What is the total? Add those together.

Answer:

x = (z - y)/(a - b)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

ax - bx + y = z

Step 2: Solve for x

Answer:

The solution for x will be:

[tex]x=\frac{z-y}{a-b}[/tex]

Step-by-step explanation:

Given the expression

[tex]ax-bx+y=z[/tex]

subtract y from both sides

[tex]ax-bx+y-y=z-y[/tex]

simplify

[tex]ax-bx=z-y[/tex]

Factor ax-bx = x(a-b)

[tex]x\left(a-b\right)=z-y[/tex]

Divide both sides by a-b;  a≠b

[tex]\frac{x\left(a-b\right)}{a-b}=\frac{z}{a-b}-\frac{y}{a-b};\quad \:a\ne \:b[/tex]

simplify

[tex]x=\frac{z-y}{a-b};\quad \:a\ne \:b[/tex]

Therefore, the solution for x will be:

[tex]x=\frac{z-y}{a-b}[/tex]

Answer:

3 3/16

Step-by-step explanation:

Length of the box L= 2 1/2m= 1 9/16 W

Width of box W = W

Height H=?

Volume V= 12 3/4m3

If L= 5/2 = 25/16 W

W= 16 × 5/2× 25

W= 80/50= 8/5 = 1 3/5

V= LWH

Hence height =

51/4 = 5/2 × 8/5 × H

H= 51/4 × 10/40 =51/16

H= 3 3/16

Answer:

x = 40°

Step-by-step explanation:

Both triangles can be regarded as similar triangles. Therefore, their corresponding angles would be congruent to each other.

Thus:

x = 180° - (75° + 65°)

x = 180 - 140

x = 40°

Answer:

On the highway, the cost to drive per mile is $2.21

Step-by-step explanation:

In the city the average distance per gallon is 15 miles

On the highway, he can drive 47% farther;

The distance he can cover on the highway per gallon will be;

15 + 47% of 15

= 15 + 0.47(15)

= 15 + 7.05 = 22.05

So on the highway, he can travel a distance of 22.05 miles

So the cost per mile on the highway would be;

$3.25 for 15 miles

$x for 22.05 miles

so we have the cost to drive per mile on the highway as;

(3.25 * 15)/22.05 = $2.21

Answer:

40+8w

Step-by-step explanation:

Heya! When it comes to using the distributive property, you multiply the numbers inside the parenthesis with the outside number. In that case, 5 and 8 gives you a product of 40, and 8 and w give you a product of 8w. I hope this helped! <3 (Please mark as brainliest if I got this right!)

Answer:

40+8w

Step-by-step explanation:

8x5+8w

Step-by-step explanation:

use this formula

given year/given year=(n-1)/(n-1)

here 6year =2times

3year=4times

6year/2year=(2-1)time/(4-1)time

6/x=1/3

x=18 years

Answer:

473 rounded to the nearest hundredth, would be 400.

Answer:

(5x+4)(2x-3)

Step-by-step explanation:

Answer: 32$

Step-by-step explanation: 8 x 4 = 32

32 divided by 4 = 8

Answer: C

Step-by-step explanation:

The missing side of the triangle is the hypotenuse. We are given the length for both legs. To find the midding leg, we need to use teh Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

A and b are the legs, while c is the hypotenuse. We plug in the legs and solve for c.

2²+3.6²=c²           [exponent]

4+12.96=c²          [add]

16.96=c²              [square root both sides]

[tex]c=\sqrt{16.96}[/tex]

Now that we have found the hypotenuse, we know the answer is C.

Hello!

[tex]\large\boxed{\sqrt{16.96}cm}[/tex]

Use the Pythagorean theorem to solve for the missing side of the triangle:

a² + b² = c²

Plug in the given side lengths to solve for "c", or the Hypotenuse:

(2)² + (3.6)² = c²

4 + 12.96 = c²

16.96 = c²

Take the square root of both sides:

√16.96 = c

Answer:

0.25

25%

Step-by-step explanation:

......................

Answer:

C.) -7/5

Step-by-step explanation:

To subtract fractions, we need to have common denominators. So first, we will change -1 1/5 to -6/5.

Now we will change the denominator of both -6/5 and 1/2 to 10.

We now have:

5/10 and -12/10

5-12=-7

So the answer would be -7/5

If we want to use the number line, we would first find 5/10 (1/2) on the graph and count down (to simulate subtraction) 12 units since we are subtracting by 12. :))

There is a 40 percent chance because there are more yellow tiles than green

Answer:1/15

Step-by-step explanation:

In total there are 6 marbles. 2 out of 6 are green so it'll be 2/6 green marbles. If one is taken away and put aside with no replacement, then it'll be 1/5. (1 out of the 5 marbles left) Then you'll multiply 2/6 and 1/5 and you'll get 1/15.

Answer:

x<(-10)

I hope it will be useful.

