Zinnia and Ruby earn $58 per week for delivering pizzas. Zinnia worked for x weeks and earned an additional total bonus of $13. Ruby worked for y weeks. Which expression shows the total money, in dollars, that Zinnia and Ruby earned for delivering pizzas? (5 points)
71x + 58y

58x − 13 + 58y

58x + 71y

58x + 13 + 58y

Answer:

16

Step-by-step explanation:

112 ÷ 7

= 16

Answer:

Step-by-step explanation:

– 3 – 90 Answer is B

There are 20,000 different phone numbers possible that is 7-digits long and start with either 824 or 825.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Based on the given information, all phone numbers are 7-digits long and starts with either 824 or 825. Hence, the four last digits will be the combination of numbers from 0 to 9.

Thus, by Fundamental Principle of Counting, the number of possible outcomes is 20,000.

= (number of phone numbers starting with 824) + (number of phone numbers starting with 825)

= (10 x 10 x 10 x 10) + (10 x 10 x 10 x 10)

= 20,000

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Hope you have a good day, Loves!~

Answer:

N=-6

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

       2*n-5-(9*n+37)=0  

Step by step solution :

STEP 1 :

Pulling out like terms

1.1     Pull out like factors :

  -7n - 42  =   -7 • (n + 6)  

Equation at the end of step  :

STEP  2 :

Equations which are never true:

2.1      Solve :    -7   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    n+6 = 0  

Subtract  6  from both sides of the equation :  

                     n = -6

Hope this helps!

Brain-List?

Answer:

Check your question well

Step-by-step explanation:

U didn't ask to draw angle p so how can we get the angle r

Answer:

i have no clue.

Step-by-step explanation:

good luck

a)The initial height of the flare when it is fired is 2m.

b)The height of the flare after 1 s is 38.75m

c)The flare reaches its maximum height after 2 seconds.

d) The maximum height of the flare is 65m.

e) The flare hits the water after 8 seconds.

The given equation which is h = -5.25t² + 42t + 2, can be used to solve the following questions:

a) To get the initial height of the flare when it is fired, the value of t = 0 must be used in the given equation:

h = -5.25(0)² + 42(0) + 2h

= 0 + 0 + 2h

= 2

Therefore, the initial height of the flare when it is fired is 2m.

b) To get the height of the flare after 1 s, the value of t = 1 must be used in the given equation:

h = -5.25(1)² + 42(1) + 2h

= -5.25 + 42 + 2h

= 38.75

Therefore, the height of the flare after 1 s is 38.75m

c)The maximum height of the flare is reached when the flare is at its peak.

Therefore, the time when the flare reaches its maximum height is found by dividing -b by 2a, where the equation is in the form of y = ax² + bx + c.

The equation h = -5.25t² + 42t + 2 is in the form of y = ax² + bx + c,

where a = -5.25, b = 42, and c = 2.t = -b/2a = -42/2(-5.25)

= -2

Therefore, the flare reaches its maximum height after 2 seconds.

d) To get the maximum height of the flare, the value of t = 2 must be used in the given equation:

h = -5.25(2)² + 42(2) + 2h

= -21 + 84 + 2h

= 65

Therefore, the maximum height of the flare is 65m.

e)When the flare hits the water, the height, h, is 0.

Therefore, the time when the flare hits the water is found by setting h = 0 in the given equation and solving for t:

0 = -5.25t² + 42t + 2

Using the quadratic formula:\($$t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$\)

where a = -5.25, b = 42, and c = 2.

= \(\frac{-42 \pm \sqrt{42^2 - 4(-5.25)(2)}}{2(-5.25)} $$t\)

= 8.003 or t = 1.331

Since time cannot be negative, the time when the flare hits the water is after 8 seconds. Therefore, the flare hits the water after 8 seconds.

