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4 years ago

6(4.5y – 12) = 9 can someone help me anwser this please

Mathematics

1 answer:

quester [9]4 years ago

3 0

Answer: y=3

Step-by-step explanation: 6(4.5y−12)=9

Step 1: Simplify both sides of the equation.

6(4.5y−12)=9

(6)(4.5y)+(6)(−12)=9(Distribute)

27y+−72=9

27y−72=9

Step 2: Add 72 to both sides.

27y−72+72=9+72

27y=81

Step 3: Divide both sides by 27.

27y/27 =81/27

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\frac{1}{5}k-9=\frac{3}{5}k-7

Oksi-84 [34.3K]

let start by multiplying both sides by the LCD of all denominators, in this case that'd be 5, to do away with the denominators.

$\bf \cfrac{1}{5}k-9=\cfrac{3}{5}k-7\implies \stackrel{\textit{multiplying by }\stackrel{LCD}{5}}{5\left( \cfrac{1}{5}k-9 \right)=5\left( \cfrac{3}{5}k-7 \right)}\implies k-45=3k-35 \\\\\\ -45=2k-35\implies -10=2k\implies \cfrac{-10}{2}=k\implies -5=k$

6 0

3 years ago

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Nadya [2.5K]

Answer:

ok so 360-y=503

Step-by-step explanation:

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3 years ago

The square with a side length (x + 3) and an equilateral triangle with side lengths (3x-1) have the same perimeter what is the v

julia-pushkina [17]

Answer:

x = 3

Step-by-step explanation:

Side lenght of square = (x + 3)

Side length of equilateral triangle = (3x - 1)

It is Given that:

Perimeter of square = Perimeter of equilateral triangle

4 times side length of square = 3 times side length of equilateral triangle.

$\therefore \: 4(x + 3) = 3(3x - 1) \\ \\ \therefore \: 4x + 12 = 9x - 3 \\ \\ \therefore \:12 + 3 = 9x - 4x \\ \\ \therefore \:15 = 5x \\ \\ \therefore \:x = \frac{15}{5} \\ \\ \huge \red{ \boxed{\therefore \:x = 3}}$

3 0

4 years ago

You are renting a beach house for the summer. The cost of renting the beach house plus the one-time security deposit is represen

sveta [45]

Answer:

The security cost is 575

Step-by-step explanation:

Given

$y = 151x + 575$

x = days

y = cost

Required

Determine the security deposit

From the equation, we understand that

x represent days:

This implies that

151x represent the payment for x days.

<em>So, the security cost is 575</em>

7 0

3 years ago

A hollow cylindrical iron pipe with external and internal radii 8cm and 6cm respectively and length 35cm is melted and recast in

marusya05 [52]

Answer: length of wire = 500cm

Step-by-step explanation:

We would determine the volume of material used in making the hollow cylindrical iron pipe by subtracting the volume of the inner pipe from the volume of the outer pipe.

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Volume of inner pipe = π × 6² × 35 = 1260π

Volume of outer pipe = π × 8² × 35 = 2240π

Volume of material used in making the hollow cylindrical iron pipe is

2240π - 1260π = 980πcm³

The solid wire made is cylindrical and has a thickness of 2.8cm. This is the diameter. It means that the radius of the wire is 2.8/2 = 1.4cm

Volume of wire = 980πcm³

Applying the volume of cylinder formula, it becomes

980π = π × 1.4² × h

where h = length of wire

h = 980/1.4² = 500cm

3 0

3 years ago