Answer:
Step-by-step explanation:
A linear equation in two variables doesn't involve any power higher than one for either variable. It has the general form Ax + By + C = 0, where A, B and C are constants. ... A quadratic equation, on the other hand, involves one of the variables raised to the second power. It has the general form y = ax2 + bx + c
Answer:
120 cm^3
Step-by-step explanation:
the edges are 4 cm 5 cm 6 cm
volume of cuboid=l×b×h
=4cm×5cm×6cm
=120cm^3
Answer:
2. 7.6
3. .057
4. Nine and three tenths
5. Forty two hundredths
6. Ninety two thousandths
Step-by-step explanation:
Answer:
20 cm
Step-by-step explanation:
An hexagon has 6 equal sides therefore its perimeter is obtained by summing up all the values of the 6 sides
For the bigger hexagon, the perimeter = 32 + 32 + 32 +32 + 32 + 32
or 6 *32
= 192 cm
Next, we'll calculate the perimeter of the smaller hexagon
Since their perimeters are in the ratio 8: 5
Let x represent the perimeter of the smaller hexagon
This gives;
8 : 5 = 192 : x
change to fraction
8/5 = 192 /x
cross multiply
8x = 192*5
8x = 960
Divide both sides by the coefficient if x which is 8
x = 120 cm
Since all sides of an hexagon are equal, we'll simple divide the value of the perimeter by the number of sides of the hexagon
120/6
20 cm
Therefore, the length of the corresponding smaller hexagon is 20 cm
Q=number of quarters
d=number of dimes
so the value of 1 quarter=0.25 and 1 dime=0.10 so therefor the total value would be
0.25q+0.1d=2.9
total number of coins=20
q+d=20
solve
we have
0.25q+0.1d=2.9 and
q+d=20
multiply the first equation by 10
2.5q+1d=29
so we have
q+d=20
2.5q+d=29
multiply first by -1 and add
-q-d=-20
<u>2.5q+d=29 +
</u>1.5q+0d=9
1.5q=9
multipliy both sides by 2
3q=18
divide by 3
q=6
subsitute
q+d=20
6+d=20
ubtract 6
d=14
14 dimes
6 quarters
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