There are 5 cocoa pods in a bag.
The mean weight of the 5 cocoa pods is 398 grams.
A sixth cocoa pod is put into the bag.
The mean weight of the 6 cocoa pods is 401 grams.
Work out the weight of the sixth cocoa pod that is put into the bag

Answers

Answer 1

Answer:

416 g

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

[tex]\frac{sum}{5}[/tex] = 398 ( multiply both sides by 5 )

sum of 5 pods = 1990 g

let x be the weight of the sixth pod , then

[tex]\frac{1990+x}{6}[/tex] = 401 ( multiply both sides by 6 )

1990 + x = 2406 ( subtract 1990 from both sides )

x = 416

That is the weight of the sixth pod is 416 g


Related Questions

Question 2 of 10
What is the length of MN?
M
4x
x + 3
250"
50
N
A. 4
o
B. 1
C. 7
ОО
D. 8

Answers

Answer:

4

Step-by-step explanation:

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

The measurement of MN side is 4

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Since the base angles are the same, the side have to be the same

ML = MN

4x = x+3

Subtract x from each side

4x-x = x+3-x

3x= 3

Divide by 3

3x/3 = 3/3

x = 1

We want the length of MN

MN = x+3 = 1+3 = 4

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ7

4. If 2 Cos A-1 = 0, then the value acute value A is​

Answers

Answer:

[tex]A=60^{\circ}[/tex]

Step-by-step explanation:

Given [tex]2\cos A-1=0[/tex],

Add 1 to both sides:

[tex]2\cos A=1[/tex]

Divide both sides by 2:

[tex]\cos A=\frac{1}{2}[/tex]

Take the inverse cosine of each side (note that the question stipulates that A is acute):

[tex]\arccos(\cos A)=\arccos(\frac{1}{2})[/tex]

[tex]A=\arccos(\frac{1}{2}), A\in (0^{\circ}, 90^{\circ}),\\A=\boxed{60^{\circ}}[/tex]

A= 60






YOU’RE WELCOME:))

ahmed is sitting on a dock watching a float plane in a harbour. At a certain time, the plane is 350 m above the water and 470 m from Ahmed. Determine the angle of elevation of the plane measured from Ahmed, to the nearest degree

Answers

Answer:

The angle of elevation of the plane measured from Ahmed is approximately 36.67°

Step-by-step explanation:

The given parameters of the float plane are;

The height of the float plane above the water, y = 350 m

The horizontal distance of the float plane from Ahmed, x = 470 m

Given that Ahmed is sitting on the dock, by the water, by trigonometric ratios, we have;

The height of the float plane, the distance of the plane from Ahmed and the line of sight forming the angle of elevation of the plane measured from Ahmed, form a right triangle

[tex]tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent \ Leg\ length}[/tex]

Therefore

[tex]tan(\theta) = \dfrac{y}{x}[/tex]

Where;

θ = The angle of elevation of the plane measured from Ahmed

y = The leg of the right triangle opposite the reference angle

x = The leg  of the right adjacent to reference angle

Therefore;

θ = arctan(y/x) which gives;

θ = arctan(350/470) ≈ 36.67°

The angle of elevation of the plane measured from Ahmed, θ ≈ 36.67°.

The difference between the square of two numbers is 11. Twice the square of the first number increased by the square of the second number is 97 find the numbers

Answers

Answer:

Below in bold.

Step-by-step explanation:

x^2 - y^2 = 11

2x^2  + y^2 = 97

From the first equation:

y^2 = x^2 - 11

Substituting in the second equation:

2x^2 + x^2 - 11 = 97

3x^2 = 108

x^2 = 36

x = 6, -6.

Substituting  for x in the first equation:

(6)^2 - y^2 = 11

y^2 = 36 - 11 = 25

y = 5, -5.

Which parent function is represented by the table? ​

Answers

Answer:

C

Step-by-step explanation:

In fact the symbol |x| means absolute value that is ever a positive value (or equal to 0 if x = 0)

Answer:

Answer B

Step-by-step explanation:

It's a linear function

Find the equation of the line through the points (-5,11) and (2,-3)
y=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - 11 / 2 - (-5)

-14/ 7

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

Analyze the diagram below and complete the instructions that follow.



Quadrilateral LMNO is a rectangle. Find MN.

A.
7
B.
10
C.
18
D.
27

Answers

Answer:

there is no diagram ......


