the mean temperature for the first 7 days in January was 3c
the temperature the 8 day was 5c
what is the mean temperaturefot first 8 days in January?

Answers

Answer 1

Answer:

Mean = 3.25°C

Step-by-step explanation:

The mean (or average) is given by the formula:

Mean = Sum/Number of Numbers

For first 7 days, the mean was 3, so we can say:

Mean = Sum/Number of Numbers

3 = Sum/7

Sum = 3 * 7 = 21

Then on 8th day, the temperature was 5, so the new sum would be (for 8 numbers):

New Sum = 21 + 5 = 26

Now we calculate the mean for 8 numbers:

Mean = 26/8

Mean = 3.25°C


Related Questions

Aiden and three of his friends were roasting pumpkin seeds. There were 236 pumpkin seeds. If each person wanted an equal portion, how many pumpkin seeds will each boy get

Answers

Answer:

Each boy would get 59 seeds

Step-by-step explanation:

Aiden and his three friends = 4 people

236 divided by 4 = 59

Final answer:

Each boy will get 59 pumpkin seeds.

Explanation:

In this problem, Aiden and his three friends are sharing 236 pumpkin seeds equally. To find out how many pumpkin seeds each boy will get, we can divide the total number of seeds by the number of boys.



Divide the total number of pumpkin seeds, 236, by the number of boys, which is 4.



So, each boy will get 236 ÷ 4 = 59 pumpkin seeds.

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ScrapBook,you cut a picture into a right triangle for your scrapbook, the lengths of the lago of the triangle are 4 inches and 6 inches is the length of the hypotenuse a rational number

Answers

Answer:

hypotenuse is not a rational number

Step-by-step explanation:

In a Right angled triangle , if a, b are the sides and h be the hypotenuse then relationship between them is given by

[tex]h^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex]

Here,

         a= 4 in.        [Given]

          b = 6 in.       [Given]

Thus ,

  [tex]h^{2}[/tex]  = [tex]4^{2}[/tex] + [tex]6^{2}[/tex]

  [tex]h^{2}[/tex]  =  16 + 36

  [tex]h^{2}[/tex]  = 52.

   h = [tex]\sqrt{52}[/tex]  = 7.21110255......

Clearly, h is not a rational number

Which of the numbers 285, 629, 5490, 7392, 15708, 43695 are divisible by 3 but not by 9.

Answers

Answer:

285, 629, 7392, 15708,43695

Step-by-step explanation:

If you add the digits of the number together, it should be divisible by 9. If it isn't, then it must be a multiple of only 3, not 9.

Divisible by 3 and not by 9 are 285, 7392 and 15708.

Step-by-step explanation:

We need to find which of the numbers 285, 629, 5490, 7392, 15708, 43695 are divisible by 3 but not by 9.

      285

              285 ÷ 3 = 95  Divisible

              285 ÷ 9 = 31.66    Not divisible.  

              Correct

      629

              629 ÷ 3 = 209.67  Not divisible

              629 ÷ 9 = 69.89    Not divisible.  

              Not correct

      5490

              5490 ÷ 3 = 1830  Divisible

              5490 ÷ 9 = 610    Divisible.  

              Not correct

      7392

              7392 ÷ 3 = 2464  Divisible

              7392 ÷ 9 = 821.33    Not divisible.  

              Correct

      15708

              15708 ÷ 3 = 5236  Divisible

              15708 ÷ 9 = 1745.33    Not divisible.  

              Correct

      43695

             43695 ÷ 3 = 14565  Divisible

             43695 ÷ 9 = 4855    Divisible.  

