Order of Operations


If you do not use the proper order of operations, you will not get

the correct answer.

Write which operation should be done first.


1.6 + 3 × 2

2.13 – 1 + 4 ÷ 2

3.5 × (7 – 2) + 1

4.(19 + 23) – (4 × 5)


For questions 5 through 8, evaluate the expression for x = 6 and y = 17.


5.4x + 5y

6.12x + (20 – y)

7.x ÷ 3 + y

8.4y ÷ 2 + (8x + 10)

9.Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts

for her family, how much money does she have left?




10.Carlos solved 20 – (2 × 6) + 8 ÷ 4 = 29. Is this the correct answer?

Depending on where it is in the number, each digit has a different value, which is referred to as value. We figure it out by multiplying the digit's place value by its face value. For illustration: If we take 45 into account. Here, the fourth digit is in the tens column.

Value in mathematics is a number that represents the outcome of a computation or function. In the aforementioned example, you may inform your teacher that 5 + 6 Equals 30 or that x + y = 9 if x = 6 and y = 3. A variable or constant can also be referred to as a value.

X has a value of 3. The following is a list of the arguments made for each step.

Adding more line segments

Rule of substitution (b)

c) Simplifying by incorporating related terms

d) Compiling terms for lies

e) Multiplying each side by 8

AB = 2x

BC = 6x + 8

AC = 32

AB plus BC equals AC. (Extension rule)

addition of a line's individual segments

2x + 6x + 8 = 32 (Substitution rule) (Substitution rule)

replacing AB, BC, and AC in the formula AB + BC = AC

8x + 8 = 32 (Simplification) (Simplification)

2x + 6x + 8 = 32, simplified adding comparable terms

8x = 24 (Assembling similar terms)

8x = 32 - 8

8x = 24

x = 3 (Divide both sides by 8) (Divide both sides by 8)

8x / 8 = 24/8

x = 3

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Answer:Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation? segment EG ≅ segment E prime G prime. The slope of segment EF is the same as the slope of segment E prime H prime.

Step-by-step explanation:

approximately 7 years old

Step-by-step explanation:

From the figure, angle ACB anf angle BCD are complementary, that is,

∠ACB + ∠BCD = 90°

Replacing with data

61° + ∠BCD = 90°

∠BCD = 90° - 61°

∠BCD = 29°

From the picture, angle BCD and angle FCE are vertical angles, then they are congruent, which means that:

∠FCE = ∠BCD = 29°

Angle FCA is a right angle, that is, ∠FCA = 90°. Therefore:

∠FCE + ∠FCA = ∠ACE

29° + 90° = ∠ACE

119° = ∠ACE

Answer:

an=7/2

Step-by-step explanation:

an=a(n-1)+15

given a1=8

multiply; a(n-1)

a(n-1)=an-a1

enter an-a1 in the equation

an=an-8+15

an=an+7

collect like terms;

an-an=(-7)

divide by negative both side

an-an/(-)=(-(-7)

2an=7

divide by 2 both side

2an/2=7/2

therefore the answer is an=7/2

Answer:

She has 3 dresses for sure! But I don't know the percentage!

14 and 3 are two numbers for multiplication and addition.

What is multiplication ?

The two numbers are 14 and 3.

   14 + 3 = 17

   14 *  3 = 42

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The equations that represent proportional relationships are:

A. 2x/12 = 3x/18

C. 4/6 = 10/15

E. 5/5 = 11/11

To determine if an equation represents a proportional relationship, ensure each side of the equation gives the same value when simplified. If they do not have the same value, then the equation does not represent a proportional relationship.

A. 2x/12 = x/6

3x/18 = x/6

Therefore, 2x/12 = 3x/18 represents a proportional relationship.

B. 3/6 = 1/2

6/3 = 2

Therefore, 3/6 = 6/3 does not represent a proportional relationship.

C. 4/6 = 2/3

10/15 = 2/3

Therefore, 4/6 = 10/15 represents a proportional relationship.

D. 4x/18 = 2x/9

x/18 = x/18

Therefore, 4x/18 = x/18 does not represent a proportional relationship.

