What is the value of x in this system of equations? Express the answer as a decimal rounded to the nearest tenth.

-5x - 12y = -8
5x + 2y = 48

Final answer:

The dealer's cost for the car is $15,851.65 and the sticker price is $20,636.

Explanation:

To find the sticker price and dealer's cost for the car, we need to calculate the prices of the base price, options, and destination charges.

First, calculate the dealer's cost for the base price by multiplying 85% of the base price: $18,649 x 0.85 = $15,851.65.

Next, calculate the dealer's cost for the options by multiplying 70% of each option cost and summing them up: $453 x 0.70 + $612 x 0.70 + $386 x 0.70 + $290 x 0.70 = $845.20.

Finally, calculate the sticker price by adding the base price, options, and destination charges: $18,649 + $453 + $612 + $386 + $290 + $246 = $20,636.

Therefore, the dealer's cost is $15,851.65 and the sticker price is $20,636.

Answer:

x = 3

Step-by-step explanation:

3(x + 2) = 6(x - 1) + 3

Divide both sides by 3.

x + 2 = 2(x - 1) + 1

Distribute the 2 on the right side.

x + 2 = 2x - 2 + 1

Combine like terms on the right side.

x + 2 = 2x - 1

Add 1 to both sides. Subtract x from both sides.

3 = x

x = 3

Answer:

No solution

Step-by-step explanation:

Suppose the number is [tex]y[/tex] so ([tex]y = ...[/tex]).

Now [tex]y[/tex] is equal to twice a smaller number plus 3. Assuming the smaller number as [tex]x[/tex], we can write it as:

[tex]y = 2x + 3[/tex] --- (1)

Also, the same number [tex]y[/tex] is equal to twice the sum of smaller number and 1:

[tex]y=2x+1[/tex] --- (2)

Now for both of these equations, we need to find a point which satisfies them.

For example, for equation 1, take [tex]y=5[/tex] which means [tex]2(1) + 3[/tex] so the solution will be (1, 3).

Substituting the same value of y here in equation 2:

[tex]5=2(2)+1[/tex] so the solution for this will be (2, 5).

It means that there is no such point which can satisfy both the equations. Hence, there is no solution possible for these two equations.

Answer: The system of equations HAS NO SOLUTION.

Step-by-step explanation:

Let be "y" the first number and "x" the smaller number.

Since the first number  is equal to twice a smaller number plus 3, then:

[tex]y=2x+3[/tex]  (Equation 1)

Since the same number is equal to twice the sum of the smaller number and 1, then:

[tex]y=2(x+1)[/tex]

[tex]y=2x+2[/tex]  (Equation 2)

We need to remember that the equation of the line in Slope-Intercept form is:

 [tex]y=mx+b[/tex]  

Where "m" is the slope and "b" is the y-intercept.

You can observe in the Equation 1 that the slope of this line is 2 and you can notice in the Equation 2 that the slope of that line is also 2. Therefore, the lines are parallel and the system of equations has no solution.

Answer:

see explanation

Step-by-step explanation:

The value of the discriminant determines the nature of the roots

• If b² - 4ac > 0 then roots are real and distinct

• If b² - 4ac = 0 then roots are real and equal

• If b² - 4ac < 0 then roots are not real

Here b² - 4ac = 4 > 0

Hence roots are real and distinct

Answer:

Sometimes they are called algebraic postulates.

Step-by-step explanation:

Please mark brainliest and have a great day!

Answer:

$3400 after one year

$17400 after the 36 months

Step-by-step explanation:

3000+400*1=3400

3000+400*36=17400

After a year, $7,800 will have been spent on the car. The final cost of the car will be $16,800.

i) To find out how much money will have been spent after a year, we need to substitute the value of M with 12 (since there are 12 months in a year) in the formula S = 3000 + 400M. Therefore, S = 3000 + 400 × 12 = $7,800.

ii) The final cost of the car can be found by substituting the value of M with 36 (since there are 36 months of payments) in the same formula. Therefore, S = 3000 + 400 ×36 = $16,800.

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Answer:

Your answer is wrong.... M

Final answer:

The expression[tex]5^-8 * 7^-9[/tex]simplifies to 1 / [tex]5^8 * 1 / 7^9[/tex], which can be rearranged to 1 / [tex](35^8 * 7),[/tex] hence the correct answer is option B:[tex]1 / (7 * 35^8).[/tex]

Explanation:

The expression [tex]5^-8 * 7^-9[/tex] simplifies to:

([tex]1/5^8) * (1/7^9)[/tex]

[tex]1 / (5^8 * 7^9)[/tex]

We notice that [tex]5^8 * 7^9[/tex] can be rearranged to [tex](5*7)^8 * 7[/tex]

[tex]1 / (35^8 * 7)[/tex]

Finally, we get [tex]1 / (7 * 35^8)[/tex]which is option B.

