Y-5=3-9(y+2). so so u are going to distribute-9 to y and 2 which is -9y-18
so u are going to add like terms 3 and -18 which is -15. so the next step is going to be y-5=-9y-15 so u are going to add 5 to -5 and -15 to balance the equation and u will get -10 . y=-9y -10. since u are multiplying -9 by y so have to expand it y= -9 * y -10. so u have to divide y by y to get y . -9-10= -19 soo y =-19
Answer:
Volume of the frustum is 76 unit³
Step-by-step explanation:
From the figure attached we have to calculate the volume of the frustum formed by cutting off a square pyramid from the top.
Volume of the frustum = 
Since ΔAPO' and ΔAOQ are similar so


O'P =
units
Therefore, side MN = 2× O'P = 4 units
Now we put these values in the formula
Volume of the frustum = 
= 
= 
= 
= 76 unit³
Answer:
X=20; pqr = 130°
Step-by-step explanation:
They key here is to notice that the instructions say that qs bisects pqr, meaning that it evenly cuts it into 2 pieces. So, to find x, you just solve for x in the equation 3x+5=2x+25. Then, you plug it back into either side of the equation, at which point, you should get 65. Since it is half of pqr, just double it to get your final answer of 130°
Hey there.
Considering our ratio from fruit to sugar is 2:3, this means we need to make a proportion. I will set this up below;
2:3 = 8:x; x is a variable substitute for our missing sugar value. Let's try to see if 2 divides into 8.
8 / 2 = 4; this means our scale factor of our ratio is 4x larger than the current value, so multiply 2 and 3 by 4 to solve for sugar.
2:3;
2 x 4 = 8; 8:x
3 x 4 = 12; 8:12.
12kg is the missing sugar value in our proportion; therefore, 12kg of sugar is used when 8kg of fruit is used.
I hope this helps!