Roger can make 3 bird houses in 5 hours. Which proportion could be used to determine how many bird houses Roger could build in 20 hours?

Answer:

The widgets should be sold for $26.7 for the company to make the maximum profit.

Step-by-step explanation:

Given the quadratic equation

[tex]f\left(x\right)=-15x^2+801x-59000[/tex]

As the leading coefficient is (-3), so the graph would be a downward Parabola.

Thus, the maximum profit would be at the vertex.

The selling price 'x' can be determined by determining the x-coordinate of the vertex.

In order to calculate the x-coordinate of the vertex, we can find this by

x = -b/2a

where a = -15 and b = 801

x = -801 / 2(-15)

x = -801/-30

x = 801/30

x = 267/10

x = 26.7

Therefore, the widgets should be sold for $26.7 for the company to make the maximum profit.

Answer:

It will take 1.6 hours for the two trains to be 336 miles apart.

Step by step explanation:

Given that:

Speed of eastbound train = 95 miles per hour

Speed of westbound train = 115 miles per hour

Combined speed = 95+115 = 210 miles

Distance = 336 miles

[tex]Speed = \frac{Distance}{Time}\\\\210 = \frac{336}{Time}\\\\Time = \frac{336}{210}\\\\Time = 1.6\ hours[/tex]

Hence,

It will take 1.6 hours for the two trains to be 336 miles apart.

Answer:

2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

You can use a factoring tree to find the prime factorization of 100.

                     +------ 100----------------+

                     |                                  |

                    2                           +---50---------+

                                                  |                    |

                                                  2          +----25----+

                                                               |               |

                                                               5              5

The prime factorization of 100 is 2 * 2 * 5 * 5, or 2^2 * 5^2, or 5^2 * 2^2

Step-by-step explanation:

2^2 × 5^2 =

(2×2) × (5×5) =

4 × 25 = 100

5^2 × 2^2 =

(5×5) × (2×2) =

25 × 4 = 100

2*2*5*5=100

2 and 5 are the only prime numbers in this question. 2(2)*5(5) doesnt equal 100.

The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

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Answer:

B

Step-by-step explanation:

4x+ (-2) =-2x+6

just took the quiz

Answer:

B) 4 x + (-2) = -2 x + 6

Step-by-step explanation:

Step-by-step explanation:

Area = Length * Width = (3m)(xm) = 3xm².

Answer:

[tex]71^{\circ}[/tex]

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:

[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)

[tex]2(m\angle W) = 142[/tex]

[tex]m\angle W=71^{\circ}[/tex]

Hope this helps :)

Answer:

Length = 54 ft.

Width = 50 ft.

Step-by-step explanation:

Let the width of the rectangle be 'w'.

According to question ,

Length = w + 4

Perimeter = 208 ft.

We know that [tex]perimeter = 2(l + w)[/tex] where l = length & w = width

So,

[tex]2(w + 4 + w) = 208[/tex]

[tex] = > 2(2w + 4) = 208[/tex]

[tex] = > 2w + 4 = \frac{208}{2} = 104 [/tex]

[tex] = > 2w = 104 - 4 = 100[/tex]

[tex] = > w = \frac{100}{2} = 50[/tex]

Width = 50 ft.

=> Length = 50 + 4 = 54 ft.

Answer:

x=41

Step-by-step explanation:

0.25(x-13)=7

We move all terms to the left:

0.25(x-13)-(7)=0

We multiply parentheses

0.25x-3.25-7=0

We add all the numbers together, and all the variables

0.25x-10.25=0

We move all terms containing x to the left, all other terms to the right

0.25x=10.25

x=10.25/0.25

x=41

The solution to the equation; 0.25(x - 13) = 7 as given is; x = 41

According to the question;

The solution to the given equation can be evaluated as follows;

x = 41.

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Answer:

It is 40

Step-by-step explanation:

The highest common factor of 200 and 240 is 40

Answer:

Hi! Is there a picture?

Step-by-step explanation:

Answer:

The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...

Answer:

see in this picture, the point of Lake House is (-2;5)

                               the point of Cabin is (6;3)

                               the point of Store is (-4;-5)

=> the distance between Lake House to Store is [tex]\sqrt{(-4-(-2))^{2}+(-5-5)^{2} }=2\sqrt{26}[/tex]

the distance between Cabin to Store is [tex]\sqrt{(-4-6)^{2}+(-5-3)^{2} }=2\sqrt{41}[/tex]

Step-by-step explanation:

Here is the complete question:

suppose m is the line with equation x=-5, line n is the line with equation y=1, line g is the line with equation y=x, and line h is the line with equation y=-2. Given A(9,-3), B(6,4), and C(-1,-5), what are the coordinates of the vertices of △A′B′C′ for each reflection?

1. Rx-axis

2. Ry-axis

Answer with step-by-step explanation:

1. When you get the reflecting coordinates along x-axis, the signs of the y coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(9, 3), B(6, -4), and C(-1, 5).

2. When you get the reflecting coordinates along y-axis, the signs of the x coordinates changes. Therefore, A(9,-3), B(6,4), and C(-1,-5) becomes:

A(-9, -3), B(-6, 4), and C(1, -5).

Answer:

x=24 degrees

Step-by-step explanation:

2x-4=44  <----The triangle is isosceles, in which the two base angles are equal

2x=48  <-----Solve the equation

x=24 <-------Answer

Answer: 2,100$

Step-by-step explanation:

Answer:

m = 7

Step-by-step explanation:

Use the slope formula.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{5+2}{4-3}=\frac{7}{1}=\boxed{7}[/tex]

The slope is 7.

Hope this helps.

Answer:

m=7

Step-by-step explanation:

Slope is the change in Y over the change in X

The change in Y is 7

The change in X is 1

7/1 = 7

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

E ---> J       F ---> K      G ----> L

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

Answer:

4:1:3

Step-by-step explanation:

Step-by-step explanation:

Scores of Australia in all four matches starting from 1st 208, 192, 241, 203 respectively.

Similarly, scores of Pakistan in all four matches starting from 1st 102, 202, 360, 276 respectively.

The avg of  Pakistan in one match = (102+202+360+276)/4 = 235

The avg of  Australia in one match = (208+192+241+203)/4= 211

Since, the avg score of Pakistan is more than that of Australia, Pakistan performed better.

Answer:

A?

Step-by-step explanation:

I think it is A but I'm not 100% sure

Answer:

The total cost of riding in the taxi

Step-by-step explanation:

Answer:

2.6 feet

Step-by-step explanation:

At each point, there is a loss of 20% (since it flies to 80%)

a) 8 - 20% of 8

= 8-1.6 = 6.4

b) 6.4 - 20% of 6.4

= 5.12

c) 5.12 - 20% of 5.12

4.096

d) 4.096 - 20% of 4.096

3.2768

e) 3.2768 - 20% of 3.2768

= 2.62144 feet

Answer:

7 cm

Step-by-step explanation:

Let the side of square be x.

Perimeter of square = 4x

Diameter of circle = x

Radius of circle = x/2

Circumference of circle = 2 * 22/7 * x/2 = 22/7x

According to Question,

4x + 22/7x = 100

(28+22) / 7x = 100

50x = 700

x = 14

Hence, diameter of circle = 14 cm

Radius of circle = (14/2) cm = 7 cm  

Answer: We assume that the number of cakes baked varies directly with the number of hours. Hence, he can bake 9 cakes in 7.5 hours.

Step-by-step explanation: