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

Which of the following expressions is equal to -12 ?
a.-15 - 3
b. -3 - (-9)
c. 5 - 17
d. -6 - (-6)

Answers

Answer:

c. 5 - 17

Step-by-step explanation:

a. -15 - 3 = -18

b. -3 - (-9) = 6

c. 5 - 17 = -12

d. -6 - (-6) = 0

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{Option A. \boxed{\bf \downarrow}}[/tex]

[tex]\huge\textsf{- 15 - 3}\\\huge\textsf{= -15 + (-3)}\\\huge\textsf{= \bf -18}\\\boxed{\huge\textsf{\bf -18 \boxed{\neq} -12}}\\\bullet\huge\text{ \bf Option A. cannot be your result.}[/tex]

[tex]\huge\text{Option B. }\boxed{\downarrow}[/tex]

[tex]\huge\textsf{-3 - (-9)}\\\huge\textsf{= -3 + 9}\\\huge\textsf{= \bf 6}\\\boxed{\huge\textsf{\bf 6 \boxed{\neq} -12}}\\\bullet\huge\text{\bf Option B. cannot be your result.}[/tex]

[tex]\huge\text{Option C. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{5 - 17}\\\huge\textsf{= 5 + (-17)}\\\huge\textsf{= \bf -12}\\\boxed{\bf -12 \ \boxed{=} -12}\\\huge\text{\bf Option C. could be the result.}[/tex]

[tex]\huge\text{Option D. \boxed{\downarrow}}[/tex]

[tex]\huge\textsf{-6 - (-6)}\\\huge\textsf{= -6 + 6}\\\huge\textsf{= \bf 0}\\\boxed{\bf 0 \ \boxed{\neq} -12}\\\huge\text{\bf Option D. cannot be your result.}[/tex]

[tex]\boxed{\huge\textsf{Answer: \bf Option C. \underline{\underline{5 - 17}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\boxed{\huge \boxed{\frak {Amphitrite1040:)}}}[/tex]

PLEASE HELP WILL GIVE BRAINLIEST!!!!

Answers

Answer:

wqhg

Step-by-step explanation:

its situated in u.s, in quahog , rhode island


1. demand can be said to control supply and demand.
(Consumer, Producer)

Answers

Answer:

The law of demand says that at higher prices, buyers will demand less of an economic good. The law of supply says that at higher prices, sellers will supply more of an economic good. These two laws interact to determine the actual market prices and volume of goods that are traded on a market.

Supply is generally considered to slope upward: as the price rises, suppliers are willing to produce more. Demand is generally considered to slope downward: at higher prices, consumers buy less. ... The relationship between the supply and demand for a good (or service) and changes in price is called elasticity.

three less than twice the square of a number is 47.

Answers

Answer:

5

Step-by-step explanation:

[tex]5^{2}[/tex] = 25

25 * 2 = 50

50 - 3 = 47

Hope that this helps!

Answer:

Step-by-step explanation:

let the number be x

Square of a number: x²

Twice the square of a number = 2*x² = 2x²

Three less than twice the square of a number = 2x² - 3

2x² - 3 = 47     {Add 3 to both sides}

2x² = 47 + 3

2x² = 50        {Divide both sides by 2}

 x² = 50/2

x² = 25          Take square root

x = √25

x = 5

-8n+34=6(5+4n) help please​

Answers

Answer:

n=1/8

Step-by-step explanation:

-8n+34=6(5+4n)

We move all terms to the left:

-8n+34-(6(5+4n))=0

We add all the numbers together, and all the variables

-8n-(6(4n+5))+34=0

We calculate terms in parentheses: -(6(4n+5)), so:

6(4n+5)

We multiply parentheses

24n+30

Back to the equation:

-(24n+30)

We get rid of parentheses

-8n-24n-30+34=0

We add all the numbers together, and all the variables

-32n+4=0

We move all terms containing n to the left, all other terms to the right

-32n=-4

n=-4/-32

n=1/8

Answer:

n= 0.125 or 1/8

Step-by-step explanation:

Distrubute 6 into (5+4n). It should give you 30+24n.

The equation should now look like this: -8n+34=30+24n.

