All categories

3 years ago

The sum of two consecutive even integers is 158. Find the least of the two integers.

Mathematics

2 answers:

Mrac [35]3 years ago

7 0

Answer: 78 and 80

Step-by-step explanation:

x + (x + 2) = 158

2x + 2 = 158

-2 -2

2x = 156; divide both sides by 2, and you get x = 78

If x = 78, then x + 2 = 80

djverab [1.8K]3 years ago

6 0

Answer:

78 and 80

Step-by-step explanation:

Two consecutive even integers means that they will go in groups of 2. For example 2 and 4 are consecutive even numbers.

To solve this problem you'll need to set an equation equal to 158. We can call the first even integer x and the second CONSECUTIVE even integer x + 2.

Make these two expressions add up to equal 158 and solve for x.

(x) + (x + 2) = 158

Combine like terms.

2x + 2 = 158

Subtract 2 from both sides of the equation.

2x = 156

Divide both sides of the equation by 2.

x = 78

The first integer is 78, now substitute this value into the expression representing the second integer.

(78) + 2 = 80

The second integer is 80.

You might be interested in

= table shows a hot air balloon's height h, in feet, during a descent at various times t, in seconds.

denpristay [2]

Answer:

A. Slope is -12 feet per second

B. Yes, it is constant.

<u>Skills needed: Linear Equations, Substitution and Division</u>

Step-by-step explanation:

1) Solving Part A (we need to find the slope):

The slope is $\frac{y_2-y_1}{x_2-x_1}$ --> $y_1$ , $y_2$ , $x_1$ , and $x_2$ are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.

2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:

- $\frac{y_2-y_1}{x_2-x_1}$ ==> $\frac{1090-1150}{10-5}$ ==> $1090-1150=-60, 10-5=5$ ==> $\frac{-60}{5}$

$\frac{-60}{5} =-12$ , so the slope is -12.

==================================================================

1) Part B (analysis)

We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.

8 0

2 years ago

-3 1/3 divided by -1/2

Alexandra [31]

Answer:

8/3

Step-by-step explanation:

keep change flip

-3 1/3 (turn the divide into multiplication) and flip the fraction- 1/2 -2/1

-4/3 times -2/1

5 0

2 years ago

did americans work less than 40 hours a week on average in 1984? in 1984, the gss included questions about the number of hours t

Aliun [14]

Answer:

878 gas

Step-by-step explanation:

89=5=7=9

5 0

2 years ago

Help . I hate these kind of problems !

Marrrta [24]

The formula for area of a triangle is 1/2 x base x height

The base is C and the height is x

The formula would be 1/2cx
The answer is B.

8 0

3 years ago

In one region, the september energy consumption levels for single-family homes are found to be normally distributed with a mean

Mrac [35]

We first calculate the z-score corresponding to x = 1075 kWh. Given the mean of 1050 kWh, SD of 218 kWh, and sample size of n = 50, the formula for z is:
z = (x - mean) / (SD/sqrt(n)) = (1075 - 1050) / (218/sqrt(50)) = 0.81
From a z-table, the probability that z > 0.81 is 0.2090. Therefore, the probability that the mean of the 50 households is > 1075 kWh is 0.2090.

3 0

3 years ago

Read 2 more answers