1. When decimal currency came to Australia in 1966 (that's exactly
50 years ago!), there were 6 coins -- 1 cent, 2 cent, 5 cent,
10 cent, 20 cent and 50 cent coins. What is the SMALLEST
number of these coins you would need to make 89 cents?

Answers

Answer 1
To find the smallest amount of coins needed, we start taking the coins with the biggest value until we get to the desired value.

Doing this, we get that the smallest number of coins is: 6

89 cents:

89 is more than 50 cents, but less than 50*2 = 100, so 1 50 cent coin is needed, which leaves 89 - 50 = 39 cents remaining.39 is more than 20 cents, but less than 20*2 = 40, so 1 20 cent coin is needed, which leaves 39 - 20 = 19 cents remaining.19 is more than 10 cents, but less than 10*2 = 20, so 1 10 cent coin is needed, which leaves 19 - 10 = 9 cents remaining.9 is more than 5 cents, but less than 5*2 = 10, so 1 5 cent coin is needed, which leaves 9 - 5 = 4 cents remaining.The remaining 4 cents are achieved with 2 2 cent coins.

Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.

A similar question can be found at https://brainly.com/question/21776594


Related Questions

if 2/5 of the sweets in a bag is 60, how
many sweets would represent 1/3

Answers

Answer:

50 Candy

Step-by-step explanation:

We know that 2/5 of the bag is 60 candy. By taking this information we can conclude that 1/5 of the bag is 30 candy. We know that 1/5 of the bag is 30, so 30 times 5 is 150 candy.

Now that we have found out that there is 150 candy total we can know divde 150 by 3 to find out how much candy is in 1/3 of the bag.

150/3 = 50 Candy

1/3 of the bag represent 50 candy.

PLZ HELP!! ASAP!! IT"S FROM KHAN!! NO FILES!!

Answers

Answer:

The slope is (1/4)

Step-by-step explanation:

Slope is calculated for the points (5,6) and (1,5). Slope is (6-5)/(5-1)=1/4

Answer: m = 10/3

Step-by-step explanation:

(0.3, 1) (0.6, 2)

(2-1)/(0.6-0.3)=

1/0.3 = 10/3

URGENT PLS HELP. Pls put why or why not as well thank you:))

Answers

This is a function since the cost equals the number of nails time the cost of each nail. So that is a function

what is the quotient of 64/-11

Answers

Answer:

-5.82

Possible by long devison and the rule that if there is one negitive then the answer is negitive

QUESTION 2 Write the slope-intercept form of the equation of the line through the gran point micia the grea slope through: (5,-2), siope--1 Oay=-2=6 Oby=-2-3 O cy=-x=3 Ody=-z-6​

Answers

Answer:

y = -x+3

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -1x +b

Using the point for x and y we can calculate b

-2 = -1(5)+b

-2 = -5+b

Add 5 to each side

-2+5 = b

3 = b

y = -x+3

there are unspecified number of cows and hens in a den. if there are total of 30 heads and 80 legs in a den, find the number of cows and hens in a den.​

Answers

Let x be the number of cow.

Number of hens=180-x.

Since cows have 4 legs and hens 2,

So, 4x+2(180-x)=420.

or, 4x+360–2x=420

or, 2x=420–360

or, 2x=60

or,x=30.

So, number of cows is 30.

Step-by-step explanation:

Hope this helps you^_^ Please mark as the brainliest.

What's bigger 3.05kg or 3.56

Answers

Answer:

3.56

Step-by-step explanation:

Brainly wants me to write more but that's the answer

Amber had 56 of a book of postage stamps. She used 26 of the book of postage stamps. Which fraction of the book of postage stamps does Amber have now?

Answers

An Step-by-step explanation: There are 56 stamps in total, and Amber used 26. So, she used 26/56. We need know which fraction has now. so she have 30/56 (becauase 56-26= 30). And by simplify, she have now 15/28 (if you simplify by 2)

Sam feels that students score better on math tests that take place on Fridays. The school provides Sam with the school math test average, but they cannot separate them by date taken. The school is too large for him to ask every student, so he randomly selects a sample of willing students' test scores after the next Friday's math test. He uses the method of hypothesis testing to compare the Friday scores against the true average of all scores. Frame the correct set of hypotheses for his research. Decide where the rejection region will lie.