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The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

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Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (4, - 1 ) and (x₂, y₂ ) = (- 2, 3 )

m = \(\frac{3-(-1)}{-2-4}\) = \(\frac{3+1}{-6}\) = \(\frac{4}{-6}\) = - \(\frac{2}{3}\) , then

y = - \(\frac{2}{3}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 2, 3 ) , then

3 = \(\frac{4}{3}\) + c ⇒ c = 3 - \(\frac{4}{3}\) = \(\frac{5}{3}\)

y = - \(\frac{2}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form

multiply through by 3 to clear the fractions

3y = - 2x + 5 ( subtract - 2x + 5 from both sides )

2x + 3y - 5 = 0 ← in general form

For the quadratic functions, we have that:

a) The curve intersects the y-axis at y = 4.

b) The value of b is of b = 25.

The y-intercept of a function is given by the value of f(x) when x = 0, that is, the value of y when the function crosses the y-axis.

For this problem, the function is given by:

y = (x - 3)² - 5.

When x = 0, the numeric value is given as follows:

y = (0 - 3)² - 5 = 9 - 5 = 4.

Hence this is the value of y when the function crosses the y-axis.

For item b, the roots are given as follows:

x = -4, x = -1.

Hence, applying the Factor Theorem, the equation is given by:

y = a(x + 1)(x + 4)

y = a(x² + 5x + 4).

We have that a = 5, hence the function is:

y = 5(x² + 5x + 4).

y = 5x² + 25x + 20.

Thus the value of b is of b = 25.

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Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

To find Mandy Company's actual direct labor rate per hour (AP), we need to use the given information and apply the formula for direct labor efficiency variance:

Direct Labor Efficiency Variance = (AQ - SQ) × AP

We are given the following information:

Standard direct labor hours allowed for units produced (SQ) = 3,800

Actual direct labor hours worked (AQ) = 3,650

Direct labor efficiency variance, favorable (F) = $6,300

We can rearrange the formula to solve for AP:

AP = Direct Labor Efficiency Variance / (AQ - SQ)

Substituting the values:

AP = $6,300 / (3,650 - 3,800)

AP = $6,300 / (-150)

AP ≈ -$42 per hour

However, a negative value of direct labor rate variance is called favorable direct labor rate variance, which is the result of the actual rate being less than the standard rate.

Therefore, Mandy's actual direct labor rate per hour (AP), rounded to two decimal places, is approximately $42.00.

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Complete question =

Mandy Company has the following information from last month:

Standard direct labor hours allowed for units produced (SQ) 3,800

Actual direct labor hours worked (AQ) 3,650

Direct labor efficiency variance, favorable (F) $ 6300

Total payroll $ 190530

What was Mandy's actual direct labor rate per hour (AP), rounded to two decimal places?

The number of ways to tile a 2 × n rectangular checkerboard using 1 × 2 and 2 × 2 pieces can be determined using the recursive formula T(n) = T(n-1) + T(n-2), with the base cases T(0) = 1 and T(1) = 1.

To determine the number of ways to tile a 2 × n rectangular checkerboard using 1 × 2 and 2 × 2 pieces, we can use a recursive approach.

Let's consider the first column of the checkerboard. We can place either a 1 × 2 piece or a 2 × 2 piece in this column.

If we place a 1 × 2 piece in the first column, we are left with a 2 × (n-1) rectangular checkerboard to tile. The number of ways to tile this smaller board is the same as the number of ways to tile a 2 × (n-1) checkerboard.

If we place a 2 × 2 piece in the first column, we are left with a 2 × (n-2) rectangular checkerboard to tile. The number of ways to tile this smaller board is the same as the number of ways to tile a 2 × (n-2) checkerboard.

Therefore, the total number of ways to tile a 2 × n rectangular checkerboard is the sum of the number of ways to tile a 2 × (n-1) checkerboard and the number of ways to tile a 2 × (n-2) checkerboard.

To find a recursive formula, let's denote the number of ways to tile a 2 × n checkerboard as T(n). Using the above observations, we have:

T(n) = T(n-1) + T(n-2)

We can use this recursive formula to calculate the number of ways to tile the checkerboard for increasing values of n.

Starting with the base cases, we have:

T(0) = 1 (Empty board, only one way to tile it)

T(1) = 1 (2 × 1 board, only one way to tile it)

Using the recursive formula, we can calculate the number of ways to tile the checkerboard for larger values of n. For example:

T(2) = T(1) + T(0) = 1 + 1 = 2

T(3) = T(2) + T(1) = 2 + 1 = 3

T(4) = T(3) + T(2) = 3 + 2 = 5

By continuing this process, we can find the number of ways to tile the checkerboard for any value of n.

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Answer:

C: ratio of the horizontal change to the vertical change of a line

Step-by-step explanation:

A and B are correct.

C is incorrect.

Answer:

712,402,207

Step-by-step explanation:

;)

Answer: 711,142,207

Step-by-step explanation:

Answer: x=14°

Step-by-step explanation:

All angles of a triangle added together is 180°. So we can add the angles together.

7x-11+5x-2+2x-3=180           [combine like terms]

14x-16=180                             [add both sides by 16]

14x=196                                  [divide both sides by 14]

x=14

Therefore, x=14°.

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

\(\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

                Given that x = 6 and y = -4, evaluate the following expression:-

                        \(\bold{3x+\dfrac{x}{y} y^2}\).

\(\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\)

             First,  substitute 6 for x:-

          \(\bold{3(6)+\dfrac{6}{y} y^2}\)

           Now, write -4 in lieu of y:-

        \(\bold{18+\dfrac{6}{-4} (-4)^2}\)

On simplification,

          \(\bold{18+\dfrac{6}{-4} *16}\)

On further simplification,

 \(\bold{18+\dfrac{3}{-2} *16}\)

Which results in

\(\dashrightarrow\bigstar\star\boxed{\boxed{\bold{\underline{-6}}}}\dashleftarrow\)

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

Answer: Total surface area of cuboid = 312 sq m

Step-by-step explanation:

Let the length of the cuboid be " X "

Then the breadth of it will be X/4

and the hight of it will be X × 2/3

So the volume will be

= L × B × H

= X × X ÷4 × X× 2÷3

2 X ^ 3

= --------------

12

X^3

= ------------- = 288

6

X^3 = 288 × 6 =1,728

X = cuberoot 1,728

= 12

Length 12

Breadth 12÷4 = 3

Hight 12 × 2 ÷3 = 8

Total surface area of cuboid

= 2 LB +2 BH +2 LH

= 2× 12× 3 + 2× 3 × 8 + 2× 12 × 8

= 312 sq m

The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)

Recall that volume is

V = πr²h

Given:

h = 5 feet

r = 2/2 = 1

Hence

V = 5 x 1 x 22/7

= 15.7142857143

Hence, the cylinders volume in cubic feet is given as:

\($\approx$\) 15.7 ft

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Answer: 15.7 ft3

Step-by-step explanation:

The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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1.) To solve the inequality \(g/20 ≤ 5\) for \(g\), we can multiply both sides by \(20\) to get rid of the fraction. This gives us\(g ≤ 100\). So the solution to the inequality is  \(g ≤ 100\)\(.\)

The solution of the expression is,

⇒ d < 0

Since,

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The expression is,

⇒ 3 + d < 3 - d

Now, We can simplify as;

⇒ 3 + d < 3 - d

⇒ 3 + d + d < 3

⇒ 3 + 2d < 3

⇒ 2d < 0

⇒ d < 0

Thus, The solution of the expression is,

⇒ d < 0

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Since  

3

x

2

a

,

3

x

a

2

contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for  

3

x

2

a

,

3

x

a

2

:

1. Find the GCF for the numerical part  

3

,

3

2. Find the GCF for the variable part  

x

2

,

a

1

,

x

1

,

a

2

3. Multiply the values together

Find the common factors for the numerical part:

3

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

The factors for  

3

are  

1

,

3

.

Tap for more steps...

1

,

3

List all the factors for  

3

,

3

to find the common factors.

3

:  

1

,

3

3

:  

1

,

3

The common factors for  

3

,

3

are  

1

,

3

.

1

,

3

The GCF for the numerical part is  

3

.

