Solve -2(2x + 5) - 3 = -3(x - 1) (1 point)

Answer:

There is an initial charge of $35.00 for every mile traveled.

Step-by-step explanation:

From the question, the cost function s given as follows:

c = 0.4x + 35 .................... (1)

Where;

Total cost = c

Variable cost per mile = $0.40

Number of miles traveled = x

Total variable cost = 0.4x = 0.40 * x

Fixed cost = Initial cost = $35

From the above, the fixed cost or initial cost implies that no matter the number of miles a passenger takes, he is going to pay $35 in addition to the variable cost to pay.

From the question, for driving a distance of 100 miles we have:

Number of miles traveled = x = 100

Total variable cost = 0.40 * 100 = 40

Substituting the relevant value into equation (1), we have:

c = 40 + 35

c = 75

Since the total cost obtained above is $75.00, it therefore implies that the correct statement that justifies that the total cost for renting this car and driving a distance of 100 miles is $75.00 is "There is an initial charge of $35.00 for every mile traveled".

Answer:

y = -2x

Step-by-step explanation:

First you can find the difference between the two points to find the slope.

0, 4

- 1, 2

-1, 2

Now divide: y/x = 2/-1 = -2

Slope = -2

Formula: y=mx+b

Plug in the points for the variables.

2 = -2(1) + b

2 = -2 + b

Subtract 2 from both sides to get 0 = b so this line is proportional.

Hope that helps and have a great day!

Answer:

10 - x

Step-by-step explanation:

Answer:

x-10 or 10-x

Step-by-step explanation:

Answer:

20 square units

Step-by-step explanation:

If you were to graph the four points(creating a table on desmos is a good option) you would find that one side is 4 units long and the other is 5 units long. You multiply 4 times 5 to get that the area is 20 units squared. :)

Answer:

20 units²

Step-by-step explanation:

A = 4 × 5 = 20 units²

Answer:

5 is the width.

Step-by-step explanation:

Answer Check:

22 + 22= 44

5 + 5 = 10

44 + 10 = 54

Answer:

SV= 26

VST=40

Step-by-step explanation:

Step-by-step explanation:

We have to find the distance the jogger must travel each minute. The distance covered in one minute is:

d= 3528/1800= 1.96 m

Therefore, the distance covered in one minute, or 60 seconds is:

dt= 1.96 × 60 = 117.6 m

The solution needed is, dt=588/5 = 117 (3/5) m

Answer:

40 miles

Step-by-step explanation:

15 + 0.50m = 25 + 0.25m

0.50m = 10 + 0.25m

0.25m = 10

m = 40

Answer: 105

Step-by-step explanation: 35 divided by 7 = 5 , so one monkey eats 5 bananas. 21 x 5 = 105

Hope this helps!

Answer:

105 bannanas

Step-by-step explanation:

Because if 21 is 3 times more than 7 then you have to multiply 35 times 3 to get the amount of bannanas 3 times more monkeys can eat.

Have a great day!

Answer:

9/8 or 1 1/8

Step-by-step explanation:

Answer:

9/8 or  1  1/8

Step-by-step explanation:

find common denominator, its 8 for this problem so put [tex]\frac{1}{2} = \frac{4}{8}[/tex]

[tex]\frac{5}{8} +\frac{4}{8} = \frac{9}{8}[/tex]

r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .

the angles must be congruent to 2 are 3, 6 , 7

Answer:

r and s are parallel lines so the angle 2 and 6 are called, corresponding angles 2 and 3 are opposite angle but 3 and 7 are also interior corresponding angles so 7 and 3 are congruent, and so are 7 and 2 .

the angles must be congruent to 2 are 3, 6 , 7

Step-by-step explanation:

Answer:

it was first called "pi" in 1706 by William Jones, because pi is the first letter in the Greek word perimitros, which means "perimeter."