Answer:

75

Step-by-step explanation:

Mode means the number that occurs the most. There can be more than 1 mode also no mode at all.

Looking at the number set closely, we see that "75" occurs twice and every number occurs once. Hence 75 is the mode.

Hello There!

The "MODE" is the numbers that occur most often in a set of numbers.

In this scenario, 75 would be the mode because it occurs twice, No other numbers in this data set repeat except 75.

Answer:

75 cm^2

Step-by-step explanation:

We have the lengths of two corresponding sides. The scale factor from the large triangle to the small triangle is 16/64 = 1/4. Each side of the smaller triangle is 1/4 times the length of the corresponding side of the large triangle.

For the areas, the scale factor is the square of the scale factor of the lengths. Area scale factor = 1/4^2 = 1/16.

The area of the small triangle is 1/16 the area of the large triangle.

area of small triangle = (area of large triangle) * (area scale factor)

area of small triangle = 1200 cm^2 * 1/6 = 1200 cm^2/16

area of small triangle = (1200 cm^2)/16 = 75 cm^2

Answer:

I would say 75cm^2.

For this case we must solve the following equation:

[tex]\frac {5} {6} x = \frac {10} {3}[/tex]

Multiplying by "6" on both sides of the equation we have:

[tex]5x = \frac {10 * 6} {3}\\5x = \frac {60} {3}\\5x = 20[/tex]

Dividing between 5 on both sides of the equation we have:

[tex]x = \frac {20} {5}\\x = 4[/tex]

So, the solution is [tex]x = 4[/tex]

Answer:

Option D

Answer: LAST OPTION.

Step-by-step explanation:

In order to solve for the variable "x" from the expression [tex]\frac{5}{6}x=\frac{10}{3}[/tex], you need to follow these steps:

1) You need to multiply both sides of the equation by 3:

[tex]3(\frac{5}{6}x)=(\frac{10}{3})(3)\\\\\frac{15}{6}x=10[/tex]

2)  You need to multiply both sides of the equation by 6:

[tex](6)(\frac{15}{6}x)=(10)(6)\\\\15x=60[/tex]

3) Finally, you can divide both sides of the equation by 15:

[tex]\frac{15x}{15}=\frac{60}{15}\\\\x=4[/tex]

Answer:

4

Step-by-step explanation:

Using the rule of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

let [tex]log_{4}[/tex] 256 = n, then

256 = [tex]4^{n}[/tex]

Note that 256 = [tex]4^{4}[/tex], hence

[tex]4^{4}[/tex] = [tex]4^{n}[/tex]

Since the bases are equal ( both 4) equate the exponents, hence

n = 4

Answer:

True

Step-by-step explanation:

we know that

A circle can be circumscribed about any regular polygon

A circumscribed circle surrounds a regular polygon, touching every vertex

[tex]|\Omega|=6^2=36\\|A|=3\cdot2=8\\\\P(A)=\dfrac{8}{36}=\dfrac{2}{9}[/tex]

Answer:  8 yds³ 22ft³ 1712 in³

Step-by-step explanation:

9 yds³ + 113 in³ - (4 ft³ + 129 in³)

Understand that you need to "borrow" 1 yd³ and convert it into ft³ and then "borrow" 1 ft³ and convert it into in³

Conversions:

[tex]1 yd^3\times \bigg(\dfrac{3ft}{1yd}\bigg)^3=\large\boxed{27ft^3}\\\\\\1ft\times\bigg(\dfrac{12in}{1ft}\bigg)^3=\large\boxed{1728in^3}[/tex]

The given equation:

   9 yds³ +  0 ft³    + 113 in³          

                - 4 ft³   - 129 in³

Borrow 1 yd³ to create 27 ft³:

= 8 yds³  + 27 ft³ + 113 in³

               -   4 ft³  - 129 in³

Borrow 1 ft³ to create 1728 in³:

= 8 yds³  + 26 ft³ + 1841 in³

               -   4 ft³  -  129 in³

= 8 yds³  + 22 ft³ + 1712 in³

Answer: What is the blood type of each person at the clinic?

Answer:

The correct answer for this is: rhombus.

