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Mademuasel [1]
3 years ago
12

A building in a shape of a cube has a width of 100 ft., a length of 100 ft., and a height of 100 ft. An architect wants to build

a scale model of the building that is 10% smaller in volume. What is the height of the new building? Round to the nearest hundredth.
A) 90.75 ft.
B) 95.25 ft.
C) 96.55 ft.
D) 99.25 ft.
Mathematics
1 answer:
Oksanka [162]3 years ago
6 0

Answer: A) 90.75 ft.

Step-by-step explanation: because if we cut 10 from 100 we will get 90

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How do you do 1/4 (16x+20)-7x
Ira Lisetskai [31]
Distribute the 1/4:
1/4(16x) + 1/4(20) - 7x

Do the multiplication:
1/4(16x) = 16x/4 = 4x
1/4 (20) = 20/4 = 5

Now you have:
4x + 5 - 7x = 0

Combine like terms (4x and -7x):
-3x + 5 = 0

Subtract 5 from both sides:
-3x = -5

Divide by -3:
x = -5/-3 = 5/3

Answer:
x= 5/3
6 0
3 years ago
Let f(x)=-2x+7 and g(x)=x^2+9 find f(5)+g(5)
trapecia [35]
Substitute 5 into both the equations...
-2 (5)+7=-3
5^2+9=34

-3+34=31
hope this helpsss
7 0
3 years ago
Is x=5 the solution to the following equation? Show your work with the substitution property
guapka [62]

Answer:

yes

Step-by-step explanation:

2x-4=6

Let x = 5

2*5 - 4 = 6

10 -4 =6

6 = 6

Since this is true, x=5 is a solution to the equation

5 0
3 years ago
Read 2 more answers
Plz help will be thanked and will pick out brainly
vlabodo [156]
B is your answer
Hope this helps:D
have a great rest of a brainly day!
8 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
timama [110]

Answer:

Range is {y | y ≥ –11}


Step-by-step explanation:

This is quadratic equation.

<em>A quadratic equation's range can be found if we find the vertex.</em>

For quadratic equations that have a positive number in front of  x^{2} , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>


The formula for vertex of a parabola is:

Vertex =  (-\frac{b}{2a}, f(-\frac{b}{2a})

Where,

  • a is the coefficient of x^{2}
  • b is the coefficient of x

From our equation given, a=3  and  b=6

Now, x coordinate of vertex is  x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1

y coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the x value [ x=-1 ] into the equation. So we have:

3(-1)^{2}+6(-1)-8\\=-11


Hence, the range would be all numbers greater than or equal to -11  

Third answer choice is the right one.


6 0
3 years ago
Read 2 more answers
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