Answer:
A pound of a JELLY BEANS cost $2.5
A pound of TRAIL MIX cost $1.5
Step-by-step explanation:
From the question, we can draw out two equations and solve them simultaneously.
We should make some mild assumptions to make it easier:
Let Jelly beans be j
Let Trail mix be t
Therefore, we can extract these equations.
5j + 3t =$ 17 ...........i
2j + 12t = $ 23...…..ii
Let's Multiply equation (I) by 4 so that we can easily eliminate.
20j + 12t = $ 68..... iii
Let equation (iii) minus equation (ii)
18j + 0t = $45
18j = $45
j = $45/18
j = $2.5
A pound of a JELLY BEANS cost $2.5
Let's substitute j= $2.5 in EQUATION (I) so as to solve for TRAIL MIX.
5j + 3t =$ 17
5(2.5) + 3t = 17
12.5 + 3t = 17
3t = 17 - 12.5
3t = 4.5
t = $1.5
A pound of TRAIL MIX cost $1.5
Answer:
819 of the animals are dogs.
Step-by-step explanation:
☆We can solve using proportion.
Answer:
h=6 feet
Step-by-step explanation:
Given: 1. The base of a rectangle is three feet longer than its height.
2.Are of the rectangle=54 square meters
Let us say the rectangle has height h and base(breadth) b.
Since, the base of the rectangle is three feet longer than the height, we have b=h+3.
Also, Area of the Rectangle= hb
therefore, 54=h(h+3)
54= h2+ 3h
h2+3h-54=0 (Subtract 54 from both the sides)
To find the value of h we have to solve the quadratic equation.
[We have the equation in the form ax2+bx+c=0, to factorise the equation-
Step1. Find two numbers such that their multiplication is equal to ac and their addition is equal to b.
Step2. Replace b with these numbers.
Step3. Simplify the equation]
So, h2+3h-54=0
h2+9h-6h-54=0
h(h+9)-6(h+9)=0
(h+9)(h-6)=0
Which gives-
h= -9 or h= 6
As h is the height of the rectangle, h can not be -9.
so h=6 feet
and b=h+3=9 feet
So the dimensions of the rectangle are 6 feet for the height and 9 feet for the base.
Answer:
B
Step-by-step explanation:
m=-4
you are subtracting all the numbers by 4 therefore they are all changing by -4
