Jessica and her 5 friends went out for Brunch.
They split the check evenly and each paid $12.75.
How much was the total bill?

Answer: 46.2m

Side A = 7m

Side B = 19m

Side C = 20.2m

Side A + Side B + Side C = ABC

7 + 19 + 20.2 = 46.2m

Answer: y=mx+b

Step-by-step explanation:

x â 3 is not a polynomial .

What is polynomial ?

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Have given x = -3,

A function is a mapping from one co-ordinate value to another co-ordinate value, such that each value in the domain (usually x) maps to one distinct value in the range (usually y). With  x=−3 , we only see one variable,  x . On an x-y plane, this would imply that the y-value is unrestricted and unrelated to the x-value, which is fixed at -3. So for a given value of x, there are multiple values of y, an infinite number in fact. So  x=−3  is not a function.

x 3 does not make sense in a mathematical context. Is there something missing

So, x â 3 is not a polynomial .

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Answer:

To find the area of the reduced triangle, we need to know the length of the base and the height of the triangle after the scaling.

Since the triangle has been reduced by a scale of 0.4, the length of each side has been multiplied by 0.4. Therefore, the base of the reduced triangle is:

10 cm × 0.4 = 4 cm

To find the height of the reduced triangle, we can use the fact that the ratio of corresponding sides in similar triangles is the same. Since the triangle has been scaled down by a factor of 0.4, the ratio of the corresponding sides is 0.4. Therefore, the height of the reduced triangle is:

30 cm × 0.4 = 12 cm

Now that we know the base and the height of the reduced triangle, we can calculate its area using the formula:

Area = (1/2) × base × height

Area = (1/2) × 4 cm × 12 cm

Area = 24 cm²

Therefore, the area of the reduced triangle is 24 cm².

Step-by-step explanation:

Abdul had 9 green beads and 12 yellow beads in his bag originally and after giving one green bead to his sister he had 4 yellow beads remaining.

Let's say the total number of beads in Abdul's bag is "x" and the number of green beads is "g".

We know that 3/7 of the beads are green, so:

g = 3/7 × x

Abdul gives a green bead to his sister 2/5 of the remaining beads are green.

This means that 3/5 of the remaining beads are yellow.

So, we can write:

(g - 1) / (3/5) = y / 2/5

Where "y" is the number of remaining yellow beads.

We can simplify this equation by cross-multiplying:

5(g - 1) = 6y

Expanding and simplifying:

5g - 5 = 6y

5g = 6y + 5

Now we can substitute the first equation (g = 3/7 × x) into this equation:

5(3/7 × x) = 6y + 5

Multiplying both sides by 7 to eliminate the fraction:

15x = 42y + 35

We can rearrange this equation to solve for "y":

y = (15x - 35) / 42

To find values of "x" and "y" that are both integers and satisfy the conditions of the problem.

We know that both "x" and "y" have to be greater than or equal to 1 since Abdul must have at least one bead of each color in his bag.

One possible solution is:

x = 21 (so there are 21 beads in the bag)

g = 9 (since 3/7 of 21 is 9)

y = 4 (since (15×21 - 35) / 42 = 4)

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To determine which statement is true, we need to perform a hypothesis test to compare the mean scores of the treatment group (Wheaties) and the control group (Sugar Pops). Let's go through the steps of the hypothesis test:

Step 1: State the hypotheses:

H0: μwheaties - μsugar pop = 0 (There is no significant difference between the mean scores of Wheaties and Sugar Pops)

HA: μwheaties - μsuga pop not= 0 (There is a significant difference between the mean scores of Wheaties and Sugar Pops)

Step 2: Select a significance level:

The given options mention α = 0.01 and α = 0.05. Let's consider α = 0.05 for this analysis.

Step 3: Compute the test statistic:

Since the sample sizes are relatively large and we know the population standard deviations (SD), we can use the two-sample independent t-test. The test statistic is given by:

t = ( wheaties - X sugar pop) / sqrt((s_wheaties^2 / n_  wheaties ) + (s_sugarpop^2 / n_sugar pop))

Where:

X wheaties = mean score of the treatment group (Wheaties)

X sugarpop = mean score of the control group (Sugar Pops)

s_ wheaties = standard deviation of the treatment group

s_sugarpop = standard deviation of the control group

n_wheaties = sample size of the treatment group

n_sugarpop = sample size of the control group

Substituting the given values:

Xwheaties = 66, Xsugarpop = 62

s_wheaties = 21, s_sugarpop = 20

n_wheaties = 250, n_sugarpop = 249

t = (66 - 62) / sqrt((21^2 / 250) + (20^2 / 249))

t ≈ 4.056

Step 4: Determine the critical value:

Since we have a two-tailed test and α = 0.05, we need to divide the significance level by 2 to find the critical value. Consulting a t-table or using statistical software, the critical t-value for a two-tailed test with α/2 = 0.025 and degrees of freedom (df) = n_wheaties + n_sugarpop - 2 = 498 is approximately 1.965.