              Not correct

Divisible by 3 and not by 9 are 285, 7392 and 15708.

solve the system of equations y=x^2+3-6 y=2x-6

Answers

The solutions of the system of equations are (0 , -6) , (-1 , -8)

Step-by-step explanation:

To solve a system of equations, one 1st degree and the other 2nd degree, do that:

Use the 1st degree equation to find one variable in terms of other variableSubstitute this variable in the 2nd degree equation and solve it to find the other variableSubstitute the value of the other variable in the 1st degree equation to find the first variable

∵ The system of equations is:

y = x² + 3x - 6 ⇒ (1)

y = 2x - 6 ⇒ (2)

Equate (1) and (2)

∴ x² + 3x - 6 = 2x - 6

- Add 6 to both sides

∴ x² + 3x = 2x

- Subtract 2x from both sides

∴ x² + x = 0

- Take x as a common factor in the left hand side

∴ x(x + 1) = 0

- Equate each factor by 0 to find the values of x

x = 0

∴ The first value of x is 0

∵ x + 1 = 0

- Subtract 1 from each side

x = -1

∴ The second value of x is -1

Substitute each value of x in equation (2) to find the values of y

∵ y = 2(0) - 6

y = 0 - 6 = -6

The first value of y is -6

∵ y = 2(-1) - 6

y = -2 - 6 = -8

∴ The second value of y is -8

∴ The solutions are (0 , -6) , (-1 , -8)

The solutions of the system of equations are (0 , -6) , (-1 , -8)

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Write the expression in simplest form.
(-11/2 x + 3)-2(-11/4x-5/2

Answers

Answer:

The solution of expression in the simplest form is 8

Step-by-step explanation:

Given as :

The expression is written

( [tex]\dfrac{-11 }{2}[/tex]x + 3 ) - 2 ( - [tex]\dfrac{11 }{4}[/tex]x - [tex]\dfrac{5 }{2}[/tex])

Or, ( [tex]\dfrac{-11 }{2}[/tex]x + 3 ) +[tex]\frac{11\times 2}{4}[/tex]x+  [tex]\frac{5\times 2}{2}[/tex]

Now, separate the variable terms

Or, ( [tex]\dfrac{-11 }{2}[/tex] + [tex]\frac{11\times 2}{4}[/tex]) x +  3 + 5

Or, ( 0) × x + 8

or , 0 + 8

∴ 8    

The simplest form if expression is 8

Hence The solution of expression in the simplest form is 8 . Answer

what is slope of a line that passes through (1,4) (-2,6) plz help

Answers

Answer:

-2/3

Step-by-step explanation:

m=(6-4)/(-2-1)=2/-3=-2/3

Will mark brainliest, complete the two-column proof.

Answers

See explanations

Step-by-step explanation:

1. DF≅EF ⇒ Reflexive property

2. ∠1≅∠2 ⇒Given

3.FG bisects ∠DFE ⇒Definition of a bisector

4. FG ≅ FG ⇒Given

5.ΔDFG ≅ΔEFG-SAS Congruence

The reflexive property of congruence simple means that any geometric figure is equal to itself. Line DF equals line FE because triangle ΔDFG≅EFG

A line segment that divides a angle into two equal parts in called an angle bisector. Line segment FG is bisects angle  ∠DFE

The Side Angle Side Postulate requires that two sides and included angle of one triangle are congruent to two sides and included angle of another triangle. In this case, angle ∠1 , ∠D and side DF equals ∠2, ∠E and side FE

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10 - 2 +6= 3x (7 + 8)​

Answers

Answer:

x = [tex]\frac{14}{45}[/tex]

Step-by-step explanation:

10 - 2 + 6 = 3x (7 + 8)​

3x (7 + 8) = 10 - 2 + 6

21x + 24x = 8 + 6

45x = 14

x = 14 ÷ 45

x = [tex]\frac{14}{45}[/tex]

The sides of an equilateral triangle are 8 units long. What is the length of the altitude of the triangle?
5 StartRoot 2 EndRoot units
4 StartRoot 3 EndRoot units
10 StartRoot 2 EndRoot units
16 StartRoot 5 EndRoot units

Answers

Answer:The perimeter of parallelogram PQRS = 2\sqrt{10}+8\sqrt{2} ⇒

2nd answer

Step-by-step explanation:* Lets revise some properties of the parallelogram

- Each two opposite sides are parallel

- Each two opposite sides are equal

- Its perimeter is the twice the sum of two adjacent sides

* Lets solve the problem

∵ PQRS is a parallelogram

∵ The length of side SR is

∵ The length of side QR is

∵ SR and RQ are two adjacent sides

∵ The perimeter of parallelogram PQRS = 2(RQ + SR)

∴ The perimeter of parallelogram PQRS =

∵  =

∵  =

∴ The perimeter of parallelogram PQRS =

Answer:

Option B.

