Jordan and Carson go to the movie theater and purchase refreshments for their friends.

Jordan spends a total of $25.75 on 1 bag of popcorn and 3 drinks.

Carson spends a total of $81.25 on 4 bags of popcorn and 9 drinks.

Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.

Using these equations, determine and state the price of a drink, to the nearest cent.

Answer:

1340%

Step-by-step explanation:

Answer:

b and also whats a

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

3(y - 1) = 2x + 2

3y - 3 = 2x + 2

3y = 2x + 5

3y/3 = 2x/3 + 5/3

y = 2/3x + 5/3

Does that help?

Answer:

OC = 16.7 cm

OAB = 332.9 cm² (1d.p)

OABD = 589.9 cm²(1d.p)

ABD = 257.1 cm²

Step-by-step explanation:

It is given that OC is 90° perpendicular to the line AB. In order to find OC, you can use Trigonmoetric formula, cosθ = adj./hypo. :

cosθ = adj./hypo.

adj. = OC cm

hypo. = 26 cm

θ = 100° ÷ 2

= 50°

cos 50 = OC/26

OC = 26 cos 50

= 16.7 cm (1d.p)

Next, is to find the area of triangle OAB using A = (1/2)×a×b×sinc :

a = 26 cm

b = 26 cm

c = 100°

A = (1/2)×26×26×sin 100

=332.87 cm² (2d.p)

Then, find the area of sector OABD using A = (θ/360)×π×r² :

θ = 100°

r = 26 cm

A = (100/360)×π×26²

= 589.92 cm² (2d.p)

Lastly, to find the area of segment ABD, you can to substract the area of triangle from the area of sector :

A = 589.92 - 332.87

= 257.1 cm² (1d.p)

Answer:

1.25

Step-by-step explanation:

In India

Answer: D

Step-by-step explanation:

1 dollar a day

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5:10 and 10:15 simplify to: 1:2 and 2:3

8:12 and 18:27 simplify to: 2:3 and 2:3

9:15 and 24:30 simplify to: 3:5 and 4:5

6:20 and 7:30 simplify to: 3:10 and 7:30

The ONLY pair of equal proportions is the second one (8 : 12 and 18 : 27), making it the right answer

Answer:

Second one:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

5/10 , 10/15

1/2 , 2/3

Not constant, so not proportional

8 : 12 and 18 : 27

8/12 , 18/27

2/3 , 2/3

Constant, so proportional

9 : 15 and 24 : 30

9/15 , 24/30

3/5 , 4/5

Not constant, so not proportional

6 : 20 and 7 : 30

6/20 , 7/30

3/10 , 7/30

Not constant, so not proportional

if the picture was  bigger  i would be able to help could u get it a  bit bigger

---------------------------------------------------------

12 – 15x > 22

Suntract 12 from both sides:

12-15x-12 > 22-12

Simplify:

15x > 10

Multiply both sides by -1 (reverse the inequality):

(15x)(-1)<(10)(-1)

Simplify:

15x < -10

Divide both sides by 15:

15x/15 < -10/15

Simplify:

x < -2/3

Your Answer Is x < -2/3

plz mark me as brainliest :)

Answer:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

Step-by-step explanation:

The first step is to subtract 12 from both sides, like so:

12 - 15x > 22

-12           -12

__________

-15x > 10

Then, divide both sides by -15:

-15x > 10

x > [tex]\frac{-10}{15}[/tex]

Simplify:

x > [tex]\frac{-2}{3}[/tex]

When you multiply/divide by a negative number, you must flip the sign around. In this case, we divided by a negative number:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

Answer:Not very great probability

Step-by-step explanation:

   There is not a great probability because there are 8 yellow, 9 green, and 5 red. The less purple marbles there are, the less of a chance that a purple marble will be pulled from the bag because there are only three of the purple marbles.

Answer:

0.971

Step-by-step explanation:

i did it

To multiply the expression 6z^2 by the trinomial (7z^2+3z-2), distribute 6z^2 across each term in the trinomial to obtain 42z^4 + 18z^3 - 12z^2.

The student has asked to multiply the expression 6z2 by the trinomial (7z2+3z-2). To solve this problem, we'll apply the distributive property, which entails multiplying the term outside the parenthesis by each term inside the parenthesis.

Combine all the products to get the final expanded expression: 42z4 + 18z3 - 12z2.

