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2 years ago

What is 2x + 3y = 13 x = 2 + 3y

Mathematics

2 answers:

IgorC [24]2 years ago

4 0

Answer:

Step-by-step explanation:

Given that

2x+3y=13. Equation 1

x=2+3y. Equation 2

Using substitution method

Substitute x in equation 2 to equation 1

2x+3y=13

2(2+3y)+3y=13

4+6y+3y=13

4+9y=13

9y=13-4

9y=9

y=9/9

y=1.

To get x, substitute y=1 into equation 2

x=2+3y

x=2+3(1)

x=2+3

x=5

Then, x=5 and y=1 is the solution to the simultaneous equation

Zanzabum2 years ago

3 0

Answer:

y = 1

x = 5

Step-by-step explanation:

Substitute:

2(2 + 3y) + 3y = 13

Simplify:

4 + 6y + 3y = 13

Combine terms:

4 + 9y = 13

Subtract 4 from each side:

9y = 9

Divide by 9:

y = 1

Substitute:

x = 2 + 3(1)

Simplify:

x = 2 + 3

Combine terms:

x = 5

Check with original equation:

2(5) + 3(1) = 13

Simplify:

10 + 3 = 13

Combine terms:

13 = 13

It works!

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3 years ago

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When the expression 10^2021 − 2021 is evaluated, the result is a very large number.

Dafna11 [192]

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 = 18,176.

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3 years ago

A circle has a diameter of 24 ft. What is its circumference?

anastassius [24]

Answer:

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3 years ago

Jimmy notices 7oranges weigh the same as 5 apples. If Jimmy has 28 oranges, how many apples would Jimmy need to equal the weight

pychu [463]

Answer:

Step-by-step explanation:

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2 years ago

Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

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3 years ago