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Nikolay [14]
3 years ago
6

Factoring polynomials

Mathematics
1 answer:
Gnoma [55]3 years ago
4 0
Use FOIL
28x² -8xy +7xy -2y²
28x² -xy -2y²
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A science experiment calls for mixing 3 and two-thirds cups of distilled water with 1 and three-fourths cups of vinegar and Two-
Sonbull [250]

Answer: 6 and 1/12 cups

Step-by-step explanation:

For this problem, we add 3 and 2/3 + 1 and 3/4 + 2/3. We can change these mixed numbers into improper fractions to make the math easier:

11/3 + 7/4 + 2/3

Next, we can add the 11/3 and 2/3 since they have the same denominator (bottom number). This gives us 13/3.

13/3 + 7/4

Now that we have two fractions, we just add them together. This leaves us with 6 and 1/2.

If you're having trouble with adding fractions with denominators that aren't the same, here are some videos (if you can't click the link, just copy and paste into the search bar):

<u>https://youtu.be/bcCLKACsYJ0</u> -- Khan Academy

<u>https://youtu.be/5juto2ze8Lg</u> -- Math Antics

5 0
2 years ago
A rectangular painting canvas has the dimensions of 22 by 23 inches. Find the area, in square inches, of the painting. Use the f
Ulleksa [173]

Answer:

506 square inches

Step-by-step explanation:

length=22 inches

breadth=23 inches

area=length *breadth

area=22*23=506 squareinches

4 0
3 years ago
Read 2 more answers
You have 64 coins, consisting of pennies, nickels, and quarters. The value of
Romashka-Z-Leto [24]

Answer:

There are 20 pennies, 33 nickels and 11 quarters

Step-by-step explanation:

- You have 64 coins, consisting of pennies, nickels, and quarters

- The value of  the coins is $4.60

- Assume that there are p pennies, n nickles, and q quarters

∴ p + n + q = 64 ⇒ (1)

- Lets find the value of each types of coins

∵ 1 penny = 1 cent ⇒ p = p cents

∵ 1 nickel = 5 cents ⇒ n = 5n cents

∵ 1 quarter = 25 cents ⇒ q = 25q cents

∵ 1 dollar = 100 cents ⇒ $4.60 = 4.60 × 100 = 460 cents

∴ p + 5n + 25q = 460 ⇒ (2)

- You also know that you have three times as many nickels as  quarters

∴ n = 3q ⇒ (3) ⇒ the number of nickles by quarters

∵ 5n = 5(3q)

∴ 5n = 15q ⇒ (4) ⇒ the values of nickles by quarters

- Substitute (3) in equation (1) and (4) in equation (2)

∴ p + 3q + q = 64

∴ p + 4q = 64 ⇒ (5)

∴ p + 15q + 25q = 460

∴ p + 40q = 460 ⇒ (6)

- Subtract equation (5) from equation(6) to eliminate p

∴ 36q = 396

- Divide both sides by 36

∴ q = 11

- Substitute the value of q in equation (5)

∴ p + 4(11) = 64

∴ p + 44 = 64

- Subtract 44 from both sides

∴ p = 20

- Substitute the value of q in (3)

∴ n = 3(11) = 33

∴ n = 33

<em>There are 20 pennies, 33 nickels and 11 quarters</em>

6 0
2 years ago
Read 2 more answers
If the measure of angle A is 40 degrees and the length of side b is 15 inches, which can be the length of side a if it is possib
Julli [10]
This is the concept of trigonometry, to get the possible length of side a we use the sine rule which states that:
a/sin A=b/sin B=c/sin B
where;
a,b and c are the sides
A,B and C are the angles
thus the value of A could be as follows;
assuming the triangle is an isosceles triangle, the base angles will be:
(180-40)/2=70
thus;
15/sin 70=a/sin 40
a=(15sin40)/sin70
a=10.26 inches
thus the possible size of a=10.26 inches
8 0
3 years ago
The population of a country divided by its area determines its birth/death rate birth/death rate NIR. NIR. arithmetic density ar
ioda

Answer:

Arithmetic density.

Step-by-step explanation:

The correct answer is arithmetic density. This is because for a country, it is also known as real density and it's defined as the number of people per unit area of total land in that country.

Thus, the population of a country divided by its area determines its arithmetic density

6 0
3 years ago
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