1. Find (-9) +7 –(-3)

Answer:

Step-by-step explanation:

If each side of the basketball arena is 20 ft. X 30 ft, the area of each side of the basketball arena = 20ft * 30ft = 600ft².

Since all the four sides are filled with people, the total area of the 4 sides will be expressed as 4*600 = 2400ft²

If each person takes up 2.5ft², total number of people in the arena will  be gotten by simply dividing the area of all the four sides by the area took up by each person.

Total number of people in the arena = area of all the four sides by the area/ area took up by each person.

Total number of people in the arena = 2400/2.5

Total number of people in the arena  = 960 people.

Hence there are approximately 960 people in the arena.

Answer:

Step-by-step explanation:

g(5) = 5 - 2 = 3

f(3) = 3(3) + 10 = 9 + 10 = 19

Answer:

2.899

Step-by-step explanation:

The formula for calculating the distance between two points P(x1, y1) and (x2, y2) is expressed as:

D = √(x2-x1)²+(y2-y1)²

Given the points (2,-2) and (1,x) and the distance between the point as 5, we are to get x. To get x we will substitute the points and the distance given into the formula.

Given x1 = 2, y1 = -2, x2 = 1, y2 = x and D = 5

On substitution:

5 = √(1-2)²+(x-(-2))²

5 = √1²+(x+2)²

5 = √1+(x+2)²

Square both sides of the equation

5² = (√1+(x+2)²)²

25 = 1+(x+2)²

(x+2)² = 25-1

(x+2)² = 24

Square both sides

√(x+2)² = √24

x+2 = √24

x = √24- 2

x = 4.899-2

x = 2.899

Hence the other value is 2.899

Answer:

the answer seems to be A

Answer:

x<3. Hope this helps!

Step-by-step explanation:

Answer:

0.5 mi (2640 feet)

Step-by-step explanation:

Answer:

0.5 mi

Step-by-step explanation:

1 mile  = 5280 feet

1 foot = 0.000189394 miles

0.5 miles = 2640 feet

640 feet = 0.121212

therefore, 0.5 mi is greater

Hi there! :)

Answer:

[tex]\huge\boxed{6}[/tex]

Let "x" represent a number.

Adding the number to itself gives us x + x, or 2x.

Multiplying by 3 gets 36, therefore:

36 = 3 · 2x

Simplify:

36 = 6x

Divide both sides by 6:

36/6 = 6x/6

x = 6.

Answer:

4

Step-by-step explanation:

(5+1)^2−(11+3^2) / 4 = 4

Answer: 31

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

7

Answer:

The correct option is;

C. Domain: {9, 10, 11, 12}; range {22, 32, 41, 30}

Step-by-step explanation:

The given parameters are;

The ticket sold at the talent show for different grades;

For grade 9, 22 tickets were sold

Grade 10, had 32 tickets sale

The number of tickets sold for grade 11 = 41 tickets

The number of tickets sold for grade 12 = 30 tickets

We note that the domain are the inputs and independent variables, x, of a function,f(x), while the range is the set of outputs, dependent, variables,  of the function or the values of f(x)

Therefore, given that the domain are the independent variable, that is their values are not influenced by other variables, then the domain are the grades, which are 9, 10, 11, 12, while the range are the range are the number of tickets sold (22, 32, 41, 30) which are dependent on the grades

Answer: Jenna sold 280 and Becca sold 105 boxes.

Step-by-step explanation:

Let 3x be the number of cookies Becca sold.

Then, the number of cookies Jenna sold = 8x

Since Combined, they sold a total of 385 boxes of cookies.

So, [tex]3x+8x=385[/tex]

[tex]\Rightarrow\ 11x=385\\\\\Rightarrow\ x=\dfrac{385}{11}\\\\\Rightarrow\ x=35[/tex]

So, Jenna sold 8(35) = 280 boxes

and Becca sold 3(35)=  105 boxes

Hence, Jenna sold 280 and Becca sold 105 boxes.