Step-by-step explanation:

By Pythagoras' theorem,

12^2 = 11^2 + height^2

height = ±√12^2 - 11^2 (rej -ve value since height > 0)

height = 16.279 (5sf) = 16.3 (nearest tenth place)

Topic: Pythagoras theorem

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

4r^3

Step-by-step explanation:

because the root dived everything into a have

It means that they do not have the proper proportions that they normally would in real life. The drawing might be larger or smaller than the bugs but even then it might have the proper proportions, it is only when it has incorrect proportion sizes, that is is considered "not to scale"

I hope this helps :)

Answer:

That means if you measure the bugs from the chart/paper/assignment, the real bugs aren't that size.

Hope that helps and have a great day!

(If you have any questions let me know)

Answer: D. a reflection across the line x = - 1

Step-by-step explanation:

First, you can see that the lengths of the top and the base of the figure are different, so we can discard the rotations of 180°, because those will give a different figure.

Now, for reflections, we need to reflect the image around a line of symmetry.

A line of symmetry means that the image at the right of the figure is an exact reflex of the image at the left of the figure, for this particular case, we can find a line x = c. Such that the distance between c and the x-component of the top vertexes is the same for both of them.

(Again, because the top and the bottom have different lengths, there is no line y = b such that a reflection across that line will leave the figure invariant)

The left top vertex is at x = -3

The right top vertex is at x = 1.

We can find the mid-value between them as:

c = (-3 - 1)/2 = -2/2 = -1

Then:

-3 - c = -3 - (-1) = -3 + 1 = -2

1 - c = 1 - (-1) = 2

While the numbers are different (in sign) as those represent distance between points, we only care for the absolute value, in that case:

I-2I = I2I

Then the distances are exactly the same, and we can take c = -1

This means that a reflection about the line x = -1 carries the figure onto itself.

Then the correct option is:

D. a reflection across the line x = - 1

Answer:

10.0

Step-by-step explanation:

see attached for reference.

given two points in the x-y axis (x₁, y₁) and (x₂, y₂)

the distance bettween them is given by

Distance, D = √ (    (x₂-x₁)²   + (y₂-y₁)²   )

In our case we are given points (9,10) and (-1,9)

substituting these into the formula , we get:

D = √ (    (9-10)²   + (-1-9)²   )

= √ (    (-1)²   + (-10)²   )

= √ (    1   + 100   )

=√101

= 10.04988

= 10.0 (rounded to nearest tenth)

Answer:

A is correct

Step-by-step explanation:

Answer:

it's A -2/9

Step-by-step explanation:

it's A

it's A

"What is the A.P.R. after the introductory period ?" you find before thinking about signing up.

Thus the response above is right.

Learn more about credit cards here:

https://brainly.com/question/14829559

Answer:I think it c

Step-by-step explanation:

Answer:

Is letter D. X=6.

Step-by-step explanation:

3/4.5= 4/QR

18/3=6

Answer:

3.25

Step-by-step explanation:

thats how absolute value works

Answer: $8

Step-by-step explanation:

96/12=8/1

Answer: first one = 8

              second one = 25

Step-by-step explanation: 96 divided by 12 = 8

                                             125 divided by 25 = 25

Answer:

6.93 so in a mixed number is 693/100

Answer:

The probability that at least 1 car arrives during the call is 0.9306

Step-by-step explanation:

Cars arriving according to Poisson process - 80 Cars per hour

If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67   X ≅ Poisson (λ = 2.67)

Now, we find the probability: P(X≥1)

P(X≥1) = 1 - p(x < 1)

P(X≥1) = 1 - p(x=0)

P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!

P(X≥1) = 1 - e^-2.67

P(X≥1) = 1 - 0.06945

P(X≥1) = 0.93055

P(X≥1) = 0.9306

Thus, the probability that at least 1 car arrives during the call is 0.9306.

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

[tex]c=\sqrt{11^{2}+8^{2} }[/tex]

c=13.6 inches