pls help asap
Consider the following pair of equations:


y = 3x + 3

y = x − 1


Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answer:

Dad=35, Son=15

Step-by-step explanation:

Well since the dad is 20 year older then the son we can call the son x and the dad x+20. Now five years ago the father was 3 times older then the so we construct the following equation:

x+20−5=3(x−5)

x+15=3x-15

x=15

So now we know that the sons age is 15 meanimg that since the dads 20 years older then him, his age is 20+15 which is 35!

Answer:

108.51

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

The number of comedy films will be:

= 6/(6+8+1) × 135

= 6/15 × 135

= 54 comedy films

The number of action films will be:

= 8/(6+8+1) × 135

= 8/15 × 135

= 72 action films

The number of horror films will be:

= 1/(6+8+1) × 135

= 1/15 × 135

= 9 horror films

[tex]7x \times x - 5[/tex]

Pemdas!

7x·1x=7x

[tex]7x - 5[/tex]

This equation can't be evaluated, but you could make up. an answer by yourself, this is just the other way of saying x7·x-5

Answer:

7x²-5

Step-by-step explanation:

hope it helps

Step-by-step explanation:

As we can see it is a parallelogram so here the diagonals bisect so

6y + 1 = 4y + 9

6y - 4y = 9 - 1

2y = 8

y = 8 / 2

y = 4

2x - 5 =x + 7

2x + x = 7 + 5

3x = 12

x = 12 / 3

x = 4

Hope it will help :)

Answer:

50.65 grams

Step-by-step explanation:

Answer:

Step-by-step explanation:

Total amount of salt =  38.1 + 12.55 = 50.65 grams

38.10 +

12.55

50.65

Answer:

B

Step-by-step explanation:

Pythagorean theorem:

6^2 + (4/2)^2 = x^2

36 + 4 = x^2

40 = x^2

x = [tex]\sqrt{40}[/tex]= [tex]2\sqrt{10}[/tex]

Answer is B

5/6 - 3/8

Rewrite the fractions to have a common denominator:

5/6 x 4 = 20/24

3/8 x 3 = 9/24

Now you have 20/24 - 9/24 = 11/24

The answer is D. 11/24

Answer:

D. 11/24

Step by Step Explanation:

Just use cymath.

Answer:

3.9

Step-by-step explanation:

3.98371685

Answer

[tex]\frac{573}{400}[/tex]

step-by-step explanation:

[tex]\frac{1.4325}{1}[/tex] ×  [tex]\frac{10000}{10000}[/tex]  =  [tex]\frac{14325}{10000}[/tex]

Simplify

[tex]\frac{14325}{10000}[/tex] ÷[tex]\frac{25}{25}[/tex] = [tex]\frac{573}{400}[/tex]

Answer:

The first one is 0.6

The second one is -2.8

The third one is -3

Step-by-step explanation:

Have a nice day! :)

Answer:

13.7

Step-by-step explanation:

fill the numbers in using pythagorean theory

[tex]a^{2} + b^{2} = c^{2}[/tex]

(the hypotenuse has to be [tex]c^{2}[/tex])

[tex]9.2^{2} + b^{2} = 16.5^{2}[/tex]

[tex]84.64 + b^{2} = 272.25[/tex]

[tex]b^{2} = 187.61[/tex]

(to get [tex]b[/tex] alone you have to find the square root of both sides)

[tex]b = 13.69707[/tex]

round that and you get

[tex]b = 13.7[/tex]!

Answer:

ASA

Step-by-step explanation:

Answer:

5,000000

Step-by-step explanation:

so imultiplyied

Answer:

x=1

Step-by-step explanation:

First you will distribute it

U basically multiply the 3 by the X and the 7 here

-3 x (x = -3x And the 7 becomes a 21

Then you add the 2

21 + 2 = 23

Then you add the -3

-3x + 23 =20

Then using the equation above you subtract 23 from both sides

(-3 + 23) - 23 = 20 - 23

Then you simplify it

-3x = -3

Then you divide them using the same term

  -3

÷ -3

Then you simplfy it and you get

x=1

Answer:

Step-by-step explanation:

11). 6x + 3y = 9

    3(2x + y) = 9

    2x + y = 3

    y = -2x + 3

    Since variables are of single degree therefore, it's a linear function

12). 3y - 2x = -2x - 12

     3y - 2x + 2x = -2x - 12 + 2x

     3y = -12

      y = -4

     Since variable y is of single degree therefore its a linear function.

13). 11y + 4x = -8 + 11y

     11y + 4x - 11y = -8 + 11y - 11y

     4x = -8

      x = -2

      Linear function.

14). 4x - 3 + 2y = 8x - 9

     4x + 2y - 3 - 4x = 8x - 4x - 9

     2y - 3 = 4x - 9

     2y = 4x - 9 + 3

     2y = 4x - 6    

      y = 2x - 3

      Linear function.

Answer:

x= 7

Step-by-step explanation:

Theorem:  The sum of the angles of a triangle is 180

Memorize that theorem

8x - 9 + 63 + 70 = 180

8x + 124 = 180

8x = 56

x= 7

Answer:

46-38-27-15+13+2

=-17

Answer:

length times width for area so its 5x6=30

Answer:

37

Step-by-step explanation:

k(x) = 4x2 + 1

[tex] = 4( - 3) {}^{2} + 1 \\ 4(9) + 1 \\ 36 + 1 \\ 37[/tex]

Answer:

10 miles

Step-by-step explanation:

Answer:

I deposit $500 in my bank from my check this week. I have to withdraw $550 from my bank to pay my medical bills. I am short -55/55 dollars so I wait to pay my medical bills.

I owe $60 to my school for damage on a school laptop. I only have $5 so I am 55 dollars short.

I withdraw $2,000 from my bank to deposit $1950 a week later. I want to deposit the same amount of money I put last week. I am short 55 dollars.

Step-by-step explanation:

I put different scenarios because I didn't know if any of them were good enough.

If the perimeter is 3(2v-6)

Than

Pull out like factors : 2v - 6  =   2 • (v - 3)

Final result : 6 • (v - 3)

Given the result your answer would be 6.

Answer:

y=2x-2

Step-by-step explanation:

The slope is 2 and your y intercept is already given as -2.

Slope intercept is basically y=mx+b

plug it in so you get y=2x-2

Answer:

(4p^2+3)(p+2)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

7 squared + 10 squared = 149

13 squared = 169

As you can see these two products are not equal. They have to be equal to be a right triangle.

So this triangle is not a right triangle.

Hope that helped you and have a great day!

Answer:

No it is not.

Step-by-step explanation:

Let h = 13, p = 10 and b =7

Using pythagoras theorem,

h² = p² + b²

13² = 10² + 7²

169 = 100 + 49

169 = 149

This is false so the triangle is not a right angled triangle.

To find what needs to be added subtract the two numbers:

19/21 - 11/21 = 8/21

You need to add 8/21 to 11/21 to get 19/21