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shutvik [7]
3 years ago
12

The larger of 2 numbers is 23 greater than the smaller. Their sum is 28 less than 3 times the smaller number. Find the numbers

Mathematics
1 answer:
navik [9.2K]3 years ago
7 0

Answer: 62

Step-by-step explanation:

You might be interested in
Find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen ​
Usimov [2.4K]

Answer:

Empirical formula= COOH

Step-by-step explanation:

Molecular mass of the elements

Carbon= 12

Oxygen= 16

Hydrogen= 1

We divide the elements each with their molecular formula

Carbon= 2.4/12

Carbon= 0.2

Oxygen= 6.4/16

Oxygen= 0.4

Hydrogen= 0.2/1

Hydrogen= 0.2

Now we divide with the smallest result which is 0.2

Carbon= 0.2/0.2

Carbon = 1

Oxygen= 0.4/0.2

Oxygen= 2

Hydrogen= 0.2/0.2

Hydrogen= 1

So we have

Carbon 1, oxygen 2, hydrogen 1

Empirical formula= COOH

4 0
3 years ago
What is the value of x?<br><br> Enter your answer, as a decimal, in the box.<br><br> cm
kirza4 [7]

Answer:

50.6 cm

Step-by-step explanation:

We can use similar triangles and proportions to solve.  Put the smaller triangle side over the larger triangle side.

x               46.2-14   (This is the length of the short side of the triangle)

--------- = -------------

72.6            46.2

Using cross products

46.2 *x = (46.2-14)  *72.6

46.2 *x = (32.2)  *72.6

46.2 *x = (32.2)  *72.6

46.2x =2337.72

Divide each side by 46.2

46.2/46.2 *x = 2337.72/46.2

x = 50.6

5 0
3 years ago
Springfield nuclear energy inc bonds are currently trading at 283.30. The bonds have a face value of $1,000, a coupon rate of 2%
vampirchik [111]

<u>Answer:</u>

The yield to maturity of the bonds is 11%

<u>Explanation:</u>

Price at which the bonds is currently trading = 283.30$

Face Value = $1000

Coupon rate = 2%

Hence the coupon bond rate = $1000 ×2%

= 1000\times \frac{2}{100}

=$20

Years to maturity: 20 years

Formula used:  

=\frac{(C+ (\frac{(F-P)}{n}))}{(\frac{(F+P)}{2})}

Where C is the bond coupon rate

F is the face value

P is the price

N is the number of years

=\frac{(20 +(\frac{(1000-283.30)}{20})}{(\frac{(1000+283.30)}{2})}

=11%

The yield to maturity of the bonds is 11%

3 0
3 years ago
A toy that originally sold for 12 dollars went of sale for 8 dollars what was the percent discount? Remember to show your work!
harkovskaia [24]
12———-100%
8 ———— x
X=(8*100)/12=800/12=66.66%
Then discount percent is 100-66.66=33.33%
3 0
2 years ago
Help!!
ioda

We might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

<h3>What is a sequence?</h3>
  • A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms).
  • The length of the series is defined as the number of items (which could be infinite).
  • Unlike a set, the same components can appear numerous times in a sequence at different points, and the order does important.
  • Formally, a sequence can be defined as a function from natural numbers (the sequence's places) to the elements at each point.
  • The concept of a sequence can be expanded to include an indexed family, which is defined as a function from an index set that may or may not contain integers to another set of elements.

Recursive formulas are commonly used to compute the nth term of a sequence, where a(n) is the sum of all the preceding values.

Using its position, explicit formulas can compute a(n).

Therefore, we might choose to write a recursive formula rather than an explicit formula to define a sequence because (D) the sequence is strictly geometric.

Know more about sequences here:

brainly.com/question/6561461

#SPJ4

7 0
2 years ago
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