What is 0.4 x 0.4 x 0.4 in exponential form?

Answers

Answer 1

Answer: should the answer be 0.4^3?

Answer 2

Answer: it would be 0.4 to the power (exponent) of 3

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An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. What are the dimensions of the lake?

Answers

The area is width times length, so you'd divide the area by the width. This is 9/20 divided by 1/5. When dividing fractions, you flip the second number then divide straight across. This would be 9/20 x 5/1. You'd get 45/20, or in mixed number form, 2 and 1/4.

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5. Pls help ASAP btw, the answer isn’t -12/19 or 12/19

Answers

Answer:

$B - A = -6$

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

$x + 3y = -5$

Subtract x from both sides

$x - x + 3y = -5 - x$

$3y = -5 - x$

Divide both sides by 3

$(3y)/(3) = -(5)/(3) - (x)/(3)$

$y = -(5)/(3) - (x)/(3)$

The slope of the line is the coefficient of x

Slope = $- (1)/(3)$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- (1)/(3)$

Having calculated the slope, next is to calculate the equation of the line using the following formula;

$m = (y - y_1)/(x - x_1)$

Where m is the slope; m = $- (1)/(3)$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-(1)/(3) = (y - 2)/(x - -7)$

$-(1)/(3) = (y - 2)/(x +7)$

Cross Multiply

$-1(x+7) = 3(y-2)$

Open brackets

$-x - 7 = 3y - 6$

Add x to both sides

$x - x - 7 = 3y - 6 + x$

$-7 = 3y - 6 +x$

Add 6 to both sides

$-7 + 6 = 3y -6 + 6 + x$

$-1 = 3y + x$

Multipby both sides by -3

$-3(-1) = -3(3y + x)$

$3 = -9y - 3x$

$-9y - 3x = 3$

$-3x - 9y = 3$

Comparing the above to Ax + By = 3

$Ax = -3x\nA = -3$

$By = -9y\nB = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

Suppose that the grade 7 students expect to sell between 100 and 150 hot dogs how many packages of 12 wieners and 8 buns should the students buy if they don't want any leftovers justify your answer

Answers

The students should buy 144 packages of 12 wieners and 8 buns.

What is HCF?

The highest common factor is defined as the set of numbers with the highest common multiple. The highest positive integer with more than one factor in the set is HCF.

We have been given that the grade 7 students expect to sell between 100 and 150 hot dogs.

We have to determine the common multiple between 100 and 150

Here are multiples of 8:

8,16,24,32,40,.... , 136, 144

Here are multiples of 12:

12,24,36,48....., 132, 144

The highest common factor is 144 which is lower than 150 hotdogs, so it is 144.

Therefore, the students should buy 144 packages of 12 wieners and 8 buns.

Learn more about the highest common factor here:

https://brainly.in/question/3803222

#SPJ2

you have to find the common multiple between 100 and 150

multiples of 8: 8,16,24,32,40,48,56,64,72,80,88,96,104,112,120 ,128 , 136, 144

multiples of 12: 12,24,36,48,60,72,84,96,108, 120, 132, 144

The GCL (Greatest common multiple) is 144 that is lower than 150 hotdogs, so it is 144.
12 packs of weiners, 18 packs of buns.

24 red marbles is 40% of ____ marbles