MATHEMATICS HIGH SCHOOL

If 3 times a certain number is increased by 4 the result is 28. What is the number?If x is "the number," which of the following equations could be used to solve for the number?

3x + 4 = 28

3(x + 4) = 28

3x = 4 + 28

Answers

Answer 1
Answer:

Answer:

A.3x+4=28

x=8

Step-by-step explanation:

Let x be the number.

We have been given that 3 times a certain number is increased by 4.

3 times the number will be 3x and after increasing it by 4 will make our number 3x+4.

We are also told that the result of the above process is 28.

So we can set our given expression equal to its result as:

3x+4=28

Therefore, option A is the correct choice.

Let us solve for x.

3x+4-4=28-4

3x=24

(3x)/(3)=(24)/(3)

x=8

Therefore, the number is 8.
Answer 2
Answer: The first equation would make the most sense. 

if you used the second it would not be aligned with what the original question is asking, if we expand this it would read 3x+12=28

the last equation is also incorrect, because the result of the equation would be 32 not 28. 

To solve this problem just use algebra to simplify, 

3x+4=28
3x=24
x=8

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Find the greatest number you can add to 4315 without having to regroup

Answers

  4315
+5684
  9999    So 5684 is the greatest number you can write.

Final answer:

The greatest number that can be added to 4315 without having to regroup is 5644. When added together, the sum doesn't result in a carryover to the next place value.

Explanation:

In Mathematics, particularly arithmetic, regrouping is the process of making groups of tens when adding or subtracting two numbers. When the question asks for the greatest number that can be added to 4315 without having to regroup, we are essentially looking for a number that when added to 4315 doesn't result in a carryover to the next place value.

Considering the number 4315, you would notice that the units digit is 5, the tens digit is 1, the hundreds digit is 3, and the thousands digit is 4. This means for each position we can add a number up to 9 without needing to regroup. Hence, the greatest number you can add to 4315 without needing to regroup would be 5644 (which gives 9 in the units place, 1+5=6 in the tens place, 3+4=7 in the hundreds place, and 4+4=8 in the thousands place).

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What two numbers have a sum of 17 and a difference of 3

Answers

(7 & 10), bc 10-7=3 and 10+7=17

Find the mode of the set represented by the following stem-and-leaf plot.1,
74,
38,
4

Answers

The mode of the set represented in the stem and leaf plot is 74.

What is Mode?

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

In order to find the mode, we have to first write the data sets in an arranged manner.

The data from the first row of stem and leaf are,

51, 51, 52, 56

The data from the second row are,

60, 61, 63

The data from the third row are,

74, 74, 74, 78

The data from the forth row are,

81, 81, 82, 89, 89

The whole data are,

51, 51, 52, 56, 60, 61, 63, 74, 74, 74, 78, 81, 81, 82, 89, 89

The most repeated element = 74, repeated 3 times

So mode = 74

Hence the mode is 74.

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The mode is 74 because it is the number that appears most often.

Complete each ordered pair so that it is a solution of the given linear equation. x minus 5 y equals negative 3​; left parenthesis comma 1 right parenthesis comma left parenthesis 7 comma right parenthesis

Answers

Answer: The ordered pairs are (2,1) and (7,2).

Step-by-step explanation:

Since we have given that

x-5y=-3

if y=1

we get that

x-5y=-3\n\nx-5(1)=-3\n\nx-5=-3\n\nx=-3+5\n\nx=2

If x= 7, we get that

x-5y=-3\n\n7-5y=-3\n\n-5y=-3-7\n\n-5y=-10\n\ny=(10)/(5)\n\ny=2

So, the ordered pairs are (2,1) and (7,2).

If the perimeter of an equilateral triangle is 24 inches, find a side of the triangle

Answers

Divide 24/3 since it's an equilateral triangle, all sides and angles are equal. THe answer is 8.
It is 8 because you take 24 and divide it by 3

Please help me with this asap!! I need help

Answers

Answer:

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Step-by-step explanation:

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