A company offers a nut mixture with 4 peanuts for every 3 almonds. The company changes the mixture to have 8 peanuts for every 3 almonds, but the number of nuts per container does not change. How many nuts are in the smallest possible container?

Answer:

We conclude that:

Step-by-step explanation:

Given that

Thus, the equation becomes

[tex]14n + 17(6-n) = 99[/tex]

[tex]14n + 102 - 17n = 99[/tex]

[tex]-3n = 99 - 102[/tex]

[tex]-3n = -3[/tex]

Divide both sides by -3

[tex]n = 1[/tex]

and

[tex]6-n = 6-1 = 5[/tex]

Therefore, we conclude that:

Answer:

(f - g)(x) = 4x - 4

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x

g(x) = -x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

The domain of the circle is [-4, 10]

The circle equation is given as:

(x - 3)^2 + (y + 1)^2 = 49

Express 49 as 7^2

So, we have

(x - 3)^2 + (y + 1)^2 = 7^2

The general circle equation is

(x - a)^2 + (y - b)^2 = r^2

Where the domain is

Domain = [a ± r]

So, we have

Domain = [3 ± 7]

Evaluate

Domain = [3 - 7, 3 + 7]

This gives

Domain = [-4, 10]

Hence, the domain of the circle is [-4, 10]

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Answer:

m=2j+10

m+j=52

Step-by-step explanation:

m = maria

j = juan

Answer:

10.5%

Step-by-step explanation:

2/19=.1052... = 10.52% round to 10.5%

Answer:

10.5%

Step-by-step explanation:

2/19=10.52=10.5

Considering the definition of an equation and the way to solve it, the original price was $180.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear in addition to certain known data.

The solution of a equation means determining the value in which the equality must be true. To solve an equation, keep in mind:

Being "x" the original price, and knowing that:

The original price  can be calculated through the equation:

x - 0.35x= 117

Solving:

(1 - 0.35)x= 117

0.65x= 117

x= 117 ÷ 0.65

x= 180

Finally, the original price was $180.

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Base is 2 times A over height= [tex](base)=\frac{2Area}{height}[/tex].

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure.

Area of a triangle is given by the formula;

                               [tex]A=\frac{1}{2} base * height[/tex]

Now, we need to solve for b. We multiply the right side, cross multiply,  and follow rules of algebra to isolate b. Shown below:

                         [tex]A=\frac{1}{2} base*height\\A=\frac{bh}{2} \\2A=bh\\b(base)=\frac{2A}{h}[/tex]

Thus, Base is 2 times A over height= [tex](base)=\frac{2Area}{height}[/tex].

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Answer:

The answer is B

Step-by-step explanation:

The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

Here, we have,

given that,

the expression is:  x (9x-3)​

now we need to find the value of x (9x-3)​

we have,

x (9x-3)​

=> x × (9x-3)​

so, we have to multiply this two terms.

now, we get,

=> x × (9x) - x × 3

=> 9x² - 3x

Hence, The result of the multiplication is the value of x (9x-3)​ is:  9x² - 3x.

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Answer:

1c

2b

Step-by-step explanation:  i think im not absolutly

shure

Answer:

150 has to be times 40

Step-by-step explanation:

150×40+25÷35=1

Answer:

I think its C

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

We need to write 35% as a fraction, percent, and a decimal.

35% as a fraction:

All we need is to divide 35 by 100 as 35 is basically the 35th part of 100 parts.

Thus, 35% as a fraction would be: 35/100

35% as a decimal:

All we need is to divide 35 by 100 and calculate the result such as:

35/100 = 0.35

Thus, 35% as a decimal would be:  0.35

35% as a percent:

35% is already mentioned as a percent.  

