Clear parentheses and combine like terms:​

Answer:

I and II only

Step-by-step explanation:

Answer:

The expression 75ℎ represents the total charge for Elegance Home Architects.

If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

Step-by-step explanation:

Given the following :

Rock the house digital designs :

Initial consultation charge = $500

Additional hour of work for house plan = $50 /hr

Elegant Home Architect:

Charge = $75 / hr

h = number of hours fro which Johnson's family hires the design firm

Total amount charged by Elegant home Architect = 75 × h = 75h

Total amount charged by Rock the house digital design = (500 + 50h)

If h = 15 hours :

Total amount charged by Elegant home Architect = 75 × 15 = $1,125

Total amount charged by Rock the house digital design = (500 + 50(15)) = 500 + 750 = $1,250

Hence, Elegant home Architect is cheaper.

If h = 40 hours :

Total amount charged by Elegant home Architect = 75 × 40 = $3,000

Total amount charged by Rock the house digital design = (500 + 50(40)) = 500 + 2000 = $2,500

Hence, Rock the house digital design is cheaper.

Answer:

x = 22

Step-by-step explanation:

same- side exterior angles are supplementary, thus

4x + 15 + 3x + 11 = 180, that is

7x + 26 = 180 ( subtract 26 from both sides )

7x = 154 ( divide both sides by 7 )

x = 22

Answer: X + (X + 2) + (X + 4) + (X + 6) = 0

Step-by-step explanation:

We were already given the sum of four consecutive integers. Consecutive means coming after another. Let's first define our first consecutive odd number as X. Since it says consecutive odd integers, there is a difference of 2   between two odd numbers. We keep on adding 2 to the value of X, since they asked for four consecutive odd integers, so we get the 4 values of X,  (X+2), (X+4), and (X+6). Once we put this in an equation, we get X + (X + 2) + (X + 4) + (X + 6) = 0.

The equation that models the sentence is :  x + (x + 2) + (x + 4) + + (x + 6)  = 0.

An odd number is a number that cannot be divided into half without any remainders. Examples of odd numbers are 1,3, 7, 11.

For example when 11 is divided in half, its value is 5.5

Consecutive odd numbers are odd numbers that follow each other. Examples are 1, 3, 5.

Consecutive odd numbers increase by 2

In order to model the sentence, let x represent the first odd number

Second odd number = x + 2

Third odd number = x + 4

Fourth odd number = x + 6

The equation is: x + (x + 2) + (x + 4) + + (x + 6)  = 0

To learn more about odd numbers, please check: https://brainly.com/question/20432427?referrer=searchResults

Answer:

It is 62 miles.

Step-by-step explanation:

Hope this helps! :)

Answer:

62miles in one hour

Step-by-step explanation:

First, you have to identify your miles and you hour.

496 miles in 8 hours.

This automatically implies division because we want to know how far the train goes in 1 hour

Divide 496 by 8

Answer is 62 miles in one hour.

Answer: Answer

Step-by-step explanation: The domain of a function is all possible set inputs for a function. For example, if the function was {(10, 20), (10, 50), (11, 30)}, then the domains would be 10 and 11. Basically it is the first x value of each set.

Answer:

Hey there!

6 is an integer, whole number, and real number.

Let me know if this helps :)

Answer:

6

Explaination:

r^3=216

r= cuberoot(216)

r= cuberoot(6x6x6)

r=6

Answer: 192,000

Step-by-step explanation:

Answer:

[tex] \frac{5}{8} \frac{17}{24} [/tex]

[tex] \frac{15}{24} \frac{17}{24} [/tex]

The answer is A

Answer:

A

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

Answer:

supplementary and straight

Step-by-step explanation:

1. angle D and angle B add up to make a 180 degree angle so they are supplementary.

2. A and C each equal 180 degrees (straight angle= 180 degrees)

D. supplementary angles, C. right angle ,B. straight angle

Answer:

A . The numbers are 6 and 7, with the smaller number as 6

B. The number is 135

Step-by-step explanation:

A. Let the numbers be a and b

adding both gives 13

a + b = 13 •••••(i)

difference between the two is 1

b - a = 1 ••••••(ii)

So we have two equations that we can solve simultaneously;

b = 1 + a; Substitute this into 1

a + 1 + a = 13

2a + 1 = 13

2a = 13-1

2a = 12

a = 12/2

a = 6

b = a + 1 = 6 + 1 = 7

The numbers are 6 and 7 while 6 is the smaller number

B.Let the number be x

Divide by 5; x/5, then subtract 2 , we get 25

x/5 - 2 = 25

x/5 = 25 + 2

x/5 = 27

x = 5 * 27

x = 135

Answer:

92.44 + 1.39 = $93.83

Step-by-step explanation:

Since it was reduced by a certain amount, simply, add it back!

