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anyanavicka [17]
3 years ago
15

what is the solution to this system of equations (Use the elimination method by multiplying the first equation by 3.) 2x+y=20 6x

-5=20​

Mathematics
1 answer:
user100 [1]3 years ago
5 0

Answer:

(7, 6)

Step-by-step explanation:

multiply first eq. by 3 to get 6x - 3y = 60

now do

6x + 3y = 60

- 6x - 5y = 12

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

8y = 48

solve for y: y = 6

with this y value, plug it in to the first equation (easier to solve) and get 2x + 6 = 20

solve for x and get x = 7

so ans is (7, 6)

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Donata bought 3 Apples and 5 Pomegranites at the local supermarket for a total of $16.50 Meaghan bought 6 Apples and 11 Pomegran
Sati [7]

Answer: the cost of one apple is $1

Step-by-step explanation:

Let x represent the cost of one apple.

Let y represent the cost of one Pomegranate.

Donata bought 3 Apples and 5 Pomegranates at the local supermarket for a total of $16.50. This means that

3x + 5y = 16.5 - - - - - - - - - - - - -1

Meaghan bought 6 Apples and 11 Pomegranates at the same store for a total of $35.70. This means that

6x + 11y = 35.7- - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

6x + 10y = 33

6x + 11y = 35.7

Subtracting, it becomes

- y = - 2.7

y = 2.7

Substituting y = 2.7 into equation 1, it becomes

3x + 5 × 2.7 = 16.5

3x + 13.5 = 16.5

3x = 16.5 - 13.5 = 3

x = 3/3 = 1

7 0
3 years ago
What is the probability of getting the multiples of 3 when a number is chosen at random from whole numbers less than 20
irakobra [83]
Hold up I’m gonna help u
8 0
3 years ago
Answer number 1 or 2 or both please<3
m_a_m_a [10]

Answer:

1. 1.96 g/L

2. 1 g/cm³

Step-by-step explanation:

Density is found by dividing mass by volume: d = m/v.

1.

We know that the mass is 0.196 grams, while the volume is 100 mL.

Converting the volume to liters, we get:

100 mL = 0.1 L

Then, applying our density formula:

d = m/v

d = 0.196 g / 0.1 L = 1.96 g/L

2.

Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.

The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.

Applying our density formula gives:

d = m/v

d = 27 g / 27 cm³ = 1 g/cm³

<em>~ an aesthetics lover</em>

7 0
3 years ago
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Yuki888 [10]
I believe it is 4 my good sir
7 0
3 years ago
Read 2 more answers
10 POINTS PLEASE HELP
Llana [10]

Answer:

A company sells tents in two styles, shown below.

The sides and floor of each tent made of nylon.

For tunnel tent:

In a composite figure of tunnel tent :

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Area of semi-circle is given by:

where r is the radius the circle.

Here, Diameter(d) = 8 feet

We know that: Diameter(d) = 2 r

then;

8 = 2r

⇒ r= 4 ft.

Area of square =

then;

Area of square =  square ft

Lateral surface area of cylinder =  where r is the radius and h is the height

Here, h = 8 ft

Lateral surface area of half cylinder =  square ft

Total Surface area of tunnel tent(S)=2(Area of semi-circle)+(Lateral surface area of half cylindrical)+(Area of square)

Substitute the given values we have;

square ft.

For Pup tent:

Each side of tent = 8 ft

In a figure of Pup tent:

There are 3 square shape and two triangle.

Area of square =

then;

Area of square =  square ft

Area of a triangle is given by:

Each side of a triangle is same.

This is an equilateral triangle, and its height is given by:

then;

Area of triangle = square ft.

Substitute the given values we have;

Total surface area of Pup tent(S')

=  square ft.

⇒S' > S

therefore, the tunnel tent require less nylon to manufacture.

<h2 /><h2>PLZ GIMME BRAINLIEST :)) !!!!!!</h2>

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