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3 years ago

Help me with this question please.

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

The number of Pencils purchased and the cost of pencils represents a proportional relationship.

Step-by-step explanation:

As we know that proportional relationships between two variables have equivalent ratios.

For example,

3/12 = 9/36 is a TRUE proportions because both fractions reduces to 1/4, and because 12 × 9 = 3 × 36.

As our problem suggests whether the number of Pencils purchased and the cost of pencils represent a proportional relationship?

Given

Pencils $0.25 each

It means ach pencil costs $0.25.

If Sarah buys 1 pencil it would cost = $0.25

If Sarah buys 2 pencils it would cost = $0.5

If Sarah buys 3 pencils it would cost = $0.75

If Sarah buys 4 pencils it would cost = $1

Lets make a table:

No of Pencils Purchased Cost

1 $0.25

2 $0.5

3 $0.75

4 $1

Cost/No of Pencils Purchased = 0.25/1 = 0.5/2 = 0.75/3 = 1/4

So cost per pencil = 0.25 : 1

Since all of the ratios are equivalent, this table is a proportional relationship.

Therefore, the number of Pencils purchased and the cost of pencils represents a proportional relationship.

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3 years ago

What is the perimeter P of △DEF to the nearest whole number?

schepotkina [342]

Answer:

perimeter of ΔDEF ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

cross-multiply

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Divide both-side by sin 49°

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We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180° (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

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This implies that length EF = 13.248

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3 years ago

a box has a length of 15 centimetres , a width of 22 centimetres, and a height of 9 centimetres.what is the surface area of the

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Answer:

1326 cm²

Step-by-step explanation:

1) Identify the equation of the surface area of a rectangular prism

$A = 2(wl + wh + hl)$

2) Input the corresponding values $l=15 cm$ ; $w=22 cm$ ; and $h=9 cm$ into the equation, and solve for the area

$A=2(wl+wh+hl)\\A=2((22)(15)+(22)(9)+(9)(15))\\A=2(330+198+135)\\A=2(663)\\A=1326 cm^{2}$

3) ∴ $A=1326cm^2$

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Step-by-step explanation:

Let's factor then solve to find the complex solutions.

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Equations that are never true:

$1.1 ~~~~ Solve : -24 = 0$

This equation has no solution.

A non-zero constant never equals zero.

Therefore your answer is $No~Solution$

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2 years ago