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Answer:

y=-3x+5

bring (4,-7) in other three lines

you will know that it is unreasonable that

-7=-14

-7=-17

-7=14

The equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

Equation for the perpendicular line, the perpendicular lines have opposite-reciprocal slopes.

Now,

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

Equation of a perpendicular line   [tex]y=mx-b[/tex]

Here, [tex]m=[/tex] slope

So,

We have

     [tex]y= \ \frac{1}{3} x-2[/tex]  

Here,

[tex]m = \frac{1}{3}[/tex]

As mentioned above, we have to find the slope of perpendicular,

i.e.

 (slope of perpendicular)  [tex]m[/tex] [tex]=-3[/tex]      

So,

     [tex]y=mx-2[/tex]

[tex]y=(-3)x-b[/tex]

We have

Point [tex](4,-7)[/tex] through which line passes. i.e.

[tex]x=4[/tex]

[tex]y=(-7)[/tex]

Therefore,

    [tex]-7=(-3)*4-b[/tex]

⇒  [tex]b=7-12[/tex]

    [tex]b=(-5)[/tex]

So, Equation of a perpendicular line,

 [tex]y=-3x+5[/tex]

So, Equation of a perpendicular line,  [tex]y=-3x+5[/tex] which is derived from  [tex]y=mx-b[/tex] .

Hence, we can say that the equation for the line perpendicular to the line represented by the equation  [tex]y= \ \frac{1}{3} x-2[/tex]  that passes through the point [tex](4,-7)[/tex] will be  [tex]y=-3x+5[/tex].

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Answer: $994.50

Step-by-step explanation:

From the question, we are informed that the owner created a budget for 150 people to attend the opening, with a per person food cost of $4.25. This means that the total cost to cater for the 150 people will be:

= 150 × $4.25

= $637.5

We are further told that the number of guests attending the opening was 56% more than expected, then the final food cost will be represented by:

= $637.5 + (56% × $637.5)

= $637.5 + (0.56 × $637.5)

= $637.5 + $357

= $994.50

Answer:

170

Step-by-step explanation:

original value = 110

final value = 297

the increase is the difference between both values

increase = final value - original value = 297 - 110 = 187

percentage increase = (increase/original value)*100

= (187/110)*100

=170

Answer:

it is 32units

Step-by-step explanation:

Answer:

Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!

Step-by-step explanation:

Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation

Answer:

1)B

2)G

3)B

4)F

5)D

Answer:

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\-15=35+(-5)(n-1)\\\\-15=35-5n+5\\\\5n=40+15\\\\5n=55\\\\n=11[/tex]

Answer: vertical stretch by 3

Step-by-step explanation:

when g(x) = a*f(x), the graph of g(x) is vertically stretched by a

Answer:

12 over 27 = 4 over 9

Step-by-step explanation:

12 over (12 + 15) = 12 over 27 = 4 over 9

Answer: 3 1/5

Step-by-step explanation:

Answer:

Scale 1: 35ft by 25ft

Scale 2: 56ft by 40ft

Step-by-step explanation:

Given

Rectangle: 7cm by 5cm

Scale 1: 1cm = 5ft

Scale 2: 1cm = 8ft

Required

Determine the scale measurement

For Scale 1:

Actual Measurement

[tex]Length = 7cm[/tex]

[tex]Width = 5cm[/tex]

Scale 1: 1cm = 5ft

To calculate the scale measurement, we have to multiply the actual measurements by 5:

This gives:

[tex]Length = 7 * 5ft[/tex]

[tex]Length = 35ft[/tex]

[tex]Width = 5 * 5ft[/tex]

[tex]Width = 25ft[/tex]

So, the new measurement is 35ft by 25ft

For Scale 2:

Actual Measurement

[tex]Length = 7cm\\Width = 5cm[/tex]

Scale 2: 1cm = 8ft

To calculate the scale measurement, we have to multiply the actual measurements by 8:

Scale Measurement:

[tex]Length = 7 * 8ft[/tex]

[tex]Length = 56ft[/tex]

[tex]Width = 5 * 8ft[/tex]

[tex]Width = 40ft[/tex]

So, the new measurement is 56ft by 40ft

Answer:

c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

Side = 9 cm

Volume of cube = side³

                           = 9³

                           = 9 * 9 *9

                           = 729 cubic cm

Answer:

0.000729 [tex]m^{3}[/tex]

Step-by-step explanation:

Before solving, make sure to know what is being asked. The question is asking for the answer in cubic meters ([tex]m^{3}[/tex]), but the given is in cm. Let's convert 9 cm to meter first.

Take note that 1 cm is 0.01 meter, so:

9 cm is 0.09 meter

Next, remember the formula for the volume of a cube: V = [tex]a^{3}[/tex], where V is equal to volume and [tex]a^{3}[/tex] refers to the side of the cube multiplied three times.

V = 0.09 m x 0.09 m x 0.09 m

V = 0.000729 [tex]m^{3}[/tex]

Answer:

C+7d

5+7(8)

5+56=61

Step-by-step explanation:

Answer: 61

Step-by-step explanation:

This is an algebraic equation. You need to replace the variables with their values.

Step 1: Given c=5 and d=8.

5 + 7*8

Step 2: Solve the equation. Following the rules of PEMDAS, first multiply the 7 times the 8. Then, add 5 to that.

7 * 8 = 56

5 + 56 = 61

Choice D. Because in an arithmetic sequence, you add some value that we call common difference to the preceding term in order to get the proceeding term. Choice D looks like it because it starts at 5 and we add 6 to it it'll be 11 and another 6 it'll be 17 and so on.

Answer:

B

Step-by-step explanation: the common difference is 2.7

Answer:

Lili's CD be worth at the end of 3 years is $2714.23

Step-by-step explanation:

Lili deposit $2500 at the Annual percent rate 2.75% and for 3 years compounded quarterly.

Let's use formula

A = p[tex](1+\frac{r}{n} )^{n*t}[/tex]

From the given information

p=2500

r =0.0275

t=3

n=4

Plug in these values into the formula

A=2500[tex](1+\frac{0.0275}{4})^{4*3}[/tex]

Simplify the right side of the equation,

A=$2714.23

Answer:

y = x + 3

y = 5x + 13

Answer:

m=(c-0.15)/0.26

Step-by-step explanation:

c=0.41+0.26m-0.26

0.26m=c-0.15

m=(c-0.15)/0.26

Answer:

1: 300 miles/hour; 2: 5$/hour; 3: 10$ sales price/20$ retail price.

Step-by-step explanation:

1: You have to find the amount of distance traveled per hour.

Answer: 300 miles per hour.

2. You have to find the amount of money earned per hour.

Answer: 5$ per hour.

3: You have to find the sales price per retail price.

Answer: 10$ of sales price per 20$ of retail price.

Answer:

182i2j3jdii32i3i38839393838383383 yan yung sagot pasalamat ka nalang mamaya

Step-by-step explanation:

hakdog ses dog

Answer:

Step-by-step explanation:

Let's solve for w.

s=a+lw

Step 1: Flip the equation.

lw+a=s

Step 2: Add -a to both sides.

lw+a+−a=s+−a

lw=−a+s

Step 3: Divide both sides by l

[tex]\frac{lw}{l} =\frac{-a+s}{l}[/tex]

Answer:

GIVE ROBUX FIRST

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

Answer:

the answer is -11

Step-by-step explanation:

putting the value of x in the equation:-

7+6(-3)

7+(-18)

7-18

-11

Answer: 85%

Step-by-step explanation:  

It all adds up to a total of 85 cents, and since there are 100 cents in a dollar, 85 cents equals 85% of a dollar.

Hope that helps!

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

Answer:

the awnser is C because the other awnsers don't exactly make sense

Step-by-step explanation:

just kinda mental math

Answer:

so the answer isnt c so if i had to make an educated guess its d

Answer:

Search it up

Step-by-step explanation:

GO ON GOOGLE sorry i couldnt help :(

Answer:

64

Step-by-step explanation:

10=-6+u/4

+6 both sides

16=u/4

times both sides by 4

64=u

Answer: (3−7)(+3)

Step-by-step explanation:

Answer:

60 miles.

Step-by-step explanation:

5/8=x/96

8x=480

x=60