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olya-2409 [2.1K]

3 years ago

10

If a=3 and b=5 then ab/15+a(6+7b)=

2 answers:

lilavasa [31]3 years ago

8 0

Answer:155

Step-by-step explanation:

If a=3 and b=5 then

3•5/15+3•6+7•5=155

UNO [17]3 years ago

5 0

The answer is : 2/15ax(53b+45)
Factor the expression
ax(b/15+6+7b)
Calculate
ax(106/15b+6)
Factor pression
ax2/15x(53b+15x3)
Multiple the numbers
ax2/15x(53b+45)
Reorder the terms

Solution: 2/15ax(53b+45)

You might be interested in

The Slow Ball Challenge or The Fast Ball Challenge.

cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

$Pitches = 7$

$P(Hit) = 80\%$

$Win = \$60$

$Lost = \$10$

Fast Ball Challenge

$Pitches = 3$

$P(Hit) = 70\%$

$Win = \$60$

$Lost = \$10$

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 7$ --- pitches

$x = 7$ --- all hits

$p = 80\% = 0.80$ --- probability of hit

So, we have:

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

$P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}$

$P(7) =1 * 0.80^7 * (1 - 0.80)^0$

$P(7) =1 * 0.80^7 * 0.20^0$

Using a calculator:

$P(7) =0.2097152$ --- This is the probability that he wins

i.e.

$P(Win) =0.2097152$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 -0.2097152$

$P(Lose) = 0.7902848$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.2097152 * \$60 + 0.7902848 * \$10$

Using a calculator, we have:

$Expected = \$20.48576$

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

$P(x) =^nC_x * p^x * (1 - p)^{n - x}$

Where

$n = 3$ --- pitches

$x = 3$ --- all hits

$p = 70\% = 0.70$ --- probability of hit

So, we have:

$P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}$

$P(3) =1 * 0.70^3 * (1 - 0.70)^0$

$P(3) =1 * 0.70^3 * 0.30^0$

Using a calculator:

$P(3) =0.343$ --- This is the probability that he wins

i.e.

$P(Win) =0.343$

The probability that he lose is:

$P(Lose) = 1 - P(Win)$ ---- Complement rule

$P(Lose) = 1 - 0.343$

$P(Lose) = 0.657$

The expected value is then calculated as:

$Expected = P(Win) * Win + P(Lose) * Lose$

$Expected = 0.343 * \$60 + 0.657 * \$10$

Using a calculator, we have:

$Expected = \$27.15$

So, we have:

$Expected = \$20.48576$ -- Slow ball

$Expected = \$27.15$ --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0

3 years ago

Emmie has $60 to spend on craft supplies.The tax rate is 8.25%. What is the maximum amount she can spend on craft supplies befor

Margarita [4]

Answer:

$55.05

Step-by-step explanation:

60 x .0825 = 4.95

60 - 4.95 = 55.05

7 0

3 years ago

What is the equation 8x-3y=6-4x in Stanford form?

IgorLugansk [536]

Answer:

$12x - 3y = 6$

Step-by-step explanation:

Standard form is written this way: $Ax+By=C$

However, in this case, we just have to simplify 8x-3y=6-4x, as it is already mostly in standard form.

So, to do this, we have to combine like terms.

The only like terms that can be combined are -4x and 8x.

So, we add 4x to both sides, and we get: $12x - 3y = 6$ .

5 0

2 years ago

Patricia had less than $9 to spend at the grocery store. she bought 1 pound of tomatoes and wanted to spend the rest of her mone

shepuryov [24]

2.40+2.20=4.60

9-4.60=4.40

Patricia has $4.40 left to spend (or save)

3 0

3 years ago

Read 2 more answers

Which statement about graphs and their inverse is true?

MrMuchimi

A. They are symmetric about y=x

7 0

3 years ago