At a particular fast food restaurant, tacos cost $1.29 and
burritos cost $2.19. Michael spent a total of $42.93 at the
restaurant to buy food for a party. If he purchased half as
many burritos as tacos, how many tacos did he buy?

Answers

Answer 1

Answer:

9 burritos and 18 tacos

Step-by-step explanation:

We can start this problem by assigning a variable to our unknowns.

Let's name x the number of burritos he buys.

The question states he buys half as many burritos as tacos.

Therefore, the number of tacos he bought is 2x.

Let's set up an equation.

(Cost of burrito)(number of burritos)+(Cost of taco)(number of tacos)=Total Cost

2.19x+1.29(2x)=42.93

Simplify

2.19x+2.58x=42.93

4.77x=42.93

x=9

Michael bought 9 burritos.

2*9=18

Michael bought 18 tacos.

Answer 2

Answer:

[tex] \displaystyle 18[/tex]

Step-by-step explanation:

we are given that,

tacos cost $1.29 burritos cost $2.19Michael spent a total of $42.93he purchased half as many burritos as tacos

let the number of tacos and burritos be t and b respectively

according to the 3rd condition we get:

[tex] \displaystyle 1.29t + 2.19b = 42.93[/tex]

according to the 4th condition we obtain:

[tex] \displaystyle t = 2b[/tex]

therefore our system of linear equation is

[tex]\begin{cases}\displaystyle t=2b \\ \displaystyle 1.29t + 2.19b = 42.93\end{cases}[/tex]

so now we end up with a system of linear equation in order to solve the equation we can consider substitution method

so substitute the value of t which yields:

[tex] \displaystyle 1.29 \cdot 2b+ 2.19b = 42.93[/tex]

simplify multiplication:

[tex] \displaystyle 2.58b+ 2.19b = 42.93[/tex]

since we have same variable we can consider the like terms:

[tex] \displaystyle 4.77b = 42.93[/tex]

divide both sides by 4.77:

[tex] \displaystyle \frac{4.77b }{4.77}= \frac{ 42.93}{4.77}[/tex]

reduce fraction:

[tex] \displaystyle \bcancel{ \frac{4.77b }{4.77}}= \cancel \frac{ \stackrel{ \large9}{ 42.93}}{4.77}[/tex]

[tex] \displaystyle b = 9[/tex]

now substitute the value of b:

[tex] \displaystyle t = 2.9[/tex]

simplify multiplication:

[tex] \displaystyle t =18[/tex]

hence,

he bought 18 tacos


Related Questions

3. Which of the following values is closest
to the diameter of a circle with an area of
314 square inches?
a. 20 inches
b. 10 inches
c. 100 inches
d. 31.4 inches

Answers

The closest to the diameter is 20 inches!

Question
Use the Quotient Rule of Logarithms to write an expanded expression equivalent to ln(2/7).Make sure to use parenthesis
around your logarithm functions log(x + y).
Provide your answer below:

Answers

Answer:

ln(2) - ln(7)

Step-by-step explanation:

Logarithmic expressions are represented using ln or log keywords

The expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

The expression is given as:

[tex]\mathbf{ln(2/7)}[/tex]

The quotient rule of logarithm states that:

[tex]\mathbf{ln(a/b) = ln(a) - ln(b)}[/tex]

So, by comparison:

a = 2, and b = 7

So, we have:

[tex]\mathbf{ln(2/7) = ln(2) - ln(7)}[/tex]

Hence, the expanded expression of ln(2/7) is [tex]\mathbf{ln(2) - ln(7)}[/tex]

Read more about logarithms at:

https://brainly.com/question/9665281

y-5=4x and y=4x-5 has no solution true of false?

Answers

y-5=4x and y=4x-5 has no solution so that would be true.

Based on the survey results, there is a probability that a randomly selected person will feel guilty about wasting food and a probability that a randomly selected person will feel guilty about leaving lights on when not in a room. Moreover, there is a probability that a randomly selected person will feel guilty for both of these reasons.

Required:
a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?
b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answers

This question is incomplete, the complete question is;

he Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make them feel guilty (Los Angeles Times, August 15, 2012).

Based on the survey results, there is a 0.39 probability that a randomly selected person will feel guilty about wasting food and a 0.27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room.

Moreover, there is a 0.12 probability that a randomly selected person will feel guilty for both of these reasons.

