A taco shop sells tacos and fountain drinks.
Nash bought two tacos and three fountain drinks
for $13. Everly bought four tacos and two
fountain drinks for $14. Write and solve a
system of equations to determine the cost of a
taco and a fountain drink.

Answers

Answer 1

The cost of one taco is $2, while the cost of one fountain drink is $3.

What are the system of equations that represent the question?

2t + 3f = $13 equation 1

4t + 2f = $14 equation 2

Where:

t = number of tacos bought f = number of drinks boughtHow many drinks were bought?

Multiply equation 1 by 2:

4t + 6f = 26 equation 3

Subreact equation 2 from equation 3

4f = 12

Divide both sides by 4

f = 12 / 4

f = $3

How many tacos were bought?

Subsistute for f in equation 1

2(t) + (3 x 3) = $13

2t + 9 = 13

2t = 13 - 9

2t = 4

t = 4/2

t = $2

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Related Questions

What is the area of the figure?

Answers

Step-by-step explanation:

take the rectangle as whole with dimensions 16*8

area = 128 in^2

area of rectangle of dimensions 10*2 =20

required area = 108 in^2

.......................

Answers

There are 23 dots in your question

SIMPLE ALGEBRAICE FRACTIONS
A computer shop displays a total of 50 type A and type B mice. The cost of a type A mouse is $6 and that of a type B mouse is $13. If the total cost of both types of mice is $433, find the number of type A mice displayed.​

Answers

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let a represent the type A and b represent the type B, hence:

a + b = 50    (1)

Also:

6a + 13b = 433     (2)

a = 31, b = 19

There are 31 type A mice and 19 type B mice in the computer shop costing about $433.

Find out more on equation at: https://brainly.com/question/1214333

HELP! WILL GIVE BRAINLEST!

Answers

Answer:

option c

Step-by-step explanation:

pi/2 is the answer

What’s the distance between (-5,-3) and (-2,11)

Answers

Answer: 14.3178210633

Step-by-step explanation: d=√((x_2-x_1)²+(y_2-y_1)²)

Levi just started a running plan where he runs 8 miles the first week and then
increases the number of miles he runs by 5% each week. If he keeps up this plan for
19 weeks, how many total miles would Levi have run, to the nearest whole number?

Answers

Answer:

244 miles (nearest whole number)

Step-by-step explanation:

We can model this as a geometric series.

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common difference)

Given information:

Miles run in first week = 8Weekly increase of miles = 5%Total number of weeks in plan = 19

Therefore:

[tex]a[/tex] = 8[tex]r[/tex] = 1.05[tex]n[/tex] = 19

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

Therefore, sum of the first 19 terms:

[tex]\implies S_{19}=\dfrac{8(1-1.05^{19})}{1-1.05}[/tex]

[tex]\implies S_{19}=244.3120313...[/tex]

So Levi ran a total of 244 miles (to the nearest whole number)

What is the exact circumference of the circle?

10T ft

20T ft

40T ft
60r ft

Answers

Answer:

60r ft

Step-by-step explanation:

If it is wrong correct me if it is correct pls mark me as brainliest pls

Complete the equation so that it has solutions of –5 and 7. x2 x = 0

Answers

The equation it has solutions of –5 and 7  is x^2-2x-37=0

We have equation

solutions of equation are –5 and 7.

We have to find complete the equation.

We have given that solutions of the equation are -5, 7.

The standard form of a quadratic equation.

What is the factor of the quadratic equation?

[tex](x -\alpha) (x- \beta)[/tex]

Where we have

[tex]p = -(\alpha+\beta) and q = (\alpha\times \beta)[/tex]

So, roots are

[tex]( x- (-5)) (x-7)[/tex]

[tex]p = -( -5+7)[/tex] , [tex]q =(-5)(7).[/tex]

[tex]p = -2 and q = -35.[/tex]

On substituting p and q in equation

[tex]x^2+(-2)x-37=0[/tex]

[tex]x^2-2x-37=0[/tex]

Therefore,x^2-2x-37=0  is the equation of solution -5,7.