Find the length of the diagonal of a rectangular football pitch with sides 42.9 m and 78.4 m.
Give your answer rounded to 1 DP.

Answers

Answer:

triganometry is mathematics

Given that BD is the perpendicular bisector of AC , set up the equation needed to solve for x and find the value of x

Answers

Answer:

below

Step-by-step explanation:

that is the procedure above

Step-by-step explanation:

4x = 6x-10

10 = 6x-4x

2x = 10

x = 5

helpppp meeeee outttttt pleaseeeee ASAPPPP!!!!

Answers

Answer:

[tex]\boxed{\sf sin\ C =\frac{40}{41}}[/tex]

Step-by-step explanation:

We need to find out the value of sinC using the given triangle . Here we can see that the sides of the triangle are 40 , 41 and 9 .

We know that the ratio of sine is perpendicular to hypontenuse .

[tex]\sf\longrightarrow sin\theta =\dfrac{ perpendicular}{hypontenuse}[/tex]

Here we can see that the side opposite to angle C is 40 , therefore the perpendicular of the triangle is 40. And the side opposite to 90° angle is 41 . So it's the hypontenuse . On using the ratio of sine ,

[tex]\sf\longrightarrow sinC =\dfrac{ p}{h}\\\\\sf\longrightarrow sin\ C =\dfrac{AB}{AC}[/tex]

Substitute the respective values ,

[tex]\sf\longrightarrow \boxed{\blue{\sf sin\ C =\dfrac{40}{41}}}[/tex]

Hence the required answer is 40/41.

What is the area of trapezoid DEFG with coordinates D (4, 3), E (4, 0), F (2, 1), and G (2, 3)?
10 square units
5 square units
3 square units
2 square units

Answers

The area of the trapezoid is 10 square units

How to find the area of a trapezoid?

The formula for finding the area of the trapezoid is expressed as:

A = 0.5(a+b)h

where:

a and b are the sides

h is the height

Given the following

a = 3

b = 2

h = 4

Determine the requried volume of the trapezoid

Substitute

A = 0.5(3 + 2)*4

A = 0.5(20)

A = 10 square units

Hence the area of the trapezoid is 10 square units

Learn more on area of trapezoid here: https://brainly.com/question/1463152

Answer:

B) 5 Square Units

Step-by-step explanation:

Answered from another colleague :)

B1 = 2

B2 = 3

H = 2

A = 1/2 (B1 + B2) H

1/2 (2+3) 2

1/2 (5) 2

(2.5)2

5

What is Index Law 1?
please give a definition

Answers

Answer:

LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . ... Example: In this example, the powers were multiplied together to give the answer which is 3 to the power of 6.

10. A rectangle whose length is twice its width has a diagonal equal to one side of a given square. The ratio of the area of the rectangle to the area of the square is​

Answers

Answer:

2/5

Step-by-step explanation:

First, we can draw the rectangle out, as shown. The length is twice the width, and the diagonal, y, cuts across the rectangle. This forms a right triangle, and using the Pythagorean Theorem, we can say that

y² = x² + (2x)²

y² = x² + 4x²

y² = 5x²

square root both sides

y=√(5x²)

The diagonal, or y, is equal to √(5x²). This is equal to one side of the square

The area for the rectangle, which we need to find for the ratio, is length * width = x * 2x = 2x²

The area for the square, which we also need to find for the ratio, is (side length)² = √(5x²) = 5x²

The ratio for the area of the rectangle to the area of the square is therefore 2x²/5x² = 2/5 (crossing out the x² in both the numerator and the denominator). We know to put the rectangle on top because of the specific wording of "the ratio of the area of the rectangle to..."

If Q = 5+2i, E = i, and D = 5-2i, find Q.E.D

Answers

Answer:

Q.D.E=(5+2i).(5-2i).i = (25-4i²)i = 25i-4i³

Step-by-step explanation:

Please hurry I will mark you brainliest

What is the slope of this?

Answers

Answer:

-1/4

Step-by-step explanation:

Pick two points on the line

(-4,3) and (4,1)

Using the slope formula

m = (y2-y1)/(x2-x1)

    = ( 1-3)/(4 - -4)

    = (1-3)/(4+4)

   = -2/8

   = -1/4

If somebody can give me the answer!!!
Please I need help

Answers

Answer:

Its B

Step-by-step explanation:

You're correct

B is the correct answer

Can someone help me with this math homework please!