Answer:

4 days

Step-by-step explanation:

77+30=107

400/107=3.73

Answer:

image = A = 35×35

preimage = B = 28×28

Scale factor = image/preimage

=

[tex] \frac{35}{28} \times \frac{35}{28} [/tex]

=

[tex] \frac{5}{4} \times \frac{5}{4} [/tex]

= 25/16

=

Answer:

The answer is A. 2

Step-by-step explanation:

The data values 8 - 10 is 2 because there are only 9 and 10.

Hope it helps :)

Answer:

[tex]m=4[/tex]

Step-by-step explanation:

So we have the equation:

[tex]4x-20=mx-5m[/tex]

First, factor out a m from the right:

[tex]4x-20=m(x-5)[/tex]

Divide both sides by x-5:

[tex]m=\frac{4x-20}{x-5}[/tex]

Factor out a 4 in the numerator:

[tex]m=\frac{4(x-5)}{x-5}[/tex]

The (x-5)s cancel. Thus:

[tex]m=4[/tex]

The value of m is 4 :)

Answer:

5 × 10 ^ -6

to get the answer move the decimal in 0.000005 to 5 which 6 place forward

which can also be written as 5 × 10 ^ -6

hope it helps

5×10- 6

Step-by-step explanation:

because we are converting decimal into scientific notation

Answer:

20(x)=75

Step-by-step explanation:

x= unknown number

product= multiplication equation

Answer:

x = 0 hopefully this helps

Answer:

Step-by-step explanation:

The frame is rectangular in nature, to determine a reasonable value for how much wall space the portrait will cover, we will take the area of the frame.

Given

Length of the frame = 45in

Width of the frame = 37in

Required

Area of the frame

Area of the rectangular frame = Length * Breadth

Area of the rectangular frame = 45in * 37in

Given 1feet = 12in

45in = 45/12 ft=  3.75ft

37 in = 37/12 ft = 3.083 ft

Area of the frame = 3.75ft * 3.083 ft

Area of the frame = 11.56ft²

Area of the frame ≈ 12ft²

The band will march 3.2 kilometers at the same rate.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

800 meters for every 15 minutes

800 meters  ⇔ 15 minutes

Multiply 4 by both sides

3200 meters ⇔ 60 minutes

Now,

60 minutes = 1 hour

And,

Since 1000 meter = 1 kilometer ⇒ 3200 meter = 3.2 kilometer.

So,

1 hour ⇔ 3.2-kilometer.

Hence "The band will march 3.2 kilometers at the same rate".

For more information about ratio and proportion,

brainly.com/question/26974513

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Answer:

2 * 10 + 6 * .1 + 5 * .01

Step-by-step explanation:

Answer:

Angle E is 43 degrees.

Step-by-step explanation:

So we know that AB is parallel to CD.

We also know that Angle CHF is 119 degrees and that Angle B is 18 degrees.

First, let's find Angle DHF. It is the supplementary angle to Angle CHF. Thus, they must total 180:

[tex]\angle DHF+\angle CHF=180[/tex]

We already know that Angle CFH is 119. Substitute:

[tex]\angle DHF+119=180[/tex]

Subtract 119 from both sides:

[tex]\angle DHF=61[/tex]

Therefore, Angle DHF is 61 degrees.

Since Angle DHF is 61 degrees, then angle BGH must also be 61 degrees. This is because they are corresponding angles, and corresponding angles have the same measure.

Also, Angle BGE is the supplementary angle to Angle BGH. In other words:

[tex]\angle BGE+\angle BGH=180[/tex]

Find Angle BGE. Substitute 61 for BGH:

[tex]\angle BGE+61=180[/tex]

Subtract 61:

[tex]\angle BGE=119[/tex]

So, angle BGE is 119 degrees.

Recall that a triangle's interior angles sum to 180. This means that Angle B plus Angle BGE plus Angle E must equal 180. Thus:

[tex]\angle B+\angle BGE+\angle E=180[/tex]

Substitute 18 for B and 119 for BGE. Thus:

[tex]18+119+\angle E=180[/tex]

Add:

[tex]137+\angle E=180[/tex]

Subtract:"

[tex]\angle E=43\textdegree[/tex]

And we're done!

Remarks:

I just realized that you can just use the fact that alternate exterior angles have the same measures to figure out that BGE is equivalent to CHF. Regardless, we will arrive at the same answer :)

Answer:

7.05 simplified rational

Answer:

irrational number

Step-by-step explanation: