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DedPeter [7]
3 years ago
7

Members of the swim team want to wash their hair. The bathroom has less than 560056005600 liters of water and at most 2.52.52, p

oint, 5 liters of shampoo. 70L+60S < 560070L+60S<560070, L, plus, 60, S, is less than, 5600 represents the number of long-haired members LLL and short-haired members SSS who can wash their hair with less than 560056005600 liters of water. 0.02L+0.01S \leq 2.50.02L+0.01S≤2.50, point, 02, L, plus, 0, point, 01, S, is less than or equal to, 2, point, 5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.52.52, point, 5 liters of shampoo. Does the bathroom have enough water and shampoo for 888 long-haired members and 777 short-haired members?
Mathematics
1 answer:
juin [17]3 years ago
8 0

Answer:

Yes, both shampoo and water will be enough

Given that:

Number of long and short hair member who can wash their hair ; with amount of water less than 5600 litres

To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.

L = long-haired ; S = short-haired

70L+ 60S < 5600

Check the constraint for amount of water :

70L+ 60S < 5600

L = 8 ; S = 7

70(8) + 60(7) < 5600

560 + 420 < 5600

980 < 5600

Constraint satisfied

Number of long and short hair member who can wash their hair with shampoo not more than 2.5 litres

0.02L + 0.01S ≤ 2.5

L = 8 ; S = 7

0.02(8) + 0.01(7) ≤ 2.5

0.16 + 0.07 ≤ 2.5

0.23 ≤ 2.5 (constraint satisfied).

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Complete the square x^2-10=16<br><br>​
Hatshy [7]

Answer:

(x - 5)² = 41

Step-by-step explanation:

* Lets revise the completing square form

- the form x² ± bx + c is a completing square if it can be put in the form

 (x ± h)² , where b = 2h and c = h²

# The completing square is x² ± bx + c = (x ± h)²

# Remember c must be positive because it is = h²

* Lets use this form to solve the problem

∵ x² - 10x = 16

- Lets equate 2h by -10

∵ 2h = -10 ⇒ divide both sides by 2

∴ h = -5

∴ h² = (-5)² = 25

∵ c = h²

∴ c = 25

- The completing square is x² - 10x + 25

∵ The equation is x² - 10x = 16

- We will add 25 and subtract 25 to the equation to make the

 completing square without change the terms of the equation

∴ x² - 10x + 25 - 25 = 16

∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides

∴ (x² - 10x + 25) = 41

* Use the rule of the completing square above

- Let (x² - 10x + 25) = (x - 5)²

∴ (x - 5)² = 41

3 0
3 years ago
Write the decimal 2.91 as a fraction or mixed number,
patriot [66]

Answer:

291/100

Step-by-step explanation:

3 0
3 years ago
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 x 373853253678.3
yulyashka [42]

Answer:

0

Step-by-step explanation:

If there is a 0 in the equation, it will automatically have the answer as 0.

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3 years ago
Look at the figure below:
quester [9]

Answer:

cos y° = b divided by 6

Step-by-step explanation:

Trigonometric ratios :

Sin \theta = \frac{Perpendicular}{Hypotenuse}

We are given that sin y° = a divided by 6

sin y^{\circ}=\frac{a}{6}

On comparing

Perpendicular = a

Hypotenuse = 6

Tan \theta= \frac{Perpendicular}{Base}

tan y°=a divided by b

On comparing

Perpendicular = a

Base = b

So, cos \theta = \frac{Base}{Hypotenuse}

Cos y^{\circ}=\frac{b}{6}

So, Option d is true

cos y° = b divided by 6

8 0
3 years ago
Read 2 more answers
Custodian at Movie Theater
ollegr [7]

Answer:

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

Step-by-step explanation:

Custodian at Movie Theater

pay:$9.95

per hours:

15.25 hours per week

How much do they make in

1) a- week

1 week = 15.25 hours

Hence,

1 hour = $9.95

15.25 hours = x

Cross Multiply

x = 15.25 × $9.95

x = $151.7375

Approximately = $151.74

2) A month

There are 4 weeks in a month

1 week = $151.74

4 weeks = x

Cross Multiply

x = 4 × $151.74

x = $606.96

3) A year

There are 52 weeks in a year

Hence,

1 week = $151.74

52 weeks = x

Cross Multiply

x = 52 × $151.74

x = $7890.48

Therefore, they made in :

1) A week: $151.74

2) A month : $606.96

3) A years : $7890.48

5 0
3 years ago
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