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vodomira [7]
1 year ago
10

#1 A computer programmer worked for 10 hours and earned $70, which is a rate of $ per hour. Rate Unit Rate

Mathematics
1 answer:
sineoko [7]1 year ago
8 0

Answer:

$7/hour

Explanation

From the question we are told that a computer programmer worked for 10 hours and earned $70, this can be expressed as;

10 hours = $70

We are to find amount he is earning per hour. This can be written as;

1 hour = $x

Divide both expression

10/1 = 70/x

Cross multiply

10 * x = 70 * 1

10x = 70

x = 70/10

x = 7

Hence the rate per hour is $7/hour

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48 is what percent of 120
never [62]

Answer:

40 percent

Step-by-step explanation:

Hope this helps!❆

7 0
3 years ago
The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
koban [17]
Lateral Area = PI * radius * slant height
Lateral Area = 3.14159 * 1.5 * 5
Lateral Area = <span> <span> <span> 23.561925 </span> </span> </span>

The answer is 24 square inches.

Source:
http://www.1728.org/volcone.htm


3 0
3 years ago
If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a standard deviation of 2 ohms, what is
V125BC [204]

Answer:

The probability is  P(\= X  <  40.4) = 0.84134

Step-by-step explanation:

From the question we are told that

   The mean is  \mu =40 \ \Omega

   The standard deviation is  \sigma  = 2 \ \Omega

   The sample size is  n = 25

    The combined resistance is   \sum x_i = 1010 \ \Omega

Generally the sample mean is mathematically represented as

      \= x  = \frac{\sum x_i }{n}

=>   \= x  = \frac{1010 }{25}

=>   \= x  = 40.4 \ \Omega

Generally the standard error of the mean is mathematically represented as

     \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>  \sigma_{x} = \frac{ 2 }{\sqrt{25} }

=>  \sigma_{x} = 0.4

Generally the probability that a random sample of 25 of these resistors will have a combined resistance of less than 1010 ohms is mathematically represented as

       P(\= X  <  40.4) = P( \frac{\= X - \mu }{\sigma_{x }} <  \frac{ 40.4 - 40 }{0.4}  )

\frac{\= X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ \= X )

    P(\= X  <  40.4) = P( Z <  1 )

From the z table  the area under the normal curve to the left corresponding to  1 is

     P(\= X  <  40.4) = P( Z <  1 ) = 0.84134

     P(\= X  <  40.4) = 0.84134

3 0
3 years ago
In mrs. prosser's class there are 32 students. If 3 out of every 8 prefer to ride their bicycles to school, how many students in
Molodets [167]
First divide 32 by 8

32/8

=4

Then multiply the 4 by 3 to find out how many students in the class like to ride their bicycles to school

4x3

12 students is your answer
8 0
3 years ago
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