Someone please help!!! ​

you would multiply the first equation by 8 to eliminate the number of cakes and find that the bakery sold 15 pies on Friday.

To eliminate the number of cakes (c) and find the number of pies (p), you would need to multiply the first equation by a suitable number so that the coefficients of 'c' in both equations become equal.

The given system of equations is:

1) c - p = 9
2) 8c + 14p = 402

To eliminate 'c', you should multiply the first equation by 8:

8(c - p) = 8(9)
8c - 8p = 72

Now, the modified system of equations is:

1) 8c - 8p = 72
2) 8c + 14p = 402

Next, subtract the first equation from the second equation to eliminate 'c':

(8c + 14p) - (8c - 8p) = 402 - 72
8c + 14p - 8c + 8p = 330
22p = 330

Finally, divide both sides of the equation by 22 to find the number of pies (p):

22p / 22 = 330 / 22
p = 15

So, you would multiply the first equation by 8 to eliminate the number of cakes and find that the bakery sold 15 pies on Friday.

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The calculated area of the shape if it is a circle with a radius of 1 1/9 inches is 2200/567 square inches

The dimension given from the question is

Dimension = 1 1/9 inches

This is a single dimension, and as such the shape whose area is to be calculated is a circle

When the dimension is rewritten as radius, we have

Radius, r = 1 1/9 inches

Calculating the area, we make use of the following formula

Area = πr²

Substitute the known values in the above equation, so, we have the following representation

Area = π * (1 1/9)²

This gives

Area = 22/7 * (10/9)²

So, we have

Area = 22/7 * 100/81

Evaluate the product

Area = 2200/567

Hence,  the area is 2200/567 square inches

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Answer:

6(4c+6d+3)

Step-by-step explanation:

First, find the greatest common factor, which is 6, in this case.

24/6=4

36/6=6

18/6=3

6(4c+6d+3)

-hope it helps

Answer:

400

Step-by-step explanation:

480-80=400

Answer

x=6

Step-by-step explanation:

80*x=480

80*6=480

The distance between two lines measured along a perpendicular line to the line is always the same is called as equidistant .

Given :

The distance between two lines measured along a perpendicular line to the line is always the same.

What is Equidistant ?

Distances between two points from a common points are equal then it is called as equidistant .

Formulas :

Midpoint = ( x1 + x2 / 2 , y1 + y2 / 2 )

Distance = \(\sqrt{(x2 - x1 )^2 - (y2 - y1)^2 }\)

These are two main formulas are used to find whether equidistant or not.

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Answer:

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. Therefore,

2x + 3x + 22 = 180

Simplifying the equation,

5x = 158

Dividing by 5 on both sides,

x = 31.6

To find the actual measures of 2x and 3x, we substitute the value of x:

2x = 2(31.6) = 63.2 degrees

3x = 3(31.6) = 94.8 degrees

Therefore, the actual measures of 2x and 3x are 63.2 degrees and 94.8 degrees, respectively.

Answer: Choice B) between 6:48 AM and 5:12 PM

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

Explanation:

I've seen this problem before, and the first part states that if the temperature is above 25 degrees C, then the air conditioner turns on to start cooling the castle.

We want to find values of t that satisfy f(t) > 25

This is the same as trying to solve f(t) - 25 > 0

So we have,

\(f(t) = 24 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 = 24 - 5\cos\left(\frac{\pi}{12}t\right)-25\\\\ f(t)-25 = -1 - 5\cos\left(\frac{\pi}{12}t\right)\\\\ f(t)-25 > 0\\\\ -1 - 5\cos\left(\frac{\pi}{12}t\right) > 0\\\\\)

To solve this inequality, we can graph using Desmos as I've done so below. See the attached image.

Note how I used x in place of t. This is because the graphing calculator graphs (x,y) coordinates.

Furthermore, note how I marked the two points (6.769, 0) and (17.231, 0)

Between these two points is when the curve is above the x axis, when f(t) > 25 is true. This is when the temperature is above 25 degrees C, and when the air conditioner is working.

When t = 6.769, this means that roughly 6.769 hours have passed since midnight which means we're somewhere between 6 am and 7 am. The only value that works from the answer choices is 6:48 AM.

Note how 0.769*60 = 46.14 is fairly close to 48. This error is likely due to how things are rounded.

Then focusing on the point  (17.231, 0) means that t = 17.231. So 17.231 hours have elapsed since midnight and we're now at roughly 1700 hours

1700 hours in military time = 17-12 = 5 pm

The time value t = 17.231 is between 5 pm and 6 pm. The only thing that works is 5:12 pm.

We can then note how 0.231*60 = 13.86 which is also probably due to rounding error (it's fairly close to 12 though).

--------------------------

In short, we found the function for f(t)-25 and graphed it as shown below. The two points (6.769, 0) and (17.231, 0) help us see when the AC is turned on, which is roughly between 6:48 AM and 5:12 PM. This seems like a reasonable time for the AC to be operational. Something like between 5:12 PM and 6:48 AM seems like a bad idea because the AC would be working mostly at night, instead of during the day.

Anything beyond t = 24 represents the next day, which is when the cycle starts all over again. So we only need to focus on the window from t = 0 to t = 24. Specifically, the portion of the f(t)-25 curve that is above the x axis.

Given that X₁, X₂,..., X is a random sample from an exponential family with the following probability density function, f(x 0) = exp (0T(x) + d(0)+ S(x)).

To form the hypothesis for the exponential family, we need to consider the null and alternative hypothesis.

Null hypothesis: 0= 0

Alternative hypothesis: 0 ≠ 0

Explanation: The exponential family is a class of distribution families. The density of an exponential family is given by the following expression:

f(x|θ) = h(x) exp{θT(x) − A(θ)},

where h(x) is a nonnegative function of the data that does not depend on the parameter θ and A(θ) is a normalizing function.

The parameter θ is typically called the natural parameter, and T(x) is the vector of sufficient statistics. The exponential family of distributions includes the normal, exponential, chi-squared, gamma, and beta distributions, among others. In hypothesis testing for the exponential family, we typically specify a null hypothesis and an alternative hypothesis, just as in other types of hypothesis testing. The test statistic is usually a ratio of two likelihood ratios.

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H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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Answer:

10%=$25.20

25%=$21.00

35%=$18.20

Step-by-step explanation:

A mark-down in price of 10% is the same as 90% of the original price. 90% can be expressed as 0.9. $28.00(0.9)=$25.20. This same explanation holds true for the 25%/35% mark-down: $28.00(1-0.25)=$21.00; $28.00(1-0.35)=$18.20. Additionally, if you try this with the 40%/50% mark-downs it doesn‘t work.

The true three statements are,

10%=$25.20

25%=$21.00

35%=$18.20

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, given that,

A store sells flower arrangements at a cost of $28 each.

Now, we have,

A mark-down in price of 10% is the same as 90% of the original price. 90% can be expressed as 0.9. $28.00(0.9)=$25.20.

This same explanation holds true for the 25% mark-down: $28.00(1-0.25)=$21.00;

And, for 35% mark down: $28.00(1-0.35)=$18.20.

Additionally, if you try this with the 40%/50% mark-downs it doesn‘t work.

Hence, the three true statements are,

10%=$25.20

25%=$21.00

35%=$18.20

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Answer:

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Three containers have their volumes in the ratio 3:4:5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4:1),(3:1)and(5:2), respectively. The ratio of milk and water in the fourth container contains all the above three mixtures is

Hard

Solution

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Correct option is C)

Let the volumes be 3x,4x,5x respectively.

Container with volume 3x:

Milk =

4+1

4

×3x

Water =

4+1

1

×3x

Container with volume 4x:

Milk =

3+1

3

×4x

Water =

3+1

1

×4x

Container with volume 5x:

Milk =

5+2

5

×5x

Water =

5+2

2

×5x

Total milk =

5

12

x+

4

12

x+

7

25

x=

140

1256

x

Total water =

5

3

x+

4

4

x+

7

10

x=

140

424

x

Ratio of milk to water in 4th container =

424

1256

=157:53

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Answer:

x=12

Step-by-step explanation:

imma multiply the equation by 6 since i hate working with fractions but you could do this without doing that

3x+18=4x+6

subtract 3x from both sides

18=x+6

subtract 6 both sides

12=x

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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Answer:

-3 x 10

Step-by-step explanation:

the first one is 5

We can buy 39 crocus bulbs and 16 daffodil bulbs under the budget. We got this number by solving the question using the concept of equations.

Let the number of crocus bulbs be ‘x’

& the number of daffodil bulbs be ‘y’

According to the question, space for flowering bulbs in garden is 55. So this will be written as :

x + y = 55--------(1)

y = 55 -x

Cost of crocus bulbs is $0.35 each

& cost of Daffodil bulbs is $0.75

Budget to spend is $25.65

The equation formed is :

0.35x + 0.75y = 25.65 ------(2)

By substituting the value of y from equation (1) and put it to equation (2)

We get,

0.35x + 0.75(55-x) = 25.65

0.35x + 41.25 – 0.75x = 25.65

0.4x = 15.6

x = 39

Put the value of x in the equation (1) to get the value of y

y = 55-39

y = 16

Hence the number of crocus bulbs and number of daffodil bulbs that we can buy is 39 and 16 respectively.

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In other words, you'll type "sin" without quotes in the green box.

