Step-by-step explanation:
The formula is<em> y=mx+b</em>, with <em>m</em> representing the slope, <em>x</em> representing the <em>x </em>coordinate, and<em> b</em> representing the y-intercept. Since -⅓ is the slope, that means that the equation starts off as y=-⅓. We know that the y-intercept is where the line meets the y-axis, so the y-intercept is 9. Since 9 (the y-intercept) is being added, that means the equation is y=-⅓+9.
Answer:
y=-⅓+9
Answer D, because 3•6+6 does not equal 18.
Answer:
£159
Step-by-step explanation:
Charles buys 30 packs of pens.
There are 15 pens in each pack.
Each pack costs £2.80.
Charles sells each pen for 90p but he only manages to sell 3/5 of the pens.
How much profit did he make?
Step 1
Charles buys 30 packs of pens.
There are 15 pens in each pack.
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
Each pack costs £2.80
Hence:
1 pack = £2.80
30 packs = x
Cross Multiply
x = 30 × £2.80
x = £84
Step 2
The total number of pens in the pack is
30 packs × 15 pens
= 450 pens
He only manages to sell 3/5 of the pens
The amount of pens Charlie sells =
3/5 × 450 pens
= 270 pens
Charles sells each pen for 90p
100p = £1
90p = x
Cross Multiply
100 × x = 90 × £1
x = 90/100
x = £0.9
The amount he sells each pen =
1 pen = £0.9
270 pens = x
Cross Multiply
x = 270 pens × £0.9
x = £243
Step 3
The profit that he made is calculated as:
£243 - £84
= £159
Answer:
1.03
Step-by-step explanation:
Per capita just means per unit of population, or per person. This question is asking how many cell phones there were in the United States per person in 2014. We can use simple division to determine that the answer is 327.6/317.9 or about 1.03 when rounded to the nearest hundredth.
Answer:
In geometry, a branch of mathematics, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Answered by GAUTHMATH