A birthday party caterer counted the number of juice cups on the table. The cups contained different flavored juices and different shaped straws.
Heart-shaped straw Star-shaped straw
Orange juice 9 3
Grape juice 4 4
Pineapple juice 5 8
What is the probability that a randomly selected cup contains orange juice or contains a heart-shaped straw?
Simplify any fractions.

Answer:

6x+9y+10

Step-by-step explanation:

just combine like terms

Answer:

first

Step-by-step explanation:

6x+2+15y+8-6y

2+8=10

6x+10+15y-6y

15-6=9

6x+10+y

Answer:

566.525

Step-by-step explanation:

26.35 × 21.5

Scale of the model is found to be 1 : 30 using the ratio method.

A model of a car is 4 inches long.

The actual car is 10 feet long.

 4 in. = 10 ft. ( since given )

Divide both sides by 4, we get

∴ 1 in. = 2.5 ft.

We use the ratio here to compare the lengths of the actual car and its model.

A ratio scale is a quantitative measurement scale that is used to compare numbers.

The model is 4 inches long while the actual car is 10 feet long.

One foot is equal to 12 inches. Therefore the car in terms of inches is:

10 feet × 12 inches = 120 inches

The ratio scale is the length of the model of the car : length of the actual car

= 4 : 120

= 1 : 30

Therefore the scale of the model is 1: 30.

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Answer:

-27

Step-by-step explanation:

3a - 4b
-3 - 4b
-3 - 24
-27

Answer:

b= -1/2 or b= -3

Step-by-step explanation:

4b²+14b+6=0

4b²+12b+2b+6=0       {4×6=24, 12×2=24 and 12+2=14}

4b(b+3)+2(b+3)=0

(4b+2)(b+3)=0

4b+2=0 or b+3=0

b= -1/2 or b= -3

R = (ax - p)/(q + bx)

(ax - p) = R(q + bx)

ax - p = Rq + Rbx

ax - Rbx = Rq + p

x(a - Rb) = Rq + p

x = (Rq + p)/(a - Rb)

During the Persian Wars, the Greek army was weakened and then defeated by the Persians. This led to a decrease in the influence of Greece in Asia Minor.

During this time, Macedonia was one of the strongest states in Greece, and it had control over most of mainland Greece. The empire that emerged from this period is called Macedonian Empire. This empire lasted for another 300 years until its conquest by Rome around 148 BC.

The rise of Macedonia as a major power during this period also gave way to many internal conflicts between different tribes within the kingdom which led to increased military spending on them (cavalry). However, when Roman legions were sent into Asia Minor they easily crushed these armies and destroyed much of their infrastructure including fortifications and roads (roads were built under Alexander's reign but they fell apart quickly). This made it very difficult for any future armies or empires to hold onto territory once conquered.

So I think your question has been answered! Thanks!

Answer: The answer is B:The Greek army defeated the Persians.

Step-by-step explanation: I have my ways ;>

Answer:The answer is given by :

[ The amount of material ]  / [The  number of pillows made ]  =   16 / 12  = 4 /3 = ( 1 + 1/3 ) yds per pillow

So the answer lies between the integers 1 and 2

Step-by-step explanation:

Answer:

8% multiped by what ever the decimal is

Step-by-step explanation:

5% + 3% = 8%

Answer:

Number of dollar = 28.28 (Approx)

Step-by-step explanation:

Given:

176 dollar = 140 pound

1 pound = Rs.130

Find:

Number of dollars in Rs 2925

Computation:

1 pound = Rs.130

Number of pound = 2925 / 130

Number of pound = 22.5 pound

1 pound = 176 / 140

Number of dollar = [176 / 140]22.5

Number of dollar = 28.28 (Approx)

Based on the data recorded by Anna on Saturday, we can estimate the number of people expected to visit The Youth Wing on Sunday.

Let's calculate the proportion of visitors to The Youth Wing compared to the total number of visitors on Saturday:

\(\displaystyle \text{Proportion} = \frac{\text{Visitors to The Youth Wing on Saturday}}{\text{Total visitors on Saturday}} = \frac{382}{382 + 461 + 355}\)

Next, we'll apply this proportion to the total number of visitors on Sunday to estimate the number of people expected to go to The Youth Wing:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times \text{Total visitors on Sunday}\)

Now, let's substitute the values into the equation and calculate the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355}\)

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \text{Proportion} \times 800\)

Calculating the proportion:

\(\displaystyle \text{Proportion} = \frac{382}{382 + 461 + 355} = \frac{382}{1198}\)

Calculating the estimated number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} = \frac{382}{1198} \times 800\)

Simplifying the equation:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx \frac{382 \times 800}{1198}\)

Now, let's calculate the approximate number of visitors to The Youth Wing on Sunday:

\(\displaystyle \text{Expected visitors to The Youth Wing on Sunday} \approx 254\)

Therefore, based on the data recorded on Saturday, we can estimate that around 254 people should be expected to go to The Youth Wing on Sunday.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

A median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side.

