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3 years ago

10

Pedro grew 4 1/3 inches during a 3 ½ month growth spurt. If his growth spurt continued at the same rate how much did he grow in

one month?

1 answer:

borishaifa [10]3 years ago

6 0

4 1/3 divided by 3 1/2. = 1.23

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⦁ Determine if the equation represents a direct variation. .8x = 1.6y ⦁ Suppose y varies directly with x. Write a direction vari

Mkey [24]

Part A:

Given that

$0.8x=1.6y\Rightarrow x= \frac{1.6}{0.8} y=2y$

Thus, x = ky where k = 2.

Therefore, the given equation is a direct variation.

Part B:

If y varies directly as x, then y = kx.

Given that y = 5 when x = 2, then

$5=2k \\ \\ \Rightarrow k=\frac{5}{2} =2.5 \\ \\ \Rightarrow y=2.5x$

When x = 12, y = 2.5(12) = 30.

Part C:

If y varies directly as x, then y = kx.

Given that y = 9 when x = -6, then

$9=-6k \\ \\ \Rightarrow k=-\frac{9}{6} =-\frac{3}{2} \\ \\ \Rightarrow y=-\frac{3}{2}x$

It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is $y=-\frac{3}{2}x$

Part 4:

If y varies directly as x, then y = kx.

Given that y = 1 when x = -2, then

$1=-2k \\ \\ \Rightarrow k=-\frac{1}{2} \\ \\ \Rightarrow y=-\frac{1}{2}x$

It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.

8 0

3 years ago

Read 2 more answers

108x25^2divided by<br>2^6 x 5^2

My name is Ann [436]

Answer:

108 x 25² divided by 2⁶ x 5² is equal to $42\frac{3}{16}$

Step-by-step explanation:

Given;

108 x 25² divided by 2⁶ x 5²

The expression is simplified as follows;

$\frac{108\times 25^2}{2^6 \times 5^2} = \frac{108\times 625}{64\times25} =\frac{675}{16} = 42\frac{3}{16}$

Therefore, 108 x 25² divided by 2⁶ x 5² is equal to $42\frac{3}{16}$

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3 years ago

Carole has $53.95 and washes cars for $8 each. Carole wants to attend a musical that costs $145.75.

yawa3891 [41]

Answer:

53.95+8x ≥145.75

Carole needs to wash at leas 12 cars

Step-by-step explanation:

A. 53.95+8x ≥145.75

subtract 53.95

8x ≥91.8

divide by 8

x ≥11.475

round

Carole needs to wash at leas 12 cars

b. what is the solution?

6 0

3 years ago

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If a number is a nagative, then it's absolute value is nagative?

Olenka [21]

No. The absolute value of any number is always positive, as that is its 'absolute value'.

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3 years ago

What is the equation of the line in slope intercept form

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Answer:

lope-intercept form, y=mx+b, of linear equations

Step-by-step explanation:

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3 years ago