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tester [92]
3 years ago
13

600 units of electricity and 100 units of gas were used for a total cost of $388. Next month, 400 units of electricity and 150 u

nits of gas were used for a total cost of $277. Find the cost per unit of gas.
Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

Answer:

Cost per Electricity Unit= $0.61

Cost per Gas Unit= $0.22

Step-by-step explanation:

Suppose,

Cost per Electricity Unit: e

Cost per Gas Unit: g

for the first month condition, equation would be

600*e+100*g=388...........................................(i)

and for the next month condition, equation would be like

400*e+150*g=277...........................................(ii)

By solving both linear equations simultaneously, we get

e=0.61    and     g=0.22

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A square has a perimeter of 52cm , what is the area ?
UNO [17]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The area is 169 square cm.

Find the value of each side (a square has 4 sides so divide by 4 ):

52/4 = 13

To find the area of a square, you only need 2 sides so multiply 2 sides:

13 x 13 = 139

Area = 139 square cm

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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4 0
3 years ago
which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l
victus00 [196]
One equation for this would be

y = \frac{41}{16} x-\frac{55}{8}

We start by finding the slope between the two points:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}

A line parallel to this one will have the same slope.  We will use point-slope form to write our equation:

y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
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6 0
3 years ago
Solve the system of equations y=9x+13 y=2x+48
MakcuM [25]
Both are equal y. So you can set them equal to each other

9x+13=2x+48

Subtract 2x from both sides

7x+13=48
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X=5
7 0
4 years ago
Andy wants to buy a refrigerator for $769, a stove for $359, and a dishwasher for $309. round each cost to the nearest hundred t
Fiesta28 [93]

769 rounded to nearest 100 = 800

359 rounded to nearest 100 = 400

309 rounded to nearest 100 = 300


800 + 400 + 300 = $1,500 estimated total cost



Please mark brainliest

3 0
3 years ago
Does 3 tents multiplied by 100 equal 300 thousands
kobusy [5.1K]
0.3 times 100 = 30

300 thousands = 0.300.

No it does not
3 0
3 years ago
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