All categories

3 years ago

Solve each equation. Check your solution. –3b + 7 = –15 + 2b

Mathematics

2 answers:

Gnoma [55]3 years ago

6 0

Exact form: b= 22/5

Decimal form: b= 4.4

Mixed number form: b= 4 2/5

aliya0001 [1]3 years ago

6 0

Answer:

Solution:

$b = \frac{22}{5?}$

Step-by-step explanation:

Rearrange terms:

$- 3b + 7 = - 15 + 2b$

$- 3b + 7 = 2b - 15$

subtract 7 from both sides of the equation:

$- 3b + 7 = 2b - 15$

simplify:

subtract the numbers

⬇️

$- 3b = 2b - 22$

subtract ⬇️ from both sides of the equation

$2b$

$- 3b = 2b - 22$

$- 3b - 2b = 2b - 22 - 2b$

simplify:

⬇️combine like terms

$- 5b = - 22$

divide both sides of the equation by the same term:

$- 5b = - 22$

$\frac{ - 5b}{ - 5?} = \frac{ - 22}{ - 5?}$

simplify:

⬇️cancel terms that are in both the numerator and the denominator

⬇️divide the numbers

$b = \frac{22}{?5}$

You might be interested in

Based on past experience, a bank believes that 13% of the people who receive loans will not make payments on time. The bank has

g100num [7]

Answer:

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

With reasonable assumptions about the sample, all the conditions are met.

The probability that over 16% of these clients will not make timely payments is P=0.023.

Step-by-step explanation:

We have a sample of 500 loans, of which a proportion of p=0.13 is expected to not be paid on time.

The sample proportion mean and standard deviation are

$\mu=p=0.13\\\\\sigma=\sqrt{\frac{p(1-p)}{N} }= \sqrt{\frac{0.13*0.87}{500} }=0.015$

The assumptions underlying this model are:

- The sample is randomly selected from the population.

- The sampling distribution of p-hat is approximately normal. There are at least 10 successes and 10 failures in the sample.

- Individual observations are independent of each other.

With reasonable assumptions about the sample, all the conditions are met.

What is the probability that over 16% of these clients will not make timely payments?

$z=\frac{x-\mu}{\sigma} =\frac{0.16-0.13}{0.015}=\frac{0.03}{0.015}=2\\\\P(p>0.16)=P(z>2)=0.023$

The probability that over 16% of these clients will not make timely payments is P=0.023.

8 0

3 years ago

Which is the best estimate for the quotient of 198.32 ÷ 9.001?

sukhopar [10]

The best estimate for the quotient of 198.32 divided by 9.001 is 20. Because if you calculate the equation, the exact answer would be 22.0331074325. The number among the choices which is closest to the exact quotient is 20. Therefore, the answer is letter C. 20.

8 0

4 years ago

Read 2 more answers

on the coordinate grid ,the point (3,3) undergoes a translation 2 over 4 explain what this mean and give the coordinate of it's

attashe74 [19]

Okay so i may be wrong but i think that the new coordinates would be (7,5). I’m assuming that the translation is up 2 and 4 to the right so you just follow the rules for translations. (a) being the amount of spaces you’re moving for x and (b) being the amount of spaces you’re moving for y

Translation a units to the right (x,y) ➡️ (x+a, y)

Translation a units to the left (x,y) ➡️ (x-a,y)

Translation b units up (x,y) ➡️ (x,y+b)

Translation b units down (x,y) ➡️ (x,y-b)

i’m not the smartest person ever but hopefully this helps. good luck!!

5 0

3 years ago

Need answer to these 3<br><br> 70 points

avanturin [10]

Answer:

1.a

2.e

3.e

Step-by-step explanation:

4 0

3 years ago

Please help answer this

yuradex [85]

I think you can use cosine rule if only the lines that form the <52 are equal.

6 0

3 years ago