Answer:
The total number of cups of coffee sold are 51 which can be expressed in base 
as 
.
Step-by-step explanation:
Considering the following information
cup = cup
pints = 
cups ∵ pint = cups
quarts = 
cups ∵ quart = 
cups
So, total number of cups will be = 
cups
Converting to the base
Divide by by repeatedly and observe remainder
Read and observe the remainder from top to bottom would yield .
Therefore, the total number of cups of coffee sold are 51 which can be expressed in base as .
<em>Keywords: base 2, number</em>
<em>
Learn more about number bases from brainly.com/question/13725148</em>
<em>
#learnwithBrainly</em>
Answer: The number of doughnuts that Teresa has, y, is 2 times the number of doughnuts Thomas has, x.
Step-by-step explanation: If Teresa had 10 doughnuts, Thomas would have 5, and if Thomas had 10 doughnuts, Teresa would have 20.
Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
A solution for a pair of lines means that they are equal to each other. This occurs when they instersect. Since the lines have the same slope, but are not the same line, they are parallel, so they will never intersect. This means there are zero solutions.
Hope this helps!
the answer to the question is F= -5.37
