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Orlov [11]
3 years ago
11

If 9^(1 - x) =27^Y and x-y equals to -11 / 2 find the value of x + y​

Mathematics
1 answer:
777dan777 [17]3 years ago
8 0

Answer:

x = -2.9

y = 2.6

x+y = -2.9+2.6

= -0.3

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Your math teacher gives you an extra credit problem to figure out her age. Half of her age three years
MatroZZZ [7]

Answer:

Teacher is 27 years old

Step-by-step explanation:

(1/2)(t - 3) = (1/3)(t + 9)

multiply by 6 to clear the fraction

3(t - 3) = 2(t + 9)

Distribute

3t - 9 = 2t + 18

Subtract 2t from both sides

t - 9 = 18

Add 9 to both sides

t = 27

Teacher is 27 years old

6 0
3 years ago
There are 412 students and 20 teachers taking buses on a trip to a museum. Each bus can seat a maximum of 48. Which inequality g
-BARSIC- [3]

The inequality \mathrm{b} \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }} gives the least number of buses, b, needed for the trip. The least number of buses is 9

<u>Solution:</u>

Given that, There are 412 students and 20 teachers taking buses on a trip to a museum.  

Each bus can seat a maximum of 48.  

We have to find which inequality gives the least number of buses, b, needed for the trip?

Now, there are 412 students and 20 teachers, so in total there are 412 + 20 = 432 travelers

<em><u>The number of buses required “b” is given as:</u></em>

\text { (b) } \geq \frac{\text { total number of travelers }}{\text { capacity of each bus }}

\text { So, number of buses required } \geq \frac{432}{48}

Number of buses required ≥  9 buses.

But least number will be 9 from the above inequality.

Hence, the inequality \mathrm{b} \geq \frac{\text {total number of travelers}}{\text {capacity of each bus}} gives least count of busses and least count is 9.

6 0
3 years ago
4. El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o
ira [324]

Answer:

Juan imprimió 7 páginas a color.

Step-by-step explanation:

Llamemos "b" a las copias en blanco y negro y "c" a las copias en color.

Juan imprimió 75 páginas. En forma simbólica es:

b + c = 75  

b = 75 - c   [1]

El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o  50 centavos si es a color. En total pago $6.90. En forma simbólica es:

0.05b + 0.5c = 6.90   [2]

Si reemplazamos [1] en [2],

0.05(75-c) + 0.5c = 6.90

3.75 - 0.05c + 0.5c = 6.90

0.45c = 3.15

c = 7

Juan imprimió 7 páginas a color.

4 0
3 years ago
Rachel bought one double pack of CD’s for $20. This is $4 less then than 3/4 the cost of a triple pack of CD’s. What is the pric
elena55 [62]

Answer:$32


Step-by-step explanation: So if the double pack of CD's is 20 dollars and that $4 less than 3/4 of the triple pack, then $20 + $4 = $24, then to find how much 1/4 of the cost is we divide 24 by 3, getting $8. Finally we multiple $8 by 4 to get $32, so the cost for a triple pack is $32.


6 0
3 years ago
A paper hat is folded into the shape of a kite, as shown.
Sedbober [7]

Answer:                              

the answer is D. 22

3 0
3 years ago
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