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1 year ago

Lin multiplies 7/8 times a number. The product is less than 7/8. Which could be Lin’s number?

Mathematics

1 answer:

RSB [31]1 year ago

3 0

Answer:

So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.

Step-by-step explanation:

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A hospital cafeteria has 20 tables. 65% of the tables have 6 chairs at each table. The remaining 35% of the tables have 4 chairs

rosijanka [135]

Total number of tables in the cafeteria = 20

65% of the tables = $\frac{65}{100} (20)$

$=\frac{13}{20}(20)$

= 13

Each table has 6 chairs.

So, total number of chairs that 65% of the tables have = 13 × 6 = 78.

35% of the tables = $\frac{35}{100} (20)$

$=\frac{7}{20} (20)$

= 7

Each table has 4 chairs.

So, total number of chairs that the remaining 35% of the tables have = 7 × 4 = 28.

Hence, total number of chairs in the hospital cafeteria = 78 + 28 = 106.

6 0

1 year ago

A function is expressed by the equation y=0.3x−6. For what value of the independent variable will the value of the function be e

Anna11 [10]

Answer:

0; 10; 20

Step-by-step explanation:

x is the independent variable

y is the dependent variable

y is dependent on x

a) For what value of the independent variable will the value of the function be equal to −6

y=0.3x−6

-6 = 0.3x-6

0=0.3x

x = 0

Therefore, if the independent variable is 0, the value of the function will be -6.

b) For what value of the independent variable will the value of the function be equal to −3

y=0.3x−6

-3 = 0.3x-6

0.3x = -3+6

0.3x = 3

x = 3/0.3

x = 10

Therefore, if the independent variable is 10, the value of the function will be -3.

c) For what value of the independent variable will the value of the function be equal to 0.

y=0.3x−6

0=0.3x-6

6 = 0.3x

x = 6/0.3

x = 20

Therefore, if the independent variable is 20, the value of the function will be 0.

7 0

1 year ago

a car rental service rently purchased all new vehicles .to help cover the cost ,rental rates have to increase 26% from the norma

ruslelena [56]

Answer:

The new rate should be $56.67 per day

Step-by-step explanation:

Proportion states that the two fractions or ratios are equal.

As per the statement:

Normal rate per day = $45

To find the new rate:

Let new rate be x per day

By definition of proportion:

$\frac{126}{100} = \frac{x}{45}$

By cross multiply we have;

$100x = 126 \times 45$

Divide both sides by 100 we get;

$x = \frac{126 \times 45}{100}$

Simplify:

x = $56.7

Therefore, the new rate should be $56.7 per day

5 0

2 years ago

On a certain route, an airline carries 7000 passengers per month, each paying $30. A market survey indicates that for each $

KengaRu [80]

Answer:

The ticket price that maximizes revenue is $50.

The maximum monthly revenue is $250,000.

Step-by-step explanation:

We have to write a function that describes the revenue of the airline.

We know one point of this function: when the price is $30, the amount of passengers is 7000.

We also know that for an increase of $1 in the ticket price, the amount of passengers will decrease by 100.

Then, we can write the revenue as the multiplication of price and passengers:

$R=p\cdot N=(30+x)(7000-x)$

where x is the variation in the price of the ticket.

Then, if we derive R in function of x, and equal to 0, we will have the value of x that maximizes the revenue.

$R(x)=(30+x)(7000-100x)=30\cdot7000-30\cdot100x+7000x-100x^2\\\\R(x)=-100x^2+(7000-3000)x+210000\\\\R(x)=-100x^2+4000x+210000\\\\\\\dfrac{dR}{dx}=100(-2x)+4000=0\\\\\\200x=4000\\\\x=4000/200=20$