Answer:
k = 2.5
Step-by-step explanation:
The standard form of a proportional equation is
y = kx ← k is the constant of proportion
y = 2.5x ← is in this form
with k = 2.5
Of means multiply
3/5 *n=30
3/5 5/3 cancels than you do 30 *5/3 =50
The answer is 50 you can check your answer by doing 3/5 *50=150/5 or 30 so it's correct .
We can solve
<span>7/9 > x/13
for x.
multiply both sides by 13:
</span>
7/9 > x/13
7/9*13 > x/13 * 3
<span>7/9*13 > x
91/9 > x
reverse it to get
x < 91/9
this says that x has to be less than 91/9 for the inequality </span><span>7/9 > x/13 to be true.
91/9 in decimal form is 10.1 repeating.
the greatest integer x is therefore 10
answer is 10
can verify:
7/9 > x/13
7/9 is approximately 0.777777 so
0.7777 > x / 13
for x = 10, we have 10/13 = 0.7692. and 0.7777 is bigger than that
try next integer. at x = 11, we have 11/13 = 0.8462. this is bigger than 0.7777
so the answer is 10. that's the greatest integer
</span>
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.