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4 years ago

The variable Z is directly proportional to X. when X is 15, Z has the value of 45. what is the value of Z when X=23

1 answer:

8 0

$If\ Z\ is\ directly\ proportional\ to\ X\ then\ \frac{Z}{X}=const.\\------------------------\\X=15\ and\ Z=45\\\\X=23\ and\ Z=?\\\\\frac{Z}{23}=\frac{45}{15}\to\frac{Z}{23}=3\ \ \ \ |multiply\ both\ sides\ by\ 23\\\\\huge\boxed{Z=69}$

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3 years ago

What is the solution to the system of equations ? y=5x+2 3x=-y+10

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Answer:

Solution is (1,7).

Step-by-step explanation:

We need to find the solution of the system of following equations.

y= 5x + 2 eq(1)

3x = -y +10 eq(2)

We will solve the equations using Substitution method to find the values of x and y

we put value of y from eq (1) into eq (2), The eq(2) will be:

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4 years ago

Americans eat an average of 100 acres of pizza per year. That is equivalent to 4,356,000 square feet of pizza per year. How is t

Maru [420]

Answer:

D. $4.356 * 10^6$ ft²

Step-by-step explanation:

Scientific notation of a number is expressed in the following form, $a * 10^b$

Where,

a = decimal number (1 ≤ |a| < 10)

b = the power of 10 whereby the scientific notation is equivalent to the original number.

To express 4,356,000 square feet in scientific notation, do the following:

1. Move the decimal point to the left up to the last non-zero digit = a = 4.356

2. Since we moved the decimal point by 6 decimal places, therefore, b = 6

3. Substitute the values of the variables into

Thus:

4,356,000 = 3. Substitute the values of the variables into

a * 10^b

Thus:

4,356,000 = 4.356 * 10^6

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3 years ago