Let the actual heights of Lisa, Ian and Jim be L, I and J.
i) "Lisa is 4 centimeters taller than her friend Ian." means: L=4+I
ii) "Ian is 8 centimeters taller than Jim." means: I=8+J, thus J=I-8
so the heights of Lisa, Ian and Jim are 4+I, I and I-8, respectively.
Since their heights increase by 2 cm, in 4 months, their heights increase 2 cm*4 = 8 cm.
Thus, after 4 months the heights of Lisa, Ian and Jim become:
4+I +8, I+8 and I-8+8 that is I + 12, I+8, I.
In 4 months, "the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. " mean:
(I+8)+I=140+(I+12)
2I+8=152+I
I=152-8=144
This solution made use of writing all the ages in terms of Ians current age.
Answer:
x = 111°
Step-by-step explanation:
<em>The interior sum of a triangle is 180°</em>
x + 37 + 32 = 180
x + 69 = 180
x = 111
<em>good luck, i hope this helps :)</em>
Area of square pizza = 15 *15 = 225 in²
area of circular pizza = πr² = 3.14 * 8² = 200.96 in²
how much more = 225 - 200.96 = 24.04 in²
Answer:
Please check the explanation.
Step-by-step explanation:
As the given graph includes distance 'd' at the y-axis and time 't' at the x-axis.
so from the distance-time graph, it is clear that the graph includes 5 chunks.
The first chunk of the graph indicates that the object has started traveling. And the distance 'd' is being covered in time 't', as the slope is upward, hence the speed of the object is increasing.
- Please note that speed is basically the distance covered per unit time.
The second chunk of the graph indicates the no distance is being covered. It means the object is at rest.
The third chunk of the graph indicates that the distance 'd' is being covered in time 't', as the slope is again upward, hence the speed of the object is increasing and the object has started traveling.
The fourth chunk of the graph indicates that the slope is downward, and the object has started traveling to get back to the destination, and eventually, the object has reached the starting point.
The correct selling price is about $20, and the likely mistake was the manager multiplied the $12 by .67 (the 67%), got about 8, and took that as the price instead of adding it to the original 12, which is what they were supposed to do.