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inna [77]
2 years ago
8

4/5x + 7= 10 what's the value of x?​

Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

15/4

Step-by-step explanation:

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Write eight ten thousands, five hundreds, two tens, seven ones
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A librarian is expanding some sections of the city library. He buys book at a special price from a dealer who charges one price
stiks02 [169]

Answer:

The special price of 1 hardcover book = $13

The special price of 1 paperback book = $6

Step-by-step explanation:

Here, let us assume the special price of 1 hardcover book = $ m

and the the special price of 1 paperback  book = $ n

Now, the  price of 12 hardcover books  = 12 x ( Price of 1 hardcover)  = 12 m

and  the  price of  73 paperback books  = 73 x ( Price of 1 paperback)  = 73 n

Also, The price paid for  12 hardcover and  73 paperback books is $594

⇒ 12 m +  73  n = 594  .......  (1)

Similarly:

The  price of 11 hardcover books  = 11 x ( Price of 1 hardcover)  = 11 m

The  price of  87 paperback books  = 87 x ( Price of 1 paperback)  = 87 n

Also, The price paid for  11 hardcover and  87 paperback books is $665.

⇒ 11 m +  87  n = 665  .......  (2)

Now, solving both equation for the value of m and n , we get:

12 m +  73  n = 594       x 11          

11 m +  87  n = 665    x   (-12)

we get:  132 m +  803 n =  6534

             - 132 m  - 1044 n = - 7980

adding both equation, we get:

132 m +  803 n   - 132 m  - 1044 n = - 7980 +   6534

or,  - 241  n =  - 1446

or, n = 1446/241 =  6, or n = 6

Now,  Substituting n = 6 in 12 m +  73  n = 594 ,

we get: 12 m +  73 ( 6)  = 594, m =   13

Hence, The special price of 1 hardcover book = $13

and The special price of 1 paperback book = $6

7 0
3 years ago
A 15-ft ladder rests against a vertical wall. If the top of the ladder slides down the wall at a rate of 0.33 ft/sec, how fast,
3241004551 [841]

Answer:

0.44 ft/sec.

Step-by-step explanation:

Let A is the bottom of the ladder and AB is the distance from the bottom of the wall i.e. B is the bottom of the wall. If C is the top of the ladder and BC is the height of the wall.

Now, Δ ABC is a right triangle and AC is the length of the ladder i.e. hypotenuse.

Now, AC² = AB² + BC² {From Pythagoras Theorem}

Now, differentiating both sides with respect to time t, we get

0 = 2 \times (AB) \times \frac{d(AB)}{dt} +  2 \times (BC) \times \frac{d(BC)}{dt}

⇒  \frac{d(AB)}{dt} = - \frac{BC}{AB} \times  \frac{d(BC)}{dt}

Now, given that \frac{d(BC)}{dt} = - 0.33 feet/sec.

Hence, \frac{d(AB)}{dt} = - \frac{BC}{AB} \times  (- 0.33) ......... (1)

Now, given that AB = 9 ft. and AC = 15 ft.

So, 15² = 9² + BC²  

⇒ BC² = 144

⇒ BC = 12 feet.

Now, from equation (1), we get

\frac{d(AB)}{dt} = - \frac{12}{9} \times  (- 0.33) = 0.44

Therefore, the bottom of the ladder is sliding away from the wall at the rate of 0.44 ft/sec. (Answer)

3 0
3 years ago
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