Answer:
Cost of a coffee is <u>$2.5</u> and cost of a latte is <u>$4.25.</u>
Step-by-step explanation:
Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.
Given:
4 coffees and 12 lattes cost $61.
12 coffees and 7 lattes cost $59.75.
∵ 1 coffee cost = 
∴ 4 coffees cost = 
and 12 coffee cost = 
∵ 1 latte cost = 
∴ 12 lattes cost = 
and 7 lattes cost = 
Now, as per question:
Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,
Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,
Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.
Answer:
75%
Step-by-step explanation:
For this case, the first thing we will do is name variables:
a: percentage from ticket sales
b: ticket sales
We have then:
a = 75%
b = (0.75) * (3200) = $ 2400
Answer:
a = 75%
b = (0.75) * (3200) = $ 2400
The amount of ticket sales is $ 2400.
Answer:
145°
Step-by-step explanation:
There are a couple of ways you can get there:
1. ∠ACB is a right angle, 90°. Hence, ∠BAC is the complement of ∠ABC, so is ...
... ∠BAC = 90° -∠ABC = 90° -55° = 35°
Then, ∠BAC and ∠BAD are a linear pair, so total 180°. That makes ∠BAD the supplement of ∠BAC, so ...
... ∠BAD = 180° -35° = 145°
2. ∠BAD is the exterior angle at A for the triangle ABC. It will have a measure that is the sum of the opposite interior angles: given ∠ABC = 55° and right angle ACB = 90°.
... ∠BAD = 55° +90° = 145°
Answer: 296 degrees
Step-by-step explanation:
Arc PRT is just the entire circumference - arc PT.
Since the 64 degree angle is a central angle, arc PT measures 64 degrees.
So arc PRT = 360 degree - 64 degree = 296 degrees.
Answer:
10.5 is the answer
Step-by-step explanation:
4(5y−8−2)=185−15
(4)(5y)+(4)(−8)+(4)(−2)=185+−15(Distribute)
20y+−32+−8=185+−15
(20y)+(−32+−8)=(185+−15)(Combine Like Terms)
20y+−40=170
20y−40=170
20y−40+40=170+40
20y=210
20y/20=210/20
y=21/2
y=10.5