Step-by-step explanation:

2x > 3x + 10

Answer:N is 22.5 I think

Step-by-step explanation:

Half of 90 is 45 and N looks like half of P and half of 45 is 22.5

Answers:

a = 2

b = -1

c = 3

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

Work Shown:

(numerator)/(denominator) = quotient + (remainder)/(denominator

(2x^3-5x^2+4x-8)/(ax^2+bx+c) = x-2 + (bx-a)/(ax^2+bx+c)

2x^3-5x^2+4x-8 = (x-2)(ax^2+bx+c) + (bx-a)

2x^3-5x^2+4x-8 = x(ax^2+bx+c)-2(ax^2+bx+c) + (bx-a)

2x^3-5x^2+4x-8 = ax^3+bx^2+cx-2ax^2-2bx-2c + bx-a

2x^3-5x^2+4x-8 = ax^3+(bx^2+2ax^2) + (-2bx+cx+bx) + (-a-2c)

2x^3-5x^2+4x-8 = ax^3+(b+2a)x^2 + (-b+c)x + (-a-2c)

The x^3 term of the left hand side (LHS) is 2x^3, while the x^3 term of the right hand side (RHS) is ax^3. This must mean a = 2.

The x^2 term of the LHS is -5x^2. The x^2 term of the RHS is (b+2a)x^2

Plugging in a = 2 leads to (b+2a)x^2 turning into (b+4)x^2. Equating the two x^2 coefficients has us get b+4 = -5 solve to b = -1

Now focus on the x terms. The LHS has 4x and the RHS has (-2b+c)x. Plug in b = -1 to get (-b+c)x turn into (c+1)x. Set this equal to 4x and you should find that c = 3

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

In summary, we have:

a = 2

b = -1

c = 3

Note how the last term on the RHS is -a-2c = -2-2(3) = -8 which matches with the last term on the LHS. This helps confirm we have the correct values for a,b,c. Further confirmation would involve polynomial long division.

Answer:

a = 2; b = -1; and c = 3

Step-by-step explanation:

If the quotient of [tex]2x^3-5x^2+4x-8[/tex]  divided by [tex]ax^2+bx+c[/tex], gives   [tex]x-2[/tex]  , with a remainder of [tex]bx-a[/tex], then the product ( [tex]ax^2+bx+c[/tex],  ) * ( [tex]x-2[/tex] ) plus  [tex]bx-a[/tex]  should equal: [tex]2x^3-5x^2+4x-8[/tex]

And we can investigate the values of a, b, and c via operating the product and afterwards identifying like terms as shown below:

[tex](x-2) * (ax^2+bx + c)+bx-a= ax^3 +bx^2+cx-2ax^2-2bx-2c+bx-a=\\=ax^3+(b-2a)x^2+(c-2b+b)x-2c-a=2x^3-5x^2+4x-8[/tex]

And therefore, making the coefficients of like terms equal, we get:

[tex]a = 2\\b-2a=-5;\,\,and\,\, b=-1\\c-b=4;\,\,and\,c=3\\-2c-a=-6-2=-8[/tex]

Answer:

It would be option two: Bill's Electric Company charges 6 dollars per hour plus a flat rate of 15 dollars for a service call. If Monica has at least 100 dollars to spend, how many hours can the service man work?

Step-by-step explanation:

6 dollars an hour means it would be 6x.

A flat rate of 15 means there would be just 15 as a number, no x's.

And the sign is less than or equal to, so she has over a hundred dollars to spend.

A...................

Step-by-step explanatio

Answer:

1271.7in

Step-by-step explanation:

A complete rotation is = circumference of the wheel.

So calculate the circumference which is pi times diameter.

27 times pi (which is 3.14) = 84.78in   one rotation

so if you make 15 rotations, you are multiplying it by 15

15 x 84.78 = 1271.7in

Answer:

x=4

Step-by-step explanation:

10x-35=5

10x=5+35

10x=40

x=4

(distributive property was just multiplying 5 by both numbers in the parentheses)

Answer:

10x-35=5

10x=40

x=4

Step-by-step explanation:

prove me wrong

Answer:

your first answer is incorrect it is y= 2

y=6

y=8

The base price is $300 and $20 per guest, then the initial value will be equal to $300.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data mentioned in the question,

Base price = $300

Price per guest = $20 for up to 30 guests.

Then, the equation according to this will be,

$300 + $20(x)

Here, x is the number of guest, which is not more than 30.

Also, the initial value will be equal to the base value, which is 300.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ2

Answer:

3y=-6 ÷3

y=-2

Step-by-step explanation:

prove me wrong

Answer:

x=5

y=6

Step-by-step explanation:

-6x+6y=6               6x-6y=-6

-6x+3y=-12            -6x+3y=-12

                             -3y=-18

                           y=6

plug 6 into y for any equation

-6x+36=6

-6x=-30

x=5

Answer:

See attached picture.

Step-by-step explanation:

The idea of the shell method is to find the volume of a differential shell by using the formula:

[tex]V=2\pi\int\limits^a_b {rh} \, dr[/tex]

in the drawing we can see that r=x, h=sin x and dr=dx. The area is revolving about the y-axis from x=0 to [tex]x=\pi[/tex]. So the volume is found by using the following integral:

[tex]V=2\pi\int\limits^\pi_0 {xsin x} \, dx [/tex]

Answer:

F' : (-5,5)

G' : (0,5)

H' : (0,9)

Step-by-step explanation:

<33

Answer:

F = (-10,0)

G= (-5,0)

H= (-5,40

my explanation: We want to translate it to the left 5 units so if we move over the whole triangle 5 units to the left, this is your answer! Hope I could help. <3

Answer:

o,1

Step-by-step explanation: