Examine the numbers listed below. Identify the only number that might be prime. Explain how you know that the other numbers are composite.

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

(7x - 1) + (13x - 19) = 180

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 180 does indeed equal 180.

∴ x = 10 is the solution to the equation.

As C is the mid-point of BD.

Therefore, BC=DC ...(i)

As AB ⊥ BD and ED ⊥ BD

So, ∠ABC= 90° and ∠EDC= 90°

Therefore, ∠ABC=∠EDC= 90° ...(ii)

As two line segments, AE and BD intersect at point C, so the vertically opposite angles are equal.

Therefore, ∠BCA=∠DCE ...(iii)

Now, in ΔABC and ΔEDC,

Angle, ∠BCA=∠DCE [ from equation (iii)]

Side, BC=DC [ from equation (i)]

Angle, ∠ABC=∠EDC [ from equation (ii)]

So, by ASA property of congruency, ΔABC and ΔEDC are congruent

Hence, ΔABC ≅ ΔEDC.

Answer:

27 and 28

Step-by-step explanation:

Let x = the first number

Let x + 1 = the second number

x + x + 1 = 55  Combine the x's

2x + 1 = 55 Subtract 1 from both sides.

2x = 54  Divide both sides by 2

x = 27 the second number would be 28

Answer: A.3x² - 2x - 6

Step-by-step explanation:

The value of x from the given linear function is -11/6

Linear equations are expression that has a leading degree of 1

Given the linear equation below

-2/3(3x - 4) +3x =5/6

Expand

-2/3(3x) - 2(-4) + 3x = 5/6

-2x + 8/3  + 3x = 5/6

Collect the like terms

x = 5/6 - 8/3

x = (5-16/6

x = -11/6

Hence the value of x from the given linear function is -11/6

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Answer:

C because its the only one that fits the question its asking. 12-6 8-4 4-2

Step-by-step explanation:

Answer:

1)10.57

2)5.91

Step-by-step explanation:

1)According to Pythagoras theorem

c=√a²+b²

=√5.2²+9.2²

=√27.04+84.64

=√111.68

=10.57

2) according to Pythagoras theorem

c²=a²+b²

6.5²=2.7²+b²

b²=6.5²-2.7²

b=√6.5²-2.7²

=√42.25-7.29

=√34.96

=5.91

Answer:

-62

Step-by-step explanation:

One easy way to subtract two negative numbers like this (for me anyway) is to factor out the minus sign and add:

- (15 + 47)

- (62)

Remove the parentheses

-62

Answer:

4

Step-by-step explanation:

f(x) = x² + 3x

f(-4) = (-4)^2 + 3×(-4)

= 16 - 12

= 4

Answer:

The correct answer is A. one solution.

The actual solution is x = 2.5.

Step-by-step explanation:

Here is the solution below:

Step 1: 2 + 2x + 1 = 3 + 2 + 3 <----- Here is the original problem.

Step 2: 2 - 2 + 2x + 1 - 1 = 8 - 2 - 1 <----- Subtract 1 and 2 from both sides.

Step 3: 2x = 5 <----- Simplify

Step 4: 2x/2 = 5/2  <---- Divide both sides by 2.

x = 2.5

Hope this helps! :D

A. One Solution

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form: x=5/2

Decimal Form: x=2.5

Mixed Number Form: x=2 1/2

Answer:

=========================

AP with:

Use the nth term equation of AP to find the last installment:

If Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.

Given that Tommy spent $14.30 and the cost of burritos is twice as much as tacos .

We are required to find the cost of each tacos and burrito.

Suppose the cost of a taco be x and the cost of burrito be y.

Because the cost of burrito is twice as the cost of taco so y=2x.

Total expenditure by Tommy=3x+4*2x

14.30=3x+8x

11x=14.30

x=1.30

y=2*1.3

y=$2.60

Hence if Tommy spent $14.30 and the cost of burritos is twice as much as tacos then the cost of Taco is $1.30 and the cost of burrito is $2.60.

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Answer:

y = 2.2x

Yes, it represents a linear function

Step-by-step explanation:

Given that :

Stopper applied at t = 0

At t = 5 minutes ; water in tub = 11 gallons

At t = 10 minutes ; water in tub = 22 gallons

General form of a linear function :

y = mx + c

Where c = intercept ; m = Slope ; y and x are dependent and independent variables respectively

The intercept = gallon of water at t = 0 ; this is not given and will be taken as 0

Slope = change in y / charge in x

Slope = (22 - 11) / (10 - 5)

Slope = 11 / 5

Slope = 2.2

Hence ;

y = 2.2x + 0

y = 2.2x

Yes, it represents a linear function

Answer:

-430

Step-by-step explanation:

Answer:

In scientific notation the number would be 2×10^6.

Hope it helps!

The statement that is not always true of inverse functions  is (d) f-1(x) is a function

Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function

As mentioned above,

The inverse functions are the opposite of an original equation

This means that:

If a function is f(x), then the inverse if f-1(x)

However, all inverse equation are relations, but not all inverse equations are functions

This means that the statement that is not always true of inverse functions  is (d) f-1(x) is a function

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the answer will be 4

x=4.

the angle ABC is parallel to angle AEF

The angular speed of the bicycle's wheels that are traveling at 25 mi/h is 1885.7 rad/min

To solve this angular speed problem the formula and the procedure we will use is:

v = w * r

Where:

Information about the problem:

Calculating the radius of the wheel, we have:

r = d/2

r = 28 inch/2

r = 14 inch

Converting the velocity unit from mi/h to inch/min, we get:

25 mi/h * (63360 inch / 1 mi) * (1h / 60 min) = 26400 inch/min

Applying the tangential velocity formula and isolating the angular velocity, we get:

v = w * r

w = v / r

w = 26400 inch/min / 14 inch

w = 1885.7 rad/min

When an object is in uniform circular motion, the angle described by the radius in each unit of time is known as angular speed. It is measured in units of (rad/s) (revolutions/s).

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We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

Answer:

the earth is 93.111 million miles away from the sun

Answer:

4.05 c

Step-by-step explanation:

Answer:

$4.05

Step-by-step explanation:

$4.10 - $0.05 = $4.05

Answer:

-1 and 1

Step-by-step explanation:

Answer:

65 mph

Step-by-step explanation:

520/8 is 65

Answer:

Step-by-step explanation:

a)y=-2x+8

y=4x-7

solution

b)y=x-4

y=3x-2

solution

c)x – 3y = -3

x – 3y = 6

no solution

d)3x +y = 3

6x + 2y = 6

infinite.

Answer: D

Step-by-step explanation:

Answer:

if 135 calories represents 1/4 then a whole cup is 540 calories so two cups is 540 times 2 which is 1080

Step-by-step explanation:

Answer:

1080 calories

Step-by-step explanation:

135x8=1080

6x² is the total area, in square feet, covered by the wood panels.

What is area?

A wall is covered with 6 wood panels. Each panel is a square with a side length of "X" feet.

So based on this, we can say that The expression to represent the total area, in square feet,

So, the wood panels is to be considered as the 6 ×  x² = 6x²

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The quadratic function that includes the set of values is y = -2x^2 + 7x + 6

The set of values is given as

(0,6) (2,12) (3,9)

A parabola is represented as

y = ax^2 + bx + c

At (0, 6), we have

6 = a(0)^2 + b(0) + c

This gives

c = 6

So, we have

y = ax^2 + bx + 6

At (2, 12), we have

12 = a(2)^2 + b(2) + 6

This gives

4a + 2b = 6

At (3, 9), we have

9 = a(3)^2 + b(3) + 6

This gives

9a + 3b = 3

Using a graphing tools, we have

a = -2 and b = 7

So, we have

y = -2x^2 + 7x + 6

Hence, the quadratic function that includes the set of values is y = -2x^2 + 7x + 6

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Answer:

Step-by-step explanation:

80% of (3 litres)

You can take 3 litres to be 3000 ml which is how I solved it.

80/100 x 3000

=2400 or 2.4 litres

The same can go with not taking ml which you can just use litres

80/100 x 3

=2.4 litres

I used the ml since I do not need the calculator for that one and it is faster to calculate.