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pav-90 [236]
3 years ago
9

Lianne has some dimes and nickels with a total value of 4.60. The number of times she has is 4 more than 3 times the number of n

ickels. How many nickels does she have ?
Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

Answer:

She has 12 nickels.



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A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
What is the answer the the equation 3(n-4)= -9
Inga [223]

Answer:

i believe the answer is N=1

4 0
3 years ago
Hola pueden ayudar a=6cm b=8cm c?
Alexxandr [17]

Answer:

c=10cm

Step-by-step explanation:

a²+b²=c²

6²+8²=c²

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6 0
2 years ago
1) Find an equation of the line that passes through thr pair of points (-5,-9) and (2,-7).
Yuki888 [10]
1: Assuming this line is linear, the first thing to do is find the slope. 
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y=\frac{2}{7}x-\frac{53}{7}.

2. Use the same process as in question 1 to find:
y=-7x+11


8 0
4 years ago
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