Answer:
The small balloon bouquet uses 7 balloons and the large one uses
18 balloons.
Step-by-step explanation:
Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:
6S + 6L= 150
S+L= 25 ----> 1st equation
For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:
6S + 1L= 60
1L= 60- 6S ----> 2nd equation
We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:
S+L = 25
S+ (60-6S)= 25
-5S= 25-60
-5S= -35
S= -35/-5
S=7
Then we can find L by substitute S value to 1st or 2nd equation.
S+L=25
7+L=25
L=18
1) the x-coordinate of the system can be given as follow:
2x+3y = 5 (i)
3x+5y =7 (ii)
we multiply (i) by 5 and (ii) by 3, we have
10x+15y = 25 (a)
9x+15y =21 (b)
so (a) - (b) implies x = 4,
2) We do the same method for
{2x + y = 2
{3x + 4y = -22,
and we found y = -10,
3) for the last one,
{5x + 4y = 2
{-2y = 8 + 4x
this system is equivalent to
{5x + 4y = 2 (i)
{4x + 2y = - 8 (ii)
so, multiply (i) by 4 and (ii) by 5, and we have
20x + 16y = 8 (a)
20x + 10y = -40 (b)
elimination of x gives 6y = 48 then y= 8, we can find x fastly by replacing y=8 in (i), so 5x +4(8) =2, which implies x= -6
finally the solution is S= {(-6, 8)}
Answer:
Sierra found that 15 meters is equivalent to 49.2 feet. Which of the following is an equivalent ratio?
3 to 8.84
5 to 18.22
7 to 22.96
9 to 25.32
Step-by-step explanation:
Answer:
the last 3
Step-by-step explanation:
math
<span>According to trigonometric the formula for sin is
sin = opposite/hypotenuse.Sin is defined as the ratio of sides of a right angled triangle.Hypotenuse is the is the longest side of a right-angled triangle,which is the side opposite of the right angle.So the the hypotenuse is clearly 1.3, so you divide 0.5/1.3
Hence the answer is around 0.38
The result is Angle2..</span>