Three consecutive integers have a sum of 168. What is the value of the largest integer

1 answer:

6 0

Largest integer: 57

x + x + 1 + x + 2 = 168
3x + 3 = 168
-3 -3
3x = 165
/3 /3
x = 55

x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57

You might be interested in

State the transformations on the graph of f(x) = ^ x that result in the graph of the given functions.

Alex_Xolod [135]

The answer is 9/10 because I did the test and that was the answer

4 0

2 years ago

Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion

kipiarov [429]

Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft

Given that:

Distance = 9 ft

Speed = 1.5 ft/sec

<em>Formula:</em>

$Distance = Speed \times Time$

$\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}$

So, at <em>6 seconds</em>, Mario will be 11 ft from the motion detector.

6 0

3 years ago

Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col

natali 33 [55]

Answer:

$\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]$

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

$\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]$