2 times 2=4
multiply first equation by 2 to get
-4x+6y=12
then add to get
-4x+6y=12
<u>4x-2y=8 +</u>
0x+4y=20
4y=20
y=5
sub back
-2x+3y=6
-2x+3(5)=6
-2x+15=6
-2x=-9
x=9/2=4.5
the number to multiply by is 2
Answer:
- (b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
- 1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
Answer:
x+v/2y
Step-by-step explanation:
Move 2 to the left of y
Mejor respuesta
equivale a doce unidades, por ejemplo:
tengo 12 huevos = tengo una docena de huevos, pero tambien se pueden acumular, por ejemplo:
tengo 24 canicas = tengo 2 docenas
y para sacar las docenas solo divides el numero o las unidades entre 12
UnDeR · hace 7 años
Since there is no figure attached, I will describe the derivation of the ideal gas law. The combined
gas law has no official founder; it is simply the incorporation of the three
laws that was discovered. The combined gas law is a gas law that combines
Gay-Lussac’s Law, Boyle’s Law and Charle’s Law.
Boyle’s law states that pressure is inversely proportional with volume
at constant temperature. Charle’s law states that volume is directly
proportional with temperature at constant pressure. And Gay-Lussac’s law shows
that pressure is directly proportional with temperature at constant volume. The
combination of these laws known now as combined gas law gives the ratio between
the product of pressure-volume and the temperature of the system is constant.
Which gives PV/T=k(constant). When comparing a substance under different
conditions, the combined gas law becomes P1V1/T1 = P2V2/T2.