Step-by-step explanation:

It is given that the sides of an equilateral triangle are 8 units long.

Draw an altitude of the triangle.

Altitude of an equilateral triangle is perpendicular bisector.

Let x be the length of the altitude of the triangle.

According to the Pythagoras theorem

[tex]hypotenuse^2=base^2+perpendicular^2[/tex]

Using Pythagoras theorem we get

[tex]8^2=4^2+x^2[/tex]

[tex]64=16+x^2[/tex]

[tex]64-16=x^2[/tex]

[tex]48=x^2[/tex]

Taking square root on both sides.

[tex]\sqrt{48}=x[/tex]

[tex]4\sqrt{3}=x[/tex]

The length of the altitude of the triangle is 4√3 units.

Therefore, the correct option is B.

A beverage company wanted to see if people in the United States liked their new logo. Which choice best represents a population? Every person in the United States. A selection of logo artists. 3,800 children age 5 - 15

Answers

Answer:

Every person in the US.

Step-by-step explanation:

If a selection of logo artists are asked whether they like or not the new logo, their answer will represent only the opinion of a specific group of artists of the US, and this is not the objective of the beverage company,who wants to know if people from the United States like their logo.If 3,800 children age 5-15 are asked whether they like the logo or not, their opinion will only represent the opinion of some children in the US, whose age is between 5 and 15, and again, this is not the objective of the beverage company,who wants to know if people from the United States like their logo.Finally, the population (which by definition includes all the elements under study, in this case, all the people in the US) will be defined by all people in the US: if the company wants to know if people from the US like their new logo, they must take into account that, the population under study is all people, and not a biased selection of it.

What is the length of the hypotenuse in simplified radical form?(Information needed - long leg is 13, short leg is 5, it is a right triangle)


A. √194
B. 2√97
C. 12
D. 13.93

Answers

Answer:

[tex]\large \boxed{\text{A. $\sqrt{194}$}}[/tex]

Step-by-step explanation:

We can use Pythagoras' Theorem.

[tex]\begin{array}{rcl}a^{2} & = & b^{2} + c^{2}\\& = & 5^{2} + 13^{2}\\& = & 25 + 169\\& = & 194\\a & = & \sqrt{194}\\\end{array}\\\text{The length of the hypotenuse is $\large \boxed{\mathbf{\sqrt{194}}}$}[/tex]

Which two mountain peaks combined are 56,190 feet tall?​

Answers

Answer:

Everest and k2

Step-by-step explanation:

Answer:

its k2 and lhotse

Step-by-step explanation: 28,250 + 27, 940= 56, 190 because 0+ 0 =0

4+5 =9  9+ 2 = 11 carry the 1 8 + 7 +1 = 16 carry the 1 2+2+1 =5 so that equals 56,190 ft

Can you help me please?

Answers

Answer:

C. 3

Step-by-step explanation:

In arithmetic, the range of a set of data is the difference between the largest and smallest values. However, in descriptive statistics, this concept of range has a more complex meaning. The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

2 - (-1) = 3

6 - 3 = 3

etc...

Helene invested a total of $1,000 in two simple-interest bank accounts. One account paid 6% annual
interest; the other paid 7% annual interest. The total amount of interest she earned after one year was
$66. Enter and solve a system of equations to find the amount invested in each account. Enter the interest
rates in order as given in the problem. (Hint: Change the interest rates into decimals first.)
x+y = 1,000
0.06
x+ 0.07
y = 66
Helene invested $
at 6% and $
at 7%.​

Answers

Answer:

Helene invested $ 400 at 6% and $ 600 at 7%.​

Step-by-step explanation:

Let

x -----> the amount invested at 6%

y -----> the amount invested at 7%

we know that

The interest earned with the amount invested at 6% plus the interest earned by the amount invested at 7% must be equal to $66

Remember that

[tex]6\%=6/100=0.06\\7\%=7/100=0.07[/tex]

so

[tex]x+y=1,000[/tex] ----> equation A

[tex]0.06x+0.07y=66[/tex] ----> equation B

Solve the system of equations by graphing

The solution of the system is the intersection point both graphs

using a graphing tool

The solution is the point (400,600)

see the attached figure

therefore

Helene invested $ 400 at 6% and $ 600 at 7%.​

You pay $6 in tax on a $30 purchase. What is the tax percent.

