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Brums [2.3K]
3 years ago
5

Juliet went to the mall to buy clothes for the new school year. Shirts cost $15 and pants cost $40. If Juliet bought 10 items of

clothing for a total of $225, how many shirts and pants did she buy?
Mathematics
2 answers:
nadezda [96]3 years ago
8 0

Answer: The number of shirts he bought = 5 and the number of pants he bought = 5.

Step-by-step explanation:

Let x = Number of shirts

y = Number of pants

As per given , we have the following linear equations :

x+y=10-------------(1)\\\\15x+40y=225-------(2)

Multiply (15) to the equation (1) , we get

15x+15y=150----------------(3)

Eliminate equation (3) from (2) , we get

25y=125\\\\\Rightarrow\ y=\dfrac{125}{25}=5

Put value of y in (1) , we get

x+5=10\\\\\Rightarrow\ x=5

Hence, the number of shirts he bought = 5 and the number of pants he bought = 5.

12345 [234]3 years ago
3 0
7 shirts and 4 pants hope i helped
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The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series
Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

a,ar^1,ar^2,ar^3......

The sum of n terms of a GP is given by :

S_n=\dfrac{a(1-r^n)}{1-r}

Here, n = 6

S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504

So, the sum of the first 6 terms of the series is 504.

4 0
3 years ago
A shipping company uses an inclined conveyor belt to load or unload packages. The dock is 15 feet above ground. The base of the
alexgriva [62]
Hey there! :D

Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base. 

The conveyor belt itself is at a diagonal, and should be the hypotenuse. 

Use the Pythagorean theorem. 

a^2+b^2=c^2

15^2+40^2= c^2 

225+1,600= c^2

Add the values together. 

1,825= c^2

Find the square root of 1,825. 

c= 42.7 (rounded to the nearest tenth) 

The conveyor belt is 42.7 feet long.

I hope this helps!
~kaikers


7 0
3 years ago
Please help me with geometry!<br> Thank you
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The answer to this mathematical question is 3
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2 years ago
X^2+25x-156=0 ayúdenme
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X= -25/2 + 1/2 _/1249
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Please help ASAP
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