Let A represent amount of Type A coffee pounds used.
Let B represent amount of Type B coffee pounds used
A + B = 156
B = 156 - A
A = 156 - B
5.80A + 4.65B = 826.60
580 (156 - B) + 4.65B - 826.60 = 0
904.8 - 5.80B + 4.65B - 826.60 = 0
904.8 - 1.15B - 826.60 = 0
78.2 - 1.15B = 0
78.2/1.15 = 1.15B/1.15
68 = B
B = 68 pounds of Type B coffee
There's many more steps you can take to check and etc but am too lazy to put down sorry.
the answer to the equation is fifteen
Answer:
$51.12
Step-by-step explanation:
Hello there!
In number 19, we want to find the total price of a sweatshirt that costs $48 dollars but has 6.5% sales tax
Sales tax is a small percentage of the cost of an item that is added to items when they are being sold.
In this problem, 6.5% of the cost of the sweatshirt will be added to the cost of the sweatshirt in the form of sales tax. The price of the sweatshirt plus the amount in sales tax will be the total cost of the sweatshirt.
Translating that as an equation,
48 + 48*6.5%=total cost
You can calculate 48*6.5% as
, which is equal to 3.12
So that means that $3.12 will be added to the cost of the sweatshirt.
Therefore,
48 + 3.12=<u>$51.12</u>, which will be the total cost of the sweatshirt, including sales tax
Hope this helps!
Answer:
B. 45°
Step-by-step explanation:
recall that Thales' theorem states that the diameter of a circle always subtends a right angle on any point on the circle.
what this means is that if ABC is the diameter of the circle, then AD and DC always meet at the circumference at 90°
in this case, if ∠ADC is 90° (by thales theorem), and AD = DC, then we have an isoceles triangle.
This also means that the base angles of the isoceles triangle, ∠DAC and ∠ACD must be equal.
recall that all interior angles of a triangle add up to 180°
180° = ∠ADC + ∠DAC +∠ACD
180° = ∠ADC + 2 ∠ACD
180° = 90° + 2 ∠ACD
2 ∠ACD = 90°
∠ACD = 45°
It’s 6(2r+5) :) i need more words