Required:

a. What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both (to 2 decimals)?

b. What is the probability that a randomly selected person will not feel guilty for either of these reasons (to 2 decimals)?

Answer:

a)

the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

Step-by-step explanation:

Given the data in the question;

lets A represent person feels guilty about wasting food and B represent leaving the light on when not in room;

probability; feel  guilty about wasting food P(A) = 0.39

probability; feel guilty about leaving light on P(B) = 0.27

probability; feel guilty for both P(A ∩ B ) = 0.12

a)

probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both

p( A ∪ B ) = P(A) + P(B) - P(A ∩ B )

we substitute

p( A ∪ B ) = 0.39 + 0.27 - 0.12

p( A ∪ B ) = 0.54

Therefore, the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room or both is 0.54

b)

probability that a randomly selected person will not feel guilty for either of these reasons;

p( A ∪ B )' = 1 - p( A ∪ B )

p( A ∪ B )' = 1 - 0.54

p( A ∪ B )' = 0.46

Therefore, the probability that a randomly selected person will not feel guilty for either of these reasons is 0.46

I need help answering this question above! Nobody is answering it

Answers

Answer:

(54, 27)

Step-by-step explanation:

2y will represent the larger number.

2y + y = 81

3y = 81

y = 27

x = 2y

x = 2(27)

x = 54

x = 54

y = 27

(54, 27)

Will give brainliest

Find the area of this triangle.
Round to the nearest tenth.
7 in
133
13 in
[ ? ) in2

Answers

Answer:

33.3 in²

Step-by-step explanation:

Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C

Where,

a = 7 in

b = 13 in

C = 133°

Plug in the values

Area = ½*7*13*Sin(133)

Area = 33.2765935 ≈ 33.3 in² (nearest tenth)

Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d

Answers

The value is C because it represents the shift

Find the unknown number 3m = 0.27

Answers

Answer: 0.09

Step-by-step explanation:

Divide 0.27 by 3

M=.09

HURRY FAST LOOK AT THE PHOTO TRUE OR FALSE

Answers

That is true. 4 and 5 are corresponding angles.

What is the range of y=4sin(x)-2

Answers

Answer:

According to me it should be -6 [tex]\leq[/tex] y [tex]\leq[/tex] 2.

Step-by-step explanation:

PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?

Answers

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

4 x’s for 1/4
2 x’s for 2/4
1 x for 3/4
2 x’s for 1

Answer:

4 x’s for 1/4

2 x’s for 2/4

1 x for 3/4

2 x’s for 1

Step-by-step explanation:

What is the area of the following figure in square inches?

Answers

Answer, Alright the formula for a Rectangle is (A = bh) so ill do ( 13 x 8 ) = 104. Next ill do the triangle 19 - 13 is 6 which is the height of the triangle. The formula for a triangle is ( 1/2bh ) so lets do (6 x 8 ) which is 48 now lets divide it by 2...24.

24 + 104 = 128

Step-by-step explanation:

First, I split the Square from the Traingle

Second, I did base times height which equaled  (104)

Third, I found the area of the triangle by base times height divided by 2.(24)

Lastly, I added the figures up which equaled 128

Write rational numbers between 0 and 1
-----------------------------------------------------------------------------------------
please also say how did you solve it
this question has 20 points
I will mark you as Brillant if you answer it

Answers

Answer:

There are infinite rational numbers between 0 and 1. To list a few, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,

There are infinite rational numbers between 0 and 1. To list a few, we have,0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8, 0.9,0.01, 0.02, 0.03, 0.04, 0.05, 0.06, 0.07, 0.08, 0.09,0.001, 0.002, 0.003, 0.004, 0.005, 0.006, 0.007, 0.008, 0.009, ……and so on.Between 0.1 and 0.2, there are infinite number of rational numbers.0.11, 0.12, 0.13, 0.14, 0.15, 0.16, 0.17, 0.18, 0.19,0.101, 0.102, 0.103, 0.104, …Again, between 0.11 and 0.12, we have,0.111, 0.112, 0.113, … , 0.119, …This goes with saying,“Between any two real numbers a and b, there are an infinite number of real numbers.”

Step-by-step explanation:

please mark me as brainliest answer

how does physical activity improve school achievement​

Answers

Answer:

Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

all but the middle

Step-by-step explanation:

did this on a test an got 100%

Answer:

You have negetive points

Step-by-step explanation:

If I have 2 apples and take away 1 apple, how many peanuts do I have left?

