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2 years ago

The sixth graders have a fundraising goal of $480. They have reached 3/4 of their goal so far. How much money have they raised?

Mathematics

2 answers:

Elena L [17]2 years ago

8 0

Answer:

360

Step-by-step explanation:

divide 480 by 4 to figure out what 1/4 is and then multiple 120 by 3.

melisa1 [442]2 years ago

6 0

Answer:

$360

Step-by-step explanation:

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The total mass of two packets of fruit is 10.5 kg. One packet of fruit is 3 kg lighter than the other. Find the mass of the heav

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(3+x)+x=10.5

Simplify

2x = 7.5

x = 3.75

Plug in for x

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2 years ago

Find the value of x (3/5)^x(5/3)^2x=125/27

lesya692 [45]

Given:

The equation is

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

To find:

The value of x.

Solution:

We have,

$\left(\dfrac{3}{5}\right)^x\left(\dfrac{5}{3}\right)^{2x}=\dfrac{125}{27}$

$\left(\dfrac{5}{3}\right)^{-x}\left(\dfrac{5}{3}\right)^{2x}=\dfrac{5\times 5\times 5}{3\times 3\times 3}$ $[\because \left(\dfrac{a}{b}\right)^{-m}=\left(\dfrac{b}{a}\right)^{m}]$

$\left(\dfrac{5}{3}\right)^{-x+2x}=\dfrac{5^3}{3^3}$ $[\because a^ma^n=a^{m+n}]$

$\left(\dfrac{5}{3}\right)^{x}=\left(\dfrac{5}{3}\right)^{3}$

On comparing the exponents, we get

$x=3$

Therefore, the value of x is 3.

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2 years ago