Evaluate the expressions
1)4x+12-3x+8
2)-8x+1+2x-1+6x
3)4x-3-2x-5
4)100x5-5x+5
5)-4x-4-2-5x
6)2x-1+2x-4+y
7)5y-x+2y-y+5
8)-15+3y-3x-2y+4x
9)4-3y+3x-2x-y

Step-by-step explanation:

Soln

given,

from the figure

coordinate of B is (5,3),

A(7,0) and C(0,4)

A. solution

let, M(x,y) be the mid point of AB

A(7,0) = (x1,y1)

B(5,3) = (x2,y2)

we know

x = (x2+x1)/2

or, x = (5+7)/2

or, x = 12/2

or, x = 6

and for y

y = (y2+y1)/2

or, y = (3+0)/2

or, y = 3/2

therefore M(x,y) = (6,3/2)

B. solution

let,

C(0,4) = (x1,y1)

B(5,3) = (x2,y2)

equation of line is ;

(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)

or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)

or, (y - 4)/(x - 0) = -1 / 5

by cross multiply

or, 5×(y - 4) = -1×(x)

or, 5y - 20 = -x

or, x + 5y = 20 is the required equation.

Step-by-step explanation:

given

a = - 3

3a² = 3 * ( -3) ²

= 3 * 9

= 27

The value of 3a² is 27.

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Perimeter of rectangle = 192 in

Length = x

Width = [tex]\frac{1}{2}x[/tex]

We need to find the length and width.

The formula used is: [tex]Perimeter\:of\:rectangle=2(Length+Width)[/tex]

Putting values and finding value of x

[tex]Perimeter\:of\:rectangle=2(Length+Width)\\192=2(x+\frac{x}{2} )\\192=2(\frac{2x+x}{2} )\\192=2(\frac{3x}{2} )\\192=3x\\x=\frac{192}{3}\\x=64[/tex]

So, we get x = 64

The length of rectangle x = 64

The width of rectangle = [tex]\frac{1}{2}x[/tex] = [tex]\frac{64}{2} = 32[/tex]

So, Length of rectangle = 64 inches

Width of rectangle = 32 inches

Answer:

Length of rectangle = 64 inches

Width of rectangle = 32 inches

Step-by-step explanation:

Answer:

so since their goal is to get $450 and each candy box is $3.75, what you do is  divide $3.75 by $450 you will get $120, soooooooooooooooooooooooooooo you times $3.75 by $120 you will get $450.

Step- by-step explanation:

Answer:

Angle Y < Angle Z

Step-by-step explanation:

Answer:

angle X < angle Y

Step-by-step explanation:

........

Answer:

=11n+2+8n+16+2n+2 simplification is 11n+20+2N

Step-by-step explanation:

Answer:

We are given

We are also given  and , which allows us to rewrite the equation as

(I substituted every "b" with "a" and every "c" with "9").

The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.

The required measure of side a of the rectangular prism is a = 9.3 meters.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3

Since the negative measure of length can be neglected.
a = 9.3 = b

Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.

Learn more about the surface area here: https://brainly.com/question/2835293

#SPJ5

Answer:

Assuming that the x2 is x squared, B

Step-by-step explanation:

(1)(1) + 5(1) - 6 = 1 + 5 - 6 = 6 - 6 = 0

(-6)(-6) + 5(-6) - 6 = 36 - 30 - 6 = 6 - 6 = 0

Answer:

B

Step-by-step explanation:

Let's solve using factoring.

x²+5x-6=0

5 is the sum of the numbers, while -6 is their product.

Think: which two numbers add up to 5, but when multiplied, equal -6?

Those numbers are -1 and 6.

Now factor the polynomial:

(x-1)(x+6)=0

split into parts:

(x-1)=0

x-1=0

x=1

(x+6)=0

x+6=0

x=-6

So B

Hope this helps!

Answer:

%167

Step-by-step explanation:

5 divided by 3 is 1.67 so times that by 100 and you get %167

Answer:

166.666666666667%

Step-by-step explanation:

Convert fraction (ratio) 5 / 3 Answer: 166.666666666667%

Answer:

y = 9.5

Step-by-step explanation:

Express the ratios in fractional form, that is

[tex]\frac{1.5}{4}[/tex] = [tex]\frac{9}{2y+5}[/tex] ( cross- multiply )

1.5(2y + 5) = 36 ( divide both sides by 1.5 )

2y + 5 = 24 ( subtract 5 from both sides )

2y = 19 ( divide both sides by 2 )

y = [tex]\frac{19}{2}[/tex] = 9.5

Answer:

y= 45

x=9

Step-by-step explanation:

plug 5x into y since y=5x:

5x=4x+9

-4. -4

x=9

5(9)=45

Answer:

x=9 y=45

Step-by-step explanation:

y=4x + 9.......(1)

y= 5x.........(2)

Substitute 5x for y in equation 1.

