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slega [8]
3 years ago
11

Help please and thank you

Mathematics
1 answer:
aksik [14]3 years ago
5 0
Remember
(a^b)^c=a^{bc}
and
\frac{x^a}{x^b}=x^{a-b}


so

\frac{(7^2)^5}{7^{-6}}=
\frac{7^{2*5}}{7^{-6}}=
\frac{7^{10}}{7^{-6}}=
7^{10-(-6)}=
7^{10+6}=
7^{16}

the answer is D
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The sum of two numbers is 87. if three times the smaller number is subtracted from the larger number the result is seven. find t
Stolb23 [73]
\left \{ {{a+b=87} \atop {a-3b=7}} \right.



a-3b=7
a=7+3b

a+b=87
(7+3b)+b=87
7+4b=87
4b=87-7
4b=80
b=20

a=7+3b
a=7+3*20
a=7+60
a=67
5 0
3 years ago
The equation below describes a proportional relationship between x and y. What is the constant of​ proportionality?
serg [7]

Answer:

k=2/5

Step-by-step explanation:

It is the ratio of the amounts y and x:  

k = y/x

Put another way: y = kx

3 0
3 years ago
Solve for X please help
QveST [7]

Answer:

<em>-</em><em>1</em>

Step-by-step explanation:

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3 0
3 years ago
DOES ANYONE KNOW THIS I REALLY NEED HELP ON THIS!!!
Ainat [17]

Answer: $ 3  

Step-by-step explanation:

Here, the given inequality,

15 ( 17 + y ) ≤ 300

Where, 15 is the total number of person,

17 is the price of each shirt

300 is the given budget for purchasing

And, y is the rice of each pair of socks.

Thus, the maximum price of a pair of socks will be get by solving the above inequality,

15 ( 17 + y ) ≤ 300

⇒ 15 × 17 + 15 y ≤ 300

⇒ 255 + 15 y ≤ 300

⇒ 15 y ≤ 300 - 255   (by subtracting 255 n both sides)

⇒ 15 y ≤ 45

⇒ y ≤ 3    (dividing both sides by 15)

Thus, the maximum value of y is 3.

⇒ $ 3 could be spent on each pair of socks if the shirt of price $17 is bought.


6 0
3 years ago
The perimeter of a rectangle is 50 cm. The length is 5 cm more than its breadth Find the length and breadth of the rectangle.
Pie

Answer:

Breadth = 10 cm

Length =  15 cm

Step-by-step explanation:

Let the breadth = x  cm

Length = (x + 5) cm

Perimeter of a rectangle = 50 cm

2 *( length + breadth) = 50

2*(x + 5 + x) = 50

Combine like terms

2*(2x + 5) = 50

2*2x + 2*5 = 50

4x + 10 = 50

Subtract 10 from both sides

4x = 50 - 10

4x = 40

Divide both sides by 4

x = 40/4

x = 10

Breadth = x = 10 cm

Length = x +5 =  10 + 5 = 15 cm

8 0
3 years ago
Read 2 more answers
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