Answers

Answer:

H0 : μ ≤ x

H1 : μ > x

The hypothesis :

The null hypothesis, H0 : μ ≤ x

The alternative hypothesis, uses the Friday score samples to compare the hypothesis ;

The alternative hypothesis, H1 : μ > 8

For then null, the mean scores is assumed to be the same, and has such mean of Friday's test score takes the value of the population.

Let the population mean value = x

The alternative hypothesis is the claim that the sampled mean gives a greater value than the population mean :

H1 : μ > x

Combine the terms .-5y^2+5-4-4y^2+5y^2-4x^3-1

Answers

Answer:

-4x^3 - 4y^2

Step-by-step explanation:

-5y^2 + 5 - 4 - 4y^2 + 5y^2 - 4x^3 - 1

= -4x^3 -4y^2


2. If (x+1,Y+2)=(3,4), find the value of x and y

Answers

Answer:

x = 2

y = 2

Step-by-step explanation:

since it is an equal pair,

x+1 = 3

or, x = 3 - 1

x = 2

y + 2 = 4

or, y = 4 - 2

y = 2

Which sequence is arithmetic? Check all that apply.
•0, 8, 16, 24
•7, 12, 17, 22
•6, 12, 24, 48
•8, 14, 20, 26
•11, 18, 23, 30
•12, 17, 22, 29
•15, 30, 60, 120

Answers

Answer:

Sequences 1,2, and 4 are arithmetic.

Step-by-step explanation:

Each term in sequence 1 gets added by 8.

Each term in sequence 2 gets added by 5.

Each term in sequence 4 gets added by 6.

A rectangle with a perimeter of 113 units is dilated by a scale factor of 3. Find the
perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if
necessary.

Answers

Answer:

339 units

Step-by-step explanation:

You simply multiply the perimeter of the original rectangle by three to get the perimeter of the new rectangle.

What is the solution to the equation below? Round your answer to two
decimal places.
24•log(3x) = 60
A. x = 105.41
B. x = 316.23
C. x= 316.23
D. x = 224.54

Answers

Answer:

x = 105.41

Step-by-step explanation:

24•log(3x) = 60

Divide by 24

log (3x) = 60/24

log (3x) = 5/2

Raise each side to the power of 10

10 ^ log (3x) = 10^5/2

3x= 10 ^5/2

Divide by 3

3x/3 = 1/3   * 10 ^ 5/2

x = 1/3 (100 sqrt(10))

x=105.40925

To two decimal places

x = 105.41

I need help with #36.

Answers

Answer:

1/81

Step-by-step explanation:

Find the value of the trigonometric ratio.simply the fraction if needed.

Answers

Answer:

Cos A = Adjacent / hypochondrium

Cos A= 9/ 41

URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)

Answers

Answer:

FDG=NMP

Step-by-step explanation:

You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture

simultaneous equation

Answers

Answer:

(55/38,-16/19)

Step-by-step explanation:

4x -5y = 10

2x + 7y = -3

4x -5y = 10

-4x -14y = 6

-19y = 16

y = -16/19

2x  -112/19 = -57/19

x = 55/38

The velocity of a particle moving along a straight line is given by v(t)=6t2+4t−5 cm/sec at time t seconds with initial position s(0)=3 cm. What is the position of the particle at t=2 seconds, in cm?

Answers

Answer:

s(2) = 17 cm

Step-by-step explanation:

We are told that the velocity function is;

v(t) = 6t² + 4t − 5 cm/sec

Integral of velocity gives distance.