E. 5/5 = 1

11/11 = 1

Therefore, 5/5 = 11/11 represents a proportional relationship.

F. 8/15 = 8/15

4/30 = 2/15

Therefore, 8/15/2/15 does not represent a proportional relationship.

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The student that has the greatest percent error is Ebony.

The percentage error will be calculated as:

= Change in value / Initial values × 100

From the table, we can see that Ebony had the greater difference in values. This will be illustrated as:

= (Measured length - Actual length) / Actual length × 100

= (2.1 - 1.6)/1.6 × 100

= 0.5 / 1.6 × 100

= 31.25%

Ebony had the higher percentage error.

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Given,

5(2)+15v=00

where v is the number of vans.

Solving,

15v=90

v=6

Thus the correct answer is 6 vans are needed to transport students.

Ramones’s Chemistry test was much better as it has higher Z-Score than history

For History test, Test score (x) = 40

Mean (μₓ) = 30, Standard deviation (σₓ) = 10

For Chemistry test, Test score (Y) = 40

Mean (μ) =30, Standard deviation (σ) =5

Ramones’s Z-score for History test is given by,

Z-Score = (x-μₓ)/σₓ =(40-30)/10 = 1

Ramones’s Z-score for chemistry test is given by,

Z-Score = (y-μ)/σ =(40-30)/5 = 2

Thus, Ramones’s Chemistry test was much better, because Chemistry test has higher z-score.

Difference in the mean score (α) =μₓ -μ =0

Difference in Z-Score= Z- Zₓ =1

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        Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.

          X-terms and constants should be combined with any other like terms on either side of the equation. Put the terms in the same order, with the x-term usually coming before the constants. The two phrases are equal if and only if each of their terms is the same.

        Consequently, (f + g)(4) is equal to f(4) + g(4)

         If two systems of equations have the same solution, they are equivalent (s).

Simplify

(71 . 81) 4 = 287.24

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x=27

I think it's because if 3 is to 2 then 18+9=27. which means 27 is to 18.

On the z-score metric, the standard deviation of the behaviour scores is 3.

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The correct answer for the given problem is option (D) .

growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰

Before twenty years, the actual population was 10,000.

Population growth per year = 8% = ((100+8)10,000)/100=10,800.

So, there will be an addition of 800 people to the population every year.

After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.

Population for t years = (Initial Population)× (Growth or Decay Rate)×time

Using the above population increment formula,

Time( in years) ----->Population

0------>10000

1------->10000 (1.08)

2------->10000(1.08)(1.08)

3------->10000(1.08)(1.08)(1.08)

------------------

n ----->10000(1.08)

Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰

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The measure of ∠ A is 44 degrees.

Given that:-

∠ A and ∠ B are complementary angles.

∠ A = (6x +2) degrees

∠ B = (4x + 18) degrees

We have to find the measure of ∠ A.

We know that the sum of two complementary angles is 90 degrees.

Hence, we can write,

(6x + 2) + (4x + 18) = 90

(6x + 4x) + (2 + 18) = 90

10x + 20 = 90

10x = 90 - 20

10x = 70

x = 70/10

x = 7 degrees

Hence,

∠ A = 6*7 + 2 = 42 +2 = 44 degrees.

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Based on the yards of fabric used by Jan for the quilt squares, the total fabrics used by Jan was 1 ¹ / ₅₆ yards

The yards of fabric used by Jan were 7 / 8 of a yard and 1 / 7 of another yard.

The total yards used by Jan can be found by adding these fractions up. To add both fractions, you first need to find the common denominator of 8 and 7 which is 56.

Then the numerators can be found by dividing 56 by the denominator and then multiplying the numerator by the result.

Fraction 7 / 8 yards:

= 56 / 8 x 7

= 49 / 56

Fraction 1 / 7:

= 56 / 7 x 1

= 8 / 56

The total number of yards used is:
= 49 / 56 + 8 / 56

= 57 / 56

= 1 ¹ / ₅₆ yards

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Given data:

The given function is f(x)=3450(1.04)^(x+1).

