Answer:
You will need 3 6/13 quarts of peanuts to make 3 jars of peanuts butter
Step-by-step explanation:
To make this answering seamless, we make the mixed fractions into improper fractions
Hence 2 1/2 becomes 5/2
while 2 1/6 becomes 13/6
Here we are told that a bag with 5/2 quarts of peanuts can make 13/6 jars of peanuts butter
Hence, x quarts of peanuts will make 3 jars of peanuts butter
To get the value of x, what we simply need to do is to cross multiply.
Thus, we have
5/2 - 13/6
x - 3
3 * 5/2 = 13/6 * x
15/2 = 13x/6
26x = 90
x = 90/26
x = 45/13
x = 3 6/13
X^3 -2x^2 -35x
=x(x^2-2x-35)
=x(x-7)(x+5)
Answer:
A. True
Step-by-step explanation:
Answer:
The height of the triangle is 7cm and the base is 16cm
Step-by-step explanation:
First of all we have to know the formula to calculate area of a triangle
a = area = 56
b = base
h = heigth
a = (b * h)/2
we replace the known values and we make 2 equations
56cm² = (b * h)/2
b = h + 9cm
we replace b by (h + 9cm) in the first equation
56cm² = (h + 9cm * h)/2
56cm² * 2 = h² + 9h
0 = h² + 9h - 112cm²
we use bhaskara formula:
(-b (±) √
(b² - 4ac) ) / 2a
we replace with the known values
h = (-9 (±) √
(9² - 4*1*(-112) ) ) / 2*1
h = (-9 (±) √
(81 + 448) ) ) / 2
h = (-9 (±) √529) /2
h = (-9 (±) 23)/2
h1 = (-9 + 23) / 2
h1 = 14 / 2
h1 = 7
h2 = (-9 - 23) / 2
h2 = -32 / 2
h2 = -16
The height of the triangle is 7cm and the base is 16cm
