Use the graph to complete the statements about the data of a car’s hourly journey.
Hours have the same total miles.
After 4 hours, the total distance traveled was miles.
The graph shows that between hours 3 and 4, the car .

Step-by-step explanation:

Let x be the price of an adult ticket.

Then 0.5x is the price of a child ticket.

We have 2x + 4(0.5x) = £152, therefore 4x = £152 and x = £38.

Hence the price of an adult ticket is £38.

Answer:

Step-by-step explanation:

2a+4c=152

2c=a

4c+2a=152

2c-a=0

Use simultaneous equation

Substitute 2c=a

                  c=a divided by 2 in the first equation and find value of a and c

Answer:

I think 0.06

Step-by-step explanation:

Responder:

14x - 40 = 310

Explicación paso a paso:

Dado que:

El baloncesto cuesta 10 € menos que un balón de fútbol

10 balones de fútbol y 4 de baloncesto cuestan 310 €

Para formar una ecuación:

Deje que el costo de:

Balón de fútbol = x

Costo del baloncesto = x - 10

Por lo tanto,

Costo de 10 balones de fútbol = 10 * x = 10x

Costo de 4 pelotas de baloncesto = 4 * (x - 10) = 4x - 40

Coste total :

Coste del balón de fútbol + coste del baloncesto = 310 €

10x + 4x - 40 = 310 €

14x - 40 = 310

14x = 310 + 40

14 veces = 350

x = 25 € = coste del balón de fútbol

Coste del baloncesto = 25 € - 10 € = 15 €

Answer:

17 to 12

Step-by-step explanation:

it's monkeys to chimps

Answer:

y = 18

Step-by-step explanation:

Given

f(x) = 2x² ( substitute x = 3 )

y = f(3) = 2(3²) = 2(9) = 18

Answer:

138 feets

Step-by-step explanation:

Given that :

Angle of depression (α) = 16°

Elevation = height = 450 feets

Appling trigonometry :

From the picture attached :

Height / elevation = 450 feets (Adjacent)

Distance = d (opposite)

Tan α = opposite / Adjacent

Tan 17 = d / 450

450 tan17 = d

450 * 0.3057306 = d

d = 137.57880

Hence, distance between a point on the ground directly below the helicopter and the landing pad 138 feets

The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

Given that,

The helicopter is flying at an elevation of 450 feet.

It is within sight of the landing pad and the pilot finds that the angle of depression to the landing pad is 16∘.

We have to determine,

The distance between a point on the ground directly below the helicopter and the landing pad.

According to the question,

The angle of depression =  16°,

Elevation = height = 450 feet

And d is the distance,

The angle of depression is an important component used in trigonometric operations.

The angle of depression is formed when the observer stands on a ground higher than the object which he is trying to observe.

Therefore, The angle of depression is,

[tex]Tan16 = \dfrac{d}{450}\\\\0.28 = \dfrac{d}{450}\\\\d = 450 \times 0.28\\\\d = 129.03 \ feet[/tex]

Hence, The distance between a point on the ground directly below the helicopter and the landing pad is 129.03 feet.

To know more about Trigonometry click the link given below.

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Answer:

Step-by-step explanation:

It’s 88

Step-by-step explanation:

4 bags of bananas for $22.52

=> 2 bags of bananas for $22.52 * 2/4 = $11.26.

Hence it would cost $11.26.

Answer:

Total cost= $975

Step-by-step explanation:

Giving the following information:

Total cost= 100 + 5*n

n= number of students

The $100 is a fixed cost. It remains constant no matter the number of students. The $5 is the unitary variable cost. The total variable cost increases with the number of students.

Total cost for 175 students:

Total cost= 100 + 5*175

Total cost= $975

Answer:

if you are solving for x, x=-36/5+6y/5

if you are solving for y, y=6+5x/6

Step-by-step explanation:

Answer:

The answer is D.

