All categories

3 years ago

4(x-.50)=x*3 Show your work

Mathematics

2 answers:

den301095 [7]3 years ago

8 0

Step 1: Simplify both sides of the equation.

4 (x−0.5)=x (3)

(4)(x)+(4)(−0.5)=x(3)(Distribute)

4x+−2=3x

4x−2=3x

Step 2: Subtract 3x from both sides.

4x−2−3x=3x−3x

x−2=0

Step 3: Add 2 to both sides.

x−2+2=0+2

Answer: x=2

german3 years ago

5 0

$4(x-0.5)=x\cdot3\\\\4x-2=3x\\\\4x-3x=2\\\\x=2$

You might be interested in

The next model of a sports car will cost 5.1% more than the current model. The current model costs $38,000. How much will the pr

LUCKY_DIMON [66]

<em>How much will the price increase in dollars ?</em>

$38000×5.1% = $38000×5.1/100 = $380×5.1 = $1938

<em>What will be the price of the next model ?</em>

$38000 + $1938 = $39938

5 0

3 years ago

I need step by step explanation for thisss >33

Debora [2.8K]

Answer:

Step-by-step explanation:

The question says find the number eight times of a certain two digit number exceeding the number 19.The tens digit than the units digit . So,you have to multiply eight to a two digit number exceeding 19 so you find a number exceeding 19 which would have to be able to to multiply by eight to exceed the number 19

3 0

4 years ago

Read 2 more answers

Convert -1 1/4 into a decimal

makkiz [27]

-1 1/4 as a decimal would be -1.25.

Since -1 is a whole number we would just write that as -1. 1/4 as a decimal is .25.

6 0

4 years ago

Read 2 more answers

EASY POINTS AND PLEASE HELP ASAP!!! WILL MARK BRAINLIST! ;)

Evgesh-ka [11]

Step-by-step explanation:

$- 2(3x + 7) = 32 - 4x \\ distribute \\ - 2 \times 3x = - 6x \\ - 2 \times 7 = - 14 \\ - 6x - 14 = 32 - 4x \\ add \: 4x \: to \: both \: sides \\ - 6x + 4x = 32 - 4x + 4x \\ - 2x = 32 \\ divide \: by \: - 2 \\ \frac{ - 2x}{ - 2} = \frac{32}{ - 2} \\ \\ x = - 16$

$4x + y = 3 \\ y = - 4x + 3 \\ using \: point \: slope \: form \\ y - y1 = m(x - x1) \\ y + 6 = - 4(x + 4) \\ y + 6 = - 4x - 16 \\ y = - 4x - 22$

First equation: Your equation is given.

Second equation: Distribute by multiplying every number in the parentheses by the number outside it.

3rd equation: Combine like terms by adding 4x to both sides.

4th equation: Combine like terms by subtracting 14 from both sides.

5th equation: Divide both sides by -2, the coefficient of x.

3 0

3 years ago

Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

6 0

4 years ago