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3 years ago

If 3/5 of a number is 6 less than 15, the number is

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

In numeric terms, our equation is:

3/5n (3/5 of a number)

= (is)

15-6 (6 less than 15)

$\frac{3}{5}n=15-6$

Firstly, solve the subtraction: $\frac{3}{5}n=9$

Next, multiply both sides by 5/3 and your answer will be $n=15$ , or A.

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A lawn-mowing company is trying to grow its business. It had 26 clients when they started its business and wants to increase by

Likurg_2 [28]

Answer:

B. f(x) = 3x + 26;26≤ y ≤ 35

Step-by-step explanation:

This would be a linear equation in the form

y= mx+b

where b is the initial value (or 26 clients)

m is the slope, or the amount they want to increase by each week

y = 3x+26

Let x =0

y = 26 or what we start with

Let x =3, or be week 4 (we started with x= 0)

y = 3*3 +26

y =9+26

y= 35

3 0

3 years ago

Read 2 more answers

HELP ME ASAP PLEASE!!!!

Wewaii [24]

-(1/2)p<-16

Divide both sides by the coefficient of p. Flip the inequality sign because you are dividing a negative number.

p>32

Final answer: A

6 0

3 years ago

What is 18.4 times 3.40 and the wprk showed

dusya [7]

Decimal division is super easy, let me show you how.

First, let's remove the decimal from both numbers. We have 184 and 340. Now let's multiply those two numbers.

184*340 = 62560.

Now, we need to figure out how many decimal places are in the original decimals. 18.4 has one decimal place, and 3.4 has one decimal place. (We don't count zeros at the end of a decimal as a decimal place.)

Now that we've figured out that there was a total of two decimal places, there can only be two decimal places in the answer. Let's take the 62560 that we got, and put a decimal in it. Remember, only two decimal places.

If there's only two decimal places in 62560, it would look like this: 62.56 (Remember, zeros at the end of a decimal does not count as a decimal place!)

There's your final answer. 62.56.

Hope this explanation helped you out. :)

7 0

3 years ago

Which table represents exponential growth?

Serhud [2]

Answer:

Step-by-step explanation:

the 2nd one

x l y

1 l 2

2 l 4

3 l 8

4 l 16

7 0

3 years ago

Read 2 more answers

At a certain gas station, 40% of the customers use regular gas (A1), 35% use plus gas (A2), and 25% use premium (A3). Of those c

grandymaker [24]

Answer:

a.)

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b.)

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c.)

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

Step-by-step explanation:

We are given the following information

40% of the customers use regular gas (A2)

P(A₁) = 0.40

35% use plus gas (A2)

P(A₂) = 0.35

25% use premium (A3)

P(A₃) = 0.25

Of those customers using regular gas, only 20% fill their tanks (event B).

P(B | A₁) = 0.20

Of those customers using plus, 40% fill their tanks

P(B | A₂) = 0.40

Whereas of those using premium, 50% fill their tanks.

P(B | A₃) = 0.5

a) What is the probability that the next customer will request plus gas and fill their tank?

We are asked to find P(A₂ ∩ B) = ?

Recall that Multiplicative law of probability is given by

P( A₂ ∩ B ) = P(B | A₂) × P(A₂)

P( A₂ ∩ B ) = 0.40 × 0.35

P( A₂ ∩ B ) = 0.14

b) What is the probability that the next customer fills the tank?

We are asked to find P(B) = ?

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P( A₂ ∩ B ) is already calculated, we need to calculate

P( A₁ ∩ B ) and P( A₃ ∩ B )

So,

P( A₁ ∩ B ) = P(B | A₁) × P(A₁)

P( A₁ ∩ B ) = 0.20 × 0.40

P( A₁ ∩ B ) = 0.08

P( A₃ ∩ B ) = P(B | A₃) × P(A₃)

P( A₃ ∩ B ) = 0.50 × 0.25

P( A₃ ∩ B ) = 0.125

Finally,

P(B) = P( A₁ ∩ B ) + P( A₂ ∩ B ) + P( A₃ ∩ B )

P(B) = 0.08 + 0.14 + 0.125

P(B) = 0.345

c) If the next customer fills the tank, what is the probability that the regular gas is requested? Plus? Premium

For regular gas:

P(A₁ | B) = P( A₁ ∩ B ) / P(B)

P(A₁ | B) = 0.08 / 0.345

P(A₁ | B) = 0.232

For plus gas:

P(A₂ | B) = P( A₂ ∩ B ) / P(B)

P(A₂ | B) = 0.14 / 0.345

P(A₂ | B) = 0.406

For premium gas:

P(A₃ | B) = P( A₃ ∩ B ) / P(B)

P(A₃ | B) = 0.125 / 0.345

P(A₃ | B) = 0.362

5 0

3 years ago