Mr. and Mrs. Nelson are going to build a new home. They need to have working drawings of their house plans created by a design firm.
They will choose between Rock the House Digital Designs and Elegant Home Architects. Rock the House Digital Designs charges $500.00 for
the initial consultation with the Nelsons, plus $50.00 for every additional hour of work for the house plans. Elegant Home Architects charge
$75.00 per hour for the house plans. Let a represent the number of hours for which Mr. and Mrs. Nelson hire the design firm. Which of the
following statements are true? Select all that apply.

Answer:

1/3 or 33.3%

Step-by-step explanation:

You can roll a 1 2 3 4 5 or 6

If you want a 5 or 6 there is a 2 in 6 chance which is the same as 1 in 3.

1/3 = .333333 which can be expressed at 33.3%

Answer:

a) 7/4 b) 5 c) 2

Step-by-step explanation:

Logrithmic Rule for a and b

Let a, M, N be positive real numbers.

a)  

logaM - logaN = loga(M/N)

log9(7) - log9(4) = log9 (7/4)

b)

logaM + logaN = logaMN

log2 (x) + log2(9) = log2(45)

x9=45

(x9)/9 = 45/9

x = 5

c)

Change of base formula.

logb​(x)=logd​(b)/logd​(x)​

x log6(5) = log6(25) divide each term by log6(5)

x log6(5) / log6(5) = log6(25) / log6(5)   Cancel common factor log6(5)

x = log6(25) / log6(5)

x = log6(5^2) / log6(5)

Expand log6(5^2) by moving 2 outside the logarithm.

x = 2log6(5) / log6(5) cancel the like term log6(5)

x = 2

Answer:

a is the value of X

Step-by-step explanation:

The value of the variable x is 40. Then the correct option is C.

The circle is at equidistant of points drawn from the center. The radius of a circle is the distance between the center and the circumference.

Half the differential between the dimensions of the captured arcs is the measurement of an angle made by the two secants, two tangents, or a secant and a tangent from just a point are outside the circle.

Then the equation will be given as,

35° = [(4x + 50) – (3x + 20)] / 2

Simplify the above equation, then the equation will be

35 = (4x – 3x + 50 – 20) / 2

70 = x + 30

 x = 70 – 30

 x = 40

Then the value of the variable x is 40.

Then the correct option is C.

More about the circle link is given below.

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Answer:

Step-by-step explanation:

50 = 19 + 8 + x

50 - 27 = x

x = 23

Number of students = 50

Apples = 19

Bananas = 8

Other fruits = 23

Percentage of students who chose apples =

19/50 × 100 =

38%

Percentage of students who chose bananas =

8/50 × 100 =

16%

Students that didn't chose apples =

50 - 8 = 42

42/50 × 100 =

84%

Students that didn't chose apples or bananas = 23

23/50 × 100 =

46%

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

From the question , the original line is

y = 5x + 8

Comparing with the general equation above

Slope / m = 5

Since the lines are parallel their slope are also the same

Slope of parallel line = 5

Equation of the line using point (1,-3) and slope 5 is

We have the final answer as

Hope this helps you

1.

term number        sequence A        sequence B

        0                          -1                          ¹/₂

        1                            2                          1

        2                           5                          2  

        3                           8                          4

        4                           11                          8

        5                          14                         16    

        6                          17                         32

2.

Every new term of sequence A is produced by adding 3 to the previous term

3.

Every new term of sequence B is produced by multipling the previous term by 2

4.

In a geometric sequence each term is found by multiplying the previous term by a constant. It means the sequence B is geometric, the constant is 2.

Answer:

[tex]1\frac{19}{30}[/tex]

Step-by-step explanation:

To operate between mixed numbers is always better to write then in fraction form first (as improper fractions), and then operate using the rules to combine fractions.

For the first mixed number :

[tex]4\frac{5}{6} = 4+\frac{5}{6} =\frac{24}{6} +\frac{5}{6}=\frac{29}{6}[/tex]

For the second mixed number:

[tex]3\frac{1}{5} =3+\frac{1}{5}=\frac{15}{5}+\frac{1}{5}=\frac{16}{5}[/tex]

So now we have to subtract these two fractions, so we need to write them with the same common denominator (6 x 5 = 30):

[tex]\frac{29}{6}-\frac{16}{5}=\frac{145}{30} -\frac{96}{30}=\frac{49}{30}[/tex]

and finally we write the obtained answer in mixed number form:

[tex]\frac{49}{30} =1+\frac{19}{30} =1\frac{19}{30}[/tex]

Answer: 10 units

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Edg 2021

Answer:

211.5 in²

Step-by-step explanation:

top rectangle: 5x7=35

middle rectangle: 8x9=72

bottom triangle: 1/2(19)(11)=104.5

35+72+104.5= 211.5 in²

Answer:

[tex]y=3x+3[/tex]

Step-by-step explanation:

Use the slope-intercept form:

[tex]y=mx+b[/tex]

m is the slope and b is the y-intercept. The y-intercept is the place where x is equal to 0, and the slope is the change in the y-axis over the change in the x-axis, otherwise known as rise over run ( [tex]\frac{rise}{run}[/tex] ).

