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3 years ago

3(5x – 10) < 30x solve for x

Mathematics

2 answers:

kotykmax [81]3 years ago

5 0

Step-by-step explanation:

Step 1: Distribute

$3(5x - 10) < 30x$

$(3 * 5x) + (3 * -10) < 30x$

$15x - 30 < 30x$

Step 2: Subtract 15x from both sides

$15x - 15x - 30 < 30x - 15x$

$-30 < 15x$

Step 3: Divide both sides by 15

$-30 / 15 < 15x / 15$

$-2 < x$

Answer: $x > -2$

Gnesinka [82]3 years ago

4 0

Answer:

x>-1.25

Step-by-step explanation:

3(5x-10)<30x

15x-20<30x

-20<15x

-20/15<x

-1.25<x

x>-1.25

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Which of the following expressions is in simplified form?

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4 years ago

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How do you work out the rate, time and principal from the compound interest formula?

wlad13 [49]

Answer:

Part 1) $P=A/(1+\frac{r}{n})^{nt}$ (see the explanation)

Part 2) $r=n[\frac{A}{P}^{1/(nt)}-1]$ (see the explanation)

Part 3) $t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$ (see the explanation)

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

Part 1) Find the Principal P

The values of A,r,n and t are given

Isolate the variable P

$A=P(1+\frac{r}{n})^{nt}$

Divide both side by $(1+\frac{r}{n})^{nt}$

$P=A/(1+\frac{r}{n})^{nt}$

Part 2) Find the rate r

The values of A,P,n and t are given

Isolate the variable r

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Elevated both sides to 1/(nt)

$\frac{A}{P}^{1/(nt)} =(1+\frac{r}{n})$

subtract 1 both sides

$\frac{A}{P}^{1/(nt)}-1 =\frac{r}{n}$

Multiply by n both sides

$r=n[\frac{A}{P}^{1/(nt)}-1]$

Part 3) Find the time t

The values of A,P,r and n are given

Isolate the variable t

$A=P(1+\frac{r}{n})^{nt}$

Divide both sides by P

$\frac{A}{P} =(1+\frac{r}{n})^{nt}$

Apply log both sides

$log(\frac{A}{P})=log(1+\frac{r}{n})^{nt}$

Apply property of exponents

$log(\frac{A}{P})=(nt)log(1+\frac{r}{n})$

Divide both side by $(n)log(1+\frac{r}{n})$

$t=log(\frac{A}{P})/[(n)log(1+\frac{r}{n})]$

3 0

3 years ago

There are 36 students in the class 1/6 students are wearing blue shirts and 2/3 are wearing white shirts how many are wearing a

Marat540 [252]

Answer:

The answer would be 1/6 kids are wearing shirts that are neither blue or white.

Step-by-step explanation:

So, to make this easier, lets convert 2/3 to a same denominator fraction.

We must ask, how many times does 3 go into six?

We multiply 3 by 2 and get six. We then multiply the numerator of 2 by the same, getting 4.

Our new fraction is 4/6 which is equal to 2/3.

Then we add 4 to 1, making it 5. That is the amount of students wearing blue and white shirts, which means

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Hope this helps,

waffletowne

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3 years ago

Please answer now ! 90 points

ozzi

Step-by-step explanation:

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25L $\leq$ 150

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Hope that helps :)

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