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3 years ago

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Which answer choice shows 21.97 written in expanded form? A. 2 + 1 + 9 + 7 B. 20 + 1 + 0.9 + 0.7 C. 20 + 10 + 0.9 + 0.07 D. 20 +

1 + 0.9 + 0.07

1 answer:

Simora [160]3 years ago

6 0

Answer:

20 + 1 + 0.9 + 0.07

Step-by-step explanation:

Given the number 21.97 ;

To wite in expanded form:

Tens ___ Unit ____ tenth ____ hundredth

2_______ 1 _______ 9_________ 7

2 = 20

1 = 1

9 = 0.9

7 = 0.07

Hence,

20 + 1 + 0.9 + 0.07

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=================================================

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-----------------

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3 years ago

the quantity y varies directly as x and inversely as z. when x is 10 and z is 4, y is 15. what is y when x is 20 and z is 6? 1)

lubasha [3.4K]

Answer:

Option 2nd is correct

y = 20

Step-by-step explanation:

Joint variation says that:

if $y \propto x$ and $y \propto \frac{1}{z}$

⇒ $y \propto\frac{x}{z}$

then;

equation is in the form of :

$y = k \cdot \frac{x}{z}$ where, k is the constant of variation.

As per the statement:

the quantity y varies directly as x and inversely as z.

then by definition we have;

$y = k \cdot \frac{x}{z}$ .....[1]

When x = 10, z = 4 and y = 15

Substitute these in [1] we have;

$15 = k \cdot \frac{10}{4}$

⇒ $15 = 2.5k$

Divide both sides by 2.5 we have;

6 = k

or

k = 6

then;

$y = 6 \cdot \frac{x}{z}$

we have to find y, when x = 20 and z = 6

Substitute these we have;

$y = 6 \cdot \frac{20}{6}= 20$

⇒y = 20

Therefore, the value of y = 20

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