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SVETLANKA909090 [29]
4 years ago
12

Ariana has $1.40 worth of nickels and dimes. She has twice as many nickels as dimes. Determine the number of nickels and the num

ber of dimes that Ariana has.
Mathematics
1 answer:
navik [9.2K]4 years ago
7 0

Answer:

14 nickels

7 dimes

Step-by-step explanation:

1. find out how many dimes there has to be to get $1.40

1 dime= .10

1.40/.10=14 dimes

14/2=7

so there are 7 dimes

since a nickel is half the amount of a dime there will be twice as many to make up the other half which is $0.70

.70/.05=14

there are 14 nickels

proof:

$0.10(7)+$0.05(14)= $1.40

hope this helps!

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Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech
LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx

where f(x) = d/dx(3*in(x)) = 3/x

substituting for f(x), we have L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx

(since the limit is 2≤ x ≤5)

solving,  L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx

Simplifying this integral, we have

L = 4.10321

8 0
4 years ago
The point (3,0) lies on the graph of P(x)=x^3-7x^2+15x-9. True or False​
swat32

Answer:

True

Step-by-step explanation:

We can plug in and see.

If (3,0) is on the graph of P, then P(3) will evaluate to 0.

Let's try it:

P(3)=(3)^3-7(3)^2+15(3)-9

P(3)=27-7(9)+45-9

P(3)=27-63+45-9

P(3)=-36+45-9

P(3)=9-9

P(3)=0

Since P(3)=0, then (3,0) is an ordered pair of P.

8 0
3 years ago
Which equation is equivalent to the equation 5X+30=45?
nika2105 [10]

Answer:

its probably 45-30=5x

6 0
3 years ago
Help guys, please I needed this answer!
Alla [95]

Answer:

(-3, ∞)

Step-by-step explanation:

Since this is an upward opening parabola, it will expand as it approaches infinity, so the first and second answers are wrong.

We can tell by the graph that the y value of the vertex is at -3, so that means the answer can't be the fourth one.

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3 years ago
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Hydrosphere

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