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Alexandra [31]
3 years ago
5

Use the six steps in the "Blueprint for Problem Solving" to solve the following word problem. You may recognize the solution

by just reading the problem. Use n as the variable for the number and write the equation used to describe the problem.
If three times the sum of a number and 4 is 18, find the number.

Equation:

The number is .
Mathematics
1 answer:
ch4aika [34]3 years ago
8 0
Number is n
Three times the sum of a number and 4.
 
= 3* ( n + 4) = 18
    3n  + 12 = 18.
     3n    =  18 - 12.
      3n   = 6
         n = 6 / 3.
           n = 2.
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If a 12-meter-tall airplane hangar casts a 18-meter shadow at the same time a parked jet casts a 6-meter shadow , how tall is th
8090 [49]
Given 
  12 meters tall airplane
  18 meter shadow of airplane
  6 meter shadow of jet
Find the measurement of the jet (y)
Solution
 6y = 12 + 18                         30
-----    ---------    ---->     y   = -------    ----------->  y= 5
 6           6                              6

The answer is 5 meters tall is the measurement of a parked jet. 
5 0
3 years ago
A liquid solution is slowly leaking from a container. The graph shows the milliliters of solution, y, remaining in the container
Burka [1]

Answer:

90 minutes

Step-by-step explanation:

See attachment for graph.

First, we need to determine the slope.

When y = 900, x = 0

When y = 600, x = 30

The slope is then calculated as:

m = (y2 - y1)/(x2 - x1)

m = (600 - 900)/(30 - 0)

m = -300/30

m = -10

Next, we determine the equation of the line using

y - y1 = m(x - x1)

So, we have:

y - 900 = -10(x - 0)

y - 900 = -10x

y = 900 - 10x

When the container is empty, y = 0.

So, we have:

0 = 900 - 10x

Collect Like Terms

10x = 900

Solve for x

x = 900/10

x = 90

3 0
3 years ago
URGENT: PLEASE HELP!
vazorg [7]

To solve this problem, we are going to set up an equation. However, first we need to convert the percentages to decimals by dividing by 100.

15% = 0.15 , 7.5% = 0.075

Now, we should substitute in our given information into our equation and let our unknown value be equal to the variable x.

0.15(500) = 0.075x

Then, we should simplify our equation by multiplying together the two factors on the left side of the equation.

75 = 0.075x

Finally, we should divide both sides of the equation by 0.075 to get the variable x alone.

x = 1000

Therefore, your answer is 1000.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Factor the expression.
grigory [225]
Hey!

First, let's write the problem,
4r^2-64
Factor out the common term, which is 4,
=4\left(r^2-16\right)
Then, let's factor this part: r^2-16
We are going to factor it using the difference of squares rule.
=\left(r+4\right)\left(r-4\right)
Our final factored answer would be,
=4\left(r+4\right)\left(r-4\right)

Thanks!
-TetraFish
8 0
3 years ago
Read 2 more answers
Which function describes the arithmetic sequence shown?
Lynna [10]

f(x)= -2x-3

Step-by-step explanation:

Step 1:

Let the sequence given here is -5, -7, -9, -11, -13 ......

Here the first term (a₁) of sequence is -5

And the common difference between the numbers in the sequence is

d= (-7-(-5)) = -7+5 = -2

Let the number of terms be x

Step 2;

To find the sequence function basic arithmetic sequence formula is

aₙ = a₁ + d( x-1)

Applying the values we get

f(X) = -5 + ((-2)(X-1))

on simplification

f(X) = -5 + (-2X+2)

f(X)= -5+2-2X

f(X)= -3-2X

8 0
3 years ago
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