Swap -8n with 30, giving -30+34=8n+24n. Add the numbers and the pronumerals together.

Now it will look like 4=32n. Divide the numbers, but unfortunately the number is small so the answer will have to be a decimal or a fraction. So it's 0.125 or 1/8.

If I didn't explain everything or something is wrong, please comment. I just signed up, so it's my first time using this.

Please help explanation if possible

Answers

Answer:

120 $12 tickets and 180 $15 tickets

Step-by-step explanation:

Given the 2 equations

12x + 15y = 4140 → (1)

x + y = 300 ( subtract y from both sides )

x = 300 - y → (2)

Substitute x = 300 - y into (1)

12(300 - y) + 15y = 4140 ← distribute and simplify left side

3600 - 12y + 15y = 4140

3600 + 3y = 4140 ( subtract 3600 from both sides )

3y = 540 ( divide both sides by 3 )

y = 180

Substitute y = 180 into (2)

x = 300 - 180 = 120

Number of $12 tickets : 120 ; Number of $15 tickets : 180

Man spends 1/5 of his salary on shoes and 2/3 on school fess what fraction of his salary is left

Answers

Answer: 2/15

Explanation :

1 - (1/5 + 2/3)
1 - (3/15 + 10/15)
1 - 13/15
15/15 - 13/15
= 2/15

factorise complete 4-(X-1)2?​

Answers

Answer:

hope it helps you

Step-by-step explanation:

mark it brainliest answer

What does "The product of n and 6 is subtracted from five-sixths of b" mean​

Answers

The product means it’s the answer to multiplication. So now we know n and 6 are being multiplied. Then it is subtracted from 5/6b. This could be written as 6n - 5/6b.

This was my understanding. Sorry if i was wrong!

Find the surface area of the composite figure

Answers

268 cm^2

Step-by-step explanation:

Find the SA of the purple rectangular prism:

LEFT FACE EXCLUDED

Front: (6)(2) = 12 cm^2

Back: 12 cm^2

Top: (7)(2) = 14 cm^2

Bottom: 14 cm^2

Right: (7)(6) = 42 cm^2

TOTAL: 94 cm^2

SA of the pink triangular prism:

RIGHT FACE EXCLUDED

Front: (1/2)(6)(8) = 24 cm^2

Back: 24 cm^2

Bottom: (7)(8) = 56 cm^2

Left: (10)(7) = 70 cm^2

TOTAL: 174 cm^2

Add both SAs of figures:

174 + 94 = 268 cm^2

For what values of k does the equation (2k + 1)x^2 + 2x = 10x – 6 have two
real and equal roots?

Answers

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

In this question, we use the concept of the solution of a quadratic equation to solve it, considering that a quadratic equation in the format:

[tex]ax^2 + bx + c = 0[/tex]

has two equal solutions if [tex]\Delta = b^2 - 4ac[/tex] is 0.

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

In this question:

The equation is:

[tex](2k+1)x^2 + 2x = 10x - 6[/tex]

Placing in the correct format:

[tex](2k+1)x^2 + 2x - 10x + 6 = 0[/tex]

[tex](2k+1)x^2 - 8x + 6 = 0[/tex]

Thus, the coefficients are: [tex]a = 2k + 1, b = -8, c = 6[/tex]

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

Delta:

We want it to be positive, so:

[tex]\Delta = b^2 - 4ac[/tex]

[tex]\Delta = 0[/tex]

[tex]b^2 - 4ac = 0[/tex]

[tex](-8)^2 - 4(2k+1)(6) = 0[/tex]

[tex]64 - 48k - 24 = 0[/tex]

[tex]-48k + 40 = 0[/tex]

[tex]-48k = -40[/tex]

[tex]48k = 40[/tex]

[tex]k = \frac{40}{48}[/tex]

[tex]k = \frac{5}{6}[/tex]

The equation has two real and equal roots for [tex]k = \frac{5}{6}[/tex]

A similar question is found at https://brainly.com/question/12144265

Geometry homework I need help pls pls pls

Answers

Answer:

vertex of 4 is 2

Step-by-step explanation:

cuh cuh uchuch uch uch uch

what is the predecessor of -36

Answers

Answer:

