A car travels the first 50km of its journey at an average speed of 25m/s and the next 120km at an average speed of 80km /h . The car completes the last part of its journey at an average speed of 90Km/h in 35 minutes . Find the average speed for its entire journey , giving your answer in km/h
Step by step

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

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https://brainly.com/question/5281177

Answer:

D) x^2 + 8x - 33

Step-by-step explanation:

I took the quiz and got a 100%

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

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: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:A

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

Check out the solution

Answer:9:6

Step-by-step explanation:

Step-by-step explanation:

Given equation is 4/(s-3) + (s/2) = -2

=> [(4×2)+s(s-3)]/2(s-3) = -2

=> (8+s²-3s)/(2s-6) = -2

=> 8+s²-3s = -2(2s-6)

=> 8+s²-3s = -4s+12

=> s²-3s+8+4s-12 = 0

=> s²+s-4 = 0

The standard form is s²+s-4 = 0

Answer:

98

Step-by-step explanation:

Answer:

4.4

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

9 + 18 = 27

9 x 2 = 18

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:

Step-by-step explanation:

gradient = y2-y1/x2-x1

-6-0/4-12

-6/-8

=3/4

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

Answer:

8/9

Step-by-step explanation:

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

This is a Reflection :) Have a great day !

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:

1

Step-by-step explanation:

[tex] {3}^{2} \div 9 = \\ =(3 \times 3) \div 9 \\ = 9 \div 9 \\ = 1 [/tex]

Moga Membantu ^-^

Answer:

The solution is 1

Step-by-step explanation:

3²÷9

= 9÷9

= 1

[tex](5^{4} *\frac{1}{b^{10} }) ^{-6}[/tex]

[tex](\frac{5^{4} }{b^{10} } )^{-6}[/tex]

[tex]\frac{b^{60} }{5^{24} }[/tex]

Answer:

y = -1/2x + b  meaning f(x) = -1/2x + b

Step-by-step explanation:

Use two points on the graph that you can find the value of  or use Slope = raise/run

let use points (2,0) and (0, 1)

slope = (change in the y-value)/(change in the x-value.

slope = (1 - 0)/(0 - 2)

slope = 1/-2 or -1/2

Or starting at point (2, 0) the run(x movement) = -2 and the raise is 1.

slope = raise/run

slope =  1/-2 or -1/2

Using one point (2,0) and the slope of -1/2, substitute into the slope intersect form, y = mx + b, and solve for "b" .

y= mx + b

0 = -1/2(2) + b

0 = -1 + b

1 = b

Now write your equation: y = mx +b where m = -1/2 and b = 1

y = -1/2x +b

Answer:

7/16

Step-by-step explanation:

please give brainliest

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:

y = 140

Step-by-step explanation:

you'd do:

y=25(7)-35

y=175-35

y=140

to double-check your math:

140 = 25(7)-35

both sides will equal 140 (or the same value) if done properly

Answer is in picture below

:)