You have at most 8 hours to spend at a beach and at a planetarium. You want to spend more than 2 hours at the beach and at least 2 hours at the planetarium. Let x be the number of hours at the beach and let y be the number of hours at the planetarium. Which system represents the situation

Given:

Arnold has $24 to spend at the movies.

Ticket = $12

Popcorn is double the price of the soda.

The soda and candy bar are same price.

To find:

The price for the soda.

Solution:

Let x be the price of soda.

According to the question,

Price of candy = Price of soda = x

Price of popcorn = 2(price of soda) = 2x

Total amount = Ticket + Popcorn + Soda + Candy

[tex]24=12+2x+x+x[/tex]

[tex]24=12+4x[/tex]

[tex]24-12=4x[/tex]

[tex]12=4x[/tex]

Divide both sides by 4.

[tex]\dfrac{12}{4}=x[/tex]

[tex]3=x[/tex]

Therefore, the price of soda is $3.

Answer:

since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63

to fine A and C simply subtract 180 - 63 which gives us 117 so

A = 117

B = 63

C = 117

D = 63

Answer:

D=4

Step-by-step explanation:

Answer:

d=4

Step-by-step explanation:

5d - 3 +2d = 4d +9

7d-3=4d+9

-4d    -4d

3d-3=9

     +3   +3

3d=12

divide both sides by 3

d=4

Answer:

B.

Step-by-step explanation:

55.5 kilometers would be 1° of the longitude measure in kilometers at 45° latitude north.

Latitudes are horizontal lines that indicate how far away from the equator a location is. Longitudes are vertical lines that represent the east and west directions relative to Greenwich, England's meridian. Cartographers, geographers, and others can pinpoint points or locations on the globe by combining latitude and longitude.

Given, At the equator, one degree of longitude is around 111 kilometers. The size of a degree fluctuates as we go north or south. since the equator is perpendicular to the pole. which is 90 degrees hence it's asking distance of 45 therefore from the proportionality concept in a right angle triangle. the distance at 1 is at 45 latitudes is 111/2 or 55.5.

Therefore, At 45° latitude north, 55.5 kilometers would represent 1° of the longitude measurement in kilometers.

Learn more about longitude and latitude here:

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Answer:

x=28

Step-by-step explanation:

Set 2x-4 equal to 60 and solve.

The three angles in the triangle add up to 180. Divide this by 3 and you get 60.

Answer: D

Step-by-step explanation: because I got the same question and got it right

Answer:

2x+4y=150

Step-by-step explanation:

Top answer is right as it is shown in the picture below!

Dividing fractions is the same as multiplying the reciprocal.

As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.

Keep: [tex]\frac{4}{9}[/tex]

Switch: the division sign to multiplication.

Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].

Now, your problem looks like this:

[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)

Multiply across.

4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.

Answer:

A

Step-by-step explanation:

When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.

Answer: Arm routine = 11 minutes

Abdominal routine = 22 minutes

Step-by-step explanation:

Let the minutes used for an arm routine be represented by x.

Let the minutes used for an abdominal routine be represented by y.

Last week, he worked out for a total of 88 minutes by doing 2 arm routines and 3 abdominal routines. This can be expressed as:

2x + 3y = 88

This week, he has completed 4 arm routines and 1 abdominal routine and spent a total of 66 minutes exercising. This can be expressed as:

4x + y = 66

2x + 3y = 88 ...... i

4x + y = 66 ...... ii

Multiply equation I by 4

Multiply equation ii by 2

8x + 12y = 352 ...... iii

8x + 2y = 132 ...... iv

Subtract iv from iii

10y = 220

y = 220 / 10

y = 22

An abdominal routine last for 22 minutes

From equation I

2x + 3y = 88

2x + 3(22) = 88

2x + 66 = 88

2x = 88 - 66

2x = 22

x = 22/2

x = 11 minutes

An arm routine last for 11 minutes

1) A

Equations simplified:

A: y = 2x + 3

B: y = -3x + 3

2) Red is A, Blue is B

Answer:

x = 10

Step-by-step explanation:

Every triangle has 180o. Just add the three angles together.

8x + 5 + 3x + 25 + 4x = 180         Combine the like terms.

15x + 30 = 180                              Subtract 30 from both sides

15x = 180 - 30                              Combine

15x = 150                                      Divide by 15

x = 150/15

x = 10

Answer:

10

Step-by-step explanation:

8x + 5° + 3x + 25° + 4x = 180° (angle sum property of a triangle)

8x + 3x + 4x + 5° + 25° = 180°

15x + 30° = 180°

15x = 180° - 30°

15x = 150°

x = 150/15

x = 10°

hope it helps u!

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

Answer:

6

Step-by-step explanation:

You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.

DF = EB

     = AB

     = 6

Answer:

its right

can i have brainliest please

Answer:

I got the same answers as you

Answer:

Answer:

[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]

Step-by-step explanation:

We have completed the diagram with some lengths that come directly from the figure's symmetry.

Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.

This means the base of the triangle has the same length as the height of 9.

This means the total base of the trapezium is x = 9 + 7 = 16

The right triangle must satisfy Pythagora's Theorem:

[tex]y^2=9^2+9^2[/tex]

[tex]y^2=2*9^2[/tex]

[tex]y=\sqrt{2*9^2}[/tex]

Simplifying the radical:

[tex]y=9\sqrt{2}[/tex]

The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]

Answer:

A EDGE 2020

Step-by-step explanation:

I got it wrong twice and it gave me the answer :)

The point represents z₁ - z₂ will be A. Then the correct option is A.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex numbers z₁ and z₂ are graphed.

The expression of z₁ and z₂ are given below.

z₁ = 4 – i

z₂ = –3 – 2i

Then the difference between z₁ and z₂ will be

z₁ - z₂ = (4 – i) – (–3 – 2i)

z₁ - z₂ = 4 – i + 3 + 2i)

z₁ - z₂ = 7 + i

Then the correct option is A.

More about the complex number link is given below.

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Answer:

plus 2

Step-by-step explanation:

because there negatives

Man, I have to be honest with you, I have no clue. But here is something else though. I had to take Geometry last year, and you are right. It does suck. But, you will get through it! There is a light at the end of the tunnel and you will get it! Keep up the good work!

Answer:

m<1 = 87

Step-by-step explanation:

Bro I got you! You ain't gotta hate school no more!

Right the equation like this

m<1 + m<2 = <TSV (plug in)

m<1 + 65 = 152 (subtract 65 from 152 to get m<1)

m<1 = 87

There you go!

Hope this helps ya!

Answer:

15

Step-by-step explanation:

If we accept that the left side of the left triangle corresponds to the left side of the right triangle, then the scale factor is 6/8 = 3/4. By multiplying the scale factor by the bottom side of the first triangle, you'll get the corresponding side of the right triangle: 20 * 3/4 = 15.

Answer:

15

Step-by-step explanation:

Answer:

Choice A. $2,392 is the correct answer

Answer:

Hello! the answer is X=2

Step-by-step explanation:

Answer:

The answer is x=2

Step-by-step explanation:

Answer:

So if you have 259 and you need 499 subtract and you get 259 is how much you need 259 divided by 30 is 8.63333333333 rounding up you will need to wait about 9 more  weeks

Step-by-step explanation:

Good luck and have fun!

Answer:

a: -1,-1

b: 2,3

c:6,7

d: 5, 7

Step-by-step explanation:

Answer:

A -1,-1

B 2,3

C 6,7

D 5,-3

Step-by-step explanation:

You have to plug in each plotted point into the formula that was given to you.

Ex - A is plotted point is (-4,-3) so you plug in (-4+3,-3+2) which will give you (-1,-1)

Answer:

the answer is D

Step-by-step explanation:

hopes it helped^^

Answer:

12x+3y+3

Step-by-step explanation:

Let's simplify step-by-step.

4x+2y+6+7x+3y−4+x−2y+1

=4x+2y+6+7x+3y+−4+x+−2y+1

Combine Like Terms:

=4x+2y+6+7x+3y+−4+x+−2y+1

=(4x+7x+x)+(2y+3y+−2y)+(6+−4+1)

=12x+3y+3

Answer:

12x + 3y + 3

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

(4x + 2y + 6) + (7x + 3y - 4) + (x - 2y + 1)

Step 2: Simplify

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)