Answer:
x=0.5
y = 10.5
Step-by-step explanation:
y = 3x + 7
y = 5x + 8
3x + 7 = 5x + 8
3x - 5x= 8 - 7
2x = 1
x= 1/2
x=0.5
y = 5x + 8
y = 5(0.5) + 8
y = 2.5 + 8
y = 10.5
Answer:
The cost of the rides are 3 tickets
And 1 ticket per game
The ride and game cost 3 tickets and 1 ticket for each respectively.
Step-by-step explanation:
Step 1 of 5
Let <em>a</em> be the number of tickets per ride costs. And <em>b</em> be the number of tickets per game costs.Thus from the given, we get the equations. For Scott, <em>5a+4b=19</em> For Isaac, <em>7a+2b=23</em>
Step 2 of 5
Multiplying the equation 2 by 2, we get <em>5a+4b=19→1</em> <em>14a+4b=46→2</em>
<em>Step 3 of 5</em>
<em>By subtracting both the equations, we get </em>
<em>(−)5a+4b=1914a+4b=46 </em>
<em>_____________ </em>
<em>−9a =−27 </em>
<em> a=−27−9⇒a=3</em>
Step 4 of 5
<em>Substituting the above value in the equation 1, we get5(3)+4b=1915+4b=194b=19−154b=4b=44⇒b=1</em>
<em>Step 5 of 5 </em>
<em>The solution is (3,1).The cost of the rides is 3 tickets per ride.The cost of the games is 1 ticket per game.</em>
<em>sorry its really confusing this how I was taught tho. </em>
X/4=2/5
Multiply 4 on both sides
Final Answer: 8/5 or 1 3/5 *Both answers are equivalent to each other.
7th term is 15 and the fourth term is 9
Common difference: (15-9)/(7-4) = 2
Counting backwards from the fourth term will give us the "zeroth term"
A0 = 1
The closed formula for the sequence is
An = dn + A0
The 25th term is:
A25 = 2(25) + 1
A25 = 51
Hope this helps!
Answer:
6
Step-by-step explanation:
Find the ratio between the two triangles:
x is parallel to side 9
10 is parallel to an unknown quantity (Which is 15 if you need that later)
8 is parallel to side 12
Considering we only have known quantities with 8 and 12, we will use those.
12÷8 = 1.5
Therefore, the ratio between the two triangles is 1.5
Since we know the bigger length of the triangle, we will divide to get an obviously smaller quantity.
9÷1.5 = x
x=6
or,
You can find the hypotenuse (even though that's obviously not what the lesson is but why not?).
a²+b² = c² is the formula.
x²+8² = 10²
x²+ 64 = 100
x² = 36
√36 = 6
So, x is equal to 6.
Hope this helps!