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3 years ago

What are 3 consecutive even intergers that have a sum of 42

Mathematics

1 answer:

kenny6666 [7]3 years ago

7 0

Answer:

12, 14, and 16

Step-by-step explanation:

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A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line?

harina [27]

To solve this, we need to understand Slope Intercept Form (SIF), as well as how to graph a line.

SIF is the standard equation of lines on graphs. It is "y=mx+b" where m is the slope and b is the y-intercept. The y-intercept is the value of y when x is 0.

To find the y-intercept (which we will need to form the equation), we should simply graph the line. This will let us visualize the y-intercept, and overall make it easier to understand.

To graph a line, we should start with the point we have (that being (3, 3)) and follow the slope with rise/run. This means in this case, we will go right 2 for every 1 up, or 2 left for every 1 down.

Below I have attached a graph to help you see how to graph this, which we will get our equation from. The highlighted area is our y-intercept. The red circle shows our original point (3,3), and the blue dots show our slope.

Using the graph, we can see the equation for this line is y=1/2x+1.5.

8 0

2 years ago

Seven times the smaller

Taya2010 [7]

Given:

Seven times the smaller of two consecutive even integers is the same as -300 minus 4 times the larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even integers.

Seven times the smaller integer = 7x

-300 minus 4 times the larger integer = -300-4(x+2)

Now,

$7x=-300-4(x+2)$

$7x=-300-4x-8$

$7x+4x=-308$

$11x=-308$

Divide both sides by 11.

$x=\dfrac{-308}{11}$

$x=-28$

So, the smaller even integer is -28.

$x+2=-28+2=-26$

So, the larger even integer is -26.

5 0

2 years ago

Solve. x^2+ 5x-2=0 SoS plz Quadratic Equation

IRISSAK [1]

Answer:

−5/2 ± √33 /2

3 0

3 years ago

Is the number 17 a prime or composite number?

Alborosie

Answer:

It is a prime number.

Step-by-step explanation:

A prime number is a number that can only be the product of 1 and itself. 17 can only be multiplied by 1 and 17, so it is prime.

7 0

3 years ago

M+1 3/8=5 What does m equal?

Arte-miy333 [17]

$\text{ The value of m is equal to 3.625 or }\frac{29}{8} \text{ or } 3\frac{5}{8}$

Solution:

Given that we have to find the value of "m"

Given expression is:

$m + 1\frac{3}{8} = 5$

Let us first convert the mixed fraction to improper fraction

Steps to follow:

Divide the numerator by the denominator.

Write down the whole number answer.

Then write down any remainder above the denominator.

Therefore,

$1\frac{3}{8}=\frac{8 \times 1+3}{8} = \frac{8+3}{8} = \frac{11}{8}$

Now the expression becomes,

$m + \frac{11}{8} = 5$

Keep the variable "m" on L.H.S and move the constant to R.H.S

$m = 5 - \frac{11}{8}\\\\m = \frac{5 \times 8 -11}{8}\\\\m = \frac{40-11}{8}\\\\m = \frac{29}{8}\\\\\text{In mixed fractions, we can write as }\\\\m = \frac{29}{8} = 3\frac{5}{8}$

Thus value of m is equal to 3.625 or $\frac{29}{8} \text{ or } 3\frac{5}{8}$

3 0

2 years ago