Answer:
the consecutive integars is 11,12,13,14,15
Step-by-step explanation:
- let the first integar be described as y
- since they are consecutive ( following each other)
- the second will y + 1
- the third is y + 2
- the fourth is y + 3
- the fifth y + 4
then it says the sum of the first and 4 times the third = 60 less than 3 times the sum of the second, fourth and fifth
60 less than 3 times the sum of the second, fourth and fifth means that 3 times the sum of the second, fourth and fifth minus 60
y+ 4(y+2) = 3{ (y +1) +(y+3) + (y+4)} -60
y + 4y + 8 =3[ y +1 + y + 3 +y+4} - 60
5y +8=3(y+y+y+1+3+4)-60
5y+8=3(3y+8)-60
- simplify and open the brackets
5y+8=9y+24-60
5y+8=9y-36
- subtract 8 from both sides
5y+8-8=9y-36-8
5y=9y-44
- subtact 9y from both sides
5y-9y=9y-9y-44
-4y=-44
- divide -4 from both sides
-4y/-4=-44/-4 ( minus divided by minus is plus
y = 11
- the first integar is y = 11
- the second will y + 1 = 11+1 = 12
- the third is y + 2 = 11 +2 = 13
- the fourth is y + 3 = 11 + 3 = 14
- the fifth y + 4 = 11 + 4 = 15
- the consecutive integars is 11,12,13,14,15
yes the number is is proportional . 3$ a rose in sets of 3 and up . that give you a price for 15 at 45 $ so the cost of 30 Rose's would be 90$.
Answer:
1. there are three terms -20, 5p, and -7z and the coefficients are p and z
so 2. 8x, -20y, -10 and the coefficients are x and y
5. it represents the total cost of cucumbers and apples.
Step-by-step explanation:
terms are separated by plus or minus signs and coefficients are variable next to the numbers.
Answer:
D. The plumber charges a flat rate of $75.
Step-by-step explanation:
The vertical intercept is the point where the data intersects the vertical axis. The vertical axis will be the dependent variable, and the horizontal axis will be the independent variable.
In this situation, the total cost depends on how many hours the plumber works; this means that the total cost is the dependent variable, going on the vertical axis, and the number of hours is the independent variable, going on the horizontal axis.
The vertical intercept, since it is on the vertical axis, will be where the horizontal axis is 0. In this situation, this means the cost when the plumber has been there 0 hours; this is the flat-rate fee he charges, $75.