Answer:
(2,3)
Step-by-step explanation:
use the equal values method.
set y equal to itself.
y = -2x+7 but also 5x-7
-2x+7=5x-7 ............................. solve the equation
7x=14
x=2
Now substitute the x value into one of the equations given. for example i'll do -2x+7.
-2(2) +7 =y
-4+7=y
3=y
so thats your answer
x=2, y=3
(2,3)
Answer:
a) 64° each
b) 15.78 cm
c) 51.78 cm
Step-by-step explanation:
a) (180 - 52)/2 = 64°
b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm
c) 18 + 18 + 15.78 = 51.78 cm
Answer:
surface are: 300 cm2
volume: 450cm3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formulas:
Surface area of a box = 2wl + 2hw + 2 lh
Where w is the width of the box, l is the length of the box, and h is the height of the box.
The top sides and bottom have only length and width, since there is no top side, the surface area is equal to the outer 5 surfaces.
S = wl + 2hw + 2 lh
Replacing with the values given:
S = (15x10)+ 2(3x10)+ 2(15x3)
S = 150+60+90=300 cm2
For the volume we simply apply:
Volume of a rectangular prism: length x width x height
V = 15x10x3 = 450cm3
Feel free to ask for more if needed or if you did not understand something.
a. The probability of picking exactly two $10 bills is 
b. The probability of picking at most one $5 bill is 
<em><u>Explanation</u></em>
Number of $10 bills 
and number of $5 bills 
Total number of bills= 5+3 = 8. You need to randomly pick 4 bills, so the total possible outcome
<u>a. </u>
For getting exactly two $10 bills, you need to pick two $10 bills and two $5 bills. That means we will pick two $10 bill from 5 bills and two $5 bills from 3 bills.
So, the probability 
<u>b.</u>
For getting at most one $5 bill, you need to pick <u>either zero or one</u> $5 bill.
If you pick <em>zero</em> $5 bill, that means there are <em>four</em><em> </em>$10 bills
and if you pick <em>one </em>$5 bill, that means there are <em>three </em>$10 bills.
So, the probability 
Step-by-step explanation:
11/2 slices of cake. hope it will hepl