Step-by-step explanation:

The name of a polygon that has four congruent sides with the angles measuring 60°, 120°, 60° and 120° is rhombus.

According to the properties of a rhombus, the opposite angles are equal and opposite sides are parallel.

However, the adjacent angles of rhombus are supplementary which means that they add up to 180°.

For example:

60° + 120° = 180°

Answer:

Rhombus

Step-by-step explanation:

A rhombus has 4 congruent sides and the opposite angle s are congruent. I will throw  in something extra a rhombus has perpendicular bisectors

Answer:

The correct answer is second option

380 square feet

Step-by-step explanation:

Area of composite solid = Base area + area of side rectangles + area of triangles

To find the area of base

Base area = length * width

 = 10 * 10 = 100 ft²

To find the area of side rectangle

There are 4 rectangles with length 10 ft and width 6 ft

Area = 4 * area of one rectangle

 = 4 * (10 * 6)

 = 240 ft²

To find the area of triangle

Here base of triangle = 10 ft and height = 7 ft

Area  of 4 triangles =4 * area of single triangle = 4 * (bh)/2

 = 4 *(10 * 7)/2 = 140 ft²

To find the total area =  Base area + area of side rectangles + area of triangles

 = 100 + 240 + 140

= 380 square feet

The correct answer is second option

380 square feet

Answer:

380

Step-by-step explanation:

Answer:

the answer would be the 3rd one :)

Step-by-step explanation:

Answer:

Hi there!

A way to remember how to do each way is: Soh Cah Toa

Sin- opposite over hypotenuse Cos- Adjacent over hypotenuse Tan- opposite over adjacent.

Hypotenuse is the longest the side of the triangle

and the adjacent side is the side laying near the symbol theta.  

Answer:

=-5

Step-by-step explanation:

The rate of change, the slope, can be found by using the formula for calculating the slope given two points on the line directly.... However what I like to do is just like up the points and subtract then put 2nd difference over first difference.

(-3  ,  0)

-(-2  , -5)

------------

-1         5

So the slope is 5/-1 which is just -5

Answer:

the anser is -5

Step-by-step explanation:

you better get 100 now good luck

Answer:

(-3, -4)

Step-by-step explanation:

The parabola shown here opens up.  The vertex is the lowest point of this graph.  The coordinates of the vertex are (-3, -4).  

Answer:

(-3, -4)

Step-by-step explanation:

your welcome

Answer:

x =-2 and z =-4

Step-by-step explanation:

We need to solve the following systems of equation

-3x-2y+4z = -16       eq(1)

10x+10y-5z = 30      eq(2)

5x+7y+8z = -21        eq(3)

Multiply eq(1) with 10 and eq(2) with 3

-30x-20y+40z = -160

30x+30y-15z = 90

__________________

10y+25z = -70

Divide by 10

2y+5z = -14      eq(4)

Multiply eq(1) with 10 and eq(3) with 6

-30x-20y+40z = -160

30x+42y+48z = -126

__________________

22y+88z = -286

Divide by 11

2y+8z = -26     eq(5)

Subtract eq(4) and eq(5)

2y+5z = -14  

2y+8z = -26      

-    -        +

__________

-3z = 12

z = 12/-3  

z = -4

Putting value of z in eq(4)

2y+5z = -14  

2y +5(-4) = -14

2y = -14 +20

2y = 6

y = 3

Putting value of z and y in eq(1)

-3x-2y+4z = -16

-3x-2(3)+4(-4) = -16

-3x -6 -16 = -16

-3x = -16+16+6

-3x = 6

x = 6/-3

x = -2

Answer:

y = [tex]\frac{1}{4}[/tex] x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x - 1 ← is in this form

with slope m = [tex]\frac{1}{4}[/tex]

• Parallel lines have equal slopes, thus

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation of the parallel line

To find c substitute (8, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = [tex]\frac{1}{4}[/tex] x + 3 ← equation of parallel line

Answer:

Part 1)

-31x - 19y=95

-14x + 19 y = 76

The solution is the point (-3.8,1.2)

The system is consistent independent

Part 2)

31x - 19y=95

14x + 19y = 76

The solution is the point (3.8,1.2)

The system is consistent independent

Part 3)

31x + 19y = 95

14x - 19y = 76​

The solution is the point (3.8,-1.2)

The system is consistent independent

Step-by-step explanation:

Part 1) we have

-31x-19y=95 -----> equation A

-14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

-31x-14x=95+76

-45x=171

x=-3.8

Find the value of y

-14(-3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (-3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 2) we have

31x-19y=95 -----> equation A

14x+19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)+19y=76

19y=76-53.2

y=22.8/19=1.2

The solution is the point (3.8,1.2)

The system has only one solution

therefore

The system is consistent independent

Part 3) we have

31x+19y=95 -----> equation A

14x-19y=76 ---> equation B

Solve the system of equations by elimination

Adds equation A and equation B

31x+14x=95+76

45x=171

x=3.8

Find the value of y

14(3.8)-19y=76

-19y=76-53.2

y=-22.8/19=-1.2

The solution is the point (3.8,-1.2)

The system has only one solution

therefore

The system is consistent independent

To determine the type of system, we need to look at the coefficients of the variables and the constants. For the system of linear equations:
```
31x - 19y = 95
-14x + 19y = 76
```
Let's perform the steps to find the solution:
1. We will use elimination or substitution to solve for the variables x and y.
2. We will verify the resulting solution to ensure that it solves both equations.
**Step 1: Elimination**
By adding the two equations together, the y terms will eliminate each other:
```
31x - 19y = 95
-14x + 19y = 76
-----------------
(31x - 14x) + (-19y + 19y) = 95 + 76
17x = 171
```
Divide both sides by 17 to solve for x:
```
x = 171 / 17
x = 10
```
**Step 2: Substitution**
Now that we have x, let's substitute it into one of the original equations to find y. We can use the first equation:
```
31(10) - 19y = 95
310 - 19y = 95
``
Subtract 310 from both sides:
```
-19y = 95 - 310
-19y = -215
```
Divide both sides by -19 to solve for y:
```
y = -215 / -19
y = 11.3158
```
The estimated values of x and y are (10, 11.3158). Since these are not exact values from the multiple choices, it seems there might be a rounding or calculation error. Let's recheck:
```
y = -215 / -19
y = 11.3158...
```
Given the options, the rounded value would be y = 11.3.
**Type of System:**
Given that we were able to find unique values for x and y, the system is "consistent-independent" because it has one solution.
**System with the Same Solution:**
A system with the same solution will have the same coefficients for the variables or will be multiples of one another.
**Estimated Solution:**
As worked out above, x = 10 and y ≈ 11.3. Since this isn't precisely written in the choices, we have to consider rounding for y, which would be approximately 11.3.
With these considerations, the answer to fill the table is:
- Type of System: consistent-independent
- System with the Same Solution: Not provided precisely, but typically it would have proportional coefficients.
- Estimated Solution: (10, 11.3 - considering the second decimal place)
Please note that since we're manually calculating the solution, there may be some approximation in the final values. If exact arithmetic were applied, you should expect to find a precise value for y that matches one of the options more closely.

Answer:

Unless there is more to the question than c = 2 because 30 /5 = 6 and if c is 3 than 3 = 6 so simplify if needed.

Answer:

c = 18

Step-by-step explanation:

Rewrite c / 3 equals 30 / 5 as:

 c       30

----- = -----

  3       5

Reduce 30/5 to 6/1:

 c        6

----- = -----

  3       1

Cross multiplying, we get 1c = 18, or c = 18.

Answer:

A and D on edge

just took the assessment

Answer:

a and d

Step-by-step explanation:

Answer:

The constant term is the area of weight room.

Step-by-step explanation:

A rectangular gym has an area of [tex]4x^2[/tex]  square feet

The school decides to add a new  weight room.

The total area of the gym and the weight room is [tex](4x^2+480)[/tex] ft^2.

Here, 480 is the area of the weight room because [tex]4x^2[/tex] is the area of gym and the total area will be addition of both the areas.

Hence, the constant term is the area of weight room.

The area of the weight room is 480 square ft and the constant term 480 represents the area of the weight room.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The area of the rectangular gym = 4x² square ft

The total area of the gym and the weight room = (4x² + 480) square ft

Let A be the area of the weight room:

Total area = area of gym + area of weight room

4x² + 480 = 4x² + A

A = 480 square ft

Thus, the area of the weight room is 480 square ft and the constant term represents the area of the weight room.

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The volume of a given piece of aluminum is 92.6 mL.

Given: A piece of Aluminum.

Mass = 250 g

Density = 2.7 g/mL

We need to find the volume.

We know, density is given by:

⇒ Density = Mass / Volume

⇒ Volume = Mass / Density

⇒ Volume = 250/2.7

⇒ Volume = 92.6 mL

Therefore, the volume of the piece of aluminum is 92.6 mL.

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Answer:

Step-by-step explanation:

135 m2