Answer:
x = -1.32
Step-by-step explanation:
I expect '--' means equals to '=' in your question
4(10x+6)--10(9x+9)
4(10x+6)=10(9x+9)
40x +24 = 90x +90
40x - 90x = 90 - 24
-50x = 66
x = -66/50
x = -1.32
Answer:
29
Step-by-step explanation:
Let's set up an equation...
25%*116=x
We can first convert 25% to a fraction. We can convert any percentage into a fraction by simply putting the number over 100...
We can simplify 25/100 by dividing the fraction by 25/25. Note we can only do this because 25/25 is equivalent to 1, therefore meaning we are dividing the fraction by 1.
Answer:
3 3/5 minutes
Step-by-step explanation:
Let one measure of volume be 5/9 of a tank, or (5/9)(tank).
We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.
Write and solve an equation of ratios:
(5/9) (tank) 2 minutes
------------------- = ----------------
(9/9) (tank) x
Solve for x, which represents the number of minutes required to fill the whole tank:
(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3 3/5 minutes)
The whole tank will be filled in 3 3/5 minutes.
The second store offered the better buy at the price of $92.00.
What is better buy?
Better buy refers to the lowest price out of the prices offered by the three stores.
In order to determine the lowest price, the no discount price of the first store needs to be compared to the prices of two other stores, bearing that after-discount price is the pre-discount price multiplied by 1 minus the discount rate.
First store price=$95.00
Second store after-discount price=pre-tax discount price*(1-discount rate)
pre-discount price=$115
discount rate=20%
Second store after-discount price=$115*(1-20%)
Second store after-discount price=$92.00
Third store after-discount price=pre-tax discount price*(1-discount rate)
pre-discount price=$105
discount rate=10%
Third store after-discount price=$105*(1-10%)
Third store after-discount price=$94.50
Find out more about discounted price on:brainly.com/question/1153322
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Answer:
The dimensions are 6 by 5 feet.
Length = 6 feet.
Width = 5 feet.
Step-by-step explanation:
Let the length = L
Let the width = W
Perimeter of a rectangle = 2L + 2W
Translating the word problem into an algebraic equation, we have;
L = 2W - 4 ........equation 1
22 = 2L + 2W .......equation 2
Substituting the value of "L" into equation 2, we have;
22 = 2(2W - 4) + 2W
22 = 4W - 8 + 2W
22 + 8 = 6W
30 = 6W
W = 30/6
Width, W = 5 feet.
To find the length, L
Substituting the value of "W" into equation 1, we have;
L = 2W - 4
L = 2(5) - 4
L = 10-4
Length, L =6 feet
Therefore, the dimensions of the garden are 6 by 5 feet.
