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2 years ago

12

Divide the decimal 134.55 by the decimal 0.5

1 answer:

lina2011 [118]2 years ago

8 0

Answer:

269.1

Step-by-step explanation:

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The surface area of the cone is 43.75π cm2. What is the slant height of the cone? with a radius o 5 cm

yKpoI14uk [10]

The surface area of the cone is calculated through the equation,
A = πr² + πrl
where r is the radius and l is the slant height. Substituting the known values to the equation,
43.75π = π(5 cm)² + π(5 cm)(l)
l is 3.75 cm. Thus, the slant height of the cone is 3.75 cm.

3 0

2 years ago

How to find the side length of a triangle when they are 2 angles(i need to find x)

earnstyle [38]

Divide! hope that helps you

8 0

2 years ago

Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for

Lina20 [59]

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs x 0.95) + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

<em>Rearrange expressions to solve for different variables</em>

EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)

EQ2: Lollipop Lbs = 30 - Caramel Lbs

<em>Substitute formula 1 into formula 2</em>

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

<em>Distribute divisor</em>

Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs

<em>Collect terms</em>

Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs

<em>Remove .8336 Lollipops from both sides of the equation</em>

.1364 Lollipop Lbs = 2.7273

<em>Divide both sides by .1364 </em> (Answer is 19.9949 which rounds to 20)

Lollipop Lbs = 20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30 TRUE!

6 0

2 years ago

Log 15 (2x − 2) = log 15 (x+9)

notka56 [123]

Answer:

$x=11$

Step-by-step explanation:

Given the equation

$\log_{15}(2x-2)=\log_{15}(x+9)$

Note that

$2x-2>0\\ \\2x>2\\ \\x>1$

and

$x+9>0\\ \\x>-9$

Combined, $x>1$

Solve the equation:

$2x-2= x+9\\ \\2x-x=9+2\\ \\x=11$

Since $11>1,$ this is the solution to the equation.

5 0

3 years ago

Sergio is working on a research project involving the ages of students at Brooklyn College. After interviewing 500 students, he

Zinaida [17]

Answer:

The probability of of a randomly chosen student being exactly 21 years old.

= 1.293

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given Population size n = 500</em>

<em>Mean of the Population = 20 years and 6 months</em>

<em> = </em> $20 + \frac{6}{12} = 20 +0.5 = 20.5 years$ <em></em>

<em>Standard deviation of the Population = 2 years</em>

Let 'X' be the range of ages of the students on campus follows a normal distribution

Let x =21

$Z = \frac{x-mean}{S.D}$

$Z = \frac{x-mean}{S.D} = \frac{21-20.6}{2} =0.2$

<em>The probability of a randomly chosen student being exactly 21 years old.</em>

<em>P( Z≤21) = 0.5 + A( 0.2) </em>

= 0.5 +0.793

= 1.293

6 0

3 years ago