Answer:
c) 4
Step-by-step explanation:
<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>
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To solve this question, we need to write the statement mathematically;
Let the two numbers be x and y
"The sum of two numbers is 14" can be mathematically written as x+y = 14
and
"The larger number minus three times the lesser number is -2" can be mathematically written as x - 3y = -2
x + y = 14 ------------------(1)
x - 3y= -2 -------------------(2)
Subtract equation (2) from equation (1)
[x - x = 0 y - (-3y)=4y 14-(-2)=16]
4y = 16
To get the value of y divide both-side of the equation by 4
4y/4 = 16/4
y = 4
Substitute y=4 into equation (1)
x + y =14
x +4 =14
Subtract 4 from both-side of the equation
x + 4 -4 = 10]-4
x = 10
x=10 and y =4
Therefore the lesser number is 4
Answer:
-15
Step-by-step explanation:
3x+5=BD
4x+20=AE
3x+5 = 4x+20
subtract 3x from 4x = 1x = x
subtract 20 from 5 = -15
-15=x
For the first one you need to do
x+2+x+2+2x+4+2x+4
=6x+12
When doing this kind of problem you should use FOIL
First, Outer, Inner, Last
(x+2)(2x+4)
First- x•2x= 2x^2
Outer- x•4= 4x
Inner- 2•2x= 4x
Last- 2•4= 8
Combined you have
=2x^2+8x+8
For 5 sodas sold, there are 9 teas sold
the ratio is tea: soda, or 9:5
B) 9:5 is your answer
hope this helps
900/45 = 20
so ratio of middle school students and teachers: 900:45 = 20:1
if high school student-teacher ratio as middle school then
x/110 = 20/1
so x = 110 * 20 = 2200
answer is C) 2200
