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Flauer [41]
3 years ago
7

Katie has a collection of nickels, dimes and quarters with a total value of

Mathematics
1 answer:
garik1379 [7]3 years ago
5 0

10d+ 25q+5n= 805

D= n+8

Q= n+ 5



10d+ 25q+5n= 805

10(n+8)+25(n+5)+5n=805

10n+80+25n+125+5n=805

40n+205=805

40n=805-205

40n= 600

N=600/40

N= 15


D= n+8

D= 15+8

D= 23


Q=n+5

Q=15+5

Q=20


So 15 nickels ,23 dimes and 20quarters .


To check

15(0.05)= $0.75

23(0.10)=$2.30

20(0.25)=$5.00


Add it

5.00+2.30+0.75=8.05

7.30+.75=8.05

8.05=8.05

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Use the diagram to find the measure of each angle. Enter the number only.
Pavlova-9 [17]

9514 1404 393

Answer:

  a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,

  i = 56, j = 124, k = 56

Step-by-step explanation:

Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.

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Working from the top and from the given angles, ...

  h = 60°

  f = g = 180° -h = 120°

  j = 124°

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In summary, measures in degrees are ...

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2 years ago
What is the value for x in 5x+4>24
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Answer:

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3 0
3 years ago
Read 2 more answers
On a single roll of a pair of dice, what are the odds against rolling a sum of 12?
o-na [289]

Answer:

\frac{1}{35}

Step-by-step explanation:

On a single roll of a pair of dice. When a pair of dice are rolled the possible outcomes are as follows:

(1,1)         (1,2)          (1,3)  (1,4)  (1,5)  (1,6)

(2,1)  (2,2)  (2,3)  (2,4)  (2,5)  (2,6)

(3,1)  (3,2)  (3,3)  (3,4)  (3,5)  (3,6)

(4,1)  (4,2)  (4,3)  (4,4)  (4,5)  (4,6)

(5,1)  (5,2)  (5,3)  (5,4)  (5,5)  (5,6)

(6,1)  (6,2)  (6,3)  (6,4)  (6,5)  (6,6)

The number of outcomes that gives us 12 are (6,6). There is only one outcome that gives us sum 12.

Total outcomes = 36

Odd against favor = \frac{non \ favorable\ outcomes}{favorable \ outcomes}

Number of outcomes of getting sum 12 is 1

Number of outcomes of not getting sum 12 is 36-1= 35

odds against rolling a sum of 12= \frac{1}{35}

3 0
3 years ago
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