Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1
Given that two digit numbers are used and one digit is drawn randomly.
Sample space = {10,11,...99}
n(S) = 90
32 is only one number favorable
Hence P(32) = 1/90
----------------------------
Odd numbers are exactly 45.
Hence prob (odd number) = 45/90 = 1/2
-------------------------------------
Multiples of 5 are 10,15,.....95
There are exactly 18 numbers.
Hence P(a multiple of 5) = 18/90 =1/5
Have an amazing day! <3
To
answer this question we have to first determine how many times 100
can go into 13,300. To find this we do the following:
<span>$13,300/$100
= 133</span>
<span>Now
we simply multiply the result by $2.74:</span>
<span>$2.74*133
= $364.42.</span>
<span>Finally
we just multiply that by the total number of payments which are
(monthly payment, 12 months in a year, for 4 years).</span>
<span>$364.42*(12*4)
---> $364.42*48 = $17,492.16.</span>
The correct answer is choice 4.) 17,492.16
<span>I
hope this helps, Regards.</span>
Answer:
<em>The ladder touches the wall at 24 feet from the ground.</em>
Step-by-step explanation:
The wall of the building, the ground, and the ladder form a right triangle, whose longer side is the length of the ladder.
In any right triangle, we can apply Pythagora's theorem to find any missing side length.
The ladder is 26 feet in length, the distance from the bottom of the ladder and the building is 10 feet. Calling H to the distance above the ground where the ladder touches the wall, then:

Calculating:

Solving:



H=24 feet
The ladder touches the wall at 24 feet from the ground.
It depends how many outfits she has and how many outfits have red shoes