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Answer:

Step-by-step explanation:

substitute the value for x and y

-6 + 6(-4)

= -6 -24

= -30

Answer:

-30

Step-by-step explanation:

plug in variables

-6 + 6(-4)

-6+ -24

= -30

Answer:

25000

Step-by-step explanation:

Answer:

0.125

Step-by-step explanation:

Answer:

96 more minutes are required to complete the same job with 5 such machines

Step-by-step explanation:

Proportions

We know 6 machines produce 100 boxes of chewing gum in 8 hours. For convenience, we'll work in minutes instead of hours.

The time needed for the 6 machines to complete the job is 8*60=480 minutes.

Considering proportions, if 6 machines complete the job in 480 minutes, then ONE machine would need 6*480 = 2880 minutes.

Now consider 5 such machines working. The time needed would reduce by a factor of 5: 2880/5=576 minutes

Now we know 5 machines would take 576 minutes. That is a difference of 576 - 480 = 96 minutes. Thus,

96 more minutes are required to complete the same job with 5 such machines

Answer:

E

Step-by-step explanation:

because if you have a square all 4 side have lines of symmetry

Answer:

E

Step-by-step explanation:

Answer:

Answer:

x =70° answer

Step-by-step explanation:

hope it is helpful to you

Answer:

What is the question?

Step-by-step explanation:

Plz mark brainliest!!!

2&3

Step-by-step explanation:

You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6

x(x-2)-3(x-2)

(x-2)(x-3)=0

Then you have to find x for each equation.

x-2=0

x=2

x-3=0

x=3

So the restricions are 2&3.

Answer:

190

Step-by-step explanation:

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

Work Shown:

1 gallon = 3.785 liters ..... given info

50*(1 gallon) = 50*(3.785 liters) .... multiply both sides by 50

50 gallons = 189.25 liters

50 gallons = 189 liters .... round to the nearest whole number

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

Addition, subtraction, multiplication, as well as division, are the four fundamental arithmetic operations. The division represents one of the most fundamental procedures in our daily work. A large group is divided into equal smaller groups. For instance, divide 25 by 5. The division fact, in this case, in this case, will be 25/5 = 5.

She hits the bullseye = 19 times.

she hits the 33 point circle 238 times.

Total number of points:

19 x 75 + 238 x 33 = 9279

19 x 75 = 1425

238 x 33 = 7854

So,

The value of the given equation is 19 x 75 + 238 x 33 = 9279.

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I understand that the question you are looking for is:

Cora hits the bullseye (the 75 point circle) 19 times during the archery season she hits the 33 point circle 238 times. What is the total number of points for those hits Complete the equation to model the situation_. Enter the correct numbers in the boxes. _ x 75 + _ x 33 =

Answer:

D. its a two dimensional object

Answer:

A. It is a polygon

C. It is a one-dimensional object

The shape is a polygon in two dimensions since a polygon must have at least three straight sides.

Answer:

5 1/3

Step-by-step explanation:

Apply +133.3% to the sides

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer:

10√2

Step-by-step explanation:

magnitude of vector v = √Δx² + Δy² = √(-3 - 7)² + (-5 - 5)² = √(-10)² + (-10)²

magnitude of vector v = √200 = 10√2

The relationship between the variables r and t is (b) the relationship between rand t doesn't matter

From the question, we understand that the formula is the formula of compound interest

The compound interest formula is represented as

A = P(1 + r/n)^nt

Where the rate is represented as r and the time is represented as t

In the above equation, we can see that the variables r and t are on the same side of the equation

This means that both variables can take any value within their respective domains

This implies that there is no relationship between r and t

Hence, the relationship between the variables r and t is (b) the relationship between rand t doesn't matter

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Answer:

10x+15

Step-by-step explanation:

area of the two rectangles combined is one big rectangle

area of rectange= base*height

base length: 2x+3

height: 5

(2x+3)*5

=(2x*5)+(3*5)

=10x+15

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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The number sets that each number belong too are given as follows:

1. Rational.

2. Irrational.

3. Rational.

4. Whole.

5. Whole.

6. Integer.

It is a terminating decimal, hence it is a rational number.

The square root of 5 is not exact, hence it is a non-terminating decimal, meaning that is an irrational number.

It is a fraction, hence it is a rational number.

It is a positive non-decimal number, hence it is a whole number.

