All categories

3 years ago

7p-(3p+4)= -2(2p-1) + 10 Solve each equation.

1 answer:

8 0

Perform the indicated multiplication:

7p-(3p+4)= -2(2p-1) + 10

becomes

7p - 3p - 4 = -4p + 2 + 10

Group like terms:

7p - 3p + 4p = 2 + 10 + 4

8p = 16 => p = 2 (answer)

You might be interested in

Can some please help I’m stuck :(

Solnce55 [7]

Answer:

"I Only" is the correct answer

Step-by-step explanation:

Given inequality is:

-10>3x-6

In order to check which numbers are solution to the given inequality, we will put each number one by one in the inequality. If the inequality is true after putting the number, the number is the solution of the inequality.

So,

I . -10

Putting -10 in the inequality

$-10>3x-6\\-10>3(-10)-6\\-10>-30-6\\-10> -36$

The inequality results in true after putting x=-10 so -10 is the solution of inequality.

II. 5

Putting 5 in the inequality

$-10>3x-6\\-10>3(5)-6\\-10>15-6\\-10>9$

The equality doesn't hold true for x=5 so 5 is not the solution of the problem.

III. -1

Putting -1 in the equation

$-10>3x-6\\-10>3(-1)-6\\-10>-3-6\\-10>-9$

Inequality doesn't hold true for x=-1 so it is not the solution of the inequality.

Hence,

"I Only" is the correct answer as only -10 is the solution of inequality.

4 0

3 years ago

triumphant college is planning to increase the registration fee by 11.5%.if the registration fee is currently N$ 1000, how much

frozen [14]

Current registration fee at triumphant college = N$ 1000

Percentage by which the registration fee will be increased next year = 11.5%

Registration fee at triumphant college next year :

= Current registration fee + 11.5% of current registration fee

$=\tt1000 + \frac{115}{10 \times 100} \: \: of \: \: 1000$

$= \tt1000 + \frac{115}{1000} \times 1000$

$=\tt 1000 + \frac{115000}{1000}$

$=\tt 1000 + 115$

$\color{plum} = \tt \:\bold{ N\$ \: 1115}$

Therefore, the registration fee at triumphant college next year = N$ 1115

5 0

2 years ago

If x=y and y=10, then x=10 exemplifies which property?

Anna35 [415]

ANSWER

Transitive property of equality.

EXPLANATION

According to the transitive property of equality,

a=b and b=c, then a=c.

Therefore,

if x=y and y=10, then x=10 is an example of transitive property of equality.

8 0

3 years ago

A jar contains only pennies, nickels, dimes, and quarters. There are 23 pennies, 22 dimes, and 20 quarters. The rest of the

goldfiish [28.3K]

Answer:

1. 65 coins

2. 79 - (23 + 22 + 20) = n

Step-by-step explanation:

You can use the expression 23 + 22 + 20 to get the amount of coins that are not nickles. And for two? Try it yourself.

Hope this helps. Have a nice day.

8 0

2 years ago

A number, x, rounded to 1 decimal place is 3.7 Write down the error interval for x.

soldier1979 [14.2K]

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

6 0

3 years ago