Step-by-step explanation:
By Cosine rule, we have
s² = t² + u² - 2(t)(u)(cosS)
=> cosS = (t² + u² - s²)/2tu
=> cosS = (58² + 27² - 50²) / (2 * 58 * 27) = 0.5086.
Therefore S = cos^-1(0.5086) = 59.4° (1d.p.)
There are 2 unknown terms in this problem
the amount of cement the first team received is termed as 'x' hereafter
the cement the second team received is termed as 'y'
the first team received 50 kg less, the 1st equation is as follows;
x = y - 50 after rearranging
1) x-y = -50
for every hour 150 kg and 200 kg were used by the two teams separately
after three hours first team used up 150*3 = 450 kg
the second team used up 200 * 3 = 600 kg
however the first team had 1.5 times as much as second team had after three hours.
After three hours;
the amount second team had leftover was y - 600
the amount first team had leftover was x - 450
the amount the second team had ,multiplied by 1.5 is equal to what the first team had
we can build the 2nd equation using this information
1.5 * (y-600) = x-450
1.5y - 900 = x - 450
rearrange the equation,
1.5y - x = -450 +900
2) 1.5y - x = 450
add 1st and 2nd equations to eliminate x
1) + 2) (x - y = -50) + (1.5y - x = 450)
1.5y - y = 450 -50
0.5y = 400
y = 400/ 0.5
y = 800 kg
substitute y = 800 in x = y - 50
x = 800 - 50
x = 750 kg
first team received 750 kg and second team received 800 kg
-10,-0.5,5/16,3
This is the correct order
I would think it would be r
Answer:
Word/phrase : Equation
Equation:4x + 2 = $30
He can afford to buy 7 books without spending more than his gift certificate amount
Step-by-step explanation:
Step 1
We find the equation
Brett has a $30 online gift certificate. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2.
Hence,
$4 × x + $2 = $30
Where x = number of books that he can buy
4x + 2 = $30
Step 2
We solve for x
4x + 2 = 30
4x = 30 - 2
4x = 28
x = 28/4
x = 7
Hence, Brett can buy 7 books
Equation: 4x + 2 = $30
Word/phrase : Equation
He can afford to buy 7 books without spending more than his gift certificate amount
