What are the solutions to the following system of equations:
2x+y=9
3x - y = 16

Answer:

76 cm.

Step-by-step explanation:

56 times 2 is 112

264-112=152, divide by 2

152/2=76

Answer:

76 cm

Step-by-step explanation:

Perimeter is the sum of all sides of a rectangle. It can also be thought of as 2 times the width plus 2 times the width.

[tex]P=2L+2w[/tex]

Rearranging to solve for length:

[tex]2L=P-2w[/tex]

[tex]L=\frac{P-2w}{2}=\frac{264-2(56)}{2}=\frac{152}{2}=76[/tex]

The length is 76 cm.

Answer:

x= 7, the number is 7

Step-by-step explanation:

4x-9= 19

4x=28

x=7

Answer:

4x - 9 = 19

Step-by-step explanation:

We can represent 4 times any numbers as 4x.

Then they want 9 less than 4x. This means that they want 4x but 9 units shorter. So to make 4x 9 units shorter, you would take away 9 from 4x which is represented as 4x - 9. A common mistake is writing this as 9 - 4x.

They also want 4x - 9 to be the same, or equal to, 19. So to equate both expression, you would add the equals sign between both expressions.

Answer:

Step-by-step explanation:

He made a mistake at step 2.

it is same as x² - 9x + 20 = 0

It should be:

Let's solve

[tex]\\ \sf\longmapsto x^2-12x=-20[/tex]

[tex]\\ \sf\longmapsto x^2-12x+20=0[/tex]

[tex]\\ \sf\longmapsto x^2-10x-2x+20=0[/tex]

[tex]\\ \sf\longmapsto x(x-10)-2(x-20)=0[/tex]

[tex]\\ \sf\longmapsto (x-10)(x-2)=0[/tex]

[tex]\\ \sf\longmapsto x=10\:or x=2[/tex]

Option B

Answer:

Step-by-step explanation:

Daily growth rate is 13% with initial values of 2600 bacteria.

The equation is:

Find the hourly rate x considering 1 day = 24 hours:

Percentage rate of change per hour is:

Hello there! :)

4m+2m-m+2m-2m

We can see that 2m-2m cancel out:

4m+2m-m

Now just add all the m's:

6m-m

5m

Hope this helps! :)

[tex]GraceRosalia[/tex]

Step-by-step explanation:

[tex]\mapsto 4m+2m-m+2m-2m\\\\\mapsto 4m+2m+2m-m-2m\\\\\mapsto 8m-3m\\\\\dashrightarrow 5m[/tex]

Answer:

[tex]\frac{9x}{2}[/tex] - 16

Step-by-step explanation:

8.5x - 2(2x + 8)

Use the distributive property to multiply −2 by 2x+8.

8.5x - 4x - 16

Combine 8.5x and −4x to get 4.5x.

4.5x - 16

= [tex]\frac{9x}{2}[/tex] - 16

Answer:

1+1=2

Step-by-step explanation:

quick maff

Answer:

It's easy 1+1=2

Step-by-step explanation:

1 +1 =2

let me expalin.

you have an apple then I gave you I more apple then how much apple do you have ?

it's easy 1+1=2

Answer:

the total angle in linear pear is 180°

let the angles be 4x and 5x

4x+5x=180°

9x=180°

X =20°

again

4x=4×20°=80°

5x=5×20°=100°

Answer:

The answer is A: -3<9 and -3<9

Step-by-step explanation:

because -3 is less than 9

Question: 6z ^2 (7z^2 + 3z- 2)

Answer: 42z^4 + 18z^3-12z^2

(hope this helps) :)

Answer:

8 - 5x

Step-by-step explanation:

Let the number be 'x'

Product of 5 and 'x' = 5*x = 5x

8 - 5x

it a or d make your decision

Answer:

16

Step-by-step explanation:

10+6=16 sheeesh

Answer: -4

Step-by-step explanation:

Count back 6 times from -10 towards 0.

Answer:

t=7x3

t=21

Step-by-step explanation:

hope this helps you!!!

