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VashaNatasha [74]

3 years ago

10

Translate the following expression from a numerical expression to a verbal expression: 5(2n + 7) –3

1 answer:

zhuklara [117]3 years ago

8 0

Answer:

Five times the sum of two times a number plus seven all minus three

Step-by-step explanation:

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Max can mow a lawn in 45 minutes. Jan takes twice as long to mow the same lawn. If they work together, how long will it take the

lilavasa [31]

Max mows a yard in 45 minutes and Jan takes twice as long mowing the same yard. If Max and Jan both work together, it will take approximately 30 minutes to for them both to mow the yard.

It take Max 1 minute to mow 1/45 of the yard.
It takes Jan 1 minute to mow 1/90 of the yard.

1/45+1/90 =3/90 = 1/30 of the yard can be mowed by both in just one minute. This is how to get the answer, 30 minutes.

5 0

3 years ago

Read 2 more answers

For a circle radius of 8 feet, find the arc length s if the central angle is 10*

ser-zykov [4K]

Answer:

The correct answer is Option 1: s = 4/9pi feet

Step-by-step explanation:

Given that

The radius of circle is 8 feet

r = 8

Central angle is:10°

The arc length is denoted by s and is calculated by the formula:

$s = 2\pi r.\frac{x}{360 \textdegree}$

Here x is the central angle

Putting the known values we will get:

$s = 2\pi (8).\frac{10 \textdegree}{360 \textdegree}\\s = 16\pi . (\frac{1}{36})\\s = \frac{16\pi}{36}\\s = \frac{4}{9} \pi$

The arc length is 4/9 pi feet.

Hence,

The correct answer is Option 1: s = 4/9pi feet

8 0

3 years ago

Help help help it is simple one

algol [13]

Answer:

$3^{ -x+3}$

Step-by-step explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

$\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}}$

We can use the <u>Law of </u><u>Exponents</u> to simplify the given expression . Recall that ,

$\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}$

Note that , we can write ,

$\rm\implies \dfrac{1}{3}= 3^{-1}$

Therefore our expression becomes ,

$\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}$

Simpify using the Law of Exponents ,

$\rm\implies 3^{ -1 - ( x - 4 )}$

Open the brackets in exponent ,

$\rm\implies 3^{ -1 - x +4 }$

Simplify to get final expression ,

$\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}$

5 0

3 years ago

Tim is 4 years older than one-third of Juan's age. In 10 years, Juan will be 6 years older than twice as old as Tim is now. How

olga55 [171]

Answer:

Juan's current age = 12

Tim's current age = 8

Step-by-step explanation:

Let x= Juan's current age; x+10=Juan's age in 10 years

Then (1/3)x+4=Tim's current age;

Now we are told that:

x+10=2{(1/3)x+4}+6 eliminate brackets

x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3

3x+30=2x+42 subtract 30 and 2x from both side s

3x-2x+30-30=2x-2x+42-30 collect like terms

Juan's current age: x=12

Tim's current age: (1/3)x+4=(1/3)*12+4=8

4 years older than 1/3 of Juan's age=(1/3)*12+4=8

8=8

In 10 years, Juan will be 6 years older than twice as old as Tim is now.

12+10=22

2*8+6=22

22=22

3 0

4 years ago

Read 2 more answers

Simplify the expression

forsale [732]

Answer:

the answer would be 1

Step-by-step explanation:

5 0

3 years ago