Simplify this step by step
$(-5jk)/(35j^2k^2)$

Answers

Answer 1

Answer: $\frac { -5jk }{ 35{ j }^( 2 ){ k }^( 2 ) } \n \n =-\frac { 5 }{ 35 } \cdot \frac { j }{ { j }^( 2 ) } \cdot \frac { k }{ { k }^( 2 ) } \n \n =-\frac { 1 }{ 7 } \cdot \frac { 1 }{ j } \cdot \frac { 1 }{ k } \n \n =-\frac { 1 }{ 7jk }$

Remember that:

$\frac { j }{ { j }^( 2 ) } =\frac { 1 }{ j } \cdot \frac { j }{ j } =\frac { 1 }{ j } \cdot 1=\frac { 1 }{ j } \n \n \frac { k }{ { k }^( 2 ) } =\frac { 1 }{ k } \cdot \frac { k }{ k } =\frac { 1 }{ k } \cdot 1=\frac { 1 }{ k }$

Answer 2

Answer: $(-5jk)/(35j^2k^2)=-(1)/(7jk)$

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The class of 2015 decides to start a T-shirt company. After initial expenses of $280, the purchase each t-shirt for $3.99. They sell each t-shirt for $10.99. how many must they sell to break even?

Answers

$280=budget

10.99-3.99= $7 profit made with each shirt

$280/7= 40

Therefore the class must sell at least 40 t shirts to break even

70 bc, if u round up 3.99 it equals 4. then 4x70=280 the number you want. and if you round up 10.99 to 11 its 770 so you would have 490 left over to buy more

When rolling two standard cubes (6-sided die), what is the probability that you roll sum of 11? Convert your answer to decimal form, then round to 3 decimal places

Answers

Answer:

Step-by-step explanation:

There are only two ways to roll a sum of 11 (5,6),(6,5) out of 36 possible outcomes so

P(11)=2/36=1/18

as a rounded decimal 0.056

The measure if an exterior angle of a regular polygon is given below find the measure of an interior angle then find the number of sides 24

Answers

Answer:

The measure of the interior angle is 156°

The polygon has 15 sides

Step-by-step explanation:

Let us revise some facts in a polygon

The sum of the exterior angles of any polygon is 360°

At each vertex of a polygon, the exterior and interior angles formed a pair of linear angles (The sum of their measures is 180°)
A regular polygon has equal angles and equal sides

In our question

∵ The measure of an exterior angle of a regular polygon = 24°

∵ The sum of measures of the interior angle and exterior angle at

a vertex of a polygon is 180°

∴ The measure of the interior angle = 180° - 24°

∴ The measure of the interior angle = 156°

∵ The sum of the exterior angles of any polygon is 360°

∵ The polygon is regular (all angles are equal in measures)

∴ The measure of each exterior angle = 360° ÷ n, where n the

number of its angles or sides

∴ 24° = 360°/n

→ Multiply both sides by n

∴ 24n = 360

→ Divide both sides by 24

∴ n = 15

∴ The polygon has 15 sides

Roger wraps presents at a local gift shop. If it takes 1.4 meters of ribbon to wrap a present, how many can he wrap if he has 40 meters of ribbon?

Answers

40/1.4= 28.57 Reasonably, he can wrap 28 gifts before running out of ribbon.

A company wants to installan underground storage tank that is in the shape of acylinder with both ends being in the shape of a hemisphere. The tank will have anoutside diameter of 20 feet and a total length of 50 feet (that is from the tip of one end ofthe hemisphere shape to the tip of the other hemisphere shape)lf the walls of the tankare 3 inches thick, what is the volume of the tank in cubic feet and how many gallons ofliquid can be contained in the tank (1 cubic foot 7.48 gallons)?

Answers

wallsare 3 inches thick
diameter is 20 feet, find real diametter
legnth is 50 feet, find real legnth

minus 6 inches from each measurement since that is not included

20ft-6in=19.5ft
50ft-6n=49.5ft

we have a cylinder and a 2 hemispheres
2 hemispheres=1 sphere

Vcylinder=hpir^2
Vsphere=(4/3)pir^3

r=d/2
r=19.5/2=9.75
h=49.5

Vcylinder=49.5*pi*9.75^2=14783.058738886 ft^3
Vspere=(4/3)pi9.75^3=388419466778 ft^3
add them
Vcylinder+Vspher=14783.058738886+388419466778 ft^3=18665,478205664ft^3

V=18665,478205664 ft^3
times 7.48 to find gallons
Vingallons=139617.77697837 gallons

Write an inequality to model the situation. Thomas earned $44 or more.A. t ≥ 44

B. t ≤ 44

C. t > 44

D. t < 44

Answers

Answer

A. t ≥ 44

Explanation

Remember the sing ≥ (greater or equal than), means that Thomas earned $44 or more.

Let $t$ represent the mount of money that Thomas earned.

Since the sing ≥ (greater or equal than), means that Thomas earned $44 or more, the inequality that model the situation is:

$t\geq 44$

Hello,

Answer A
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