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Licemer1 [7]
3 years ago
14

Sue earns 20$ per hour. How much does she earn in 1/4 of an hour​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

Answer:

The answer is 5$

Step-by-step explanation:

If he earns 20 dollars in 1 hour, then in 1/4 of an hour he will earn:

Since  1 hour=60 minutes

He earns 20 dollars in 60 minutes

There for he will earn (20/60)=1/3 dollars in one minute

1/4 of an hour=(1/4)×60=15 minutes

To get the amount he earns in 1/4 of an hour or 15 minutes,

=(Number of minutes in 1/4 of an hour)×Amount he earns in 1 minute)=(15×1/3)=5 dollars

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Solve 3x + 2 = 15 for x using the change of base formula log base b of y equals log y over log b. −1.594 0.465 2.406 4.465
disa [49]

<u>Answer:</u>

The value in 3x + 2 = 15 for x using the change of base formula is 0.465 approximately and second option is correct one.

<u>Solution:</u>

Given, expression is 3^{(x+2)}=15

We have to solve the above expression using change of base formula which is given as

\log _{b} a=\frac{\log a}{\log b}

Now, let us first apply logarithm for the given expression.

Then given expression turns into as, x+2=\log _{3} 15

By using change of base formula,

x+2=\frac{\log _{10} 15}{\log _{10} 3}

x + 2 = 2.4649

x = 2.4649 – 2  = 0.4649

Hence, the value of x is 0.465 approximately and second option is correct one.

3 0
3 years ago
Read 2 more answers
A line that includes the point (3, 2) has a slope of 0. What is its equation in slope-intercept
Yanka [14]

Answer:

y=0x+2

Step-by-step explanation:

3 0
3 years ago
2x+3y=-27 is one equation in a coincidental system of two linear equations. the other equation is __y=__x-102.
Snezhnost [94]
Given:

An equation in a coincidental system of two linear equations:

2x + 3y = -27

The other equation is 

_y = _x - 102

Rearrange the second equation to be identical to the first

_y - _x = -102

Determine the factor, -102/-27 = 3.78

for x, 2 * 3.78 = 7.56
for y, 3 * 3.78 = 11.33

The second equation, 11.33y - 7.56x = -102
3 0
3 years ago
a company's stock was selling at $25 a share. a month later it was selling at $30 a share what is the percent increase​
lapo4ka [179]

Answer:

20%

Step-by-step explanation:

% increase = (final − initial) / initial × 100%

= (30 − 25) / 25 × 100%

= 20%

8 0
3 years ago
A family consisting of one mother, one father, two daughters and a son is taking a road trip in a sedan. The sedan has two front
Mariana [72]

Answer:

B. 32

Step-by-step explanation:

Let's start by defining the multiplication principle.

If a first experiment can happen in ''a1'' ways,a second experiment can happen in ''a2'' ways ... and finally a ''ni'' experiment can happen in ''ai'' ways  ⇒ the total ways in which the whole experiment can take place are :

a1 x a2 x ... x ai

Let's also define the arrangement of ''n'' objects in a straight line.

This arrangement is the number n!

For example if we want all the arrangements for letters A,B and C (n = 3) this number is 3! = 3.2.1 = 6

For the problem we are going to calculate the arrangements in which the father is driving and then multiply that number by 2 to obtain the arrangements in which the father and the mother drive.

When the father drives there are 4 possible seats for 4 persons ⇒ 4! = 16 ways this 4 persons can sit.

Now we subtract the ways in which the two daughters are sitting next to each other.

This number is 2 x 2 x 2.

The ''first'' two is because the two daughters can seat one in the middle seat and one in the right window or one in the middle seat and one in the left window.

The ''second'' two is because the daughters are each different.

And the last two is the ways in which the mother and the son can sit ⇒

4!-2^{3}=24-8=16

If the father drive, there are 16 ways for this arrangement.

Now we multiply by 2 to obtain all the arrangements (we don't forget the case in which the mother drives).

(16).2=32

There are 32 possible seating arrangements.

6 0
3 years ago
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