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3 years ago

Add. Write your answer in simplest form. 2/15 + 2/15

Mathematics

2 answers:

yarga [219]3 years ago

5 0

Answer:4/15

Step-by-step explanation:2/15+2/15=4/15

murzikaleks [220]3 years ago

4 0

The answer is 4/15 :)

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A cash box contains $74 made up of quarters, half-dollars, and one-dollar

Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

$0.25q+0.50h+1.00d=74$

$\displaystyle{h=\frac{3}{5}d+1}$

$q=4(d+h)$

Then, substitute q in the first equation with the expression from the third equation:

$0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74$

Next, substitute h in that equation with the expression from the second equation:

$\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}$

$2d+0.9d+1.5=74\\2.9d+1.5=74$

Solve for d, the number of one-dollar coins:

$2.9d+1.5=74\\2.9d=72.5\\d=25$

Substitute 25 for d in the second equation to find h, the number of half-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{h=\frac{3}{5}(25)+1}$

$h=15+1\\h=16$

Substitute 25 for d and 16 for h in the third equation to find q, the number of quarters:

$q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164$

Then, verify that the coins total $74:

$0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}$

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

$\displaystyle{h=\frac{3}{5}d+1}$

$\displaystyle{16=\frac{3}{5}(25)+1}$

$16 = 15 + 1\\16 = 16\\\text{Check.}$

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

$q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}$

6 0

3 years ago

Question 1

PilotLPTM [1.2K]

The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term

<h3>How to determine the true statement</h3>

With an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms

This means that,

The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula

Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)

Read more about the Fibonacci sequence at:

brainly.com/question/16934596

8 0

2 years ago

Find the length of the third side. If necessary, round to the nearest tenth

Rufina [12.5K]

Answer:

Step-by-step explanation:

third side is the hypotenuse since it is opposite to 90 degree.

using pythagoras theorem

a^2 + b^2 = c^2

24^2 + 18^2 = c^2

576 + 324 = c^2

900 = c^2

$\sqrt{900}$ = c

30 = c

therefore third side is 30.

4 0

2 years ago

Read 2 more answers

Divide and simplify 9/8 divide 9/7

oksian1 [2.3K]

Answer:

7/8

Step-by-step explanation:

9/8 divide 9/7

Solution :

9/8 ÷ 9/7

= 9/8 x 7/9

= 63/72

= 7/8

3 0

3 years ago

Angel has $10.60 in a jar that contains only quarters and dimes. There are 100 coins in the jar. How many dimes are in angels ja

Allushta [10]

53 dimes are in the jar

hope this helps

3 0

2 years ago