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2 years ago

What is 5(2a + 3b) expanded

Mathematics

2 answers:

crimeas [40]2 years ago

6 0

Answer:

10a + 15b

Step-by-step explanation:

How to solve it to get to this step is

5 times 2a = 10a

5 times 3b = 15b

anything with a 5() you times the 5 by whatever is inside the ()

Hope this helps. Please mark brainlist

Eduardwww [97]2 years ago

5 0

Answer: 10a + 15b

Step-by-step explanation:

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Rewrite the following as a decimal -5 1/11

Maru [420]

Answer:

-5.09

Step-by-step explanation:

Convert 5 1/11 to an improper fraction.

Exact Form:

-56/11

Decimal Form:

-5.09

Mixed Number Form:

-5 1/11

3 0

2 years ago

Solve (x + 3)2 + (x + 3) – 2 = 0. Let u = Rewrite the equation in terms of u. (u2 + 3) + u – 2 = 0 u2 + u – 2 = 0 (u2 + 9) + u –

Verdich [7]

Answer:

The solutions of the original equation are x=-5 and x=-2

Step-by-step explanation:

we have

$(x+3)^2+(x+3)-2=0$

Let

$u=(x+3)$

Rewrite the equation

$(u)^2+(u)-2=0$

Complete the square

$u^2+u=2$

$u^2+u+1/4=2+1/4$

$u^2+u+1/4=9/4$

rewrite as perfect squares

$(u+1/2)^2=9/4$

square root both sides

$(u+1/2)=\pm\frac{3}{2}$

$u=(-1/2)\pm\frac{3}{2}$

$u=(-1/2)+\frac{3}{2}=1$

$u=(-1/2)-\frac{3}{2}=-2$

the solutions are

u=-2,u=1

Alternative Method

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$(u)^2+(u)-2=0$

$a=1\\b=1\\c=-2$

substitute in the formula

$u=\frac{-1\pm\sqrt{1^{2}-4(1)(-2)}} {2(1)}$

$u=\frac{-1\pm\sqrt{9}} {2}$

$u=\frac{-1\pm3} {2}$

$u=\frac{-1+3} {2}=1$

$u=\frac{-1-3} {2}=-2$

the solutions are

u=-2,u=1

Find the solutions of the original equation

For u=-2

$-2=(x+3)$ ----> $x=-2-3=-5$

For u=1

$1=(x+3)$ ----> $x=1-3=-2$

therefore

The solutions of the original equation are

x=-5 and x=-2

4 0

3 years ago

Read 2 more answers

Given that the measurement is in centimeters, find the area of the circle to the nearest tenth. (Use 3.14 for π)

kvv77 [185]

Answer:

Option D) 254.3 cm2

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=9\ cm$

substitute

$A=(3.14)(9)^{2}=254.3\ cm^2$

7 0

3 years ago

a triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters The height of the prism is 1

Andrew [12]

The correct answer is:

D. 20.4 cm - 16.8 cm (attached)

The triangular prism is similar to the described prism.

$|Huntrw6|$

8 0

2 years ago

Read 2 more answers

Cade gets his phone bill and finds out that he is charged a 20 dollar flat rate and then must also pay .05 cents per minute. Wri

Klio2033 [76]

Answer:

1100 minutes

Step-by-step explanation:

Equation: 35=.05x-20

Why? x is the amount of minutes on his phone. Each minute is 0.05 hence 0.05x. Subtract 20 because that is the flat rate

55=.05x

x=1100

Therefore he was on his phone for 1100 minutes

7 0

3 years ago