The product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

To multiply [tex]\(6z^2\)[/tex] by the trinomial [tex]\(7z^2 + 3z - 2\)[/tex], you need to distribute [tex]\(6z^2\)[/tex] to each term inside the parentheses. Here's how you can do it stepwise:

1. Multiply [tex]\(6z^2\)[/tex] by the first term of the trinomial [tex](\(7z^2\))[/tex]:

[tex]\[ 6z^2 \cdot 7z^2 = 42z^4 \][/tex]

2. Multiply [tex]\(6z^2\)[/tex] by the second term of the trinomial [tex](\(3z\)):[/tex]

[tex]\[ 6z^2 \cdot 3z = 18z^3 \][/tex]

3. Multiply [tex]\(6z^2\)[/tex] by the third term of the trinomial [tex](\(-2\))[/tex]:

[tex]\[ 6z^2 \cdot (-2) = -12z^2 \][/tex]

Now, combine these results:

[tex]\[ 6z^2(7z^2 + 3z - 2) = 42z^4 + 18z^3 - 12z^2 \][/tex]

So, the product of [tex]\(6z^2\)[/tex] and [tex]\(7z^2 + 3z - 2\)[/tex] is [tex]\(42z^4 + 18z^3 - 12z^2\)[/tex].

Answer:

6.2

Step-by-step explanation:

Answer:

the answer is 6.2

Final answer:

To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.

Explanation:

To calculate the sample size required, we need to use the formula for standard error:

SE = σ/√n

In this case, we want the standard error to be less than 5 points, so we have the inequality:

5 > σ/√n

Multiplying both sides by √n, we get:

5√n > σ

Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:

5√n > 10

Dividing both sides by 5:

√n > 2

Squaring both sides of the inequality:

n > 4

So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5

Final answer:

To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.

Explanation:

The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.

To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).

To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.

Solving for n, we square both sides to obtain n > 4.

Thus, we need a sample size greater than 4.

However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.

Therefore, a sample size of at least 5 is needed.

The area of triangle DEF cannot be determined without specific measurements for the base and height. To find the area of a triangle, use the formula \( \frac{1}{2} \times \text{base} \times \text{height} \), and be attentive to significant figures.

To determine the measure of the area of triangle DEF, we would need specific information about the dimensions of the triangle, such as the base and the height. Without this information or a corresponding figure provided in the question, we cannot calculate the area. However, I can guide you on how to calculate it once you have the necessary dimensions.

To calculate the area of a triangle, the formula is \( \frac{1}{2} \times \text{base} \times \text{height} \). For example, if you have a triangle with a base of 166 mm and a height of 930.0 mm, the area would be \( \frac{1}{2} \times 166 \text{mm} \times 930.0 \text{mm} \). Make sure to convert the measurements to the same units if they are not already, and pay attention to the proper number of significant figures in your final answer.

https://brainly.com/question/27683633

#SPJ2

Final answer:

The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.

Explanation:

To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.

These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.

Given:

The number of elevations in Death Valley National Park is given below:

Zabriskie Point = 648 feet

Stovepipe Wells = 0 feet

Furnace Creek = -178 feet

Badwater Basin = -282 feet

To find the difference between the elevation at Zabriskie Point and Furnace Creek.

Formula

So,

The difference between the elevation at Zabriskie Point and Furnace Creek = (648-(-178)) feet

= 648+178 feet

= 826 feet

Hence,

The difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

The elevation difference between Zabriskie Point and Furnace Creek in Death Valley National Park is 826 feet, obtained by adding the positive elevations.

To find the difference between the elevation at Zabriskie Point and Furnace Creek in Death Valley National Park, follow these steps:

Use the formula for subtracting negative numbers:

Difference = Elevation at Zabriskie Point - (Elevation at Furnace Creek)

Given elevations:

Elevation at Zabriskie Point = 648 feet

Elevation at Furnace Creek = -178 feet

Substitute these values into the formula:

Difference = 648 - (-178) feet

Remember that subtracting a negative is the same as adding the positive:

Difference = 648 + 178 feet

Perform the addition:

Difference = 826 feet

Therefore, the difference between the elevation at Zabriskie Point and Furnace Creek is 826 feet.

Answer:

The hypotenuse is 14 m to the nearest meter.

Step-by-step explanation:

By Pythagoras:

h^2 = 12^2 + 8^2

h^2 = 208

h = √208

h = 14.4 m.

