Solve: – 17 < 2x – 3 < 5 - Give your answer as an interval.

Need help...........

Kay [80]

The commutative property is when you can change the order and it will be the same answer.

6 + 8 + 7 = 7 + 8 + 6 would be your answer.

3 0

3 years ago

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What is answer to 12=4x what is x

krek1111 [17]

Division Property of Equality.
Always use opposite operation with side that contains variable.

Isolate variable.
Divide 4 by 4 to get it by itself.

Now do the same to other side.
$12\div4=3\\x=3$

6 0

3 years ago

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The classroom had 35 glue sticks. If the ratio of glue sticks to glue bottles was 5 : 2, how many glue bottles did the classroom

Marat540 [252]

Answer:

14 glue bottles.

Step-by-step explanation:

Let's use a ratio:

sticks : bottles

5 : 2

35 : 14

There are 14 glue bottles in the classroom.

7 0

3 years ago

5. Write an expression to represent "Six more than the difference of a number and three."

ki77a [65]

N-3+6
i dot believe that is the correct answer have an amazing day love ;)

7 0

3 years ago

The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th

inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4 -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

$y(y-2)=100$

$y^2-2y=100$

subtracting 100 from both sides

$y^2-2y-100=0$

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

$ax^2+bx+c=0$

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

$y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

Solving first

$y=\frac{2+\sqrt{4+400}{2}$

$y=\frac{2+\sqrt{404}{2}$

$y=\frac{2+20.099}{2}$

$y=\frac{22.099}{2}$

$y=11.049$

Solving second one

$y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}$

$y=\frac{2-\sqrt{4+400}{2}$

$y=\frac{2-\sqrt{404}{2}$

$y=\frac{2-20.099}{2}$

$y=\frac{-18.99}{2}$

$y=-9.045$

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0

3 years ago