If 2 tacos and 3 drinks cost $14, and 3 tacos and 2 drinks cost $16, how much does a taco cost?

Answers

Answer 1

Answer:

1 taco is $4

Step-by-step explanation:

2t + 3d = 14              4t + 6d = 28

3t + 2d = 16              -9t -6d = -48

-5t = -20

t = 4

Answer 2

A tacos would cost $4.00.

Let the cost of tacos be T.Let the cost of drinks be D.

Translating the word problem into an algebraic equation, we have;

[tex]2T \; + \; 3D = 14[/tex]   ......equation 1

[tex]3T \; + \; 2D = 16[/tex]   ......equation 2

To find how much a tacos cost, we would solve the above system of equations by using the substitution method.

From eqn 1, we would make D the subject of formula;

[tex]D = \frac {14 \; - 2T}{3}[/tex]  .....equation 3

Substituting eqn 3 into eqn 2, we have;

[tex]3T \; + \; 2(\frac {14 \; - 2T}{3}) = 16\\\\3T \; + \; \frac {28 \; - 4T}{3} = 16\\\\[/tex]

Lowest common multiple (LCM) = 3

[tex]\frac {9T \; + \; 28 \;- \; 4T}{3} = 16\\\\\\[/tex]

Cross-multiplying, we have;

[tex]9T \; + \; 28 \;- \; 4T = 16 \; * \; 3\\\\5T \; + 28 = 48\\\\5T = 48 \; - 28\\\\5T = 20\\\\T = \frac{20}{5} \\[/tex]

Tacos, T = $4.00

Therefore, the cost of a tacos is $4.00.

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Related Questions

Please help with math and explain if u do i’ll give brainly!!

Answers

Answer:

3/2

Step-by-step explanation:

MNOP to ABCD: The answer has to be greater than one because ABCD increases in size from MNOP.

To get the scale factor you have to compare the sides.

Line AD = 6 in.

Line MP = 4 in.

6/4 = 3/2

Assume that in a given year the mean mathematics SAT score was 515, and the standard deviation was 116. A sample of 65 scores is chosen. Use the TI-84 Plus calculator. Part 1 of 5 (a) What is the probability that the sample mean score is less than 500

Answers

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

amber deposits $870 in an account that has a simple interest rate of 8% per year. After 5 years, how much interest will Amber have learned and what will the total balance be in the account

Answers

For simple interest, the formula is I = PRT, where I = interest, P = principal borrowed or deposited, R = rate as a decimal, and T = time in years.

Your information:
I = (870)(0.08)(5)
I = 348

Add the interest to the principal for your total balance

348 + 870 = $1218 will be the total balance in the account.

The figure formed by two rays from the same endpoint is an​

Answers

Answer:

common endpoint

Step-by-step explanation:

Lola purchases music from two online services. Company A charges Lola a $10
subscription fee plus 89 cents for each song. Company B charges no subscription fee but
$1.19 per song. What is the minimum number of songs Lola would have to purchase for
Company A to be the cheaper option?

Answers

9514 1404 393

Answer:

  8. (c)  34

  9. 38 women

Step-by-step explanation:

8. The price for s songs is ...

  A = 10 +0.89s

  B = 1.19s

We want A < B, so ...

  10 +0.89s < 1.19s

  10 < 0.30s

  33.33... < s

Lola would have to purchase 34 songs for Company A to be the cheaper option.

__

9. Let m represent the number of men. Then the number of women (w) is ...

  w = 4m+2

The total of men and women is 47, so we have ...

  m + w = 47

  m + (4m +2) = 47

  5m = 45 . . . . . . . . . subtract 2

  m = 9 . . . . . . . . . . . .divide by 5

  4m +2 = 4(9) +2 = 38 . . . . find the number of women

The PTA has 38 women in it.

Each square on the grid represents 1 square yard. What is the area of the octagon?

A.49 sq yd
B.41 sq yd
C.36 sq yd
D.39 sq yd​

Answers

Answer:

B. 41 sq yd

hope this answer helps you......

260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys

Answers

Answer:

We need a picture of the screen plz

Step-by-step explanation:

Brainliest for correct answer.

Answers

Answer:

First option

V = π [tex]r^{2}[/tex] h

Answer:

the first one

Step-by-step explanation:

Complete the table. Thanks in advance

Answers

Answer:

20%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

65.60/82.00

The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know


PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP

Answers

Answer:

18cm^2

Step-by-step explanation:

The computation of the area of the shaded region is shown below:

But before that the x value is

x ÷ 8 = (x+2) ÷ 10

10x = 8x + 16

10x - 8x = 16

2x = 16

x = 8

Now as we know that

Area = base ×  height

= 2cm × 8cm

= 16cm²

Now for small triangle

Area  = 1 ÷  2(base)(height)

= 1 ÷ 2 × (2)(2)

=4 ÷ 2

A = 2cm²

Now the total area of the shaded region is

= 16cm^2 + 2cm^2

= 18cm^2

The value of an autographed baseball card increased from $39 to $65 what is the percent increase in value of the baseball card?

