All categories

2 years ago

The sum of two consecutive even integers is -118 find two integers

1 answer:

5 0

2x - the 1st number
2x+2 - the 2nd number

$2x+2x+2=-118 \\
4x+2=-118 \ \ |\hbox{subtract 2 from both sides} \\
4x=-120 \ \ |\hbox{divide both sides by 4} \\
x=-30 \\ \\ 2x=2 \cdot (-30)=-60 \\ 2x+2=-60+2=-58$

The answer is -60 and -58.

You might be interested in

Find the value of x, which makes the area of this triangle equal 72.

Ghella [55]

Area of a triangle=1/2(base x height)
Area=72, Base=8, Height=2x-3
Plug it in.
72=1/2(8 x (2x-3))
72=1/2(16x-24)
72=8x-12
84=8x
x=10.5

5 0

3 years ago

Read 2 more answers

Select Not independent or Independent for each situation. (3)

valentinak56 [21]

Answer:

A spinner is divided into three equally sized sections. The spinner is spun three times.

independent, since the outcome is not affected by previous spins.

A number cube is rolled twice.

independent, since the outcome is not affected by previous rollings.

A bag contains 8 white balls and 3 yellow balls. Two balls are selected from the bag without replacement.

not independent, since the new outcome depends on the balls that were drawn before.

Step-by-step explanation:

The outcome of an independent variable is not affected by previous outcomes or actions, while the outcome of dependent variables is affected by previous outcomes or actions.

6 0

2 years ago

What would be the probability for two even numbers.?

frozen [14]

Sorry, I didn't read the question fully. I don't know how to do this. Please disregard my previous answer.

6 0

3 years ago

Read 2 more answers

Write the equation of the line,in point-slope form.the point(_2,2)

Leni [432]

Point slope for will always be y=mx+b
But the problem is, you don’t have the slope..

4 0

2 years ago

Mr mojo borrowed $9000 for 10 years to make home improvements. If he repaid a total of $20000 at what interest rate did he borro

sesenic [268]

The rate of interest is 12.2 %

Solution:

Given that, Mr mojo borrowed $9000 for 10 years to make home improvements

He repaid a total of $ 20000

To find: Rate of interest

We can use simple interest formula to calculate the rate of interest

Total amount = Principal + simple interest

20000 = 9000 + simple interest

Simple interest = 20000 - 9000

Simple interest = 11000

The simple interest is given as:

$I = \frac{ p \times r \times t}{100}$

Where,

"I" is the simple interest

"p" is the principal

"r" is the rate of interest

"t" is the number of years

Substituting the values,

$11000 = \frac{9000 \times r \times 10}{100}\\\\11000 = 900 \times r\\\\r = \frac{11000}{900} = 12.2$

Thus rate of interest is 12.2 %

5 0

2 years ago