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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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Please, I really need help-
posledela
<h3>Answer: 48</h3>

=====================================================

Explanation:

Triangle ABC is isosceles because AC = BC.

The angles opposite these congruent sides are angle ABC and angle BAC. These are the base angles.

For any isosceles triangle, the base angles are congruent.

Angle BAC = 69 degrees is given. So angle ABC = 69 as well.

-------------------

The missing angle must add to the two other angles so that all three angles in a triangle add to 180

(angle ABC) + (angle BAC) + (angle BCA) = 180

69 + 69 + (angle BCA) = 180

138 + (angle BCA) = 180

angle BCA = 180-138

angle BCA = 42

-------------------

Angle DCE is congruent to angle BCA because they are vertical angles.

Triangle DCE is a right triangle. The missing angle is 90-(angle BCA) = 90-42 = 48

angle EDC = 48 degrees

6 0
3 years ago
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Algrebric expression for x more then 7
Nina [5.8K]

Answer:

this is most likely wrong but x=>7

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3 years ago
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what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​
JulijaS [17]

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

\frac{11-x}{8-x}=\frac{2}{1}

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

7 0
3 years ago
Measure of a triangle’s side
Elodia [21]
Answer
x= 163.54
x=243.11

6 0
3 years ago
A gambling casino is designed in the shape of a square pyramid with a side length of 75 ft. The height of the building is 28 ft.
irakobra [83]

Answer:

Step-by-step explanation:

Given the dimension of a square pyramid

Length of pyramid

L = 75 ft

Height of pyramid

H = 28ft

The pyramid is a square base

Then,

Volume of a pyramid is calculated using

Volume = base area × height

Since base is a square, then the area of a square is

Area = L² = 75² = 5625 ft²

Then,

Volume = base Area × height

Volume = 5625 × 28

Volume = 157,500 ft³

Then, given the rate of volume to be

dV / dt = 26,250 ft³ / hr

So, we want to find the time the system will filled the air

dV / dt = 26,250

dV = 26,250 dt

Integrate both sides

∫ dV = ∫ 26,250 dt

V = 26,250t + C

When t = 0, V = 0, initially, there is not volume of system air.

Therefore C = 0

V = 26,250t

When V = 157,500 ft³

Then,

t = V / 26,250

t = 157,500 / 26,250

t = 6 hours

So, it will take 6 hours for the system to circulate the room

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3 years ago
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