Answer:
2.9 x 10∧-7
Step-by-step explanation:
Hey!
Let p = cost of a pen
<span>Let n = cost of a notebook </span>
<span>The info in the question leads to two equations: </span>
<span>1) 2p + 3n = 5.55 </span>
<span>2) p + 2n = 3.50 </span>
<span>Multiply equation 2) by 2 to get the new system of equations </span>
<span>1a) 2p + 3n = 5.55 </span>
<span>2a) 2p + 4n = 7.00 </span>
<span>Subtract equation 1a) from equation 2a) to get </span>
<span>n = 1.45 ...................... that's the cost of one notebook </span>
<span>~~~~~~~~ </span>
<span>To check, you could go on to figure out p, which turns out to be 0.60 . Put in those values of n and p into the original equations to verify.</span>
Hope this helps! ~Nadia~
Answer:
Option A
Step-by-step explanation:
To be considered skew lines, both must not intersect or be parallel.
Answer:
a) 11
Step-by-step explanation:
Since activity H came before all other activities, we can discard 14 and 18 as possible answers. Also the exercise tells us that all those activities came immediately after activity H, that means that activity H finishes right before the first activity from K, M and S starts. This means that activity H should end at 11, because that is the start time for the first activity.
Answer:
Width: 9 inches
Step-by-step explanation:
1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial
2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3
3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided <em>the frame's dimensions are proportionately enlarged.</em> Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4
4. Through cross multiplication, let us solve for x:
2 * 5.4 = 3 * x,
10.8 = 3 * x,
x = <em>3.6 inches by which the width should be enlarged</em>
5. If we are to determine the new width of the frame after enlargment, add <em>5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches</em>
