Answer:
1.) X = 7 and Y = 5
2.) 5 streamers
Step-by-step explanation:
According to the question, you are given the inequality equation of
2.5x + 3.5y < = 35
Since the equation is less than or equal to, than means that the equation can be 2.5x + 3.5y = 35
According to the graph,
X = 14 and Y = 10
Substitute both into the equation if it will not exceed 35
2.5(14) + 3.5(10) = 35
35 + 35 = 70. This is wrong.
Take the half value of both x and y and substitute again
X = 7 and Y = 5
2.5(7) + 3.5(5)
17.5 + 17.5 = 35
Therefore, she can buy 7 helium - filled balloons and 5 streamers
2.) If Julie buy 6 ballons, substitute x for 6 in the inequality equation to find y
2.5(6) + 3.5y < = 35
Open the bracket
15 + 3.5y < = 35
Collect the like terms
3.5y <= 35 - 15
3.5y <= 20
Make y the subject of formula
Y <= 20/3.5
Y < = 5.7
We can therefore conclude that she can buy 5 streamers. Or 5 1/2 if possible.
Tan52° = x/29
The angle of elevation is 52°, so that must be inside the tan function.
Tan is the ratio of the opposite side to the adjacent side. Jessica’s height is unknown, so we can call that x. The adjacent side of the triangle is the shadow, which is 29’m. Since tan is opposite over adjacent (remember SOH CAH TOA), the fraction must be x/29.
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
1 pizza is cut into 6 pieces so 2 pizzas make 12 pieces.
the 12 pieces are shared among 3 people 12÷3=4
=4
Answer:
y = 26
Step-by-step explanation:
Write the direct variation equation.
y = ax
Substitute y for 6 and x for 4.
The new equation is:
6 = a(4)
Simplify:
6 = 4a
Divide by 4 on both sides to get a = 6/4.
________________________________
y = 6/4(24), 6/4 x 24 is 104/4. 104/4 is 26.
y = 26