The two designers will charge same amount for 8 hours.
Step-by-step explanation:
Designer A charges;
Initial fee = $480
Charges per hour = $105
Let,
x be the number of hours, therefore, total cost for x hours will be;
A(x) = 480+105x Eqn 1
Designer B charges;
Initial fee = $840
Charges per hour = $60
B(x)=840+60x Eqn 2
When the amount will be same, both functions will be equal, therefore
A(x)=B(x)
Dividing both sides by 45
The two designers will charge same amount for 8 hours.
Keywords: function, division
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6x+25 should be the answer. we have no = value so the x is separate
Answer: D
Step-by-step explanation:
Let x be the measure of both legs since the given is an isosceles right triangle. By the Pythagorean theorem we calculate for the legs,
x² + x² = (5 sqrt 6)²
The value of x from the given equation is approximately 8.66 units.
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