-35

Step-by-step explanation

A predecessor is something that came before the current version, and -36 is negative so before -36 is -35

Answer:

the correct answer is -34

Step-by-step explanation:

A predecessor is something that came before the current version.

hope it helps you

PLEASE HELP !!! 25 POINTS!Perform the following conversion.
0.09 km to dam


0.000 009 dam
0.000 009 dam

900 dam
900 dam

90 000 dam
90 000 dam

9 dam
9 dam

Answers

Answer:

9 dam

Step-by-step explanation:

1 km = 100 dam

0.09 km = 0.09 × 100

              = 9 dam

∴ 0.09 km = 9 dam

please answer this!!!​

Answers

Answer:

[tex]BC=40[/tex]

Step-by-step explanation:

Since AC is a tangent and PB is the raduis

[tex]\angle PBC= 9[/tex]

By pythagoras

[tex]PC^{2} =PB^{2} +BC^{2}[/tex]

[tex]41^{2} =9^{2} +BC^{2}[/tex]

[tex]1681-81=BC^{2}[/tex]

[tex]1600=BC^{2}[/tex]

[tex]BC=\sqrt{1600}[/tex]

[tex]BC=40[/tex]

OAmalOHopeO

Answer:

40

Step-by-step explanation:

A tangent to a circle is perpendicular to the radius intersection by definition. That makes BPC a right triangle at B.  BP and PD are both equal (9) because every radius of a circle is equal.  So

PC**2 = BP**2 + BC**2   or

41**2 = 9**2 + BC**2

1681 = 81 + BC**2

1681 - 81 = BC**2

1600 = BC**2

40 = BC

A food company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. For the family value box, the length of the box has been increased by 30%, the height has been increased by 20%, and the width remains the same.
By what percentage does the volume of the box increase from the regular box to the value box? Round your answer to the nearest percent.

Answers

70% - Rounded Answer

A rectangle has width 65 mm and length 72 mm What is the area of the rectangle in cm2 ?

Answers

Answer:

Step-by-step explanation:

Area of rectangle: l×b

Length = 72mm

= 7.2cm

Breadth = 65mm

= 6.5cm

(We know that 10mm = 1cm)

Area = 7.2×6.5

= 46.8cm²

The area of the rectangle is 46.8cm²

Must click thanks and mark brainliest

Answer:

area of a rectangle is (l×w)

Step-by-step explanation:

1cm=10mm

hb65mm

1cm×65mm

allover10mm

=6.5cm

do the same to 72mm to get 7.2cm

you then say 6.5cm×7.2cm

=46.8cm2

hope this helps

pls help with this question

Answers

Try this

(x^2 + x - 12) + (x^2 - 8x + 16)

2y - 1

√36

i wanted to help you! :)

Answer:

[tex]\frac{3}{3}[/tex] = 1   (everything basically cancels)

Step-by-step explanation:

Answer ASAP please!
….

Answers

For triangle a use Pythagorean theorem to find the hypotenuse.
A^2+b^2=c^2
15^2+9^2=c^2
225+81=306
C^2=306
C=17.49 or square root of 306

For b) 18^2+B^2=23^2
324+B^2=529
B^2=205
B=14.32 or square root of 205

Select the correct answer from each drop-down menu.
The table shows certain values of a cubic function.

Answers

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

solve 6x + 3 < x < 3x + 9 for integers values of x

Answers

Answer:

-9/2 < x < -3/5

Step-by-step explanation:

So first, we take the left part of the inequality to solve and ignore the right part for now, which leaves us 6x + 3 < x.

1. Subtract 3 from both sides:

6x < x - 3

2. subtract x from both sides:

5x < -3

3. divide 5 from both sides:

x < -3/5

Then, we do the same thing as part 1, but this time with x < 3x + 9.

1. Subtract 9 from both sides:

x - 9 < 3x

2. subtract x from both sides:

-9 < 2x

3. divide both sides by 2:

-9/2 < x.

Notice how we have a value that x is less than and a value that x is greater than. So now, all we have to do is to put the two inequalities together, leaving only one x in the middle. Hence, -9/2 < x < -3/5.

