180 = 24 x
7.5 = x
angle P = 85
angle Q = 45
angle R = 50
No this triangle is scalene because the sides nor the angles are congruent.
Answer: 7 packs of gum.
Step-by-step explanation:
If the total amount of the purchase is $8.82 and the individual price is $1.26, to find out how many packs Kareem purchased, we need to divide the total amount spent ($8.82) by the amount of each pack ($1.26), so:
8.82 ÷ 1.26 = 7
So, Kareem bought 7 packs of gum.
The solutions of the equations of the situation can be:
z = 1 , y = 5, x = 4
z= 2 , y = 3, x = 5
z=3 , y = 1, x = 6
z = 0 , y = 7, x =3
The question can be expressed as a equation
6 x + 8 y + 10 z = 84
also, x + y + z = 10
⇒ x = 10- y - z
Putting it in first equation,
6(10 - y - z ) +8y + 10z = 84
⇒ 60 +2y + 4z = 84
⇒2(y + 2z ) = 14
⇒ y + 2z = 7
Now putting
z = 1 , we get y = 5,
z= 2 , y = 3
z=3 , y = 1
z = 0 , y = 7
So, only 4 possible solutions.
Therefore, there can only be 4 possible solutions for the equations.
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Answer:
547.5 cm
Step-by-step explanation:
730(9/12)=547.5
The next larger hundred is 5,100 .
The next smaller hundred is 4,900 .
5,000 is exactly midway between 4,900 and 5,100.
Neither of them is closer to 5,000 than the other one is.
So 5,000 is already rounded to the nearest hundred.