Answer:
54 degrees
Step-by-step explanation:
The problem statement tells you the sum of measures:
y +(2y) +(2y+4) +(2y+2) +(3y-6) = 540
y(1 +2 +2 +2 +3) +(4 +2 -6) = 540 . . . collect terms
10y = 540 . . . . simplify
y = 54 . . . . . degrees
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
First let us find the slope:
Points (x , y) = (-2 , 1) and (5 , 8)
Slope m = (y₂ - y₁)/(x₂ - x₁) = (8 - 1) / (5 - -2) = 7/(5 + 2) = 7/7 = 1
Slope m = 1.
Equation of a line by point slope form y - y₁ = m(x - x₁)
Using the point (5, 8) x₁ = 5, y₁ = 8, m = 1
y - y₁ = m(x - x₁)
y - 8 = 1(x - 5)
y - 8 = 1*(x - 5) Point slope form of equation
But let's just simplify further
y = x - 5 +8
y = x + 3
<span>Equation is also y = x + 3
</span>Hope this helps.
Hello!
To find how many calories in three cups we can use the proportion below.
To find our answer we can say, "How many times does 3/4 go into 3," and then multiply that number by 90 as shown below.
3÷3/4=4
90(4)=
360Just to verify, we will cross multiply and check our answer
90(3)÷3/4
270÷3/4=360
Therefore, our answer is
D) 360 calories.
I hope this helps!