The square root of 16 is of 4, which is a positive non-decimal number, hence it is a whole number.

The result of the division is of -4, which is a negative non-decimal number, hence it is an integer number.

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Answer:

a. (3.2)

b. (4)

every 1 cm equals 1.25 so 1.25 times 4 equals 3.5 you get the 1.25 by doing 5/4

so then for b you do 5 divided by 1.25 and you get 4...

Using the Venn diagram, each set and the number of elements in each set are:

a. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b. A = {1, 3, 4, 5, 6, 8}

c. B = {4, 5, 6, 7, 9, 11}

d. C = {6, 8, 9, 12}

e. A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f. A ∩ B = {4, 5, 6}

A Venn diagram is a pictorial representation used to visualize the relationships between different sets of objects or concepts.

a.) U is the universal set. This implies it contains all the elements in the set. Thus:

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12}

b.) A is all element (number) is set A (circle A). Thus:

A = {1, 3, 4, 5, 6, 8}

c.) B is all element is set B (circle B). Thus:

B = {4, 5, 6, 7, 9, 11}

d.) C is all element is set C (circle C). Thus:

C = {6, 8, 9, 12}

e.) A ∪ B is all element is sets A and B (circles A and B). Thus:

A ∪ B = {1, 3, 4, 5, 6, 7, 8, 9, 11}

f.) A ∩ B is all element is sets A and B (circles A and B) have in common. Thus:

A ∩ B = {4, 5, 6}

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Answer:

-11/8

Step-by-steexplanation:

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

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Answer:

3 feet

Step-by-step explanation:

39 divided by 13 = the unit rate per min.

39 divided by 13 = 3

Answer:

-3 feet

Step-by-step explanation:

Divide -39 by 13, since it takes 13 minutes to dig -39 feet:

-39/13

= -3

So, the change in depth after one minute is -3 feet

The fraction of the original passengers remaining on the bus is 11/21.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A crowded bus makes several stops along a city street, with no passengers boarding the bus at any stop.

.At the 1st stop 1/3 of the passengers exit.

At the 2nd stop, 3/7 of the remaining passengers exit the bus.

Therefore, The fraction of the original passengers who remain on the bus is,

= [(1 - (1×1/3) - (1)×(1/3)×(3/7)].

= [ 1 - (1/3) - (3/21)].

= [ (2/3) - (3/21)].

= [(14 - 3)/21].

= 11/21.

So, 11/21 remains on the bus.

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Answer:

C is the answer, please choose the letter C that's the answer

The inflection point of the function S(t) is given as follows:

(28.57, 0.155).

The inflection points of a function are the values of x at which the second derivative of the function assumes a value of zero.

In the context of this problem, the function is defined as follows:

\(A(t) = Atpe^{-kt}\)

Replacing the numeric values of the parameters into the function, the definition is:

\(A(t) = 0.04te^{-0.07t}\)

Applying the product rule, the first derivative of the function is:

\(A^{\prime}(t) = 0.04e^{-0.07t} - 0.0028te^{-0.07t}\)

The second derivative is the derivative of the first derivative, hence:

\(A^{\prime\prime}(t) = -0.0028e^{-0.07t}  -0.0028e^{-0.07t} + 0.000196te^{-0.07t}\)

\(A^{\prime\prime}(t) = -0.0056e^{-0.07t} + 0.000196te^{-0.07t}\)

The second derivative is zero when:

\(-0.0056e^{-0.07t} + 0.000196te^{-0.07t} = 0\)

\(0.000196te^{-0.07t} = 0.0056e^{-0.07t}\)

Simplifying the exponential:

0.000196t = 0.0056

t = 0.0056/0.000196

t = 28.57.

The output is:

\(A(28.57) = 0.04(28.57)e^{-0.07 \times 28.57} = 0.155\)

Hence the coordinates are:

(28.57, 0.155).

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The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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SOLUTION:

Case: Volume of a Cylinder:

The volume of a cylinder is the density of the cylinder which signifies the amount of material it can carry or how much amount of any material can be immersed in it. Cylinder’s volume is given by the formula, πr2h, where r is the radius of the circular base and h is the height of the cylinder. The material could be a liquid quantity or any substance which can be filled in the cylinder uniformly

Given:

radius, r= 4m

height, h= 10m

Method:

The Volume of a cylinder is given as:

Final answer:

The Volume of the cylinder to the nearest tenth is 502.7 cubic meters