Answer:
x=8.94 ; y = 1.58; z=2.02
Step-by-step explanation:
solve 10x+4y+12z = 120 → 5x+2y+6z = 60
8x + 2y +32Z = 160 → 4x+y+16z = 80
To eliminate z multiply first equation by 16 and second equation by 6.
80x+32y+96z = 960
24x+6y+96z = 480
on subtractionwe get 56x+26y = 480
dividing by 2 we get, 28x + 13y = 240
Now we have a given equation 11x + 77y = 220 → x + 7y = 20
solving 28x + 13y = 240 and x + 7y = 20
28x + 13y =240
28x + 216y = 560
subtracting we get, 203y = 320
y = 1.58
x = 8.94
z = 2.02
Answer:
See below.
Step-by-step explanation:
1.
Statement 8. triangle SQR is congruent to triangle TQP
Reason 8. ASA
2.
The only way to prove those two sides are congruent is to first prove that the triangles that contain those sides are congruent. Then you can use CPCTC to prove those sides congruent.
Answer:
3/4 cups of sugar
Step-by-step explanation:
So we know that 1/8 cup of sugar is for 1/3 OF a recipe.
So if we want the full recipe we jsut have to multiply 1/8 by 3 since its only worth 1/3 of the recipe.
You’ll get 3/8 cups of sugar for a whole recipe. The question asks for 2 full recipes and since we already know it takes 3/8 cups for one we can multiply that by 2 to find the amount of sugar needed for 2 full recipes.
You’d get 6/8 cups of sugar.
Simplified: 3/4
Answer:
12
Step-by-step explanation:
40 times 0.6 is 24. 24 times .25 is 12
You would add them all together and then divide the answer by how many numbers are there in this case there are 6 so you would all all 6 numbers then divide by 6
So all the numbers added together is 12 so then divide 12 and 6
the mean would be 6