Answer:
x=5
Step-by-step explanation:
To start solving this, you want to solve an equation for y. I chose 3x - 7y = 4 for later purposes. Subtract 3x from both sides and divide by -7 to get y = 4 - 3x / -7. Now because we have a value for y in terms of x, plug this into the other equation, x + 7y = 16. It now should look like this: x + 7(4 - 3x / -7) = 16. Now just distribute the 7 and simplify the denominator to get x+ (-4+3x)=16. This can now be 4x +4 = 16, starting to look familiar now. Lastly subtract the 4 from both sides and divide by 4 to get x = 5. Hope this helps!
Answer:
Suppose you have a gift certificate worth $20 for one long-distance phone call. If the charge is $1.10 for the first minute and $0.42 for each additional minute , what is the longest that you can talk?
20 - 1.10 = 18.9
18.9 / 0.42
= 45
Step-by-step explanation:
Answer:
<h2>3.6°</h2>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <8, 7>, v = <9, 7>
we will be using the formula below to calculate the angle between the two vectors;
is the angle between the two vectors.
u = 8i + 7j and v = 9i+7j
u*v = (8i + 7j )*(9i + 7j )
u*v = 8(9) + 7(7)
u*v = 72+49
u*v = 121
|u| = √8²+7²
|u| = √64+49
|u| = √113
|v| = √9²+7²
|v| = √81+49
|v| = √130
Substituting the values into the formula;
121= √113*√130 cos θ
cos θ = 121/121.20
cos θ = 0.998
θ = cos⁻¹0.998
θ = 3.6° (to nearest tenth)
Hence, the angle between the given vectors is 3.6°
Answer:
rational number
Step-by-step explanation: it is a whole number