A vendor sells tacos and burritos. One family buys 3 tacos and 2 burritos for $9.25. Another family buys 7 tacos and 4 burritos for $19.75. Find the cost of each item.

Answers

Answer 1

Answer:

Taco: $1.25

Burrito: $2.75

Step-by-step explanation:

Let x = tacos

y = burritos

Since the first family bought 2 burritos, we multiply y by 2; we multiply x by 3 since they bought 3 tacos.

3x + 2y = 9.25

We do basically the same thing for the other family

7x + 4y = 19.75

We'll use elimination method to solve this

7x + 4y = 19.75

3x + 2y = 9.25

Multiply the bottom equation by -2

7x + 4y = 19.75

(3x + 2y = 9.25)-2

7x + 4y = 19.75

-6x - 4y = -18.5

Now subtract the equations and we get this

x = 1.25

A taco costs $1.25

Plug the new x into one of the original equations

3(1.25) + 2y = 9.25

3.75 + 2y = 9.25

- 3.75         - 3.75

2y = 5.5

2y/2 = 5.5/2

y = 2.75

A burrito costs $2.75


Related Questions

When would the median be the most effective way to describe a distribution?

Answers

The median is more likely to be accurate to the average value, even if it doesn’t calculate the average, because it is rarely affected by outliers. The mode, on the other hand, will be thrown off by outliers and won’t correctly represent most of the data.

Cho 6x - x2
• Phân tích thành nhân tử
• Tìm x biết 6x - x2 = 0

Answers

Answer:

6x-x2 or 6x-2x haa??

6x-x2

=-5xpower2 ok

Two cards are randomly drawn. (5 blue cards and 3 yellow cards) What is the probability of drawing two blue cards if the fist card is not included in the second draw? simlify your answer completely

Answers

Answer:

5/14

Step-by-step explanation:

The probability of drawing a particular coloured card is the number of cards that are that colour, divided by the total number of cards:

The probability of drawing a blue card on your first draw would be 5 out of (5 + 3) = 5/8

The next draw would be the same principle, but the denominator (bottom number of the fraction) would be 1 less, because you have just taken out 1 card on your first draw:

The probability of drawing a blue card on your second draw (after drawing a blue card first) would be 4 (since you have already taken one) out of (8 - 1) = 4 / 7

To find the probability of both these steps combined, you multiply the two fractions together:

5/8 x 4/7 = 20/56

The question asks you to simplify, which means that the final answer is 5/14

Hope this helps!

describe the relationship between a circle and a sphere

Answers

Answer:

A Circle is a two-dimensional figure whereas, a Sphere is a three-dimensional object. A circle has all points at the same distance from its centre along a plane, whereas in a sphere all the points are equidistant from the centre at any of the axes.

I WILL GIVE BRANLISET

Answers

Answer:

y axis: (0, 12)

x axis: (18, 0)

Quadrant I: (4.5, 10.6)

Quadrant II: (-15, 21)

Quadrant III: (-3/4, -4 1/9)

Quadrant IV: (3, -7)

Step-by-step explanation:

Integers used for each Quadrant.

Quadrant one: x axis = positive, y axis = positive

Quadrant two: x axis = negative, y axis = positive

Quadrant three: x axis = negative, y axis = negative

Quadrant four: x axis = positive, y axis = negative

(0,12) = goes to the y axis

(3,-7) = goes to quadrant 4

(-15,21) = goes to quadrant 2

(18,0) = goes to the x axis

(4.5,10.6) = goes to quadrant 1

(-3/4, -4 1/9) = goes to quadrant 3

I need help please :)

Answers

hdhshejsishsisjshsj is shishsbs

If mLA = 15, then 3mLA = 45

Answers

Answer:

True

Step-by-step explanation:

brainliest plzzzz

a train travels 24 miles in 30 minutes at this rate how many minutes will it take the train to travel 36 miles?​

Answers

Answer:

45 minutes

Step-by-step explanation:

1/2 of 24 is 12

24 + 12 is 36

1/2 of 30 is 15

30 + 15 is 45

Answer:

The answer is 42

Step-by-step explanation:

36 miles minus 24 mil3s equals 12 so you plus 30 minutes 12 eq 42 minute.

(6n4 − 39n3 + 50n2 − 18n − 35) ÷ (n − 5)

Answers

1) Factor [tex]6n^{4} -39n^{3} +50n^{2} -18n-35[/tex] using polynomial division.

[tex]\frac{(6n^{3}-9n^{2} +5n+7)(n-5) }{n-5}[/tex]

2) Cancel [tex]n-5[/tex].

[tex]6n^{3} -9n{2} +5n+7[/tex]

A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities?

Answers

Answer: 225

Step-by-step explanation:

0.75 inch : 1 mile

Times either side by 12

9 inch : 225

If a circle has a circumference of 40.82cm what would the diameter be

Answers

Answer:

12.99

cm

this is the answer

help i need to know what k is

Answers

Answer:

k = 5

Step-by-step explanation:

The formula for coefficient of proportionality is y = kx.

