Answer:
6 cups of flour
Step-by-step explanation:
we know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour
Answer:
1.9
Step-by-step explanation:
Use triginometry to find the side length. So cosθ=
. Rearrange the equation so it looks like 2cosθ=?. We are given θ (20 degrees) so 2cos(20degrees)=?.
Answer:
There are 209 4-digit nu numbers with 17 as consecutive digits
Step-by-step explanation:
17xx xx represent 00 through 99, a set of {100} members.
y17z. y can be 1 through 9 {9}. z can be 0 thru 9 {10}
ww17 which includes 10 thru 99, a set of {90}
Add 100+90+10+9 to get 209 possible combinations.
Answer:
<h2>V = x³ + 54x² + 936x + 5,184</h2>
Step-by-step explanation:
<h3 /><h3>If we add a value of 'x' to each side of the box, the new dimensions can be represented as</h3><h3>x + 24</h3><h3>x + 12 and </h3><h3>x + 18</h3><h3 /><h3>To find the volume of the new box, multiply all of the dimensions together</h3><h3 /><h3>V = (x + 24)(x + 12)(x + 18) </h3><h3> Foil the first and second binomial....</h3><h3 /><h3>V = (x² + 36x + 288)(x + 18)</h3><h3> Now multiply the two polynomials together...</h3><h3 /><h3>V = x²(x) + 36x(x) + 288x + x²(18) + 36x(18) + 288(18)</h3><h3 /><h3>V = x³ + 36x² + 288x + 18x² + 648x + 5,184</h3><h3 /><h3>which simplifies to</h3><h3 /><h3>V = x³ + 54x² + 936x + 5,184 where x represents the increase in inches</h3>
