Answer:
Step-by-step explanation:
A right triangle has one angle of 90.
If you add up all the angles ;
19+12+16= 47
It equals 47 so this is not a right triangle.
If it it is less than 90, it is an acute angle.
Therefore this angle is an acute triangle.
Answer:
The pints of each of the two existing types of drinks are 22 and 88 respectively.
Step-by-step explanation:
We are given that the Royal Fruit Company produces two types of fruit drinks. The first type is 70% pure fruit juice, and the second type is 95% pure fruit juice. The company is attempting to produce a fruit drink that contains 90% pure fruit juice.
Let the first type of fruit drink pints in the mixture be 'x' and the second type of fruit drink pints in the mixture be 'y'.
So, according to the question;
- <u>The first condition</u> states that we have to make 110 pints of a mixture of two types that is pure fruit juice, that means;
x + y = 110
x = 110 - y ---------------- [equation 1]
- <u>The second condition</u> states that the first type is 70% pure fruit juice, and the second type is 95% pure fruit juice, that means;
![0.70x+0.95y=0.90\times 110](https://tex.z-dn.net/?f=0.70x%2B0.95y%3D0.90%5Ctimes%20110)
![70x+95y=9900](https://tex.z-dn.net/?f=70x%2B95y%3D9900)
![70(110-y)+95y=9900](https://tex.z-dn.net/?f=70%28110-y%29%2B95y%3D9900)
![7700-70y+95y=9900](https://tex.z-dn.net/?f=7700-70y%2B95y%3D9900)
![25y=9900-7700](https://tex.z-dn.net/?f=25y%3D9900-7700)
![y=\frac{2200}{25}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B2200%7D%7B25%7D)
y = 88
Now, putting the value of y in equation 1 we get;
x = 110 - y
x = 110 - 88 = 22
Hence, the pints of each of the two existing types of drinks are 22 and 88 respectively.
First divide 3 by -1 which gives you -3 which you can add over to isolate x. After that subtract x from the left side to cancel out both xs. Since there is no x there is no solution.
<h3>Given</h3>
regular paper costs $3.79 per ream
recycled paper costs $5.49 per ream
$582.44 was spent for 116 reams
<h3>Find</h3>
the numbers of reams of each type that were purchased
<h3>Solution</h3>
Let r and g represent the numbers of reams of regular and recycled ("green") paper, respectively.
... r + g = 116 . . . . . . . . 116 reams were purchased
... 3.79r + 5.49g = 582.44 . . . . this is the total cost of the purchase
Solve the first equation for r and substitute that into the second equation.
... r = 116 - g
... 3.79(116 - g) + 5.49g = 582.44 . . . . . use the expression for r
... 1.70g + 439.64 = 582.44 . . . . . . . . . simplify
... g = (582.44 -439.64)/1.70 = 84 . . . . subtract the constant, divide by 1.70
... r = 116 -84 = 32 . . . . . . . . . . . . . . . . . use the equation for r
32 regular reams and 84 recycled reams were purchased
Answer:
104%
Step-by-step explanation:
if it has to do with percentages