Answers

9514 1404 393

Answer:

  (-1, 1)

Step-by-step explanation:

Find the differences between an f(x) value and the previous one

  3 -18 = -15

  0 -3 = -3

  3 -0 = 3

  6 -3 = 3

  3 -6 = -3

Where the differences are positive, the function is increasing on the interval. Here, it is increasing on the intervals (-1, 0) and (0, 1). Then the longest increasing x-interval is (-1, 1).

(-6)+(-1)+4+9+...+64 sequence

Answers

Answer:

n

Step-by-step explanation:

hb

U have to times add subtract any of the numbers well what ever numbers u have to do for that and then u add the numbers without the brackets and always put the numbers in brackets first!! Always!!

Use the figure to find the angle m

Answers

Answer:

Measure of angle M = 41°

Step-by-step explanation:

From the figure attached,

NM ≅ NO [Given]

Therefore, ∠O ≅ ∠M [Opposite angle of the equal sides]

By triangle sum theorem,

m∠O + m∠N + m∠M = 180°

m∠O + m∠N + m∠O = 180° [Since, ∠M ≅ ∠O]

By substituting the values of the given angles,

(4y - 15)° + (7y)° + (4y - 15)° = 180°

(15y - 30) = 180

15y = 210

y = 14

Therefore, m∠M = (4y - 15)°

                           = 4(14) - 15

                           = 56 - 15

                           = 41°

The function f(x) = x2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?

g(x) = (x + 9)2 + 4
g(x) = (x + 9)2 − 4
g(x) = (x − 4)2 + 9
g(x) = (x + 4)2 + 9

Answers

For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
If it’s horizontally translated, the x value/ input is altered, meaning that the value is added or subtracted from x. In this case, you move 4 units to the right, so you’d have (x-4)^2. Then vertical change is shown by changes to the y value, so it would be outside the parentheses. So you get +9 out of the parentheses.

g(x)=(x-4)^2+9

(x^2 + 5x + 2) – (5x^2 – x – 2) =

Answers

Answer:

[tex]{ \tt{( {x}^{2} + 5x + 2) - (5 {x}^{2} - x - 2) }} \\ = { \tt{(1 - 5) {x}^{2} + (5 + 1)x + (2 + 2)}} \\ = { \tt{ - 4 {x}^{2} + 6x + 4 }} \\ = { \tt{ - 2(2 {x}^{2} - 3x - 2) }}[/tex]

Helppp and explain pls and ty

Answers

The answer should be c 4 hours

What is the minimum perimeter of a rectangle with an area of 625 mm^2

Question 2 options:


100 mm


125 mm


156.25 mm


312.5 mm

Show your work:

Answers

Answer:

100 mm

Step-by-step explanation:

Square root the area to find the length of each side

[tex]\sqrt[]{625} =25[/tex]

Multiply 25 by 4 to get the sum of all four sides for the perimeter

25 x 4 = 100

El periodo de un movimiento circular uniforme es de
8 segundos. ¿Cuál es su velocidad angular?

Answers

Answer: I dont understand what your saying im sorry, I'd really like to help but I cant :(

What is the midpoint of AB?
A
F GHI
B
+
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
3 4 5 6 7
5 6 7 8 9
+
+
point F
point G
point H
O point

Answers

Answer:

the answer is point G

It is found that Point G is the midpoint of AB.

What does a midpoint mean?

Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.

We are Given two points A and B which are located at -6 and 8 on the number line. We need to find the midpoint of AB.

First we have to calculate the distance between AB which can be calculated as;

8-(-6)=14 units

Now, to find the midpoint we have to divide the total distance by 2.

Hence, the mid point of AB is 7 units apart from both points A and B then G.

Learn more about midpoint here;

https://brainly.com/question/5127660

#SPJ5

Use the cross product property to determine witch of the following equalities are proportions:

6.6/1.1 = 0.3/0.05

Answers

Answer:

proportion

Step-by-step explanation:

6.6/1.1 = 0.3/0.05

Using cross products

6.6 * .05 = 1.1 * .3

.33 = .33

Since this is a true statement, the statement is a proportion

The rule T 5, -0.5° Ro, 1800(x, ) is applied to FGH to
produce F"G"H". what are the coordinates of vertex F" of F"G"H"?

