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?

Each package has 18 granola bars.

This problem can be solved through a system of linear equations.

Let "x" be the total number of granola bars that each pack of granola has. Let "y" be the total amount of granola bars that each cafeteria has.

For cafeteria A: \(7x+12=y\)

For cafeteria B: \(3x+84=y\)

Since both equations are solved for y, we may take the argument at the left of the equal sign from both equations and equal them.

\(7x+12=3x+84\).

\(7x+12=3x+84\)

\(7x-3x=84-12\) --> Substract 3x and 12 from both sides.

\(4x=72\) --> Simplify by solving the substraction.

\(\frac{4x}{4} =\frac{72}{4}\)--> Divide both sides by 4.

\(x= 18\)

\(y=7(18)+12\\ \\y=138.\)

If a system of linear equations was created, where 2 equations that gave the number of granola bars that each cafeteria has, then the x value obtained when the system was solved, indicates the amount of granola bars that each cafeteria has in each package. Each package has 18 granola bars.

Answer:

A

Step-by-step explanation:

y -2 = -5/6(x -3)

y-2 = -5/6x + 15/6

y = -5/6x + 27/6

y = -5/6x + 9/2

Answer:

It would be the graph that has an intersection at the point (5,1) the attachment is what it should look like since you didn't show the graphs

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

We have,

We can use trigonometry to solve this problem.

          C

        /   \

       /     \

      /θ     \

     /         \

    /           \

   A-------------B

          50 ft

In this diagram, A represents the launch pad, B represents the maximum altitude of the rocket, C represents the position of the photographer, and θ represents the angle at which the tripod should be set.

We want to find θ.

First, we can find the height of the triangle ABC using the Pythagorean theorem:

AB² = AC² + BC²

200² = AC² + 50²

AC² = 200² - 50²

AC = √(200² - 50²)

AC = 190.526 ft

Next, we can use the tangent function to find θ:

tan(θ) = opposite/adjacent = AB/BC = 200/50 = 4

Taking the arctangent of both sides, we get:

θ = \(tan^{-1}(4)\)

θ = 75.96 degrees

Therefore,

The photographer should set the tripod at an angle of approximately 75.96 degrees to get a picture of the rocket at its maximum altitude.

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Answer:

4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8

Step-by-step explanation:

Answer:

4. 254.47ft^3

5. 4247.43yd^3

6. 21714.69 in^3

7. 4712.39 ft^3

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

$211.9

Step-by-step explanation:

77 MARKERS x 0.70 EACH = 53.9

30 RULERS x 1.95 EACH = 58.5

1 projector x 99.95 = 99.95

53.9 + 58.5 + 99.95 = $211.9

Answer: She spent $212.35

Step-by-step explanation:

77 markers for $0.70 each. 30 rulers for $1.95 each, and a projector for 99.95.

Multiply 77 by 0.70 giving you $53.90 spent on markers.

Then multiply 30 by 1.95 giving you $58.50 spent on rulers.

Add these totals to the cost of the projector and get a grand total of 212.35.

Answer:

130 minutes

Step-by-step explanation:

They watched 50% of movie, means 50% left unwatched

Remaining length = 65 minutes = 50% of movie

Movie length = 65 *2 = 130 minutes

Answer:

Option B. 4

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60 °

Opposite (Fe) = 4√3

Adjacent (DE) = x

The value of x can be obtained by using the Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 60 = 4√3 / x

√3 = 4√3 / x

Cross multiply

√3 × x = 4√3

Divide both side by √3

x = 4√3 /√3

x = 4

Thus, the length of DE is 4

Answer:

4.8 hours

Step-by-step explanation:

6=10$

divide by 10

0.6=1$

multiply by 8

4.8=8$

Answer:

4.8

Step-by-step explanation:

Well, if you work for 6 hours, and earn 10$, then, you are earning 10/6$ per hour. So, we can estanblish the equation:

10/6$ * x hours = 8$.

x = 4.8 hours.

SOLUTION

In this question, we are meant to simplify the question:

= -4 ( 2x - 3 ) + 10 x

= - 8 x - 12 + 10 x

= 10 x - 8x - 12

= 2x - 12

CONCLUSION: The correct answer is 2x - 12 ..............OPTION C

Answer:

The answer I got was: (0.4,0)

The first debt that Alice would have to pay based on the Stack method would be the third debt. Option C

From the stack method, the debt that Alice would have to pay off first would be the debt that has the highest interest rate.

The amount of 150 dollars would then be added to the debt that has the second highest rate.

Hence the amount of debt that would be paid off first would be the first debt based on the stack method.

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An independent variable studied by using related samples in all conditions is called a within subjects factor.

An independent variable is defines as the variable that is modified or controlled in a scientific experiment. It reflects the rationale or cause for an outcome.

The variables that the experimenter adjusts to test their dependent variable are known as independent variables. A change in the independent variable has a direct effect on the dependent variable. The impact on the dependent variable is assessed and documented.

Examples of Independent Variables

A scientist is experimenting with the effect of light and dark on the behaviour of moths by turning on and off a light. The amount of light is the independent variable, while the moth's reaction is the dependent variable.

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Answer:

A

Step-by-step explanation:

Both have the same outcome 22.4

Answer:

The square root of 500

Step-by-step explanation:

First, let's solve 10 times the square root of 5

Well, the square root of 5 is about 2.

10 times 2.2361 is 22.361

So, we just have to find which of the options has the same answer

The square root of 500 is 22.361, so it is correct

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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The percentage of this sample who watches 15 or more hours of television is 166.25%.

The continuous series is the third series, followed by the individual series and the discrete series. This is also known as frequency distribution. Under this series we have X and F, where F is the frequency, i.e. the number of times X is repeated.

The samples represent continuous series distribution.

The people who watched TV for less than 5 hours are the sum of the length of a bar of class intervals 1-2, 2-3, 3-4, and 4-5.

Hence, the number of students who watch TV for less than 15 hours =

10+ 15+ 20+ 35 = 80.

Since there total of 133 people, then the percentage of people watching tv is more than 15 hours.

133/80 ×100

= 665/4 = 166.25%

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She walked 3 1/4 miles per day.

Given,

Jane walked 9 3/4 miles in the course of 3 days.

If we calculate this mixed number into a fraction,

We get:

9 3/4 miles = {(9×4)+3} / 4 miles

=39/4 miles.

So, Jane walks 39/4 miles in 3 days.

Therefore, in one day she walked:

(39/4 ÷ 3) miles

= 13/4 miles per day

Let's now convert this fraction into a mixed number:

when 13 is divided by 4 we get the remainder as 1 and the quotient as 3.

So, a mixed number is given by:

quotient remainder/divisor

Hence 13/4 = 3 1/4.

So, Jane walked 3 1/4 miles per day.

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Assumptions for above case:

1-Equal payments are made monthly.

2-Total amount deposited throughout the year are compounded by end of the year.

3-Annual interest is 6%

4-Total Amount invested plus interest at maturity are reinvested the following year.

Given above, if you create a table in excel for those calculations, you would get $296.330 /month which amounts to $12,000.00 in 3 years approximately.

Year 1 = $3,555.96 Pre-interest =>$3769.32 Post 6% interest

Year 2 = $7,325.28 Pre-interest =>$7,325.28 Post 6% interest

Year 3= $11,320.75 Pre-interest =>$12,000.00 Post 6% interest.

The way to calculate pre interest for each year is just $296.330*12=$3555.96

Afterwards just multiply by the annual interest rate to get the full amount invested + interest (6%) =>$3555.96*(1.06)= $3769.32

Then As per step 1, add another 3555.96 and multiply it all by 1.06, to get 305.06

x = $305.06

Answer:

100/129

0.7751937984...

Step-by-step explanation:

Answer:

3/3.87 = .77519

It worries me that your account says you are in college and you don't know how to use a calculator.

Answer:

∠B=∠D, ∠C=∠E, ∠A=F.

Step-by-step explanation

FE/AC=6/8=3/4, FD/AB=9/12=3/4,DE/BC=13.5/18=3/4. Since all proportions are equal to 3/4, the corresponding side lengths are proportional.

so when we add to the function outside of the parentheses of (x)^3, we are moving the graph in the up down direction so it would look like x^3 but shifted up 2 units. the way to easily know which one it is, plug in zero for x in the original and 0^3 is zero so we know the original fuction will go through the origin so the function who's center is is only shifted up (because it's positive 2) two units so graph 1

note: the reason i know that what looks like a center point is actually at the origin is because f(x)= x^3 is a very famous graph that you should know the shape of :)

Answer:

See attached image

Step-by-step explanation:

Attached

The percentile of Tomijia's scores is her score as a percentage

If Tomijia received an 89 on the test, she is in the 70th percentile

The score of the tests are given as:

42, 44, 56, 71, 74, 83, 89, 90, 90, 92

From the above list of scores, the score 89 is at the 7th position.

So, we have:

Tomijia = 7/10

Express as percentage

Tomijia = 70%

Hence, if Tomijia received an 89 on the test, she is in the 70th percentile

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Answer:

Step-by-step explanation:

-7z-3.5+4.5z+3y-2.5, grouping like terms

-7z+4.5z+3y-3.5-2.5

-2.5z+3y-6

Answer:

This equals (2x-9), you cannot simplify it more because it's a variable and number.  They have to both be numbers without variables or both variables to simplify.

Step-by-step explanation:

? This makes no sensibility.....

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.

Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'

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Answer:

D, E, and F

Step-by-step explanation:

✔️Statement D is true:

Rationale: m<4 is more than 90°, while m<2 is less than 90°. Therefore m<4 is greater than m<2

✔️Statement E is true:

Rationale: m<4 is more than 90°, while m<1 is less than 90°. Therefore m<4 is greater than m<1

✔️Statement F is true:

Rationale:

m<4 is an external angle of the triangle.

m<1 and m<2 are interior angles that are opposite to m<4. Therefore, based on the external angle theorem of a triangle,

m<4 = m<1 + m<2

Answer:

B. 2\(\pi\)r  

Step-by-step explanation:

Answer:

9.2

Step-by-step explanation:

8×1.15 = 9.2

I think..

Question:

Ahmed multiplies 8 by 1.15. Which number is he trying to find?

______________________________________________

Solution:

On multiplying 8 by 1.15, we get,

= 8 * 1.15

= 1¹ . 1⁴ 5

* 8

9 . 2 0

To the power 1 and 4 show that 1 and 4 carried over.

Hence the number he is trying to find is 9.20 or 9.2.

Answer:

2.75 ft

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation: