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Artist 52 [7]
2 years ago
9

Determine the value of x. Write the answer in an inequity. Use x only once in the inequality

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
4 0

Answer:  1 < x < 25

<u>Step-by-step explanation:</u>

The sum of two sides must be GREATER than the third side.

      a +  b > c              a + c > b              b + c > a

     12 + 13 > x             12 + x > 13            13 + x > 12

          25  > x                     x > 1                      x > -1

           x < 25                     1 < x

Length cannot be negative so disregard x > -1

We are left with   1 < x  and   x < 25  

                                 1 < x < 25

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Amy and rob each improve thier yards by pmanting rose bushes and ivy. They brought thier supplies from the same store. Amy spent
Rzqust [24]

Answer: cost of 1 pot of ivy = $12

Cost of 1 rose bush =$ 10

Step-by-step explanation:

Step 1

Let rose bushes be represented as r

and pot of ivy be represented as p

such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as

7 r + p = 82----- eqn 1

Rob who spent 74 on 5 rose bushes and 2 pots of ivy can  be expressed as

5r +2 p = 74----- eqn 2

Step 2

Solving

7 r + p = 82----- eqn 1

5r +2 p = 74----- eqn 2

By elimination method Multiply eqn 1 by 5 and eqn 2 by 7

35r+ 5p= 410--- eqn 3

35r+ 14p =518--- eqn 4

Subtracting eqn 4 from eqn 3

9p = 108

p = 108/9

p=12

p = pot of ivy = $12

therefore rose bush  wll be ( from equation 1)

7r+ p= 82

7r=82-12

7r= 70 r= 70/7

r= rose bush =$ 10

5 0
3 years ago
Lisa draws a circle by tracing around the bottom of block. which could be the shape of Lisa's block
Andrej [43]
Let's think of something that one can hold against a page and draw a circle. Some examples are: a cup, a D battery, a can of soda, the tube from the inside of a paper towel roll, a can of beans, etc.

Think of the can of beans. The part that touches the page (and that you trace around with your pencil) is called a face.What these items have in common is that the faces at the ends are circles (they may or may not be the same size).

The name for this 3-D figure is called a cylinder. Her block, therefore, is a cylinder.

Technically, if the ends were ovals we would still call it a cylinder and so to make sure you have the one with the circles at the ends you would say you have a "right circular cylinder" but for most cases people just say "cylinder" and assume the ends are circles. It really depends what level (elementary, middle school, hs, college) of math you are doing whether just cylinder suffices.

5 0
3 years ago
Dina planted a six-foot tree in her backyard which she expects to grow at the rate of 4 feet per year. Find the equation of the
Scrat [10]

Answer:

y = 6 + 4x

After 4 years, the tree would be 22 ft tall.

Step-by-step explanation:

Hi there!

Let x = the number of years that pass

Let y = the height of the tree (ft)

We're given that the 6-foot tree grows at a rate of 4 ft per year. This means that the height of the tree will be equal to 6 ft, the original height, plus another 4 ft every year that passes.

Height of tree = 6 feet + 4 feet × number of years that pass

y = 6 + 4x

To solve for how tall the tree would be 4 years after Dina plants it, replace x with 4, since 4 years have passed:

y = 6 + 4(4)

y = 6 + 16

y = 22

Therefore, the tree would be 22 ft tall.

I hope this helps!

8 0
2 years ago
The dimensions of a conical funnel are shown below: A conical funnel is shown with the height of the cone as 7 inches and the ra
Nataly [62]
The first thing we should know in this case is that by definition the flow of liquid is given by:
 Q = V / t
 Where,
 V: volume
 t: time
 The volume of the cone is given by:
 V = (pi * r ^ 2 * h) / (3)
 Where,
 r: radio
 h: height
 Substituting the values we have:
 V = (3.14 * ((3) ^ 2) * 7) / (3)
 V = 65.94 in ^ 3
 We now turn off the time of the flow equation:
 t = V / Q
 Substituting values:
 t = (65.94) / (14)
 t = 4.71 minutes
 Answer:
 It will take for all the liquid in the funnel to pass through the nozzle about:
 t = 4.71 minutes
5 0
3 years ago
Read 2 more answers
-1(x+5)=3[x+(2x-1)]<br> solved and justified each step
madreJ [45]

Answer:

<h2>x = -0.2</h2>

Step-by-step explanation:

-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}

-x-9x=9x-9x+2\\-10x=2\\\\\text{for the equation:}\ \text{division property of equality}\\\\-10x=2\qquad\text{divide both sides by -10}\\\dfrac{-10x}{-10}=\dfrac{2}{-10}\\x=-0.2

\text{Distributive property:}\ a(b+c)=ab+ac\\\text{Associative property:}\ (a+b)+c=a+(b+c)

6 0
3 years ago
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