To learn more about the quadratic factor visit:

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Answer:

-2, -35

Step-by-step explanation:


16. Higher Order Thinking
a. Find the value of x given that rls.
m21 = (63 - x)º
m22 = (72 - 2x)
2
b. Find mz1 and m22.

Answers

Answer:

[tex]\red{ \bold{m \angle \: 1 = 54 \degree}} \\\: \purple{ \bold{m \angle \: 2 = 54 \degree}} [/tex]

Step-by-step explanation:

[tex](a) \: \: \: \\ r || s \: \: \: (given) \\ \implies \: m \angle \: 1 = m \: \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: (63 - x) \degree = (72 - 2x) \degree \\ \implies \: 63 - x = 72 - 2x \\ \implies \: 2x - x = 72 - 63 \\ \implies \: \huge \orange{ x = 9} \\ \\ (b) \\ m \angle \: 1 = (63 - x) \degree \\ \implies \: m \angle \: 1 = (63 - 9) \degree \\ \implies \: \red{ \bold{m \angle \: 1 = 54 \degree}} \\ \implies \: \purple{ \bold{m \angle \: 2 = 54 \degree}} \\ ( \because \: m \angle \: 1 = m \: \angle \: 2)[/tex]

How many ways are there to write 10 to the power of 7? How many ways are there to write 10 to the power of 8? Please, I need help.

Answers

There is only one way to do power of 10 the answer would be 70 and80.

What is the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn? (2π 28) mm2 (2π 32) mm2 (2π 40) mm2 (2π 48) mm2

Answers

The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².

What is the area of the semicircle?

The area of a semicircle is the space contained by the circle. The area is the number of square units enclosed by the sides of the shape.

The area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is given by adding an  area of MKCD , area of ABCD, area of a semi-circle with AB as diameter.

Area of the composite figure = area of MKCD + area of ABCD + area of a semi-circle with AB as diameter.

The area of the composite figure is;

Area A = (DC + MK)/2 × DN + AB² + (1/2)×π×2²

Area A = (4 + 8)/2 × 4 + 4² + (1/2)×π×4

Area A = 24 + 16 + 2π = (2π + 40) mm²

Hence, the area of the composite figure if ab ≅ bc ≅ cd ≅ da ≅ dn is (2π + 40) mm².

To know more about the area of the semicircle click the link given below.

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A binomial experiment has 6 trials in which p = 0.85. What is the probability of getting at least 4 successes?
A) 0.9527
B) 0.9178
C)0.4554

Answers

Answer:

0.9527

Step-by-step explanation:

Once again, if Brainly would stop deleting my answer for no reason, your answer is 0.9527. OKAY! ...okay

The binomial probability for getting at least 4 successes is 0.955

What is binomial probability?

The probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes is called binomial probability.

Binomial probability formula

[tex]P_{x} = nC_{x} p^{x} q^{n-x}[/tex]

Where,  

P is the binomial probability

x is the number of times for a specific outcomes within n trials

[tex]nC_{x}[/tex] is the number of combinations

p is the probability of success in a single trial

q is the probability of failure on a single trial

n is the number of trials

Let p denote the probability of getting success in a single trial and q denotes the probability of failure in a single trial.

And let x be a random variable denoting the number of success.

According to the given question.

