using a graph to solve the equation 45=5x+10

Answer:

A) $2356.00

Step-by-step explanation:

Principal, p = $1,500.00

Interest rate, r= 6.5%

Period, t = 7 years

compounded quarterly therefore, n = 4

Amount, A = P( 1 + r/n)^ n*t

A = 1500 ( 1 + 0.065/4)^ 4*7

A = 1500( 1 + 0.016)^28

A = 1500 ( 1.016) ^28

A = 1500 * 1.57

A = $2356.00

Answer:

3 dollars

Step-by-step explanation: divide 25 by .12=3.00

Answer:

$3

Step-by-step explanation:

25 X 1.12 = 28       $28-$25= 3 dollar difference.

(0.12 is the decimal form of 12%)

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Solution:

Given expression:

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

To solve the given expression:

First simplify: [tex]\frac{50-2 w^{2}}{3 w^{2}+9 w-30}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30}=-\frac{2(w+5)(w-5)}{3(w-2)(w+5)}[/tex]

Cancel the common factor (w + 5).

                      [tex]$=-\frac{2(w-5)}{3(w-2)}[/tex]

Now substitute this in the given expression.

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{2(w-5)}{3(w-2)} \cdot \frac{w^{2}+5 w-14}{6 w-30}[/tex]

Multiply the fractions [tex]\frac{a}{b} \cdot \frac{c}{d}=\frac{a \cdot c}{b \cdot d}[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{3(w-2)(6 w-30)}[/tex]

Factor the denominator [tex]3(w-2)(6 w-30) =18(w-2)(w-5)[/tex]

                               [tex]$=-\frac{2(w-5)\left(w^{2}+5 w-14\right)}{18(w-2)(w-5)}[/tex]                        

Cancel the common factor 2(w – 5).

                               [tex]$=-\frac{w^{2}+5 w-14}{9(w-2)}[/tex]

Factor the numerator [tex]w^{2}+5 w-14=(w-2)(w+7)[/tex]

                               [tex]$=-\frac{(w-2)(w+7)}{9(w-2)}[/tex]

Cancel the common factor (w – 2).

                               [tex]$=-\frac{w+7}{9}[/tex]

[tex]$\frac{50-2 w^{2}}{3 w^{2}+9 w-30} \cdot \frac{w^{2}+5 w-14}{6 w-30}=-\frac{w+7}{9}[/tex]

Answer:

b

Step-by-step explanation:

The car dealership sold 24 basic model cars and 16 fully-loaded model cars. This was determined by creating and solving a set of linear equations based on the given information.

This question can be approached using the method of linear equations. We know that the total number of cars sold is 40 and the total sales is $880,000. We can represent the number of basic model cars as 'b' and the fully-loaded model cars as 'f'. The cost of a basic model car is $20,000 and for a fully-loaded model, it is $25,000. Therefore, we can establish two equations:

The system of these linear equations could be solved either by Substitution or Elimination method. Through careful calculation, it can be found that the answer is b=24 (basic models) and f=16 (fully-loaded models).

So, the correct answer is Option B : The dealership sold 16 fully loaded models and 24 basic models.

https://brainly.com/question/32634451

#SPJ3

The area of the smallest square is one quarter of the original square if its height and width are each half of the original.

Using geometrical shapes' proportional relationships, the area of a scaled-down square is calculated by squaring the factor by which the dimensions are reduced.

The area of the smallest square can be determined by comparing it with the area of a larger square.

If the dimensions (height and width) of the smallest square are half that of the original square, then its area is a quarter (1/4) of the original square.

This is because area is a two-dimensional measurement, hence when both dimensions are halved, the area is reduced by a factor of 2×2, which equals 4.

For instance, if we consider a square with an area represented by T2, and we know that the smallest square has half the height and half the width, we can calculate its area as (1/2T)×(1/2T) = T2/4.

If the area of a larger square is 4 m2, halving the dimensions will lead to an area of 1 m2 for the smallest square.

This concept is applicable to any geometrical shape where the dimensions are reduced proportionally.

The scaling down of dimensions and the resulting area calculation is a key concept in understanding how areas of similar planar figures relate to each other.

Answer:

multiplicative inverse

Step-by-step explanation:

A number that is multiplied by it's multiplicative inverse equals one.

A multiplicative inverse is also called a reciprocal.

Example:

1/7 is 7's multiplicative inverse.

[tex]\frac{7}{1} *\frac{1}{7} =\frac{7}{7} =1[/tex]

Answer:

inverse

Step-by-step explanation:

Answer:  " 14 " .

