Determine if the following equation has one, none, or many solutions
3x-6=x+6-5x

Answer:

i dont think i have the facilities to do that honestly

Step-by-step explanation:

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer: 33 students

Step-by-step explanation:

If 0.6 of all students are boys, then 55*0.6 students in fifth grade are boys.

55*0.6 = 33 students

Answer:

33

Step-by-step explanation:

Let x represent the amount of boys then...

\(x=0.6*55\)

Simplify the equation

\(x=\frac{6}{10}*55\\x=\frac{3}{5}*55\\x=\frac{165}{5}\\x=33\)

33 of the students are boys

Answer:

It would take 74.5 minutes for the element to decay 17 grams.

Step-by-step explanation:

The amount of element X after t minutes is given by the follwoing equation:

\(X(t) = X(0)e^{rt}\)

In which X(0) is the initial amount of the substance and r is the decay rate.

Half life of 14 minutes.

This means that \(X(14) = 0.5X(0)\)

So

\(X(t) = X(0)e^{rt}\)

\(0.5X(0) = X(0)e^{14r}\)

\(e^{14r} = 0.5\)

\(\ln{e^{14r}} = \ln{0.5}\)

\(14r = \ln{0.5}\)

\(r = \frac{\ln{0.5}}{14}\)

\(r = -0.0495\)

So

\(X(t) = X(0)e^{-0.0495t}\)

There are 680 grams of element X

This means that \(X(0) = 680\)

\(X(t) = X(0)e^{-0.0495t}\)

\(X(t) = 680e^{-0.0495t}\)

How long would it take the element to decay 17 grams

This is t for which X(t) = 17. So

\(X(t) = 680e^{-0.0495t}\)

\(17 = 680e^{-0.0495t}\)

\(e^{-0.0495t} = \frac{17}{680}\)

\(e^{-0.0495t} = 0.025\)

\(\ln{e^{-0.0495t}} = \ln{0.025}\)

\(-0.0495t = \ln{0.025}\)

\(0.0495t = -\ln{0.025}\)

\(t = -\frac{\ln{0.025}}{0.0495}\)

\(t = 74.5\)

It would take 74.5 minutes for the element to decay 17 grams.

Answer:

Each fudge cookie has 80 calories.

Each lemon cream has 65 calories.

Step-by-step explanation:

We will let \(\ell\) represent the calories in lemon creams and \(f\) represent the calories in fudge cookies.

Two lemon creams and four fudge cookies together have 450 calories. So, we can write the following equation:

\(2\ell+4f=450\)

And four lemon creams plus two fudge cookies together have 420 calories. So, we can write the following equation:

\(4\ell+2f=420\)

We now have a system of equations. We can solve this by elimination.

For the first equation, we can multiply both sides by -2. This way, the \(\ell\) will cancel when we add the two equations together.

So, the first equation becomes:

\(-4\ell-8f=-900\)

Add this to the second equation. Hence:

\((-4\ell+4\ell)+(-8f+2f)=(-900+420)\)

Simplify:

\(-6f=-480\)

Divide both sides by -6. Hence:

\(f=80\)

So, there are 80 calories in one cookie.

We can use the first equation again to find the amount of calories in one cream. We have:

\(2\ell+4f=450\)

Substituting 80 for \(f\) yields:

\(2\ell+320=450\)

Then it follows that:

\(\ell=65\)

So, there are 65 calories in each lemon cream.

Answer:

567

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

5x5 = 25

Answer:

25

Step-by-step explanation:

Let's go through our times tables really quick!

5x1 = 5 (5 + 0)

5x2 = 10 (5 + 5)

5x3 = 15 (5 + 5 + 5 [10 + 5])

5x4 = 20 (5 + 5 + 5 + 5 [15 (5x3) + 5)

As we can see, if we know 5x4, we can easily find 5x5! It's just 5x4 + 5

So, 5x5 is 25

Hope this helped!

Answer:

A'B'= 3 cm and B'D' = 1.6 cm

Step-by-step explanation:

First of all, we are told that the scale factor = 1/5

Now,we know that If the scale factor is less than 1, then the dilation is a reduction.

Thus, in this question the dilation is a reduction.

For us to calculate the dimensions of the dilated rectangle, we'll multiply the original dimensions by the scale factor

Thus;

A'B' = AB(1/5)

A'B' = 15(1/5) = 3 cm

B'D' = BD(1/5) = 8(1/5) = 1.6 cm

Thus, The length of each side of the dilated rectangle are;

A'B'= 3 cm and B'D' = 1.6 cm

Answer:

The answer you're looking for is 12

Step-by-step explanation:

2+5=7 = 19-3+3=13

5-3=2

6+5=11-21+3= -33

8+5= 13= 1

4+5= 9

The system of equations that does not satisfy the ordered pair is

6m -21n = -33  

9m + 4n = 5

3m = 9 + 6n

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the ordered pair ( m , n ) = ( 5 , 3 )

