Answer:
19
Step-by-step explanation:
The opposite sides are equal, so:
PS = 3y+1
RS = 4y+2
QR = 3y+1
PQ = 4y+2
Therefore, we can set the perimeter 90 = PS+RS+QR+PQ
90 = (3y+1) + (4y+2) + (3y+1) + (4y+2), or,
90 = 2(3y+1) + 2(4y+2)
90 = 6y+2 + 8y+4
90 = 14y + 6
84 = 14y
y = 6
Then, we go back to the question. It's asking for the length of PS. PS = 3y+1, so we plug in 6 for y
3(6)+1
18 + 1 = <u>19</u>
Answer:
If the number being multiplied by -1 is positive it just turns it negative, but if the number being multiplied by -1 is also negative it becomes positive. Basically if flips the sign.
Step-by-step explanation:
EX) 25 x -1 = -25
EX) -25 x -1 = 25
Answer
A: $28,000
B: 15 years
Step-by-step explanation:
A: Since $25,000 is deposited in the bank and you earn 4% interest annually over 3 years you would earn 12% interest. 12% of 25,000 is 3,000. The sum of 25,000 and 3,000 is 28,000 having you earn $28,000 over 3 years.
B: Since every year you earn 4% annual interest and you have $25,000 deposited in the bank you have to find what percentage of 25,000 equals 15,000. Since 25,000 isn't exactly easy to find multiply it by 4. That leaves you with 100,000 which we know you don't have in the bank but it will make it easier to find the percentage. You will also have to multiply 15,000 by 4 giving you 60,000. Now divide the 60,000 by 1,000 which equals 60. What's the point of the number 60? Well, that's the percentage it takes. Now divide 60 by the annual interest which is 4 and that gives you 15. 15 is the number of years it will take for the balance to reach $40,000.
Hope this helps!
Y=2x+0. The two would be next to the x, because that represents the slope. And it would plus zero, because zero is the initial value, since it's passing through the origin.
The question is incomplete. The complete question is as follows.
Consider the reduction of the rectangle. A large rectangle has a length of 16.8 feet and width of 2.3 feet. A smaller rectangle has a length of 4.5 feet and width of x feet. Not drawn to scale (The drawing is in the attachment). Rounded to the nearest tenth.
What is the value of x?
A. 0.1 feet
B. 0.6 feet
C. 1.6 feet
D. 2.0 feet
Answer: B. 0.6 feet
Step-by-step explanation: Two quantity are proportional if the ratio of them is constant. From the drawing and the question, we have that the two rectangles are proportional between them.
x = 
x = 0.6
The width of the smaller rectangle is <u>0.6 feet</u>.
