<span> -14x + 11y = 23
+2(7x - 3y = 37)
----------------------
0 + 5y = 97
y = 97/5
y = 19.4
7x - 3(19.4) = 37
7x - 58.2 = 37
7x = 37 + 58.2
7x = 95.2
x = 95.2/7
x = 13.6
Check
-14(13.6) + 11(19.4) = 23
-190.4 + 213.4 = 23
</span>
Answer:
1. C
2. D
3. C
Explanation:
1. Girls = 12 plus twice the number of boys, so C. y = 12 + 2x.
2. You have to see which point has the second value being greater than the first value:
A) -1 > -2 is not true
B) 0 > 1 is not true
C) 2 > 3 is not true
D) 8 > 4 is true, so it's D
3. Add the two values and see if it's less than 5
A) -1-4 < 5 is true
B) 0 + 4 < 5 is true
C) 1 + 7 < 5 is not true, so this is the answer
D) 2 + 2 < 5 is true
Answer:
2^4
2 * 2 * 2 * 2
Step-by-step explanation:
In the question above :
Write an exponential expression:
Base = number between 0 and 10
Exponent = number different from the base between 0 and 10
Let base = 2
Let exponent = 4
Hence, exponential expression will be
Base^exponent
2^4 (standard form)
Expanded form:
2 * 2 * 2 * 2 (multiply 2 in 4 places)
Answer:
He should work 
hours in overtime.
Step-by-step explanation:
Let x represents the number of hours of regular time and y represents the number of hours of overtime,
Since, earnings are $24 per hour for regular time and $36 per hour for overtime,
Thus, total earning = (24x + 36y) dollars,
Here, x = 40 hours and total earning = $ 1200,
By substituting the values,
1200 = 24(40) + 36y
1200 = 960 + 36y
240 = 36y
⇒ 
Hence, he should work hours in overtime.
The radius of a circle is
always half of the diameter of the circle. In this case, the diameter is
, meaning that when we halve
, we will get our radius. Therefore, the radius of the circle is
. Hope this has helped you understand and have a great day!
