The true statements are;
- fourteen eleventh graders prefer math and eight tenth graders prefer english.
- twenty-three ninth graders and thirty-five twelfth graders prefer math.
<h3>What is a survey?</h3>
In a survey, the opinions of the subjects are sought and these responses are recorded for the purpose of use in the process of decision making.
In this, case, we can see from the table that;
- fourteen eleventh graders prefer math and eight tenth graders prefer english.
- twenty-three ninth graders and thirty-five twelfth graders prefer math.
Learn more about survey:brainly.com/question/3944932
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Answer:
x = 76
Step-by-step explanation:
The angles are same side interior angles and same side interior angles are supplementary, which means they add to 180
x+104 = 180
Subtract 104 from each side
x+104-104 = 180-104
x =76
Let x be the cost of 1 pen
then cost of 1 notebook = x + 8.20
Let y be the number of pens Tan buys
then number of notebooks Tan buys = y/4
She spent $26 more on books than on pens which means
Cost of notebooks - Cost of pens = 26
(x + 8.20) * y/4 - xy = 26
Sinplifying it
(xy + 8.20y)/4 - xy = 26
(xy + 8.20y - 4xy)/4 = 26
8.20y - 3xy = 104
She spent $394 which means
Cost of notebooks + Cost of pens = 394
(x + 8.20) * y/4 + xy = 394
Simplifying it
(xy + 8.20y)/4 + xy = 394
(xy + 8.20y + 4xy)/4 = 394
8.20y + 5xy = 1576
Now, we have two equations,
(1) 8.20y - 3xy = 104
(2) 8.20y + 5xy = 1576
Now we need to find a third equation with either x or y as the subject of any of both the previous equations.
Let's make y the subject of (2) equation
8.20y + 5xy = 1576
y(8.20 + 5X) = 1576
(3) y = 1576/(8.20 + 5x)
Let's substitute the new value of y from (3) into (1) because we rearranged (2) to from (3)
8.20y - 3xy = 104
y(8.20 - 3x) = 104
y = 104/(8.20 - 3x)
1576/(8.20 + 5x) = 104/(8.20 - 3x)
1576 * (8.20 - 3x) = 104 * (8.20 + 5x)
12923.2 - 4728x = 852.8 + 520x
12923.2 - 852.8 = 4728x + 520x
12070.4 = 5248x
12070.4/5248 = x
x = 2.3
Now find the value of y by substituting the value of x in either equation, preferably (3)
y = 1576/(8.20 + 5x)
y = 1576/(8.20 + 5 * (2.3))
y = 80
Therefore cost of 1 notebook = x + 8.20 = 2.3 + 8.20 = $10.50
Answer:
T-6=X
Step-by-step explanation:
Tracey = T
X = Awnser
If we are subtracting six from Tracey's age, you would subtract six from T
since we don't know Tracey's age, it is represented by T.
Hope this Helps!
The 20% statement is useless
80% of $295 is what?
80%×295=??
.80 × 295 = $236.00 in savings
