The zoo has zebras, lions, and vultures in the Africa exhibit. There are 18 total animals, with 60 total legs. The number of zebras is equal to twice the number of lions.

Answer:

20,000

Step-by-step explanation:

12,469 rounds down to 12,000 and 8141 rounds down to 8000, so you have 20,000.

Adds up. 12,469+8141=20610.

Answer:

d=-6.5

Step-by-step explanation:

2d+13=0

2d=-13

d= -13/2

d=-6.5

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

Lets suppose total number of tickets=X

so, 45= 60/100× X

X = 75

so total number of tickets are 75 therefore 75-67.5= 7 tickets have been sold

Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

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Answer:

c = 8

Step-by-step explanation:

Using the Intersecting Chords Theorem, we can form the following equation and solve for c:

\(ab=cd\\(10)(8.8)=11c\\88=11c\\c=8\)

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

In accordance with the information presented in the statement, we find a parabola whose axis of symmetry is parallel to the y-axis. The location of the vertex is the midpoint of the segment between the focus and a point of the directrix.

V(x, y) = 0.5 · (- 3, 4) + 0.5 · (- 3, 2)

V(x, y) = (- 3, 3)

The distance between the focus with respect to the vertex (p) is:

D(x, y) = F(x, y) - V(x, y)

D(x, y) = (- 3, 2) - (- 3, 3)

D(x, y) = (0, - 1)

Which a distance equal to - 1.

The standard form of the equation of the parabola is based on this model:

4 · p · (y - k) = (x - h)²             (1)

Where (h, k) are the coordinates of the vertex.

If we know that (h, k) = (- 3, 3) and p = - 1, then the standard form of the equation of the parabola is:

- 4 · (y - 3) = (x + 3)²

The standard form of the equation of the parabola with a focus at (- 3, 2) and directrix at y = 4 is - 4 · (y - 3) = (x + 3)².

The statement has typing and orthographical mistakes. Correct form is presented below:

What is the standard form of the equation of the parabola with a focus at (x, y) = (- 3, 2) and directrix at y = 4.

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Answer:

x=-3, y = 4/9

Step-by-step explanation:

This is in equation form.

Answer:

where?

Step-by-step explanation:

a. In interval notation, Increasing intervals: (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm). Decreasing intervals: (8am, 9am) U (11am, 12pm). Constant intervals: (9am, 10am) U (10am, 11am)

b. The increase in cost between 12 noon and 3 pm is $2.

c. Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

Interval notation is used to represent continuous intervals of numbers or values, like ranges on a number line.

The graph shows that from 8-9am, and 11-12pm, the cost from Swift Ride decreases.

We can represent it as (8am, 9am) U (11am, 12pm).

It increases at these times (12pm, 1pm) U (1pm, 2pm) U (2pm, 3pm).

And stays constant at : (9am, 10am) U (10am, 11am)

We simply deduct the 12pm's cost from 3pm's cost.

So, we have

Cost increase = $3.5 - $1.5

Evaluate the difference

Cost increase = $2

Hence, the cost increase is $2

When you plot the points provided for Yellow cab, you'll notice that Yellow Cab has a lower price per 1km than Swift ride at (8am, 9am) (9am, 10am) (2pm 3pm)

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Answer:

746

Step-by-step explanation:

i got the same question

Answer:

7x+10

Step-by-step explanation:

First, distribute the 2

2(x+5) +5x

2*x+2*5 +5x

2x+10+5x

Combine like terms

2x+5x+10

7x+10

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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If Fran and Jill made a new years resolution to ride bikes.  it will take 3 weeks for Fran and Jill to have ridden the same number of miles..

Let's assume that it takes "x" number of weeks for Fran and Jill to ride the same number of miles.

In the first week, Fran rides 40 miles, and Jill rides 70 miles.

In the "x"th week, Fran will have ridden a total of 40 + 55x miles.

In the "x"th week, Jill will have ridden a total of 70 + 45x miles.

For Fran and Jill to ride the same number of miles in "x" weeks, we need to solve the following equation:

40 + 55x = 70 + 45x

Simplifying this equation, we get:

10x = 30

x = 3

Therefore, it will take 3 weeks for Fran and Jill to have ridden the same number of miles.

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Answer:

Step-by-step explanation:

This is a standard normal distribution which means it has a mean of 0 and a standard deviation of 1. To shade 1 and 2 standard deviations above the mean just color in the area under the curve between 1 and 2

The percent of data is equal to .9772-.8413= .1359= 13.59%

The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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Answer:

fuctions and constants

Step-by-step explanation:

please mark as brainliest if it helped :D

Answer:

A= BH

A=8cm ×2.2 cm

A= 17.6cm²

Answer:

The angles are vertical and x = 128*.

Step-by-step explanation:

x is the same angle as 128, because the angles are vertical.