The

The system of quadratic equations obtained on solving general equation of parabola are

a. 5=36a - 6b +c

   -2=64a+8b+c

    3=16a+4b+c

b. 1=289a+17b+c

   -1=81a-9b+c

  2=11025a+105b+c

the equation parabola

the general equation of Parabloa is written as-

y=a[tex]x^{2}[/tex]+bx+c

if the parabola passes through the point. then this point must satisfy the equation of the parabola. so, by putting the value of points we get a set equations-

5=a[tex]6^{2}[/tex]+b(-6)+c

5=36a - 6b +c

and for other two points we get equations

-2=64a+8b+c

and 3=16a+4b+c

and for other three points we get the equations

1=289a+17b+c

-1=81a-9b+c

2=11025a+105b+c

so on solving we get these three set of quadratic equations.

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Answer: 4

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

Sample proportion for men who own tablets  ≈0.433

Sample proportion for women who own tablets ≈0.466

p value of the test  is 0.3320.

Test whether the survey results provide evidence of a difference in the proportion owning a tablet between men and women.

Let p, be the proportion of all men who own tablets and p, be the proportion of all women who own tablets.

Null hypothesis, [tex]H_{0}[/tex] P.1 = P2 (The proportion of tablets owned by men and women are equal.)

Alternative hypothesis,[tex]H_{0}[/tex]  P1[tex]\neq[/tex]P2 (The proportion of tablets owned by men and women are not equal.)

The notations for the sample statistic are  p p1 p2

Pooled proportion p = [tex]\frac{x_{1}+x_{2} }{n_{1}+n_{2} }[/tex]= 197+235/455+504

                                               ≈ 0.45

Sample proportion for men who own tablets,

                               p1 = [tex]\frac{x_{1} }{n_{1} }[/tex]= 197/455

                                           ≈0.433

Sample proportion for women who own tablets,

                              p2 = [tex]\frac{x_{2} }{n_{2} }[/tex] = 235/506

                                          ≈0.466

Since p1<p2  women group has higher tablet ownership.

Sample statistic, p1-p2

                          = 0.433-0.466

p value of the test  is 0.3320.

In mathematics, statistics deals with the study of surveys and reports of numerical data. For questions, we need to define a hypothesis. In general, there are two types of hypotheses. One is the null hypothesis and the other is the alternative hypothesis.

In probability and statistics, the null hypothesis is the general statement or default state that  zero  or nothing will happen. For example, there is no association between groups or no association between two measured events. Here, a hypothesis is generally assumed to be true until  other evidence is presented to disprove the hypothesis.

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Answer:

Step-by-step explanation:

A triangle is 180°

One angle is a right angle = 90°

And one is an acute angle of 27°

So 90+27= 117

You subtract 180 with 117 to get the answer of

X= 63°

In this kind of problem is better to work backwards. We have the number nine hundred twenty-eigh.

This means that the two last digits are a 2 and a 8, becasue we have a "twenty-eight" = 28

And then, we have "nine hundred" = 900

The number whole, then, is:

The speed is calculated as distance over time, so:

Replacing distance by 60 m and time by 3 seconds, we get:

The speed of the vehicle is 20 m/second

Answer: [tex]50^{\circ}[/tex]

Step-by-step explanation:

[tex]m\angle FDE=25^{\circ}+25^{\circ}=50^{\circ}[/tex]

Answer: y=x/3 + 4

Step-by-step explanation:

The line of the equation which passes through the point (0, 4) and is parallel to the x-axis is 2y = 8.

So, the equation is as:

Then, the equation can be:

(Refer to the graph attached below)

If you solve will become:

Therefore, the line of the equation which passes through the point (0, 4) and is parallel to the x-axis is 2y = 8.

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Answer: y = -1/7x + 3

Step-by-step explanation:

Write the equation of the line passing through the points (-7.4) and (7.2).

First, find the slope of the two points by the y2-y1/x2-x1 slope formula.

The slope is -1/7.

Then, use the point slope form y-y1 = m(x-x1).

Answer:

Assuming that the interest Is paid out yearly After one year he would have $5550 After 3 years he would have $6838.16 After 5 years he would have $8425.29