a bread making machine pours out 50 kg of mixture in 8 minutes in 8 minutes.at what rate is the mixture being poured?

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The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Answer:

Line ZL and line LZ.

Step-by-step explanation:

Since it is a line (because a line needs to have two or more points to be able to graph), it can be represented in two ways. The first being ZL, and the second being LZ.

Brainliest please.

Answer:

Step-by-step explanation

Oh

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

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The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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To graph the function g(x) = 7x + 10, we shift the graph of f(x) = 7x vertically by adding a constant term of +10. This means every y-coordinate on the graph increases by 10 units. The slope of the line remains the same at 7. The resulting graph is a straight line passing through (0, 10) with a slope of 7.

To graph the function g(x) = 7x + 10, you need to make the following change to the graph of f(x) = 7x:
1. Translation: The graph of f(x) = 7x can be shifted vertically by adding a constant term to the equation. In this case, the constant term is +10.
Here's how you can do it step by step:
1. Start with the graph of f(x) = 7x, which is a straight line passing through the origin (0,0) with a slope of 7.
2. To shift the graph vertically, add the constant term +10 to the equation. Now, the equation becomes g(x) = 7x + 10.
3. The constant term of +10 means that every y-coordinate of the points on the graph will increase by 10 units. For example, the point (0,0) on the original graph will shift to (0,10) on the new graph.
4. Similarly, if you take any other point on the original graph, such as (1,7), the corresponding point on the new graph will be (1,17) since you add 10 to the y-coordinate.
5. Keep in mind that the slope of the line remains the same, as only the y-values are affected. So, the new graph will still have a slope of 7.
By making this change, you will have successfully graphed the function g(x) = 7x + 10.

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Answer:

He multiplied 28 by 7 instead of dividing it.

28 times 7 equals 196.

Step-by-step explanation:

I hope this helps! Have a lovely day!!! :)

Answer:

Step-by-step explanation:

Answer:

option 1 both statements are true

Step-by-step explanation:

Prove by PMI -- Principle of Mathematical  Induction

1) n³ + 2n

n= 1 , 1³ +2*1 = 1+2 = 3 = 3*1   ---->divisible by 3

n = 2 ; 2³ + 2*2 = 8+4 = 12  = 3*4  ----> is divisible by 3

Assume that It is valid for n = k ;  

\(k^{3}+2k\) = 3*m -----(I) , for all m ∈ N

We have to prove for n =k +1 , the statement is true.

n = k+1, \((k+1)^{3}+2(k +1) =k^{3}+3k^{2}+3k +1 +2k +2\)

                                           = k³ + 3k² + 3k + 3 + 2k

                                           =  k³ +  2k + 3k² + 3k + 3

                                           = 3m + 3 (k² + k + 1)

                                          = 3(3 + [k² + k + 1] ) is divisible by 3

Therefore, this statement is true

2) \(5^{2n}-1\\\)

\(n=1 ; 5^{2}-1 = 25 -1 = 24 divisible by 24\\\\n = 2 ; 5^{2*2}-1 = 5^{4}-1 = 625 - 1 = 624 divisible by 24\)

This statement is also true

Answer:

A.) 49.3

Step-by-step explanation:

To find the mean of a given set of data points, you need to add up all of the numbers given in the data set. So let's add these altogether:

43 + 55 + 51 + 62 + 64 + 38 + 35 + 45 + 51 = 444.

With that said, now we have to divide the number of how many numbers given into our so-far-answer of 444. There are 9 numbers in this data set, so we need to divide 9 into 444.

444 ÷ 9 = 49.33333...

The question asks us to round to the nearest tenth, which would be the first 3 in this situation. Normally, we would need a longer process for rounding, but since these are all 3's, we can do this faster. We can get rid of the other 3's and be left with the first letter of A.)'s answer.

I hope that this helps.

Answer:

Step-by-step explanation:

Let the larger integer = 2x + 1

Let the second integer = 2x - 1

1/2 (2x + 1 + 2x - 1) = - 12               Combine the left

1/2(4x) = - 12                                  Combine 1/2 (4x)

2x = - 12                                         Divide by 2

2x/2 = - 12/2

x = - 6

2x + 1 = 2*-6 + 1 = -11

2x - 1 = 2*-6 - 1  = - 13

Check

-11 + - 13  = - 24

1/2(-24) = -12                               which checks.

Answer:

Number of hours Sonja practiced- n + 3 =11

Number of hours Jasper practiced- n - 2 = 6

Number of hours Willow practiced- 2n = 16

Step-by-step explanation:

hope that helps

Step-by-step explanation:

\( \frac{7}{30} \)

\( \frac{5}{6} + ( - \frac{3}{5} ) \\ lcm = 30 \\ \frac{25 + ( - 18)}{30} = \frac{7}{30} \)

Answer:

It changed by 11%

An equation for the total cars and trucks for dealership A is: x + y = 164.