Step-by-step explanation:

In a parallelogram, lengths are parallel to each other so we can assume that AB is parallel to CD and AD is parallel to BC. In order to find the value of x and y, you have to compare the expressions :

AB // CD

x - 2 = 24

x = 26

AD // BC

y = 11

Answer:

90mph

Step-by-step explanation:

Answer:

90 miles per hour

Step-by-step explanation:

810 / 9

Answer:

y = (1/2)x - 5

Step-by-step explanation:

The slope of the line y = -2x + 5 is -2.  The slope of any straight line perpendicular to this line is therefore the negative reciprocal of -2, which comes out to +1/2.

Using this fact, and the point (2, -4), we write out the slope-intercept form y = mx + b, and substitute the appropriate values:

-4 = (1/2)(2) + b

Then:

-4 = 1 + b, which yields b = -5

Thus, the desired equation is     y = (1/2)x - 5

Answer:

Javier walks more steps than ebony given the same minutes

Step-by-step explanation:

Javier records a walk of 6000 steps in 50 minutes.

Ebony describes her step rate with the equation y=118x

Where,

y = number of steps

x = number of minutes she walks

Javier and Ebony each walk a total of 5 hours. Who walks more steps?

5 hours = 5 × 60 minutes

= 300 minutes

Javier records a walk of 6000 steps in 50 minutes.

6000 : 50 minutes = x : 300 minutes

6000/50 = x / 300

Cross product

6000 * 300 = 50 * x

1,800,000 = 50x

x = 1,800,000 / 50

= 36,000

x = 36,000

Javier walks 36,000 steps

Ebony describes her step rate with the equation y = 118x

x = 300 minutes

y = 118(300)

= 35,400

y = 35,400

Ebony walks 35,400 steps

Therefore,

Javier walks more steps than ebony given the same minutes

The distance between a boat and a cliff is 129 feet.

The trigonometric functions are used to determine the distance and angle in real-life situations.

Consider the following diagram.

Let the distance between a boat and a cliff be [tex]x[/tex].

[tex]tan25^{o}=\frac{40}{x}[/tex]

[tex]x=\frac{35+25}{tan25}[/tex]

[tex]x=\frac{60}{0.4663}[/tex]

[tex]x=128.67[/tex]

Therefore, the distance between a boat and a cliff is 129 feet.

Learn more about trigonometry here-

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Answer:

D

Step-by-step explanation:

-1,3

4,-7

-7-3=-10

4--1=5

-10/5=-2

Answer:

his total bill would be 698.75

Step-by-step explanation

you only did half of the problem lol.

48.75 is just the sales tax. to get the total bill, you need to add 650 to 48.75 because 650 is the actual price of the TV

hope this helps :)

Answer:

This is an percentage change question to calculate this, simply:

7.5% * 650 is 48.75 (You are correct here)

But the question

asks for) "Jackson' total bill) therefore its 48.75 + 650 = 698.75

Cheers! :)

Answer:

29571 is the answer welcome!!

To Find :

The value of side CD.

Solution :

Applying Pythagoras theorem in ΔABC :

[tex]AC^2 + CB^2=AB^2 \\\\AC^2 + CB^2 = 13^2[/tex]     ....1)

Applying Pythagoras theorem in ΔACD and ΔCDB :

[tex]AD^2 + CD^2 = AC^2[/tex]     ....2)

[tex]CD^2 + DB^2 = CB^2[/tex]     ....3)

Adding equation 2 and 3, we get :

[tex]AC^2 + CB^2 =AD^2 + 2CD^2 + DB^2[/tex]   ...4)

Solving equation 1) and 4), we get :

[tex]AD^2 + 2CD^2 + DB^2 = 13^2\\\\9^2 + 2CD^2 + ( 13 - 9 )^2 = 13^2\\\\2CD^2 = 72\\\\CD = 6[/tex]

Therefore, length of CD is 6 .

Answer:

1.8 quartz of 80% solution and

0.9 quarts of 20% solution.

Step-by-step explanation:

Given that:

Total alcohol solution to be made = 2.7 quarts of 60% solution

Alcohol concentration in first solution= 80%

Alcohol concentration in second solution = 20%

To find:

How much of each solution must Jim use?

Solution:

Let amount of first solution to be used = [tex]x[/tex] quartz

Total amount is given as = 2.7 quarts

So, amount of second solution to be used = (2.7 - [tex]x[/tex]) quartz

As per question statement, we can write the following equation:

[tex]80\%\ of\ x +20\%\ of\ (2.7-x) = 60\%\ of\ 2.7\\\Rightarrow \dfrac{80}{100} x +\dfrac{20}{100} (2.7-x) = \dfrac{60}{100}\times 2.7\\\Rightarrow 4x+2.7-x =3\times 2.7\\\Rightarrow 3x=2\times 2.7\\\Rightarrow \bold{x =1.8\ quartz}[/tex]

First solution, 80% solution to be used = 1.8 quartz

Second solution, 20% solution to be used = 2.7 - 1.8 = 0.9 quartz

9514 1404 393

Answer:

  0.40 W/(m·K)

Step-by-step explanation:

Units of thermal conductivity are ...

  W/(m·K)

The length dimension in the denominator comes from the ratio of area to thickness. That is, we can compute the thermal conductivity from ...

  (62 W)(0.163m)/(1.1 m²·23K) ≈ 0.40 W/(m·K)

Answer:

$105

Divide 85 by 17 which equals 5 so each sandwich cost $5. Then multiply 21 by 5 which is 105.

Answer:B

Step-by-step explanation:

Answer:

B y-5=- 3/4(x-2)

Step-by-step explanation:

Answer: the first one

Step-by-step explanation: 9/15 is indeed less than 4/5 which u can make 12/15

Answer: -64

Step-by-step explanation:

flip the fraction, and then change the sign so it turns into multiplication.

-8 x 8

multiply them after that.

-64

Answer:

The probability that a data value in a normal distribution is between a

z-score of -1.32 and a z score of 1.32 is 81.3%

Option D is correct.

Step-by-step explanation:

We need to find the probability that a data value in a normal distribution is between a  z-score of -1.32 and a z score of 1.32.

We can write it as P(-1.32 < Z < 1.32)

It is equal to : [tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))[/tex]

Looking at z-score tables to find value of z=1.32 and z=-1.32

P(Z<1.32)= 0.90658

P(Z<-1.32) = 0.09342

Putting values and finding answer

[tex]P(-1.32 < Z < 1.32)= P(Z<1.32)-P(Z<(-1.32))\\ P(-1.32 < Z < 1.32)=0.90658-0.09342\\P(-1.32 < Z < 1.32)=0.81316\\P(-1.32 < Z < 1.32)=81.3\%[/tex]

So, the probability that a data value in a normal distribution is between a

z-score of -1.32 and a z score of 1.32 is 81.3%

Option D is correct.

Answer:

the increase is by 2

Step-by-step explanation:

You can add 17 plus 2 or subtract 17 from 19.

Answer:

2?

Step-by-step explanation:

Answer:

3.42 to the -8 power

Step-by-step explanation:

Answer:

Perimeter = 6x + 5.

Step-by-step explanation:

The perimeter is the sum of the three sides.

Perimeter = 3x - 2 + (-5x) + 8x + 7

= 3x - 2 - 5x + 8x + 7

= 3x - 5x + 8x - 2 + 7

= 6x + 5.

Answer:

8% compounded monthly has higher yield

Step-by-step explanation:

Here, we want to compare which of the two options would give a higher yield

An interest rate of 8% compounded monthly or 8% compounded annually

Let us say we are looking at a time frame of two years

If compounded monthly, since there are 12 months in a year, there would have been a compounding of 12 * 2 = 24 times

While if it is annual, we would have only twice

The higher the number of times we compound, the more the return