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3 years ago

What is the solution to the equation 1/3(x-2) = 1/5(x+4) + 2?

Mathematics

1 answer:

Hoochie [10]3 years ago

5 0

Answer:

x=26

Step-by-step explanation:

1/3(x-2)=1/5(x+4)+2

x-2=3/5x+42/5

5x-10=3x+42

5x-3x-10=42

5x-3=42+10

2x=42+10

2x=52

x=26

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What is the solution to log2 (9x)- log2^3=3?

Svet_ta [14]

Answer:

x = $\frac{8}{3}$

Step-by-step explanation:

Using the rule of logarithms

log x - log y = log ( $\frac{x}{y}$ )

$log_{b}$ x = n ⇒ x = $b^{n}$

Given

$log_{2}$ (9x) - $log_{2}$ 3 = 3

$log_{2}$ ( $\frac{9x}{3}$ ) = 3

$log_{2}$ 3x = 3

3x = 2³ = 8 ( divide both sides by 3 )

x = $\frac{8}{3}$

3 0

4 years ago

What is the area of a sector with a central angle of 8 π/11 radians and a radius of 7.2 ft? use 3.14 for π and round your final

coldgirl [10]

Answer:

$59.19 ft^2$

Step-by-step explanation:

step 1

Find the area of the circle

The area of the circle is equal to

$A=\pi r^{2}$

we have

$r=7.2\ ft$

$\pi =3.14$

substitute

$A=(3.14)(7.2)^{2}$

$A=162.78\ ft^2$

step 2

we know that

The area of a circle subtends a central angle of 2π radians

using proportion

Find out the area of a sector with a central angle of 8 π/11 radians

$\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2$

7 0

4 years ago

Which of the following are quadratic equations

Igoryamba

Answer:

<h2>HOPE U UNDERSTOOD</h2>

★THANKS★

ANY DOUBTS? COMMENT PLEASE

6 0

3 years ago

Joni earned $0.625 per day for two days as interest on her $1,000.00 investment. What percent interest did she earn in total? Gi

Kitty [74]

Joni’s total interest earned is 0.125% of her investment.

<u>Solution:</u>

Given that

Interest earned by Joni per day = $0.625

Investment done by Joni = $1000

Duration of earning interest = 2 days

Total interest earned = interest earned by Joni $\times$ duration of interest earned.

= 0.625 $\times$ 2 = $1.25

$\text { Percentage of interest earned }=\frac{\text {total interest earned}}{\text {investment done}} \times 100$

$=\frac{125}{1000} \times 100=0.125 \%$

So Joni’s total interest earned is 0.125% of her investment.

4 0

3 years ago

omar has 5 liters of water he divides the water evenly between 4 buckets. how many milliters does omar pour in each bucket

ArbitrLikvidat [17]

Answer:

1250 milliliters

Step-by-step explanation:

Omar has 5 liters of water. He divides evenly between 4 buckets.

5/4 = 1.25

He pours 1.25 liters in each bucket.

Convert 1.25 liters into milliters.

1.25 × 1000

1250 milliliters.

Omar pours 1250 milliliters in each bucket.

5 0

3 years ago