A scale model of a building is 2.3 feet high. The ratio of the height of the model to the height of the building is 11:56. How tall is the building, in feet?

Answers

Answer 1

Answer: 2.3 ------------ 11
x ------------ 56
then x= (2.3x56)/11

also easier would be just to multiply by 56/11.

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Solve the equation for P: xp+yp=z (literal equation)

Answers

If you would like to solve the equation xp + yp = z for p, you can do this using the following steps:

xp + yp = z
(x + y) * p = z
p = z / (x + y)

The correct result would be p = z / (x + y).

What is the solution of log3x − 5 16 = 2?

the base is 3x - 5, and the argument is 16

Answers

Answer:

x=3

Step-by-step explanation:

The given equation is $\log_(3x-5)16=2$

The relation between logarithmic function and exponential function is given by

$\text{If }y=b^x\text{ then }x=\log_b(y)$

On comparing, we get

b = 3x-5

y = 16

x = 2

Hence, using the relation, we have

$16=(3x-5)^2$

Take square root both sides

$\pm√(16)=3x-5$

On simplifying

$3x-5=\pm4\n\n3x=\pm4+5\n\nx=(1)/(3)(5\pm4)\n\nx=(1)/(3)*1,(1)/(3)*9\n\nx=(1)/(3),3$

For x = 1/3

$3x-5\n\n=3\cdot (1)/(3)-5\n\n=-4$

Base cannot be negative.

Hence, the value of x is 3

Hello,

log (16)=2 in base 3x-5
==>16=2^(3x-5)
==>2^4=2^(3x-5)
==>4=3x-5
==>3x=9
==>x=3

Solve the following three variable system. 2x + 3y + 4z = 9
-x + 2y - z = 0
-2x + 4y + z = 3

Answers

$1)\ \ \ 2x + 3y + 4z = 9\n2)\ \ \ -x + 2y - z = 0\n3)\ \ \ -2x + 4y + z = 3\n===================================\n3)\ \ \ -2x + 4y + z = 3\ \ \ \Rightarrow\ \ \ z=2x-4y+3\n\n1)\ \ \ 2x + 3y + 4z = 9\ \ \ \Rightarrow\ \ \ 2x + 3y + 4(2x-4y+3) = 9\n2x+3y+8x-16y+12=9\n10x-13y=-3\n\n2)\ \ \ -x + 2y - z = 0\ \ \ \Rightarrow\ \ \ -x+2y-(2x-4y+3)=0\n-x+2y-2x+4y-3=0\n-3x+6y=3\ /:(-3)\nx-2y=-1\ \ \ \Rightarrow\ \ \ x=2y-1\n\n$

$1)\ \ \ 10x-13y=-3 \ \ \ \Rightarrow\ \ \ 10(2y-1)-13y=-3\n20y-10-13y=-3\n7y=7\ /:7\ \ \ \Rightarrow\ \ \ y=1\n\n2)\ \ \ x=2y-1\ \ \ \Rightarrow\ \ \ x=2\cdot2-1=1\n\n3)\ \ \ z=2x-4y+3\ \ \ \Rightarrow\ \ \ z=2\cdot1-4\cdot1+3=2-4+3=1\n\nAns.\ x=y=z=1$

Which set of polar coordinates describes the same location as the rectangular coordinates (0, -2)

Answers

Polar coordinates identifie the points of the plane by a distance from the reference point and an angle from a reference direction.

In this case the distance of (0,-2) from the origin is 2 and the anglefrom the x-axis is 180°. So the polar coordinates are (2, 180°)

(-2, 90 degrees) on apex

A roadside vegetable stand sells pumpkins for$5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an their sales totaled $98 .write and solve a system if equations to find how many pumpkins and squash hey sold?

Answers

Let's take those 6 squashes. You get 98-6*3=80. Now you have an identical number of pumpkins and squashes. A pumpkin and a squash are sold, in total, for $8, so to get $80 you need 10 of each. You have 10 pumpkins and 10+6=16 squashes.

Answer:

=16 squashes.

Find three consecutive numbers whose sum is 138 by writing and solving an equation

Answers

Your 3 variables in this equation would be:
x
x+1
x+2
as you need these numbers to be consecutive. Because it is asking for the sum, you need to add these three variables and set them equal to 138:
(x)+(x+1)+(x+2)=138
At this point the parentheses don't matter, so they can be removed:
x+x+1+x+2=138
Combine like terms:
3x+3=138
Subtract the three:
3x=135
Divide 135 by 3:
x=45
Then, plug 45 back into the other two variable equations:
45+1=46
45+2= 47
Your 3 consecutive integers are 45, 46, and 47

$x+x+1+x+2=138\n3x+3=138\n3x=135\nx=45\nx+1=46\nx+2=47$

Those numbers are 45,46,47.

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