Answer:
Equation simplifed= 8x^2-14x-15
Step-by-step explanation:
Answer: the total square footage is
850 ft³
Step-by-step explanation:
The kitchen is 10 feet by 15 feet. This means that the volume of the kitchen would be
10 × 15 = 150 ft³
The living/dining combo is 20 feet by 25 feet. This means that the volume of the living/dining combo would be
20 × 25 = 500 ft³
The office and sunroom are each 10 feet by 10 feet. This means that the volume of the office would be
10 × 10 = 100 ft³
Also, the volume of the sunroom would be
10 × 10 = 100 ft³
Therefore, the total square footage is
150 + 500 + 100 + 100 = 850 ft³
Answer:
Step-by-step explanation:
We first need to define a couple of variables. Let s = the cost of 1 squash and z = the cost of 1 zucchini.
Now lets translate the words into algebra:
"The cost of 5 squash and 2 zucchini is $1.32" ===> 5s + 2z = 1.32
"Three squash and 1 zucchini cost $0.75" ===> 3s + z = 0.75
There are several ways to solve systems of equations. Let's use substitution. We can find what z equals in terms of s by manipulating the second equation:
3s + z = 0.75
-3s -3s
------------ -------------
z = -3s +0.75
Now lets substitute (-3s + 0.75) into the first equation for z, then solve for s:
5s + 2(-3s + 0.75) = 1.32
Can you handle it from here?
(Hint: Once you have solved for s, you can substitute that value back into either of the equations and solve for z.)
Answer: A pot of 2400ml
Step-by-step explanation: Ok, mei has 8 jars, and each jar has 300ml of soup, so the total amount of soup is 8 times 300ml
N = 8*300ml = 2400ml
So the smallest pot that mei can use to heat the soup is a pot that has exactly that volume. 2400ml, (discarding the fact that the volume of the soup will change as it is heated up)
Answer:
Step-by-step explanation:
We have been given that the rectangle has an area of 
square meters and a length of 
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.
Upon substituting our given values in above formula we will get,
Using exponent rule for quotient 
we will get,
Therefore, width of our given rectangle will be 9x meters.
