I need help on this one please

Answer:

The cost price of 250 grams of super mix cocoa is Kshs.650/1.3=Kshs.500.

The cost price of 1 kg of super mix cocoa is Kshs.500*4=Kshs.2000.

If x kg of cocoa A is mixed with (1-x) kg of cocoa B, then the cost price of the mixture is Kshs.1800x+Kshs.2400(1-x).

Therefore, Kshs.1800x+Kshs.2400(1-x)=Kshs.2000.

Solving for x, we get x=2/3.

Therefore, the cocoa types A and B are mixed in the proportion 2:1.

Area of circle of diameter with 13cm is 132.74

What is area of circle?

Given :

Diameter of circle, d = 13cm

Radius of a circle, r = d/2

=13/2

=6.5

Area of circle = πr²

= 3.142 * 6.5 * 6.5

= 132.74

Hence, the Area of circle of diameter with 13cm is 132.74.

To know more about area of circle click the below link:

https://brainly.com/question/14068861

#SPJ9

C. 8

8/3 = g/3

, x3 both side

8/3 x 3 = g

8/3 x 3/1 = g

24/ 3 = g

8 = g

Hope this helps!

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

For such more questions on Measurements:

https://brainly.com/question/27122947

#SPJ11

Solution :

We know, cot 2θ = 1/tan 2θ

Multiplying tan 2θ  both side of the given equation.

tan²2θ - 3tan 2θ - 10 = 0

tan²2θ - 5tan 2θ + 2tan 2θ  - 10 = 0

tan 2θ ( tan 2θ - 5 ) + 2 ( tan 2θ  - 5 ) = 0

tan 2θ = -2 or tan 2θ  = 5

Therefore, \(\theta = \dfrac{tan^{-1} (-2)}{2}\) or \(\theta = \dfrac{tan^{-1} (5)}{2}\)

Hence, this is the required solution.

Answer:

Step-by-step explanation:

26/7

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*\(\pi\)*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*\(\pi\)*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

Learn how to calculate the Area,

https://brainly.com/question/2607596

Answer:

(-6)(4) x (-6) (2/3)

Step-by-step explanation:

if you solve the equation you get k=-1

By making linear equations from given statements, 11 games of cribbage and 8 games of chess are being played.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.

Now,

let no. of cribbage games played=y

no. of chess games played=x

given that Total people=60 and Everyone chooses to play chess, a two-player game, or cribbage, a four-player game.

then, 2x+4y=60  -->1

and There are 3 more games of cribbage being played than games of chess being played.

y=3+x  -->2

from 1 and 2, x=8 and y=11

Hence,

            11 games of cribbage and 8 games of chess are being played.

To know more about linear equations visit the link

https://brainly.com/question/29739212?referrer=searchResults

#SPJ1

Answer:

-4

Step-by-step explanation:

| f+g| - h

F=3. G=-4. H=5.

| 3 + -4| -5

| -1| -5

The absolute value of -1 is 1

1 -5

-4

Answer:

i hope this helps you

The Equation of the line is 2y = -x.

Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\)

Given Points of the line are (0,0) and (4,-2).

Since we are given two points.

\((y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\\\(y - (-2)) = \dfrac{-2- 0}{4 - 0} (x -4)\\\\\\(y - (-2)) = \dfrac{-1}{2} (x -4)\\\\2(y + 2) =-1(x -4)\\\\2y + 4 = -x + 4\\\\2y = -x\\\\\)

Therefore, Equation of the line is 2y = -x.

Learn more about linear equations here:

https://brainly.com/question/27465710

#SPJ2

Answer:

If y varies directly with the square of x, we can express this relationship using the equation:

y = kx^2

where k is the constant of proportionality. To find the value of k, we can use the given information that y is 16 when x is 8:

16 = k * 8^2

Simplifying the equation, we get:

16 = 64k

Dividing both sides by 64, we get:

k = 16/64 = 1/4

So the equation that relates y and x is:

y = (1/4)x^2

We can use this equation to find the value of y for any given value of x. For example, if x is 10, we have:

y = (1/4) * 10^2 = 25

Therefore, when x is 10, y is 25.

A total of 8 workers are required for a building time of 15 days.

In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:

n ∝ 1 / t

n = k / t

Where k is the proportionality ratio, which can be eliminated by building the following formula:

n₁ · t₁ = n₂ · t₂

If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:

n₂ = n₁ · (t₁ / t₂)

n₂ = 10 · (12 / 15)

n₂ = 10 · (4 / 5)

n₂ = 8

To learn more on inverse relationship: https://brainly.com/question/30094619

#SPJ1

Answer:

1/5

Step-by-step explanation:

If you focus on one of the coordinates, for example (10,10) you will notice that 10 divided by 5 equals 2.  If you do that on both X and Y it will give you 2.  The black shape's top right cordinate is (2,2) which explains why its 1/5...

Can I plz have it!

Answer:

(btw the first question answer is -4, not 0)

10

Step-by-step explanation:

(btw the first question answer is -4, not 0)

So to solve the 2nd equation you substitute t with 30

so 30-2/3*30

30-20=10

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The car will cover a distance of 180 miles in three hours.

We know that,

                      s = d/ t

           or       d = s* t

Where, s = speed

            d = distance

             t = time

According to the question,

               speed of the car (s) = 60 miles/ hour

                 Time taken (t)         = 3 hours

                 Distance travelled (d) = s * t

                                                      = 60miles/ hour * 3 hours

                                                      = 180 miles

Hence, the distance traveled by car in 3 hours is 180 miles.

Learn about Speed and Distance:

brainly.com/question/12759408

Answer:

\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

Step-by-step explanation:

Convert 1/2 + i√3/2 to rectangular form

\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)

Use DeMoivre's Theorem

\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)

In a case wherebyMr. Pearson drives a bus for the city of Greenwood and Last month, he kept track of the number of bus riders each day the least number of bus riders is 50.

The least number can be described as the number that serves as the smallest among the given number.

Based on the record that was kept, t can be deduced that the highestnumber is 100 whereby the least of the number is 50 which implies that option A is correct because it is considered to be smallest number hence te least number.

Learn more about number at:

https://brainly.com/question/24644930

#SPJ1

compete question;

Mr. Pearson drives a bus for the city of Greenwood. Last month, he kept track of the number of bus riders each day.

Bus riders

50

60

70

80

90

100

What was the least number of bus riders?

We will find that set C has 24 elements with only integer coordinates.

First, we know that set A is defined as:

A = [1, 2] x [1,10]

So we have a product of intervals, the first interval defines the value of the first coordinate and the second interval defines the value of the second coordinate.

The elements of A with integer coordinates are:

A {(1, 1), (2, 1), (1, 2), (2, 2), ..., (1, 10), (2, 10)}

And set B is writen as:

B = [2,3] x [5,8].

The elenets with integer coordinates are:

  = { (2, 5), (3, 5), ...,(2, 8), (3, 8)}

Now we want to find the union of these sets, the union is just the group of all the points that are in both A and B (the repeated ones are only counted once) then we can write:

C = AUB = [1, 2]×[1, 10] + [2, 3]×[5, 8] - {2}×[5, 8]

We subtract the last part because these would be counted twice if we don't.

The number of elements of each one of these is equal to the product between the numbers of elements of each interval:

[1, 2]×[1, 10] = 2*10 =  20

[2, 3]×[5, 8] = 2*4 = 8

{2}×[5, 8] = 1*4 = 4

Then the number of elements in C is:

C = AUB = [1, 2]×[1, 10] + [2, 3]×[5, 8] - {2}×[5, 8] = 20 + 8 - 4 = 24

Set C has 24 points with integer coordinates.

