5x-3(x-2)=4

This is for Algebra 1

Answer:

The distance between their tops is 130 feet

Step-by-step explanation:

The given parameters are;

The height of A, [tex]h_A[/tex] = 2 × The height of B - 10

The distance between the two buildings, d = 120 feet

The height of B, [tex]h_B[/tex] = 60 feet

Therefore, we have;

The height of A, [tex]h_A[/tex]  = 2 × The height of B - 10 = 2 × 60 - 10 = 110 feet

The height of A, [tex]h_A[/tex] = 110 feet

By Pythagoras theorem, the distance between their tops = √(([tex]h_A[/tex] - [tex]h_B[/tex])² + d²)

Substituting the values gives;

The distance between their tops = √((110 - 60)² + 120²) = 130

The distance between their tops = 130 feet.

Answer:

b-6.9 ≤ 12

Step-by-step explanation:

Answer:

If y = -30 when x = 15

then x = 60 when y = 60

Answer:

D.) algebra rules

Step-by-step explanation:

Had it on the quiz

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

Answer:

no, it is rational

Step-by-step explanation:

a rational number is one that can be expressed as division of an integer by a nonzero integer. So it is rational, not irrational.

Answer:

The scale of the model is 1 : 244.

Step-by-step explanation:

15 inches = 1.25 feet. (1 inch = 0.0833333 feet)

Hence, the scale is 1.25 : 305 = 1 : 244. (1.25 / 1.25 : 305 / 1.25)

Hope this helped!

Answer:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Step-by-step explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be [tex]\frac{3}{2} = \frac{length}{width}[/tex].

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

[tex]1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}[/tex]

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done

Answer:

100.

Step-by-step explanation:

25%*400

=100

¡Espero que esto haya ayudado!

Answer: 3ab   IF a^b does NOT mean a to the power of b!

I believe you mean  9a²b and 30ab³

If you really mean 9aᵇ and 30ab³,  then the GCF is 3a.

Step-by-step explanation:

the factors of  9 are 3*3  The factors of 30 are 2*3*5.

The only common factor of 9 and 30  is 3

a is a common factor of a and a²

b is a common factor of b and b³

Answer:

Step-by-step explanation:

just add

3.17

1.15

2.26

-------

 7. 48 lbs

im pretty sure

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

Explanation:

The front triangular face is a triangle with base 8 and height 6. Its area is

A = 0.5*base*height

A = 0.5*8*6

A = 24 square feet

The back triangular face is also 24 square feet since these are the base faces of the prism. The base faces are always congruent. It might help to imagine this figure is turned on its side.

The slanted lateral face is a rectangle of length 10 ft and width 5 ft, so its area is L*W = 10*5 = 50 square feet

The rectangular face on the left is 6 ft by 5 ft giving an area of 6*5 = 30 square feet.

Lastly, the bottom rectangular face is 8 ft by 5 ft giving an area 8*5 = 40 square feet

Overall, the total surface area is: 24+24+50+30+40 = 168 square feet

We just add up all the individual areas of each face to get the total surface area.

Answer

D.26

Step-by-step explanation:

Answer:

-7 , -5 , - 3 , 1 ,3

Step-by-step explanation:

ascending order is arranging from the lowest number to highest number.

Answer:

-7 ,-5 , -3 , 1 , 3

Step-by-step explanation:

negative value smaller positive value.thus, negative come first before positive value.ascending order is from smaller to greater.

Answer:

53 degrees

Step-by-step explanation:

ACB seems to be a right angle so since ACD is 37 degrees:

DCB+37=90

DCB=53

Answer:53 degrees

Step-by-step explanation:

90-37= 53

Answer:

Step-by-step explanation:

Answer:

4.8 x 10^12

Step-by-step explanation:

Move the decimal to the second space so:

4.800000000000

Then count how many spaces the decimal moved so:

12

Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.

Step-by-step explanation:

4,800,000,000,000 = 4.8 x 10^12

This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

Exact form: [tex]\frac{512}{343}\\[/tex]

Decimal Form:1.4927

Mixed Number Form: 1 [tex]\frac{169}{343}[/tex]

Answer:

a

Step-by-step explanation:

Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.

Answer:

the answer is 4

Step-by-step explanation:

you plug in the 8 into the y variable. Then you divide 8 by 2. The answer comes out as 4.

Answer:

34-5x

Step-by-step explanation:

(12+2x-9)-(-15+7x-16)

(3+2x)-(-31+7x)

3+2x+31-7x

34-5x

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

Answer: 2:16 - 3:24 - 4:32 - 5:40 - 6:48 - 7:56 - 8:64 // just keep adding each side to its own side

Step-by-step explanation:

Well I don't know the answer choices so

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

equation= y=4x+6 slope= 4 yint= 6

Step-by-step explanation:

use y2-y1/x1/x2 then look where the zero is on the table. hope this helped.

Answer:

Domain (4, 18, 45, 58)

Range (-6, 5, 10)

Step-by-step explanation: