Total consumption of fruit juice in a particular country in 2006 was about 2.05 billion gallons. The population of that country in 2006 was 500 million. What was the average number of gallons of fruit juice consumed per person in the country in​ 2006?

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 :)

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:

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:

The answer of X will be equal (3)

Answer:

y - 9 = 3/10(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (8, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step 3: Write Function

Plug in variables into general form.

y - 9 = 3/10(x - 8)

y - 6 = 3/10(x + 2)

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

Step-by-step explanation:

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

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:

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:

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:

4:1:3

Step-by-step explanation:

Step-by-step explanation:

4 green bars to 3 red bars

=> 200 green bars to 3 * (200/4) = 150 red bars.

There are 150 red bars. (A)

Answer:

Step-by-step explanation:

A - 150 is the a answer

4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50

now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150

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:

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.

Answer:

C. 90°

Step-by-step explanation:

ΔEFG ≅ ΔJKL

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

∠ J ----> ∠ E

∠ J = 90°

∠ E = 90°

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:

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:

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.

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:

It is 40

Step-by-step explanation:

The highest common factor of 200 and 240 is 40

Answer:

Step-by-step explanation:

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:

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:

Answer: 2,100$

Step-by-step explanation: