When driving in England, a U.S. tourist puts gasoline in his car and pays 1.35 European pounds per liter (pounds per liter). The price of gasoline in his U.S. hometown is $3.39 per gallon. Suppose the exchange rate is 0.705 pounds for $1.50. Is gasoline more expensive in England or in the U.S.?

Answer:

[tex]f(x)=2x+3[/tex]

Step-by-step explanation:

So we know that:

[tex]f(1)=5 \text{ and } f(3)=9[/tex]

In other words, we have 2 coordinates: (1,5) and (3,9).

With this, we can figure out the slope. Let (1,5) be x₁ and y₁ and let (3,9) be x₂ and y₂. The slope formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{9-5}{3-1}\\m=4/2=2[/tex]

So, the slope is 2.

Now, use the point-slope form to figure out the y-intercept. The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

For consistency, let's continue to use (1,5) as x₁ and y₁. Now, we can use 2 as m. Thus:

[tex]y-(5)=2(x-1)[/tex]

Distribute:

[tex]y-5=2x-2[/tex]

Add 5 to both sides:

[tex]y=2x+3[/tex]

So:

[tex]f(x)=2x+3[/tex]

And that's our equation :)

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Method 1

Use your calculator to find the decimal version of each fraction

We see that 0.20 is the smallest decimal of the list, so 1/5 is the smallest fraction of the list.

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Method 2

To compare fractions, we need to get all of the denominators to the same value. A good target is the lowest common denominator (LCD)

In this case, the LCD is 100

The last fraction has the smallest denominator, so 1/5 is the smallest.

Answer:

$4.25

Step-by-step explanation:

4 quarters is 1 dollar

1 nickel is 5 cent

14 divided by 4 = 3.5

3.5 + 5 times 5 =  $4.25

Step-by-step explanation:

1 dollar = 4 quarters

1 dollar = 20 nickel

1 nickel = 0.2 quarter

5 nickel = 0.2 x 5 = 1 quarter

14+ 1 = 15 quarter

15 quarter = 3.75$

Answer:  A. w = x+y

Step-by-step explanation:

w is an exterior  angle so the two remote angles x and y has to equal it.

Answer:

w = x+y

Step-by-step explanation:

The exterior angle of the triangle is equal to the sum of the opposite interior angles of the triangle

w = x+y

Answer:

It took Peter 28 minutes and 10.82 seconds to finish the race.

Step-by-step explanation:

We have that:

[tex]t_{A}[/tex]: Antonio = 28 min + 11.00 s (1)

[tex]t_{J}[/tex]: Julio = A - 0.08 s  (2)

[tex]t_{P}[/tex]: Pete = J - 0.1 s   (3)

Then, the time at which Pete finished the race is:

[tex] t_{P} = t_{J} - 0.1 [/tex]   (4)

By entering equations (1), (2), (3) into (4) we have:

[tex] t_{P} = (t_{A} - 0.08) - 0.1 [/tex]            

[tex] t_{P} = 28 min + 11.00 s - 0.18 s = 28 min + 10.82 s [/tex]

Therefore, it took Peter 28 minutes and 10.82 seconds to finish the race.    

I hope it helps you!

A= 0,-3

D= -4,-3

C= 0,4

B= 3,3

Step-by-step explanation:

,

Answer:

the answer is f(x) = x + 5        ( the first option)

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

Given: Gomez has 30 cans of regular soda and 18 cans of diet soda.

He wants to create some identical refreshment tables that will operate during the football game and doesn't want any sodas left over.

Then, the greatest number of refreshment tables that Gomez can stock = GCD (30,18).

Since, 30=  2 x 5 x x 3

18= 2 x 3 x 3

GCD (30,18) = 2 x 3 = 6

Hence, the greatest number of refreshment tables that Gomez can stock is 6.

Answer:

is number one ka matalab hindi me janiye to the meeting ko join date puchhrahai hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to nahin hai ki tum mere ko bohot achhi lagi aur attitude to

Step-by-step explanation:

The distributive property is as follows :

[tex]a(b+c)=ab+ac[/tex] ....(1)

We need to solve [tex]24(\dfrac{d}{4}-5)=156[/tex] using distributive property

Applying property (1) on the LHS of given equation

Taking a = 24, b = d/4 and c = -5

So,

[tex]24(\dfrac{d}{4}+(-5))=156\\\\24\times \dfrac{d}{4}+24\times (-5)=156\\\\6d-120=156\\\\6d=156+120\\\\6d=276\\\\d=\dfrac{276}{6}\\\\d=46[/tex]

So, we get the value of d as 6 using distributive property.

Answer:

you do subtraction than the plus and you got your answer!

Hope this helps :)

Answer:

7h - 15h + 40 = -72

-8h + 40 = -72

take +40 on the other side of equation

-8h = -72-40

-8h = -112

h = -112/-8

h = 14

Step-by-step explanation:

Answer:

153 cm^2

Step-by-step explanation:

The area is given by

A = b*h

   = 17*9

    =153 cm^2

Answer:

Step-by-step explanation:

A=(b1+b2/2)h

The formula is area= base 1 plus base 2 over 2 times the height.

The two bases are 17 cm.  Let's add that in our formula.

A=(17+17/2)h

17+17= 34.  Since 34 is over 2 in the parentheses, let's simplify that first.

A=(34/2)h

A=(17)h, because 34 divided by 2 is 17

The height, h, is 9 cm.  Let's subsitute that into h.

A=(17)9

17 times 9 equals 153, so the area is 153² cm.  :)

Answer:

63

Step-by-step explanation:

-1,5,15,29,41,63

between the 2nd term and first term, we add 6

between the 3rd and 2nd, we add 10

between 4th and 3rd, we add 14

between 5th and 4th, we add 12

to get the next term, we add 22 to the fifth tern which is 63

this is how to get the 4th term 6 interval was added to 8 making 14 and to get the fifth, then add 2 to the difference of 10 making 12. 29+12=41..so to get the last term 14 was added to 8 making 22 and therefore 41+22=63

Answer:

Step-by-step explanation:

[tex](4,3)=(x_1,y_1)\\(-4,-4)=(x_2,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-3}{x-4}= \frac{-4-3}{-4-4}\\\\\frac{y-3}{x-4}=\frac{-7}{-8} \\-8(y-3) =-7(x-4)\\-8y +24=-7x +28\\-8y =-7x +28-24\\-8y = -7x +4\\Divde\:both\:sides\:of\:the\:equation\:by\: -8\\\\\frac{-8y}{-8} = \frac{-7x}{-8} +\frac{4}{-8}\\\\y = \frac{7}{8}x -\frac{1}{2}[/tex]

Answer:

0 < x < 9

Step-by-step explanation:

Mary's age = x

Twice of Mary's age = 2x

Emily's age = (2x + 3) (we are told Emily is 3 years older than twice of Mary's age)

Given that the sum of their ages is > 30, we have the following expression:

[tex] (2x + 3) + x [/tex] > 30

Let's simply:

[tex] 2x + 3 + x [/tex] > 30

[tex] 3x + 3 [/tex] > 30

Subtract 3 from both sides

[tex] 3x + 3 - 3 [/tex] > [tex] 30 - 3 [/tex]

[tex] 3x [/tex] > [tex] 27 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} [/tex] > [tex] \frac{27}{3} [/tex]

[tex] x [/tex] > [tex] 9 [/tex]

Therefore, the inequality that represents Mary's possible age is: 0 < x < 9

Answer:

20

Step-by-step explanation:

1/3 = .3

6/.3  = 20

Answer:

18

Step-by-step explanation:

6 ÷ 1/3

changing the ÷ sign into × sign and taking reciprocal of the second term

6 × 3/1

putting 1 as the denominator of 6

6/1 × 3/1

now multiplying both terms

18/1

18

Answer:

see below

Step-by-step explanation:

5(4 + 8) =

Distribute

5*4 + 5*8

20 + 40

60

Answer:

60

Step-by-step explanation:

We want to complete the expression using the distributive property. The expression is:

5(4+8)

Distribute first. Multiply each number inside the parentheses by the number outside the parentheses, which is 5.