We have

[tex]p = 0.85[/tex]

⇒[tex]q = 1- 0.85 = 0.15[/tex]

Also,

n = 6

Therefore,

The  binomial probability of getting at least 4 success

[tex]=P(x\geq 4)[/tex]

[tex]=P(x=4)+P(x=5)+P(x=6)[/tex]

[tex]= 6C_{4} (0.85)^{4} (0.15)^{2} + 6C_{5} (0.85)^{5} (0.15)^{1}+ 6C_{6} (0.85)^{6} (0.15)^{0}[/tex]

[tex]=\frac{6!}{4!21} (0.522)(0.0225)+\frac{6!}{5!1!} (0.443)(0.15)+\frac{6!}{6!0!} (0.4)[/tex]

[tex]=15(0.011)+6(0.066)+1(0.4)[/tex]

[tex]=0.165+0.396+0.4\\=0.955[/tex]

Hence, the binomial probability for getting at least 4 successes is 0.955

Thus, option A is correct.

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#SPJ3

8x + y = -16
-3x + y = -5

Answers

Answer:

Graph= (-1,-8)

y= -8

x=-1

Step-by-step explanation:

Luis starts to do a division problem and notices that there is a pattern in the digits to the right of the decimal point.


This number is _____.


A. Natural

B. Irrational

C. An integer

D. Rational

Answers

The number is rational because there is a pattern

Answer:

D. Rational

Step-by-step explanation:

A rational number is any number that can be written as a decimal or a fraction.

Hope it helped!

Which of the following statements correctly describes the items shown below?
A. Both functions are increasing and have different rates of change.
B. Both functions are increasing and have the same rates of change.
C. Both functions are decreasing and have the same rates of change.
D. Both functions are decreasing and have different rates of change.

Answers

A because ik its correct

Write a paragraph describing your zipline. Include the 5 components below. * Zipline's Name *Setting *Description of point A and how the zipliner would get to that height. (climbing ladder , higher ground , etc) Zipline Safety Landing (How would the zipliner land safely? Stop block, brakes, etc) *Names of Three Locations for points A, B and C. The zipliner will move through these 3 locations marked by these 3 points. A:(5, 25), B / (65, 19) and C: (105, 14) .

Answers

Answer:

A

Step-by-step explanation:

because it A because I can done that fast

Please help me with this math problem!! Will give brainliest!! NO LINKS PLEASE!! Thanks!! :)

Answers

Answer:

The sum of all the sides to this quadrilateral will equal a total of 20 inches, so you set up the equation:

2 + 2x + 7 + x + 2 = 20

Solve for x by combining like terms;

(2 + 7 + 2) + (2x + x) = 20

Which simplifies to;

11 + 3x = 20

Get rid of constants;

-11          -11

3x = 9

Isolate x by getting rid of it's coefficient;

/3  /3

x = 3

Now, to find the length of PQ, we plug in the value of x(3) into the equation that contains the line PQ.

x + 2

3 + 2

= 5 inches.

Now, to find the length of RS, we plug in the value of x(3) into the equation that contains the line RS.

2x

2(3)

= 6 inches.

I NEED THIS ASAP…. mathematician simplifies the expression mentally.
12(-72) +41(-3-32)
What is the best estimate of the value of the expression?
А
-2,100
B
-700
C 700
D D 2,100

Answers

Answer:

The answer is exactly -2,299. But since this is a mental math question it's okay if it's not the exact answer. The answer would be "A"

The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of the rectangle?

Explain or show work please

Answers

Step-by-step explanation:

Set the parameters,

Let the width be 'X' inhes

Therefore,

Length = "5X" inches

According to the given condition,

Perimeter = sum of the sides = 2(l+b) = 40 inches,

Equation = 2(5X+X) = 40

2(6X) = 40

12X= 40

X= 3.33

Therefore,

Width = X = 3.33 inches

MARK ME AS BRAINLIST

MATH
THIS
IS URGENT PLS

Answers

3a. Area  = 2 (5×7 + 5×3 + 7×3)

3b. Area = 2 (6×6 + 6×5 + 6×5)

3c. Area = 2 (6.5×10 + 6.5×3 + 3×10)

4a. Area = 2(1/2 × 4 × 6) + 2(7×5) + 7×6

4b. Area = 2(1/2 × 6 × 6) + 2(10×8.5) + 10×6

4c. Area = 2(1/2 × 10.2 × 3.6) + 15×8.3 + 15×4.5 + 10.2×15

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

[tex]4 \frac{2}{3} - 4 \frac{1}{3} = \\ [/tex]

[tex] \frac{1}{3} \\ [/tex]

Thus the true answer is option A .

how to turn 6/2 into proper fraction

Answers

Hey there!

