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3 years ago

Solve for x: 1/4(4x+15)=24

1 answer:

8 0

T's solve your equation step-by-step.14(4x+15)=24Step 1: Simplify both sides of the equation.14(4x+15)=24(14)(4x)+(14)(15)=24(Distribute)x+15/4=24Step 2: Subtract 15/4 from both sides.x+15/4−15/4=24−154x=81/4

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List the steps in order to solve this multi-step equation

Nimfa-mama [501]

Answer:

Don't know what the equation is but this is the rules is:

Subtract 4x from each side.

2. Simplify.

3. Subtract 2 from each side.

4. Simplify.

5. Divide each side by 5.

6. Simplify

Step-by-step explanation:

This is an example

8 0

3 years ago

Solve by quadratic equation

Ymorist [56]

<h2>Question :</h2>

$\tt \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}$

<h2>Answer :</h2>

$\large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}$

<h2>Explanation :</h2>

$\tt : \implies \dfrac{x+2}{x-2} + \dfrac{x-2}{x+2} = \dfrac{5}{6}$

$\tt : \implies \dfrac{(x+2)(x+2) + (x-2)(x-2)}{(x-2)(x+2)} = \dfrac{5}{6}$

$\tt : \implies \dfrac{(x+2)^{2} + (x-2)^{2}}{(x-2)(x+2)} = \dfrac{5}{6}$

Now, we know that :

$\large \underline{\boxed{\bf{(a+b)^{2} = a^{2} + b^{2}+ 2ab}}}$
$\large \underline{\boxed{\bf{(a-b)^{2} = a^{2} + b^{2} - 2ab}}}$
$\large \underline{\boxed{\bf{(a+b)(a-b) = a^{2} - b^{2}}}}$

$\tt : \implies \dfrac{x^{2}+2^{2}+ 2 \times x \times 2 + x^{2}+2^{2} - 2 \times x \times 2 }{x^{2}-2^{2}} = \dfrac{5}{6}$

$\tt : \implies \dfrac{x^{2}+ 4 + \cancel{4x} + x^{2}+ 4 - \cancel{4x}}{x^{2}-4} = \dfrac{5}{6}$

$\tt : \implies \dfrac{x^{2} + x^{2} + 4 + 4}{x^{2}-4} = \dfrac{5}{6}$

$\tt : \implies \dfrac{2x^{2} + 8}{x^{2}-4} = \dfrac{5}{6}$

By cross multiply :

$\tt : \implies (2x^{2} + 8)6= 5(x^{2}-4)$

$\tt : \implies 12x^{2} + 48 = 5x^{2}-20$

$\tt : \implies 12x^{2} + 48 - 5x^{2} + 20 = 0$

$\tt : \implies 7x^{2} + 68 = 0$

$\tt : \implies 7x^{2} + 0x + 68 = 0$

Now, by comparing with ax² + bx + c = 0, we have :

a = 7
b = 0
c = 68

By using quadratic formula :

$\large \underline{\boxed{\bf{x = \dfrac{-b \pm \sqrt{b^{2} - 4ac}}{2a}}}}$

$\tt : \implies x = \dfrac{-(0) \pm \sqrt{(0)^{2} - 4(7)(68)}}{2(7)}$

$\tt : \implies x = \dfrac{0 \pm \sqrt{0 - 1904}}{14}$

$\tt : \implies x = \dfrac{\pm \sqrt{- 1904}}{14}$

$\tt : \implies x = \dfrac{\pm \sqrt{2\times 2\times 2\times 2\times 7\times 17}}{14}$

$\tt : \implies x = \dfrac{\pm \cancel{2} \times 2\sqrt{7\times 17}}{\cancel{14}}$

$\tt : \implies x = \dfrac{\pm2\sqrt{119}}{7}$

$\large \underline{\boxed{\bf{x = \dfrac{\pm 2\sqrt{119}}{7}}}}$

Hence value of $\bf x =\dfrac{\pm 2\sqrt{119}}{7}$

5 0

3 years ago

Read 2 more answers

In a two-way analysis of variance, a main effect is defined as: Select one: a. the mean differences among the levels of one fact

Irina-Kira [14]

Answer:

a. the mean differences among the levels of one factor

Step-by-step explanation:

In statistics, a two-way analysis of variance (ANOVA), a main effect is defined as the mean differences among the levels of one factor.

The aim of a two-way analysis of variance (ANOVA) is to give the relationship or identify if there is an interaction between the two independent variables on the dependent variable.

3 0

4 years ago

ALGEBRA 100 Points helppp please:))

Vladimir79 [104]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

The sun is roughly 93,000,000 miles away from Earth

We can round this to 100,000,000

As a power of 10, this is $10^{8}$

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

｡☆✼★ ━━━━━━━━━━━━━━ ☾

6 0

3 years ago

Read 2 more answers

Jack used cubes to make the right angle rectangular prism below she then made smaller rectangular prism using 1/4 of the number

AfilCa [17]

Answer:

Step-by-step explanation:

The formula to find the volume of the right angle rectangular prism is:

V = h*w*l where:

h is the height
w is the width
l is the length

= 4*8*2 = 64 cubic inches

Let V1 in cubic inches is the volume of the big rectangular prism

In the question, she made smaller rectangular prism using 1/4 of the number of cubes so the volume in cubic inches of the smaller right rectangular prism:

1/4 the Volume of of the big rectangular prism

= 1/4 V1

= 1/4*64 = 16

Hope it will find you well.

3 0

3 years ago