They equal to 180 because they are supplementary angles
Subtract 8d from both sides
21 = 12d + 5 - 8d
Simplify 12d + 5 - 8d to 4d + 5
21 = 4d + 5
Subtract 5 from both sides
21 - 5 = 4d
Simplify 21 - 5 to 16
16 = 4d
Divide both side by 4
16/4 = d
Simplify 16/4 to 4
4 = d
Switch sides
d = 4
<u>Check answer</u>
8d + 21 =12d + 5
Let d = 4
8 × 4 + 21 = 12 × 4 + 5
Simplify 8 × 4 to 32
32 + 21 = 12 × 4 + 5
Simplify 12 × 4 to 48
32 + 21 = 48 + 5
Simplify 32 + 21 to 53
53 = 48 + 5
Simplify 48 + 5 to 53
53 = 53
For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.
Your information:
I = (870)(0.08)(5)
I = 348
Add the interest to the principal for your total balance
348 + 870 = $1218 will be the total balance in the account.
Answer:
Step-by-step explanation:
Numer 1: The answer to this problem is 4 pounds
Numer 2: 13 cups
Explanation:
Four jars of sauce with 26 oz would be a total of 104 ounces
4 x 26 = 104
1 cup contains 8 ounces.
104 oz x
=13 cups
Numer 3: Since, 1 quartz = 33.307 ounces ( approx )
⇒ 3 quartz = 99.921 ounces
If the total number of players = 16,
And, the given fluid is divided equally among these players,
Then the total quantity of fluid each player get

=
=6.24505625= 6.245
Hence, each player will get around 6.245 ounces of the drink.
Number 4:
36 inches or 3 feet is the correct answer
Number 5 ;
The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...
There are:
64 boxes of pencils
1 box weighs 2.5 ounces
Find its total weight in pounds.
1 ounce = 0.0625 pounds
64 boxes * 2.5 ounces = 160 ounces
160 ounces * 0.0625 pounds/1 oz = 10 pounds.
The 64 boxes of pencils weigh 10 pounds.
Answer:
5 x^2 y^ (-3) z = ?
Step-by-step explanation:
We know the volume of a rectangular prism is given by
V = l*w*h
V = 2x^2 * y^-2 * ?
We are given the volume
V =10x^4 y^-5 z
Set the two equal
10x^4 y^-5 z = 2x^2 * y^-2 * ?
Divide each side by 2x^2 y^-2
10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2
10x^4 y^-5 z/ 2x^2 y^-2 = ?
Simplifying
10/2 * x^4/x^2 y^-5/ y^-2 z = ?
We know that a^b/ a^c = a^(b-c)
5 x^ (4-2) y^(-5 - -2) z = ?
5 x^2 y^ (-5 +2) z = ?
5 x^2 y^ (-3) z = ?