Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.

Answer:

y = 5x -56

Step-by-step explanation:

Delta y over Delta x for slope. Plug in x = 0 for y int.

y = 5(0) -56

y = -56

Answers:

Yes the data can be modeled with a linear equation.

Processing fee = 42 dollars; Daily fee = 102 dollars

Max number of days you can rent house = 11 days

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

Explanation:

Part 1

Let

x = number of days

y = total cost in dollars

Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.

--------------------

Part 2

The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.

You could also use the slope formula with say the first two columns of the table

m = (y2-y1)/(x2-x1)

m = (450-246)/(4-2)

m = 204/2

m = 102

This confirms the daily fee is $102.

You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.

Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.

y = mx+b

246 = 102*2+b

246 = 204+b

246-204 = b

42 = b

b = 42

The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.

--------------------

Part 3.

Plug in y = 1200 and solve for x

y = 102x+42

1200 = 102x+42

1200-42 = 102x

1158 = 102x

102x = 1158

x = 1158/102

x = 11.3529411764706

x = 11

We round down to the nearest whole number. This way we clear the hurdle.

Note that if x = 11, then,

y = 102x+42

y = 102*11+42

y = 1164

which is under the $1200 budget

In contrast, plugging in x = 12 leads to

y = 102x+42

y = 102*12+42

y = 1266

which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.

Answer:

8

Step-by-step explanation:

7-(-1)

My teacher said if it looks like this: -(- make it a plus!

so basically 7+1=8

A circle is divided into 4 parts out of which 2 parts are shaded. The diagram is attached for a better understanding. The fraction equivalent to 'Half' is 'Two-fourths'.

A fraction is part of the whole. It consists of two parts, that are:

1. Numerator: The number at the top of a fraction is called Numerator.

2. Denominator: The number at the bottom of a fraction is called Denominator.

The 'Half' is written in the number system as [tex]\dfrac{1}{2}[/tex].

Let's multiply the numerator and denominator by 2,

[tex]\dfrac{1}{2}= \dfrac{1 \times 2}{2 \times 2} = \dfrac{2}{4}[/tex]

Hence, the factor 'Two-fourths' is equivalent to 'Half'.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6

Answer:

thx

Step-by-step explanation:

really needed them and merry christmas

Answer:

3.14 as the shortened version. The long version goes on forever, but I'll write some more. 3.14159265358979323846

Step-by-step explanation:

Answer:

4.1 x 10^8

Step-by-step explanation:

Answer:

The answer for meters is 4.1 x 10^8 meters . There are 1000 millimeters in a meter, so the scientific notation is 4.1 x10^11 millimeters.

Answer:

Step-by-step explanation:

$ = $75 + $150m

$ = $75 = $150,000,000  ($150m is equal to $150 million)

$ = $150,000,075 (adding $150,000,000 and $75)

Answer:

the answer is x ^ 272

Step-by-step explanation:

subtract

Answer:

its B

Step-by-step explanation:

I got 100 on the quiz

Answer:

63/48

Step-by-step explanation:

21/4÷12/3

21/4×3/12

63/48.

So the final answer is 63/48

Answer:

1/35

Step-by-step explanation:

Answer:

counters left = 160

fraction of counters left = 160/400

=2/5

a) how much cheaper = 13 ×(35.43 -15.37)

= 260.78

b) B.underestimate

Answer:

260.78

Step-by-step explanation:

Answer:280

Step-by-step explanation:

use formula:a+b/2+h  a=base b=base h=height

Answer:

1/2x is m and 3 is b

Step-by-step explanation:

y= 1/2x +3

The formula would be MX+B.

so the slope which is m would be 1/2

and the +3 part would be the y intercept

because it's in the slope intercept form

Answer:

19 rows.

Step-by-step explanation:

304/16

=19.

Hope this helped!

