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An equation is formed when two equal expressions. The company is planning to produce 25 mountain bikes and 15 trail bikes.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of mountain bikes produced by the company be x, while the number of trail bikes produced by the company is y.

The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $40. Also, the budget of the company is $1,600. Therefore,

1600 = 40x + 40y

x + y = 40

y = 40-x

The cost of labour to manufacture a mountain bike is $90, and the cost of labour to manufacture a trail bike is $30. Also, the budget for labour is $2,700.

2700 = 90x + 30y

2700 = 90x + 30(40-x)

2700 = 90x + 1200 - 30x

1500 = 60x

x = 25

Substitute the value of x,

y = 40 - x

y = 15

Hence, the company is planning to produce 25 mountain bikes and 15 trail bikes.

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Following the prescription, You will need to administer a 0.7 tablespoon per dose.

We can determine the number of tablespoons that are administered by using equivalent expressions.

From the standard conversion rate, we know that:

Using equivalent expressions:

7.5 mg/1.01442 tbsp = 5 mg/x tbsp

x = (1.01442 × 5)/7.5 tbsp

x = 0.67 tbsp

x = 0.7 tbsp per dose.

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Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

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Answer:

(-5, -3)

Step-by-step explanation:

Isolate x:

x - 3y = 4

x = 3y + 4

Substitute to get y:

-3x + 2y = 9

-3(3y + 4) + 2y = 9

-9y - 12 + 2y = 9

-7y = 21

y = -3

Substitute to get x:

x = 3y + 4

= 3(-3) + 4

-9 + 4

= -5

Answer:

[tex]f^{-1}(x)=\left(\dfrac{x-7}{3}\right)^2[/tex]

Step-by-step explanation:

Given function:

[tex]f(x)=3\sqrt{x}+7[/tex]

To find the inverse of the function

Swap f(x) for y:

[tex]\implies y=3 \sqrt{x}+7[/tex]

Subtract 7 from both sides:

[tex]\implies y-7=3 \sqrt{x}+7-7[/tex]

[tex]\implies y-7=3\sqrt{x}[/tex]

Divide both sides by 3:

[tex]\implies \dfrac{3\sqrt{x}}{3}=\dfrac{y-7}{3}[/tex]

[tex]\implies \sqrt{x}=\dfrac{y-7}{3}[/tex]

Square both sides:

[tex]\implies \left(\sqrt{x}\right)^2=\left(\dfrac{y-7}{3}\right)^2[/tex]

[tex]\implies x=\left(\dfrac{y-7}{3}\right)^2[/tex]

Swap the x for [tex]f^{-1}(x)[/tex] and y for x:

[tex]\implies f^{-1}(x)=\left(\dfrac{x-7}{3}\right)^2[/tex]

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the amount of 45% copper and y represent the amount of 66% copper needed to make 42 pounds of a third alloy containing 66% copper. Hence:

x + y = 42   (1)

Also:

0.45x + 0.69y = 42(0.66)   (2)

This gives:

x = 5.25, y = 36.75

5.25 pounds of one alloy containing 45% copper and 36.75 pounds of 69% copper is used to make 42 pounds of 66% copper

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Answer: {-1, 3, 15}

Step-by-step explanation:

[tex]f(1)=-1\\\\f(3)=3\\\\f(5)=15[/tex]

So, the range is {-1, 3, 15}.

Answer:

[tex]\frac{(x-2)(x+4)}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{(x+4)^2}{x+2} :\frac{(x+2)(x+4)}{(x+2)(x-2)} =\frac{(x+4)^2(x+2)(x-2)}{(x+2)(x+2)(x+4)}=\frac{(x-2)(x+4)}{x+2} .[/tex]

The slope of the line is 4.5

The points are given as:

(2,9) and (4, 18)

The slope (m) is calculated using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (18 - 9)/(4 -2)

Evaluate

m = 4.5

Hence, the slope of the line is 4.5

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The AA postulate can be used to verify that the two triangles shown below are a similar option (C) is correct.

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We can utilize the AA postulate since we know two of each triangle's three angles.

In every triangle, they are the same. We may also determine each triangle's third angle.

They are comparable because both triangles have the same angles.

Thus, the AA postulate can be used to verify that the two triangles shown below are similar.

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Answer:1333.3 Contiuous

Step-by-step explanation:

 .

4000/3,=1333.3x1,=1333.3

 I'm not sure

Answer:

B) y = 4/5x - 2

Answer:

B

Step-by-step explanation:

First, we can find the slope of the graph.

The distance of x between the two points is 5, and the distance of y between the two points is 4.

The slope formula is (Increase in y)/(increase in x)

So the slope will be 4/5.

The y-intercept is (0,-2), so the number at the very end of the equation will be -2.

With all this in mind, we can be sure that our answer is B: y=4/5x-2

Mark Achin's economic order quantity in units is D. 120​ units.

The economic order quantity (EOQ) is the optimal order quantity that minimizes the total costs (ordering, receiving, and holding inventory).

The formula for the economic order quantity is the square root of [2(setup costs)(demand rate)] / holding costs.

Annual demand = 3,600

Cost price per unit = $200

Ordering cost = $40

Holding cost per unit = $20

Working days per year = 360

Lead time = 5 days

Economic order quantity (EOQ) = square root of: [2(setup costs)(demand rate)] / holding costs.

= square root of (2 x $40 x 3,600)/$20

= 120

Thus, Mark Achin's economic order quantity in units is D. 120​ units.

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Answer:3x+4=28

Step-by-step explanation:

the second one would equal 3x=32

And the third one would equal 3x+12=28 which isn’t right either

Answer:

A. arc

Step-by-step explanation:

The circumference is the entire boundary of a circle.

A portion of the circumference is called an arc.

Answer:

xxfdjdjwkoq9w Woow Kike sosl

Answer:

x could be anything but might be 3<4 or 5?8 u really never kno

There are 138 female patients in the hospital.

The solution to the word problem involving ratios in the given problem can be determined as follows.

From the given information:

The total number of people in the hospital = male + female

= 184 + x(unknown)

The ratio of males in the hospital is:

[tex]\mathbf{184= \dfrac{4}{7} \times x }[/tex]

[tex]\mathbf{184\times 7= 4 x }[/tex]

x = 322

The number of female patients in the hospital can now be computed as:

[tex]\mathbf{=\dfrac{3}{7}\times 322}[/tex]

= 138 female patients

Check:

The total number of people in the hospital is:

= 184 + 138

= 322 patients

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Answer:

38 pills

Step-by-step explanation:

To find the number of pills, you need to divide the weight of each pill by the total weight needed.

0.76 grams / 0.02 grams = 38 pills

Answer:

976cm squared

Step-by-step explanation:

that's all I could do .hope it helps. in case of any questions please ask.

Answer:

second transformation

The coordinates of X in the pre-image of the figure is (3.2, 0.6) if the  transformation rule is T_(-5.2, 1.4)(x, y)

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we can see in the figure.

The transformation rule is T_(-5.2, 1.4)(x, y)

X'(-2, 2)

Before the transformation:

X = (-2+5.2, 2-1.4)

X = (3.2, 0.6)

Thus, the coordinates of X in the pre-image of the figure is (3.2, 0.6) if the  transformation rule is T_(-5.2, 1.4)(x, y)

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[tex]\frac{2}{\sqrt{13}+\sqrt{11}} \times \frac{\sqrt{13}-\sqrt{11}}{\sqrt{13}-\sqrt{11}}\\\\=\frac{2\sqrt{13}-2\sqrt{11}}{13-11}\\\\=\boxed{\sqrt{13}-\sqrt{11}}[/tex]

The solution is: our final quotient is:  (√13 - √11).

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Explanation

Since we have radicals in the denominator, we need to rationalize our expression.

To do it we just need to multiply both numerator and denominator by the conjugate of the denominator.

Remember that the conjugate of a binomial is the same binomial with the sing in between changed.

given that,

2/ (√13 + √11)

Now, we can simplify the denominator:

multiplying by  (√13 - √11)

we get,

2 *  (√13 - √11) / (√13 + √11)*  (√13 - √11)

The only radical that we can simplify in the numerator is , which simplifies to:

2 (√13 - √11) / 13 - 11

=  2(√13 - √11) /2

= (√13 - √11)

So, our final quotient is:  (√13 - √11)

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Answer: B. When finding the midpoint between two points on a vertical line, keep the x-coordinate and find the average of the y-coordinates

Answer:

3

Step-by-step explanation:

Answer:

to find this radius you need to square the area and divide it by pi or 3.14 if your using Alex

The p value is less, therefore one should reject the null hypothesis.

From the information given, the test statistic will be:

t = (10 - 0)/(6.733/✓7)

t = 3.930.

The degree of freedom will be:

= 7 - 1 = 6

Using the table, the p value will be 0.0039.

Since the p value is less than 0.05 one should reject the null hypothesis.

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M + T in standard form polynomial is -15r² + 2r + 8

Polynomial in standard is when all its terms are arranged by decreasing order of degree.

Therefore,

M = - 8r²+ 11r - 6

T = -7r² - 9r + 14

M + T =  - 8r²+ 11r - 6 + (-7r² - 9r + 14)

M + T =  - 8r²+ 11r - 6 - 7r² - 9r + 14

combine like terms

M + T = - 8r² - 7r² + 11r - 9r  - 6  + 14

In standard form, the polynomial is represented as follows;

M + T = -15r² + 2r + 8

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Answer:

no man you should reconsider the question again

try typing again i guess its wrong

Step-by-step explanation:

no man you should reconsider the question again

try typing again i guess its wrong

winning a lottery would be correct one i guess

Both the options that Nadia gives are wrong about the length of hypotenuse.

Given length of hypotenuse is 73 and options which are :

1) Because the pythagoras theorem states that [tex]28^{2} +45^{2}[/tex] squared = 73 squared.

2) 3 squares are positioned to form a right triangle.

We have to choose the correct option which shows the calculation of length of hypotenuse.

Pythagoras theorem says that in a right angled triangle the square of hypotenuse of triangle is equal to sum of the square of base and square of perpendicular.

[tex]H^{2} =P^{2} +B^{2}[/tex]

First option says that [tex]28^{2} +45^{2} =73^{2}[/tex]

784+2025=5329

2809≠5329

so it is wrong.

Second option says that the length  of hypotenuse is the sum of three squares but we have seen that the square of the length of hypotenuse is equal to sum of two square one is the square of base and the square of perpendicular.

Hence both the options are incorrect about the length of hypotenuse.

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Answer:

C

Step-by-step explanation: