8 for one student.

Answer:

31 days?

Step-by-step explanation:

There are 31 days from Janurary 13 to Feburary 13.

There are total 31 days in a monthly billing of cycle.

What is mean by Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Some of the measure units are to measure them.

Given that;

Last date for a monthly billing cycle is Feb 13.

Now,

Find the days for monthly billing as;

Since, Last date for a monthly billing cycle is Feb 13.

So, Its start with 13 Jan for monthly billing.

Since, There are 30 or 31 days in every Month of a year.

So, From 13 Jan to 13 Feb, it take one month for monthly billing of cycle.

And, It is equal to 31 days.

That's mean; There are 31 days in between 13 Jan to 13 Feb.

Therefore, There are total 31 days in a monthly billing of cycle.

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Answer:

C

Step-by-step explanation:

find the area of the circles on the top and bottom with area of a circle being pie r squared

[tex]2(\pi 2^{2} )[/tex]=25.12

Find the area of the rectangle, with the height being one side and the circumference of the circle being the other

[tex](2\pi (2)) 10=125.6[/tex]

add the two together to get 150.72 and round

Answer: C

Step-by-step explanation: I did the math

The middle values are both 3, so the median is 3.

Option C is the correct answer.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

To find the median of the number of times a teenager is reminded to do chores a week, we need to arrange the responses in order from smallest to largest, and then find the middle value.

From the bar graph, we can see that the number of reminders ranges from 0 to 5, and the frequencies are not evenly distributed.

To determine the median, we need to count the total number of responses and find the middle value.

The total number of responses is:

2 + 5 + 8 + 14 + 7 + 4 = 40

Since there are an even number of responses, we need to find the average of the two middle values.

The two middle values are the 20th and 21st values when we arrange the responses in order:

0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5

Thus,

The middle values are both 3, so the median is 3.

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Step-by-step explanation:

-7+28m=26m-39

28m-26m=7-39

2m=-32

m=-16

Answer:

For the prime numbers it's 15/50 or 3/10. For it to be at least 20 it's 31/50. For both to happen at the same time it's 7/15.

Step-by-step explanation:

The prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

50-19=31 so 31/50

The probability of drawing a prime number that is at least 20 from a bucket of 50 numbers is 0.2, or 20%.

In this problem, you are being asked to find the probability that a number selected at random from a pool of 50, numbered 1 to 50, is both at least 20 and a prime number. In this case, let's first consider the prime numbers between 1 and 50, of which there are 15 (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47). However, we are looking for prime numbers that are also at least 20. This leaves us with 10 prime numbers (23, 29, 31, 37, 41, 43, 47).

With these 10 prime numbers, and 50 total numbers to choose from, the probability can thus be calculated by dividing the number of successful outcomes by the total number of outcomes. Therefore, the probability P(at least 20 | prime number) is 10/50 or 0.2. This means there is a 20% chance of randomly drawing a number from the bucket that is least 20 and also a prime number.

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