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s2008m [1.1K]
3 years ago
7

Mrs Naidu bought $155 in groceries. she paid her bill with $5 and $20 notes using a total of 13 notes. calculate how many of eac

h type of each type of note were used.
Mathematics
1 answer:
andriy [413]3 years ago
5 0

Answer:

6 x £20 notes, 7 x £5 notes

Step-by-step explanation:

6 x £20 = £120

7 x £5    = £35

£130 + £35 = £155

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The rate at which an assembly line workers efficiency E (expressed as a percent) changes with respect to time t is given by E'(t
zavuch27 [327]

By the fundamental theorem of calculus,

E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du

So we have

E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du

E(t)=92+(75u-3u^2)\bigg|_1^t

E(t)=20 + 75 t - 3 t^2

4 0
3 years ago
Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.
Neporo4naja [7]

Answer:

y= -3x-16

Step-by-step explanation:

slope intercept form is written as y=mx+b.  m is the slope, and b is the y-intercept.  -3=m

we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15.  subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).  

3 0
3 years ago
What is the first step in finding the unit price on a box of 20 pencils?
olga55 [171]

You would need to know the cost of the box of 20, then you would divide the total cost by the number of pencils in the box. This would give you the cost of one pencil - which is the unit cost.


Example:

Lets say the box of 20 pencils cost $10.


Divide the total cost by the number of pencils:

10 / 20 = 0.50 - This means each pencil cost 50 cents, so the unit cost would be 50 cents per pencil.

7 0
3 years ago
The table shows the distance Allison drove on one day of her vacation. Is the relationship between the distance and the time a p
Anuta_ua [19.1K]

Answer:

we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

Step-by-step explanation:

We know that when 'y' varies directly with 'x', we get the equation

y ∝ x

y = kx

k = y/x

where 'k' is called the constant of proportionality.

In our case, the table shows the distance Allison drove on one day of her vacation.

Time (h)              1         2        3          4        5

Distance (mi)       55    100     165     280    250

using the equation

k = y/x

susbtitute y = 55, x = 1

k = 55/1 = 55

substitute y = 100, x = 2

k = y/x

k = 100 / 2 = 50

substitute y = 165, x = 3

k = y/x

k = 165 / 3 = 55

substitute y = 280, x = 4

k = y/x

k = 280 / 4 = 70

substitute y = 250, x = 5

k = y/x

k = 250 / 5 = 50

It is clear that the value of 'k' does not remain constant.

Therefore, we conclude that the relationship between distance and time is NOT proportional.

Hence, she did not drive at a constant speed.

6 0
3 years ago
If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t
xenn [34]

Answer:

\frac{3}{5}

Step-by-step explanation:

  • Let the denominator be x
  • So, numerator = x - 2
  • According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is \frac{1}{2}

  • \implies \frac{x-2-1}{x-1}=\frac{1}{2}

  • \implies \frac{x-3}{x-1}=\frac{1}{2}

  • \implies 2(x-3)=x -1

  • \implies 2x-6=x -1

  • \implies 2x-x=6-1

  • \implies x=5

  • \implies x-2=-5-2= 3

  • Required \: rational\: number = \frac{3}{5}
6 0
2 years ago
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