Answers

Answer:

20%

Step-by-step explanation:

What is the equation for the line?

Answers

Answer:

y=-4x+5

Step-by-step explanation:

the line goes down 4 for every 1 that x changes. the line crosses the y axis at 5.

(this might not be accurate, I can't really see if the line is on the exact point or not)

Answer:

[tex]\displaystyle y = -4x + 5[/tex]

Step-by-step explanation:

Starting from the y-intercept of [tex]\displaystyle [0, 5],[/tex]you do [tex]\displaystyle \frac{rise}{run}[/tex]by either moving four blocks north over one block west or four blocks south over one block east [west and south are negatives].

I am joyous to assist you anytime.

Choose the definition for the function.
Please need help badly!!!

Answers

Answer:

b

Step-by-step explanation:

Both graphs end or start at at x = 2

The lower graph has an open circle at 2 meaning that x cannot equal 2

Thus y = x + 1 for x < 2

The upper graph has a solid circle at x = 2 meaning that x can equal 2

Thus y = x + 2 for x ≥ 2

Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land consists of forest, rivers and pastures. How many acres are used for exhibits?

Answers

88.8 acres are used for exhibits

Step-by-step explanation:

Given

Total area of Greenfield = 24 acres

Percentage of lad for exhibits = 37%

Now,

[tex]Acres\ used\ for\ exhibits = 37\%\ of\ 240\\= \frac{37}{100} * 240\\=0.37*240\\=88.8\ acres[/tex]

Hence,

88.8 acres are used for exhibits

Keywords: Percentage, percent

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A nutrition label states that there are 36g of carbonhydrates in each serving. This counts 12% of the daily value. How many grams of carbohydrates are recommended per day?
Can you please show a good explanation like the problem on math on how you did it

Answers

300 grams of carbohydrates are recommended per day.

Step-by-step explanation:

Carbohydrates in each serving = 36g

This counts 12% of daily value.

Let,

x be the total daily value.

According to given statement;

12% of x = 36g

[tex]\frac{12}{100}*x=36\\0.12x=36\\[/tex]

Dividing both sides by 0.12

[tex]\frac{0.12x}{0.12}=\frac{36}{0.12}\\x=300\ g[/tex]

300 grams of carbohydrates are recommended per day.

Keywords: percentage, division

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Final answer:

To find the recommended daily amount of carbohydrates, divide the amount per serving (36g) by the daily value percentage (12%) and multiply by 100. The recommended amount is 300 grams of carbohydrates per day.

Explanation:

If a nutrition label states that there are 36g of carbohydrates in each serving and this amount is 12% of the daily value, we can calculate the recommended daily amount of carbohydrates by setting up a simple equation where 36g represents 12%.

To find the full 100%, we divide 36g by 12% and then multiply by 100%.

The calculation steps are as follows:

Divide the amount of carbohydrates in one serving (36g) by the percentage they represent of the daily value (12%). This gives us the amount of carbohydrates per 1% of the daily value.

Multiply the result from step 1 by 100 to find the amount of carbohydrates representing 100% of the daily value, which is the total daily recommended amount.

Calculation:

36g / 12% = 3g per 1% of daily value

3g per 1% * 100 = 300g

Therefore, the recommended daily amount of carbohydrates is 300 grams

What is the first step in solving -5x-1/6>3/2

Answers

You add 1/6 to both sides

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

Add 1/6 to both sides

A 72,000 gallon water tower is being drained. Two thousand gallons are drained in the first hour. How many hours will it take to drain the water tower?

Answers

Answer:

To drain the water tower it will take 36 hours.

