You have $75 in your bank account. Each week you plan to deposit $8 from your allowance and $25 from your paycheck. The equation b=75+(25+8)w gives the amount b in your account after w weeks. How many weeks from now will you have $270 in your bank account?

The relationship between the cost charged for the daily boarding of dogs

by the kennel is a directly proportional relationship.

The correct responses are;

1. The dog kennel charges $60 per day is; False

Correct statement; The dog kennel charges $30 per day

2. The equation y = 30·x can represent the graph; True

3. It costs $200 to board a dog for 7 days is; False

Correct statement; It costs $210 to board a dog for 7 days

4.The graph will contain the coordinate point (9, 270); True

Reasons:

Points on the graph of the given graph of the Cost to Number of days are;

(2, 60), (4, 120)

The slope of the graph is [tex]m = \dfrac{120 - 60}{4 - 2} = 30[/tex]

Equation of the graph is therefore; y - 60 = 30·(x - 2)

Which gives;

y  = 30·x - 2×30 + 60 = 30·x

The equation of the graph is; y = 30·x

Therefore, the statement;

The cost of the dog kennel a day is given by the value of 'y', when x = 1, as

follows;

Cost per day, y = 30 × 1 = 30

The cost per day = $30 per day

Therefore;

The correct statement is; The dog kennel charges $30 per day

The amount it costs to board a dog for 7 days is y = $30×7 = $210

Therefore, the correct statement is; It costs $210 to board a dog for 7 days

Therefore, the statement; the graph will contain the coordinate point (9, 270) is; True

Learn more here:

https://brainly.com/question/5281177

Answer:

[tex] \frac{2 {a}^{2} }{3 {b}^{3} } \div \frac{6 {a}^{3} }{5 {b}^{2} } = \frac{2 {a}^{2} }{3 {b}^{3} } \times \frac{5 {b}^{2} }{6 {a}^{3} } = \frac{5}{9ab} \\ \\ \frac{ {x}^{2} - 5x + 6}{ {x}^{2} - 6x + 9} + \frac{4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - 5x + 6 + 4x - 12}{{x}^{2} - 6x + 9} \\ = \frac{{x}^{2} - x - 6}{{x}^{2} - 6x + 9} \\ = \frac{(x - 3)(x + 2)}{(x - 3)(x - 3)} \\ = \frac{(x + 2)}{(x - 3)} \\ \\ \frac{3a}{a - b} - \frac{a + 2b}{a - b} \\ = \frac{3a - a + 2b}{a - b} \\ = \frac{2a - 2b}{a - b} \\ = 2\frac{a - b}{a - b} \\ = 2[/tex]

Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question we have

[tex]density = \frac{9}{3} = 3 \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

Given, Associative, Commutative, Associative, Addition

Step-by-step explanation:

-12p + 45 -7p           Given

-12p + (45 - 7p)        Associative

-12p + (-7p + 45)      Commutative

(-12p + -7p) + 45     Associative

-19p + 45                Addition

Answer:

67

Step-by-step explanation:

Are you talking about the console Wii

if so yeah there pretty good

Answer:

Sports

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

read your book so that you can know your book

Answer:

D) x^2 + 8x - 33

Step-by-step explanation:

I took the quiz and got a 100%

This is a Reflection :) Have a great day !

Answer: ∠A ≅ ∠A; reflexive property

Step-by-step explanation: found it online :)

Answer:

480

Step-by-step explanation:

Check out the solution

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

Answer:

It will take the girl 15 seconds to run 100 meters

Step-by-step explanation:

100÷6 2/3 is 15

reverse it to see if your right: 15×6 2/3 is 100

have a good day, sorry if I'm wrong:)

(if I am wrong plz tell me<3)

Answer:A

Step-by-step explanation:

Answer:

because when the value of x is replaced in the factorisation it Will be equivalent to 100

Answer:

4.8-46c+13x

Step-by-step explanation:

Answer is in picture below

:)

X^(16x^2-1) factor the expression

The answer to the graph

X^3(4x-1)(4x+1)

Answer:

8/9

Step-by-step explanation:

[tex]m = \frac{10 - 2}{10 - 1} = \frac{8}{9} [/tex]

Answer:

tổng các góc của tứ giác bằng 360 độ

Step-by-step explanation:

ha? what language is that?

Answer:9:6

Step-by-step explanation:

Answer:

third answer

Step-by-step explanation:

Answer: Multiply the second equation by -2

Explanation:

The elimination method requires you to set one variable in an equation to be the opposite of that variable in another equation.  As such, due to the presence of 2x in the top equation, you need -2x in the bottom.  Then, simply add the equations to get the answer.

Hope it helps :)

Answer:

An expression is in simplest form when no terms can be combined. To express 3 + (2 × 5) in simplest form: First: perform the operation within parantheses. Next: perform the addition. thank me later

Answer:

4.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](x + {46}^{o} ) + {x}^{o} = {90}^{o} \\ {x}^{o} + {46}^{o} + {x}^{o} = {90}^{o} \\ {2x}^{o} + {46}^{o} = {90}^{o} \\ {2x}^{o} = {90}^{o} - {46}^{o} \\ {2x}^{o} = {44}^{o} \\ {x}^{o} = \frac{ {44}^{o} }{2} \\ {x}^{o} = {22}^{o} \\ [/tex]

Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.

Step-by-step explanation:

y coordinate

m = slope

x = x coordinate

b = y intercept

Answer:

1. 4x=36

2. x+3 = 15

Step-by-step explanation:

so for 1 if one cupcake is $4.00 that means multiplying it by x gets you $36.00

and the 4 next to the x means multiplyand x is sam and 15 is marco sam is 3 years younger so x+3=15 and x being 12 <3 hope this helps