a new deluxe car travels one eith furthe than the normal car which travels 40 miles.on a gallon of fuel how far will the delue car travel

Answers

Answer 1

Answer: we need to know how much the new car travels by each gallon, but for the time being we know that the old car travels 40 miles, and the new car travels 1/8 further, so we calculate:
40*(1/8) = 5
therefore the new car travels 5 further miles than the older car

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Which equation shows an example of the associative property of addition?a.(–4 + i) + 4i = –4 + (i + 4i)
b.(–4 + i) + 4i = 4i + (–4i + i)
c.4i × (–4i + i) = (4i – 4i) + (4i × i)
d.(–4i + i) + 0 = (–4i + i)

Answers

The associative property states that we can regroup the terms of an expression and obtain the same result.

We have then:

$a + (b + c) = (a + b) + c$

The expression that complies with this property is given by:

$(-4 + i) + 4i = -4 + (i + 4i)$

Answer:

An equation that shows an example of the associative property of addition is:

a. (- 4 + i) + 4i = -4 + (i + 4i)

The correct option is $\boxed{\bf option (a)}$ i.e., $\boxed{\left({-4+i}\right)+4i=-4+\left({i+4i}\right)}$ .

Further explanation:

Concept used:

The associative property of the addition states that the addition of numbers cannot affect by the grouping of the number.

$\boxed{A+\left({B+C}\right)=\left({A+B}\right)+C}$

Here, in the above equation the value of $A+\left({B+C}\right)$ is always equal to the value of $\left({A+B}\right)+C$ whether the grouping of number is changes or not.

Calculation:

Now check the option to get the answer.

First check option (a)

$\left({-4+i}\right)+4i=-4+\left({i+4i}\right)$

In the above equation the grouping of the number is changed.

Now check the values of left hand side and right hand side.

$\begin{aligned}\left({-4+i}\right)+4i&=-4+\left({i+4i}\right)\n-4+5i&=-4+5i\end{gathered}$

The value of LHS is same as RHS.

Therefore, option (a) is correct.

Now check option (b)

$(-4+i)+4i=4i+(-4i+i)$

The term $i$ should be associated with $4i$ but it is associated with $-4i$ .

Therefore the option (b) is incorrect.

Now check option (c)

$4i* (-4i+i)=(4i-4i)+(4i* i)$

The above expression does not follow any property.

Therefore the option (c) is incorrect.

Now check option (d)

$(-4i+i)+0=-4i+i$

The above expression follows additive property not associative property.

Therefore the option (d) is incorrect.

Thus, the correct option is $\boxed{\bf option (a)}$ i.e., $\boxed{\left({-4+i}\right)+4i=-4+\left({i+4i}\right)}$ .

Learn more:

1. A problem on simplification: brainly.com/question/573729

2. A problem on domain and range: brainly.com/question/3412497

Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Simplification

Keywords: Associative property, equation, property, addition, associative property of Addition, additive property, grouping terms, left hand side, right hand side, LHS, RHS.

solve quadratic equation by factoring How do you do it 3k^2 + 72 = 33k

Answers

its going to be 33k -9k= 24k divided by 72 is 3. u do 72 ÷ 24 = 3

(07.02 MC)An equation is shown below:

5(3x − 4) = 1

Which of the following correctly shows the first two steps to solve this equation?

Step 1: 15x − 20 = 1; Step 2: 15x = 21
Step 1: 15x − 4 = 1; Step 2: 15x = 5
Step 1: 8x + 1 = 1; Step 2: 8x = 0
Step 1: 8x − 9 = 1; Step 2: 8x = 10

Answers

the first choice is your correct answer :)

Answer:

The first choice is the correct answer

Step-by-step explanation:

a taxi driver charges a fixed rate of r to pick up a passenger.in addition, the taxi driver charges a rate of m for each mile driven.write a formula to represent t, the total amount this taxi driver will charge for a trip of n miles

Answers

The formula is: t = r + mn. This represents that the total (t) is the fixed rate (r) plus the charge per mile (m) for the number of miles (n).

What is the area of a rectangle with vertices at (4, 3), (11, 3), (11, 9), and (4, 9)?

Answers

Answer:

The area of a rectangle is 42 units ².

Step-by-step explanation:

As the diagram is given below.

Distance Formula

$Distance\ formula = \sqrt{(x_(2)-x_(1))^(2)+(y_(2)-y_(1))^(2)}$

As the rectangle with vertices at A (4, 3), B(11, 3),C (11, 9), and D (4, 9).

Take A (4, 3) to B(11, 3)

$AB = \sqrt{(11-4)^(2)+(3-3)^(2)}$

$AB = \sqrt{(7)^(2)+(0)^(2)}$

$AB = √(49)$

$√(49) =7$

AB = 7 units

As take B(11, 3) to C (11, 9).

$BC = \sqrt{(11-11)^(2)+(9-3)^(2)}$

$BC = \sqrt{(0)^(2)+(6)^(2)}$

$BC = √(36)$

$√(36) =6$

BC = 6 units

As take C (11, 9) toD (4, 9).

$CD = \sqrt{(4-11)^(2)+(9- 9)^(2)}$

$CD = \sqrt{(7)^(2)+(0)^(2)}$

$CD = √(49)$

$√(49) =7$

CD = 7 units

As take D (4, 9) to A (4, 3)

$DA = \sqrt{(4-4)^(2)+(3-9)^(2)}$

$DA = \sqrt{(0)^(2)+(-6)^(2)}$

$DA = √(36)$

$√(36) =6$

DA = 6 units

Thus

AB = DC= 7 units

AD = BC = 6 units

Formula

Area of rectangle = Length × Breadth

Length = 7 units

Breadth = 6 units

Put value in the above

Area of rectangle = 7 × 6

= 42 units ²

Therefore the area of a rectangle is 42 units ².

This is rectangle ABCD, where coordinates of the vertices are: A ( ( 4, 3 ); B ( 11, 3 ); C ( 11, 9 ) and D ( 4, 9 ). The area of the rectangle is: A = L x W ( L - length and W - width ). Length = AB = 11 - 4 = 7. Width = BC = 9 - 3 = 6. Finally: A = 7 * 6 = 42. Answer: The area of a rectangle is 42. Hope this helps. Let me know if you need additional help!

Find the value of each of the following:125% of 4 hours 40 minutes

Answers

Answer:

The value of each of the numbers is 125% of 4 hours 40 minutes is equal to 5 hours 50 minutes.

If this helped you let me know. If not, I will improve and make sure my work is correct. Have a nice day!

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