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ryzh [129]
4 years ago
13

Solve this inequality: 8z + 3 – 2z < 51

Mathematics
2 answers:
MArishka [77]4 years ago
8 0
8z +3 - 2z < 51
6z + 3 < 51
-3. -3
6z < 48
-- ---
6. 6

z<8
gayaneshka [121]4 years ago
3 0
Z=0,1,2,3,4,5,6,7 it can't be 8 because 51 isn't smaller than 51
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4 years ago
A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. It costs $4.30 per square
almond37 [142]

Answer:

C=$(4.30xy+5.40(xz+yz))

Step-by-step explanation:

Surface Area of a Cuboid=2(LW+LH+HW)

Since the top is open

Surface Area = LW+2(LH+HW)

If Length = x feet,

Width =y feet

Height = z feet

Surface Area = xy+2(xz+yz)

Area of the base=xy

If it costs $4.30 per square foot to build the base

Cost of the base=Cost Per Square Foot X Area = $4.30xy

Area of the sides =2(xz+yz)

If it costs $2.70 per square foot to build the sides

Cost of the sides=Cost Per Square Foot X Area of the sides

= 2.70 X 2(xz+yz)

=5.40(xz+yz)

Cost of Constructing the Box = Cost of Constructing the Base + Cost of Constructing the Sides.

Therefore,

C=$(4.30xy+5.40(xz+yz))

7 0
3 years ago
Differentiate: f(x) = 3x ln(6x) − 3x
galben [10]
Answer is in the attachment below. Please open it up in a new window to see it in full.

5 0
4 years ago
If the length of the minor axis of an ellipse is 6 units and the length of the major axis is 10 units, how far from the center a
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The distance from the center to where the foci are located exists 8 units.

<h3>How to determine the distance from the center?</h3>

The formula associated with the focus of an ellipse exists given as;

c² = a² − b²

Where c exists the distance from the focus to the center.

a exists the distance from the center to a vertex,

the major axis exists 10 units.

b exists the distance from the center to a co-vertex, the minor axis exists 6 units

c² = a² − b²

c² = 10² - 6²

c² = 100 - 36

c² = 64

c = \sqrt{64}

c = 8

Therefore, the distance from the center to where the foci are located exists 8 units.

To learn more about the Pythagorean theorem here:

brainly.com/question/654982

#SPJ4

3 0
1 year ago
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