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2 years ago

Answer and explain deeply thank you so much! I’ll mark brainliest

Mathematics

1 answer:

Elis [28]2 years ago

8 0

Let me know if this doesn’t make sense

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The width of a rectangle is 8y- 1.5 feet and the length is 1.5y+9 feet. Find the perimeter of the rectangle.

lyudmila [28]

Answer:

$P=19y+15$

Step-by-step explanation:

Step one:

Given data

dimension of the rectangle

Width = 8y-1.5

Length = 1.5y+9

Required

The expression to represents the Perimeter

Step two:

the perimeter of a rectangle is expressed as

$P= 2L+2W\\\\P=2(1.5y+9)+2(8y-1.5)\\\\P=3y+18+16y-3\\\\$

collect like terms

$P=3y+16y+18-3\\\\P=19y+15$

6 0

3 years ago

In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

2 years ago

The slope intercept form of (-4, 8) and (9, 8)

Black_prince [1.1K]

Step 1: Find the slope

(y-y)/(x-x) = (8-8)/(9+4) = 0

Step 2: Substitute into the slope intercept equation

y - y = m(x - x)

y - 8 = 0(x - 9)

If the problem just wants plain, slope intercept form, then this is your answer.

If not, y = 8

3 0

3 years ago

10 POINTS<br><br> Seventeen is 20% of what number?<br><br> Enter your answer in the box.

Scrat [10]

85

Also, this is 5 points.

4 0

3 years ago

Please help. Will give brainliest

aev [14]

X-45\x<-4(multiply both sides by X to remove the denominator )
X-45<-4x (collect the like terms)
-45<-4x+x
-45<-3x(divide both sides by -3
-45\-3<-3\-3x
15>x

3 0

3 years ago