I hope this helped! :D

[tex]\\ \sf\longmapsto 6x + 3 < x < 3x + 9 \\ \\ \sf\longmapsto 6x - 3x < x < 9 - 3 \\ \\ \sf\longmapsto 3x < x < 6 \\ \\ \sf\longmapsto x < \frac{x}{3} < 2[/tex]

ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.
1.) 2√13
2.) √58
3.) 4√3
4.) 2√3

Answers

AB=3AC=7

Using Pythagorean theorem

[tex]\\ \sf\longmapsto BC^2=AB^2+AC^2[/tex]

[tex]\\ \sf\longmapsto BC^2=7^2+3^2[/tex]

[tex]\\ \sf\longmapsto BC^2=49+9[/tex]

[tex]\\ \sf\longmapsto BC^2=58[/tex]

[tex]\\ \sf\longmapsto BC=\sqrt{58}[/tex]

dose -8+a=-6 over 2 equal 2

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

because BLA BLA I just need points

Sue was paid $384 for working 32 hours. How many hours will she have to work to earn $672?​

Answers

Answer:

56

Step-by-step explanation:

Answer:

56 hours

Step-by-step explanation:

I divided 384 dollars by 3w hours and then was Sue made 12 an hour. Then I tried mukyiplong different times until I discovered 12×56=672. So, 56 hours

I need help please. The question is already there. Tysm. 20 points.

Answers

Answer:

$109 and 35%

Step-by-step explanation:

49.05 is the sale price and the discount is 55%. What’s the original price?

price/ 1- discount

49.05/ 1 - 0.55

49.05/ 0.45

109

for the other part

to find the discount subtract final price from original price

94 - 61.10 = 32.9

Which would be 35% in percent form.

Giving Brainliest for right answers :)

Answers

Answer:

∠ DFE = 15°

Step-by-step explanation:

The inscribed angle DFE is half the measure of its intercepted arc, that is

∠ DFE = [tex]\frac{1}{2}[/tex] DE = [tex]\frac{1}{2}[/tex] × 30° = 15°

Answer:

<DFE = 15

Brainliest, please!

Step-by-step explanation:

<DFE is an inscribed angle. An inscribed angle measures half as much as it's opposite arc.

30 x 1/2 = 15


algebra help pls111

Answers

Answer:

-5, 2

Step-by-step explanation:

Jason owns a food truck that sells tacos and burritos. He sells each taco for $4.75 and each burrito for $7.50. Yesterday Jason made a total of $790 in revenue from all burrito and taco sales and there were twice as many burritos sold as there were tacos sold. Write a system of equations that could be used to determine the number of tacos sold and the number of burritos sold. Define the variables that you use to write the system.
:)

Answers

Answer:

4.75t + 7.50b = 790

b = 2t

Step-by-step explanation:

Let t represent the number of tacos that he sold, and let b represent the number of burritos he sold.

4.75t can represent how much money he earned from selling tacos, and 7.50b can represent how much money he earned from selling burritos.

Create an equation that adds these together and sets them equal to 790:

4.75t + 7.50b = 790

Next, create another equation that represents how there were twice as many burritos sold than tacos.

This can be represented by b = 2t.

The system of equations is:

4.75t + 7.50b = 790

b = 2t

Consider the functions...

Answers

[tex]g(x) = \sqrt{x - 5} + 2 \\ g(5) = \sqrt{5 - 5} + 2 = 0 + 2 \\ g(5) = 2[/tex]

I hope I helped you^_^

Multiply: 4 (−5 2/3) Enter your answer as a fraction in simplest form, like this: 42/53

Answers

[tex]\\ \sf\longmapsto 4\left(-5\dfrac{2}{3}\right)[/tex]

Convert mixed fraction into simple fraction form

[tex]\\ \sf\longmapsto 4\left(-\dfrac{5(3)-2}{3}\right)[/tex]

[tex]\\ \sf\longmapsto 4\left(-\dfrac{17}{3}\right)[/tex].

[tex]\\ \sf\longmapsto \dfrac{-68}{3}[/tex]

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