Answer:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
Step-by-step explanation:
Given
Required
What does 9m + 3(1.2m) represent
The expression can be split to:
9m and 3(1.2m)
<u>For 9m:</u>
From the question, we understand that:
Multiply both sides by 9
This means that:
9m = the cost of lessons for 9 hours on weekdays
<u>For 3(1.2m):</u>
From the question, we understand that:
Multiply both sides by 3
This means that:
3(1.2m) = the cost of lessons for 3 hours on weekends
Hence, the expression represents:
The cost of lesson for 9 hours on weekdays and 3 hours on weekends
The measurement of AB is 16.23.
Solution:
Given ACB is a right angled triangle.
AC = 10, ∠C = 90° and ∠A = 52°.
cos θ ≈ 0.616
Here AC is the base and AB is Hypotenuse.
To find the length of AB:
Do cross multiplication, we get
AB = 16.23
Hence the measurement of AB is 16.23.
Answer:
m∠U = 103° and m∠TRS = 6°
Step-by-step explanation:
In the given circle O,
Since, RS║VU, and VR is a transverse,
Therefor, m∠V + m∠R = 180° [Consecutive interior angles]
m∠R + 103° = 180° [m∠R = 103° given]
m∠R = 180° - 103°
m∠R = 77°
Since m∠R = m∠VRT + m∠TRS
77° = 71° + m∠TRS
m∠TRS = 77° - 71° = 6°
Quadrilateral RTUV is a cyclic quadrilateral.
Therefore, m∠U + m∠R = 180°
m∠U + 77° = 180°
m∠U = 180° - 77° = 103°
Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
Step-by-step explanation:
3b + 2f = 17
2b + 4f = 18
-6b - 4f = -34
6b + 12f = 54
8f = 20
f = $2.50 fries
3b + 2(2.5) = 17
3b + 5 = 17
3b = 12
b = $4 burger
