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4 years ago

Two numbers have a sum of 1,212 and a difference of 518. Which system of equations could we use to solve this problem?

Mathematics

2 answers:

Sloan [31]4 years ago

8 0

X+y =1212
x-y = 518
..............

scoundrel [369]4 years ago

5 0

Answer:

Answer is:

x + y = 1,212

x - y = 518

Step-by-step explanation:

Given that the sum of two numbers is 1,212 and their difference is 518,

To get system of equations we could use to solve this problem, we assume the two number to be x and y.

i.e first number to be x, second number to be y.

Therefore:

Two numbers have a sum of 1,212 will be expressed as x + y = 1212

While, difference of 518 will be expressed as x - y = 518

Therefore:

x + y = 1,212

x - y = 518

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Mihai a măsurat cu pasul său latura unui lot de pământ de forma unui pătrat

Nina [5.8K]

Răspuns:

63 metri.

Explicație pas cu pas:

Dat fiind :

Numărul de pași parcurși = 93

3 pași făcuți de Mihai = 2m

Prin urmare, 93 de pași sunt echivalenți cu:

(93 ÷ 3) * 2m

31 * 2 = 63 m

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Prin urmare, lungimea gardului care împrejmuiește lotul pătrat = 63m

4 0

3 years ago

One sample has a mean of M= 6, and a second sample has a mean of M = 12. The two samples are combined into a single set of score

lakkis [162]

Answer:

a) 9

b) 10

c) 8

Step-by-step explanation:

We are given the following in he question:

Mean of sample A = 6

Mean of sample B = 12

Formula:

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$\dfrac{\displaystyle\sum x_a}{n_a} = 6\\\\\dfrac{\displaystyle\sum x_b}{n_b} = 12$

a) original samples have n = 4 scores

$\dfrac{\displaystyle\sum x_a}{4} = 6,\sum x_a = 24\\\\\dfrac{\displaystyle\sum x_b}{4} = 12,\sum x_b = 48\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{4+4}=\frac{24 + 48}{4 + 4} = 9$

b) first sample has n = 3 and the second sample has n = 6

$\dfrac{\displaystyle\sum x_a}{3} = 6,\sum x_a = 18\\\\\dfrac{\displaystyle\sum x_b}{6} = 12,\sum x_b = 72\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{3+6}=\frac{18+72}{3+6} = 10$

c) first sample has n = 6 and the second sample has n = 3

$\dfrac{\displaystyle\sum x_a}{6} = 6,\sum x_a = 36\\\\\dfrac{\displaystyle\sum x_b}{3} = 12,\sum x_b = 36\\\\\text{Combined mean} = \displaystyle\frac{\sum x_a + \sum x_b}{6+3}=\frac{36+36}{6+3} = 8$

7 0

3 years ago

Melinda donated fudge for the school bake sale. She wrapped 80 pieces of fudge. Each piece of fudge weighed 1 ounce. How many po

xxMikexx [17]

Answer:

Melissa wrapped 5 pounds of fudge

Step-by-step explanation:

This is the correct question

Melinda donated fudge for the school bake sale. she wrapped 80 pieces of fudge. each piece of fudge weighed 1 ounce. how many pounds of fudge did melinda wrap?

In this question, we are asked to calculate the pounds of fudge wrapped by Melinda.

Firstly, we need to calculate the total weight of the fudge wrapped by Melinda in pounds.

From the question , we can identify that she wrapped 80 fudge with each of the fudge weighing 1 ounce each.

The total weight of all the fudge wrapped in ounces would be 80 * 1 = 80 ounces

Now, let’s convert this weight in ounces to pounds.

Mathematically, there are 16 ounces in a pound.

Hence, the weight in pounds of 80 ounces would be; 80/16 = 5 pounds

6 0

4 years ago

Read 2 more answers

What is 25-3x=10 broken down

Tema [17]

Answer:

The answer is x = 5

Step-by-step explanation:

The given equation is

25 - 3x = 10

So when we break down this equation, we will have the value of x. Now breaking down the equation and moving variables to the correct positions.

25 - 3x = 10

Moving -3x and 10 to the other sides

25 - 10 = 3x

3x = 25 - 10

3x = 15

Now dividing both sides with 3, we get the following answer

3x/3 = 15/3

x = 5

Breaking down the equation gives us the value of x, i-e 5

5 0

4 years ago

If a male student is selected at random, what is the probability the student is a freshman?

Firlakuza [10]

The probability that the student selected at random is a freshman is; 29%

<h3>How to find the Probability?</h3>

From the given table;

Total number of male students = 4 + 6 + 2 + 2 = 14

Number of freshmen students = 4 students

Thus;

Probability that the student selected at random is a freshman is;

P(Freshman | Male) = 4/14 * 100% = 28.57% ≈ 29%

Read more about Probability at; brainly.com/question/251701

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8 0

2 years ago