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Nonamiya [84]
3 years ago
5

Find the solution of​

Mathematics
1 answer:
Elina [12.6K]3 years ago
8 0

Answer:

f = - 324

Step-by-step explanation:

Given

\frac{f}{2} = - 162

Multiply both sides by 2 to clear the fraction

f = 2 × - 162 = - 324

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Manny can paint the office​ by himself in 5 hours. Dave can do the same job in 8 hours. How long will it take them to do it work
Alex Ar [27]

Answer:

3 hrs 4.6 mins

Step-by-step explanation:

1/5 + 1/8 = 1/x

x = 40/13

3 0
2 years ago
You own a motel and have a pricing structure that encourages rentals of rooms in groups.
zheka24 [161]

Answer:

$41

Step-by-step explanation:

  • One room rents for $68,
  • Two rooms for $65 each,
  • In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.

So,

a_1=\$68\\ \\a_2=\$65\\ \\a_3=\$62\\ \\...

where a_n is the rate per nth room rented.

This is an arithmetic sequence, so

a_n=a_1+(n-1)\cdot d

In your case,

a_1=68\\ \\n=10\\ \\d=-3

Hence

a_{10}=68+(10-1)\cdot (-3)=68-9\cdot 3=68-27=41

This means if a group rents 10 rooms, the charge per room is $41.

5 0
3 years ago
Describe the features of x ≥ (y – 3)2 – 2? Check all that apply.
vitfil [10]

Answer:

B and E

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
11. Write the balanced equation for the reaction of HC2H3O2, with Al(OH)3 to form H2O and Al(C2H302)3:
Kamila [148]

Answer:

74.36 g of aluminium acetate.

730.27g of aluminium acetate.

- to the nearest hundredth.

Step-by-step explanation:

Acetic acid is usually written as CH3COOH.

a. 6CH3COOH + Al(OH)3 ---> Al(CH3COO)3 + 9H2O

So 6 moles of acetic acid produce 1 mole of aluminium acetate.

Using the molecular masses

6*( 1.008*4 + 12.011*2 + 16 *2) g acetic acid gives (26.98+3(36.032+ 2*12.011)

348.228 g acetic acid gives 207.142 g Al acetate.

So 125 g gives (207.142 / 348.228) * 125

= 74.36 g of aluminium acetate.

b.

(26.98 + 3*16 + 3 * 1.008) g  of Al(OH)3 gives 207.142 g Al acetate

78.004 g gives 207.142 g Al acetate

275 g gives   (207.142 / 78.004) * 275

= 730.27g Al acetate.

7 0
4 years ago
Find the value of n .<br> 6/n = 24/28<br> y = ___.
il63 [147K]

Answer:

n=7

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7

Plug back in to check.

\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857

5 0
4 years ago
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