6/2

= 6 ÷ 2 / 2 ÷ 1

= 3 / 1

= 3 ÷ 1

= 3


Therefore, your answer should be:

3


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Paul's skateboarding competition will start at 11:30 a. M. , but the competitors

must arrive at the skate park three-quarters of an hour early to warm up. The

competition must end by 1:30 p. M.

Paul says he has to be at the skate park at 9:30 a. M. Is Paul correct? Explain

your answer.

Answers

Answer:

No, Paul is not correct.

Step-by-step explanation:

The competition starts at 11:30am.  9:30am is 2 hours before.

1/4 of an hour is 15 minutes, 1/2 an hour is 30 minutes, 3/4 of an hour is 45 minutes

So, Paul needs to get there 45 minutes before the 11:30am start time.

Paul needs to get there at 10:45am

Find the median and mean
40, 4, 12, 15, 45, 16

Answers

Answer:

15.5 is the median.

The mean of the data is 22

Step-by-step explanation:

First, the median of a data set is found by sorting the numbers in order, from least to greatest. Then you count inwards one at a time on both sides until you reach a center number.

4 , 12, 15, 16, 40, 45

     12, 15, 16, 40

          15, 16

               15.5

This means, 15.5 is the median

Next, to find the mean, you add up all the numbers and divide it by however many numbers there are. In this case there are 6 numbers, so we divide the total by 6.

40 + 4 + 12 + 15 + 45 + 16 = 132

132 / 6 = 22

The mean of the data is 22

Answer:

Mean: 22

Median: 15.5

Step-by-step explanation:

hope this helps :)

For every $1 increase in the price per scarf, Sofie's profit changes by an average of $

Answers

Answer:

True, because if price changes, dod oes average of money. So if you get 5 bucks per 10 scarfs, you'll get 5.50$ for 11 scarfs

Step-by-step explanation:

Lets just say she gets half of what the actual cost is. In total.

Answer:

This is true

Step-by-step explanation:

pls answer this question for me

Answers

Answer:

160 bottles of water

Step-by-step explanation:

Because c stands for how many cases of water she orders, you replace c in the equation b = 20c with 8. It would then be b = 20(8) which would be b = 160. Because b stands for the total number of bottles, that means the total number of bottles is 160.

An equation has solutions of m = –5 and m = 9. which could be the equation? (m 5)(m – 9) = 0 (m – 5)(m 9) = 0 m2 – 5m 9 = 0 m2 5m – 9 = 0

Answers

An equation is formed of two equal expressions. The equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

As it is given that the solution of m is -5 and 9. Therefore, the equation which will represent the solution of m as -5 and 9 is

(m+5)(m-9)=0

Hence, the equation that has solutions of m=–5 and m=9 is (m+5)(m-9)=0.

Learn more about Equation:

https://brainly.com/question/2263981

WHat is the angle of the rotation of the following figure?

Answers

Answer:

I pretty sure it's 45 degrees from the information that you gave me.

Step-by-step explanation: The total is a circle and you have 8 little triangles. You divide 360 (what a circle is) by 8 (number of triangles). The quotient will be 45 degrees. That's the answer 45 degrees.

help please

A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram.

a) 90cm3
b) 208cm3
c) 29cm3
d) 480cm3​

Answers

Answer:

The answer is d) 480cm³

Step-by-step explanation:

3 x 10 x 16 = 480cm³

30 points Helppppp!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals




degrees

Answers

Answer:

please see photo above for details

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