What is the value of x?

Answer:

Tony

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the required number line is not included in the question.

A general explanation is as follows:

An open circle means > or <

A closed circle means >= or <=

Take, for instance, the attached number line:

The open dot on -3 means >-3 or <-3

The arrow points to the right direction, means >-3 i.e. greater than -3

Hence, the inequality is:

[tex]x > -3[/tex]

Answer:

a = 13/12

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

a - 1/3 = 3/4

Step 2: Solve for a

Answer:

11/43

Step-by-step explanation:

A local community college has 860 students

Out of this 860 students, 220students ride bikes

Therefore the fraction of bike riders to the number of students can be calculated as follows

= 220/860

= 11/43

Answer:

D is the answer

-(3x + 2)

d) -3x-2

Answer:

d

Step-by-step explanation:

Given

- (3x + 2) which is equivalent to

- 1 (3x + 2) ← multiply each term in the parenthesis by - 1

= - 3x - 2 → d

Note the binomial expansion,

(a + 1/a)³ = a ³ + 3a + 3/a + 1/a ³

so

a ³ + 1/a ³ = (a + 1/a)³ - 3 (a + 1/a)

Similarly,

(a + 1/a)² = a ² + 2 + 1/a ²

We're given a ² + 1/a ² = 79, so

(a + 1/a)² - 2 = 79

(a + 1/a)² = 81

a + 1/a = ±9

but a > 0, so we ignore the negative solution.

Then

a ³ + 1/a ³ = 9³ - 3×9 = 702

Answer:

n = ≥500

Step-by-step explanation:

They must be able to swim 500 yards or more.

Answer:

9

Step-by-step explanation:

If the sine of an angle is equal to the cosine of an angle, that means that the sides adjacent and opposite to that angle are equal. One triangle that has two equal sides is an isosceles triangle. We can set this triangle to be a 45-45-90 degree triangle, which means that the angle would be 45.

Now, we have to find the value of

[tex]4\tan^2(45)[/tex]

and

[tex]5\tan(45)[/tex]

The tangent of 45 is 1, so 1 squared times 4 is 4.

We have [tex]4\tan^2(45) = 4[/tex].

Again, the tangent of 45 is 1, and 1 times 5 is 5.

We have [tex]5\tan(45) = 5[/tex]

5 + 4 = 9

Answer:

240 miles

Step-by-step explanation:

60*4=240

Answer: 240

Step-by-step explanation: If she is traveling 60 miles per hour you can multiply it by 4, which is 240.

Answer:

k = 4

Step-by-step explanation:

In the equation: x² - 2x - 24

Replace the x with x + 3

(x+3)² - 2(x+3) - 24

x² + 6x + 9 - 2x - 6 -24

Let's rearrange it

x² + 6x -2x - 24 + 9 - 6

x² - 4x - 21

f(x+3) = x² - 4x - 21

The equivalent value of k from the function is k = -4

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

f ( x ) = x² - 2x - 24

Let the second function be represented as B

Now , the value of B is

f ( x + 3 ) = x² - kx - 21

On simplifying , we get

f ( x + 3 ) = ( x + 3 )² - 2 ( x + 3 ) - 24

f ( x + 3 ) = x² + 6x + 9 - 2x - 6 - 24

f ( x + 3 ) = x² + 4x - 21

So , from the equations , we get

-kx = 4x

Divide by -x on both sides , we get

k = -4

Hence , the equation is k = -4

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ2

Step-by-step explanation:

Right, okay, so this is a bit of a weird one. Let's go step by step.

"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.

"Their total bill was $27.60" = so is the number 27.6

"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6

"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.

"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).

To put it all into a full equation...

10 - ( 27.6 / 6 )

Divide.

10 - 4.6

Subtract.

5.4

Put back into money form.

$5.40

Answer:

Each person will get back $5.40.

Answer:

if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)

60 - 27.60 = 32.4

32.4/6 = 5.4 (divide the change between 6 people)

Each person will get $5.40 back.

hope it helps :)

Answer:

n^3( 4n+1)

Step-by-step explanation:

4n^4 + n^3

2*2*n^3*n + 1*n^3

Factor out the common terms

n^3( 4n+1)

Answer:

x=[tex]\frac{3}{2}[/tex] and x=[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{36x^2-60x+25}=4[/tex]

=> [tex]\sqrt{36x^2-60x+25}^{2} =4^{2}[/tex]

=> [tex]{36x^2-60x+25}=16[/tex]

=> [tex]36x^2-60x+25-16=16-16[/tex]

=> [tex]36x^2-60x+9=0[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48[/tex]

=> [tex]x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}[/tex]

=>[tex]x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\[/tex]

=> [tex]x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}[/tex]

Answer:

Luis's balance = $25,283.33

Step-by-step explanation:

Given the following data;

To find how much money Luis will have;

First of all, we would have to convert the value of time in months to a year.

Conversion:

12 months = 1 year

8 months = X year

Cross-multiplying, we have;

12 * X = 8

X = 8/12

X = 2/3 years

To find the simple interest, we would use the formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

Substituting the values into the formula, we have;

[tex] S.I = \frac {25,000 * 1.7 * \frac {2}{3}}{100} [/tex]

[tex] S.I = \frac {28333.33}{100} [/tex]

S.I = $283.33

Luis's balance = S.I + Principal

Luis's balance = 283.33 + 25000

Luis's balance = $25,283.33

Step-by-step explanation:

The triangle is equilateral (OPTION D) because any triangle that has 3 equal side lengths is an equilateral triangle.

Answer:

answer to that is A 1.75 per pint

Answer:

b=12

Step-by-step explanation:

b^2+35^2=37^2

b^2+1225=1369

b^2=144

b=12,-12

Lengths can't be negative, so b=12

Answer:

b=12

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

35^2 + b^2 = 37^2

1225+b^2 =1369

b^2 =1369-1225

b^2 = 144

Taking the square root of each side

sqrt(b^2) = sqrt(144)

b=12

Answer:

Its -34 cuhcuhcuchuchcuh

Step-by-step explanation:

cuhcuhcuchucuhcuhcuhcuhcuchcuh

Answer:

36

Step-by-step explanation:

(-6)² = (-6) × (-6)

= +36

Answer:

B

Step-by-step explanation:

here we use trigonometric ratio involving soh,cah,toa

Answer: [tex]100.544\ in.^3[/tex]

Step-by-step explanation:

Given

Diameter of the cone [tex]d=8\ in.[/tex]

Height of the cone [tex]h=6\ in.[/tex]

Volume of the Cone is given by

[tex]\Rightarrow V=\dfrac{1}{12}\pi d^2h[/tex]

[tex]\Rightarrow V=\dfrac{1}{12}\times \pi\times 8^2\times 6\\\\\Rightarrow V=16\pi \\\Rightarrow V=100.544\ in.^3[/tex]

The volume of the cone is [tex]100.544\ in.^3[/tex]

Answer:

wx/5

Step-by-step explanation:

Divide the denominator and the numerator by 7y.

Answer:

wx / 5

Step-by-step explanation:

here..

7wxy / 35y

7/35 is 1/5

and wxy /y is wx as we can cancel out y

thus..

7wxy/35y = wx/5

Step-by-step explanation:

second: (2.2,-1.4)

third: (2.2,-1.35)

Step-by-step explanation:

hope it helps✨

Answer:

C

Step-by-step explanation:

The center of the large circle is Center D. It has can area of 900 pi square units. This means that according to the formula of the area of circle,

[tex]\pi {r}^{2} [/tex]

Since Point D is the center of the large circle, by definition of a circle, diameter, and radius.

The area of the 3 small circles are equal so this means that the radius,any physical characteristics of the 3 circles are equal.

This means that each diameter of the 3 circles equally divide the diameter of the large circle into 3 equal parts.

This means Circle C diameter is 20.

Circumference is

[tex]\pi d[/tex]

The diameter is 20 so the circumference of Circle C is

[tex]20\pi[/tex]

Answer:

C

Step-by-step explanation:

hope it helps!!!!!!!!!!

Answer:

x = 200

Step-by-step explanation:

Plug in 15 as y into the equation and solve for x:

1/5x - 2/3y = 30

1/5x - 2/3(15) = 30

1/5x - 10 = 30

1/5x = 40

x = 200

So, when y = 15, x = 200