The value of m = 5

The value of n = 3

Now , the equation will be

a)

The equation is

2m = 19 - 3n

Substituting the values , we get

2 x 5 = 19 - 3 x 3

10 = 19 - 9

10 = 10

The equation satisfies for the ordered pair

b)

The equation is

m - n = 2

Substituting the values , we get

5 - 3 = 2

2 = 2

The equation satisfies for the ordered pair

c)

The equation is

6m -21n = -33

Substituting the values , we get

6 x 5 - 12 x 3 = -33

30 - 36 = -33

-3 = -33

The equation does not satisfy the ordered pair

d)

The equation is

8m = −23 + 21n

Substituting the values , we get

8 x 5 = -23 + 21 x 3

40 = -23 + 63

40 = 40

The equation satisfies for the ordered pair

e)

The equation is

4m − 3n = 11

Substituting the values , we get

4 x 5 - 3 x 3 = 11

20 - 9 = 11

11 = 11

The equation satisfies for the ordered pair

f)

The equation is

2m + 5 = 5n

Substituting the values , we get

2 x 5 + 5 = 5 x 3

10 + 5 = 15

15 = 15

The equation satisfies for the ordered pair

g)

The equation is

9m + 4n = 5

Substituting the values , we get

9 x 5 + 4 x 3 = 5

45 + 12 = 5

57 = 5

The equation does not satisfy the ordered pair

h)

The equation is

3m = 9 + 6n

Substituting the values , we get

3 x 5 = 9 + 6 x 3

15 = 9 + 18

15 = 27

The equation does not satisfy the ordered pair

Hence , the equations 6m -21n = -33  ,  9m + 4n = 5 and 3m = 9 + 6n   does not satisfy the given ordered pair ( m , n ) = ( 5 , 3 )

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Biff has $12 left out of the money

Biff earned $45 at happy days drive-in

He spent 1/3 of the money on gas

He also spent 1/5 of the money flowers

The money he has left can be calculated as follows

45 × {1-(1/3+1/5)}

= 45× (1-8/15)

= 45 × 7/15

= 3 × 7

= 21

Hence Biff has $12 left

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

Using elimination:

Therefore, the answer is:

B) Multiply A by 1 and B by -3

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

31°

Step-by-step explanation:

α = ß = 31°

The value of the given functions are:

(i) f + g = x² + x - 6

(ii) f - g = -x² + x - 4

(iii) f . g = x³ - 5x² - x + 5

(iv) f/g = ( x - 5)/(x +1)(x - 1)

(v) g(f(x)) = x² - 10x + 24

The two functions are given that

f(x) = x - 5

g(x) = x² - 1

We have to find

(i) f + g

f(x) + g(x) = ( x-5)  + (x² - 1)

                = x² + x -5 -1

               = x² + x -6

(ii) f - g

f(x) - g(x) = (x-5)- (x² - 1)

              = -x² + x -5 +1

              = -x² + x -4

(iii) f . g

f(x) . g(x) = (x-5)(x²-1)

              =x(x² - 1) -5(x² - 1)

              = x³ - x - 5x² + 5

              = x³ - 5x² - x + 5

(iv) f/g

f(x) / g(x) = (x-5) / ( x² - 1)

              = (x - 5) / (x+1)(x-1)

(v) g(f(x)) = - 1 + ( -5 + x )²

              = -1 + 25 + x² - 10x

              = x² - 10x + 24

Therefore we get the value of the function, (i) f + g = x² + x - 6, (ii) f - g = -x² + x - 4,(iii) f . g = x³ - 5x² - x + 5, (iv)f/g = ( x - 5)/(x +1)(x - 1), (v) g(f(x)) = x² - 10x + 24.

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The complete question is:

F(x)=x-5 and g(x)=x2 - 1 find (i) f + g , (ii) f-g, (iii) f. g (iv) f/g (v) g(f(x)).

The total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.

To find the total number of atoms represented by Cd(CH₂CICO₂)₂, we need to count the number of atoms of each element in the molecule and add them up.

Cd(CH₂CICO₂)₂ contains:

1 cadmium (Cd) atom

2 carbon (C) atoms

6 hydrogen (H) atoms

4 oxygen (O) atoms

2 chlorine (Cl) atoms

Adding these up, we get:

1 + 2 + 6 + 4 + 2 = 15

Therefore, the total number of atoms represented by Cd(CH₂CICO₂)₂ is 15.

The answer is (D) 15.

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The measure of angle MTU m∠MTU is 114 degree.

From the figure in the diagram:

Measure of angle STU is 145 degrees and measure of angle STM is 31 degree.

Since, angle STU composes or is the sum of angle STM and angle MTU.

To find angle MTU, simply subract angle STM from angle STU.

m∠STU = m∠STM + m∠MTU

Hence:

m∠MTU = m∠STU - m∠STM

Plug in the given values and simplify

m∠MTU = 145° - 31°

Subtract 31 from 145

m∠MTU = 114°

Therefore, angle MTU measure 114°.

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Answer:

38 yards

Step-by-step explanation:

All you have to do is add up all that yardsgained and subtract the yards lost:

32-7+15-2=38

Answer:

38

Step-by-step explanation:

32-7=25

25+15=40

40-2=38

Answer: where is the answer choices

Step-by-step explanation:

Answer:

D: 0.05

Step-by-step explanation:

Since  the question says UNLIKELY, it  would be the smallest number, which is 0.05 in this case.

The vertex of the equation of the parabola y = 2( x - 3 )² + 1 is (3,1).

Given the equation of the parabola in the question:

y = 2( x - 3 )² + 1

To determine the vertex of the parabola, we use the vertex form of a parabola which is expressed as:

Vertex form: y = a(x - h)² + k

Where (h, k) represents the vertex of the parabola.

The given equation is already in the vertex form:

y = 2( x - 3 )² + 1

Hence, comparing the given equation, y = 2(x - 3)² + 1, with the vertex form, we can see that:

h = 3 and k = 1

Therefore, the vertex is (3,1).

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Answer:

I am not sure but if p/8=0 then it is correct

hope it helps! :D

Answer:no

Step-by-step explanation:

no

Answer:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Step-by-step explanation:

The hypothesis to be tested for is whether the factor 'state' is associated with the factor 'sporting preference'.

The study is therefore about 'association' and whether the distributions of sporting preferences are identical across states. In scenario in this case is the test for association which is the most appropriate test.

Two factors are deemed to not be associated unless there is supporting evidence to suggest otherwise. Since the null hypothesis is the default belief, the correct pair of hypotheses are:

H0: There is no association between state and sporting preference.

H1: There is an association between state and sporting preference

Answer:

100%=25

Step-by-step explanation:

The equation -27v - 54v²-36v³ cannot be solved as it doesn't have a factor

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

There are 3 main types of equation

1. Slope-intercept : y = mx + c

                              where m is the slope and b is the y-intercept

2. Point-slope : \((y - y_{1} ) = m (x - x_{1} )\)

                          Where m is the slope and \((x_{1},y_{1})\) is a point on the line

3. Standard : Ax + By = C

                     where A, Band C are constants

Factorizing the equation we get

-3v(9 + 18v + 12v²)

= -9v(4v² +6v +3)

(4v² +6v +3) as this equation doesn't have a factor it is difficult to solve

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We have shown that for any positive integer n, the set of n consecutive integers starting with (n+1)!+2 consists entirely of composite integers.

In this problem, we are asked to prove that for every positive integer n, there are n consecutive composite integers. To do this, we will make use of the concept of factorization of integers and apply it to a specific set of n consecutive integers.

Let's consider the set of n consecutive integers starting with (n+1)!+2. That is, the set of integers { (n+1)!+2, (n+1)!+3, ..., (n+1)!+n+1 }.

We need to prove that all of these n integers are composite, that is, they have factors other than 1 and themselves.

Firstly, notice that all of the integers in the set are greater than (n+1)! which means that they are greater than or equal to (n+1) * n!.

Therefore, we can write (n+1)!+2 as (n+1) * n! + 2.

Now, let's consider any integer k from 2 to n+1.

We need to prove that k divides (n+1)!+k.

We can write (n+1)!+k as (n+1) * n! + k.

Now, notice that k divides (n+1), since k is less than or equal to n+1 and n+1 is a factor of (n+1)!.

Therefore, (n+1)!+k is divisible by k, and since k is between 2 and n+1, (n+1)!+k is not a prime number, which means that it is composite.

Therefore, this proves that there are n consecutive composite integers for any positive integer n.

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The volume of the given pyramid is  64 cubic inches.

The volume of the pyramid is the product of one-third of the height and square of the base side length.

The volume of Pyramid A =  (1/3)(side²)(height)

The volume of a square pyramid is equal to one-third of the product of the base’s area and the pyramid’s height. The formula is:

V = (1/3) × a² × h

where a is the length of the square base, and h is the height (or altitude).

We are given that;

h = 3 inch, a = 8 inch, and hypotenuse = 5 inch,

Now, we can plug in the values into the formula and get:

V = (1/3) × 8² × 3

V = (1/3) × 64 × 3

V= (64 x 3)/3

V = 64 inch³

Therefore, by the given data the volume of the pyramid will be 64 cubic inches.

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The distance between fours points are calculated with a function 'distance'.

Given four real numbers representing cartesian coordinates: (x1,y1),(x2,y2). write a function distance(x1, y1, x2, y2) to compute the distance between the points (x1,y1) and (x2,y2).

Read four real numbers and print the resulting distance calculated by the function

import math

def calculateDistance(x1,y1,x2,y2):

    dist = math.sqrt((x2 - x1)**2 + (y2 - y1)**2)

    return dist

distance = calculateDistance(2,4,6,8)

print distance

Therefore, the above program is used to calculate the distance between points and print the result.

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Answer:

x = 10

Step-by-step explanation:

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