MATHEMATICS HIGH SCHOOL

James is painting a wooden slat fence he had installed around his backyard. The fence has a total of 180 wooden slats. Suppose James is able to paint 2 slats every 5 minutes. His friend Gabe offers to help him. Together, they finish painting the fence in 3 hours 20 minutes.At what rate did Gabe paint the fence?

Answers

Answer 1

Answer:

Answer:

1 slat every 2 minutes.

Step-by-step explanation:

James is able to paint 2 slats every 5 minutes.

James and Gabe together are able to paint the whole fence (180 slats) in 3 hours and 20 minutes (200 minutes)

The rate of 180 slats in 200 minutes is equal to 18 slats in 20 minutes, and is equal to 9 slats in 10 minutes.

The rate of James is 2 slats in 5 minutes, which is equal to 4 slats in 10 minutes.

Subtracting the rate of James and Gabe together (9 slats in 10 minutes) by the rate of James alone (4 slats in 10 minutes), we have the rate of Gabe, which is 5 slats in 10 minutes, or 1 slat in 2 minutes.

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Find all the real square roots of 0.0064

Answers

$√(0.0064)$
=0.08

The square root of $√(0.0064)$ is 0.08

You can check by doing the opposite operation to square root, which is squaring.
$0.08^(2)$
=0.0064

What is the answer? Pls helpp

Answers

There would be 18 separate outcomes, since the spinner has three numbers and the dice has six numbers. Since the spinner has all odd numbers then an even number must be rolled on the dice for the answer to be odd. And since half of the numbers on a dice are even then half of the answers will be odd, aka 50%

Is it right The question
The function f(t) = t2 + 4t − 14 represents a parabola.

Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)

Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)

Part C: Determine the axis of symmetry for f(t). (2 points)

Answers

f(t) = t2 + 4t − 14

y + 14 + 4 = ( t2 + 4t +4)

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The area of a rectangle is 240 in squared. the ratio of the length to the width is 5 : 3. find the length and the width.

Answers

hey user!!

your answer is here...

given the ratio between the Length and breadth (width) of the rectangle is 5 : 3

let the Length and breadth of the rectangle be 5x and 3x approximately.

area of the rectangle = 240in²

therefore l × b = 240in²

==> 5x × 3x = 240in²

==> 15x² = 240in²

==> x² = 240/15

==> x² = 16

==> x = √16

==> x = 4in

hence, length of the rectangle = 5x = 5 × 4 = 20in

breadth of the rectangle = 3x = 3 × 4 = 12in

cheers!!

Please choose the answer that describes the scientific notation for 5,098,000.a. 5.098 108
b. 5.098 75777
c. 5.098 106
d. 5.098 107

Answers

Scientific notation is the representation of a number in a power of ten, with a sequence of digits placing the comma after the first digit, and the power or then that is mathematically consistent with the number. For example 400 is 4.00 * 10^2; 3100 is 3.100 * 10^4; 13421 = 1.3421 * 10 ^4. It is important that you have only one digit before the comma. So, 5,098,00 is 5.098 * 1,000,00 = 5.098 * 10^6. The answer is the option c. 5.098 * 10^6.

Find all the real cube roots of 0.000027.A. 0.0009
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C. 0.0009 and -0.0009
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