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Umnica [9.8K]
2 years ago
14

Blue's Berry Farm charges Percy a total of

Mathematics
1 answer:
kaheart [24]2 years ago
8 0

Answer:

The price for each kilogram of strawberries is $7.50

Step-by-step explanation:

<u><em>The question is</em></u>

Blues berry farm charges Percy a total of $24.75 for entrance and 2.5 kilograms of strawberries. The entrance fee is $6 and the price for each kilogram of strawberries is constant

Determine the price for each kilogram of strawberries

Let

x ----> the price for each kilogram of strawberries

we know that

The entrance fee plus the price of each kilogram of strawberries multiplied by the number of kilogram of strawberries must be equal to $24.75

so

The linear equation that represent this situation is

2.5x+6=24.75

solve for x

subtract 6 both sides

2.5x=24.75-6\\2.5x=18.75

divide by 2.5 both sides

x=\$7.50

therefore

The price for each kilogram of strawberries is $7.50

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zaharov [31]

Answer:

x=nπ3, n∈I

Step-by-step explanation:

sin x + sin 5x = sin 2x + sin 4x

⇒⇒   2 sin 3x cos 2x = 2 sin 3x cos x

⇒⇒   2 sin 3x(cos 2x - cos x) = 0

⇒    sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3⇒    sin 3x=0 ⇒ 3x=nπ ⇒ x=nπ3 , n∈I, n∈I

or    cos 2x−cos x=0 ⇒ cos 2x=cos xcos 2x-cos x=0 ⇒ cos 2x=cos x

⇒   2x=2nπ±x  ⇒  x=2nπ, 2nπ3⇒   2x=2nπ±x  ⇒  x=2nπ, 2nπ3 , n∈I, n∈I

But solutions obtained by x=2nπx=2nπ , n∈I, n∈I or x=2nπ3x=2nπ3 , n∈I, n∈I are all involved in x=nπ3x=nπ3 , n∈I

7 0
2 years ago
An individual is hosting a cookout for the kick ball team. The individual wants to have two hot dogs for each guest, and 6 extra
hoa [83]

Answer:

Option 2) y = 26    

Step-by-step explanation:

We are given the following in the question:

The individual wants to have two hot dogs for each guest, and 6 extra hot logs in case some teammates bring friends.

Thus, the dependent variable is the number of hot dogs.

\text{y: Number of hot dogs}

The independent variable is the number of teammates.

\text{x: Number of teammates}}

Thus, the linear relation between the dependent and the independent variable is given as:

y(x) = 2x + 6

We have to find the value of dependent variable when independent variable is 10

For x = 10

y(10) = 2(10) + 6 = 26

Thus, the correct answer is

Option 2) y = 26

3 0
2 years ago
Kyle has created a video game called Falling Stars in which the player zaps stars from the sky. A certain number of stars must b
Tcecarenko [31]

Answer:the answer is D)  5(30 - 5) + 40; 165 stars

Step-by-step explanation:because you multiply the number of levels between Level 30 and Level 5 by 5 stars per level. Add the number of stars needed in Level 5.

5(30 - 5) + 40

5(25) + 40

165 stars

5 0
2 years ago
Read 2 more answers
Let $\overline{XY}$ be a tangent to a circle, and let $\overline{XBA}$ be a secant of the circle, as shown below. If $AX = 15$ a
KiRa [710]

Answer:

AB=5.4 units

Step-by-step explanation:

We using the theorem of intersecting tangent and secant to solve this.

By this theorem:

XY^2=XB \times AX\\9^2=15(15-XB)\\81=225-15XB\\15XB=144\\XB=9.6\\$Therefore:\\AB=AX-XB\\AB=15-9.6\\AB=5.4$ units

8 0
2 years ago
A line contains (34,12) and (32,48) what is the slope of the line in simplified form? HELP ASAPl
Tcecarenko [31]

Answer:

m=-18

Step-by-step explanation:

1. The line contains the points (34,12) and (32,48). Then, you need to use the slope formula, which is:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

2. When you substitute values into the formula, you obtain:

y_{2}=48\\y_{1}=12\\x_{2}=32\\x_{1}=34

m=\frac{48-12}{32-34}\\m=\frac{36}{-2}\\m=-18


4 0
2 years ago
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