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inysia [295]
3 years ago
15

When you write a numerical expression how can you show which operation to do it first?

Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

parentheses come first

Step-by-step explanation:

Parentheses are symbols that group things together. This becomes very important in numerical expressions, because operations inside parentheses are always completed first when evaluating the expression. Let's review the order of operations. You can see that, according to the order of operations, parentheses come first.

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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
What nis the answer to n divided by 4 = 16
chubhunter [2.5K]

Answer:

Step-by-step explanation:

n/4 = 16

n = 16 × 4

n = 64

hope this helps

plz mark it as brainliest

4 0
3 years ago
Read 2 more answers
Change the following decimal numbers to percents. .25 .278 2.9 3.0 0.67
umka2103 [35]
25=2,500, 278= 27800%, 2.9=290, 3.0=300, 0.67= 67
3 0
3 years ago
Read 2 more answers
A teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
OleMash [197]

Answer:

No, because the probabilities of drawing a vowel versus a constant are not equally likely.

Step-by-step explanation:

Each number in a random number generator is equally likely.  If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.

In reality, 5 of the 26 letters are vowels (not including y).  The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants.  This will be a fair representation.

6 0
3 years ago
It is clear that a large survey is an appropriate method for a study of marriage patterns among college students. What will the
Ulleksa [173]

Answer:

Here the sample is the college students, and the researcher want's to do a survey to obtain information about marriage patterns.

Then, the ideal sample will be constituted of students of both genders, of different ideologies, of different social classes, of different religions, etc.

Then the thing that the researcher needs to do is:  

Define the size of the sample

Assign to each student a unique number.

using a random number generator,  generate enough different numbers to fill the sample.

Each of these numbers corresponds to a unique student, so now you have a complete sample of random selected students.

This sample can not be biased in any way.

7 0
3 years ago
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