Mr. Cooper is building a playset in his backyard for his kids. He has a made a scale drawing of the playset to help him estimate the amounts of building materials he needs to purchase. Part of the playset includes a rectangular sandbox, which has a length of 5 feet and a width of 7 feet. On the scale drawing, the length of the sandbox is 2 A. The scale used in the drawing is
______ = 1 foot.
B. On the scale drawing, the width of the sandbox is ____ inches.
C. If Mr. Cooper decides to make a new scale drawing of the playset, in which he uses a scale of inch = 1 foot, all of the dimensions in the old drawing will be multiplied by a factor of ____
1st blank- 3/8 inch, 11/30 inch, 1/2 inches, 2 inch
2nd blank- 15 inch, 2 1/60, 2 13/16, 3 3/4
3rd blank- 1/2, 1 1/2/2 1/4

.

Answer:

The slope is -1 and the y-intercept is -1 ?

[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]

Answer:

slope -1 and y intercept is -1

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

the last one bottom right

Step-by-step explanation:

well, did it in my head, but the idea is to calculate it out

(x-8)*(x-8)=50

is just

x²-16x+64=50

to get the 64 down to just 5, we need to subtract 59, on both sides, leaving us with -9 on the righthand side

Answer:

no

Step-by-step explanation:

no

Answer:

Y=x^2 -2x + 3

Step-by-step explanation:

it's quadratic like:-)

Answer:

none

Step-by-step explanation:

if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation

because x and y in line two are the same multiple of these in line one (both values are just the half)

plotted with desmoes

Answer:

[tex]m\angle MLK=78^{\circ}[/tex]

Step-by-step explanation:

The Base Angle Theorem states that the base angles of the two equal legs of an isosceles triangle are equal. Since there are 180 degrees in a triangle, we have:

[tex]m\angle MLK+51+51=180,\\m\angle MLK +102=180,\\m\angle MLK=\boxed{78^{\circ}}[/tex]

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

Answer:

x = 4 and y = 8.

Step-by-step explanation:

The given equations are :

-8x+y=-24 ....(1)

and

3x-2y=-4 .....(2)

Multiplying equation (1) by 2.

-16x+2y=-48 ....(3)

Adding equation (2) and (2).

3x-2y+(-16x+2y) = -4-48

3x-16x= -52

-13x = -52

x = 4

Put the value of x in equation (1)

-8(4)+y=-24

-32 + y = -24

y = -24+32

y = 8

Hence, the solutions of the equations are x = 4 and y = 8.

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

What are we solving for;

Equation would be:

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

[tex]\huge\text{Hey there!}[/tex]

[tex]\rm{-2x + 4 > 8}[/tex]

[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]

[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]

[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]

[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]

[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]

[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]

[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]

[tex]\rm{\bold{x < -2 }}[/tex]

[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]

Therefore the slope is -8/3

Answer

Hope this helps! Let me know if you have any doubts.

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]

I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]

2. Plug the values into the formula:

[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3

Answer:

1

[tex] = \frac{45}{100} \times 75 \\ = 33.75[/tex]

2.

[tex] \frac{150}{100} \times 36 \\ = 54[/tex]

3.

[tex] \frac{850}{100} \times 255 \\ = 21675[/tex]

Answer as a fraction = 2/3

Answer in decimal form = 0.667 (approximate)

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

Explanation:

The first thing we need is to find the mean. Add up the values to get 3+3+4+5+5+4 = 24. Then divide by n = 6 since there are 6 values.

24/n = 24/6 = 4

The mean is 4

Now subtract the mean from each value

Apply absolute value to each result so that the difference is not negative.

We get this new list: {1, 1, 0, 1, 1, 0}

Now compute the mean of that new list to get the final answer

1+1+0+1+1+0 = 4

4/n = 4/6 = 2/3 = 0.667 approximately

Answer:

hi how are you

Step-by-step explanation:

hope you are good

Answer:

A) y=3cos(-x)

Step-by-step explanation:

Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

Answer:

2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Calculus

Limits

Limit Rule [Constant]:                                                                                                [tex]\displaystyle \lim_{x \to c} b = b[/tex]

Definition of a Derivative:                                                                                         [tex]\displaystyle f'(x) = \lim_{h \to 0} \frac{f(x + h) - f(x)}{h}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 2x - 5

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

Answer: 3 hours

Step-by-step explanation:

the answer this can be solved by the function:

324 = 27x + 243

-243          -243

27x = 81

/27     /27

x = 3 hours past 7.

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

1. Indian System:-

(a) 23,45,678

(b) 56,78,090

2. International System:-

(a) 234,589

(b) 9,807,062

Answer:

B

Step-by-step explanation:

Answer:

The slope is -2 and the y intercept is -3

Step-by-step explanation:

y = -2x -3

This equation is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -2 and the y intercept is -3

Answer:

125

Step-by-step explanation:

/_ ACB = 180

/_ ACD = 55

/_ ACB is made up of /_ACD and

/_ DCB

Hence, /_ ACB = /_ ACD + /_ DCB

*We then plug in the known values*

180 = 55 + /_ DCB

We now solve for the missing angle

Subtract 55 from both sides

125 = /_ DCB

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)