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3 years ago

I make 2.5kg of popcorn and eat 750g of it while 750g of it while watching a movie . How much popcorn do i have left?

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

5 0

Answer:

1,75 kg

Explanation:

1 kg = 1000 g

2.5 kg = 2.5 × 1000 g = 2500 g

2500 g - 750 g = 1750 g

1750 g = 1750 ÷ 1000 kg = 1.75 kg

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Why does using FOIL on polynomial expressions match so closely to integer multiplication?

dezoksy [38]

FOIL is a mnemonic rule for multiplying binomial (that is, two-term) algebraic expressions. 
FOIL abbreviates the sequence "First, Outside, Inside, Last"; it's a way of remembering that the product is the sum of the products of those four combinations of terms. 

For instance, if we multiply the two expressions 
(x + 1) (x + 2) 
then the result is the sum of these four products: 
x times x (the First terms of each expression) 
x times 2 (the Outside pair of terms) 
1 times x (the Inside pair of terms) 
1 times 2 (the Last terms of each expression) 
and so 
(x + 1) (x + 2) = x^2 + 2x + 1x + 2 = x^2 + 3x + 2 
[where the ^ is the usual way we indicate exponents here in Answers, because they're hard to represent in an online text environment]. 

Now, compare this to multiplying a pair of two-digit integers: 
37 × 43 
= (30 × 40) + (30 × 3) + (7 × 40) + (7 × 3) 
= 1200 + 90 + 280 + 21 
= 1591 

The reason the two processes resemble each other is that multiplication is multiplication; the difference in the ways we represent the factors doesn't make it a fundamentally different operation.

7 0

3 years ago

If (angle)A and (angle)B are supplementary, and m(angle)A = 57°, what is m(angle)B?

Sedbober [7]

Answer:

123°

Step-by-step explanation:

Supplementary angles add up to be 180 degrees.

This means angles A and B will add up to be 180 degrees.

We can find the measure of angle B by subtracting 57 from 180

180 - 57

= 123

So, the measure of angle B is 123 degrees

7 0

3 years ago

Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of

lora16 [44]

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 62 - 1 = 61

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 61 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.67

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.67\frac{15000}{\sqrt{62}} = 3181$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

6 0

2 years ago

What is equivalent to 24b-34ab

jarptica [38.1K]

This is what I got as the answer, 2b x (12-17a)

6 0

3 years ago

If a1 = 9 and and an-1 - 5 then find the value of a6.

SCORPION-xisa [38]

Answer:

a1 = 6 and an = an-1 - 5

a2 = a2-1 - 5 = a1 - 5 = 1

a3 = a3-1 - 5 = a2 - 5 = -4, etc

Step-by-step explanation:

8 0

2 years ago