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3 years ago

30 g equals how many dg

Mathematics

1 answer:

Yuri [45]3 years ago

4 0

The answer is 300 decigrams

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The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho

mestny [16]

30 ounces of the coffee John likes consists of

$0.96\cdot30=28.8$ ounces of water
$0.04\cdot30=1.2$ ounces of cocoa

To this mixture we're adding $x$ ounces of water, so that the new mix has a total volume of $30+x$ ounces and matches the composition of the coffee Lily likes. This means it would consist of

$0.973\cdot(30+x)=28.8+x$ ounces of water
$0.027\cdot(30+x)=1.2$ ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for $x$ :

$0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x$

$\implies0.39=0.027x$

$\implies x\approx14.4$

###

Just to confirm: the new mixture consists of

$28.8+14.4=43.2$ ounces of water
$1.2+0=1.2$ ounces of cocoa

giving a total volume of $43.2+1.2=44.4$ ounces of coffee, and $\dfrac{43.2}{44.4}\approx0.973$ , as required.

4 0

3 years ago

Pleaseeee helpppp i’m not sure what this one is also please explain thanksss

AURORKA [14]

I think acute but I’m really not sure

5 0

3 years ago

Joe spent 15/22 of his pocket money in a story book which costs $75. How many pocket money did he have at first?

ehidna [41]

Answer:

$51.1

Step-by-step explanation:

If Joe spent 15/22 of his pocket money in a story book which costs $75, he had $51.1 at first.

15/22 of 75 = 51.1363636364 or 51.1

6 0

4 years ago

Read 2 more answers

A right triangle has a leg that measures 15 ft and the hypotenuse measures 24 ft. What would the

Serhud [2]

Answer:

x=19

Step-by-step explanation:

First, you place the numbers in place of the variables in their relative positions using the pythagorean theorem:

$15^{2} +x^{2}=24^{2}$

Then you square the numbers that you currently have:

$225+x^{2}=576$

Then subtract 225 from both sides to isolate the x:

$x^{2} =576-225$

This gives you the equation:

$x^{2} =351$

Then take the square root of both sides which gives you:

$x=18.7349939952$

Then round to the nearest whole number which gives you x=19

3 0

3 years ago

zhenek [66]

Answer:

640 cm³

Step-by-step explanation:

Each prism has a volume of (4 cm) (4 cm) (20 cm) = 320 cm³.

There are two prisms, so the total volume is 640 cm³.

4 0

3 years ago