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Alex Ar [27]
3 years ago
6

Robby has 9 coins that total $2.15. if he only has nickels and dimes, write the system of equations.

Mathematics
1 answer:
Illusion [34]3 years ago
3 0

Let's assume

number of nickels =n

number of dimes =d

we are given

total number of coins =9

so, we get

n+d=9

we know that

1 nickel =$ 0.05

and

1 dimes =$0.10

so, total amount is

=0.05\times n +0.10\times d

we are given

total amount =$2.15

so, we get

0.05n +0.10d=2.15

so, we get system of equations as

n+d=9

0.05n +0.10d=2.15................Answer

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4 years ago
Given: △ABC, E∈ AB m∠ABC=m∠ACE AB=34, AC=20 Find: AE
LenaWriter [7]

Answer:

AE = 11.76 units

Step-by-step explanation:

For better understanding of the solution, see the attached figure :

Given : E ∈ AB, m∠ABC = m∠ACE, AB = 34 and AC = 20

To find AE :

In ΔABC and ΔACE,

m∠ABC = m∠ACE ( Given )

∠A = ∠A    ( Common angle for both the triangles )

By AA postulate of similarity of triangles, ΔABC ~ ΔACE

So, proportion of the corresponding will be equal.

\implies \frac{AC}{AB}=\frac{CE}{BC}=\frac{AE}{AC}\\\\\implies\frac{AC}{AB}=\frac{AE}{AC}\\\\\implies\frac{20}{34}=\frac{AE}{20}\\\\\implies AE=\frac{20\times 20}{34}\approx 11.76

Hence, AE = 11.76 units

4 0
3 years ago
What are the next three terms of the geometric sequence 4, 24, 144, . . . ?
alexgriva [62]
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4 0
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Step-by-step explanation:

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