Answer:

its 14! hope this helps

Step-by-step explanation:

Answer:

well the diameter is half of the circle so radius is half of that

the formula for that is 3.14*r

so your answer should be 50.025

For the given cube, the length of the diagonal is given by:

[tex]d = \sqrt{27} cm[/tex]

For a cube of side length S, the diagonal of the cube is given by the expression:

[tex]d = \sqrt{S^2 + S^2 + S^2} = \sqrt{3}*S[/tex]

In this case, the side length is equal to 3cm, replacing that we get:

[tex]d = \sqrt{3*S^2} = \sqrt{3*(3)^2} cm = \sqrt{27} cm[/tex]

The correct option is the second one, counting from the top.

If you want to learn more about cubes:

https://brainly.com/question/1972490

#SPJ2

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is the only net that has 6 squares, and 6 squares make a cube.

Answer:

1. [tex]\frac{5}{162}[/tex]

2. [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

For the first problem, the probability of spinning an odd number is [tex]\frac{5}{9}[/tex]. The probability of landing on heads is [tex]\frac{1}{2}[/tex], and then the probability of landing on a 3 is [tex]\frac{1}{9}[/tex]. Multiplying all of these together, you get [tex]\frac{5}{162}[/tex]. For the second problem, the probability of spinning a number greater than one is [tex]\frac{3}{4}[/tex], and the probability of landing on tails is [tex]\frac{1}{2}[/tex]. Multiplying these together, you get [tex]\frac{3}{8}[/tex]. Hope this helps!

Answer:

a(n) = -2 + 8(n - 1)

Step-by-step explanation:

General formula is a(n) = a(1) + d(n - 1), where d is the common difference.

Here a(n) = -2 + 8(n - 1)

Answer:

a(n)=8n-10

Step-by-step explanation:

thats the answer if you are on Acellus :)

It is the number 3.              

Answer:

4.444...

Step-by-step explanation:

To do this question you find out 8/9 of 5

8/9 x 5

The method is: you divide by the denominator (bottom number of a fraction) and multiply by the numerator ( top number of a fraction)

= 5 ÷ 9 = 0.555…

= 0.555 x 8 = 4.444 recurring.

Answer:

[tex]4\frac{1}{9}[/tex]

Step-by-step explanation:

[tex]\frac{45-8}{9}[/tex] = [tex]\frac{37}{9}=4\frac{1}{9}[/tex]

Answer:

1. 425,300

2. 105,000

3. 45,500

4. 35,500

5. 212.37

Answer:

-0.8  or 991/10

(also it can be 10%)

Step-by-step explanation:

991            

 ——— = 99.10000  

 10              

Step by step solution :

Step  1  :

            9

Simplify   ——

           10

Equation at the end of step  1  :

         9

 100 -  ——

        10

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

           100     100 • 10

    100 =  ———  =  ————————

            1         10    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

100 • 10 - (9)     991

——————————————  =  ———

      10           10  

Final result :

 991            

 ——— = 99.10000  

 10              

The value of expression 1/10.

Given that we need to solve expression 100% - 9/10,

To explain the calculation of "100% - 9/10," let's break it down step by step:

First, let's simplify the fraction 9/10. This fraction represents a ratio where the numerator (9) is the number of parts, and the denominator (10) is the total number of parts.

In this case, it means that we have 9 parts out of a total of 10 parts.

Next, we need to calculate the percentage equivalent of 9/10. To do this, we can multiply the fraction by 100.

So, 9/10 × 100 = 90%.

This means that 9/10 is equivalent to 90%.

Finally, we subtract 90% from 100%. Since 100% represents the whole or the entirety, subtracting 90% from it gives us the remaining percentage.

Mathematically, 100% - 90% = 10%

10% = 1/10

Therefore, 100% - 9/10 equals 10%.

Learn more about percentage click;

https://brainly.com/question/32197511

#SPJ6

Two lines are:

So, we have:

The relationships between the lines and planes depend on their orientation in space. Without diagrams, it's only possible to give general descriptions, suggesting various intersecting, parallel, or skew scenarios.

Without diagrams or additional context, it's difficult to determine the relationships between the segments and planes, but I will provide general descriptions. Lines AB and BC appear to intersect if 'B' is the shared point between them. Lines AE and BF could be parallel, intersecting, or skew, depending on their orientation in space. Lines EF and AD again depend on their spatial orientation. Plane ABC and Plane ABF may intersect along line AB, if they are not the same plane. Plane AED and Plane BFC could also intersect, be parallel, or neither, depending on how the points are positioned in space.

https://brainly.com/question/17483944?referrer=searchResults

#SPJ3