Can two fractions with the same numerator and different denominators can be equal.

Answer:

30 oversized rackets and 50 standard rackets

Step-by-step explanation:

To maximize profit, it is very essential she strikes a balance between the two type of rackets. It is important to note that the profit on oversized racket is twice that of standard racket. Hence, she must make as many oversized rackets as possible.

The highest number of oversized racket she can make is 30. Subtracting 30 from the total number of rackets give 50 standard racket

To maximize profit, represent the constraints as a system of inequalities, graph these to find a feasible region, and evaluate the profit function at each vertex of this region.

To determine how many of each type of tennis racket a manufacturer should produce daily to maximize profit, we can set up a system of inequalities based on the given constraints and then use linear programming. The constraints are that the daily production of standard rackets (S) should be between 30 and 80, and production of oversized rackets (O) should be between 10 and 30. Additionally, the total number of rackets produced (S + O) should not exceed 80 per day.

The profit function to be maximized is P = 15O + 8S. The optimization process involves graphing the inequalities to form a feasible region, then evaluating the profit function at each vertex of this region to find the maximum profit point.

The constraints can be written as:

We look for the corner points of the feasible region that satisfies all the constraints and calculate the profit at each of these points. The highest profit among these calculated values will give us the optimal number of each type of racket to produce.

By systematically evaluating the profit P at the corner points of the feasible region, the manufacturer can identify the production levels of standard and oversized rackets that will maximize profit within the given constraints.

This approach ensures that the manufacturer can meet dealer demand, maintain high quality through production limits, and optimize profit based on the profit margins of each racket type.

Answer:

y = 4x² + 36x + 80

Step-by-step explanation:

Since the roots are x = - 5 and x = - 4 then the factors are

(x + 5) and (x + 4)

The equation is the product of the factors

y = (x + 5)(x + 4) and with leading coefficient of 4 is

y = 4(x + 5)(x + 4) ← expand factors

  = 4(x² + 9x + 20)

  = 4x² + 36x + 80

Answer:

60 calories per day

Step-by-step explanation:

example: 60 calories per serving so obviously the non example is the opposite

Answer:

B) 3 1/2 or 7/2

Step-by-step explanation:

4 3/7=31/7

3 1/2=7/2

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

31/7x-7/2=12

31/7x=12+7/2

31/7x=24/2+7/2

31/7x=31/2

x=(31/2)/(31/7)

x=(31/2)(7/31)

x=7/2

Answer:

The answer is B.) 3 1/2

Step-by-step explanation:

4

3

7

x − 3

1

2

= 12

31

7

x −

7

2

= 12

31

7

x · 14 −

7

2

· 14 = 12 · 14

62x − 49 = 168

62x = 217

x =

217

62

=

7

2

= 3

1

2

Answer:

B.76

Step-by-step explanation:

4 quarts = 1 gallon

so 4 * 19=76

Step-by-step explanation:

= (11+13+14+15+18+20+23+26)/8

= 140/8

= 17.5

Answer:

16.5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

but I would personally say FISH

Answer: Like I really told you what I just had said, "The answer to this basic math question with the given basic math expression is [tex]1+1=2.[/tex]"

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So, anyway, I hoped that my own given quoted with my own given quoted basic answer and my own given quoted basic step-by-step explanation is being very helpful to your own basic math question with the given basic math expression what I've been just said and have a great rest of the weekend! :D

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The Ambitious of Brainly And The Role of The TDSB And WHCI Student of The High School.

Answer:

We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Step-by-step explanation:

Δ GHI and Δ JKL are congruents because:

1. Their sides GH and JK are equal (9 units = 9 units)

2. Their included angles ∠G and ∠J are equal (62° = 62°)

3. Their sides GI and JL are equal (17 units = 17 units)

Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Answer:

The percentage of the total annual expenses for product payment costs is  11.49% .

Step-by-step explanation:

Given:

Annually costs on product company spends = $34000 and total annual expenses = $296000.

Now, to get the percentage of the total annual expenses for product payment costs. We will calculate the percentage, $34000 by $296000:

According to question:

[tex]\frac{34000}{296000} \times 100[/tex]

[tex]=0.11486\times 100[/tex]

[tex]=11.486[/tex]

Now, rounding to the nearest hundredth of a percent to 11.486 will be 11.49. As we see 6 in the thousandth place and 8 in hundredth place so rounding to decimal in hundredth place will change 8 into 9.

Therefore, the percentage of the total annual expenses for product payment costs is 11.49% .

Answer:

The initial investment was $7945.58.

Step-by-step explanation:

Use the compound interest formula: A = P(1 + r)^t

A is the ending amount, in this case 11,680.

P is the starting amount, which is unknown.

r is the interest rate in decimal form, in that case 8% is 0.08.

t is the time in years, in this case 5.

Substitute known values into the equation

A = P(1 + r)^t

11,680 = P(1.08)^5

11,680 = 1.47P

P = 11,680/1.47

P = 7945.58

The initial investment was $7945.58.

Answer:

Step-by-step explanation:

2 green of every 5:

[tex]\dfrac{2}{5}[/tex]

Convert to the percent:

[tex]\dfrac{2}{5}\cdot100\%=\dfrac{200}{5}\%=40\%[/tex]

We can use the points (12, 5) and (9, 8) to solve.

Slope formula: y2-y1/x2-x1

= 8-5/9-12

= 3/-3

= -1

______

Best Regards,

Wolfyy :)

Multiply the weight by 5%, then subtract that from the weight for the lower value and add it for the higher value:

258 x 0.05 = 12.9g

Lower value: 258 - 12.9 = 245.1g

Higher value: 258 + 12.9 = 270.9g

Answer:

39.3

Step-by-step explanation:

100 / 6 is about 16, 16.66667 to be exact:

2.36 * 16.66667 =  approx. 39.3

Final answer:

To determine 6% of what number is 2.36, divide 2.36 by 0.06, resulting in an answer of approximately 39.33.

Explanation:

To find 6% of what number equals 2.36, we set up an equation where 6% (or 0.06) multiplied by a number 'x' equals 2.36. The equation looks like this: 0.06x = 2.36. To solve for 'x', you divide both sides of the equation by 0.06, which yields x = 2.36 ÷ 0.06. After calculating, you get that x equals 39.33. Therefore, 6% of 39.33 is 2.36.

The inequality for the given condition is x ≥ 42 inches

Solution:

Given that, the condition is you must be at least 42 inches tall to ride the bumper cars at an amusement park.  

We have to write an inequality that represents this situation.

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =

Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥

Let "x" represent the heights of people who are allowed to ride the bumper cars

Height of people who are allowed to ride the bumper cars should be at least 42 inches

Height of people ≥ 42 inches [ since at least condition holds even at 42 value also ]

x ≥ 42 inches

Hence, the inequality for the given condition is x ≥ 42 inches

Answer:

[tex]\large\boxed{k=\dfrac{2m+3}{7-r}\ \text{for}\ r\neq7}[/tex]

Step-by-step explanation:

[tex]7k+2m=kr+4m+3\qquad\text{subtract}\ 2m\ \text{from both sides}\\\\7k+2m-2m=kr+4m-2m+3\\\\7k=kr+2m+3\qquad\text{subtract}\ kr\ \text{from both sides}\\\\7k-kr=kr-kr+2m+3\\\\7k-kr=2m+3\qquad\text{distribute}\\\\k(7-r)=2m+3\qquad\text{divide both sides by}\ (7-r)\neq0\\\\k=\dfrac{2m+3}{7-r}[/tex]

Answer:

(A) 40.67

(B) 57.98

Step-by-step explanation:

I did it in my head

Answer:

-1-i

Step-by-step explanation:

(2-8)+(5-i)=-6+5-i=-1-i

To write an equation for the deer population p as a function of t, we can assume a constant growth rate and use the equation p = 80 + rt, where r is the growth rate per year.

To write an equation for the deer population p as a function of t, we can use the information given. Let's assume that the population grows at a constant rate. If t represents the number of years since 2000, then we can write the equation as:

p = 80 + rt

where r is the growth rate per year. This equation assumes that there were 80 deer in the population in 2000, and the population has been growing at a constant rate since then.

https://brainly.com/question/36688505

#SPJ12

Answer:

y<1

Step-by-step explanation:

-2(y-4)+8y+2<16

-2y+8+8y+2<16

6y+10<16

6y<16-10

6y<6

y<6/6

y<1

Answer:

To calculate the slope of a line you need only two points from that line, (x1, y1) and (x2, y2). There are three steps in calculating the slope of a straight line when you are not given its equation.

Step-by-step explanation:

Step One: Identify two points on the line. Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Answer:

[tex]\large \boxed{24; 12; 8}[/tex]

Step-by-step explanation:

1. Calculate the number of milkshakes

[tex]\text{Number of milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each milkshake}} = 3 \div \dfrac{1}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\frac{1}{8} = 3\times \dfrac{8}{1}  = \mathbf{24}\\\\\text{LiAnn can make $\large \boxed{\mathbf{24}}$ milkshakes}[/tex]

2. Calculate the number of double milkshakes

[tex]\text{Number of double milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each double milkshake}} = 3 \div \dfrac{1}{4}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{1}{4} = 3\times \dfrac{4}{1}  = \mathbf{12}\\\\\text{LiAnn can make $\large \boxed{\mathbf{12}}$ milkshakes}[/tex]

3. Calculate the number of triple milkshakes

[tex]\text{Number of triple milkshakes}= \dfrac{\text{Total volume}}{\text{Volume of each triple milkshake}} = 3 \div \dfrac{3}{8}[/tex]

Invert the denominator and change division to multiplication

[tex]3\div\dfrac{3}{8} = 3\times \dfrac{8}{3}[/tex]  

Cancel the 3s

[tex]3\times \dfrac{8}{3} = \mathbf{8}\\\\\text{LiAnn can make $\boxed{\mathbf{8}}$ triple milkshakes}[/tex]

Answer:

  --g(x) = g(x) = x - 6

Step-by-step explanation:

The opposite of the opposite is the original.

the answer is 0

Step-by-step explanation:

on edge

Answer:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

Step-by-step explanation:

y" + y' + y = 1

This is a second order nonhomogenous differential equation with constant coefficients.

First, find the roots of the complementary solution.

y" + y' + y = 0

r² + r + 1 = 0

r = [ -1 ± √(1² − 4(1)(1)) ] / 2(1)

r = [ -1 ± √(1 − 4) ] / 2

r = -1/2 ± i√3/2

These roots are complex, so the complementary solution is:

y = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t)

Next, assume the particular solution has the form of the right hand side of the differential equation.  In this case, a constant.

y = c

Plug this into the differential equation and use undetermined coefficients to solve:

y" + y' + y = 1

0 + 0 + c = 1

c = 1

So the total solution is:

y(t) = c₁ e^(-1/2 t) cos(√3/2 t) + c₂ e^(-1/2 t) sin(√3/2 t) + 1

To solve for c₁ and c₂, you need to be given initial conditions.

Answer:

C)  8, 15, 16 is NOT Pythagorean TRIPLET.

Step-by-step explanation:

There numbers  a, b and c are said to be a PYTHAGORAS TRIPLET if

[tex](a) ^2 + (b)^2 = (c) ^2[/tex]

Now, here in the given options:

A)5, 12, 13

[tex](5)^2 +   (12)^2 = 25 +  144 = 169 = (13)^2\\\implies (5) ^2 + (12)^2 = (13) ^2[/tex]

Hence, 5, 12, 13 is a Pythagorean TRIPLET.

B)7, 24, 25

[tex](7)^2 +   (24)^2 = 49 +  576=  625 = (25)^2\\\implies (7) ^2 + (24)^2 = (25) ^2[/tex]

Hence, 7, 24, 25 is a Pythagorean TRIPLET.

C)8, 15, 16

[tex](8)^2 +   (15)^2 = 64 +  225=  289 \neq (16)^2 = 256\\\implies (8) ^2 + (15)^2 \neq (16) ^2[/tex]

Hence, 8, 15, 16 is NOT Pythagorean TRIPLET.

D)11, 60, 61

[tex](11)^2 +   (60)^2 = 121 +  3600 =  3721 =  (61)^2\\\implies (11) ^2 + (60)^2 = (61) ^2[/tex]

Hence, 11, 60, 61 is a Pythagorean TRIPLET.

E)12, 35, 37

[tex](12)^2 +   (35)^2 = 144 +  1225 =  3721 =  (37)^2\\\implies (12) ^2 + (35)^2 = (37) ^2[/tex]

Hence, 12,35 , 37 is a Pythagorean TRIPLET.

John is 34, Grandmother is 86.

2014 - 1980 = 34.

2014 - 1928 = 86.

:)

Answer:

$9 to each person

Step-by-step explanation:

63/7=9

Answer: 9

Step-by-step explanation:

$63 divided by 7 people = $9 debt per person

Cara's brother is 7 years old.

14 is twice as much as 7 (7 * 2 = 14).

Answer:

7

Step-by-step explanation:

If Cara is twice the age of her brother,

divide 14/2

7, her brother is 7