we are given that the English Aplhabet has 26 letters. we let g represent the number of letters in the Greek alphabet. From the statement given, English alphabet which is 26 = 20 + 1/4 *g. The expression which is similar to this is in option A. 1/4g + 20 = 26.
Answer:
There are 180 marbles in the jar
Step-by-step explanation:
Let x = number of marbles in the jar
x * 25% = number of red marbles
x * .25 = 45
Divide each side by .25
x *.25/.25 = 45/.25
x =180
There are 180 marbles in the jar
Answer:
(2,4)
Step-by-step explanation:
Equation 1:
x+y=6(for the 6 times they scored)
x=-y+6
Equation 2:
7x+3y=26 (for the 7 point touchdowns, and 3 point field goals.)
7(-y+6)+3y=26(replace x with -y+6)
7y+42+3y=26(distrubite property)
-4y+42=26
-4y= -16
y= 4
Now that we know that y is equal to 4:
x+4=6
x=2
Answer:
The area will decrease by 9%.
Step-by-step explanation:
The area of a rectange is given by the formula below.

Let the original length and width of the rectangle be L and W respectively.
Start by finding the original area:
<u>Original </u><u>dimensions</u>
Length= L= 100%L
Width= W= 100%W
Original area= LW
Let's find the dimensions of the new rectangle in terms of L and W.
<u>New dimensions </u>
Length= (100% +30%)L= 130%L
Width= (100%-30%)W= 70%W
New area


= 91% LW
Comparing the new area with the original area:
100% LW- 91% LW= 9% LW
∴ The area will decrease by 9%.
*Note that percentage is equivalent to dividing a number by 100.
Answer:
The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.
Step-by-step explanation:
Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.
Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

Now, solve for b by replacing the value obtained into the first equation

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.