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rodikova [14]
2 years ago
7

Why can you use cross products to solve the proportion StartFraction 18 over 5 EndFraction = StartFraction x over 100 EndFractio

n for x?
because 18 times 100 is equal to 5 times x, which means that x is equal to 36

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

because 18 times x is equal to 5 times 100, which means that x is equal to 36

because 18 times x is equal to 5 times 100, which means that x is equal to 360
Mathematics
2 answers:
Butoxors [25]2 years ago
6 0

Answer:

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

Step-by-step explanation:

18/5=x/100

Cross product

18*100=5*x

1800=5x

x=1800/5

x=360

because 18 times 100 is equal to 5 times x, which means that x is equal to 360

kkurt [141]2 years ago
3 0

Answer:

b

Step-by-step explanation:

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It takes Wayne 1/10 hours to walk a 1/6 mile park loop. What is Wayne's unit rate, in miles per hour
olchik [2.2K]
To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.

1/6 mile / 1/10 hours = x miles / 1 hour

Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal.  The resulting equation is:

1/6 = 1/10x

Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.

x = 5/3 or 1 2/3

Therefore, Wayne walks 1 2/3 miles per hour.
5 0
2 years ago
A group of adults and students went on a class trip to Washington, DC. The number of male students was 1 more than 7 times the n
AVprozaik [17]
X number of male students
Y number of female students
Z number of the adults
X=(1 + 7)Z=8Z
Y= X/2
X +Y +Z = 82
8Z +8Z/2 +Z=82 implies Z=82/26=3.1
so we take Z= 3

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5 0
2 years ago
Jose wants to start a restaurant and is writing a business proposal. His rent is $1,000 per month. The monthly operating costs a
Harman [31]

Answer:

Revenue =  5( 1000 + w+ k)

Step-by-step explanation:

Lets calculate expenses first

rent = $1000

wages = w

overhead cost = k

Total cost = rent + wage+ overhead

Total cost = 1000 + w+ k

Given Jose wants his monthly sales revenue, x, to be 4 times greater than the operating costs

Let revenue be R

Thus, putting the statement mathematically

revenue - total cost = 4 * operating cost

R - ( 1000 + w+ k) = 4( 1000 + w+ k)

R =  4( 1000 + w+ k) + ( 1000 + w+ k)

R =  5( 1000 + w+ k)

Thus, revenue should be  5( 1000 + w+ k).

4 0
2 years ago
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
Alex73 [517]

Answer: The largest angle formed during his trip is at the mall between his home and the library.

Step-by-step explanation:

Hi, since the situation forms a right triangle (see image attached) the angle formed between his home and the library is 90°.

The sum of the interior angles of a right triangle is 180°, and the right angle (90°)is the largest angle formed.

So, the largest angle formed during his trip is at the mall between his home and the library.

Feel free to ask for more if needed or if you did not understand something.

7 0
2 years ago
Read 2 more answers
A baseball is thrown up in the air. The table shows the heights y (in feet) of the baseball after x seconds.
kogti [31]

Answer:

Ok, we know that the baseball will have an equation like:

h(x) = a*x^2 + b*x + c

Where x represents time, and h(x) represents height.

Let's construct it:

The acceleration is:

a(t) = a

For the velocity, we can integrate over time and get:

v(x) = a*x + v0

where v0 is the initial vertical velocity.

and for the position (or the height) we can integrate again:

h(x) = a*x^2 + v0*x + h0

Where h0 is the initial position.

Then our equation is:

h(x) = a*x^2 + v0*x + h0.

Now let's look at the table:

when x = 0s, h(0s) = 6ft

Then:

h(0s) = a*0s^2 + v0*0s + h0 = 6ft

            h0 = 6ft.

We also can see that:

h(2s) = h(4s)

Knowing that the quadratic function has symmetry around a point, we can conclude that the point of symmetry is right in between of 2s and 4s, which is at x = 3s.

Now, for a standard quadratic equation:

a*x^2 + b*x + c

The symmetry line is at:

x = -b/2a

In this case:

b = v0

a = a

then we have:

3s  = -v0/(2*a)

v0 = -3s*(2a)

Now we have all the data that we need for our equation, we can write it as:

h(x) = a*x^2 - 6s*a*x + 6ft

Now we have only one variable left, we know that at x = 2s, h(2s) = 22ft

then:

h(2s) = 22ft = a*(2s)^2 - 6s*a*2s + 6ft

           22ft - 6ft = 16ft = a*(4s^2 - 12s^2) = a*(-8s^2)

                             16ft/(-8s^2) = a = -2ft/s^2

Then our equation is:

h(x) = (-2ft/s^2)*x^2 + (12ft/s)*x + 6ft

b) The height after 5 seconds is given by:

h(5s) =  (-2ft/s^2)*(5s)^2 + (12ft/s)*5s + 6ft = 16ft

7 0
2 years ago
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