Answers

Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

[tex]T_{5,-0.5}.R_{0.180^{\circ}}(x,y)[/tex]

Apply the rule [tex]R_{0,180^{\circ}}[/tex] first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

F' → (-1, -1)

G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

[tex]T_{5,-0.5}[/tex]

(x, y) → (x + 5, y - 0.5)

By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

            → F"(4, -1.5)

G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

If a rectangle has a length of 10 and an area of 50 Units squared what is the perimeter

Answers

Answer:

The perimeter is 10+10+5+5, or 30.

Step-by-step explanation:

The formula to find area is A=LW. Since the area is 50, we can assume that the width is 5, because 10x5=50. The perimeter is made up of the sides of a rectangle, or L+L+W+W. This is 10+10+5+5.

Answer: 30


Step 1: Find width

Before we can find the perimeter, we must first determine the width. We are told that the length is 10, and the area is 50. To find the width, let’s write an equation. We can do so by remembering that the area is equal to the length and width.

a= l × w
50= 10 × w

Now that we have an equation, we can solve. Let’s do so by isolating w. To do so, divide each side by 10.

50= 10 × w
5= w

Step 2: Find perimeter

We now know the width. Let’s use our knowledge to find the perimeter. We can begin by writing the formula for the perimeter, and substituting each factor to find out answer. Remember that the perimeter is all of the sides added together.

p= L+L+w+w
p= 2L+2w
p= 2(10)+2(5)
p= 20+10
p= 30


Hope this helps! Comment below for more questions.

make 24 with the numbers below :
5, 10, .5, 1

Answers

Answer:

0.5(5 × 10) - 1

Step-by-step explanation:

((5 × 10) × 0.5) - 1

((50) × 0.5) - 1

25 - 1

24

6. The right triangles ABC and DEF
are similar. The hypotenuse of ABC
measures 12 cm and the hypotenuse
of DEF measures 24 cm. If one of
the legs of ABC measures 9 cm,
what does the corresponding leg
of DEF measure?
A 4.5 cm
B 18 cm

Answers

Answer:

B. 18 cm

Step-by-step explanation:

24 / 12 = 2.

9 x 2 = 18 cm.

Hope this helps!

Other Questions
help please! i'm in class and i have 10 mins left. :) 1. Suppose company A wants to develop a program that duplicates the functionality of a program made by company B. Describe how company A may do this without violating the copyrights held by company B A cylindrical piece of iron pipe is shown below. The wall of the pipe is 1.25 inches thick: The figure shows a cylinder of height 14 inches and diameter 8 inches What is the approximate inside volume of the pipe? 332 cubic inches 69 cubic inches 703 cubic inches 99 cubic inches SOMEONE HELP ME PLEASE Which of the following is NOT part of the definition of Planet? Write down the turning point of the graph y=x^2 - 8x + 22 What is the APR on a loan with an effective annual rate of 15.26% and weekly compounding of interest? AYUDAAA!! Compara 3/15 y 0.92 PLEASE HELPPPPP ASAPPPPPPPPPPPPP PLEASEEEE 3 Transcrie din text calitile pe care le avea micul ciobna. Simplificar expresiones algebraicas A sample of 0.0860 g of sodium chloride is added to 30.0 mL of 0.050 M silver nitrate, resulting in the formation of a precipitate. (a) Write the molecular equation for the reaction. (b) What is the limiting reactant in the reaction? (c) How many grams of precipitate potentially form? Please Help Me!!!!!!! which of the following is a true statement about credit? what do you think Merciful means? ( in your own word, my hw is about asking someone what merciful means so yea) California laws requires that renters be paid interest on their security deposits. You are considering renting a one bedroom uni at The Sterling Heights Apartments, where a $1,500 security deposit is required. You plan to live there about three years. If you expect 2 percent a year how much interest should you expect to receive when you move out in three years Kenji is attempting to learn French. He is seated in a library with headphones on, listening to classical music, as he stares at a textbook and tries to memorize French words. In a single moment, a new song comes on that Kenji particularly enjoys, and he suddenly finds it easier to remember the French words he is looking at. In this moment, the French words are being processed by Kenji's _____, while the music is being processed by Kenji's _____. Discuss at least five ways of practicing good device care and placement You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.A.No; five number cubes were rolled instead of one.B.Yes; none of the rolls has an effect on another roll.C.No; none of the rolls had the same outcome.D.Yes; all the rolls had different outcomes. In classifying the kinds of projects an organization has in its portfolio, projects that are typically those needed to meet regulatory conditions required to operate in a region are ___________ projects. Multiple Choice Conformance Compliance (must do) Operational Sacred cow Strategic