<span>1. </span><span>Nia has 2, 3, 8, 9 and 5 in her
cards. How can she arrange it to be an even numbers with the 2 in the ten
thousands place.
Now, Nia has 5 cards, that means, the biggest value she can have is ten
thousands which is stated to be 2.
=> 20 000
=> We still have 3, 8, 9 and 5
=> Let’s have 3 thousands, which is
also an even number
=> let’s have 5 as hundreds, also an even number
=> We can have 9 tens, which is also an even number
=> and last is 8 ones, which is also an even number
Thus, the number will be:
=> 23 598, this is an even number because it can be divide by 2
=> 11 799
</span>
Answer:
A) 6x + 5y = 82
B) 2x + 5y = 54 We'll multiply equation B) by -1
B) -2x -5y = -54 Then we'll add this to A)
A) 6x + 5y = 82
4x = 28
x = 7
y = 8
Step-by-step explanation:
Answer:
It increases
Step-by-step explanation:
if b increases and the only other part of the equation is a constant it should increase as well. for example (the first value is b and the second is b-1) : (1,0) (2,1) (3,2) (4,3) (5,4)...
Answer:
6.5in
Step-by-step explanation:
find the area of the shaded regions
fine the surface area of the square
A = 2×2
A = 4
find the area of the triangle
A = 1/2bh
A = 1/2×2×2.5
A = 2.5
add the areas
2.5+4 = 6.5
Let's make,
mechanic #1's rate = x
mechanic #2's rate = y
* Their rate is dollars per hour ($/hr)
mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1
and mechanic #2 worked for 5 hours
5y = money earned by mech#2
together they charged a total of $1150. So the amount of money earned by both mechanics.
20x + 5y = 1150
the sum of the two rates was $95 per hour.
x + y = 95
which means
x = 95 - y
plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.
20(95 - y) + 5y = 1150
solve for y
1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr
Now use this to solve for x
x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr
mech#1 charged 45$/hr
mech #2 charged 50$/hr