________________________

     →  " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

  →  -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

      →  a(b + c)  =  ab + ac  .

________________________

As such, we can rewrite:  

      → -2(1 − 4x)  = (-2)(1) + (-2)(-4x) ;

                         =  - 2 + 8x ;

                       ↔  8x − 2 ;

________________________

Now, rewrite the entire expression:

 →  8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

      and add "2" to each side of the equation:

________________________

 →  8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:  

 →   5x = 10 ;

Now, divide each side of the equation by "5" ;

  to isolate "x" on side of the equation;

      & to solve for "x" ;

________________________

 →  5x/5 = 10/5 ;

to get:

________________________

 →  x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;  

      when "x = 2" :

________________________

Note the given equation:

________________________

   →   -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

   →  -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

   →  3(2) + 8 = 6 + 8 = 14 .

___________________________________

   → 14 =? 14 ??? ;  Yes!

___________________________________

Hope this is helpful to you!

___________________________________

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{2A}{3}[/tex] = 8 + 4A

Multiply through by 3 to clear the fraction

2A = 24 + 12A ( subtract 12A from both sides )

- 10A = 24 ( divide both sides by - 10 )

A = - 2.4 → A

Answer:

four x minus ten

Step-by-step explanation:

4x = four x

-10 = minus ten

Answer:

Four times a number x minus 10

Answer:4960

Step-by-step explanation:

Answer:

Look below

Step-by-step explanation:

Searched it up.

66

Answer:

abut 20.5 im sorry i dont quite know how to explain it

Step-by-step explanation:

Answer:

2x²+7x-4

Step-by-step explanation:

(x+4)(x-1/2)

First multiply (x-1/2) by 2.

We have (2x-1)

(x+4)(2x-1)

Expanding it, we have

x(2x-1)+4(2x-1)

2x²-x+8x-4

2x²+7x-4

Answer:

509.8

Step-by-step explanation:

The last one on 1/23

The angle formed between the ground and the bat is 62.04 degrees

From the given question, we have the following parameters:

Length of the bat = 32in

Measure of the distance from the bat to the ladder = 15in

angle of elevation

Using the SOH CAH TOA identity

Cos θ = adjacent/hypotenuse

Cos θ = 15/32

θ = arccos(15/32)

θ = 62.04degrees

Hence the angle formed between the ground and the bat is 62.04 degrees

Learn more on angle of elevation here: https://brainly.com/question/88158

Answer:

hemisphere.

Step-by-step explanation:

it is a hemisphere with radius=5 units.

or hemisphere with diameter=10 units

Answer:

A semisphere (half sphere) with diameter 10 units

Step-by-step explanation:

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Answer:

On Graph B, at 0 seconds, the graph will be 0 or nothing.

Then the graph will increase until 2 seconds.

Step-by-step explanation:

Answer:

5y

Step-by-step explanation:

All you have to do is subtract 1 from both side so subtract 1 from one side than the other. If you have to find out what y equals, then after subtracting, divide 5 from both sides and y would equal 5. Hope this helped

Answer:

1)  If you want to solve the equation, x is 0/5 or 0

2) If you want to subtract 1, the answer is 5y = 0

Step-by-step explanation:

1)  5y + 1 = 1

        5y = 0

2) 5y + 1 = 1      Subtract both sides by 1

         5y = 0     Isolate the variable by dividing 5 on both sides

            y = 0/5 or 0

Answer:

40

Step-by-step explanation:

72-32=40

Answer: 5x < 65

Step-by-step explanation: please give brainliest hope it helps and thankyou

Answer:

5x < 65

Step-by-step explanation:

Because 5*some number, you could use x.  then the less than symbol means that 5x is less than 65

Answer:

V = 50π ft³

Step-by-step explanation:

That "5 ft wide at the bottom" translates into "radius of (5/2) ft."

Volume of a cylinder of radius R and height H is V = πR²H, so here,

V = π(5/2)^2*8 ft³ or

V = π(25/4)(8) ft³, or

V = 50π ft³

Answer:

0.008375

Step-by-step explanation:

Answer:

hey

Step-by-step explanation:

8.375 can be written as

8375/1000

8375/ 10³

put in q

8375×10 power -3 × 10 power -3

8375× 10 power -6

0.008375

Answer:

216

Step-by-step explanation:

using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

We can use the Law of Cosines to find the length of side ( p ) (opposite angle[tex]\( \angle P \))[/tex] when we know the lengths of the other two sides [tex]\( q \) and \( r \)[/tex] and the angle [tex]\( \angle P \)[/tex].

The Law of Cosines formula is:

[tex]\[ c^2 = a^2 + b^2 - 2ab \cos(C) \][/tex]

In this case, we want to find the length of side \( p \), so we'll use \( p \) as the side opposite angle \[tex]( \angle P \), \( q \) as side \( q \), and \( r \) as side \( r \)[/tex].

Substitute the given values into the Law of Cosines formula:

[tex]\[ p^2 = q^2 + r^2 - 2qr \cos(\angle P) \]\[ p^2 = (6.0)^2 + (7.2)^2 - 2(6.0)(7.2) \cos(27^\circ) \]\\[/tex]

Now, calculate the value of \( p \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \cos(27^\circ) \][/tex]

Using a calculator, find \( \cos(27^\circ) \approx 0.891 \):

[tex]\[ p^2 = 36 + 51.84 - 86.4 \times 0.891 \]\[ p^2 = 36 + 51.84 - 77.02 \]\[ p^2 = 10.82 \][/tex]

Take the square root of both sides to solve for \( p \):

[tex]\[ p = \sqrt{10.82} \approx 3.29 \][/tex]

So, using the Law of Cosines, we can find that the length of side ( p ) is approximately 3.29 units.

3/4 of the students did not go on the field trip.

On Monday, 3/12 of the students went on a field trip.

To find out what fraction of the students did not go on the field trip, we need to subtract the fraction that went on the field trip from the whole student body, which is represented by the fraction 1 or 12/12.

Let's perform the subtraction step-by-step:

Therefore, 3/4 of the students did not go on the field trip.

1. Remove parentheses

-3x^2 + x^4 + x + 2x^4 - 7 + 4x

2. Collect like terms

-3x^2 + (x^4 + 2x^4) + (x + 4x) - 7

3. Simplify

-3x^2 + 3x^4 + 5x - 7

Answer:

62 inches

Step-by-step explanation:

Answer:

Probability breaks down to this basic formula:

    desired outcome    

total possible outcomes

Also, you need to know there are 13 spades in a deck of cards.

So, on your first draw, the chances of getting a spade are:

13    (desired outcome: pick one of the 13 spades)

52    (total possibilities: 52 cards in the deck)

But on your second draw, if you don't replace the card, your chances of getting a spade are:

12

51

because you only have 12 spades left, and 51 cards total.

Then, on your last draw, the chances of getting a spade are down to:

11

50

Since each of these probabilities depend on each other, you multiply them up to get your overall probability:

13 * 12 * 11 =   1,716

52    51    50    132,600

This reduces, or you can just divide to get a decimal.

Step-by-step explanation:

Final answer:

To simplify the given expression, we combine like terms to get 8x+2.

Explanation:

This question can be answered by having basic understanding of rules of operations in algebra in general and about addition of expressions in particular

The expression

x+x+x+2x+x+x+2x can be simplified by combining like terms. This means adding together the coefficients of the same variables.

Combining

x terms gives 3x and combining 2x terms gives 4x. The expression becomes 3x+4x+x+x+2.

To further simplify, we can combine the like terms 3x, 4x and x to give

8x. Finally, we combine 8x and 2 to get the simplified expression 8x+2.

Therefore, the required answer of the question asked is 8x + 2.

To find the equivalent expressions to \( x + x + x + 2x + x + x + 2x + x + x + 2 \), we can perform some simplification by combining like terms.
Let's start by combining all the terms with \( x \) coefficients. When we add or combine like terms, we just sum their coefficients, keeping the variable \( x \) unchanged.
Here are the terms with \( x \) in them:
\( x + x + x + 2x + x + x + 2x + x + x \)
Now, let's add them up:
\( 1x + 1x + 1x + 2x + 1x + 1x + 2x + 1x + 1x = 11x \)
We just counted the number of \( x \)'s and there are eleven of them, hence \( 11x \).
Now let's consider the constant terms (the numbers without variables):
\( 2 \)
Since there is only one constant term, we don't need to combine it with anything else.
Now, we add the sum of the \( x \) terms to the constant term:
\( 11x + 2 \)
Therefore, the expression \( x + x + x + 2x + x + x + 2x + x + x + 2 \) simplifies to:
\( 11x + 2 \)
This is the equivalent expression to the original one given.

Answer:

0.64

Step-by-step explanation:

Sine and cosine of angles are complimentary

This means

Sin x = Cos (90-x)

Cos x = sin (90 - x)

Therefore sin 40 = 0.64

Sin 40 = cos (90 - 40)

Sin 40 = cos 50

Cos 50 = 0.64

I hope this was helpful, please mark as brainliest