Step-by-step explanation:

Given:

A 72,000 water tower is being drained, and in an hour 2000 gallons are drained.

Now, to calculate the hours it would take to drain total 72,000 gallons of water, we should divide the gallons of water drained in one hour by total gallons of water in the tower.

Gallons of total water in the tower ÷ Gallons of water drained per hour

[tex]72000\div 2000[/tex]

[tex]=\ 36[/tex]

Therefore, to drain the water tower it will take 36 hours.

The formula for force is f = m⋅a, where f is force, m is mass, and a is acceleration. If a force of 30 Newtons acts upon a 6 kg object, calculate the acceleration of the object. Include proper units and use the fact that one kilogram meter per second squared is known in science as one Newton.

Answers

[tex]\Huge{\underline{\underline{\mathttt{Answer \colon}}}}[/tex]

From the Question,

Force exerted on the object,F = 30 N

Mass of the object,m = 6 Kg

To find

Acceleration of the object

Since,

[tex] \huge{ \boxed{ \boxed{\texttt{f = ma}}}}[/tex]

[tex] \leadsto \: \sf{a = \frac{f}{m} } \\ \\ \leadsto \: \sf{a = \frac{30}{6} } \\ \\ \huge{ \green{ \leadsto \: \mathtt{f = 5 \: ms {}^{ - 2} } }}[/tex]

Answer:

5 meters per second

Step-by-step explanation:

its basic math people

Find the solution for 16-x=x+10

Answers

Answer:

x=3

Step-by-step explanation:

16-x=x+10

16-x-x=10

16-2x=10

2x=16-10

2x=6

x=6/2

x=3

There are 6 blades on each windmill. How many total blades are on 7 windmills? Use a five fact to solve

Answers

Answer:

42 Blades

Step-by-step explanation:

So 6 blades on each windmill

6=1 Windmill

so 7 windmills

so do

7 times 6 = 42 Blades

The total number of blades in 7 windmills is required.

42 blades are the total number of blades.

The number of blades in 1 windmill is 6 blades

[tex]1\ \text{windmill}=6\ \text{blades}[/tex]

There are 7 windmills

[tex]7\ \text{windmills}=7\times 6[/tex]

Using five fact

[tex]=(5\times 8)+(2\times 1) =42\ \text{blades}[/tex]

The total number of blades of the windmills are 42.

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A bathtub is filling with water at a rate of 60 liters per minute. How many liters of water are in the bathtub after t minutes? Write your answer as an expression.

Answers

Answer:

There are 60t liters of water in the bathtub after t minutes.

After t minutes, [tex]\( 60t \)[/tex] liters of water fill the bathtub.

The amount of water in the bathtub after t minutes can be expressed as the product of the rate of filling (60 liters per minute) and the time (t minutes):

[tex]\[ \text{Amount of water} = \text{Rate of filling} \times \text{Time} \][/tex]

[tex]\[ \text{Amount of water} = 60 \text{ liters/minute} \times t \text{ minutes} \][/tex]

[tex]\[ \text{Amount of water} = 60t \text{ liters} \][/tex]

So, after [tex]\( t \)[/tex] minutes, there will be [tex]\( 60t \)[/tex] liters of water in the bathtub.

The base of an isosceles triangle is one half as long as each of the congruent sides. The perimeter is 55 in. How long is the base?

Answers

Answer:

The base is 11 inches long

Step-by-step explanation:

we know that

An isosceles triangle has two equal sides and two equal interior angles

Let

y -----> is the length of the base of the isosceles triangle

x ----> is the length of each of the congruent sides

The perimeter of the triangle is equal to

[tex]P=y+x+x[/tex]

[tex]P=y+2x[/tex]

we have

[tex]P=55\ in[/tex]

so

[tex]55=y+2x[/tex] ----> equation A

[tex]y=\frac{x}{2}[/tex] ----> equation B

solve the system by substitution

substitute equation B in equation A

[tex]55=\frac{x}{2}+2x[/tex]

solve for x

[tex]55=\frac{5}{2}x[/tex]

[tex]x=55(2)/5\\x=22\ in[/tex]

