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2 years ago

Which equations have the same value as 3/5 (30x-15)=72 select 3

Mathematics

1 answer:

const2013 [10]2 years ago

5 0

Answer:

x=4.5

Step-by-step explanation:

Given the equation $\frac{3}{5}(30x-15)=72$ , we simplify as:

$\frac{3}{5}(30x-15)=72\\\\18x-9=72$

#We further simplify as multiples of 9(divide by 9 to solve for x):

$18x-9=72\\\\2x-1=8\\\\2x=9\\\\x=4.5$

Hence, from our simplification the equation has the same value as x=4.5

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A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?

vekshin1

Answer:

48 pieces are cut.

Step-by-step explanation:

1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.

5 0

2 years ago

How much wrapping paper is needed to cover the gift box shown below?<br> SA = 2Lw + 2Lh + 2wh

Brrunno [24]

Answer:

528 square inches

Step-by-step explanation:

SA = 2(10·16) + 2(10·4) +2(4·16)

= 2(160)+2(40)+2(64)

= 320 + 80 + 128

= 528 square inches

8 0

2 years ago

You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers abou

Naddik [55]

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls = 4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

3 gallons----------960

5 0

2 years ago

please help me :( I need help

slava [35]

Answer:

Step-by-step explanation:

Lines l and m are the parallel lines and 't' is a transversal line,

Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]

∠5 ≅ ∠7 [Vertical angles theorem]

∠1 ≅ ∠7 [Transitive property]

Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]

4 0

2 years ago

Can someone please help me with my maths question

DIA [1.3K]

Answer:

$a. \ \dfrac{625 \cdot m}{27 \cdot n^{11}}$

$b. \ \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

Step-by-step explanation:

The question relates with rules of indices

(a) The give expression is presented as follows;

$\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}$

By expanding the expression, we get;

$\dfrac{m^3 \times n^{-8} \times 5^4 \times m^4}{\left 3^3 \times m^6 \times n^3}$

Collecting like terms gives;

$\dfrac{m^{(3 + 4 - 6)} \times 5^4}{ 3^3 \times n^{3 + 8}} = \dfrac{625 \cdot m}{27 \cdot n^{11}}$

$\dfrac{m^3 \times \left (n^{-2} \right )^4 \times (5 \cdot m)^4}{\left (3 \cdot m^2 \cdot n \right )^3}= \dfrac{625 \cdot m}{27 \cdot n^{11}}$

(b) The given expression is presented as follows;

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \div (x \cdot y^n)^4$

Therefore, we get;

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n}$

Collecting like terms gives;

$x^{3 \cdot m + 2 - 4} \times \left (y^{3 \cdot n - 3 -4 \cdot n}} \right ) = x^{3 \cdot m - 2} \times \left (y^{ - 3 -n}} \right ) = x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right )$

$x^{3 \cdot m - 2} \div \left (y^{ 3 + n}} \right ) = \dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

$x^{3 \cdot m + 2} \times \left (y^{n - 1} \right )^3 \times x^{-4} \times y^{-4 \cdot n} =\dfrac{x^{3 \cdot m - 2}}{y^{ 3 + n}}$

4 0

2 years ago