Answer:

The correct option is;

It influenced the laws of other countries

Step-by-step explanation:

The Justinian Code was the rationalization of previous existing Roman laws so as to remove contradiction and eliminate conflicting statutes including the repeal of laws not included in the code.

For close to a millennia, the Justinian Code served as the bedrock of the Byzantine Judiciary and of civil law, fostering law and order for the people of Byzantines and civil law spread to Europe and Latin America.

The Justinian Code influenced the laws of other countries.  

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Answer:

D.

Step-by-step explanation:

4.526 x 10^6 = 4,526,000.

55,246,900 is greater than this.

Answer: Hi!

First, we will find value of the equation given, 4.526 * 10^6.

We will solve the exponent first.

10^6 = 10*10*10*10*10*10 = 1,000,000

Now, we will multiply 1,000,000 by 4.526.

4.526 * 1,000,000 = 4,526,000

4,526,000 is the value of 4.526 * 10^6.

We can automatically tell that d), 55,264,900 is greater than 4,526,000. Therefore, d) is your answer.

Hope this helps!

Answer:

Step-by-step explanation:

A= LxW

Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,

                                    (w + 2) x w = 48

w(w+2)=48

Answer:

B)w(w + 2) = 48

Step-by-step explanation:

edg2021

Answer:

Option C: x = 300

Step-by-step explanation:

Step 1. Expand the brackets.

When factorising (putting into brackets) and expanding (taking out of brackets), it is always important to remember that the number on the outside multiplies everything on the inside. It is also important to remember the signs of the outside and inside numbers (i.e. if the numbers are positive or negative).

[tex]\frac{1}{3}[/tex](x - 15)

= ([tex]\frac{1}{3}[/tex] × x) - ([tex]\frac{1}{3}[/tex] × 15)

= (x ÷ 3) - (15 ÷ 3)

= [tex]\frac{x}{3}[/tex] - 5

Step 2. Solve the equation.

[tex]\frac{x}{3}[/tex] - 5 = 95

What we want to do is to get x on its own on one side, so that we can figure out the value of x.

[tex]\frac{x}{3}[/tex] - 5 = 95

+ 5 to both sides (do the opposite of what is there, [tex]\frac{x}{3}[/tex] is subtracting 5 right now, but we want to cancel that subtraction out, so we do the opposite of subtraction, i.e. addition)

[tex]\frac{x}{3}[/tex] = 95 + 5

[tex]\frac{x}{3}[/tex] = 100

× 3 to both sides (do the opposite of what is there: x is divided by 3 right now, but we want to cancel that division out, so we do the opposite of division, i.e. multiplication)

[tex]\frac{x}{3}[/tex] x 3 = 100 x 3

x = 100 x 3

x = 300

Step 3. We look for out answer within the options given.

As we can see, the option of [x = 300] is option C, so the answer we would give would be "C".

100% cause owen only has 3 yellow pencils

Answer:

Step-by-step explanation:

The

O over 3 or 1 over 3 or 3 over 3 or 3 over 1

Step-by-step explanation:

[tex]tan60° = \frac{x}{10} = \sqrt{3} [/tex]

[tex]x = 10 \sqrt{3} [/tex]

Answer:

[tex]5[/tex][tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]5^{2} + b^{2} = 10^{2}[/tex]

[tex]25+b^{2}=100[/tex]

[tex]100-25=b^{2}[/tex]

[tex]b^{2} = 75[/tex]

[tex]\sqrt{75} = 6.88[/tex]

[tex]6.88 = 5\sqrt{3}[/tex]

Answer:

5x - 18

Step-by-step explanation:

3(x-5)+ 2x-3

Distribute

3x -15 +2x -3

Combine like terms

5x -18

Answer:

5x - 18

Step-by-step explanation:

3(x-5) + 2x - 3

=(3*x + 3*-5) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

Answer:

1035

Step-by-step explanation:

(2.3 × 10^4)(4.5 × 10^6)

First we do the exponents:

10^-4 = 0.0001

10^6 = 1,000,000(1 mil)

Now we plug them into the equation:

(2.3 × 0.0001)(4.5 × 1,000,000)

Now we multiply the numbers in the paranthesis:

(0.00023)(4,500,000) = 0.00023 × 4,500,000

Now we multiply both of them:

0.00023 × 4,500,000 = 1035

Answer:

A

Step-by-step explanation:

Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.

Answer:

2 hours

Step-by-step explanation:

given that the calorie burn rates are:

swimming: 400 cal / hour

rollerblading: 600 cal / hour

If he swims for 3 hours, he will burn:

400 cal / hour x 3 hours

= 1200 cal

Since his goal is 2400 calories, the number of calories that he has left to burn after swimming is:

2400 - 1200

= 1200 calories.

Number of hours of rollerblading to burn 1200 calories

= 1200 calories ÷ 600 calories per hour

= 2 hours

Answer:

B. y > = 2

The second part is

A. At least 2

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer:

let the number be x

x-10=11*x

x-10=11x

-10=11x-x

-10=10x

x= -10/10

x= -1

Answer:

A). Use any three points in the plane that are not on the same line.

C). Use a single capital cursive letter.

Step-by-step explanation:

A Plane is defined as a flat surface that is extending infinitely in each and every direction. For Example, a horizontal or a vertical plane. It is a two-dimensional, rigid, and flat. Since it extends infinitely, the width as well as its length cannot be measured.

A plane is  named in different ways like by 'using a capital letter in cursive script' or 'by naming the three non-collinear points lying on different lines.' For example, a plane can be named as plane 'P' or ABC. Thus, options A and C are the correct answers.

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

Answer:

y = 0.6x

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope-Intercept Form: y = mx + b

Step 1: Find slope m

m = (1.2 - 0)/(2 - 0)

m = 1.2/2

m = 0.6

y = 0.6x

Step 2: Find y-intercept b

(0, 0) is y-int

Equation is y = 0.6x

Step 3: Graph

Use point (-5, -3) and (0, 0) to graph

Answer:

A. 11

Step-by-step explanation:

BC×AC = DC × LC

7(2x +3 +7 ) = 9 ( x+ 1 +9)

7 ( 2x +10) = 9( x + 10 )

14x - 9x = 90 - 70

5x = 20

x = 4

then,

AB = 2x + 3

= 2× 4 + 3

= 11

Answer:

[tex]\sqrt{x}[/tex]

Step-by-step explanation:

If we have that worded expression, we can convert it into actual mathematical terms.

x to the one sixth power: [tex]x^{\frac{1}{6}}[/tex]

That to the power of 3:

[tex](x^{\frac{1}{6}})^3[/tex]

Using exponent rules, since we have a power to a power, the powers multiply, so:

[tex]x^{\frac{1}{6}\cdot 3}\\\\x^{\frac{3}{6}}\\\\ x^{\frac{1}{2}}[/tex]

If we have a number to a fraction power, the denominator becomes the “find the (denominator) root of x.

So:

[tex]x^{\frac{1}{2}} = \sqrt{x}[/tex]

Hope this helped!

Answer:

x 1/2 took the quiz

He went upstream 3 hours and downstream two. 4x3=12  6x2=12

He went 24 miles.

Answer:

Its 9.6

Step-by-step explanation: i did savas

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Answer:

a = (n+p)/m

Step-by-step explanation:

Divide both side by m to isolate a.

a = (n+p)/m

On solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

We have the following expression -

am = n + p

We have to solve for ' a '.

On solving, we get -

πx + a = ω

πx = ω - a

x = [tex]$\frac{\omega-a}{\pi }[/tex]

According to the question, we have -

am = n + p

a = [tex]$\frac{n +p}{m}[/tex]

Hence, on solving for a, we get -  

a = [tex]$\frac{n +p}{m}[/tex]

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