Find the value of y

[tex]y=\frac{x}{2}[/tex] ----> [tex]y=\frac{22}{2}=11\ in[/tex]

therefore

The base is 11 inches long

Which is the graph of 3x-4y = 6

Answers

Reformat the equation to be in terms of y.
4y= 3x-6
y=3/4x -6/4
The y intercept when x=0 is -6/4
The x intercept when y=0 is 2
Simply draw the graph using these two points

Note that this is the equation of a line, since you can rewrite it as

[tex]3x-4y=6 \iff 4y=3x-6 \iff y=\dfrac{3}{4}x-\dfrac{3}{2}[/tex]

Now just choose two values for x and compute the correspondent y values:

[tex]x=0 \implies y=-\dfrac{3}{2}[/tex]

So, the line passes through the point (0, -3/2).

[tex]x=2 \implies y=\dfrac{3}{2}-\dfrac{3}{2}=0[/tex]

So, the line passes through the point (2, 0)

Now, draw on a coordinate plane the two points and connect them, and you'll have the line.

Anyone help with linear inequalities?

Answers

Answer:

Yeah I'm here harmony plz tell

Step-by-step explanation:

3. Marissa collected 8 seashells. Her sister Emily
found 7 seashells. The two sisters decided to
put their collection together and give them
all away. Marissa and Emily gave an equal
amount of their seashells to their 5 friends.
How many seashells did each friend receive
Draw more seashells to show how to solve.​

Answers

Answer:

3

Step-by-step explanation:

There are 15 shells all together

there is 5 friends

15 divided by 5 is 3

Therefore  the answer is three

Answer:

Each friend got 3 sea shells

Step-by-step explanation:

8+7=15 then they divided it up equaly to their 5 friends so 15/5=3 so each friend got 3 sea shells

Delaney would like to make a 10 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
a) What is the system that models this situation?
b) Which of the following is a solution to the system: 4 lb peanuts and 6 lb mixture; 5 lb peanut and 5 lb mixture; 8 lb peanut and 2 lb mixture? Show your work.

Answers

Answer:

{a}p + 0.2m = 6

   0.8m = 4

or 5p + m = 30

   m = 5

{b} 5 lb peanuts and 5 lb mixture

Step-by-step explanation:

m1 → desired mixture with composition : 60% peanuts and 40% almonds and weight : 10 lb

⇒weight of peanuts in m1 = 60% × 5 = 6 lb

and weight of almonds in m1 is 4 lb

m2 → mixture with composition : 20% peanuts and 80% almonds and weight : m pounds

⇒weight of peanuts in m2 = 0.2m

and weight of almonds in m2 = 0.8m

p → weight (in pounds) of peanuts added to m2 to make m1

{a}

add p pounds of peanuts to m2 to make m1

equating weights of peanuts and almonds:

p + 0.2m = 6

0.8m = 4

{b}

equation gives m = [tex]\frac{4}{0.8}[/tex] ⇒ m = 5 lb

Using this in the [tex]1^{st}[/tex] equation:

p + 1 = 6 ⇒ p = 5 lb

Answer:

a) p + m = 10 and [tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex]

b) The mixing amount is 5 lb peanut and 5 lb mixture.

Step-by-step explanation:

Given that p pounds of peanuts and m pounds of the 80% almond and 20% peanut mixture are used to make 10 pounds of 60% peanuts and 40% of almonds mixture.

Now, we can write that p + m = 10 ........ (1)  

Now, m pounds of 80% almond and 20% peanut mixture contain 0.2m pounds of peanuts and 0.8m pounds of almonds.