Step 5: Make a decision:

If the absolute value of the test statistic (4.056) is greater than the critical value (1.965), we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

In this case, the absolute value of the test statistic is greater than the critical value (4.056 > 1.965). Therefore, we reject the null hypothesis.

None of the provided options is correct. The correct statement would be:

e. At level α=0.05, we reject the null hypothesis. It implies that Wheaties and Sugar Pops do not have the same power as breakfast, at a 0.05 significance level.

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The length of arc BC is 8/3 feet.

To find the length of arc BC, we first need to find the measure of angle BOC, where O is the center of the circle. Since angle BAC is 1/3 of one radian, and the central angle BOC intercepts the same arc BC, we know that angle BOC is three times angle BAC, or one radian.

Since the radius of the circle is 8 feet, the circumference is 2πr, or 16π feet. Since angle BOC is one radian, it subtends an arc on the circumference that is 1/2 of the total circumference, or 8π feet.

Therefore, the length of arc BC is 1/3 of arc BOC, or 8π/3 feet.

To find the length of arc BC, we will follow these steps:

1. Identify the given information: The radius of the circle is 8 feet, and the angle BAC is 1/3 of a radian.

2. Determine the central angle in radians: Since angle BAC is 1/3 of a radian, the central angle (θ) of the circle that corresponds to arc BC is also 1/3 of a radian.

3. Calculate the length of arc BC using the formula: Arc length (L) = radius (r) × central angle (θ).

In this case, r = 8 feet and θ = 1/3 radian.

L = 8 × (1/3)
L = 8/3

4. Simplify the expression: L = 8/3 feet.

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Answer:

for #1: the new price is $37.80 and the amount discounted was $7.20

Step-by-step explanation:

convert 16% to a decimal and multiply to find how much discounted then subtract that from the initial value

0.16*45= 7.20

45-7.20= 37.80

did u need the others too?

Answer:

$7.20

$0.636

$27.50

$53.3333333333

Step-by-step explanation:

16% × $45 = $7.20

8% × $7.95 = $0.636

$5.50 = 20%

20% × 5 = 100%

$5.50 × 5 = $27.50

$16 = 30%

30% × 3 and 1/3 = 100%

The answer is (C) 28.26 ft²

To solve the problem, we need to find the radius of the circle, which is half of the length of the segment through the center. Since the length of the segment is 6 feet, the radius is 6/2 = 3 feet.

The area of a circle is given by the formula A = πr², where r is the radius. Substituting the value of the radius, we get:

A = π(3)² = 9π ≈ 28.26 square feet

Rounding to two decimal places, the approximate area of the circle is 28.26 ft^2.

Therefore, the answer is (C) 28.26 ft²

The area of a circle is the amount of space inside the boundary of a circle. It is defined as the product of the square of the radius (r) and the constant pi (π), which is approximately 3.14. The formula for the area of a circle is:

Area = πr^2

Where r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle's circumference.

The formula shows that the area of a circle is proportional to the square of its radius. This means that if the radius is doubled, the area of the circle will be quadrupled, and if the radius is halved, the area will be reduced to one-fourth.

The area of a circle is often used in geometry and other areas of mathematics, as well as in real-life applications such as calculating the area of a circular garden, a circular swimming pool, or the surface area of a cylinder or sphere.

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Answer:

3.14

Step-by-step explanation:

Radius = 1

1^2 times pi = 1 pi

1 pi is about = 3.14

Answer:

Step-by-step explanation:

700.5

C is the most accurate one i guess

The smallest value within the class is the lower class limit, and the largest value within the class is the upper class limit.

A class limit is a set of boundary values in the form of a range that describes the lowest and highest data values that a class can contain. The lower class limit refers to the smallest data value in a class, whereas the upper class limit refers to the largest data value in a class. The width of a class is determined by the difference between the upper and lower class limits. Here are a few examples to give you a better understanding of how this works:

Class:              5-9 5 9

Lower Limit:    10-14 10 14

Upper Limit:    15-19 15 19

This shows class limits for three different classes.

