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Choose the justification for each step in the solution to the equation 6x - 9 = 45.
Step
Statements
Reasons
6x - 9 = 45
given
2
6x - 9 + 9 = 45 + 9
3
6x = 54
5
x = 9
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
simplification

Answer:

707 feet above sea level

Step-by-step explanation:

2 hours and 25 minutes is about 2.4167 hours.

Therefore:

y=8.77x+686

y=8.77(2.4167)+686

y=21.1944+686

y=707.1944

So the hiker's elevation will be approximately 707 feet above sea level

Answer:

Step-by-step explanation:

easy y is 120

Answer:

1020 students

Step-by-step explanation:

We have the equation y = 0.1x + 18

If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.

120 = 0.1x +18

0.1x = 102

x = 1020 students

Answer:

a=8

c=5.5

Step-by-step explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8

Answer:

6 1/3 Is a mixed fraction

Answer:

I Dont know the answer Sorryyyyyyyyyy

Gwen had 27 bites altogether. She had 15 on her legs and 12 on her arm

An equation shows the relationship between two or more numbers and variables.

Let x represent the mosquito bites on leg and y represent the bites on arms.  She counted 5 mosquito bites on her legs for every 4 bites on her arms, hence:

x/y = 5/4

4x = 5y

4x - 5y = 0     (1)

Also,  Gwen had 3 more mosquito bites on her legs than on her arms, hence:

x = y + 3    (2)

From both equations:

x = 15, y = 12

x + y = 15 + 12 = 27

Gwen had 27 bites altogether

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

46.4%

Step-by-step explanation:

total maths=28

girls in maths = 13

13/28 x 100 = 46.4 %

Answer:

7

Step-by-step explanation:

43.96 divided by 3.14= 14 (diameter)

14 divided by 3= 7 (radius)

Answer:

B) 116°

Step-by-step explanation:

y=180-54-64=62

x=180-62-64=54

62+54=116

Answer:

B 116

Step-by-step explanation:

#platolivesmatter

Answer:

0.85c

Step-by-step explanation:

Given :

Discount on sale = 15%

Price of gift card at discounted price = c - 0.15c

Equivalent expression could be :

(100% - 15%) * price

Price = c

(1 - 0.15)c

0.85c

Answer:

x=9

JKL = 108 degrees

KLJ = 27 degrees

LJK = 45 degrees

Step-by-step explanation:

Add all the values of the triangle angles together to get 20. Then divide 180 by  20 to get 9 (The sum of all the angles in the triangle always equals 180 degrees).

JKL = 12x = 12(9) = 108

KLJ = 3x = 3(9) = 27

LJK = 5x = 5(9) = 45

Hey there I am just telling you , it seems that your questions is incomplete . Can you kindly post the whole question then I am able to solve it.

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Answer:

27

Step-by-step explanation:

200 ÷ 7 = 27

good luck, i hope this helps :)

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

Answer:

4 units left, 5 down

Step-by-step explanation:

Just look at it and count the boxes around

Answer:

30 + 27(w)=189

Step-by-step explanation: w=7 btw (if u need it)

Brainliest?

The required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
A dog walker charges a $ 30 sign-up fee to cover insurance costs and $ 27 per walk.
Let the total cost be t for the w walks.
So, the expression is given as,
t = 27w + 30

Where 27w represents the cost of w walks.

Thus, the required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

Learn more about models here:
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Answer:

x=-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

-4(x - 6) = 2 (7 - 7x)

-4x + (because - and -) 24 = 14-14x

-4x+14x= 14-24

10x= -10 |:10

x= -1

Answer:

b

Step-by-step explanation:

Answer:0.25 or 25%  

Step-by-step explanation:

Answer:

first number is 4

second number is 0

Step-by-step explanation:

y = 1st number

x = 2nd number

system of equations:

5y + 4x = 20

4y + 2x = 16

I multiplied the second equation by -2 to eliminate the 'x-values'

-2(4y + 2x = 16)  =                 -8y - 4x = -32

now add to 1st equation:     5y + 4x = 20

                                              -3y = -12

y = 4

solve for 'x':

5(4) + 4x = 20

20 + 4x = 20

4x = 0

x = 0

Given:

3450 yen is divided in the ratios 2:6:7.

To find:

The difference between the largest share and the smallest share.

Solution:

3450 yen is divided in the ratios 2:6:7. Let the shares are 2x, 6x and 7x.

[tex]2x+6x+7x=3450[/tex]

[tex]15x=3450[/tex]

[tex]x=\dfrac{3450}{15}[/tex]

[tex]x=230[/tex]

Now,

First share is

[tex]2(230)=460[/tex]

Second share is

[tex]6(230)=1380[/tex]

Third share is

[tex]7(230)=1610[/tex]

Here the largest share is 1610 and the smallest share is 460. So, the difference between the largest share and the smallest share is

[tex]1610-460=1150[/tex]

Therefore, the difference between the largest share and the smallest share is 1150 yen.

Answer:

your answer will be A

Step-by-step explanation:

have a nice day/ night

Me ayudas por favor con esto es para Hoy por favor

Answer:

Y = -2

Step-by-step explanation:

Just substitute 9 for x

Answer:

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Step-by-step explanation:

Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:

[tex]20 = a\cdot b^{0}[/tex] (1)

[tex]720 = a\cdot b^{2}[/tex] (2)

By dividing (2) by (1), we obtain the value for [tex]b[/tex]:

[tex]\frac{720}{20} = b^{2}[/tex]

[tex]b = \sqrt{\frac{720}{20} }[/tex]

[tex]b = 6[/tex]

And the value for [tex]a[/tex] is found by (1):

[tex]a = 20[/tex]

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].