Answer:
B) h(x) = –2x + 200
Step-by-step explanation:
f(x) = 3x + 400
g(x) = 5x + 200
f(x) - g(x) = 3x + 400 - (5x + 200) = -2x + 200
5x + y = 9....multiply by 7
10x - 7y = -18
----------------
35x + 7y = 63 (result of multiplying by 7)
10x - 7y = -18
----------------add
45x = 45
x = 45/45
x = 1
5x + y = 9
5(1) + y = 9
5 + y = 9
y = 9 - 5
y = 4
solution is : (1,4)
=========================
-4x + 9y = 9
x - 3y = -6 ....multiply by 4
----------------
-4x + 9y = 9
4x - 12y = -24 (result of multiplying by 4)
---------------add
- 3y = - 15
y = -15/-3
y = 5
x - 3y = -6
x - 3(5) = -6
x - 15 = -6
x = -6 + 15
x = 9
solution is : (9,5)
So tis is a ratio 16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64
we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar
Answer:
14800
Step-by-step explanation:
The formula for simple interest (I) in terms of principal (P), rate (R) and time (T) is given as follows;
I = P x R x T / 100 ------------- (i)
Given:
Principal (P) = Initial amount being put into the account = 10000
Rate (R) = The interest rate being offered by the account manager = 4%
Time (T) = Time taken = 12 years
Substitute these values into equation (i) as follows:
I = 10000 x 4 x 12 / 100
I = 4800
Therefore, the initial amount will yield an interest of 4800 for those 12 years.
The total amount the employee will thus have in 12 years will be the sum of the initial amount and the interest. i.e
Amount = P + I
Amount = 10000 + 4800
Amount = 14800
Answer:
No, it is not a right triangle.
Step-by-step explanation:
Given:
The sides of the triangle = 15 10 and 7
To Find:
Whether the triangle is a right triangle = ?
Solution:
According to Pythagorean theorem , In an right triangle the the sum of the squares of the two smaller sides must equal to the square of the larger side
where
a and b are the smaller sides
c is the larger side
Now from the given data, lets assume
a = 10 and b =7 and c =15
Substituting in the above equation we get,
100 + 49 = 225
149 = 225
So, the given triangle is not a right triangle.
