Answer:
Equation;
(3/4)x = 2/3
Solving;
x = 8/9
she would need 8/9 of her sugar to make a full batch.
Step-by-step explanation:
Let x represent the amount of sugar that would be needed to make the whole batch.
Given that;
Pia used 2/3 of her sugar to make 3/4 of a batch of cookies.
Since 2/3 of her sugar is needed to make 3/4 of a batch of cookies, then;
(3/4)x = 2/3
Solving the equation, dividing both sides by 3/4;
(3/4)x ÷ 3/4 = 2/3 ÷ 3/4
x = 2/3 × 4/3
x = 8/9
Therefore she would need 8/9 of her sugar to make a full batch.
The answer is true since the amount of interest each year is inequality
Answer:
y + 4x
Step-by-step explanation:
For this problem, we will simply combine like terms using the distributive property and the commutative property.
First, let's use the commutative property:
2y + x + 3x - y
= 2y - y + x + 3x
Second, let's use the distributive property:
2y - y + x + 3x
= y ( 2 - 1 ) + x ( 1 + 3 )
= y ( 1 ) + x ( 4 )
= y + 4x
Hence, the simplification of 2y + x + 3x - y is y + 4x.
Cheers.
Answer:
Step-by-step explanation:
they have cell walls made of cellulose, whereas fungi have cell walls made of chitin. Like other protists, they have complicated life cycles with both asexual and sexual reproduction. They are motile cells during some stages of their life cycle.
Answer:
x=y2/8+y/2+9/2
Step-by-step explanation:
Given:
directrix: x=2
focus = (6,-2)
Standard equation of parabola is given by:
(y - k)2 = 4p (x - h)
where
directrix : x=h-p
focus=(h + p, k)
Now comparing the give value with above:
(h + p, k)= (6,-2)
k=-2
h+p=6
h=6-p
Also
directrix: x=h-p
h-p=2
Putting value of h=6-p in above
6-p-p=2
6-2p=2
-2p=2-6
-2p=-4
p=-4/-2
p=2
Putting p=2 in h-p=2
h=2+p
h=2+2
h=4
Putting k=-2, p=2, h=4 in standard equation of parabola we get:
(y - k)2 = 4p (x - h)
(y-(-2))^2 = 4(2) (x - 4)
(y+2)^2 = 8 (x - 4)
y2+4y+4=8x-32
y2+4y+4+32=8x
x=y2/8+4y/8+36/8
x=y2/8+y/2+9/2!