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MA_775_DIABLO [31]
1 year ago
10

Use the variable d to represent the unknown quantity. the product of 4 and the depth of the pool

Mathematics
1 answer:
natka813 [3]1 year ago
6 0

This can be represented by the expression 4d.

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The area of a rectangle is 54 m2 , and the length of the rectangle is 3 m more than twice the width. find the dimensions of the
Elina [12.6K]
L = 3 + 2w

Find the width
Area = 54
l × w = 54
(3 + 2w) × w = 54
3w + 2w^2 = 54
2w^2 + 3w - 54 = 0
(2w - 9)(w + 6) = 0
w = 9/2 or w = -6 (width shouldn't be negative)
w = 9/2
w = 4.5 m

Find the length
l = 3 + 2w
l = 3 + 2(4.5)
l = 3 + 9
l = 12 m

The width is 4.5 m, the length is 12 m
6 0
3 years ago
Identify the vertices of the feasible region and use them to find the maximum and/or minimum value for the given linear programm
Ghella [55]

The maximum value of the objective function is 26 and the minimum is -10

<h3>How to determine the maximum and the minimum values?</h3>

The objective function is given as:

z=−3x+5y

The constraints are

x+y≥−2

3x−y≤2

x−y≥−4

Start by plotting the constraints on a graph (see attachment)

From the attached graph, the vertices of the feasible region are

(3, 7), (0, -2), (-3, 1)

Substitute these values in the objective function

So, we have

z= −3 * 3 + 5 * 7 = 26

z= −3 * 0 + 5 * -2 = -10

z= −3 * -3 + 5 * 1 =14

Using the above values, we have:

The maximum value of the objective function is 26 and the minimum is -10

Read more about linear programming at:

brainly.com/question/15417573

#SPJ1

4 0
1 year ago
Jason wats 1/4 of the whole pizza. How many slices does he eat?
KIM [24]
2
A whole pizza has 8 slices. 1/4=25%. 25% of 8 is 2.
3 0
2 years ago
In a class of 25 students, 15 of them have a cat, 16 of them have a dog and 3 of them have neither
Sphinxa [80]

Answer:

9/25

Step-by-step explanation:

Our denominator is the total amount in class. x/25

Our numerator is the total of people are "the probability that a student chosen at random has a cat and a dog"  Which is -9.

~~~Hope this helps~~~ :)

3 0
2 years ago
PLEASE SHOW FULL SOLUTIONS !!!!! WILL MARK BRAINLIEST FOR THE BEST ANSWER. THANK YOU AND GOD BLESS.
zhenek [66]

Answer:

a = 8

b ≠ 18

Step-by-step explanation:

y = 4x - 7

2y = ax + b

For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different

y = mx +b is the equation of a line where m is the slope and b is the y-intercept

Multiply the first equation by 2

2y = 8x - 14

2y = ax + b

So a has to equal 8

b can be anything except 14 (otherwise the lines would be the same)

4 0
2 years ago
Read 2 more answers
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