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2 years ago

You take out a bagel and place it in the toaster for 5 minutes the toaster uses 1050 watts/hour

Mathematics

1 answer:

Veronika [31]2 years ago

3 0

If the power consumption is linear, then the toaster consumed 1050*(5/60)=87.5 watts.

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What is the mean of the set of numbers? {–8, –4, –3, –11}

Mkey [24]

The answer is A. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. -8+-4+-3+-11=-26 -26÷4=-6.5

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2 years ago

A rectangle has an area of 99 square in. What is the length of the long side?

OLga [1]

Answer:

The longer length is either 99, 33 or 11 inches

Step-by-step explanation:

Given

$Area = 99$

Required

The length of the longer side

Area of a rectangle is:

$Area = Length * Width$

List out all possible products that give 99 [Assume the dimension are whole numbers]

$Length * Width = 99 * 1 = 99$

$Length * Width = 33 * 3 = 99$

$Length * Width = 11 * 9 = 99$

List out the longer factors

$L = \{99, 33, 11\}$

<em>Hence, the longer length is either 99, 33 or 11 inches</em>

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2 years ago

Can x in f(x) be replaced by another letter? For example f(a);Would that be the same thing?

Murljashka [212]

Answer:

Yes

Step-by-step explanation:

X is just an unknown variable which can be substituted as another variating condition. I.E Function of x can be written as Function of a. If no other condition is present.

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2 years ago

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Which description best describes the solution to the following system of equations?

matrenka [14]

Answer:the base root becomes 45

Step-by-step explanation:

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2 years ago

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8.46 If 100 is decreased by a% and the result is decreased by b%, then what is the total percent decrease (in terms of a and b)?

Marysya12 [62]

Answer:

The total percent decrease is $a+b-\frac{a b}{100}$

Step-by-step explanation:

We are given with a word problem
We are asked to find the total percentage decrease
We can do this in two steps

Step 1: Finding the two percentage decrease

Step 2: Finding their difference

Step 1 of 2

Let the decrease by a% be 100-a

Then b% decrease is

$\begin{aligned}\frac{b}{100} \times(100-a) &=\frac{100 b-a b}{100} \\\frac{100 b}{100}-\frac{a b}{100} &=b-\frac{a b}{100}\end{aligned}$

Step 2 of 2

The percentage difference between the two percentages is,

$\begin{aligned}&(100-a)-\left(b-\frac{a b}{100}\right)=100-a-b+\frac{a b}{100} \\&100-a-b+\frac{a b}{100}=100-\left(a+b-\frac{a b}{100}\right)\end{aligned}$

Since 100 is the total percent $a+b-\frac{a b}{100}$ is the percentage decrease.

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1 year ago