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pogonyaev
3 years ago
7

Solve the equation -7 (8a - 9 = - 23 + 4a

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

a = 43 / 30

Step-by-step explanation:

-7 ( 8a -9 ) = -23 + 4a

-56a + 63 = -23 +4a

-60a + 63 = -23

-60a = -86

a = 43 / 30

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Given that sin 2x = cos(2x - 30). Find the value of tan x.​
Paul [167]

Answer:

x=30o+n90on∈Z

Step-by-step explanation:

cos2x=sin(90o−2x)=sin(2x−30o)

Which mean 90o−2x=2x−30o+n360o

or 90o−2x+2x−30o=(2n+1)180o

The later cannot be true.

so x=30o+n90on∈Z

4 0
3 years ago
Read 2 more answers
Help please i really really really need it.....
ruslelena [56]

A)

s = sweater

j = jeans

Equations:

4s + 2j = 140

2s + 3j = 150

B)

4s + 2j = 140

2s + 3j = 150

Multiply (-2) to the second equation

-2 (2s + 3j = 150)

-4s - 6j = -300

Now you have the equations:

4s + 2j = 140

-4s - 6j = -300

-----------------------------add

-4j = -160

  j = 40

4s + 2(40) = 140

4s + 80 = 140

4s = 60

 s = 15

The cost for a sweater is $15 and the cost for a jean is $40

We used the elimination method to solve the system of equations.

C)

Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85

Total cost for 1 pair of jeans and 3 sweaters = $85

If she has $225 the

$225 / $85 = 2.64

2 jeans = 2 x 40 = $80

6 sweaters = 6 x $15 = $90

So She can only buy 2 jeans and 6 sweaters

3 0
3 years ago
The South Company cash account had a balance of $1,202.50 on January 31. A deposit, made on the 31st, in the amount of $100.05 w
labwork [276]

Answer:

$1326

Step-by-step explanation:

Follow the format of the reconciliation statement

The adjusted cash balances should match

Cash balance as per the bank statement, January 31        1421.95

Add: Deposit in transit                                                           100.05

Deduct: Outstanding checks                                                  <u>(196)</u>

Adjusted cash balance                                                            <u>1326</u>

Balance as per depositor's record, January 31                    1202.5

Subtract: NSF check                                                                  (18)

Subtract: Service charges                                                         (8.5)

Add: receivable collected                                                          <u>150</u>

Adjusted cash balance                                                              <u>1326</u>

The reconciled amount is $1326.

!!

8 0
3 years ago
What is the average room rate of room rates at hotels $700,$650,$680,$710,and $695
Reil [10]

Answer:

The answer is 687

Step-by-step explanation:

You need to add them all up and then divide by the number of rates which is 5

1.700+650+680+710+695=3435

2.3435/5=687

Hope this was helpful

8 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!
leva [86]

Answer:

11.7 units

Step-by-step explanation:

sq root(2--4)^2+(-7-3)^2

sq root(6)^2 + (-10)^2

sq root (36)+(100)

sq root 136

equals 11.66 which rounds up to 11.7

6 0
3 years ago
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