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3 years ago

(Urgent) Solve: z/4 + 5 ≥ 5.5

Mathematics

2 answers:

NikAS [45]3 years ago

4 0

z/4 + 5 ≥ 5.5

subtract 5 from each side

z/4 ≥ .5

multiply by 4

z≥ 2

Olin [163]3 years ago

3 0

z/4 + 5 >= 5.5

-5 -5 subtract 5 from both sides

z/4 >= 0.5

x4 x4 times both sides by 4

z >= 2.0

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Carlos and Eddie went to a New

Masteriza [31]

Answer: they left home at 8:38

Work:
8:45 + 20 mins = 9:05 (time they arrived)
9:05 - 27 mins = 8:38 (time they left)

4 0

3 years ago

Two 2 1/2 inch plastic strips and two 5 1/3 inch plastic strips are used to form a rectangle. What is the perimeter of the recta

svp [43]

In this question the given information's should be closely noted. The length and width of the perimeter are already given. Based on those information's the answer to the question can be easily deduced.
Length of the rectangle = 2 1/2 inch
   = 5/2 inch
Width of the rectangle = 5 1/3 inch
   = 16/3 inch
Then
Perimeter of a rectangle = 2 ( Length + Width)
      = 2 [(5/2) + (16/3)]
   = 2 [ (45 + 32)/6]
   = 2 * (77/6)
   = 77/3 inch
   = 25 2/3 inch
So the perimeter of the rectangle in question is 25 2/3 inch. I hope the procedure is clear to you.

5 0

3 years ago

Read 2 more answers

3(7 – 2y) = 9 Please help. You have to solve it using distributive property. Thank you.

Alja [10]

Answer:

3(7-2y)=9

Because there is no symbol between the 3 and the "(" we can tell that it wants you to multiply.

With the distributive property you must distribute the 3 within (7-2y)

To that you would multiply 7 by 3, and multiply -2y by 3. This would get you:

21-6y=9

To get y you must isolate it, the first step to isolate it is remove the number with no "y" next to it. Which is "21" Also for further problems your way, You should add/subtract/divide/multiple the number that does not have the same or even a variable as the variable you are trying to find to the other side.

In this case it would be subtracting 21 from the left side and subtracting it to the right side which would give us: 6y=-12

(Because there was already a number with no variable: "9" you will subtract 21 from 9 which is why you get -12).

Next you will further isolate the y by removing the -6. "-6y" means -6 multiplied by y. So you will divide -6 from the left side AND the right side.

-6y ÷ -6 = y ; -12 ÷ -6 = 2

y=2

More tips: When you are moving something to the other side always do the opposite to remove it from one side and move it to the other. Example: -12 + y = 5

You want to move the -12 to the right side. So you need to remove "-12" from the left side by ADDING 12 because -12 + 12 = 0.

Now you simply add it to the right.

Another example: 4y = 8

Because 4y is multiplication (4 times y) you must divide it from each side to isolate the y! : y=2

If you divide a number from the left side, you must also divide it from the right side. If you add a number on the left side, you must also add it on the right side. Same goes for subtraction and multiplication. Think like that!

Step-by-step explanation:

So ya

8 0

3 years ago

Read 2 more answers

A student bought a piece of hard candy that is in the shape of a sphere. The candy has a radius of 3 centimeters.

worty [1.4K]

Volume of piece candy is 113.04 cubic centimeter

Solution:

A student bought a piece of hard candy that is in the shape of a sphere

The candy has a radius of 3 centimeters

Radius = 3 cm

Use 3.14 for π

Volume of sphere is given as:

$V = \frac{4}{3} \times \pi \times r^3$

Where, "r" is the radius of sphere

Therefore, volume of candy is given as:

$V = \frac{4}{3} \times 3.14 \times 3^3\\\\V = 4 \times 3.14 \times 3^2\\\\V = 12.56 \times 9\\\\V = 113.04$

Thus volume of candy is 113.04 cubic centimeter

3 0

3 years ago

Graph each piecewise function. Then Identify the properties.

Mazyrski [523]

Answer:

The domain is:

x: (-∞, 0] U (0, ∞)

The range is

y: [0, ∞)

Step-by-step explanation:

These types of functions are known as piecewise functions. It has two pieces of functions, you must graph both pieces for each interval.

First, graph:

y = -x for x from -∞ to x = 0

Note that y = -x is the equation of a negative slope line = -1 that passes through the origin

Second, graph:

y = x for x from x = 0 to ∞

Note that y = x is the equation of a positive slope line = 1 that passes through the origin.

The graph of this function is shown in the attached image. Note that it matches the absolute value graph of x.

y = | x |

In this function y it is always positive, and x can be any real number.

Therefore the domain is:

x: (-∞, 0] U (0,∞)

The range is:

y: [0, ∞)

4 0

3 years ago