The term that describes a line segment connecting a vertex of a triangle to the midpoint of the opposite side is the "median." In triangle geometry, a median is a line segment that joins a vertex of a triangle to the midpoint of the opposite side.

To understand the concept of a median, let's consider a triangle ABC. The midpoint of side BC is denoted as M, and vertex A is connected to M by a line segment. This line segment AM is referred to as the median from vertex A.

Medians have some interesting properties and play a significant role in triangle geometry. Here are a few key characteristics of medians:

1. Medians Divide the Triangle into Two Equal Areas:

Each median of a triangle divides the triangle into two regions with equal areas. The point where all three medians intersect is called the centroid, which is also the center of mass of the triangle.

2. Medians are Concurrent:

The three medians of a triangle are always concurrent, meaning they intersect at a single point called the centroid. This centroid divides each median in a 2:1 ratio, with the longer segment adjacent to the vertex.

3. Medians Divide the Triangle into Six Congruent Triangles:

The medians of a triangle divide the triangle into six smaller congruent triangles. Each of these triangles shares a common vertex with the original triangle.

4. Medians Determine the Centroid:

The centroid of a triangle is the point of intersection of the three medians. It is the balance point of the triangle, where the triangle would perfectly balance on a needle.

In summary, a median is a line segment connecting a vertex of a triangle to the midpoint of the opposite side. Medians have unique properties, including dividing the triangle into equal areas, being concurrent at the centroid, dividing the triangle into congruent triangles, and determining the balance point of the triangle.

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The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).

An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.

Therefore, let's rewrite the expression to it's equivalent expression.

An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.

Therefore, using indices rule

\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)

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Answer:

200 bars

Step-by-step explanation:

$300 - $50 = the amount of money you still need, $250

250 dollars/$1.25 per bar = 200 bars you need to sell to get 300 dollars

The pattern for the sequence 1.3, 8.3, 27.3, 64.3,… is f(n) = (n)³.3

The pattern in the question is given as

1.3, 8.3, 27.3, 64.3,…

In the above expressions and pattern, we can see that

From the above, we have the following

Current term = (n)³.3

Note that the decimal does not represent product

And also the pattern is a geometric sequence

Hence, the pattern for the sequence is f(n) = (n)³.3

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The answer of the question based on the rate of interest is a)  $23,900, b) $1,146.37 c) $1,289.78.

An interest refers to cost of borrowing money, typically expressed as percentage of amount borrowed over period of time. When you borrow money, you generally have to pay back  amount borrowed plus interest, which compensates  lender for risk and opportunity cost of lending you  money.

a) The down payment is 10% of the home price, which is:

10% of $239,000 = 0.10 x $239,000 = $23,900

To find the loan amount, we subtract the down payment from the home price:

Loan amount = $239,000 - $23,900 = $215,100

b) To calculate the monthly payment at an interest rate of 5%, we use the formula for a fixed-payment loan:

M = P * r * (1 + r)^n / ((1 + r)^n - 1)

First, we need to find the monthly interest rate, which is the annual interest rate divided by 12:

Monthly interest rate = 5% / 12 = 0.00416667

Total number of payments = 30 years x 12 months/year = 360

Now we can plug in these values to find the monthly payment:

M = $215,100 * 0.00416667 * (1 + 0.00416667)^360 / ((1 + 0.00416667)^360 - 1) = $1,146.37

Therefore, the monthly payment at an interest rate of 5% is $1,146.37.

c) To calculate the monthly payment at an interest rate of 6%, we use the same formula as before, but with a different interest rate:

Monthly interest rate = 6% / 12 = 0.005

Total number of payments = 30 years x 12 months/year = 360

M = $215,100 * 0.005 * (1 + 0.005)^360 / ((1 + 0.005)^360 - 1) = $1,289.78

Therefore, the monthly payment at an interest rate of 6% is $1,289.78.

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The federal income tax withheld for Doug, given the fact Doug is married and claims 1 allowance is $ 149.

Using the Married Persons Weekly Payroll table, you can find the bracket that Doug Smalley belongs in which is $1, 350 - $ 1, 360.

When looking at this bracket, we see that the federal income tax withheld for a person in this bracket, who claims 1 withholding allowance, is $ 149.

The federal income tax for Doug Smalley who earns $ 1, 352.75 a week in 2016, is therefore $ 149.

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The full question is:

Use the Married Persons Weekly Payroll table to find the federal income tax withheld. Doug smalley, a meteorologist, is married, earns $1,352.75 a week, and claims 1 allowance.

The value of x is 17

To determine the value, we need to know that;

Then, from the information given, we have that;

2x and 3x + 5 are complementary

Then, we have that;

2x + 3x + 5 = 90

collect the like terms, we have;

5x = 85

Divide by the coefficient of x, we get;

x = 17

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Answer:

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

Given function:

Graph it first (see attached).

Test the graph for symmetry.

We know the odd degree parent function y = x³ has an origin symmetry, whilst even degree functions may have axis symmetry.

The given function is a translation of cubic function 5 units up so the center of symmetry has translated as well. Therefore correct answer is 4.

Answer:

4. no origin symmetry

Step-by-step explanation:

Functions are symmetric with respect to the x-axis if for every point (a, b) on the graph, there is also a point (a, −b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the y's with (−y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the x-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y &= x^3 + 5\\&\textsf{Replace $y$ for $(-y)$}: \quad &-y &= x^3 + 5\\&\textsf{Simplify}: \quad &y &= -x^3 - 5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the x-axis.

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

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

To determine if a graph is symmetric with respect to the x-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$}: \quad &y&=(-x)^3+5\\&\textsf{Simplify}: \quad &y&=-x^3+5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the y-axis.

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

Functions are symmetric with respect to the origin if for every point (a, b) on the graph, there is also a point (-a, -b) on the graph:

To determine if a graph is symmetric with respect to the origin, replace all the x's with (−x) and all the y's with (-y).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the origin.

\(\begin{aligned}&\textsf{Given}: \quad &y&=x^3+5\\&\textsf{Replace $x$ for $(-x)$ and $y$ for $(-y)$}: \quad &(-y)&=(-x)^3+5\\&\textsf{Simplify}: \quad &-y&=-x^3+5\\&&y&=x^3-5\end{aligned}\)

Therefore, since the resultant expression is not equivalent to the original expression, it is not symmetric with respect to the origin.

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

3800

Step-by-step explanation:

Half way between 3700 and 3900

Answer:

3800

Step-by-step explanation:

it's plotted on the line between 3700 and 3900 and 3800 would be in the middle

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

He needs to score 28 points.

Step-by-step explanation:

\(1^{st}\,\,score: 30\,\,points;\\\\2^{nd}\,\,score: 18\,\,points;\\\\3^{rd}\,\,score: 28\,\,points;\\\\4^{th}\,\,score: \,\,?\)

Let's calculate Dante's 4th score, given that the average is 26 points:

\(\frac{S1 + S2 + S3 + S4}{4} = 26\\\\\frac{30 + 18 + 28 + S4}{4} = 26\\\\76 + S4 = 104\\\\S4 = 28\,\,points.\)

Answer: can you please list the choices that are in the drop down box

Step-by-step explanation:

Answer:

The shortcut would be 53 yards

Step-by-step explanation:

Because trigonometry

Answer:

\(y-4=2\,(x+1)\)

which agrees with answer C in your list of possible answers.

Step-by-step explanation:

We can use the general point-slope form of a line of slope m and going through the point \((x_0, y_0)\):

\(y-y_0=m(x-x_0)\)

which in our case, given the info on the slope (2) and the point (-1, 4) becomes:

\(y-y_0=m\,(x-x_0)\\y-4=2\,(x-(-1))\\y-4=2\,(x+1)\)

The number of student tickets sold is 78.

Given,

The number of student tickets sold = x

The number of adult tickets sold = 4x - 6

Total value of tickets sold = $3990

Value of one student ticket = $8

Value of one adult ticket = $11

Now, we have to find the number of student tickets sold:

Here,

The expression :8x + 11(4x - 6) = 3990

Solve the expression:

8x + 44x - 66 = 3990

52x - 66 = 3990

Add 66 to both sides

52x - 66 + 66 = 3990 + 66

We get,

52x = 4056

Divide 52 on both sides

52x / 52 = 4056/52

That is,

x = 78

Therefore,

The number of student tickets sold is 78.

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The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.

Given is the function as -

f(x) = 3x - 10.

We have the function -

y = 3x - 10

We can write the function f(x) after translation by 4 units left as -

y = 3(x + 4) - 10

y = 3x + 12 - 10

y = 3x + 2

Therefore, the function g(x) can be written as y = 3x + 2

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