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how to do question no 9 b?

If Caleb dinner was for $21 then the total bill including tip will be $27.51   .

Caleb went out for the dinner ;

the amount for the dinner = $21 ;

the percent of tip that Caleb want to leave = 31% ;

that means ; tip amount = 31% of dinner amount ;

So , tip amount = 31% of $21 = 0.31 × 21 = $6.51 ;

the tip amount = $6.51 ;

the total bill = bill for dinner + tip amount = $21 + $6.51 ;

= $27.51 .

Therefore , the total bill amount is 27 dollars and 51 cents   .

The given question is incomplete , the complete question is

Caleb was out at a restaurant for dinner when the bill came. His dinner came to $21. He wanted to leave a 31% tip. How much was his meal plus the tip, before tax, in dollar and cent ?

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Answer:

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

Step-by-step explanation:

So,

For class A

For class B

(A) Here, as we can see class A has more girls than class B.

(B) Class A has a greater percentage of girls.

The price of the adult ticket is calculated to be $19 and the price of a child ticket is calculated to be $18.

The price of the​ adult ticket and the price of a​ child ticket can be calculated by using algebraic expressions as follows;

Considering adult ticket price = y and child ticket price = x;

The algebraic equations for tickets can be given as follows;

3y + 4x = $129

2y + 3x = $92

Now we can calculate y as follows;

3y + 4x = 129

3y = 129 - 4x

y = 129 - 4x / 3

Adding this value of y in the second equation as follows;

2y + 3x = 92

2(129 - 4x / 3) + 3x = 92

258 - 8x / 3 + 3x = 92

258 - 8x / 3 = 92 - 3x

258 - 8x = 3(92 - 3x)

258 - 8x = 276 - 9x

9x - 8x = 276 - 258

x = $18

Hence the price of a child ticket is $18 and the price of an adult ticket can be determined as follows;

2y + 3x = 92

2y + 3(18) = 92

2y + 54 = 92

2y = 38

y = 38 / 2

y = $19

Therefore the price of an adult ticket is $19.

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The length of the actual wall in feet is 4.69 feet.

The term scale is used in mathematics to represent the relationship between a measurement on a model and the corresponding measurement on the actual object. A scale is a set of levels or numbers that are used in a specific system of measuring or comparing things.

In this case, the blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches, the length of the actual wall in feet will be:

= 3 × 25

= 75 inches

Since 1 feet = 16 inches

75 inches will be:

= 75/16

= 4.69 feet.

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Answer:

The ratio is 7 : 13

Step-by-step explanation:

There are 39 books and 21 binders

Write the ratio of binders to books.

binders: books

21 : 39

Divide each side by 3

21/3 : 39:3

7 : 13

The ratio is 7 : 13

Answer:

Ratio is [tex]\frac{7}{13}[/tex] or 7 : 13

Step-by-step explanation:

the formula would be 21 ÷ 39

next would be to cross out the common factor which is [tex]\frac{7}{13}[/tex]

so the final answer is [tex]\frac{7}{13}[/tex]

Answer: 371.28

I hope that this helps! :)

Answer: 371.28

Step-by-step explanation: hope it helps mark brainlist if helpful

Answer:

X=34 Y=146

Step-by-step explanation:

3x+19is equal to 4x+14 through this we can look for the value of x which is 34

angles in a straight line add up to 180 and all ready have 34 so we will take 180-34 = 146

The given congruency proof to show that AE ≅ A F is; SSS Congruency Postulate

From the given items, we see that the congruency proofs are;

Statement 1; ΔEBC ≅ ΔFDC

Reason 1; Given

Statement 2; ∠EAC ≅ ∠ECA

Reason 2; Given

Statement 3; ∠FAC ≅ ∠FCA

Reason 3; Given

Statement 4; AE ≅ A F

Reason 4; SSS congruency postulate

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The inequality that would represent the possible values for the number of drinks purchased, d, and the number of pretzels purchased p will be p + d ≤ 7.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal.

From the information, Keilantra and her children went into a movie theater and will buy drinks and pretzels and she must buy no more than 7 drinks and pretzels altogether

In this case, the inequality will be p + d ≤ 7. It implies that they should not be more than 7.

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Answer:

33/20

Step-by-step explanation:

The direct variation is the slope, or how much the y-value of the line changes when the x-value of a line increases by 1.

Plug into the formula:

[tex]\frac{y_2-y_1 }{x_2-x_1}[/tex]

[tex]\frac{-28-5}{14--6}[/tex]

[tex]\frac{33}{20}[/tex]

Answer:

$860.10

Step-by-step explanation:

In Gallup political polls, respondents are asked which political party they identify with: independent, democratic, or republican. Nominal level of measurement is used to measure party

Nominal level of measurement is used when assigning a name, label, or category to a particular attribute of an individual, group, or phenomenon. In the case of party affiliation, the Gallup Political Polls ask people to identify themselves as Democrat, Republican, or Independent. These labels are mutually exclusive, and do not imply any particular order. Therefore, the level of measurement used to measure party is nominal.

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Answer:

She has $984.00 left after taxes.

She pays $216.00 in taxes

Step-by-step explanation:

1200 x .18 = 216

She pays $216.00 in taxes

1200 - 216 = 984

She has $984.00 left after taxes.

The greatest common factor of polynomial  64xyz−36xy + 24x  is 4x

The greatest common factor of a polynomial is a monomial that divides all terms of the polynomial.

The given polynomial is:

64xyz−36xy + 24x

Notice that there are 3 terms:

64xyz

−36xy

24x

To find the greatest common factor, notice that each terms contain x.

Next, find the gcf of 64, 36, 24.

Using prime factorization:

64 = 2⁶

36 = 2² × 3²

24 = 2³ × 3

Hence the gcf (64, 36, 24) = 2² = 4

Therefore the gcf of  64xyz−36xy + 24x  is 4x

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Answer:30

Step-by-step explanation:

In a triangle, the midsegment is half of base (AC)

so, AC would be double of DE, meaning 15×2=30

Answer: -$100

Step-by-step explanation:

We know that Andrea loaned $5 to each of the 20 people.

So 5 times 20 = -$100

To answer this question, we need to first multiply the left side of the given equation and write it as the difference of two squares. This can be done by using the difference of squares formula, which states that the difference of two squares can be written as the product of the square of the sum and the square of the difference.

The left side of the given equation can be written as:

(csc0+1)(csc0-1)

We can then apply the difference of squares formula to this expression to get:

(csc0+1)(csc0-1) = (csc0+1)(csc0-1)

Now, we can see that this expression is equivalent to cot 0 using the Pythagorean Identity. This identity states that the sum of the squares of the cosecant and cotangent of an angle is equal to 1. In this case, since (csc0+1)(csc0-1) = cot 0, we can use the Pythagorean Identity to rewrite the left side of the equation as (csc0^2 + cot0^2) = 1, which is equivalent to cot 0.

Therefore, the correct answer is C. Pythagorean Identity

Latisha needs to pay first month's rent ($675), last month's rent ($675), and the security deposit ($325), which totals $1,325.

Latisha needs to pay a total of $1,325 to move into her new apartment. This includes the first month's rent of $675, the last month's rent of $675, and the security deposit of $325. This total amount must be paid before Latisha can move in and enjoy her new place. In addition to the up-front costs for move-in, Latisha will also need to be prepared to pay her rent each month and maintain her security deposit in case there are any damages to the apartment. Paying the move-in costs is the first step to ensure that Latisha can enjoy her new home.

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Answer:

  176.7 square inches

Step-by-step explanation:

You want the area of a 15 inch diameter pizza.

The formula for the area of a circle in terms of its diameter is ...

  A = (π/4)d²

The area of the pizza is ...

  A = (π/4)(15 in)² = 225π/4 in² ≈ 176.7 . . . square inches

The area is about 176.7 square inches.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

Here,  we can solve the inequality x + 2 > 3x - 8 as follows :

We get 2 on both sides of an inequality by the process of subtraction

or, x + 2 - 2 > 3x - 8 -2

or,  x > 3x -10

We get  10 on both sides of an inequality by the process of addition

or, x +10 > 3x -10 + 10

or, x + 10 > 3x

We get x on both sides of an inequality by the process of subtraction

or, x + 10 -x > 3x -x

or, 10 > 2x

We get 2 into both sides of an inequality by the process of division

or, 5 > x

Therefore, x < 5.

To solve the given inequality, the solution is: x < 5. So, the correct answer is option C.

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variability.

In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.

There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values ​​in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.

In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.

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The standard deviation of the x distribution for a random sample of 90 pairs will be 0.168 .

As stated in the assertion

The sample n has been provided, and we need to determine the sample's standard deviation.

For this reason, we know that the standard deviation of the sample is equal to the population's standard deviation divided by the square root of the sample's length.

The value of alpha is given as,

alpha = 1.6.

Assume that for a specific type of aluminum alloy sheet, X is the sample mean Young's modulus for a random sample of 90 sheets, and

s = alpha/ 90 s

= 1.6/9.48 s

= 0.168

Therefore, 0.168 is the x distribution's standard deviation.

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a) The symbol ≥ is used within the inequality because the lower bound 235 is an acceptable salary.

b) The solution to the inequality is given as follows:

h ≥ 24.

This means that Jake must work at least 24 hours each month, which is represented on the number line shown at the end of the answer.

The inequality in this problem is defined as follows:

7.50h + 55 ≥ 235.

It gives the number of hours that Jake must work to earn at least $253.

The inequality is solved similarly to an equality, isolating the variable of interest. The difference is that the result gives a range of values, instead of a simple value.

The solution is then obtained as follows:

7.50h + 55 ≥ 235

7.5h ≥ 180

h ≥ 180/7.5

h ≥ 24.

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The measure of m∠XBC=(3p-6)°=(3·47-6)°=135°.

Given data :

m∠XBC = m∠BAC + m∠BCA,

Now if : m∠XBC=(3p-6)°: m∠BAC=(p+4)°: m∠BCA=84°,

then we get the equation :

3p-6=p+4+84

(option 2), 3p-6=p+88

(option 3), 3p-p-6=p-p+88,2p-6=88

(option 4), 2p-6+6=88+6,2p=94

(option 5), p=47.

Then m∠XBC=(3p-6)°=(3·47-6)°=135°.

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Answer:

135
answer in picture

Step-by-step explanation:

The value of the function g(x) at g = 4 is 18.

Given is a function g(x) as follows -

g(x) = 3x² - 5(x + 2)

We have the following function as -

g(x) = 3x² - 5(x + 2)

For g(4), we can write -

g(4) = 3 x (4)² - 5(4 + 2)

g(4) = 3 x 16 - 5 x 6

g(4) = 48 - 30

g(4) = 18

Therefore, the value of the function g(x) at g = 4 is 18.

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Answer:

1/5

Step-by-step explanation:

of: *

is: =

1/7 * x = 1/35

Multiply by 7 on both sides.

7(1/7x) = 7(1/35)

x = 1/5

To calculate the future value of a $7,000 investment with a 2.05% interest rate and quarterly simple interest payments over 9 years, you can use the following formula:

Future value = Principal * (1 + (Interest rate / Number of compounding periods per year)) ^ (Number of years * Number of compounding periods per year)

Plugging in the values given in the question, we get:

Future value = $7,000 * (1 + (0.0205 / 4)) ^ (9 * 4)

This simplifies to:Future value = $7,000 * (1.005125) ^ 36

Using a calculator or spreadsheet to calculate this value, we get:

Future value = $8,414.35

Therefore, the correct answer is [B] $8,414.35.

The solution of the linear equation −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

−2.4(m − 2/3) = −9

Simplify the equation, then we have

−2.4(m − 2/3) = −9

m - 2/3 = 9/2.4

m - 2/3 = 15/4

m = 15/4 + 2/3

m = 53 / 12

m = 4 ⁵/₁₂

The arrangement of the straight condition −2.4(m − 2/3) = −9 will be 4 ⁵/₁₂.

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Answer:

Below

Step-by-step explanation:

4%  /12  = .33 % per period

  periods per year = 12

  money is compounded each month for 12 years = 144 times