A conclusion that you can make about numbers in scientific notation with negative exponents that the answer is going to be negative!
Answer:
x=13
Step-by-step explanation:
14x-2=180
+2 +2
14x=182
/14 /14
x=13
n + q = 35
n = 35-q
0.05n + 0.25q = 8.15
0.05(35-q) +0.25q = 8.15
1.75 -0.05q + 0.25q =8.15
1.75 + 0.20q = 8.15
0.20q = 6.40
q = 6.40 / 0.20 = 32
32 quarters and 3 nickels
Answer:
$19.50
Step-by-step explanation:
You can set up a simple equation where t-shirts are represented by t and cost by c.
$78=4t.
To solve this equation, you want to get the variable isolated. To do this divide four on both sides since the t is multiplied by 4 and to undo multiplication, you divide. So you divide 4t by four, which gets you 1t, and then you divide 78 by 4 (because whatever you do to one side you have to do it to the other) which gives you 19.5. So the remaining equation is
$19.50=1t
And since t represents t-shirts, the equation is saying that $19.50 is equal to one t-shirt.
Answer:
a)<em> k(x) = 5x - 2</em>
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
<u>k-¹(x) = (x+2)/5</u>
b) <em>h</em><em>(</em><em>x</em><em>)</em><em> </em><em>=</em><em> </em><em>(</em><em>x</em><em>+</em><em>1</em><em>0</em><em>)</em><em>/</em><em>(</em><em>x</em><em>-</em><em>3</em><em>)</em><em> </em>
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
<u>h-¹(x) = (3x+10)/(x-1)</u>
