Mario buys tickets for either 47 or 57 dollars. He purchases 14 tickets and spends 738 dollars. How many tickets did he purchase at each price?

Answers

Answer 1

Answer:

6 tickets were purchased at $47

8 tickets were purchased at $57

Step-by-step explanation:

Let the tickets purchased at $47 be x

Let the tickets purchased at $57 be y

We can form an equation from the question given which will be:

x + y = 14 ....... i

47x + 57y = 738 ........ ii

From equation i

x = 14 - y ........ iii

Substitute iii into ii

47x + 57y = 738

47(14-y) + 57y = 738

658 - 47y + 57y = 738

Collect like terms

-47y + 57y = 738 - 658

10y = 80

y = 80/10

y = 8

8 tickets were purchased at $57

Note that from i

x + y = 14

x + 8 = 14

x = 14 - 8

x = 6

6 tickets were purchased at $47


Related Questions

Write equation of a line through the points (4,2) and (6,-4)

Answers

Answer:

y = -3x - 2

Step-by-step explanation:

to find slope use m= y2-y1/x2-x1

m= -4-2/6-4

m= -6/2

m=-3

then use point slope formula (y-y1) =m(x-x1)

(y-2) = -3(x-4)

simplify

y-2 = -3x - 4

turn into slope intercept form

y = -3x - 2

I save 26$ each week. I started with 65$ saved. If I want to buy a bike that costs $273, how many weeks will I have to save

Answers

Answer:

Time = 8 weeks

Step-by-step explanation:

Given the following data;

Savings = $23

Savings made = $65

Cost of bike = $273

To find the amount required to purchase the bike;

Balance = cost of bike - savings made

Balance = 273 - 65

Balance = $208

Next, we find the number of weeks required to save $208 (balance).

Time = balance/savings

Time = 208/23

Time = 8 weeks

i would like help the picture is in the question

Answers

Answer:A

Step-by-step explanation:

the correct answer is a

I need help please
Which table represents a linear function?

Answers

The first one I believe.

Estimate 11.14+9.543 by first rounding each number to the nearest tenth.

HELP PLSZZ

Answers

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

please help me with this math problem:)

Answers

A y-intercept always has to have an x-value of 0 so the answer is D (the last option)
The answer to this question is D

What is the difference between a 30° angle and a -30° angle?
Please provide a complete sentence or two.

Answers

Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

please help no links or random stuff!!

Answers

Answer:

See explanation. I added a photo and tried to explain everything. Please tell me in the comments if I explained it well and if handwriting was ok :)

Step-by-step explanation:

xHelp I need help on this math question I think its easy for others.

Answers

Answer:

1) D

2) A

Step-by-step explanation:

I hope this helps.

I'll give 100 brainly points, i just need help...plz

Answers

Answer:

A. [tex](x^{2/7})(y^{-3/5})[/tex]

Step-by-step explanation:

The numerator is:

[tex]\sqrt[7]{x^2} = (x^2)^{1/7} = x^{2/7}\\[/tex]

The denominator is:

[tex]\sqrt[5]{y^3} = (y^3)^{1/5} = y^{3/5}[/tex]

The fraction is equivalent to:

[tex]\frac{x^{2/7}}{y^{3/5}} =[/tex] [tex](x^{2/7})(y^{-3/5})[/tex]

Correct choice is A

Used rule

n√x=x^{1/n)(a^m)^n=a^mn

So

⁷√x²/⁵√y³(x^{2/7})y⅗

Help!!! I’ll give brainliest
The width of Gabby's backyard is 4 meters shorter than its length, and its area is equal to 120 square meters Which equation can be used to find the possible values for the length of Gabby's backyard, x?

Answers

Answer:

B

Step-by-step explanation:

Please hurry! Please help!

Answers

i believe the answer is 4
the answer is 4 hope helps

what is the distance between the points (6,-3) and (6,5)?

Answers

Answer:

8

Step-by-step explanation:

Usually we would have to use a formula to find the distance between the two points, however the x values of both coordinates are the same therefore we can find the distance between the two points by subtracting the smaller y value (-3 ) from the larger y value ( 5 )

Distance = 5 - ( - 3 )

* the two negative signs cancels out *

5 + 3 = 8

The distance between the two points is 8 units

Answer:

8

Step-by-step explanation:

[tex]\sqrt{(6-6)^{2}+(-3-5)^{2}}[/tex]

=> [tex]\sqrt{64}[/tex]

=> 8

MAKE A QUESTION FOR THIS EQUATION
5n +1.39=8.89
don't have to solve

Answers

Answer:

What is the missing number when n = 1.5?

5n+___=8.89

8.89-1.39=n
What is n?

Sylvie is going on vacation. She has already driven 63 miles in one
hour. Her average speed for the rest of the trip is 58 miles per
hour. How far will Sylvie have driven 5 hours later?

Answers

Answer:

353 miles

Step-by-step explanation:

58 x 5 = 290

290 + 63 = 353

❗️❗️❗️please answer fast‼️‼️‼️‼️

Answers

Answer:

72°

Step-by-step explanation:

The interior angles of a triangle sum to 180°. Since there are two angles at 54°, we can use the equation x = 180 - 54 - 54 or x = 180 - 2(54), which will give us 72°.