Also, you'll type "2" in the gray box, which also won't have quotes.

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

Explanation:

We'll use the first hint. Note the pattern of sin cos +-  cos sin which matches (somewhat) with the original expression.

Specifically, we'll use this identity

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

In this case, A = 3x and B = x

So,

sin(A - B) = sin(A)cos(B) - cos(A)sin(B)

sin(A)cos(B) - cos(A)sin(B) = sin(A - B)

sin(3x)cos(x) - cos(3x)sin(x) = sin(3x - x)

sin(3x)cos(x) - cos(3x)sin(x) = sin(2x)

As both equation are solved to y, we can equalize them, therefore we get that

and if x=-15 we get that y is

So the answer is (-15,-25)

Can you see my messages?

The solution set of this inequality is x = -8

What is inequality ?

inequality

   12 < -3(x+4)

  12 <  -3x - 12

  12 + 12 < - 3x

     24  <  -3x

     - 8 < x

The solution set of this inequality is x = -8

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Answer:

39.20

Step-by-step explanation:

20% of 49 = 9.80

49-9.80= 39.20

Answer:

A

Step-by-step explanation: Just did it

Answer:

49+0.89c

Step-by-step explanation:

This should be the answer good luck :)

The equation \(\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}\) is true

The equation is given as

\(\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}\)

Apply the law of indices

\(\sqrt[3]{-3 * -5} = \sqrt[3]{15}\)

Evaluate the product

\(\sqrt[3]{15} = \sqrt[3]{15}\)

Both sides of the equation are the same

Hence, the equation \(\sqrt[3]{-3} \cdot \sqrt[3]{-5} = \sqrt[3]{15}\) is true

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

Work Shown:

1 full rotation = 1 year

1 year = 365.25 days (approximate)

1 day = 24 hours

1 hour = 60 minutes

Converting from 1 year to minutes gives

\(1 \text{ year} = \left(1 \text{ year}\right)*\left(\frac{365.25 \text{ days}}{1 \text{ year}}\right)*\left(\frac{24 \text{ hrs}}{1 \text{ day}}\right)*\left(\frac{60 \text{ min}}{1 \text{ hr}}\right)\\\\1 \text{ year} = \left(1*365.25*24*60\right)\text{ min}\\\\1 \text{ year} = 525,960 \text{ min}\\\\\)

So basically we just multiply out 365.25, 24, and 60 to get the answer.

Answer:

Step-by-step explanation:

x1 y1  x2 y2

-4 3  3 1

ΔY -2    

ΔX 7    

slope= -  2/7    

Answer:

9-16y

Step-by-step explanation:

9-x^2y when x=4

plus in 4: 9- (4)^2y

=9-16y

Answer:

36

Step-by-step explanation:

Let the required number be x.

\( \frac{1}{3} \: of \: x = \frac{1}{3}x = \frac{x}{3} \\ \\ \frac{1}{4} \: of \: x = \frac{1}{4}x = \frac{x}{4} \\ \\ according \: to \: the \: given \: condition \\ \\ \frac{x}{3} - \frac{x}{4} = 3 \\ \\ \frac{4x - 3x}{3 \times 4} = 3 \\ \\ \frac{x}{12} = 3 \\ \\ x = 12 \times 3 \\ \\ \huge \red{ \boxed{ x = 36}}\)

The number is 36.

Given that,

Based on the above information, the calculation is as follows:

\(\frac{x}{3} - \frac{x}4} = 3 \\\\\frac{4x - 3x}{12} = 3\\\\x = 36\)

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They are used in navigation, astronomy, and surveying. Rays are also used in computer graphics, physics, and optics. In addition, rays are used in the study of optics to describe the behavior of light as it travels through different mediums.

According to the video above, the geometric object called a ray has the characteristics that it has one endpoint and extends in away from that endpoint without end.A ray is a line that starts at a single point and extends in one direction to infinity. Rays are commonly used in geometry to explain lines and line segments. A ray has one endpoint, called the endpoint of the ray, from which it starts. The other end of the ray continues in the direction in which it is pointed without any limit. A ray is named by using its endpoint and another point on the ray, with the endpoint first. For example, if ray A starts at point P and passes through point Q, we write the name of the ray as ray PAQ or ray QAP. Rays can be part of line segments and other geometric objects. They can also be used to explain angles and the direction of a light source. Rays are commonly used in mathematics, science, and engineering.

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After answering the given query, we can state that Therefore, the value equation of a₃ is 26.

The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.

Given: a₁ = 2 and an+1 = (an)² + 1

: the value of a₃

we can find the value of a₂ and a₃:

a₂ = a₁² + 1 = 2² + 1 = 5

a₃ = a₂² + 1 = 5² + 1 = 26

Therefore, the value of a₃ is 26.

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