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Evgen [1.6K]
3 years ago
9

A motorcycle is traveling at a constant speed of 75miles per hour. How many feet does it travel in 7seconds? Remember that 1 mil

e is 5280 feet.
Mathematics
1 answer:
Stella [2.4K]3 years ago
5 0

770 feets per 7 seconds


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4x−3y=8<br> 4x−y=−8<br> work out x and y
Alexeev081 [22]

Answer:

y = -8

x = -4

okay i hope you got it

6 0
3 years ago
A semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750.
Novay_Z [31]

Answer:

Graph A is the correct choice.

Step-by-step explanation:

Let x be the number of weeks.

We have been given that a  semiconductor manufacturing company employs 1,000 people. The average weekly salary of each employee is $750.

Let us find the weekly salary for 1000 employees by multiplying 1000 by $750.

\text{The weekly salary for 1,000 employees}=1,000\times \$750

\text{The weekly salary for 1,000 employees}=\$750,000

Let us find amount of salaries after 52 weeks as 1 year equals 52 weeks.

\text{The amount of salaries after 52 weeks for 1,000 employees}=52*\$750,000

\text{The amount of salaries after 52 weeks for 1,000 employees}=\$39000000  

Since at week 0, the salaries for 1000 employees will be also 0, so point (0,0) will be on the line of our graph.

Now let see which of our given graphs has point (0,0) and (52,39000000).

We can see that graph A has y-value 39 million on x equals 52, therefore, Graph A is the correct choice.

4 0
3 years ago
#19 how do you do the work???!
Semenov [28]

Answer:

x=\frac{1}{3}

Step-by-step explanation:

move the terms with x to the left side of the equation:

add 3x to both sides

3x-1+3x=1

add 3x and 3x

6x-1=1

move all term not containing x to the right side:

add 1 to both sides of the equation

6x=1+1

6x=2

divide each term by 6

\frac{6x}{6}=\frac{2}{6}

x=\frac{2}{6}

simplify the fraction

x=\frac{1}{3}

8 0
3 years ago
Suppose that prices of a certain model of a new home are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule t
levacccp [35]

Answer:

68% of buyers paid between $147,700 and $152,300.

Step-by-step explanation:

We are given that prices of a certain model of a new home are normally distributed with a mean of $150,000.

Use the 68-95-99.7 rule to find the percentage of buyers who paid between $147,700 and $152,300 if the standard deviation is $2300.

<u><em>Let X = prices of a certain model of a new home</em></u>

SO, X ~ Normal(\mu=150,000 ,\sigma=2,300)

The z score probability distribution for normal distribution is given by;

                             Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean price = $150,000

            \sigma = standard deviation = $2,300

<u>Now, according to 68-95-99.7 rule;</u>

Around 68% of the values in a normal distribution lies between \mu-\sigma and \mu-\sigma.

Around 95% of the values occur between \mu-2\sigma and \mu+2\sigma .

Around 99.7% of the values occur between \mu-3\sigma and \mu+3\sigma.

So, firstly we will find the z scores for both the values given;

         Z  =  \frac{X-\mu}{\sigma}  =  \frac{147,700-150,000}{2,300}  = -1

         Z  =  \frac{X-\mu}{\sigma}  =  \frac{152,300-150,000}{2,300}  = 1

This indicates that we are in the category of between \mu-\sigma and \mu-\sigma.

SO, this represents that percentage of buyers who paid between $147,700 and $152,300 is 68%.

7 0
3 years ago
Which of the following is the solution of One-fourth x + 5 = 7? x = 2 x = 6 x = 8 x = 12
salantis [7]
Changes made to your input should not affect the solution:

(1): "x1" was replaced by "x^1". 3 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

57x28 + x = x • (57x27 + 1)

Trying to factor as a Sum of Cubes :

3.2 Factoring: 57x27 + 1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3

Check : 57 is not a cube !!


Final result :

x • (57x27 + 1)

Processing ends successfully
5 0
3 years ago
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