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3 years ago

Can you guys help me I would really appreciate it! :)

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:
2:1
Step-by-step explanation:
12 = total
yellow labs : black labs
8 : 4
simplified version is 2:1

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At time t=0 hours, a tank contains 3000 litres of water. Water leaks from the tank. At the end of every hour there is x% less wa

Margaret [11]

Answer:

x = 2; K = 0.98

Step-by-step explanation:

At time, t = 0, Volume of Water = 3,000 litres

After t hours , the Volume of water in the tank = Vt

At the end of every hour there is a x% less water in the tank then at the start of the hour

After 1 hour, volume of water left Vt = V1

V1 = 3,000 - 3000 × (x/100)

V1 = 3,000 - 30x

After 2 hours, Volume of water left is V2

V2 = (3,000 - 30 x) - (3,000 - 30 x) × (x/100)

V2 = (3,000 - 30 x) - (3000x - 30x²)/100

V2 = {100(3000 - 30x) - x(3000 - 30x)} /100

V2 = {(3000 - 30x)(100 - x)}/100

Recall, V2 = 2881.2

Therefore

{(3000 - 30x)(100 - x)}/100 = 2881.2

(3000 - 30x)(100 - x) = 288120

300000 - 3000 x - 3000 x + 30 x² = 288120

30 x ² - 6000 x + 11880 = 0

Dividing both sides by 30

x² - 200 x + 396=0

Factorizing:

(x -198)(x-2) = 0

x = 198 or x = 2

Since the percentage by which the water reduces cannot be greater than 100, x = 2 is chosen.

Step 2: Solving for k

Given that Vt=KtV0

K = Vt/V0

At t = 1

V1 = 3000 - 30x

V1 = 3000 - 30 × 2

V1 = 3000 - 60

V1 = 2940

K = 2940/3000

K = 0.98

5 0

3 years ago

What is the value of x and the length of segment DE?

Mandarinka [93]

Answer:

Part 1) $x=6.6\ units$

Part 2) $DE=16.2\ units$

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

$CD/FD=FD/DE$

$\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units$

Part 2) Find the length of DE

$DE=2x+3$

substitute the value of x

$DE=2(6.6)+3=16.2\ units$

8 0

2 years ago

Read 2 more answers

The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s

Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2

H1 : u1 ≠ u2

x ( mean ) = 46.77, y ( mean ) = 50.13 ,

s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8

therefore :

Sp^2 = $\frac{n1s1^2 + n2s2^2}{n1 + n2-2}$ = 38.96 ≈ 39

performing test statistic

t = $\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }$ = $\frac{-3.36}{3.0330}$ = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales

5 0

2 years ago

Solve each equation write each equation in simplest form 7x/8=21

AveGali [126]

7x / 8 = 21
7x = 8*21
x = 24

8 0

3 years ago

Nadine has a cup of nickels and a cup of dimes.

WITCHER [35]

Answer: 135 nickels

Step-by-step explanation:

135 Nickels is $6.75 and 165 dimes is $16.50

That's 300 coins. $6.75 + $16.50 = $23.25

3 0

2 years ago