If you replace the t with -1 then you'd have a positive 8
8-23=-15
Answer:
5 weeks
Step-by-step explanation:
We are given the following information;
- Price of gas in Bakersville as $2.10 per gallon
(increment per week is $0.20)
- Price of gas in Springfield as $2.60 per gallon
(Increment per week as $0.10 )
We are required to determine the number of weeks it will take for the prices to be the same in the two cities.
Assuming it will take n weeks for the prices to be the same, then
New price in Bakersville = $2.10 + $0.20n
New price in Spring field = $2.60 + $0.10n
Thus;
$2.10 + $0.20n = $2.60 + $0.10n
combining the like terms
0.10 n = 0.50
n = 5
= 5 weeks
Therefore, it will take 5 weeks for the prices to be the same both cities
<h2>
After full 30 days John will have 15 dozen speckled eggs to sell.</h2>
Step-by-step explanation:
Total number of hens John has = 51 hens
If there are 3 more hens, then total number of hens = 51 + 3 = 54 hens
Now, one third of the hens are speckled.
⇒ 18 hens are speckled.
Now, of the total 18 speckled hens lay speckled eggs.
⇒ 9 hens produce speckled eggs.
Now, one hen lays one egg in a day and a half.
⇒ 9 hens lay nine eggs in a day and a half
.
⇒ 9 hens lay 180 (15 doz.) eggs in days
Hence, after full 30 days John will have 15 dozen speckled eggs to sell.
The sum of the angles of acute angles in a right triangle is 90°.
Therefore w have the equation:
Calculate m∠A:
<h3>Answer: 67°</h3>
Answer:
B. 13.3
Step-by-step explanation:
Given:
AM = 6
MB = 4
AN = 8
Since ∆ABC ~ ∆AMN, therefore:
AB/AM = AC/AN
AB = AM + MB = 6 + 4 = 10
AC = AN + NC = 8 + NC
Plug in the values into the equation
10/6 = (8 + NC)/8
5/3 = (8 + NC)/8
Cross multiply
8*5 = 3(8 + NC)
40 = 24 + 3NC
40 - 24 = 3NC
16 = 3NC
Divide both sides by 3
5.3 = NC
NC = 5.3
✅AC = 8 + NC
Plug in the value of NC
AC = 8 + 5.3
AC = 13.3