7. The speed of one car is 20% less than the speed of a second car. What per cent more time does the first car need to travel the same route as the second car?

Answer:

Please see the attached picture for the full solution.

9514 1404 393

Explanation:

Substituting the cut line into the curve equation, we have ...

  x(x+10) = 11x +5

In standard form this is ...

  x^2 -x -5 = 0

The sum of the two roots of this equation is the opposite of the x-coefficient*, so is -(-1) = 1. Then the midpoint between the points of intersection has an x-coordinate of ...

   (root sum)/2 = 1/2

__

The midpoint y-coordinate will be the y-value on the cut line, so is ...

  y = x + 10 = (1/2) +10 = 10.5

Then the midpoint of AB is C(0.5, 10.5). This is easily shown to lie on the line ...

  x + y = 11

  0.5 + 10.5 = 11

_____

* The factored form of a monic polynomial can be expanded to show this:

  (x -a)(x -b) = x^2 -(a+b) +ab

That is, the sum of the roots a and b is the opposite of the x-coefficient.

Step-by-step explanation:

Arithmetic sequence and 2.

The given sequence 3, 5, 7 is an arithmetic sequence.

The common difference is 2.

It is a sequence where the difference between each consecutive term is the same.

We have,

3, 5, 7

Common difference.

= 5 - 3

= 2

Common difference.

= 7 - 5

= 2

3, 5, 7 is an arithmetic sequence.

Thus,

The given sequence 3, 5, 7 is an arithmetic sequence.

The common difference is 2.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

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Answer:

Greater number is 24 and smaller number is 18.

Step-by-step explanation:

According to the question first case will be x+y=41 by solving it y=41-x and second case will be x=y-5 put the value of y in second case. The answer will come. (hope you will get it)

Answer:

C. Unnumbered steps

Step-by-step explanation:

Unnumbered steps would not be a characteristic of paragraph proof. This is because it does not come to a conclusion to state a amount or detail.

Answer:

1.) 4x + 36 < 60

2.) The family must spend less than 6 hours in Millersville watching the movie.

Step-by-step explanation:

1.) In order to write an inequality to represent the situation, we need to consider all variables. The main resultant / dependent variable is the money spent. The independent variable is the time.

Let x = time  and y = money spent.

y = mx + b

Since the entrance fee for the movie is $36, we know that the b = 36. Since the rate of change is $4, you know that m = 4. Lastly, since the maximum amount of money the family has is $60, y = 60.

60 = 4x + 36

Finally, since the money spent must always be LESS THAN 60, 4x + 36 < 60

2.) Soling the Inequality:

Firstly, isolate the 4x by subtracting 36 from both sides.

4x + 36 -36 < 60 - 36

4x < 24

Next, divide both side by 4 in order to isolate x. Since 4 is positive, DO NOT flip the less than

4x/4 < 24/4

x < 6

Since x represents the time, time < 6 hours, meaning that the family must spend less than 6 hours in Millersville watching the movie.

Answer:

1. 60>4x+36

2.6>x

Step-by-step explanation:

60 is the total amount of money the family has to spend, they want to spend less than that so...

60 is greater than what they will spend (60>)

the (x) is the amount of hours the family will spend at the city. parking cost 4 so that means 4 dollars per hour.

the 36 is what they have to initially spend to watch the movie

if you subtract both sides of the (>) by 36 you get

24>4x

then you divide both sides by 4 to get the (x) by itself, which gets you

6>x

meaning that the amount of hours the family will spend at the city will have to be 5 hours

correct me if I'm wrong but i believe that this is the correct answer... i double checked

Answer:

the inequality is x  <  − 11 /2

9514 1404 393

Answer:

  Tables 3 and 5

Step-by-step explanation:

The unit rate in each case can be found by dividing the first y-value by the first x-value.