Thus, 35% as a percent would be:  35%

Answer:

a. [tex]= 17.2k - 1.5[/tex]

b.[tex]=-7 + 203g[/tex]

Step-by-step explanation:

Required

Simplify

[tex]1.\ (8.2k - 6) - (4.5 - 9k)[/tex]

Open bracket

[tex]= 8.2k - 6 - 4.5 + 9k[/tex]

Collect Like Terms

[tex]= 8.2k + 9k - 6 - 4.5[/tex]

[tex]= 17.2k - 1.5[/tex]

[tex]2.\ (-3 + 2g) - (4 + 5g)[/tex]

Open bracket

[tex]= -3 + 2g - 4 - 5g[/tex]

Collect Like Terms

[tex]=-3-4+2g - 5g[/tex]

[tex]=-7 + 203g[/tex]

Answer:

A

Step-by-step explanation:

9514 1404 393

Answer:

  All positive integers

Step-by-step explanation:

The domain of the variable in the cost function is the set of values it might reasonably assume. Since we count movies using integers starting at 1, the reasonable domain is ...

  All positive integers

__

Additional comment

We know there is an upper limit. That limit is the number of movies offered such that the summer pass price is valid. We suspect it will be less than two or three hundred. For the purpose here, the reasonable choice is "positive integers."

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

Answer:

2 eggs

Step-by-step explanation:

The answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The time will be calculated as follows:-

4 windows ------->   5 hours

1 window   --------> 5 / 4 hours

7 window  --------> 7 x ( 5 / 4 )

7 window  --------> 8.75 ≅ 8 hours 45 minutes

Therefore the answer is option D it will take 8 hours 45 minutes to manufacture 7 windows.

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Answer:

who's Whitney? And im gonna say 47

Step-by-step explanation:

Answer: I think 43 If it is whitner bulger you actually talking about.

Step-by-step explanation:

Answer:

y= 10x - 46

Step-by-step explanation:

slope intercept form model: y=mx+b

Answer:

i. The distance between the balloon and canoe is 16.8 meters.

ii. The situation can be represented by: -12 + d = 4.8

Step-by-step explanation:

Let the surface of the lake be zero. Then any position above it is taken to be positive, while any position below is taken as negative.

So that,

the balloon's vertical position = 12 meters

the sunken canoe's position = -4.8 meters

Given that the distance between the balloon and the canoes is d, then:

d = balloon's position - canoe's position

  = 12 - (-4.8)

  = 12 + 4.8

d  = 16.8

The distance between the balloon and canoe is 16.8 meters.

Thus,

d = 12 -(-4.8)

d = 12 + 4.8

-12 + d = 4.8

The situation can be represented by: -12 + d = 4.8

obviously yes..........

Answer:

(4,5)

Step-by-step explanation:

n+1>4

subtract 1 from both sides

n>3

that means n is greater than 3 so 3 is not a solution but everything higher than 3 is true.

Answer:

2 3/4

Step-by-step explanation:

this is the answer

Answer:

yesss

Step-by-step explanation:

Answer:

whats the question for this?

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

-63/-9

7

Problem 11

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

Work Shown:

The surface area of a 3D sphere is 4pi*r^2. So a hemisphere has surface area 2pi*r^2 since we cut the surface area in half.

Plug in r = 6 (half of the diameter 12) and we get 2pi*r^2 = 2pi*6^2 = 72pi

Now consider the circle with radius r = 6. Its area is pi*r^2 = pi*6^2 = 36pi

Add the two areas and we get 72pi+36pi = 108pi

Lastly, use your calculator to get 108pi = 108*3.1415926535898 = 339.292006587699 which rounds to 339

======================================

Problem 12

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

Explanation:

Look at where the "0" in the bottom sliding portion lines up with the number scale above. That "0" is between 19 and 20 mm. So you could argue that 19.2 and 19.5 are both valid answers, but I think 19.5 is the better answer since the tickmark seems to be right in the middle (more or less).

Step-by-step explanation:

surface area of hemisphere =3πr²

=3*3.14(6)²

=339.12m²

diameter of pipe= 19.5mm