Find the axis of symmetry and the vertex of
the equation below.
n^2+ 6n = 0

Answers

Answer:

axis of symmerty = x coordinate of vertex = -b/2a

-6/2 = -3 = x

vertex = (-3,y)

-3^2 +6(-3)

9-18 = -9 = y

(-3,-9) = vertex

Step-by-step explanation:

Is 5x^2-8x+4/x+11x^5/2 a polynomial? True or False. Justify your answer

Answers

Answer:

false..................

Help me please!!

The density of pure iron is 7.874 g/cm3 . A piece of steel made of pure iron and other types of iron is in the shape of a rectangular pyramid. The rectangular pyramid has a base edge length of 4 cm , a base edge width of 9 cm , a height of 5 cm , and a mass of 425 g . What is the difference between the density of pure iron and the density of the steel rectangular pyramid? Round your answer to the nearest thousandth.

Answers

Answer:

"5.5129 g/cm³" is the appropriate solution.

Step-by-step explanation:

According to the question, the values are:

Iron's density,

= 7.874 g/cm³

Base edge length,

= 4 cm

Base edge width,

= 9 cm

Height,

= 5 cm

Mass,

= 425 g

As we know,

The Density of rectangular pyramid will be:

= [tex]\frac{Mass}{Volume}[/tex]

or,

= [tex]\frac{Mass}{Length\times Width\times height}[/tex]

On putting all the given values, we get

= [tex]\frac{425}{4\times 9\times 5}[/tex]

= [tex]\frac{425}{180}[/tex]

= [tex]2.3611 \ g/cm^3[/tex]

hence,

The difference will be:

= [tex]7.874-2.3611[/tex]

= [tex]5.5129 \ g/cm^3[/tex]

The equation of a circle is x2 + (y – 10)2 = 16.

The radius of the circle is
units.

The center of the circle is at

Answers

Answer:

radius = 4 units and center of circle = (0,10)

Step-by-step explanation:

The radius of this circle from the given equation of circle is equal to 4

Data;

radius = ?equation = x^2 + (y-10)^2 = 16

Equation of a Circle

The equation of a circle is given as

[tex](x-h)^2 + (y-k)^2 = r^2[/tex]

Let's substitute our given variables here and solve

[tex](x-h)^2 + (y - k)^2 = r^2\\(x-0)^2 + (y-10)^2 = 4^2[/tex]

All we need to do here try to write the equation in the standard form which is given above and then pick the value of radius (r) from there

The radius of this circle is equal to 4

Learn more on equation of circle here;

https://brainly.com/question/15214797

Help click the picture to make it bigger!!! ASAP

Answers

Answer:A and B

Step-by-step explanation:

Answer: A and D

The blue line has a slope of 2

WHAT IS THE MEASURE OF ANGLE F?

Answers

Answer:

Hello! answer: 25

Step-by-step explanation:

x = 56 because... 56 - 31 = 25 56 + 43 = 99 and x = 56 so 56 + 25 + 99 = 180 Hope that helps!

If you are given the length of a hypotenuse and the length of an adjacent side, what
trigonometry ratio could you use.
tangent
cosine
trigonometry
sine

Answers

Answer:

cosine

Step-by-step explanation:

: If the diagram below represents 250, find the value of each
color.
Green equals=
A 25
B80
C2.5
D105

Answers

Given:

The box model represents 250.

To find:

The value of the green color.

Solution:

In the given figure,

Total number small boxes = 100

Number of green boxes = 42

The fraction of green color in the given figure is [tex]\dfrac{42}{100}[/tex].

The box model represents 250. So, the value of the green color is:

[tex]\dfrac{42}{100}\times 250=105[/tex]

The value of green color is 105. Therefore, the correct option is D.

PLEASE HELP ITS URGENT PLEASE

Answers

Given:

The graph of a piecewise function.

To find:

The points of discontinuity.

Solution:

The function is discontinuous at a point if:

1. There is a jump in the graph of function.

2. There is a hole in the graph at that point.

3. The function approaches to infinite at that point.

From the given graph it is clear that the graph of the function has jumps are at points [tex]x=-2[/tex] and [tex]x=0[/tex].

So, the function is discontinuous at [tex]-2,0[/tex].

Therefore, the correct option is (c).

In the accompanying diagram, what is sin E?​

Answers

I don't see the pic!????

Answer:

what diagram

Step-by-step explanation:

The diameter of a circle is 13 ft. Find its area to the nearest tenth.

Answers

the answer is 132.665 but rounded it is 132.7

Answer: 132.7

Step-by-step explanation: divide 13 by 2 then multiply 6.5 by itself. Then multiply 42.25 by 3.14 or pi and you get 132.7

‼️‼️‼️HELP‼️‼️‼️‼️‼️

Answers

Option B: Supplementary angles; x = 62

In the diagram, we can see that the angles are linear pair, which means they are of 180°. Now,

Supplementary angles are those which form an angle of 180° where as Complementary angles are those which form an angle of 90°. Certainly, the as it is a linear pair, they both are supplementary angles.

Now, we can say that:

= x + 118 = 180 ------------ [ Supplementary angles]

= x = 180 - 118

= x = 62

That's how the option B is correct.

What kind of function is y=2(x-7)^2+19

Answers

Answer:

I think it is a quadratic function

Step-by-step explanation:

sort from greatest to least

-1.55

-1.5

-1.05

-1.0

please help asap or ill fail..please and thank you.

Answers

-1.55,-1.5,-1.05,-1.0
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