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3 years ago

PLEASE HELP!!! Show your work too, please!

Mathematics

2 answers:

dimulka [17.4K]3 years ago

8 0

Step-by-step explanation:

first fish tank: 95-4x

second fish tank: 40+5x

1. Define variable

The variable x represents the number of days.

2. Write the inequality

95-4x=40+5x

3. You probably don't need the answer but I am just going to solve.

The first fish tank will have less water than the second fish tank after 7 days.

95-4x=40+5x

95-4(7)=40+5(7)

95-28=40+35

67=75

Since the first equation (95-4x) represents the first fish tank, and the second equation (40+5x) represents the second fish tank, the solution shows how the amount of water in the first fish tank is less than the amount of water un the second fish tank after 7 days.

Dimas [21]3 years ago

5 0

After 7 days the first tank will have less water than the second

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I am Lyosha [343]

Answer:

it is 10.5 cm squared! I hope this helps

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3 years ago

10 POINTS!! Fast!! In the figure, (BE)||(CD). Solve for x. Show your work.

KatRina [158]

AE/ED=AB/BC

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4 years ago

17. Let A denote the event that the next request for assistance from a statistical software consultant relates to the SPSS packa

ankoles [38]

Answer:

a. The probability is not equal to 1

b. P (A') = 0.70

c. P ( A U B ) = 0.80

d. P ( A' ∩ B' ) = 0.20

Step-by-step explanation:

a. Because these A and B are disjoint

b. since the probability of A is 0.30 then the probability of A compliment is

P(A compliment ) = 1 - P (A)

P(A compliment ) = 1-0.30

P(A compliment ) = 0.70

c. Since event are disjoint then intersection of A and B is 0, so probability of A U B is;

P ( A U B ) = P (A) + P(B) - P(A∩ B)

P ( A U B ) = 0.30 + 0.50 - 0

P ( A U B ) = 0.80

d. The inetrsection of compilments of A and B are:

by using De Morgan's Law we have,

P ( A' ∩ B' ) = P [(A U B )']

P ( A' ∩ B' ) = 1 - P ( A U B )

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5 0

3 years ago

Find the value of x in the picture please

Marianna [84]

Answer:

Option B. The value of x is 20

Step-by-step explanation:

we know that

The intersecting chords theorem states that the products of the lengths of the line segments on each chord are equal.

In this problem

$(x)(x-11)=(x-8)(x-5)\\x^{2}-11x=x^{2}-5x-8x+40\\-11x=-13x+40\\2x=40\\x=20$

3 0

4 years ago

Calculator

MariettaO [177]

Answer:

${84mm}^{2}$

Step-by-step explanation:

Area of square= l×l

Area of square= 6mm × 6mn

Area if square = 36 mm²

Area of triangle 1= ½b ×h

Area of triangle 1= ½ (6mm)(8mm)

Area of triangle 1 = 24 mm²

Area of triangle 2 is the same as area of traingle 1 because they have the same base and hight

: . area of triangles is 48mm²

Area of the figure= Area of square + Area of triangles

A of figure = 36+48

A of figure = 84 mm²

Option 2

Use trapezium formula

Area of trapezium= (a+b)/2 * h

a=6 mm (base)

b=8+6=14 mm (Base)

h= 6mm (height)

$area \: of \: trapezium = ( \frac{6 + 14}{2} )(6) \\ = 60mm ^{2}$

Therefore the area of triangle= 24mm² as calculated in option 1

Area of the figure= Area of trapezium +Area of triangle

Area of figure = 60+24

= 84 mm²

4 0

3 years ago