Answers

Answer:

Cannot be determined with the information given in and of itself.

Step-by-step explanation:

You would have 1 apple left. However, there is absolutely no information given about the original amount of peanuts, how many peanuts are given to you, how many peanuts are taken from you, how many apples to a peanut, etc. etc. No answer in peanuts can be given.

I would appreciate Brainliest, but no worries.

Answer:

0

Step-by-step explanation:

if you have 2 and you take one away you have 1,

you'll have 0 peanuts since apples can't become peanuts, unless you have them already or buy them; apples won't help you get peanuts.

What is the slope of the line that passes through the points (1, -2) and (3, -5)?
A 2/7
B 7/2
C -2/3
D -3/2

Answers

slope= (y2-y1)/(x2-x2)

(-5-(-2))/(3-1)
- negative 2 would become a positive
(-5+2)/(2)
-3/2

the answer is d

Can someone please give me this answer

Answers

Answer:

42°

Step-by-step explanation:

According to Exterior Angle Theorem,

an exterior angle of a ∆ is equal to the sum of the opposite interior angles.

So,

h+96°=138°

h=138°-96°

h=42°

I need someone to write me a narrative on how to solve this problem please!

Answers

DONT TRUST LINKS PEOPLE GIVE YOU!! It is used to steal personal information.

If 5% of a number equals 8, find 50% of that number.

Answers

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80



Someone actually help me w this ☝

Answers

Answer

Sorry If this is not correct, but I believe you keep the X varriable the same and multiply the Y varriable by 4. This means it will move to the right on the grid.

New coordinates: G(3,4) T(1,4) B(3, 20)

PLEASE HELP !!!! ILL GIVE BRAINLIEST !!!

Answers

Answer:

x=15

Angle (5x+6): 81

Angle (8x-39): 81

Step-by-step explanation:

5x+6=8x-39

add 39 to both sides

5x+45=8x

-5x on both sides

45=3x

divide both sides by 3

x=15

56 + 72 = ( + )
help plz

Answers

Answer:

128 = +

Step-by-step explanation:

56 + 72  = 128 (+)

PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED.

Answers

Answer:

Its A

Step-by-step explanation:

Standard equation: y=mx+b

x+y=0

-x    -x

y=-x+0

Professor Gym conducts a study in which he determines that there is a correlation of​ +1.32 with 15 degrees of freedom between the speed of a dodge ball and the welt inflicted on the arm of the dodge ballers. He has now come to you for help with interpreting his results. What can you tell​ him?

Answers

Answer:

Formula

r =\frac{\sum\left(x_{i}-\bar{x}\right)\left(y_{i}-\bar{y}\right)}{\sqrt{\sum\left(x_{i}-\bar{x}\right)^{2} \sum\left(y_{i}-\bar{y}\right)^{2}}}

r = correlation coefficient

x_{i} = values of the x-variable in a sample

\bar{x} = mean of the values of the x-variable

y_{i} = values of the y-variable in a sample

\bar{y} = mean of the values of the y-variable

now try btw use a calcutator

-4x + 3y = -2

Y = x - 1

Answers

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  -4x + 3(x - 1) = -2[Distributive Property] Distribute 3:                                                                 -4x + 3x - 3 = -2Combine like terms:                                                                                         -x - 3 = -2[Addition Property of Equality] Add 3 on both sides:                                     -x = 1[Division Property of Equality] Divide -1 on both sides:                                 x = -1

Step 3: Solve for y

Substitute in x [Original Equation]:                                                                  y = -1 - 1Subtract:                                                                                                            y = -2

What is the area of this semicircle if the radius is 6m?

Answers

Semicircle = half area of circle
Area of circle: pi * r^2
pi = 3.14, r = 6
3.14 * 6^2 = 113.04/2 = 56.52
The area of the semicircle is 56.52 m^2

D. Write an original equation and solve.
Eight fewer than twice the sum of x and 4 is 10.

Answers

Answer:

2(x+4) - 8 = 10

Step-by-step explanation:

the sum of x and 4: x+4

twice the sum of x and 4: 2(x+4)

eight fewer than twice the sum of x and 4: 2(x+4) - 8

eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10

increase 70 in ratio 3:2​

Answers

i believe the answer is 105
The answer is 105 hope this helps
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