Answer:

21

Step-by-step explanation:  T/7= 3 so t= 7×3= 21

21÷7=3

Answer:

24

your welcome

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

To find the area of a trapezoid it is:

[tex]A= \frac{a+b}{2}h[/tex]

Where h is the height, b is the base, and a is the "top base," so our values are:

h = 5

b = 9

a = 6

Plug them in and solve:

[tex]A= \frac{a+b}{2}h[/tex]

[tex]A= \frac{6+9}{2}5[/tex]

[tex]A= \frac{15}{2}5[/tex]

[tex]A = (7.5)(5)[/tex]

[tex]A = 37.5[/tex]

The area of the rectangle is found by using:

[tex]A=bh[/tex] where b is the base and h is the height. So our values are:

b = 6

h = 5

Plug in and solve:

[tex]A=bh[/tex]

[tex]A=(6)(5)[/tex]

[tex]A = 30[/tex]

Subtract the rectangle from the trapezoid:

37.5 - 30 = 7.5

Answer: 7.5

Hope this heps, have a nice day :D

Answer:

35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

Order of Operations = PEMDAS

IN ORDER:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Problem: 3(18-7)+2

Step 1: 3X18=54 3X-7= -21

Step 2: 54-21+2

Answer:

$699.52

Step-by-step explanation:

Theres two ways to solve this.

(1) You can either find 7 percent of 653.76 and then add it on

or

(2) You can just multiply the tax with the 653.76

Option (1)

You find 7 percent of 653.76. Now percent means out of a hundred so 7 percent is really 7/100 or 0.07

Now you multiply 653.76 by 0.07 which is 45.76 (rounded to nearest cent)

Now add it up to the total.

653.76+45.76= $699.52

Option (2)

This is the easier method in my opinion. SInce you want to find the total of the product including tax. The tax is technically multiplying the total. The total of course is 653.76 and total means everything. Everything means 100%. So you can add 100% to the tax cause technically thats what your doing becuase you grinding 7percent of the total which is 100 percent. So in this case your price is increasing by 107 percent.

(Example)

So If you want to find 100 percent of a product it would be the same exact result. Like 100 percent of 653.76 is 654.76… So using that we can just add the amount of tax to the 100%. 100+7=107%

Proof that this works is this

usually when you want to find a percentage of something, you turn the percentage into a decimal then multiply. So 100 percent of 653.76 is 653.76*1.00 which is 653.76. So the 100 percent is a place holder to prevent you from doing more steps. Now just add 7 percent since your increasing the total by 7 percent (tax). Now its 653.76*1.07 which when solved you would get $699.52. The same exact result. Less steps same result.

Final answer: $699.52

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

X= 2 or x =1

If this answer was helpful then please mark it as the brianliest

Step-by-step explanation:

To understand geometry, it is easier to visualize the problem and then draw a diagram. If you're asked about some angles, draw them. Relationships like vertical angles are much easier to see in a diagram; if one isn't provided, draw it yourself.

Answer:

hope you like my answer is 75a²xy⁴

Answer:

See below.

Step-by-step explanation:

5x^2 y a y

3a y x^2

Can be written as:

5x^2 y^2 a + 3a y x^2

Add like terms:

5ax^2y^2 + 3ax^2y

The sum is 5ax^2y^2 + 3ax^2y

The sum has more than one term, so the sum is not a monomial.

For detailed, step-by-step explanations you can visit my fiverr account: kesja_

I provide detailed explanations for math questions for as little as $1!

Answer:

1/3

Step-by-step explanation:

Answer: 1/6 of the pie is left

Step-by-step explanation: 2/3 x 2 = 4/6

                                             1/2 x 3 = 3/6

                                             4/6 - 3/6 = 1/6

;#+#+£-;#;#;_£ajqjjqw

Step-by-step explanation:

2

Answer: Original size= 14.4 ounce x 100/120

                  =12 ounce

Answer:

the answer is 12

Step-by-step explanation:

please see solution picture

Answer:

128 degrees

Step-by-step explanation:

Angles on a straight line equals 180⁰

180⁰-52⁰=128⁰

Answer:

110

Step-by-step explanation:

Z4=180-70:110‌ ‌ ‌ ‌ ‌ ‌

Answer:

5

Step-by-step explanation:

4x = 20

4/4= 20/4

  x = 5