A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 5 child bikes and 15 adult bikes in a week. No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100 Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100

Based on the calculations, the distance between the garden and the woods is equal to 383 meters.

First of all, we would assign a variable to the different speeds of the turtle and hedgehog as follows:

Mathematically, distance is given by this formula:

Distance = speed × time

Translating the word problem into an algebraic expression, we have;

If they both meet in 5 hours:

D = (S₁ + S₂) × 5  

D = 5S₁ + 5S₂      ......equation 1.

Turtle's speed is 10 meters per hour slower than the hedgehog:

S₁ = S₂ - 10    .....equation 2.

If the turtle had left home 4.5 hours earlier than the hedgehog had left his home:

9.5S₁ + 5S₂ = D + 150    .....equation 3.

Substituting enq. 2 into eqn. 1, we have:

D = 5(S₂ - 10) + 5S₂

D = 5S₂ - 50 + 5S₂

D = 10S₂ - 50      .....equation 4.

Equating eqn. 3 and eqn. 4, we have:

10S₂ - 50 = 9.5(S₂ - 10) + 5S₂ - 150

10S₂ - 50 = 9.5S₂ - 95 + 5S₂ - 150

10S₂ - 50 = 14.5S₂ - 245

14.5S₂ - 10S₂ = 245 - 50

4.5S₂ = 195

S₂ = 195/4.5

S₂ = 43.3 m/h.

Now, we can find the distnace:

D = 10S₂ - 50

D = 10(43.3) - 50

D = 433 - 50

D = 383 meters.

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Answer:

14 hours, 45 minutes

Step-by-step explanation:

The time between 8:10:00 AM and 10:55:00 PM is,

14 hours, 45 minutes, and 0 seconds or 14.75 hours

Answer: the answer is choice b which is 0 .

Step-by-step explanation: Any irregular quadrilateral has zero lines of symmetry because the sides are not equal so they won't form equivalent sides . This shape or quadrilateral can't be divided to lines of symmetry as the sides won't be equal . HOPE IT HELPS YOU BUDDY .PLEASE GIVE BRAINLIEST .THANKS .

Answer:

The Correct answer is B.0.

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Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2 units

2. 11y+4=180=16

3. 33 (close enough)

4. 3.2( ( wouldn't take this for granted)

5.1004.8

Answer:

40%

Step-by-step explanation:

The increase was $8. Divide the increase by the original amount.

8/20 = .4

The decimal answer 0.4 converts to a percent answer of 40%. (.4×100=40)

The candle was marked up 40%.

Answer:

g = 3

Step-by-step explanation:

Let :

The equations are :

Finding l

Finding w

Finding g

Answer:

Total amount = interest + principle

Step-by-step explanation:

Formula:- I = PRT/100

Where,

⇒ I = 500×5×3/100

⇒ I = 7500/100

⇒ I = 75

Interest is $75.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 5% per year for 3 years is $575.00.

Answer:

D. 116

Step-by-step explanation:

[tex]V=(\frac{1}{3})\pi r^{2}h[/tex]

V = (1/3)π(4)²(6.9)

V = 36.8π

V ≈ 115.55

Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!

Answer:

Step-by-step explanation:

Use the slope formula.

[tex]\underline{\text{SLOPE FORMULA:}}[/tex]

[tex]\longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

y2=3

y1=(-9)

x2=1

x1=8

Rewrite the problem down.

[tex]\sf{\dfrac{3-(-9)}{1-8}=\dfrac{3+9}{1-8}=\dfrac{12}{-7}=\boxed{\sf{-\dfrac{12}{7} }}[/tex]

I hope this helps, let me know if you have any questions.

Answer:

[tex]\boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

Step-by-step explanation:

Slope formula:

[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run}}} = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

Using the coordinates (8, -9) and (1, 3), we obtain the following:

Substitute the coordinates of both the points in the slope formula to obtain the fraction that represents the slope.

[tex]\implies \text{Slope} = \dfrac{3 - (- 9)}{1 - 8}[/tex]

To obtain a specific fraction or whole number that represents the slope, we need to simplify the numerator and the denominator.

[tex]\implies \text{Slope} = \dfrac{3 + 9}{-7}[/tex]

[tex]\implies \text{Slope} = \dfrac{12}{-7}[/tex]

Use parenthesis and take out the "negative sign" from the denominator.

[tex]\implies \boxed{\text{Slope} = -\huge\text{(}\dfrac{12}{7}\huge\text{)}}[/tex]

Answer:

Explanation:

Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, length of CD having coordinates C(3,1) and D(3, 3),

[tex]CD=\sqrt{(3-3)^2+(1-3)^2}[/tex]

[tex]=2[/tex] [tex]units[/tex]

Formula to find the midpoint of CD is,

[tex]M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

   [tex]=(\frac{3+3}{2},\frac{1+3}{2})[/tex]

   [tex]=(3,2)[/tex]

Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.

Answer:

J

Step-by-step explanation:

Let's break this problem into a few steps:

            ⇒ Amount of Candybar: Candy - (1/2)Candy = (1/2)Candy

           ⇒ Amount of Candy left:  

                    Total amount of candy - (1/6) * Total amount of candy

                                                 = (1/2) Candy - (1/6) *(1/2)Candy

                                                 = (1 - 1/6) * (6/7) Candy

                                                 = 5/6 * 1/2 = 5/12 Candy

Thus there is 5/12 of the candy left.

Answer:

B) 55, 68,81

Step-by-step explanation:

42-29=13

29-16= 13

So 42 + 13= 55

55+ 13= 68

68+ 13= 81

Answer:

B)  55, 68, 81

Step-by-step explanation:

Given sequence:  3, 16, 29, 42

To determine if the sequence is arithmetic or geometric, work out the difference in the terms.

[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]

This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence.  To find the next term in the sequence, simply add 13 to the last term:

42 + 13 = 55

55 + 13 = 68

68 + 13 = 81

Therefore, the next three terms in the given sequence are 55, 68, 81

To solve this using the general form of an arithmetic sequence:

[tex]a_n=a+(n-1)d[/tex]

where:

Given:

[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]

Therefore, the next 3 terms in the sequence are:

[tex]\implies a_5=13(5)-10=55[/tex]

[tex]\implies a_6=13(6)-10=68[/tex]

[tex]\implies a_7=13(7)-10=81[/tex]

The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Function representing the cost to the manufacturer is,

C(x) = -20x²+ 48000x + 19351

A function that represents the revenue generated is,

R(x) = -23x² + 114000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

        = -23x² + 114000x - ( -20x²+ 48000x + 19351)

        = -23x² + 20x² + 114000x - 48000x - 19351

P(x)  = -3x² + 66000x - 19351

Since this function is a quadratic function, the maximum price generated would be x = -b/2a

From the given quadratic function, a = (-3), b = 66000 and c = -19351

x = - 66000/ 2(-3)

x = -66000/-6

x = 11000

x = 11000 the profit to the company will be maximum.

That means pear company should produce 11000 phones for the maximum profit.

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With the conversion factor from tries to seconds, the time taken to to complete the average number of random tries is 24 minutes.

Your information is incomplete. Therefore, an overview will be given based on the values. Let's assume that the number of tries for 10 amino acids is 2 minutes.

Therefore, the duration for 120 amino acids will be:

= (120/10) × 2

= 12 × 2

= 24 minutes.

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Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

Answer:

18

Step-by-step explanation:

i k

Just todo the test so its tje ansiedad

Answer:

Una fracción donde el denominador (el número de abajo) es una potencia de diez (como 10, 100, 1000, etc.). Puede escribir fracciones decimales con un punto decimal (y sin denominador), lo que facilita la realización de cálculos como la suma y la multiplicación de fracciones.

Step-by-step explanation:

espero que esto ayude

Answer:

Option A, [tex]n =[/tex] ± [tex]17[/tex]

Step-by-step explanation:

Step 1:  Add 29 to both sides

[tex]n^2 - 29 = 260[/tex]

[tex]n^2 - 29 + 29 = 260 + 29[/tex]

[tex]n^2 = 289[/tex]

Step 2:  Square root both sides

[tex]\sqrt{n^2} = \sqrt{289}[/tex]

[tex]n =[/tex] ± [tex]17[/tex]

Answer:  Option A, [tex]n =[/tex] ± [tex]17[/tex]

you didn't give any options

hope you understood...!!!

Answer:

3078

Step-by-step explanation:

you didn't specify whats the length width and height

Answer:

s = 10

Step-by-step explanation:

This Triangle is a Right Triangle with two equal sides ( because there are two equal angles )

Pytha. Theorem

A² + B² = C²

since we have two equal sides the A = B = s

then

s² + s² = c²

2s² = c²

2s² = (10sqrt2)²

2s² = 100 x 2

2s² = 200

s² = 200/2 = 100

s = sqrt ( 100 )

s = 10

Answer:

About 965517 Americans.

Answer:

About 96,5517 people / representative

Step-by-step explanation:

420,000,000 / 435 = 96,5517.24 people per representative

Answer:

green

Step-by-step explanation:

Green covers 1/4 of the circle space where the spinner can stop

Answer:

Step-by-step explanation:

[tex]d^{2}=PD^{2}+D_{2}L^{2}\\\ \ \ \ \\ =\ 600^{2}+700L^{2}\\\ \ \ \ \\ =\ 850000\\\\\text \\then\\d = \sqrt{850000} =921.954445729289\\\\\text then\\d\ \approx922[/tex]

Answer:

1.7

Step-by-step explanation

You just do 6 x 0.9 to the twelfth power.

Answer:

99% of all balls she hits with this club will lie between the values in the interval.

Step-by-step explanation:

Edge  2022