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3 years ago

How do I solve the equation 14x+5=105?

Mathematics

1 answer:

tigry1 [53]3 years ago

5 0

Answer:

14x+5=105

14x=105-5

14x=100

x=7.14285714286

Step-by-step explanation:

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If you sleep for 9 h one night, what fractional part of a day did you spend sleeping?

Angelina_Jolie [31]

Answer:

3/8 of the day

Step-by-step explanation:

A day is 24 hours

You spend 9 of them sleeping

The fraction you spend sleeping is

9/24

You can simplify the fraction by dividing the top and bottom by 3

9/3 = 3

24/3 = 8

3/8

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3 years ago

Pablo borrowed $900 from a credit union for 3years and was charged simple interest at a rate of 3%. What is the amount of intere

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3 years ago

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You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw

VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend, total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

$x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)$

from (i), $x=84-4y-2z$ (*)

put this in (ii) and (iii) we get

$2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)$

from (iv), $y=-\frac{z-92}{7}\ (vi)$

$\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)$

$-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8$

$\mathrm{Subsititute\:}z=8\text{ in (vi)}$

$y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12$

$\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}$

$x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20$

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

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3 years ago

Write 2x + y = 17 in slope-intercept form. <br><br> Plz help me out here

Tatiana [17]

Answer:

y=-2x+17

Step-by-step explanation:

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2 years ago

The radar system beeps once every second. How many times will it beep in 3 days?

Colt1911 [192]

Answer:

259200

Step-by-step explanation:

so there are 86400 in one day. multiply by 3.

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3 years ago

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