Answer:
1159
Step-by-step explanation:
She wants to read 1000 pages per week for five weeks.
So in total she wants to read 1000 * 5 = 5000 pages.
The first three weeks she read 894 pages per week.
So during the first three weeks she read a total of 894 * 3 = 2682 pages.
We want to find how many pages she must read per week for the last two weeks to reach her goal.
Goal: 5000 pages
Pages read so far: 2682
Weeks remaining: 2
To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )
5000 - 2682 = 2318
So she must read 2318 pages during the last 2 weeks.
If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )
2318 / 2 = 1159
So for the last two weeks she must average 1159 pages per week.
Answer:
No, a regular pentagon does not tessellate.
In a tessellation, all the angles at a point have to add to 360 degrees, as this means there is no overlap, nor are there gaps. To find the interior angle sum of a pentagon, we use the following formula:
(n-2)*180 (where n is the number of sides)
We plug in the number of sides (5) and get:
Angle sum = (5–2)*180
Angle sum = 3*180
Angle sum = 540
Regular pentagons have equal sides and equal angles, so to find the size of the interior angle of a pentagon, we divide the angle sum by 5 and get 108 degrees for every angle.
As I said before, the angles at a point need to add up to 360, so we need to know if 108 divides evenly into 360. If it does, the shape tessellates, and, if it doesn’t, the shape does not.
360/108 = 3.33333…
This means that a regular pentagon does not tessellate.
Hope this helps!
Answer:
F and B (as far as I can see).
Step-by-step explanation:
First, let's simplify the equation. You can easily do this by dividing by -4.
-4x < 20
/-4 /-4
x > -5
REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!
On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.
On B, the 20 is negative instead of the 4. Does this change anything?
4x > -20
/4 /4
x > -5
Nope! It still simplifies to what we had at the beginning so it works!
C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.
E is wrong because we need the 5 to be positive.
F is obviously right compared to our first answer.
Answer:
4x - 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
- Terms/Coefficients/Degrees
Step-by-step explanation:
<u>Step 1: Define</u>
5(2x - 1) - 2(3x + 2)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 10x - 5 - 6x - 4
- Combine like terms (x): 4x - 5 - 4
- Combine like terms (Z): 4x - 9
Answer:
There are 8 chocolate chip cookies in the package
Step-by-step explanation:
In order to find that, we need to find the amount of other cookies. To start, we can multiply the total number of cookies by the percentages for sugar and oatmeal to get their totals.
48 cookies * 1/4 = 12 sugar cookies
48 cookies * 3/8 = 18 oatmeal cookies
Now that we know these two and add in the 10 cinnamon, we can subtract from the total.
12 sugar + 18 oatmeal + 10 cinnamon = 40 cookies
Knowing that there are 48 in total, we can figure there is 8 chocolate chip cookies.