a company sold yogurt in 120 g pots and one-eight of the content of the pots was chopped fruit, it is then decided to make the pots of yogurt 2/3 of their original weight with 1/5 fruit. will the company use more or less fruit per new design?

We can rearrange it to the standard form perimeter a = s - b - C/2

In arithmetic, what is a perimeter?

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

The answer to your question is a = s - b - C/2

To solve for "a", we must get "a" on it's own side of the equal sign. We can first subtract "s" from both sides:

0 = a + b + C/2 - s

Then, we can subtract a from both sides:

-a = b + C/2 - s

Finally, we divide both sides by -1, so a is by itself.

a = -b - C/2 + s

And we can rearrange it to the standard form:

a = s - b - C/2

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The value of p that makes the equation true is 4

p-9= -5(p-3)

p-9 = -5p + 15

collect the like terms

p + 5p= 15 + 9

6p= 24

Divide both sides by the coefficient of p which is 6

6p/6= 24/6

p= 4

Hence the value of p that makes the equation true is 4

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Answer:

x = 6

Step-by-step explanation:

5 - 4x = -19

-5          -5

-4x = -24

divide both sides by -4

x = 6

to check your work- plug in 6 for x.

Hope this helps!

Also- I am not entirely sure what inverse operations is in terms of algebra but I hope what I did is right!

Answer:

It should be negative quantity 25 times x raised to the tenth power end quantity over y raised to the sixth power

Step-by-step explanation:

The other options have operations that don't match with the answer so it can't be them

Answer:

[tex]12 \frac{1}{4} [/tex]

Step-by-step explanation:

Put the whole numbers into the fraction

[tex] \frac{7}{2} [/tex]

Multiply 7/2 by 7/2

[tex]\frac{49}{4}[/tex]

You can simplify by making whole numbers with the fraction.

[tex]12 \frac{1}{4} [/tex]

By changing units from calories per minute to watts, we conclude that your power output is 1.11 Watts.

Power is the ratio between energy consumed and the time in which it was consumed.

Here we know that you consume 111 calories per mile, and you run a mile in 7 minutes, then your power is:

P = (111 cal)/(7 min) = 15.86 cal/min

Now, we know that:

1 watt = 14.33 cal/min

Then we can rewrite our power as:

P = 15.86 cal/min = (15.86/14.33) W = 1.11 W

Your power output is 1.11 watts.

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Answer:1/4 of robot

Step-by-step explanation:

Answer:

End behavior of the polynomials f(x) = 2x² + 3x + x² - 1 and  f(x) = 1 - 3x + x² is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

A) We are given the polynomial; f(x) = 2x² + 3x + x² - 1

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

B) We are given the polynomial; f(x) = 1 - 3x + x²

This is a second degree polynomial with a positive leading coefficient. Thus, the end behavior is; As x gets larger and larger in the positive direction, f(x) gets more positive. As x gets larger and larger in the negative direction, f(x) gets more positive.

C)  We are given the polynomial; f(x) = 9 + x¹

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

D)  f(x) = 2x + 5

This is a first degree polynomial with a positive leading coefficient. Thus, the end behavior is;  As x gets larger and larger in either the positive or negative direction, f(x) gets larger and larger in the negative direction.

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The two equations that represent the remaining angle relationships are

x = 2(y + z) - 20 and x = 3z - 20

From the question, we are to determine the two equations that represent the remaining angle relationships

From the given information, we have that

x is the largest angle, y is the next largest angle and z is the smallest angle

Also, from the information,

"The measure of the largest angle is 20 degrees less than twice the sum of the measure of the other two angles"

That is,

x = 2(y + z) - 20

and

"The largest angle is 3 times the smaller angle minus 20 degrees"

x = 3z - 20

Hence, the two equations that represent the remaining angle relationships are x = 2(y + z) - 20 and x = 3z - 20

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Answer:

Step-by-step explanation:

The value of the unknown number b is 1/4.

Substitution is putting a specific value in a given variable.

According to the given question Six more than the product of a number and 4 is equal to 7 and we have to use b for the unknown number.

7 is 6 more than the product of 4 and b which can be numerically expressed as

7 = 6 + 4b...(i)

7 - 6 = 4b.

1 = 4b.

b = 1/4.

To check if it is correct or not we will substitute the numerical value of b.

in eqn (i).

7 = 6 + 4b

7 = 6 + 4×1/4

7 = 6 + 1

7 = 7.

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The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

A monetary profit, particularly the distinction between the amount gained and the actual cost of purchasing, running, or creating anything.

The profit is given as,

Profit = Selling price - Cost price

Sales volume for an auto manufacturer may be calculated as 7.8x² + 3.2x + 3.5 and costs as 3.4x² - 0.8x + 3.5.

The net profit by subtracting cost from sales will be

Net profit = (7.8x² + 3.2x + 3.5) - (3.4x² - 0.8x + 3.5)

Net profit = 7.8x² + 3.2x + 3.5 - 3.4x² + 0.8x - 3.5

Net profit = 4.4x² + 4x

The polynomial which models the company's sales in thousands of dollars will be 4.4x² + 4x.

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The total sales done by Madelyn Logan is $975,000.

Madelyn Logan earns $58,000 in total.

Madelyn Logan's total commissions are;

$58,000 - $19,000 (base salary) = $39,000.

That is, $39,000 equals 4% of her sales.

So,

0.04x = $39,000, in which x would be the total sales amount.

Then, x = $39,000 /0.04

x = $975,000.

Therefore, Madelyn Logan must sell the goods of worth $975,000. for making the amount of $58,000.

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[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

In the above question, it is given that :

[tex]\qquad \sf  \boxed{ \sf f(x) = \frac{x + 3}{2} }[/tex]

A.) Find f(2) :

[tex]\qquad \sf  \dashrightarrow \: f(2) = \dfrac{2 + 3}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: f(2) = \dfrac{5}{2} [/tex]

or

[tex]\qquad \sf  \dashrightarrow \: f(2) = 0.5[/tex]

B.) Find [tex]{ \sf {f}^{-1}(x) } [/tex] :

[tex]\qquad \sf  \dashrightarrow \: let \: y = f (x) [/tex]

so, we can write it as :

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{x + 3}{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2y = x + 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 2y - 3[/tex]

Now, put x = [tex]{ \sf {f}^{-1}(x) } [/tex], and y = x and we will get our required inverse function ~

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(x) = 2x- 3[/tex]

C.) Find [tex]{ \sf {f}^{-1}(12) } [/tex] :

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 2(12)- 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 36- 3[/tex]

[tex]\qquad \sf  \dashrightarrow \: f {}^{ - 1}(12) = 33[/tex]

The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.

It follows from the task content that the possible number of hours for which the chemistry club could rent the meeting room is to be determined.

Since the linear inequality which represents the situation in discuss can be written as follows;

4(t) +19 <= 59

where t = number of hours.

Solving the inequality, we have;

4t <= 59 - 19

4t <= 40

t <= 10 hours.

Ultimately, The set of numbers which represents the possible number of hours for which the chemistry club could rent the meeting room is; t <= 10 hours.

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Answer:

21 because if you can add like terms

The solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t

The equation is given as

P = A/(1 + rt)

Multiply both sides of the equation by (1 + rt)

So, we have

P(1 + rt) - A

Divide both sides by P

So, we have

1 + rt = A/P

Subtract 1 from both sides

rt = A/P - 1

Divide by t

r = (A/P - 1)/t

Hence, the solution of the equation P = A/(1 + rt) for r is r = (A/P - 1)/t

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Answer:

Together they painted 120 figurines.

Step-by-step explanation:

8(6+9)=

8(6) + 8(9) =

48 + 72

120

Using proportions, it is found that their total monthly payment is of $2,887.37.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, the payments are given as follows:

Hence:

2165.62 + 0.0833 x 6478.5 + 0.0833 x 2186 = $2,887.37

Their total monthly payment is of $2,887.37.

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Answer:

can you add a picture of the triangle

Step-by-step explanation:

Answer:

x-4303

Step-by-step explanation:

Answer:

1/30

Step-by-step explanation:

5/6 - 4/5

= 25/30 - 24/30

= 1/30

[tex]~\frak{Tsyaa01:)}[/tex]

In the graph, [tex]f(x)[/tex] is increasing in the interval (-7, -5).

What is a graph in mathematics?

A graph is a graphic that uses a line or a sequence of bars, dots, or other symbols to depict a connection between two variables, most typically sets of numbers. Whatever else is in your graph, you can't construct it without scales. A vertical scale and a horizontal scale are used in bar graphs.

From the given graph, it can be concluded that

[tex]f(x)[/tex] is increasing in the interval (-7, -5)

[tex]f(x)[/tex] is decreasing in the interval (2, 10)

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The graph of the cost function is

Cost function refers to the functional relationship between cost and output. It studies the behavior of cost at different levels of output when technology is assumed to be constant.

Given: There are two companies Cronus and Zeus. Cronus charges a flat rate of $8 per GB of data. Zeus charges $3 per GB of data in addition to a monthly $10 fee that everyone pays. You expect to use between 0 GB and 8 GB of data each month.

Let y be the cost for data consumed.

Let x be Gb of data consumed.

Cost function of Cronus is y = 8x

Cost function of Zeus is y = 10+3x

Graph of both the companies is

where green line denotes the graph for Cronus and red line denotes the graph for Zeus.

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Answer:

30

Step-by-step explanation:

We can use similar triangles. Letting the height of the tree be x,

[tex]\frac{x}{15}=\frac{6}{3} \\ \\ x=30[/tex]

In the graph the Inefficient point of production is represented by the point A  , option(a)Point A is correct .

The graph given in the question is for Skateboards vs Bikers.

we need to find the point which represents the Inefficient point of Production.

The points in the Production Possibility Curve are said to be inefficient when the resources are not utilized to the fullest.

The given Production possibility curve between the Skateboards and the Bikers have Point A as the Inefficient Point .

Therefore , the point A represents the Inefficient point of production in the given Production possibility curve , the correct option is (a)Point A.

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