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artcher [175]
3 years ago
7

A man has a collection of dimes and nickels with a total value of $1.70. if he has 8 more dimes than nickels how many of each co

in does he have?
Mathematics
1 answer:
Oxana [17]3 years ago
6 0

Answer:

Step-by-step explanation:

We first have to write an expression for each of the types of coins in terms of one of them.  If he has 8 more dimes than nickels, let's call nickels "x".  That means that dimes is "x + 8".  The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x.  The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8).  The total value of these coins is 1.70:

.05x + .10(x + 8) = 1.70 and

.05x + .10x + .8 = 1.70 and

.15x = .9 so

x = 6

That means we have 6 nickels and 14 dimes.

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Find the zeros of the function.<br> f(x) = 3x2 – 8x – 16
Vlad1618 [11]

Answer:

amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4

Step-by-step explanation:

3x^2-8x-16 ------> (3x+4)(x-4)

3x+4=0 ----> 3x=-4 ----> x=-4/3

x-4=0 ----> x=4

5 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 601 children was taken to study their pur
Lilit [14]

Answer:

The confidence interval is 6.6<μ<6.8.

Step-by-step explanation:

We have:

Number of observations = 601

Mean = 6.7

Standard deviation σ = 1.5

The z-score for a 95% confidence interval is 1.96.

The limits of the confidence interval can be calculated as

X \pm z*\frac{\sigma}{\sqrt{n}}\\\\LL=X-z*\frac{\sigma}{\sqrt{n}}=6.7-1.96*\frac{1.5}{\sqrt{601} } =6.7-0.1199=6.6\\\\UL=X+z*\frac{\sigma}{\sqrt{n}}=6.7+1.96*\frac{1.5}{\sqrt{601} } =6.7+0.1199=6.8

The confidence interval is 6.6<μ<6.8.

7 0
3 years ago
The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on
lutik1710 [3]
Since there are 2 sides to the shelf, there is 0.05*2=0.05+0.05=0.1 meters of space between the shelf and wall in total. Next, since each piece of wood is 0.3 meters wide and we have 3 of them, the total width of the wood is 0.3+0.3+<something>
Note that <width of wood>+<space between shelf and well> =width of closet
I challenge you to finish this on your own - good luck, and feel free to ask with any further questions! 

8 0
3 years ago
7. Which property of polynomials says that the sum of two polynomials is also a polynomial?
vlabodo [156]

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

{x}^{2}  + 2

is a polynomial.

x - 2

is also a polynomial.

The sum of the two polynomials is

{x}^{2}  + 2  + x - 2 =  {x}^{2} + x

The result:

{x}^{2}  + x

is also a polynomial.

4 0
3 years ago
The sum of the first 6 terms of a geometric series is
jekas [21]

Answer:

4

Step-by-step explanation:

The sum to n terms of a geometric sequence is

S_{n} = \frac{a(r^n-1)}{r-1}

where a is the first term and r the common ratio

Here r = 5 and a has to be found, thus

S_{6} = \frac{a(5^6-1)}{5-1}, so

\frac{a(15625-1)}{4} = 15624

Multiply both sides by 4

15624a = 62496 ( divide both sides by 15624

a = 4

7 0
2 years ago
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