An equation for the total cars and trucks for dealership B is: 2x + 0.5y = 229.

The number of cars that dealership A sold is: 98 cars.

The number of trucks that dealership B sold is: 66 trucks.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of cars sold and number of trucks sold, and then translate the word problem into an algebraic equation as follows:

Since the first dealership sold a total of 164 cars and trucks, a linear equation to model this situation is given by;

x + y = 164.

Additionally, the second dealership sold twice as many cars and half as many trucks as the first dealership, with a total of 229 cars and trucks;

2x + 0.5y = 229.

By solving the systems of linear equations simultaneously, we have:

2x + 0.5(164 - x) = 229

1.5x + 82 = 229

x = 98 cars.

For the y-value, we have;

2(98) + 0.5y = 229

0.5y = 229 - 196

y = 33/0.5

y = 66 trucks.

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Answer:

Step-by-step explanation:

-4x-3=y

Answer:

Science Club- y=10x+20

Math Club- y=5x+50

They will be equal 6 weeks

Step-by-step explanation:

X equals the number of weeks that have passed. In example of the science club, they would gain $10 every week, making the equation y (total money) equal to 10 dollars a week (or 10x.)

Since we know they begin with 20 dollars, we'll simply add that to the 10 dollars a week.

To find the week when they will be equal, we have to put both equations equal to each other.

10x+20=5x+50

Now we solve for x, or the number of weeks when the equations (and values) will be equal.

10x+20=5x+50

5x+20=50

5x=30

x=6

So... 6 weeks :)

You can use desmos to graph if you need it.

Answer:

Answer:

5^8 .. you have to do it like this 5^(2×4)

Answer:

y + x > -2

Step-by-step explanation:

slope is negative and is -1

y-intercept is -2

equation of dashed line is y = -x - 2

shading is above the line, and line is dashed, so inequality is

y > -x - 2

Add x to both sides.

y + x > -2

Answer:

\(3x^{2} - 4xy + 2y { }^{2} - 1 \\ 3 \times ( - 3) { }^{2} - 4 \times ( - 3) \times 5 + 2 \times 5 {}^{2} - 1 \\ (3 \times 9) - ( - 60) + 50 - 1 \\ 27 + 60 + 50 - 1 \\ 165 \)

Answer: 136

Substitute -3 for x and 5 for y.

\(3x^2 - 4xy + 2y^2 - 1\)

\(3(-3)^2-4(-3)(5)+2(5)^2-1\)

\(3(9)-4(-15)+2(25)-1\)

\(27+60+50-1\)

\(87+50-1\)

\(137-1\)

\(136\)

hope this helped!

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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The difference between the areas is 12 square feet

From the question, we have the following parameters that can be used in our computation:

Square = 6 ft

Rectangle = 3 ft by 8 ft

The difference between the areas is represented as

Difference = Square - Rectangle

So, we have

Difference = 6 * 6 - 3 * 8

Evaluate

Difference = 12

Hence, the difference is 12 square ft

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Given:

I deposited 25 dollars into my bank account.

To find:

The integer for the given situation.

Solution:

If any amount deposited into a bank account, then the amount in the bank increased by that amount.

We know that, positive integers represent increase and negative integers represent decrease.

If I deposited 25 dollars into my bank account, then my account balance increased by $25. Here, this situation is represents by the integer positive 25.

Therefore, the required integer for this situation is 25.

Given:

Price of car = $32,000

Sales tax = 8%

To find:

The price of car including sales tax.

Solution:

We have,

Price of car = $32,000

Salas tax = 8%

Amount of sales tax = 8% of price of car

\(\text{ Sales Tax}=\dfrac{8}{100}\times 32000\)

\(\text{Sales Tax}=2560\)

Now,

Total price of car including tax = Price of car + Sales tax

\(\text{Total price of car including tax}=32000+2560\)

\(\text{Total price of car including tax}=34560\)

Therefore, the price of car including tax is $34560.

Step-by-step explanation: in the picture

please give me a brainliest answer

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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Answer:

5/8

Step-by-step explanation:

subtract 3/8 from 8/8 to get 5/8

Answer:

13

Step-by-step explanation:

AB = 20

DE =12

Since AB and DE bisect each other, therefore:

AC = CB = ½(AB)

AC = CB = ½(20)

AC = CB = 10

Also,

DC = CE = ½(DE)

DC = CE = ½(12)

DC = CE = 6

Since F is the midpoint of DC, therefore:

FC = ½(DC)

FC = ½(6)

FC = 3

Find the value of FC + CB. Plug in the values of FC and CB:

3 + 10 = 13