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horsena [70]
3 years ago
7

Tony has 110 cents in nickels, dimes and pennies. He has 3 more nickels than dimes and 4 times as many pennies as dimes. How man

y of each kind of coin does Tony have?
Mathematics
1 answer:
marishachu [46]3 years ago
4 0

Answer:

Step-by-step explanation:

let number of dimes=x

nickels=x+3

pennies=4x

10 (x)+5(x+3)+4x=110

10 x +5x+15+4x=110

19x=110-15=95

x=95/19=5

dimes=5

nickels=5+3=8

pennies=4*5=20

You might be interested in
Can the sides of a triangle have lengths 2, 10, and 11?<br> yes<br> no
madreJ [45]

Answer:

Yes

Step-by-step explanation:

Triangle inequality theorem states that a triangle can exist if

a + b > c; a + c > b; b + c > a

a = 2; b = 10; c = 11

2 + 10 = 12; 12 > 11.

2 + 11 = 13; 13 > 10.

10 + 11 = 21; 21 > 2.

4 0
2 years ago
You don't need to construct a Venn Diagram, it is just part of the instruction. Just determine whether or not the argument is va
icang [17]

Answer:

It is valid.

Venn Diagram is attached.

I also provided a truth table.

I also provided a couple of names this argument could be called.

Please let me know if you have any questions about this question.

Thank you kindly.

Step-by-step explanation:

If a person is a poet, then that person is a loner.

If a person is a loner, then that person is a taxi driver.

If a person is a poet, then that person is a taxi drive.

This is in the form:

p->q

q->r

Therefore, p->r.

This is an example of a hypothetical syllogism.

The first thing my mind goes to when seeing this is the transitive property which says if A is related to B and B is related to C then A is related to C.

So this syllogism also has another name and it is called the principle of transitivity of implication.

Let p=person is a poet, q=person is a loner, and r=person is a taxi driver.

I'm going to make a truth table and compare the truth values of the propositions to the conclusion.

Since we have 3 variables, we are going to need 2^3=8 rows.

p     q       r        p->q    q->r      (p->q) and (q->r)        conclusion=(p->r)

T      T     T           T         T                     T                               T

T      T     F           T         F                    F                                 F

T      F     T           F         T                     F                               T  

T      F     F           F         T                     F                                F

F      F     F           T         T                    T                                 T

F      F     T           T         T                    T                                 T

F     T     F            T         F                    F                                 T

F    T     T             T         T                    T                                 T

So we are trying to see if we ever have the preposition part true and the conclusion false.

That doesn't happen so the argument is valid.

5 0
3 years ago
0.2, 0.19,3/5 greatest to least
nasty-shy [4]
3/5=0.6

3/5, 0.2, 0.19
7 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csf%20%5Csqrt%7B12%7D%20%5Ctimes%20%5Csqrt%7B12%7D" id="TexFormula1" title="\sf \sqrt{12} \t
Darina [25.2K]

Answer:

12

Step-by-step explanation:

\sqrt{12} \times\sqrt{12}

\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{a}=a,\:\quad \:a\ge 0

\sqrt{12}\sqrt{12}=12

=12

7 0
2 years ago
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 89 feet from a building an
Anna007 [38]
The distance to the top of the building above the range finder can be found from the Pythagorean theorem.
.. d = √(115² -89²) ≈ 72.8 . . . . feet

Adding the height of the range finder, we find the height of the building to be
.. h = d+3 = 75.8 ft
8 0
3 years ago
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