Answers

:

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

Answer:

66.7%

Step-by-step explanation:

the value increased by 26

percentage increase =increase /initial value ×100

=26/39×100=66.7%

Is 2: 8/3 and 2/3: 6 proportional.
yes or no?

Answers

Answer:

No

Step-by-step explanation:

first one

2:8/3

Multiply by 3

6:8

Divide by 2

3:4

second one

2/3:6

Multiply by 3

2:18

Divide by 2

1:9

1:9 =\= 3:4

No


In the school chorus,
5
20
of the students are fourth graders.

In simplest form, what fraction of the students in the school chorus are fourth graders?

Answers

Answer: 1/6

Step-by-step explanation:

Which statement is true help

Answers

Answer:

The correct one is 6 is 3 times as many as two.

Step-by-step explanation:

Please help me!! I don’t get this!

Answers

Answer:

2. d) (x-1)²+(y+5)²=128

3.c) (x-3)²+(y+2)²=841

Step-by-step explanation:

If 43x-2=4 x+1, then x

Answers

Answer:

Step-by-step explanation:

Picture has the answer, not a bad picture I promise.

Step-by-step explanation:

43x-4x=1+2

39x/39=3/39

x=0.076

please help solving x​

Answers

Answer:

x = -7

Step-by-step explanation:

m<MLP + m<PLK = m<MLK (angle addition postulate)

(x + 31) + (x + 147) = 164 (substitution)

Solve for x

x + 31 + x + 147 = 164

Add like terms

2x + 178 = 164

2x = 164 - 178

2x = -14

x = -14/2

x = -7

You earn $86,000 the first year you graduate from college with a master's degree in chemical engineering. If you should be saving 25% of your gross pay, how much should you save?
A. $21,500
B. $64,500
C. $18,300
D. $12,400

Answers

If 86,000 is annual gross income then,

$86,000. 100%
$x. 25%
x=86000•25/100
x=21,500$
Answer is A

The number N of bacteria present in a culture at time t (in hours) obeys the equation N = 1000e^0.01t After how many hours will the population equal 1500? 2000?​

Answers

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

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Answers

Answer:

500

Step-by-step explanation:

Which operation would help solve for t?
T-13=35

Answers

Answer:

t = 48

Step-by-step explanation:

find the interest and final payment. interest rate: 12%. previous balance: $4,800

Answers

Answer:

Equivalent representations of percent problems

Step-by-step explanation:

Anyone can help please?

Answers

X=60°

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Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Answers

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

The experimental probability that Jason will roll a 2 is 3/14.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Given that, Jason rolls the die 14 times.

From the given table,

Number of favorable outcomes = 3

Total number of outcomes = 14

So, the probability = 3/14

Therefore, the experimental probability that Jason will roll a 2 is 3/14.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ2

Find f(-3) if f(x) = x 2.
A) 6
B-9
C)9
D-6

Answers

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

I NEED HELPPPPP PLEASE ​

Answers

Answer:

x and y are both equal to 115

Step-by-step explanation:

Vertical angles are congruent (x ~= 115)

Corresponding angles are congruent (x ~= y)

Help plz I will give brainliest

Answers

B 4cup of sugar and 3cups of flour =1cup of sugar and 3/4 cup of flower

please help asap ! no scam links or scam comments for points or reported.

Answers

Answer:

C

Step-by-step explanation:

it is -25x    X= each time he goes rock climbing

A student invested 1300 in account that pays 4% annual compound interest. He will not make any additional deposits or withdraws. How much will he have in the account at the end of five years?

Answers

Year 1: $1300x0.04= $52 + $1300 = $1352
Year 2: $1352x0.04 = $54.08 + $1352 = $1406.08
Year 3: $1406.08x0.04 = $56.24 + $1406.08 = $1542.62
Year 4: $1542.62 x 0.04 = $61.70 + $1542.62= $1604.32
Year 5: $1604.32 x 0.04 = $64.17
The Student will have $1668.14 at the end of 5 years. I broke it down by year I hope this helps

Pleaseeee helpppp meeee

Answers

Hi
Step-by-step explanation
1 pantbrush —————— 5,2x10^-3 kg
750 paintbrushes ——— x

x= 750 x 5,2x10^-3= 3,9kg

The DrJocker


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