Now, from the condition given it can be written that  

[tex]\frac{p + 0.2m}{0.8m} = \frac{60}{40}[/tex] .......... (2)

⇒ [tex]\frac{p + 0.2m}{0.8m} = \frac{3}{2}[/tex]

⇒ 2p + 0.4m = 2.4m

⇒ 2p = 2m

p = m  

Now from equation (1) we get p = m = 5 pounds.

a) Therefore, equations (1) and (2) are the system of equations that models the situation.

b) The mixing amount is 5 lb peanut and 5 lb mixture. (Answer)

Other Questions
2. What caused the conflict between Russia and Austria-Hungary?a. Control over French Provincesb. Control over Moroccoc. Control over Serbiansd. They had no conflict Can someone answer this question correctly it's my test please don't answer if you don't understand please show work I need it today thank you Please help I need this paper finished by tonight please help Before Daniel performed his experiment, he hypothesized, "If I raise the temperature of a cup of water, then it will be able to dissolve more sugar."Which of the following results would support the hypothesis? A. The cup with the warmest water dissolved the largest amount of sugar. B. The cup with the coolest water dissolved the largest amount of sugar. C. None of these statements support the hypothesis. D. The cup with the warmest water dissolved the least amount of sugar. 10. The length of a side of a square is represented by (24 3x) feet. What is thelength of the side of the square when r = 6? Which kind of wave would be observed in outer space between planets, where there is very little matter?O an electromagnetic wave, such as an X-rayO an electromagnetic wave, such as a sound wavea mechanical wave, such as an X-rayO a mechanical wave, such as a sound wave Select the statement that is most correct. Select one: a. The cell bodies of afferent ganglia are located in the spinal cord. b. Ganglia associated with afferent nerve fibers contain cell bodies of sensory neurons. c. Ganglia are collections of neuron cell bodies in the spinal cord that are associated with efferent fibers. d. The dorsal root ganglion is a motor-only structure. Women's swinsuit are 75% off at the end of the summer seson how much will a customer save by buying an $80 swimsuit while it is on sale.Explain why... On January 1, 2014, Huber Co. sold 12% bonds with a face value of $1,000,000. The bonds mature in five years, and interest is paid semiannually on June 30 and December 31. The bonds were sold for $1,077,250 to yield 10%. Using the effective-interest method of amortization, interest expense for 2014 is ____. Plane a flies at a constant speed from new york to los angeles along a route which is 2000 miles. Plane b flies in the opposite direction at a constant speed which is 100 mph faster than plane a. Plane b takes off one hour after plane a. They land at the same moment. How far are they from los angeles when they pass? According to the Nutrition Facts panel on a can of tuna, one serving of the fish supplies 16 g of protein. The DV for protein is 50g. Estimate the %DV for protein in a serving of the tuna. which of the following is possible function for y? please help me 22 points How many spaces should there be between the title and the first paragraph in MLA format? A certain car model has a mean gas mileage of 29 miles per gallon (mpg) with standard deviation of 3mpg . A delivery company buys 49 of these cars. What is the probability that the average mileage of the fleet is greater than 28.8 mpg? Neologisms and disorganized speech (where words and word combinations sound communicative, but the listener is left with little or no understanding of the point the speaker is trying to make) are a part of what clinicians call: The profit function p(x) of a tour operator is modeled by p(x) = 2x^2 + 700x 10000, where x is the average number of tours he arranges per day. What is the range of the average number of tours he must arrange per day to earn a monthly profit of at least $50,000? Stephanie's building, which was used in her business, was destroyed in a fire. Stephanie's adjusted basis in the building was $175,000, and its FMV was $210,000. Stephanie filed an insurance claim and was reimbursed $200,000. In that same year, Stephanie invested $180,000 of the insurance proceeds in another business building. Assuming the proper election is made to defer gain, Stephanie's basis in the new building will be If the number of lawyers graduating from law school increases, what might happen?Lawyers fees would probably increase.Law offices will hire fewer lawyers.Law offices will hire more lawyers.Lawyers fees would probably decrease. At 3:00 a.m., the temperature outside is -10F. Between 3:00 a.m. and 6:00 a.m., the temperature drops by 12F. Between 6:00 a.m. and 9:00 a.m., the temperature rises by 8 degrees. Between 9:00 a.m. and noon, the temperature rises by 20F.What is the temperature at noon? On October 1, 2022, Sunland Company places a new asset into service. The cost of the asset is $124000 with an estimated 5-year life and $22000 salvage value at the end of its useful life. What is the depreciation expense for 2022 if Sunland Company uses the straight-line method of depreciation