Learn more about sets at:

https://brainly.com/question/2166579

#SPJ1

Answer:

Y = 5.5x

The constant is 5.5

since no matter what y and x are there will always be a 5.5 difference

Also mark brainliest please

The required constant of proportionality is 5.5 in the given expression.

Given that,
The equation y = 5.5x represents a proportional relationship. What is the constant of proportionality is to be determined.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
The given proportion equation is,?
y = 5.5x
Where y is the dependent variable and x is the independent variable,
And 5.5 is contant.

Thus, the required constant of proportionality is 5.5 in the given expression.

Learn more about proportionality here: https://brainly.com/question/22620356

#SPJ6

By observing the pace at which this compressed region moves through the medium, we may determine the sound speed.The speed of sound is roughly 343 meters per second or 767 miles per hour in dry air at 20 degrees Celsius.

Calculate speed of sound wave?

3*108 m/s, hence t = 0.217m / (3*108 m/s) = 0.000669 s.

The answer is o.000669 s, as determined in step 2, even though this time is entirely negligible.

To learn more about speed of wave refer

https://brainly.com/question/22673264

#SPJ13

Answer:

Step-by-step explanation:

Imagine line BF parallel  to both AB and CD

Then

Answer:

Step-by-step explanation:

∠EAB = 73

∠BCD = 52    

          125

∠ABC = 360 - 125

          = 235°

Answer:n=9

n+4=13

n+4-4=13-4

n=9

Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

Learn more about cost in https://brainly.com/question/30045916

#SPJ1

The correct option is (b) i.e. The cosecant of an angle is defined as the length of the hypotenuse over the length of the side opposite.

What is Trigonometric ratio?

Trigonometric ratios are mathematical functions used in trigonometry, which is the branch of mathematics that deals with the relationships between the sides and angles of triangles. The three main trigonometric ratios are sine, cosine, and tangent

All statements contain some sort of mistake except the statement (b).

The statements should be corrected as given below:

A). The cosine of an angle is defined as the length of the side adjacent over the length of the hypotenuse.

C). The cotangent function is defined as the length of the side adjacent over the length of the side opposite.

D). The sine function is defined as the length of the side opposite over the length of the hypotenuse.

To learn more about Trigonometric ratio, visit the link:

https://brainly.com/question/25618616

#SPJ1

Answer:

32 degrees fahrenheit =

0 degrees celsius

The expression are matched to the simplest form as shown below

simplest form   Equation

12 - 1/2r              (13 - 3/2 r) - (1 - r)

r - 13/6                (7r - 3/2) - (2/3 + 6r)

13r + 20              (6r + 7) + (13 + 7r)

-12 + r                 (-8 - r) + (2r - 4)

The simplest form is solved by evaluating each of the equation in the problem

Evaluating the expressions

(6r + 7) + (13 + 7r)

collecting like terms

6r + 7r + 13 + 7

13r + 20

(13 - 3/2 r) - (1 - r)

opening the parenthesis (the negative sign before the second parenthesis changes the sign in the second parenthesis)

13 - 3/2 r - 1 + r

collecting like terms

13 - 1 - 3/2 r + r

12 - 1/2 r

(-8 - r) + (2r - 4)

collecting like terms

-8 - 4 - r + 2r

-12 + r

(7r - 3/2) - (2/3 + 6r)

opening the parenthesis (the negative sign before the second parenthesis changes the sign in the second parenthesis)

7r - 3/2 - 2/3 - 6r

collecting like terms

7r - 6r - 3/2 - 2/3

r - 13/6

Learn more about simplest form of equations at:

https://brainly.com/question/26315101

#SPJ1

Answer:

three

Step-by-step explanation:

stem. is the tens place and the leaf is the. ones place

so you want to find 68 so you look in the stem column and look for six

in the row there are 6 numbers which mean:

60, 61, 67, 68, 68, 68

as you can see there is three 68 there for the answer ths 3