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Tanzania [10]
2 years ago
11

Solve for x, rounding to the nearest hundredth. 550.3^ x = 50

Mathematics
1 answer:
Gelneren [198K]2 years ago
5 0

Answer:

<em>- 2.18</em>

Step-by-step explanation:

550 × 3^{x} = 50

3^{x} = \frac{1}{11}

log_{3} \frac{1}{11} = x

x = log_{3} 1 - log_{3} 11

log_{3} 1 = 0

log_{3} 11 = 2.1826583386

<em>x </em>≈<em> - 2.18</em>

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Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.
lutik1710 [3]

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

3 0
2 years ago
Solve for V<br> 1 - 5V = V + 9 – 10V
denpristay [2]

Answer:

2

Step-by-step explanation:

1-5V=V+9-10V

1-5V-V-(-10V)=9

1-5V-V+10V=9

1-6V+10V=9

1+4V=9

4V=9-1

4V=8

V=8/4

V=2

7 0
2 years ago
Read 2 more answers
Is the following correct? explain. 296 ÷ 6= 48 r8
Sergio [31]
No. 
8 can be divided by 6 one more time. the correct answer should be 49 r2
3 0
3 years ago
I need to Match each equation that represents each situation.
almond37 [142]

Step-by-step explanation:

this is quite easy, when you use just common sense and identify the right numbers and variable names.

they is nothing special needed, you don't even need to create the equations yourself.

$4.99 per pound. buys b pounds and pays $14.95.

14.95 = 4.99 × b

$4.99 per pound. buys b pounds and pays c.

this is exactly the same as before, just that this time the total amount is not given as a constant but as a variable.

c = 4.99 × b

d dollars per pound. buys b pounds and pays t.

the same as the 2 cases before, just now everything is a variable. no more constants, but otherwise the completely same structure and method.

t = d × b

earned $275, which is $45 more than Noah ("n").

$275 = n + $45

earned m dollars, which is $45 more than Noah ("n").

m = n + $45

earned m dollars, which is y dollars more than Noah (we are asked that Noah's earnings are now called "v").

here your teacher made a mistake.

sure, the only remaining answer is

v = m + y

but it is not correct. given the names of the prime and associated variables the correct answer would be

m = v + y or v = m - y

7 0
1 year ago
In the right -angled tringles began the ABC in the ED :8cm ,and DC :10cm then the length of the air
fgiga [73]
ED:8cm,DC:10 so the air is HD:18
7 0
3 years ago
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