Answer:
Step-by-step explanation:
Consecutive integers just means like one after another.
This means that:
First number = x
Second number = x + 1
Third number = x + 2
They've told us that the sum of 3 consecutive integers is 78.
First number + second number + third number = 78
Sub the equations we wrote into the formula above and we get:
x + x + 1 + x + 2 = 78
Gather the like terms.
3x + 3 = 78
Subtract 3 from both sides.
3x = 78-3 = 75
Divide both sides by 3 to solve for x.
x = 75/3 = 25
If you look at the very beginning we said that the first number = x.
Therefore it is 25.
Second number = x + 1 = 26
Third number = x + 2 = 27
Answer:
y = - 10x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here slope m = - 10, hence
y = - 10x + c ← is the partial equation
To find c substitute (- 1, 4) into the partial equation
4 = 10 + c ⇒ c = 4 - 10 = - 6
y = - 10x - 6 ← equation of line
If you roll a six sided dice once, each outcome has a 1/6 probability.
This means 4 has a 1/6 probability.
If you roll a dice 1200 times....
1200 × 1/6 = 1200/6 = 200
You would expect to get a 4 200 times.
Hey there!
Here is your answer:
<u><em>The proper answer to this question is "44 times".</em></u>
Reason:
You have to solve it this way:
<u><em>12 heartbeats=16 seconds</em></u>
<u><em>16+16=32</em></u>
<u><em>36+16=48</em></u>
<u><em>48+16=64</em></u>
<u><em>16-12=4</em></u>
<u><em>12+12=36+8=44</em></u>
<em>Therefore lions heart beats 44 times every 60 seconds.</em>
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:

The area of the triangle DEF is 10.