How many solutions does
Y = 2x + 10
3y - 6x = 30
Show all work

A no solution
B one solution
C infinity solutions

Subtracting eq(2) from eq(1)

[tex]\\ \tt\hookrightarrow -2y=-122[/tex]

[tex]\\ \tt\hookrightarrow y=61[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow 5x+3(61)=308[/tex]

[tex]\\ \tt\hookrightarrow 5x+183=308[/tex]

[tex]\\ \tt\hookrightarrow 5x=308-183[/tex]

[tex]\\ \tt\hookrightarrow 5x=125[/tex]

[tex]\\ \tt\hookrightarrow x=25[/tex]

Answer:

B)  -1,-4,-7,-10,........

The first five terms

-1,-4,-7,-10,........

Step-by-step explanation:

Explanation:-

Given that the explicit rule

           [tex]a_{n} = -3n +2[/tex]

Put n=1  

   ⇒ a₁ = -3(1) +2

       a₁  = -1

Put n=2

⇒  a₂ = -3(2)+2

      a₂ = -6+2

     a₂  = -4

Put n=3

  a₃ = -3(3)+2

  a₃ = -9+2

 a₃ = -7

Put n=4

a₄ = -3(4)+2

a₄ = -12+2

a₄ =-10

The first five terms

-1,-4,-7,-10,........

Answer:

$3.03

Step-by-step explanation:

7x + $3.60 = $24.81

Subtract $3.60 from both sides of the equation:

7x + $3.60 - $3.60 = $24.81 - $3.60

7x = $24.81 - $3.60

7x = $21.21

Divide each side by 7:

(7x/7) = ($21.21/7)

x = ($21.21/7)

x = $3.03

Answer:

Las matemáticas son la ciencia que se ocupa de la lógica de la forma, la cantidad y la disposición. Las matemáticas están a nuestro alrededor, en todo lo que hacemos.

Mathematics is the science that deals with the logic of form, quantity, and arrangement. Mathematics is all around us, in everything we do.

Answer:

B

Step-by-step explanation:

I got it right on my assignment.

Answer:

to make information in database files available to workers

Answer:

(2,16)

Step-by-step explanation:

Answer:

ummm im so sorry but i forgot while answering

Step-by-step explanation:

opps

Answer:

t = 5

Step-by-step explanation:

110-90 = 20

20/4 = 5

[tex]\huge\boxed{\bf{Hi\:there!}}[/tex]

All we have to do to simplify this expression is multiply 8 by 12 and a:

8(12+a)

96+8a

That's our final answer.

[tex]\huge\boxed{\bold{Hope\:it\:helps!\:Good\:luck!}}[/tex]

[tex]\huge\mathfrak{LoveLastsAllEternity}[/tex]

The distributive property is defined as:

a x (b + c) = a x b + a x c

a x (b - c) = a x b - a x c

The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8(12 + a)

We will apply the distributive property.

The distributive property is defined as:

a x (b + c) = a x b + a x c

a x (b - c) = a x b - a x c

Now,

8 x (12 + a ) is in the form of a x (b + c)

So,

8 x (12 + a)

= 8 x 12 + 8 x a

= 96 + 8a

Thus,

The final value of the expression 8 x (12 + a) after simplification using the distributive property is 96 + 8a.

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Answer:

103

Step-by-step explanation:

first you would need to plug in the 5 to the equation, this would get you 4(5)^2+3 and then you would simplify the exponent which would get you 4(25)+3 then you would multiply 4x25 which would give you 100 finally you would add the 3 giving you the final produt of 103.

Answer:

103

Step-by-step explanation:

You would sub in 5 for w

4(5) ^2 + 3

you square the 5 and get 25 then multiply by 4 which gets your 100 and then add the 3 which gets the Final Answer as 103

Answer:

5 and 5 because the squre root of 5 is 25

Answer:

b

Step-by-step explanation:

Answer:

37.7

Step-by-step explanation:

Circumference= πD=2πr

C=2x3.142x6

C=37.704m

Rounded to the nearest tenth

C= 37.7m

Answer:

I believe it is 132 units but i may be wrong, im so sorry if i am! :)

Step-by-step explanation:

Answer: It would be the bottom triangle is 60 the right triangle is 36 the left rectangle is 24 and the left triangle is 12 so u add them together and get 132 units squared

Step-by-step explanation:

so its 132 units

Answer:

122-82= 40

Meaning that p= 40

Answer:

x= 4

Step-by-step explanation:

since x represent a variable. You are supposed to divide both sides by -6 to get that variable. So

-6x=-24/-6

(-24/-6 is 4)

Answer:

1 3/4

Step-by-step explanation:

Answer:

135 square feet

Step-by-step explanation:

area of base and top=2(1/2×6×2.5)=15 square feet.

area of three faces=(2.5+6+6.5)×8=15×8=120 ft

total surface area=15+120=135 square feet.

Answer:

I think the answer is 120 feet

Step-by-step explanation:

Answer:

19 degrees

Step-by-step explanation:

Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.

Thus it's a tangent function.

SOH

CAH

TOA <-----

Tangent is the opposite / adjacent

So we will be looking at doing an Arctan to find the angle.

Arctan α = [tex]\frac{1000}{2800}[/tex]  = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50

Your answer is 19 degrees

Answer:

The improper fraction 29/8 is equal to the mixed number 3 5/8.

Step-by-step explanation:

The fractions is solved and the improper fraction is A = 29/8

Given data ,

To change 3 5/8 into an improper fraction, we need to combine the whole number and the fraction part.

The fraction part, 5/8, can be expressed as an improper fraction by multiplying the whole number, 3, by the denominator of the fraction, 8, and then adding the numerator, 5. This gives us:

3 * 8 + 5 = 24 + 5 = 29

The denominator remains the same, so the improper fraction is:

A = 29/8

Therefore , the value of A = 29/8

Hence , 3 5/8 can be expressed as the improper fraction 29/8

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Answer:(x+3) is the other factor

Step-by-step explanation:

Answer:

(x+3)

Step-by-step explanation:

x2+8x+15

(x+5)(x+3)

Answer:

a

Step-by-step explanation:

Answer:

108 cubic feet

Step-by-step explanation:

Multipy Base, height, and width.=

Answer:

108 cubic feet

Step-by-step explanation:

Use the formula for finding the volume of a rectangular solid to solve the problem. V=lwh

Answer:

Step-by-step explanation:

1 + 02 = 03