5x= 4x + 9

5x - 4x = 9 (Collect like terms 5 and 4 have x in common if +4 crossover it changes to -4)

x = 9

substitute 9 for x in equation 2.

y = 5(9)

y = 5 x 9(multiplication)

y = 45

Answer:

A. 1,000 ml milk B. 3,500 g flour

Step-by-step explanation:

Divide: 250 divided by 8. You get 31.25.

Multiply: 31.25 times 32. You get 1,000

Divide: 140 divide by 8. You get 17.5

Multiply: 17.5 times 20. You get 3,500

Hope I helped!! :) Sorry if it's wrong! :(

Answer: The mass of the sun is 3.51 x 10^3 times greater.

Step-by-step explanation:

X= Mass of Sun/ Mass of Saturn

X= 1.998 x 10^30 / 5.69 x 10^26

1.998/ 5.69 = .351

10^30 / 10^26 = 10^4

You want to move the decimal a value so you would subtract 1 from 4

3.51 x 10^3

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

The sun’s mass is [tex]1.998 * 10^{30}[/tex] kg.

Saturn's mass is [tex]5.69 * 10^{26}[/tex] kg.

Let the mass of the Sun be X times more than the mass of the Saturn mass.

The equation that can be written as

1.998 × 10³⁰ = X × 5.69 × 10²⁶

On simplifying, the value f X will be

[tex]\rm X = \dfrac{1.998 * 10^{30}}{5.69*10^{26}}\\\\X = 3511.42 \\\\X = 3.511 * 10^3[/tex]

The mass of the Sun is 3.511 × 10³ (in scientific notation) times more than the mass of Saturn.

More about the division link is given below.

https://brainly.com/question/369266

Answer:

b=2

Step-by-step explanation:

Answer:

9, -8, 15

Step-by-step explanation:

Equation 1

[tex]5(x+7)-3(x-4)=7x+2 \\ \\ 5x+35-3x+12=7x+2 \\ \\ 2x+47=7x+2 \\ \\ 47=5x+2 \\ \\ 45=5x \\ \\ x=9[/tex]

Equation 2

[tex]4(3x+5)-3=9x-7 \\ \\ 12x+20-3=9x-7 \\ \\ 12x+17=9x-7 \\ \\ 3x+17=-7 \\ \\ 3x=-24 \\ \\ x=-8[/tex]

Equation 3

[tex]\frac{1}{3}(5x-9)=2\left(\frac{1}{3}x+6 \right) \\ \\ 5x-9=2(x+18) \\ \\ 5x-9=2x+36 \\ \\ 3x-9=36 \\ \\ 3x=45 \\ \\ x=15[/tex]

Answer:

x = 19

Step-by-step explanation:

x = Courtney's current age

14+x = Mary's current age

Mary's current age: 14 + 19 = 33

14 + x + 5 = 2x

19 = x

Answer:

x: -16

y: 4

Step-by-step explanation:

Step-by-step explanation:

I hope its clear.

try finding help from others...

mine could be wrong

Answer:

The answer is (-1,-10)

hope this helps

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

D. (-1, -10)

Step-by-step explanation: I put your question into a math calculator and got this as your answer. Good luck!

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

Answer:

it should be 0.000307

Step-by-step explanation:

Answer:

5/64

Step-by-step explanation:

1/8*5/8

Answer:

answer is B

5/64

Step-by-step explanation:

hope this helps!

Answer:

divide the numerator by the denominator

Answer:

A. Claie runs 5 km in a half hour. In 2 1/2 hours she runs 25 km.

B. Malia runs 2.5 miles in a half hour, and 12.5 miles in 2 1/2 hours.

C. Claire runs farther. She runs approximately 15.5 miles while Malia runs 12.5 miles.

Answer:

12e - 6f - 8

Step-by-step explanation:

(a+b)*c = a*c + b*c

6e * 2 -3f * 2 -4 * 2

Step-by-step explanation:

Time in hours is directly proportional to the number of newspapers.

3 hours = 450 newspapers

=> 4 hours = 450 * (4/3) = 600 newspapers.

Hence Joy can deliver 600 newspapers in 4 hours.

im not sure how to explain it, but i know its b

Answer: n = 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

take the 7 and minus it from 31 then divide 8 from 31

Answer:

y = x + 3

Step-by-step explanation:

y = mx + b

m is the slope

b is the y intercept

if m = 1 and b = 3 then

y = x + 3