the thing is in the picture​

1) Gathering the data

Preston

642 miles

38 miles/gallon

15 round trips

1 gallon = $2.48

2) Considering that each round trip consists of 642 miles

So Preston in 15 roundtrips is going to make

15 x 642 miles =9,630 miles

His car gets 38 miles per gallon. So we can write a proportion for that:

38 miles ---------1 gallon

9,630 miles ----- x

Cross multiplying it:

38x = 9,630 Divide by 38

x =9630/38

x=253.42 gallons

Finally, let's set another proportion to find out the cost of it

1 gallon -------------- $2.48

253.42 -------------- y

y= 253.42 x 2.48

y=628.4816

3) Rounding off to the nearest hundredth

$628. 48 That's how much Preston will spend.

Answer:

C

Step-by-step explanation:

Explanation

This is Algeba, an aspect of Math

We are told to find th correct optionthat satisfies the condition of a and b

Given that

a =5 and b =8

To go about this, we will simply substitute a = 5 and b=8 into each of the equation and cross-check the value with 104

Let us check for the first option

Option B

Option C

Option D

Therefore, the anser is

Answer:

196 ft

Step-by-step explanation:

Bc im guessing

Mark as smartest and Brainliest

Answer:

I'll assume that x2 = x^2 and y2 = y^2 and the answer is sqrt{35}.

Step-by-step explanation:

This problem invovles completing the square, so if I square (x+y), I get

x^2+2xy+y^2, and since xy = 6, 2xy = 12, 23+12 = 35, and your answer is sqrt{35}.

well, we know the exchange rate is 1 buck for 73.6500 rupees, well, how many dollars in 401.39 rupees?

\(\begin{array}{ccll} dollars&rupees\\ \cline{1-2} 1 & 73.6500\\ x& 401.39 \end{array} \implies \cfrac{1}{x}~~=~~\cfrac{73.6500}{401.39} \\\\\\ 401.39=73.65x\implies \cfrac{401.39}{73.65}=x\implies 5.45\approx x\)

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer:

71

Step-by-step explanation:

if you add 15+15+11+11+19 you will be getting 71

Answer:

the answer is b, c, d, a, respectively

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

Step-by-step explanation:

For a rational function, we cannot values in the domain that will make the denominator 0.

So set the denominator =0

\( {x}^{2} - 1 = 0\)

\( {x}^{2} = 1\)

\(x = 1\)

or

\(x = - 1\)

So the answer is (-1,1)

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

Answer:

21:27 and 14:18

Step-by-step explanation:

We can solve this by using common factors

one of the common factors of 54 and 42 is 3

42/3=14

54/3=18

so one of the ratios is 14:18

another common factor is 2

42/2=21

54/2=27

so another ratio is 21:27

Answer:

false and then true

Step-by-step explanation:

Hope this helps :)

Answer:

First one is False, second one is true.

Step-by-step explanation:

For the first one, the left side of the equation would equal -6/3, and the left side would be 3/-6. When simplified it would be: -2 = -1/2, which is incorrect.

For the second one, the left side and the right side are the same because either way you put it, they are still being multiplied, and the order doesn't matter. The end result will be -72 = -72, which is correct.

I hope this helps!! :>

85%

Justin has ridden 34 miles out of 40 miles. This can be expressed as a fraction, 34/40.

If you carry out the division 34 ÷ 40, you get 0.85. This is the proportion of the course that Justin has ridden, and is always less than one. To convert this to a percentage, you multiply it by 100:

0.85 * 100 = 85%

Answer:

135.5-8.50=127

127/31.75=4

4 friends or your self and 3 friends

Hope This Helps!!!

Answer:

Equation:

31.75x + 8.50 = 135.50

Answer:

x = 4

Step-by-step explanation:

31.75x + 8.5 = 135.5

31.75x = 135.5 - 8.5

31.75x = 127

x = 127/31.75

x = 4

Answer:

185

Step-by-step explanation:

222/6=37

5*37=185

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\(\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}\)

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\(\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64\)

Hence, the lighthouse is 34.64 m tall.

Answer: 118

Step-by-step explanation:

Angle ABC and Angle BCD add up to 180 degrees, because Line AB and line CD are parallel. Because of this, Angle BCD can be moved up the the angle above 3n-47. Because the two angles fall on to a straight line, we can say that (3n-47)+(n+7)=180. Solving, n=55, so angle ABC equals 118 degrees.

https://brainly.in/question/28196155#:~:text=Step%2Dby%2Dstep%20explanation%3A&text=1%20The%20corresponding%20angles%20are,alternate%20exterior%20angles%20are%20equal. See #5.

Answer:

1/2 is the answer because its half

Answer:

1 / 2

Step-by-step explanation:

10 is to 5 as  10 (5/10) = 50/10 = 5

8 is to 4 as 8 ( 4/8 ) = 32/8 = 4

6 is to 3 as 6 ( 3/6 ) = 18/6 = 3

Each of the scale factors are 5/10, 4/8, 3/6 which equals 1/2.

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

Learn more about perimeter here

https://brainly.com/question/19819849

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The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.

The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.

Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.

Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.

Hence, the correct option is {−4, −2, 0, 3, 5}.

Find out more on domain here: https://brainly.com/question/26098895

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Answer:

2cm

Step-by-step explanation:

On a scale of 1 to 50, her bedroom door would be 100cm divided by 50 which is 2cm

Answer:

O a=0

Step-by-step explanation:

Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

C) 40 students

Step-by-step explanation:

The correct percent double 20% is 40% but they want to know what is 40% of the total. Set up a proportion.

x 40%

_____ = _____

800 100  

Cross multiply and divide to get your answer!

Answer:

Step-by-step explanation:

y= -5x/2+1

Ab=3.14xRadious to the power of 2

then to the area of the rectange you do B x H = YOUR ANSWER

Answer:

Step-by-step explanation:

242.55