Suppose Jonathan eats 6 packages of pemmican. He also eats some biscuits. Create an equation that models the total number of calories Jonathan consumes, y, based on the number of biscuits he eats, x, and the 6 packages of pemmican.​

Answer:

  [tex]\dfrac{xy}{pm}=8[/tex]

Step-by-step explanation:

If x varies directly as the product of p and m, and inversely with y, the relation can be written ...

  x = k(pm)/y . . . . where k is the constant of proportionality

__

This can be solved for k:

  k = xy/pm

For the given values, the value of k is ...

  k = (2)(4)/((0.5)(2)) = 8

Then the relation between the variables can be written ...

  (xy)/(pm) = 8

Answer:

B

Step-by-step explanation:

What do you mean by answer? you cannot solve for a numerical value without setting it equal to anything.

the only thing you can do is factor out a 2

2(-x +2)

The space that will be on either side if its placed on the pedestal of the cylinder that is 18 inches across will be 4.47 inches.

It should be noted that the volume of a cylinder is given as:

= πr²h

We'll then slot the values given into the formula. This will be:

Volume = πr²h

1130.97 = (3.14 × r² × 18)

1130.97 = 56.52r²

r² = 1130.97/56.52

r² = 20

r = ✓20

r = 4.47

In conclusion, the space will be 4.47 inches.

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Answer

first term put n=1 that is equal to 3

Answer: $0.15/Yr

Step-by-step explanation:

Difference in year 2010- 1975= 35

Range = 7.25 - 2 = 5.25

Per year = 5.25/ 35

40/6 = 6.666... in each container

hope it helps...!!!

Answer:

[tex]6\frac{2}{3}\text{ pounds}[/tex]

Step-by-step explanation:

The baker must have equal amounts in all countainers. Therefore we need to use division to solve this question.

Therefore we get:

[tex]\frac{40}{6}[/tex]

Simplify the fraction:

[tex]\frac{20}{3}[/tex]

Write it as a mixed fraction:

[tex]6\frac{2}{3}[/tex]

6 2/3 pounds will be in each container.

Answer:

In 2011, Americans used 1.86x10" kilowatt-hours to light their home kilowatt-hours to run their computers and computer equipment. Circle the number that correctly completes the statement

Step-by-step explanation:

hope this helped

Answer:

where is the puzzle??

Step-by-step explanation:

Answer:

the purple trapezoid = 15

the moon = 15 -4 = 11

Step-by-step explanation:

The two sides are equal so 30÷2=15

the two diamonds are worth 2 each 2×2=4

the purple trapezoid = 15

the moon = 15 -4 = 11

Answer:

[tex]\sf \dfrac{1}{7}[/tex]

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}[/tex]

The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.

In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:

On the horizontal plane:

x = rcosθ

On the vertical plane:

y = rsinθ

Where:

In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.

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Answer:

x = 1

Step-by-step explanation:

Answer:

tan C = 5/√39

Step-by-step explanation:

tan C = opp/adj

For angle C, the opposite leg is AB, 5.

The adjacent leg is BC, √39.

tan C = 5/√39

Answer:

s part a i don't know what the question is asking, I think n n n the are the same equation

a part b is 9

p

Step-by-step explanation:

I know that 5*9 equals 45 so basically it turns into

5(9)=45

45+2=47

dsan168

Answer:

ordered the numbers below from least to greatest

Ascending Order: -√100 , 9 4/11 , 9.46 , 9.5

hope that helped...

From the calculations, Gerald will now have to pay the sum of $145.50 towards his monthly health insurance.

Note that the first sum being contributed by Gerald is (100%- 65%) of $345. This is 35% of $345 = $120.75

If his employer takes up 50% of $38, this leaves his contribution for dental as 50% of $38 = $19

Also if his employer takes up 75% of $23, his contribtuion for vision premium is 25% of 23 = $5.75

Hence his total contribution is now:
120.75 + 19.00 + 5.75 = $145.50

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Answer:

Sector A sector C sector D correct answers

Answer: A, C, D

Step-by-step explanation:

The reason for this is because you plug it in as a fraction to simplify.

Example: 9π/3 simplify to 3π/1 because both divide by 3

The total closing cost is 3. 5% of the amount of the mortgage. So, the total amount would be $10500.

An initial payment made when something is bought on credit to make the down payment.

First National Savings & Loan is willing to lend them money at 6. 5% for 25 years, provided the MacAllister's can make a $79,900 down payment.

$379,900 - $79,900 =$300,000

because down payments are never included with the total mortgage loan.

The total closing cost is 3. 5% of the amount of the mortgage.

3.5 percent for closing costs

= [tex]3.5/100 \times 300000\\\\3.5 \times 3000\\\\10500[/tex]

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Answer:

Step-by-step explanation:

(f+g)(4) = f(4) + g(4)

           = 2(4) - 9 + 4² + 3

           = 8 - 9 + 16 + 3

           = -1 + 16 + 3

           = 15 + 3

           = 18

Answer: i think you need a math tutor

Answer:

24

Step-by-step explanation:

Plato

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

Answer:

The radius is 32

Step-by-step explanation:

V= πr2h

So,

3.14(18)(x)=1808.64

56.52x=1808.64

= 32.

The completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

The expression is given as:

f(x) = 6x³ - 13x² - 4x + 15

Expand the expression

f(x) = 6x³ - 19x² + 6x² + 15x - 19x + 15

Rewrite as:

f(x) = 6x³ + 6x² + 15x- 19x²   - 19x + 15

Factorize the equation

f(x) = (x + 1)(6x²- 19x + 15)

Expand (6x² - 19x + 15)

f(x) = (x + 1)(6x² - 10x - 9x + 15)

Factorize the expression

f(x) = (x + 1)(2x - 3)(3x - 5)

Hence, the completely factored form of f(x) = 6x³ - 13x² - 4x + 15 is f(x) = (x + 1)(2x - 3)(3x - 5)

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Answer: D

Step-by-step explanation:

Answer:

I got 142

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

u =  x + 1

u - 1 = x

[tex]\int\limits {\dfrac{x}{\sqrt{x+1}}} \, dx = \int\limits {\dfrac{u-1}{\sqrt{u}}} \, du \\\\[/tex]

                   [tex]=\int {\left(\dfrac{u}{u^{\frac{1}{2}}}-\dfrac{1}{u^{\frac{1}{2}}} \right )\, du \\\\ = \int {u^{1-\frac{1}{2}}-1*u^{\frac{-1}{2}}} \, du\\\\ =\int {(u^{\frac{1}{2}}-u^{\frac{-1}{2}})} \, du[/tex]

Answer:

y = 5/6x+ 3

Step-by-step explanation:

Given

Solving

Answer:

D

Step-by-step explanation:

If you look at the right side of each piecewise function, you will see the x-values. That is what we will be focusing on in this explanation. All four equations have x > 4, and we know that to be true. If you look at the equation on the graph going South West, you will see that the endpoint is at x=1. Only 1 equation, D, has this in the piecewise function. To confirm it is D, you can see that 1<x<4 is also in the piecewise function, and all the values line up with their corresponding y-values.

Hope this helps! :)

Answer:

start by thinking step by step

Step-by-step explanation:

Answer:

Around 120,000 bacteria.

Multiply the amount of estimated bacteria by the amount of square millimeters.

[tex]10,000 * 12 = 120,000[/tex]