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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.

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

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

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Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.

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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

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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.

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Divide the total cost by the number of pencils:

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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.

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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
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$\implies 2x-6=x -1$

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$Required \: rational\: number = \frac{3}{5}$

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2 years ago