In the given problem, the Area of a rectangle corresponds to "y" in the constant of proportionality formula, and "x" is still the same. Since the formula for the area of a rectangle is: A = L × W, then:

A = y

L = k

W = x

y = kx is the same as A = LW or A =  L × W

Thus, we're looking for the value for k, which corresponds to the length (L) (which has a constant value).

Below are the calculations for the missing values in the table:

We'll start with x = 0.14, and A = 0.7 since we're given the values for them. We could plug these values into the formula for the Area of a rectangle to find the constant value of the length (L):

A = L * W

0.7 = L * 0.14

Divide both sides by 0.14 to isolate L:

0.7/0.14 = (L * 0.14)/0.14

5 = L  ←← Keep in mind, this is the coefficient of proportionality.

x = 3.1:

A = L * W

A = 5 * 3.1

A = 15.5

x = 2.5:

A = 5 * 2.5

A = 12.5

x = 1.2:

A = 5 * 1.2

A = 6

x = 0.9:

A = 5 * 0.9

A = 4.5

Next, we're given the values for the Area, but we're missing the values for x. However, we already have the value for L = 5. We could still follow the same process by plugging in the values into the formula:

A = 0.3:

A = L * W

0.3 = 5 * W  

Divide both sides by 5 to solve for W:

[tex]\frac{0.3}{5} = \frac{5 * W}{5}[/tex]

0.06 = W

A = 0.1:

A = L * W

0.1 = 5 * W  

Divide both sides by 5 to solve for W:

[tex]\frac{0.1}{5} = \frac{5 * W}{5}[/tex]

0.02 = W

Therefore, k = 5.


A car has a speed of 25 m/s. What is its speed in km/hr? (1 km = 1000 m) (1
hr = 3600 s)

Answers

Step-by-step explanation:

the car went 25 meters in 1 second.

that creates this ratio 25 m/s or

formally fully correct 25/1 m/s.

to get the speed in km/h we need to bring the denominator of that ratio from 1 second to 1 hour.

we do that by multiplying it by 3600, as there are 3600 second in 1 hour.

to keep the overall value of the ratio we need to multiply also the numerator with the same factor.

so,

25/1 × 3600/3600 = (25×3600)/3600 =

= 90000 meters /1 hour

how many km (kilometers) are 90000 meters ?

1 km = 1000 m

so,

90000 m = 90000/1000 km = 90 km

therefore, or full answer is

the car's speed was 90 km/h.

9. Write an equation in point-slope form for the line through the given point with the given slope.

(4, -6); m= 3/5

A. y + 6= 3/5(x - 4).
B. y - 4= 3/5(x + 6).
C. y - 6= 3/5(x + 4).
D. y + 6= 3/5x - 4

Answers

Answer:

C. y - 6= 3/5(x + 4).

Step-by-step explanation:

y

=

m

x

+

c

6

=

(

4

×

3

5

)

+

c

c

=

12

5

6

=

42

5

So:

y

=

3

5

x

42

5

The point slope form comes from the definition of slope as a measure of the change in  

y

for a given change in  

x

in passing from point 1 to point 2, i.e.:

slope

=

m

=

Δ

y

Δ

x

=

y

2

y

1

x

2

x

1

...........(1).

The only difference here is that you do not have 2 points but only one!

So you have: the value of  

m

and the coordinates of one point, say, point 1. So we can write in (1):

3

5

=

y

(

6

)

x

4

where the coordinates of the other point are the unknown  

x

,

y

.

You get rearranging:

y

+

6

=

3

5

(

x

4

)

y

+

6

=

3

5

x

12

5

y

=

3

5

x

12

5

6

y

=

3

5

x

42

5

if α and β are the zeros of p(x) = x² – 5x + 3, then find the value of α + β – αβ option (a)1, (b)2, (c)3, (d)5 please help​

Answers

Step-by-step explanation:

if you follow me I will give your answer

Answer:

» (b) 2

Step-by-step explanation:

Given equation :

p(x) = x²-5x+3

: α + β = sum of zeroes =

−(coefficient of x) / (coefficient of x²) =

-(-5) / 1 = 5/1 = 5

αβ = product of zeroes =

(constant term) /(coefficient of x²) = 3/1 = 3

So, → α + β – αβ ( α+β = 5 , αβ = 3 )

→ 5 – 3

→ 2

Can someone help me with this please?
3.Name a point labeled by a letter that is a solution to the system graphed below. ​

Answers

Answer:

C

Step-by-step explanation:

The price of a video game is marked up by 35%. What is the new price of the game before the markup was 40$? (help <3)

Answers

Answer:

Solution :

Selling price (S.P) = (100 + m)% ⋅ C.P

Here,

M = 35, C.P =40$

Then,

S.P = (100 + 35)% ⋅ 40

S.P = 135% ⋅ 40

S.P = 1.35 ⋅ 40

S.P = 54

So, the selling price is $54.

