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exis [7]
3 years ago
6

Joel needs to buy some blank DVDS and zip disks to back up a large amount of data that has been generated by an accounting firm.

He buys 6 DVDS and 3 zip disks for $96. He later realised these are not sufficient and so guys another 5 DVDS and 4 zip disks for $116. How much did each DVD and each Zip disk cost? (Assume the rate per item was changed for each visit). Show working.
Mathematics
1 answer:
wlad13 [49]3 years ago
4 0

Answer:

D = 4, Z = 24

Step-by-step explanation:

6D+3Z = 96

5D+4Z = 116

multiply top by 5 and bottom by -6

top equation = 30D+15Z = 480

bottom equation = -30D-24Z = -696

Cancel 30D and -30 D

top equation  = 15Z = 480

Bottom equation = -24Z = -696

15Z - 24 Z = 480 - 696

-9Z = 216

Z = 216/9

Z = 24

Now that we have the value of Z, we can substitute it in any equation to find D

6D + 3(24) = 96

6D + 72 = 96

6D = 96 - 72

6D = 24

D = 24/6

D = 4

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Find the probability for the given situations, and then match the situations with the number of times each event is predicted to
Ulleksa [173]

Answer:

(a)3

(b)4

(c)6

(d)5

Step-by-step explanation:

(a)Josie rolls a six-sided die 18 times.

P(she rolls a two)=1/6

Therefore, the estimated number of times she rolls a two in 18 trials

=1/6 X 18

=3

(b)Slips of paper are numbered 1 through 10.

P(the number 10 appear)=1/10

If one slip is drawn and replaced 40 times, expected number of 10

=1/10 X 40

=4

(c)A spinner consists of 10 equal- sized spaces: 2 red, 3 black, and 5 white.

P(red)=2/10

If the spinner is spun 30 times, expected number of red space

=2/10 X 30

=6

(d)A card is picked from a standard deck

P(drawing an ace)=4/52

If the card is picked 65 times and replaced each time.

Expected Number of Aces =4/52 X 65 =5

8 0
3 years ago
HELP URGENT I WILL GIVE 20 POINTS
Lunna [17]

h = 9.2 cm

Solution:

Base of smaller triangle = 5 cm

Height of smaller triangle = 2.3 cm

Base of larger triangle = 15 cm + 5 cm = 20 cm

Height of larger triangle = h

$\frac{2.3}{5}=\frac{h}{15+5}

$\frac{2.3}{5}=\frac{h}{20}

Multiply by 20 on both sides.

$20 \times \frac{2.3}{5}=\frac{h}{20} \times 20

$\frac{46}{5}=h

9.2 = h

So that Ryan should have add 15 and 5 to get a denominator of 20 on the right sides of the first line. Doing so gives the correct value, h = 9.2 cm.

8 0
3 years ago
What is the measure of NRS?
never [62]

Answer:

<h3>C. 113°</h3>

Step-by-step explanation:

(7x - 1) + 79° = 21x + 8

• An exterior angle of a triangle is equal to the sum of its two interior opposite angles.

(7x - 1) +79  = 21x + 8 \\ 7x - 1 + 79 = 21x + 8 \\ 7x +  78 = 21x + 8 \\ 78 - 8 = 21x - 7x \\ 70 = 14x \\  \frac{70}{14}  = x \\ 5 = x \\

NRS = 21x + 8

21x + 8 \\ 21(5) + 8 \\ 105 + 8 \\  {113}^{o}

6 0
2 years ago
Elena gives the following sequence of transformations to show that the two figures are similar by transforming ABCD into EFGD.
otez555 [7]

Answer:

bruh

Step-by-step explanation:

7 0
3 years ago
Elena randomly chooses a number from 1 to 10. What is the probability she chooses a number greater than 5?
Pepsi [2]

Answer:

The probability that she chooses a number greater than 5 is 5 of 10.

Step-by-step explanation:

The probability that she chooses a number greater than 5 is 5 of 10 because there are only 5 numbers that are greater than 5 and up to 10.

7 0
3 years ago
Read 2 more answers
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