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Marina86 [1]
2 years ago
13

Victoria has 1.90 worth of nickels and dimes. She has two more nickels than dimes. Write a system of equation that could be used

to determine the number of nickels and the number of dimes that victoria has.
Mathematics
1 answer:
Wittaler [7]2 years ago
8 0

Answer: The system of equations are

0.1x + 0.05y = 1.9

y = x + 2

Step-by-step explanation:

The worth of a dime is 10 cents. Converting to dollars, it becomes

10/100 = $0.1

The worth of a nickel is 5 cents. Converting to dollars, it becomes

5/100 = $0.05

Let x represent the number of dimes that Victoria has.

Let y represent the number of nickels that Victoria has.

Victoria has 1.90 dollars worth of nickels and dimes. The expression would be

0.1x + 0.05y = 1.9

She has two more nickels than dimes. This is expressed as

y = x + 2

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swat32
The answer would be 1017.88 in³. Use the volume for cones ( 1/3 times pi times radius times height) so 1/3*3.14*9*12 in which would be 1017.88 in³ hope it helps!
4 0
2 years ago
Read 2 more answers
Luis has saved $6. he doubles the amount he saves each week.does this represent an exponential function?complete:
Ilya [14]

Answer:

This 6(2)^{n-1} represent an exponential function, because his savings increase by a constant factor of 2.

Step-by-step explanation:

It is given that,

Luis has saved $6 and he doubles the amount each week.

So, the amount saved in the next week = 6×2 = 12

This gives the amount saved in the third week = 12×2 = 24

So, we get the sequence 6, 12, 24, 48,.....

It can be written as, 6×2⁰, 6×2¹, 6×2², 6×2³,.....

So, the sequence in the exponential form 6(2)^{n-1}, where 'n' is a natural number.

Also, 6, 12, 24, 48,.....

The numbers are increasing by the factor = \frac{12}{6}=\frac{24}{12}=....=2

Hence, we get,

This 6(2)^{n-1} represent an exponential function, because his savings increase by a constant factor of 2.

8 0
2 years ago
Solve the inequality. c – 5 ≤ 6
Vilka [71]
Hello There!

Follow through:
c - 5\leq 6
Add 5 to both sides:
c - 5 + 5 ≤ 6 + 5
Simplify:
c ≤ 11

C is smaller than or equal to 11.

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3 0
2 years ago
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28. $400 is divided between Kas, Jaspar and Jae so that Kas has twice
Inga [223]

Let's define our variables before anything else:

Kas = S

Jaspar = R

Jae = E

$400 is divided between Kas, Jaspar and Jae

This means S + R + E = 400

Kas has twice  as much as Jaspar

This means that S = 2R

Jaspar has three times as much as Jae

This means that R = 3E

Because both of our smaller formulas have R, let's replace everything in the first formula with R

S + R + E = 400

plug in values

2R + R + R/3 = 400

multiply everything by 3 to get rid of the denominator

6R + 3R + R = 1200

add

10R = 1200

divide

R = 120

So Jaspar receives $120

3 0
2 years ago
each of the variables a, b, c, d, e and f represents a different positive real number. given the equations below, which variable
slega [8]

Answer:

The greatest value is "e"

Step-by-step explanation:

We have the following equations:

a. 1.31 a = f

b. 1.12b=f

c. 1.01c=f

d. 0.98d=f

e. 0.31e =f

Then solving for "a", "b", "c", "d" and "e" we have:

a. a = f /1.31

b. b=f/1.12

c. c=f /1.01

d. d=f / 0.98

e. e=f / 0.31

Now, given that in all the equations "f" represents the same number, the gratest value it's going to be the option in which "f" is divided by the smaller number.

The option in which f is divided by the less number is option e because, in this case, f is divided by 0.31.

8 0
2 years ago
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