Thus;

s(t) = ∫v(t) = ∫6t² + 4t − 5

s(t) = 2t³ + 2t² - 5t + c

We are told that s(0)=3 cm

Thus;

s(0) = 2(0)³ + 2(0)² - 5(0) + c = 3

Thus; c = 3

Thus;

s(t) = 2t³ + 2t² - 5t + 3

At t = 2 secs

s(2) = 2(2)³ + 2(2)² - 5(2) + 3

s(2) = 17 cm

Solve for b.
7
b
12
b= ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
Enter

Answers

Answer: [tex]b=\sqrt{95}[/tex]

Step-by-step explanation:

To solve for b, we want to use the Pythagorean Theorem as given.

b and 7 are the legs, and 12 is the hypotenuse.

[tex]7^2+b^2=12^2[/tex]      [exponent]

[tex]49+b^2=144[/tex]     [subtract both sides by 49]

[tex]b^2=95[/tex]               [square root both sides]

[tex]b=\sqrt{95}[/tex]

Now we know [tex]b=\sqrt{95}[/tex].

find the missing side​

Answers

Answer:

28.3

Step-by-step explanation:

tan = opposite/adjacent

tan (58) = 1,600335

opposite = tan * adjacent  

opposite = 1,600335 * 15 = 24,005018

For the Pytagorean theorem

x = √24,005018^2 + 15^2 = 28,306199 = 28.3

.help me with the question of math
No link​

Answers

Answer:

I doubt it is not going to be a great

Step-by-step explanation:

the same time as a child support of the year old girl I don't know what you think about it is not going to

Answer: 7,8
u get that by multiplying both sides and funding a variable

4.
Which point is NOT part of the solution of the inequality y < (3x + 1?
(-4, 12)
(0,0)
(2, -9)
(3, 15)

Answers

Answer: The non solutions of the inequality are A and D.

Step-by-step explanation:

Which ordered pair would form a proportional relationship with the point graphed below?

On a coordinate plane, point (60, negative 20) is plotted.
(–10, 30)
(30, –15)
(–30, 10)
(80, –30)

Answers

Answer: its not b or d that leaves a and c its

                                       A                                        A

Answer:

it might be c its def not a for i got it wrong when i chose a

Step-by-step explanation:

dont get mad if im wrong i.d.k if i am right or wrong so im gonna say c?

What is the volume of the cone? Round to the nearest cubic cm.

Answers

Answer:

the answer will be

184.31

hi, please solve these three questions for me, i have to shoe solving steps.​

Answers

question 3

Step-by-step explanation:

i only able to show you the step of question 3..so sorry

a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many does doe he school have​

Answers

Given :

a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?

Solution :

Let the number of boys be x

Data :

Total pupils = 2500

Absent no. of boys and girls = 52 and 1/9

Now,

First of all we need to get the number of girls then add it with the no. of boys absent and then subtract the whole from 2500 to get the required answer.

Remaining no of pupils = 2500 - 52 ➝ 2448

Hence, the no. of girls absent = 1/9 of 2448 ➝ 272

Therefore,

Total no. of pupils absent = 52 + 272 ➝ 324

No. of pupils present = 2500 - 324 ➝ 2176

Henceforth, 2176 pupils are present

Did I do this right? I really don’t want to fail lol

Answers

Answer:

i think yes!!!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Yes, you did this correctly.

By subtracting the volume of the cylinder from the volume of the rectangular solid, you accurately acquired the volume of the remaining figure.

And yes, your calculations are correct.

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

x^2-y^2+z^2-2xz+2y-1

Answers

Answer: [tex]\Large \boldsymbol{} (x-y-z+1)(x+y-z-1)[/tex]

Step-by-step explanation:

[tex]\Large \boldsymbol{} 1) \ {(a-b)^2=a^2+2ab+b^2 } \\\\2) \ {a^2-b^2=(a-b)(a+b)} \\\\\\ x^2-y^2+z^2-2xz+2y-1= \\\\\underbrace{x^2-2xz+z^2}_{(x-z)^2} -\underbrace{(y^2-2y+1)}_{(y-1)^2}= \\\\\\ (x-z)^2-(y-1)^2 =(x-y-z+1)(x+y-z-1)[/tex]

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