If you study the graph, you can see that the line crosses the y-axis at (0,3), so 3 is the y-intercept. Insert into the formula:

[tex]y=mx+3[/tex]

Now find the slope. Use the slope formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

You need two points first. You can use the y-intercept (0,3) and another even point, like (1,6). Insert the values:

[tex](0_{x1},3_{y1})\\(1_{x2},6_{y2})\\\\\frac{6-3}{1-0}=\frac{3}{1}=3[/tex]

The slope is 3. Insert this value:

[tex]y=3x+3[/tex]

:Done

Answer:

1.24

Step-by-step explanation:

there are 4 quarts to a gallon. you have 3 gallons. so you have 12 quarts. 14.88 divided by 12 is 1.24! hope this helps! :)

Answer: what is the total amount of Rashad's sales? 1,380

How much does Rashad earn from his sales? 138

Edg.

Step-by-step explanation:

Answer:

1,380 , 138

Step-by-step explanation:

Edge 2021

Answer:

199/25

Step-by-step explanation:

Answer:

7 24/25

Step-by-step explanation:

The whole number, 7, does not change. The decimal becomes 96/100 which simplifies to 24/25 when you divide by 4.

Hope this helps :-)

Answer:

okNeed more practice? Just not getting it? Get Math help

Answer:

0.4 pokemons per min

Step-by-step explanation:

12/30=0.4

Answer:

i thought u played pokemon go

Step-by-step explanation:

Answer:

m = 1/4 b = 0

Step-by-step explanation:

We know that the slope-intercept form of a line is y=mx+b and that our equation is y=1/4x or y=1/4x+0 so m = 1/4 and b = 0  

Steps:

Add  

−9  and  6.

Answer:

−3

Hope this helps (●'◡'●)

Answer:

Step-by-step explanation:

Answer:

i kill math for u

Step-by-step explanation:

Answer:

-452°F < 212°F

Step-by-step explanation:

Answer: 0.75 = 3/4

Step-by-step explanation: To solve, flip the second fraction and multiply the numerators and denominators together and simplify.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}\div \frac{2}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\\\=\frac{1}{2}\times \frac{3}{2}\\\\\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}=\frac{1\times \:3}{2\times \:2}\\\\=\frac{3}{4}[/tex]

Answer:

3/18 or 1/9

Step-by-step explanation:

2/3 divided by 6 = ?

2       1        3

-   x   -  =    -

3       6      18

3/18

Answer:

1/9

Step-by-step explanation:

2/3÷6 = 2/3×1/6 = 1/9

Answer:

(x+4)(x+30)

Step-by-step explanation:

when the equation is x^2+bx+c=0

-b is the sum of the zeroes and c the product

so -34=-30-4 is the sum of the zeroes

120=30*4 is the product

so x^2+34x+120=x^2+30x+4x+120=x(x+30)+4(x+30)=(x+4)(x+30)

Answer:

(x+4)(x+30)

Step-by-step explanation:

sorry i am late...

Answer:

that one is already correct

Answer: Carpet required: 35 square yards. Cost: $700.

Wallpaper required 185 square feet, 4.2 double rolls needed, but you must buy full rolls. So 5 rolls will cost $125.

Step-by-step explanation:

Multiply the dimensions of the floor to get total square footage. Divide by 9 to convert to square yards.

314.5 ÷ 9 = 34.944. Round to 35 square yards. Multiply by $20 to get the cost of the carpet.

Multiply the dimensions of the wall to get total square footage.

Divide by 44 to get the number of rolls needed. Partial rolls not allowed. So it's 5 rolls times the $25 per "double roll." $125 is the cost.

Answer:

Step-by-step explanation:

Its the last graph.

The blue graph is the function y = |x|.

The red one is the graph of y =  5|x|.

This is a vertical stretch of factor 5.

Answer:

It's 15

Step-by-step explanation:

(5x+12) (6x+3)=180

5x+6x+12+3=180

11x+15=180

11x=180-15

11x=165

x=165/11

x=15

hope this helps :)

Answer:

I must be popular because my phone is blowing up.  

✔ hyperbole

Her smile lit up my day.  

✔ metaphor

The dog continued to bark, speaking with authority.  

✔ personification

He wept like a faucet.  

✔ simile

Step-by-step explanation:

Answer:

I must be popular because my phone is blowing up.  hyperbole

Her smile lit up my day.  metaphor

The dog continued to bark, speaking with authority.  personification

He wept like a faucet.  simile

Step-by-step explanation:

Answer:I think A is the answer sorry if I’m wrong

Step-by-step explanation:

The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

Here,

We have to determine places after the decimal point does the equivalent decimal have,

The denominator of the fraction is 10 and the denominator of the fraction is 100.

What is Decimal representation?

A decimal number is a number where the integer part is separated from the fractional part with the help of a decimal point.

Now,

Let the number 2 in numerator,

Denominator = 10

Then, Fraction = 2/10 = 0.2

Hence, The equivalent decimal have 1 places right after the decimal point.

Let the number 3 in numerator,

Denominator = 100

Then, Fraction = 3/100 = 0.03

Hence, The equivalent decimal have 2 places right after the decimal point.

So, The equivalent decimal have 1 places right after the decimal point, if

the denominator of the fraction is 10.

And, The equivalent decimal have 2 places right after the decimal point, if

the denominator of the fraction is 100.

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Answer:

12W=24+12

w=36÷12=3

.....

Answer:

w=3

Step-by-step explanation:

12w -24 = 12

=>12w=12+24

=>12w=36

=>w=36/12

=>w=3