GCF

Numerical

=

3

Next, find the common factors for the variable part:

x

2

,

a

,

x

,

a

2

The factors for  

x

2

are  

x

⋅

x

.

x

⋅

x

The factor for  

a

1

is  

a

itself.

a

The factor for  

x

1

is  

x

itself.

x

The factors for  

a

2

are  

a

⋅

a

.

a

⋅

a

List all the factors for  

x

2

,

a

1

,

x

1

,

a

2

to find the common factors.

x

2

=

x

⋅

x

a

1

=

a

x

1

=

x

a

2

=

a

⋅

a

The common factors for the variables  

x

2

,

a

1

,

x

1

,

a

2

are  

x

⋅

a

.

x

⋅

a

The GCF for the variable part is  

x

a

.

GCF

Variable

=

x

a

Multiply the GCF of the numerical part  

3

and the GCF of the variable part  

x

a

.

3

x

a

Answer: 3xa

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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The probability that exactly 6 of 8 adult use their smartphones in meetings or classes is 0.147 or 14.7% .

The complete question is

Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes.

Probability is the measure of likeliness of an event to happen.

The probability given is

p = 54% = 0.54

n =8

r = 6

The binomial Probability is given by

\(\rm P(x) = ^n C_r p^r q^{n-r}\)

The probability that exactly 6 people use smartphones in a class of 8 student is given by

\(P(x) = \dfrac{n!}{r! (n-r)!} p^r q^{n-r}\)

Here q represents the complement

q = 1 -p

q = 1-0.54 = 0.46

\(P(6) = \dfrac{8!}{6! (2)!} 0.54^6 0.46^{2}\\\\\P(6) = \dfrac{8 * 7}{ 2} 0.54^6 0.46^{2}\\\P(6) = 0.147\)

Therefore The probability that exactly 6 of 8 adult use their smartphones  in meetings or classes is 0.147 or 14.7% .

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Answer:

92

Step-by-step explanation:

68+74+86+x/4 ≤ 80

Answer:

T= 1.29k

Step-by-step explanation:

T= total price which is an independent variable

? kgs since we dont know how many kilograms she will buy.

k = number of kilograms of food

Each kilos costs is 1.29

T= 1.29k

If you add a small imperfection to a system that has saddle-node bifurcation, the system will experience a phenomenon known as "imperfect bifurcation."

This means that the bifurcation will not occur at a single, well-defined point, but rather over a range of parameter values. This can lead to a change in the dynamics of the system, such as the appearance of new attractors or the disappearance of existing ones. In general, imperfect bifurcation can make the behavior of a system more complex and difficult to predict.

Moreover, the specific effect of the imperfection will depend on its size, location, and nature, and can vary between different types of saddle-node bifurcations, such as fold or transcritical bifurcations. Therefore, the analysis of imperfect bifurcation requires a detailed understanding of the system's dynamics and the effects of perturbations.

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Hourly earnings of call center employees is not a discrete random variable.

The answer is C.

The continuous random variable is not a discrete random variable. Continuous random variables are variables that can take an infinite range of values within a specific range, such as time, length, and weight.

A discrete random variable is a random variable that can only take certain discrete values. A discrete random variable is defined as a variable that takes on a specific set of values or a range of values.

The number of births, number of fives, and number of applicants are all random variables that can only take certain discrete values within a particular range of possible values.

So, the answer is C. The hourly earnings of a call center employee in Boston is not a discrete random variable.

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The probability of being offered both jobs is 0.15, which is equal to the probability of job A multiplied by the probability of job B.

The probability of getting at least one of the jobs is the sum of the individual probabilities. In this case, the probability of getting at least one of the jobs is 0.40, which is equal to the sum of the individual probabilities of getting job A (0.25) and job B (0.20). This means that the probability of getting both jobs is equal to the probability of job A multiplied by the probability of job B, which is 0.25 x 0.20 = 0.15. This can be understood by considering the fact that the probability of getting both jobs is the same as the probability of getting job A and then getting job B, which is the product of the individual probabilities. Therefore, the probability of being offered both jobs is 0.15, which is rounded to two decimal places.

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