the ratio of a shorter walkway to a longer walkway is 3 to 5. the lenght of the sorter walkway is 45 meters. what is the lenght of the longer walkway

Answer:

QS = 30

Step-by-step explanation:

Since R is the mid point QR = RS

Given QR = 6x – 51 and RS = 2x – 7 then

6x – 51 =  2x – 7, isolate like terms

  6x -2x = 51 -7 , combine like terms

        4x = 44, divide both sides by 4

         x = 11

QS = QR + RS

QS = 6x -51 +2x -7 , combine like terms

QS = 8x - 58, substitute x= 11 in the equation

QS = 8*11 -58, multiply 8 and 11

QS = 88 -58

QS = 30

Let the number of accurate answers provided by Tom equal x.

The number of incorrect responses is ten.

Tim receives 4 marks for each right answer.

Marks deducted for wrong answers = 0.

Total Points = 76

When all of the above statements are combined, the equation

76 = 4 x + 10 * 0

4 x = Equals 76.

19 = x

The number of correct answers is 19

The number of incorrect responses equals ten.

Total number of questions = 19 + 10 = 29

Answer:

What can I do for you?

Step-by-step explanation:

A expression having only one term is called monomial.

[tex]Eg:- 3x, { - 4y}^{2} , \frac{3}{2} yz [/tex]

A expression having two terms is called Binomial.

[tex]Eg: 2x - 3y \: , {4x}^{2} + 5zx[/tex]

A expression having three terms is called trinomial.

[tex]Eg: - 3p + 5q - \frac{2}{5} pq[/tex]

Answer:

1h+2

Step-by-step explanation:

(1/2)-(3/2)=-(2/2)=-1

7-9=-2

-1h-2

1h+2

Answer:

1h+2.

Step-by-step explanation:

add up the stuffff$fffffffffff

Yes, 13/19 is a rational number.

All fractionals are rational numbers, making this a rational number. Let me know if you have any questions, thanks!

Answer:

Kylee makes 6 1/2, or 6.5 cups of the cake mixture.

Step-by-step explanation:

She uses double the cake mixture as water. She uses 3 1/4 cups of water, or 13/4 as an improper fraction, so she uses double that of cake mixture, which is 6 1/2, or 26/4 cups of cake mixture.

As a decimal that is 6.5.

Answer:

The slope is 2.

Step-by-step explanation:

You can see on the intercepts that it goes rise 2 and run over 1 which would basically equal to 2.

Step-by-step explanation:

I don't know if it help but here.It's the one that says slope of a line.

The required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Given the amount that steven deposited every month as $200

Let n be the number of months

D = 200 + 5n = 5n + 200

In order to get the amount deposited after 8 months, we will replace n by 8 to have:

D = 200 + 5(n)

D = 200 + 5(8)

D = 200 + 40

D = 240

Hence the required equation is D = 5n + 200 and the amount deposited after 8 months is $240

Learn more here: https://brainly.com/question/2159099

Answer:

A

Step-by-step explanation:

twice of the second angle

2b

15 less than it

2b - 15

that is the first angle

2b - 15 = a

:)

Answer:

x=15/19

Step-by-step explanation:

You have to start by multiplying the denominators by the numerators. I doesn't matter which you do first, as you can see, I chose to multiply the 6 by the 4x first.

Once that is completed, it is a simple matter of rearranging the equation so it begins with x=...

To do this, just subtract 5x and then divide by 19 on both sides to get the final fraction.

I have attached a photograph of my workings.

Answer: x-intercept: y = -7

y-intercept: x = -5

Step-by-step explanation:

Rearrange to standard format: y=mx+b

-7x-5y=35

-5y= +7x + 35

y= -(7/5)x -7

b is the y-intercept b=-7

--

Find a value for x that makes y = 0, the x-intercept.

y= -(7/5)x -7

0= -(7/5)x -7

(7/5)x = -7

(5/7)*(7/5)x = (5/7)*(-7)

x = -5, the y-intercept

Answer:

$120.00

Step-by-step explanation:

2000/100 = $20 = 1%

20x12 = $240 = annual intrest = 12m

June 15 - December 15 = 6m

240/2 = $120 for half a year intrest!

Answer:

$120.00

Step-by-step explanation:

Answer:

P < -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 4 to both sides.

Therefore, the answer is P < -1! (Also, the graphed solution is below.)

Answer:

enough to process what a word is

Step-by-step explanation:

Answer:

28 days = 32cm

This is because the data shows that for every 7 days the plant grows 7cm

Answers: The page numbers are 11 and 12

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

Explanation:

Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.

Let,

Adding those two said pages will lead to 23

first + second = 23

(x) + (x+1) = 23

2x+1 = 23

2x = 23-1

2x = 22

x = 22/2

x = 11 is the first page

x+1 = 11+1 = 12 is the second page

Check: 11+12 = 23 which confirms the answers.

Answer:

x=3.375

Step-by-step explanation:

4x+1.5=15

Let the missing Angle be " x "

We know that Measure of an exterior angle of a triangle is equal to sum of the opposite two interior angles,

that is :

value of missing angle = 20°

Answer:

The answer is angle 4.

Step-by-step explanation:

Complimentary angles add up to 90°. So when it says what is the complimentary angle to angle 5, they want to know which angle will add up to 90° along with angle 5. We know that angles 1 and 3 are congruent and that angle 2 and angles 4+5 are congruent. Therefore angles 4 and 5 must add up to 90°.

Answer:

x = 26/45

Step-by-step explanation:

Answer:

Given Question

Solve for x :

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex] \green{\large\underline{\sf{Solution-}}}[/tex]

Given expression is

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3} = \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

[tex]\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} = \dfrac{5 - 9x}{6}[/tex]

[tex]\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x - 21 = 5 - 9x[/tex]

[tex]\rm :\longmapsto\:19x + 9x = 5 + 21[/tex]

[tex]\rm :\longmapsto\:28x = 26[/tex]

[tex]\rm :\longmapsto\:x = \dfrac{26}{28} [/tex]

[tex]\bf\implies \:x = \dfrac{13}{14} [/tex]

Consider LHS

[tex]\rm :\longmapsto\:\dfrac{3x - 5}{2} + x + \dfrac{2x - 3}{3}[/tex]

On substituting the value of x, we get

[tex]\rm \:  =  \: \dfrac{\dfrac{39}{14} - 5}{2} + \dfrac{13}{14} + \dfrac{\dfrac{13}{7} - 3}{3}[/tex]

[tex]\rm \:  =  \: \dfrac{39- 70}{28} + \dfrac{13}{14} + \dfrac{13 - 21}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31}{28} + \dfrac{13}{14} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ - 31 + 26}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -5}{28} - \dfrac{8}{21}[/tex]

[tex]\rm \:  =  \: \dfrac{ -15 - 32}{84}[/tex]

[tex]\rm \:  =  \: - \: \dfrac{47}{84}[/tex]

Consider RHS

[tex]\rm :\longmapsto\: \dfrac{5}{6} - \dfrac{3x}{2} [/tex]

On substituting the value of x, we get

[tex] \rm \:  =  \: \dfrac{5}{6} - \dfrac{39}{28} [/tex]

[tex] \rm \:  =  \: \dfrac{70 - 117}{84}[/tex]

[tex] \rm \:  =  \: - \dfrac{47}{84}[/tex]

Hence, LHS = RHS

Hence, Verified.

Answer:

1. 750/100

h=7.5 in

Answer:

-10 pounds or 10 pounds loss

Step-by-step explanation:

you subreact 10-20 and you get -10

Answer:

Step-by-step explanation:

2+6=8

8x divide by 5=1.6x

4x-3=1x

1.6x=1x

Answer:

Five students wear glasses.

Step-by-step explanation:

20 percent of 25 is 5

We are given that 25 students in the class and 20% wear glasses.

Take 20% of 25 to calculate how many students wear glasses.

[tex]25 \times 20 \%=25 \times 0.20[/tex]

[tex]= 5[/tex]

5 students in class 2-11 wear glasses. Let me know if you have any questions, thanks!