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Answer:

Concept: Linear Systems

Answer:

The midpoint is (-1, 1.5)

Step-by-step explanation:

To find the x coordinate of the midpoint, average the x coordinates of the endpoints

(2+-4)/2 = -2/2 = -1

To find the y coordinate of the midpoint, average the y coordinates of the endpoints

(-3+6)/2 = 3/2 = 1.5

The midpoint is (-1, 1.5)

Hi there! :)

Answer:

\(\huge\boxed{D, x -4}\)

---- Starting with: ----

x² - 10x + 24

Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.

By guessing and checking, we get the numbers -6 and -4. Put these into factors:

(x - 6)(x - 4)

Therefore, a binomial present in factored form is D. x - 4

Answer:

(-2,-1)

Step-by-step explanation:

see photo

Answer: $2400.00 without 8% tax $2592.00 with 8% tax

Step-by-step explanation:

2x12x100

(X1.08 for tax)

Answer:

Step-by-step explanation:

This number is much larger than 1. You need to start at the decimal and move left (that's how scientific notation works for numbers larger than 1.)

So the answer is 1.0054 * 10 ^7

The person doing this started at the 1 and moved right until he/she hit the decimal. Wrong direction.

Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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The equivalent equations to  72x+12y=60 are:

The given equation is:

72x+12y=60

To find the equivalent equations, follow the steps below

Multiply the equation 72x+12y=60 by 10

10(72x) + 10(12y) = 10(60)

720x  +  120y   =  600

Divide the equation 72x+12y=60 by 12

(72x/12)  +  (12y/12) = 60/12

6x  +  y   =  5

y  =  5  -  6x

Divide the equation 72x+12y=60 by 72

(72x/72)  +  (12y/72) = 60/72

x  +  y/6  =  5/6

x  =  5/6  -  y/6

The equivalent equations to  72x+12y=60 are:

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a. There are 2 cycles in the graph.
b. The period of the graph is 360 degrees.
c. The amplitude of the graph is 2.


a. To determine the number of cycles in the graph, we need to count the number of complete repetitions of the pattern. In this case, there are 2 complete repetitions, so there are 2 cycles.

b. The period of a sine graph is the distance it takes to complete one full cycle. In this graph, one full cycle is completed in 360 degrees, so the period is 360 degrees.

c. The amplitude of a sine graph is the distance from the midline to the maximum or minimum point of the graph. In this case, the amplitude is 2 units. y = 2 sin θ.

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Probability that the arrow will stop on the same letter twice = 1/3 (c).

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.

Main body:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = no. of favourable outcome/ total outcomes

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow stay on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  2/6

Probability =  1/3

Therefore,  probability that the arrow will stop on the same letter twice =  (c).

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Answer: Im not giving answer to that but i will do this one

A water tank holds 256 gallons but is leaking at the rate of 3 gallons per week. A second water tank holds 384 gallons and is leaking at a rate of 5 gallons per week.After how many weeks will the amount of water in the two tanks be the same.

Step-by-step explanation:

you have: one is leaking 3 gallons per week and holds 256 gallons; whereas, the other one is leaking 5 gallons per week and holds 384 gallons.

Set up both the equations....

In y=mx+b form--->>>

y=-3x+256

y=-5x+384

To figure out when they will be equal..set the equations equal to each other....(remember to isolate the variable)

-3x+256=-5x+384

-3x+256=-5x+384

     -256        -256

-3x=-5x+128

-3x=-5x+128

+5x+5x

2x=128

x=64

After 64 weeks the amount of water in both tanks will be the same.

Thus, your answer.

Answer:

Sweets are sold loose, or pre-packed in 120g bags.

The 120 g bags are £1.49 each.

The loose sweets are £0.89 for 100g.

By calculating the price per gram, determine which is better value. Show your working.

Answer:

13:9

Step by Step Explanation:

That is the answer

Answer:

Minimum Price: $230,700

Maximum Price: $261,900

Explanation:

To find the minimum and maximum prices, we need to find the z-score of the middle 70%

70% = 0.7

1 - 0.7 = 0.3

0.3/2 = 0.15

Then the inverse normal of 0.15 is -1.04

Therefore,

and

Answer:

84%

Step-by-step explanation:

divided and move to the nearest 2 numbers