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You 495 miles from home and you are driving toward home at an average of 45mph. How long will it take to drive home if you maint

Karo-lina-s [1.5K]

I hope this helps you

Distance=speed.time

495=45.t

t=11

5 0

3 years ago

Read 2 more answers

Which difference is about 10?

Helga [31]

Option B is the answer.

70.9 - 58.7

4 0

3 years ago

Which of the following is a binomial with degree 4?

wel

Answer:

the answer is A

Step-by-step explanation:

hope it's help

4 0

3 years ago

What does (d+3) represent in 4.5(d+3)=45

Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1: Distribute

$4.5(d + 3) = 45$

$(4.5 * d) + (4.5 * 3) = 45$

$4.5d + 13.5 = 45$

Step 2: Subtract 13.5 from both sides

$4.5d + 13.5 - 13.5 = 45 - 13.5$

$4.5d = 31.5$

Step 3: Divide both sides by 4.5

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

$d = 7$

Step 4: Determine what (d+3) is

$(d + 3)$

$(7 + 3)$

$10$

Answer: (d + 3) would be 10

3 0

2 years ago

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Which inequality is represented by the graph? y≥35x−1.5 y≤35x−1.5 y<35x−1.5 y>35x−1.5

Setler79 [48]

Answer:

y > 0.6x - 1.5

Step-by-step Explanation:

We need two points, to get to the equation of the graph.

Since we've got the following equation for two points (x1, y1), (x2, y2):-

$\boxed{ \mathsf{ \red{y - y_{1} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x - x_{1}) }}}$

okay soo

I found two points that lie on this graph, not on the shaded region but yeah the dotted line which defines the graph.

one point is (0, -1.5) which lies on the y axis(the point where the dotted line touches the y axis)

other point is (2.5, 0) and this lies on the x axis

placing these points in the place of (x1, y1) and (x2, y2) in the above mentioned equation

$\mathsf{\implies y - ( - 1.5) = \frac{0 -( - 1.5)}{2.5 -0 } (x -0 )}$

you can take any one as (x1, y1) or (x2, y2).

so upon solving the above equation we get

$\mathsf{\implies (y + 1.5) = \frac{0 + 1.5}{2.5 } (x )}$

$\mathsf{\implies y + 1.5 = \frac{ 1.5}{2.5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ \cancel{1.5}\:\:{}^3}{\cancel{2.5}\:\:{}^5 } x }$

$\mathsf{\implies y + 1.5 = \frac{ 3}{5 } x }$

multiplying both sides by 5

$\mathsf{5y + 7.5 = 3x}$

okay so this is the required equation of the dotted line

now we'll find the inequality

for this check whether the origin (0,0) lies under the shaded region or not

in this case it does

so

replacing x and y with 0

$\mathsf{\implies5(0) + 7.5 = 3(0)}$

$\mathsf{\implies0 + 7.5 = 0}$

this is absurd, 7.5 is not equal to 0 so we're gonna replace that equals sign with that of inequality

7.5 is greater than 0! so,

$\mathsf{\implies7.5 > 0}$

this goes for the whole equation, since we didnt swap any thing from left to right side of the equation or vice versa we can use this sign, to obtain the required inequality

$\mathsf{5y + 7.5 > 3x}$

dividing this inequality by 5, since there's no co-efficient in front of y in the given answers

we get

y + 1.5 > 0.6x

taking 1.5 to the RHS

that is the last option

5 0

3 years ago

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