(5*4)+(5*8)

Multiply 5 and 4.

20+(5*8)

Multiply 5 and 8.

20+40

Add 20 and 40.

60

The expression 5(4+8) is equal to 60.

Answer:

x = 0.2

Step-by-step explanation:

-7.8x = -1.56

-1.56/-7.8 = 0.2

x = 0.2

Answer:

[tex]x =\frac{1}{5}[/tex] or [tex]0.2[/tex] (they're the same)

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

the angle adjacent to x is corrsponding with angle 89 meaning it is the same:

180 - 89 = 91

Answer:

this how I got the answer

Step-by-step explanation:

find the angle A ..B

it's a straight line so 180.

180_148=32

In angle C..it's a full turn.so 360

360_290=70

we just have to find one more angle...

it's a straight line ..so as we know 180

32+70=102

180_102=78

Answer:

5.52 miles

Step-by-step explanation:

All you need to do in multiply 1.2 by 4.6 like this:

1.2 x 4.6 = 5.52 miles

I hope this helps

Answer:

Step-by-step explanation:

Let the height of their oldest sister isabella be z centimeters. Roger is x centimeters tall and Olivia is y centimeters tall.

If their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height, this can be expressed as shown;

First let us get the sum of Roger and Olivia's height;

The sum of Roger and Olivia's height = (x+y)cm

The double of the sum of their ages = 2* (x+y)cm = 2(x+y)cm

Now if Isabella, is 25 centimeters shorter than the double of the sum of their ages, the expression will be [2(x+y)-25]

Since the height of isabella is z, the expression that model isabella's height will be expressed as z =[2(x+y)-25]cm

Step-by-step explanation:

that's it!! pls mark me as Branliest..

Answer:

This is done by stating descriptions of these terms.

Step-by-step explanation:

Undefinable terms are terms with no formal definitions. Formal definitions are obtained when specific words are used to define a term. In mathematics, specifically, Geometry words like line, point, and plane have no definite definition, So descriptions are used to identify them.

For example, in describing a point, we note that a point has no dimensions, it is usually denoted with a capital letter, and it indicates a position. Also in a coordinate plane, it is denoted with descriptions such as  (u,v). Corresponding descriptions are given of other undefinable terms.

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

Answer:

282

Step-by-step explanation:

190+(92)=282

Thank you! :)

Answer:

p = -7/3

Step-by-step explanation:

-2 = 6/7p

multiply each side by (7/6)

-2(7/6) = 6/7p(7/6)

-7/3 = p

Answer:

[tex]-\frac{7}{3}[/tex]

Step-by-step explanation:

Answer:

Josephine

Step-by-step explanation:

2 criteria was given to pass an exam:

1. At least, a mean mark of 40% must be achieved in the exam consisting of 4 papers

2. Score at least, 33% in each paper.

From the table given, and considering these two criteria, James definitely didn't pass the examination. He scored below 33% in one of the 4 papers. James scored 30% in Maths

Calculated the mean score for John and Josephine to determine if they meet the first criteria of having at least a mean score of 40%.

Mean score of John = (35 + 36 + 42 + 44) ÷ 4 = 39.25%

Mean score for Josephine = (60 + 55 + 38 + 75) ÷ 4 = 57%

Josephine passed the examination because she had a mean score of 57%, and also scored 33% and above in each test.

Answer:

A) 2

B) 13/16

A) If 1 3/8 = 1 scarf

7 1/2 = 7 1/2 ÷ 1 3/8

= 2.8125

so 7 1/2 can make 2 scarfs

B) remaining fabric is 0.8125

= 13/16