Table 1: 4/3 ≈ 1.333

Table 2: 4/5 = 0.800

Table 3: 18/31 ≈ 0.581

Table 4: 11/18 ≈ 0.611

Table 5: 7/12 ≈ 0.583

The equation has a "unit rate" of 3/5 = 0.600. The tables with lower rates are ...

  Table 3 and Table 5

Answer:

I didn't get the question please explain it

Answer:

Alex would travel 35 miles in 1 hour.

Step-by-step explanation:

If Alex travels 35 miles an hour then he would travel 35 miles in 1 hour. An hour is the same as 1 hour.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

20 miles

Step-by-step explanation:

you can only drive 20 miles in an hour

Answer:

2u + 8

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define

2(u + 4)

Step 2: Expand

Answer:

$70

Step-by-step explanation:

$3500*(2%/100%) = $70

It pretty simple just take 2% and times it by the principle if it's only for one year.

Answer:

possible amounts could be $35, $55, $75

hope this helps!

Step-by-step explanation:

Answer:

75/4=3/100

Step-by-step explanation:

sinple this is on proportion

if you want crisscross the fraction

Answer:

Step-by-step explanation:

Neither

Answer:

the answer is 360 M/S

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

Answer:

here try um well i think 4

Step-by-step explanation:

i dont know i think its just times so 2 times 4 is 8 and 8 is bigger than 7

but i really dont know sorry if im wrong

Answer:

option 1 can not be the solution to your inequality.

Step-by-step explanation:

Answer:

Train time = 6 hours

Truck time = 8 hours

60x = 45x + 90

Step-by-step explanation:

Train speed = 60mph

Truck speed = 45 mph

Let distance covered = d

Let travel time of train = x

Travel time of truck = x + 2

Total distance traveled :

Distance = speed * time

Train distance = truck distance

60 * x = (45 * (x + 2))

60x = 45x + 90

60x - 45x = 90

15x = 90

x = 90/15

x = 6

Train time = 6 hours

Truck time = 6 + 2 = 8 hours

Distance traveled :

60x = 45x + 90

60 * 6 = (45*6) + 90

360 = 270 + 90

360 = 360

Answer:

1. b.(03)

2. A.(6,12)

3. C.(10,-1)

4. (-9,2)

Please mark me BrainIIest

Step-by-step explanation:

1.I will solve your system by substitution.

−x+2y=6;6y=x+18

Step: Solve−x+2y=6for x:

−x+2y+−2y=6+−2y(Add -2y to both sides)

−x=−2y+6

[tex]\frac{-x}{-1} =\frac{-2y}{-1}[/tex] Divide by -1

x=2y−6\

Well I did this problem differently I substitute

Step: Substitute2y−6for x in6y=x+18:

6y=x+18

6y=2y−6+18

6y=2y+12

6y+−2y=2y+12+−2y

4y=12

[tex]\frac{4y}{4} =\frac{12}{4}[/tex]

y=3

Step: Substitute3 for y in x=2y−6:

x=2y−6

x=(2)(3)−6

x=0

Your final answer will be x=0 and y=3

Answer:

The median of any trapezoid has two properties: (1) It is parallel to both bases. (2) Its length equals half the sum of the base lengths.

Step-by-step explanation:  So there were not any choices but the sentence above states the true properties of the median of a trapezoid.  

I hope I helped :)

Answer:

1. sin(Z) = 0.6

2. sin(C) = 0.28

3. cos(Z) = 0.8

4. tan(C) = 0.75

5. tan(50°) = 1.1918

6. cos(40°) = 0.7660

7. sin (25°) = 0.4226

8. sin(75°) = 0.9659.

Step-by-step explanation:

The trigonometric ratios are

[tex]cos \ \theta = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}[/tex]

[tex]sin \ \theta = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]

[tex]tan \ \theta = \dfrac{Opposite \ leg \ length}{Adjacent \ leg \ length}[/tex]

1. The length of the opposite leg to angle Z = 24

The length of the hypotenuse side = 40

∴ sin(Z) = 24/40 = 0.6

2. The length of the opposite leg to angle C = 14

The length of the hypotenuse side = 50

∴ sin(C) = 14/50 = 0.28

3. The length of the adjacent leg to angle Z = 24

The length of the hypotenuse side = 30

∴ cos(Z) = 24/30 = 0.8

4. The length of the opposite leg to angle C = 27

The length of the adjacent leg = 36

∴ tan(C) = 27/36 = 0.75

5. Using the calculator, and rounding the answers to the nearest 10,000, we have;

tan(50°) = 1.1918

6. Using the calculator, and rounding the answers to the nearest 10,000, we have;

cos(40°) = 0.7660

7. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin (25°) = 0.4226

8. Using the calculator, and rounding the answers to the nearest 10,000, we have;

sin(75°) = 0.9659.

Answer:

first is a) option and second is b) option

Answer:

Answer: x = 33, y = 81..........

You can see that the two lateral and vertical sides of the quadrilateral are congruent respectively, meaning that ∠3x = ∠(2x+33).

You also know that 3x + y = 180° since they're supplementary.

To solve for x, just solve the equation I wrote above:

3x = (2x+33)    (subtract 2x from both sides, and that automatically gives you

x = 33               the value)

To solve for y, plug it into the second equation I provided:

3(33) + y = 180

99 + y = 180

y = 81

∴ x = 33, y = 81

Answer:

Sure thing! If you are trying to find the area then multiply the height of the shape by the width, If you are trying to find the perimeter of the shape the add the lengths of all four sides, If you are trying to find the volume of the shape then you need to multiply the length by the width of the shape.

Step-by-step explanation:

Height x width = Area    add the length to all four sides = perimeter    Length x width = Volume

Step-by-step explanation:

g. (1/4 + 1/2) = 3/4

3/4 ÷ 3/2 = 1/2

h. (1/5 - 1/2) = 3/10

3/10 ÷ 3/5 = 1/2

I. (2/5 ÷ 5/6) = 12/25

12/25 × 7/8 = 21/50

Answer: -4

Work: So, to get -4, we need to simplify the equation. If you see any equation with +(- that's subtraction. So, with the rule, this equation is basically 8-12, and that's -4.

Answer:

-4

Step-by-step explanation:

8+(-12)

= 8-12

12-8=4

the answer is -4

Answer:

thanks

Step-by-step explanation:

Answer:

1) 5.75

2) -6.25

3) 3.75

4) -3.5

5) decreased by 3.3 gallons

Step-by-step explanation:

1) [tex] 8 - 2.25 = 5.25[/tex]

2) [tex] - 3\frac{1}{2} + ( - 2\frac{3}{4} )[/tex]

[tex] = > \frac{ - 7}{2} + \frac{ - 11}{4} [/tex]

[tex] = > \frac{ - 25}{4} =6.25[/tex]

3) [tex]1 \frac{1}{4} + 2 \frac{1}{2} [/tex]

[tex] = > \frac{5}{4} + \frac{5}{2} [/tex]

[tex] = > \frac{15}{4} = 3.75[/tex]

4) [tex] - 9.5 + 6 = - 3.5[/tex]

5)

Amount of water collected on a month = 8.4 gallons

Amount of water used in garden = 5.2 gallons

Amount of water used in flowers = 6.5 gallons

Total amount of water used up = 5.2 + 6.5 = 11.7 gallons

Dat gurl saved 8.4 gallons in that month & she used up 11.7 gallons water. So, the rainwater supply was decreased by (11.7 - 8.4) = 3.3 gallons

Answer:

27.5%

Step-by-step explanation:

To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

percent = 22/80 * 100%

percent = 0.275 * 100%

percent = 27.5%

Answer: 27.5%

Since we know the total which is 80 (which would be 100% in percents), and we want to find the percentage of 22 flat brushes.

We want to find 22 out of 80 written as a percent value?You have to convert fraction (ratio) 22 / 80

Answer: 27.5%

Thank you! btw can you please give me brainly :3