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gizmo_the_mogwai [7]
3 years ago
10

I had four numbers: 12, 8, 4, and ????? However, I remember that their average was 11. Please, help me to remember the number th

at I forgot!!! The number that our old math teacher forgot is
Mathematics
2 answers:
Anestetic [448]3 years ago
5 0

Answer:

The number was 20

Step-by-step explanation:

As the average is 11 and the numbers are 4, so the total sum of numbers will be 11X4=44. now the sum of three numbers are (20+8+4)=24. So the last number will be= (44-24)=20. :)

dolphi86 [110]3 years ago
5 0

Answer:

20, 12,8,4 average out to 11

Step-by-step explanation:

omni average calculator on google will help :)

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Find the simple interest.
Mademuasel [1]
We need to compute the exact number of days of the loan.

Given:
Loan: 1,870
rate: 11%
term: Oct. 5 to Jan 16.

Oct 5-Oct 31: 26 days
Nov: 30 days
Dec: 31 days
Jan 16: 16 days.
total number of days: 103 days.

Interest = Principal * rate * term
Interest = 1870 * 0.11 * 103/365
Interest = 58.05

Given:
Promissory note $5,380
rate 6.2%
term: July 15 to Dec. 28

July 15 - 31 = 16 days
August: 31 days
September: 30 days
October: 31 days:
November: 30 days
December: 28 days
Total number of days is 166 days

Interest = Principal * rate * term
Interest = 5,380 * 0.062 * 166/365
Interest = 151.70
8 0
3 years ago
Determine the slope of the line given the graph 3,-3 and 0,2
BigorU [14]

Answer:

\displaystyle m = \frac{-5}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

Coordinate Planes

  • Reading a coordinate plane
  • Coordinates (x, y)

Slope Formula:                                                                                                          \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify points</em>

Point (0, 2)

Point (3, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{2 + 3}{0 - 3}
  2. Simplify:                                                                                                             \displaystyle m = \frac{-5}{3}
7 0
3 years ago
your test scores in one class are 76 and 84 what possible scores can you earn on your next test to have a test average between 8
Orlov [11]

you have to get a 80 i think

6 0
3 years ago
Given that 8 bolts and 6 nuts weigh 138grams and 3 bolts and 5 nuts weigh 71 grams. Find the weight of;(a)one bolt and one nut (
Viktor [21]

Answer:

(a) Weight of a bolt = 12 grms and weight of a nut is 7 gms. Weight of one bolt and one nut = 12 + 7 = 19 gms

(b) 69 gms

(c) 209 gms

Step-by-step explanation:

This problem relates to solution of 2 unknowns using simultaneous equations.

Let B be the weight of a single bolt and N be the weight of a single nut

Since 8 bolts and 6 nuts weigh 138 grams we get one of the equations as

8B + 6N = 138    (1)

The second equation in the unknowns is

3B + 5N = 71  (2)

To solve, we eliminate one of the unknowns by making its coefficients the same and subtracting one from the other

Multiplying (1) by 5 ===>   40B + 30N = 690   (3)

Multiplying (2) by 6 ===>  18B + 30N = 426    (4)

(3) - (4) eliminates the N variables and yields

22B = 264   ==> B = 264/22 ==> B = 12

So the weight of a single bolt is 12 grams

We can find the weight of a single nut by substituting this value of B into any of the equations (1), (2), (3) or (4) and solving for N. Let's use equation (2)

3(12) + 5N = 71 ==>  36 + 5N = 71 ==> 5N = 71-36 = 35 ==>  N= 7

So the weight of a single nut is 7 grams

Weight of one bolt and one nut is the sum of the above individual weights = 12 + 7 = 19 gms

To solve (b) and (c) we could set up two other equations and plug in values for B and N

(b) 4B + 3N = 4.12 + 3.7 = 69
However, an alternate way is to perceive that 4B + 3N is exactly half of 8B + 6N so the value of that must be 138/2 = 69

(c) If we add both equations (1) and (2), we get

11B + 11N = 138 + 71 = 209 which is the equation for the total weight of 11 bolts and 11 nuts

5 0
1 year ago
Juan ordered 20 pizzas for a party. 45% of the pizzas have 8 slices each. The remaining 55% of the pizzas have 12 slices each. C
Mama L [17]

Total number of pizzas Juan ordered 20

Since, 45\% of pizzas have 8 slices.

Therefore, number of pizzas with 8 slices are: 45\%\times(20)

                                                                                          =\frac{45}{100} \times(20)

                                                                                          =\frac{45}{10} \times(2)

                                                                                          =\frac{90}{10}

                                                                                          =9 pizzas


Also, since, 55\% of pizzas have 12 slices.

Therefore, number of pizzas with 12 slices are: 55\%\times(20)

                                                                                          =\frac{55}{100} \times(20)

                                                                                          =\frac{55}{10} \times(2)

                                                                                          =\frac{110}{10}

                                                                                          =11 pizzas


Now, there are 9 pizzas with 8 slices and 11 pizzas with 12 slices.

Therefore, total number of slices of pizza are: =(9)(8)+(11)(12)

                                                                            =72+132

                                                                            =204 slices

5 0
3 years ago
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