Answer:

$54

Step-by-step explanation:

Given:

Initial price = $40Mark up = 35%

Find the mark up price:

$40 + 35% = $40 + 0.35*$40 = $40 + $14 =$54

If u know please answer

Answers

Answer:

3.48 m

Step-by-step explanation:

Substitute x = 3 into f(x)

f(3) = 2.007 × [tex]\sqrt{3[/tex] ≈ 3.48 m ( to the nearest tenth )

eats 54 nathan's hot dogs in 12 minutes. number of hot dog per minute rate of change

Answers

Answer:

4.5 hot dogs per minute

Step-by-step explanation:

rate of change=hot dog/minutes=54/12=4.5

Answer:

4.5 Hotdogs per Minute

Step-by-step explanation:

Rate of change is found by dividing the total amount of an object, in this case the hotdogs, by the amount of time.

We know that Nathan has 54 hotdogs and that he eats them in 12 minutes.

Therefore: [tex]\frac{54}{12}[/tex] is the rate of change.

This can be simplified to 4.5 as the rate of change.

write y=3/8x-2 in standard form

Answers

Answer:

[tex]3x+8y=52[/tex]

Graph:

plz help will mark you as brainliest
(the one who answers the most gets brainliest) u don't have to answer all of them u can just answer 2 or 3​

Answers

Answer:

41. s = semiperimeter

s = (a + b + c) /2

s = (120+170+250) /2

s = 270m

d is the correct option.

42. b is the correct option.

43. P = a + b + c

P = 120+170+250

P = 540m

a is the correct option.

44. A = √s((s-a)(s-b)(s-c))

=√270((270-120)(270-170)(270-250))

=9000m²

d is the correct option.

45. length of wire=P - space for gate

= 540 - 3

=537m

b is the correct option.

The machine broke open, and the quarters and half-dollars fell to the floor. The mysophobe grimaced but still retrieved them because there were 200 coins whose value was $75 How many of each kind were there?

Answers

Answer:

Interestingly, there would be 100 of each the half dollars and the quarters.

Step-by-step explanation:

100 quarters, each quarter being 1/4 of a dollar, 100x.25= 25. And 100 half dollars, 1/2 of a dollar, 100x.50=50

The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4⟩.


The vertices of M′N′P′Q′ after the translation are?

Answers

Answer:

see explanation

Step-by-step explanation:

A translation using the vector < 3, - 4 > , means

Add 3 to the x- coordinate and subtract 4 from the y- coordinate, so

M (- 3, - 2 ) → M' (- 3 + 3, - 2 - 4 ) → M' (0, - 6 )

N (- 1, 4 ) → N' (- 1 + 3, 4 - 4 ) → N' (2, 0 )

P (2, 4 ) → P' (2 + 3, 4 - 4 ) → P' (5, 0 )

Q (4, - 2 ) → Q' (4 + 3, - 2 - 4 ) → (7, - 6 )

so if each equation for x x / a - 5 equals B​

Answers

Answer:

Sorry ineed point ehhh thnks po sa points:)

How do I find the value of X and Y

Answers

Answer:

x= -3.6

y= -2.8

Step-by-step explanation:

9x +17 =3x-5 ( interior angles are equal)

9x-3x +17= 3x-3x -5

6x+ 17+ 5= -5+5

6x/6= -22/6

x= -3.6

3x-5= 6y+1 ( vertical angles)

3(-3.6) -5 = 6y+ 1

-10.8 -5 -1= 6y +1 -1

-16.8 = 6y

-16.8/6 = 6y/6

y= -2.8

Given that ∠ ABD ≅∠ RQS and m DBC = 33, what is m ∠RQS?

Answers

Answer:

57°

Step-by-step explanation:

57°

∠ ABD =∠ RQS , ∠DBC = 33°

∠ ABD = 90° - 33° = 57°

∠ RQS = 57°

I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*

Answers

Answer:

16 ounces

Hope thi shleps

if t-5=r+6 solve for t

Answers

Answer:

t = r + 11

Step-by-step explanation:

t - 5 = r + 6 ( add 5 to both sides )

t = r + 11

thank for t
he answer

Answers

Answer:

R

Step-by-step explanation:

Look at the X value, 3.5, and draw a line from 3.5 up on the X axis.

Look at the Y value, 2.5, and draw a horizontal line on the y axis. Your point is at R.

the answer is R :))))))

Can someone help me on this problem please? I'm not sure how to figure it out. Thank you! :P

Answers

Answer:

They are not similar because the shape and their numbers.

Step-by-step explanation:

Pls  brainliest :/

I would say yes, the rectangles are similar!
Both of the rectangles have a scale factor of 2.5
If you divide 10 and 4 (the smaller sides of the rectangle) you will see that the larger rectangle is 2.5x bigger than the smaller one!
Same with the longer side. 20 divided by 8 is 2.5:)
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