Answer:

15 weeks

Step-by-step explanation:

15 times 20 = 300

300+60=360

15 Weeks

Step-by-step explanation:

You earn 20 every week, multiply that by 15 and you get 300. You already have 60 So add 300+60 and you get 360, so 15 weeks

Answer:

Sequence of arithmetic

Step-by-step explanation: An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Answer:

El precio del saco del azúcar es de 72.

Step-by-step explanation:

Sean [tex]x[/tex], [tex]y[/tex] los precios del saco de arroz y el saco de azúcar, respectivamente. A continuación, traducimos cada oración relevante en ecuaciones matemáticas:

(i) El precio del saco de arroz es a 2 como el precio del saco de azúcar es a 3:

Aquí se menciona una igualdad entre expresiones racionales, es decir:

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

[tex]3\cdot x -2\cdot y = 0[/tex] (1)

(ii) El producto de ambos precios es numéricamente 3456:

[tex]x\cdot y = 3456[/tex] (2)

Ahora resolvemos el sistema de ecuaciones, despejamos [tex]x[/tex] en (1):

[tex]x = \frac{2}{3}\cdot y[/tex]

Y la aplicamos en (2):

[tex]\frac{2}{3}\cdot y^{2} = 3456[/tex]

[tex]y^{2} = 5184[/tex]

[tex]y = 72[/tex]

El precio del saco del azúcar es de 72.

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer:  (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

[tex]CBD = ABD[/tex]

and

[tex]CBD + ABD = 90[/tex]

Substitute CBD for ABD in [tex]CBD + ABD = 90[/tex]

[tex]CBD + CBD = 90[/tex]

[tex]2CBD = 90[/tex]

Divide both sides by 2

[tex]\frac{2CBD}{2} = \frac{90}{2}[/tex]

[tex]CBD = \frac{90}{2}[/tex]

[tex]CBD = 45[/tex]

Hence, it is proved that [tex]CBD = 45[/tex]

Follow the above explanation and use it to answer your question properly

|y+2| = 6

There are 2 cases possible -

1st case -

y + 2 = 6

y = 6 - 2

y = 4

2nd case -

- ( y + 2 ) = 6

- y - 2 = 6

- y = 6 + 2

- y = 8

y = -8

Answer:

13 favors

Step-by-step explanation:

Roll of ribbon = 4 1/3 feet long.

favor = 1/3 feet of ribbon

How many favors can she make?

Number of favors = Total roll of ribbon / length of each favors

= 4 1/3 feet ÷ 1/3 feet

= 13 / 3 × 3 / 1

= (13 × 3) / (3 × 1)

= 39 / 3

= 13

Number of favors = 13

Allison can make 13 favors from 4 1/3 feet of ribbon each of 1/3 feet

Answer:

D...

Step-by-step explanation:

Thats on mine and got it right

Answer:

3.5 pounds for 14 people

Step-by-step explanation:

Given

1 pound = 4 people

Required

Determine the pounds for 14 people

Represent this with x; so, we have:

[tex]1\ pound = 4\ people[/tex]

[tex]x = 14\ people[/tex]

Cross Multiply

[tex]x * 4 = 1 * 14[/tex]

[tex]4x = 14[/tex]

Solve for x

[tex]x = 14/4[/tex]

[tex]x = 3.5[/tex]

Hence, 3.5 pounds for 14 people

Answer:

(c) is the Correct answer of this

Step-by-step explanation:

First divide both sides by 2

then apply (a+b)^2 = a^2+b^2+2ab formula

solve quadratic equation

then apply discriminant formula

Hope you get it dear ☺️

Answer:

the answer is c

Step-by-step explanation:

when looking at the graph you can see the intersection point which is (4,3) and at 4 months they were both 3 pounds. at the point of intersection they were the same age and same weight.

Answer:

Y is 4 and slope is 2

Step-by-step explanation:

the red line hits 4 and the sope is the other number that the red line hits which is 2

Answer:

nah

Step-by-step explanation:

but search up a tutorial that helps me