You and three friends go to the town carnival. You have a coupon for $20 off that will save your group money! If the total bill to get into the carnival was $100, how much does one regular price ticket cost?

Answer:

28

Step-by-step explanation:

Ratios are like fractions. Since you're finding an equivalent ratio, u can set them up like equivalent fractions and put an x where the missing number would go:

[tex]\frac{1}{7} = \frac{4}{x}[/tex]

You can either cross multiply and then solve for x, but it's easier to just think about it. The fractions are equivalent, right? So for them to be the same you'd have to do to the bottom what u do to the top.

To get from 1 to 4, you multiply by 4. By that logic, to get from 7 to x you'd have to multiply by 4 as well. Therefore x = 7x4, which is 28.

So x = 28

Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

Answer:

B.

Step-by-step explanation:

Only  0.00149, 0.0104, 0.0108, 0.0118, 0.013 are in ascending order.

Answer:

385 yards

Step-by-step explanation:

From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.

220 yards + 165 yards = 385 yards

Answer:

7<x-5

12<x

x>12

Step-by-step explanation:

Answer:

[tex]1) y=2x\\2) y=x+3[/tex]

Step-by-step explanation:

[tex]1) y=2x\\2) y=x+3[/tex]

Hope I helped!

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Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x[tex]\sqrt{3}[/tex].

x = 3

3 *  [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]

y =  3[tex]\sqrt{3}[/tex] (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

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Answer:

60%

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-(-6))/(4-4)

m=(4+6)/0

m=10/0

undefined

Answer:

x = 16

Step-by-step explanation:

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

[tex]y = 3(7)^x[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (4,7203)[/tex]

Required

Determine an exponential function

Substitute 0 for x and 3 for y in [tex]y=ab^x[/tex]

[tex]3 = ab^0[/tex]

[tex]3 = a*1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Substitute 4 for x and 7203 for y in [tex]y=ab^x[/tex]

[tex]7203= ab^4[/tex]

Substitute 3 for a

[tex]7203= 3*b^4[/tex]

Divide both sides by 3

[tex]2401= b^4[/tex]

Take 4th root of both sides

[tex]\sqrt[4]{2401} = b[/tex]

[tex]7 = b[/tex]

[tex]b = 7[/tex]

Substitute 3 for a and 7 for b in [tex]y=ab^x[/tex]

[tex]y = 3(7)^x[/tex]

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27

Answer:

Um...

Step-by-step explanation:

Hai

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

Answer:

a. $73.50

b. $1298.45

Step-by-step explanation:

6% of $1224.95 is $73.50

add them and it's $1298.45 total

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Answer:

Yes

Step-by-step explanation:

g(x) = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex]

y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{1}{4}[/tex] ....... (1)

(1) × 4

4y = - x + 1

x = - 4y + 1

y = - 4x + 1

f(x) = - 4x + 1

∴ f(x) and g(x) are inverses

Answer:

(8,5)

Step-by-step explanation:

quadratic formula

The nearest hundredth is  1.45.

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Find −2.45−(−3.9)

Remove the parenthes:

-2.45+3.9

calculate the sum or diffrerece

1.45

round the number 1.45

The answer is 1.45

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The decimal point is the dot that separates the whole number from the fractional part of the number.

The decimal to the nearest hundredth exists 1.45.

Integer and non-integer numbers are often expressed using the decimal numeral system.

Decimals are a type of number in algebra that have a whole number and a fractional portion separated by a decimal point. The decimal point is the dot that separates the whole number from the fractional part of the number.

The term "decimal" refers to the base-10 number system, which is arguably the most widely used. The ten single-digit numbers that make up the decimal number system are 0 through 9, or just 1, 2, 3, 4, 5, 6, and 7. 10 is the number that follows 9. 20 comes follows the number 19, and so on.

Any decimal number is rounded to the nearest hundredth by the term "to the nearest hundredth.

Let the given equation be −2.45 − (−3.9)

= -2.45+3.9

simplifying the above equation, we get

= 1.45

Therefore, the decimal to the nearest hundredth exists 1.45.

The complete question is:

Find -2.45-(-3.9). Write your answer as a decimal to the nearest hundredth.

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Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2