Have a nice day! :-)

Note: Consider we need to find the vertices of the triangle A'B'C'

Given:

Triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C'.

Triangle A,B,C with vertices at A(-3, 6), B(2, 9), and C(1, 1).

To find:

The vertices of the triangle A'B'C'.

Solution:

If triangle ABC is rotated 90 degrees clockwise about the origin to create triangle A'B'C', then

\((x,y)\to (y,-x)\)

Using this rule, we get

\(A(-3,6)\to A'(6,3)\)

\(B(2,9)\to B'(9,-2)\)

\(C(1,1)\to C'(1,-1)\)

Therefore, the vertices of A'B'C' are A'(6,3), B'(9,-2) and C'(1,-1).

Answer:

0.1

Step-by-step explanation:

Lol hi again . hope this helped you

Answer: 11/9

Step-by-step explanation:

you would cross out the two 4s(using butterfly method) and make them 1s. So 11 x 1 and 1 x 9 = 11/9

Answer:

11/4 times 4/9 is 11/9

Step-by-step explanation:

We have to find,

(11/4) times 4/9

\((11/4)(4/9) = (11*4/4*9)\)

We can cancel the 4s from the numeratorand denominator to get,

\((11*4/4*9) = (11*1/1*9) = 11/9\\=11/9\)

The answer is 11/9

Answer:

yes youre right it is point D

Step-by-step explanation:

The proportion of selling times in the sample that are greater than or equal to 10 days is 0.85.

As per the data given:

HOME Realty claims that it can sell a detached, residential house faster than any other realty company.

With the aim of examining HOME's claim, you sample 20 customers who sold a detached.

The data has been summarized in the histogram(attached at the end of solution)

Here we have to determine the proportion of selling times in the sample that are greater than or equal to 10 days.

Selling Time Frequency

0 - 10                    3

10 - 20                  4

20 - 30                 7

30 - 40                 3

40 - 50                 3

Frequencies for which selling times are 10 or greater

= 4 + 7 + 3 + 3

= 17

Total frequencies = 3 + 4 + 7 + 3 + 3

= 20

Proportion for which selling times are 10 or greater

= \($\frac{17}{20}\)

= 0.85

Therefore the proportion is 0.85.

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HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20 customers who sold a detached, residential house through HOME and record the selling times (in days) of the houses. Your data are summarized in the following histogram(attached at the end of solution):

Based on the histogram, find the proportion of selling times in the sample that are greater than or equal to 10 days. Write your answer as a decimal, and do not round your answer.

This question is of a topic called subset that is a part of set theory.

statement 1 is true. statement 2 is true. statement 3 is false, statement 4 is true.

I assume the questioner has the basic understanding of set theory and what subsets are.

Statement 1st "{1,2,3,4,5} ⊄ {1,2,4}" is true because here not every element of set {1,2,3,4,5} is an element of set {1,2,4}.

Statement 2nd "{11, 13, 15} ⊂ { 11, 12, 13, 14, 15, 16, ... }"  that is set {11, 13, 15} is a proper subset of set { 11, 12, 13, 14, 15, 16, ... } is true since every element of set {11, 13, 15} belongs to set { 11, 12, 13, 14, 15, 16, ... } also set

{11, 13, 15} is not equal to set  { 11, 12, 13, 14, 15, 16, ... }.

statement 3rd "∅ ⊈ {d, f, g, n}" is false since ∅ = null set is the subset of every set.

statement 4th "{21, 22, 23, 26, 29} ⊆ {21, 22, 23, 26, 29}" is true both sets have same elements therefore are subsets of each other and hence both are also equal to each other.

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Answer:

Yes, it is

Step-by-step explanation:

Yes, because all x terms have null or positive integer exponents:

g(x) = -x^3 + 2x^1 + 8^0.  

Answer:

Ans. Given, A1 = $2000 profit = A1 + (n-1)d d = $400 = -2000+(12-1)400 n = 12 = $2400

The required profit in the twelfth month is $2400.

Arithmetic progression is the series of numbers that have common differences between adjacent values

To solve this problem, we need to use the arithmetic sequence formula to find the profit of each month, then add up the profits for the first 12 months to find the profit in the twelfth month.

The first term (a₁) is -2000, the common difference (d) is 400, and we need to find the twelfth term (a₁₂).

We use the formula for the nth term of an arithmetic sequence:

an = a₁ + (n - 1)d

So, substituting the given values, we get:

a₁₂ = -2000 + (12 - 1)400

a₁₂ = -2000 + 11*400

a₁₂ = -2000 + 4400

a₁₂ = 2400

Therefore, the profit in the twelfth month is $2400.

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Given:

Height of the lighthouse = 280 feet

The angle of depression from the top of the lighthouse to a ship = 18°.

To find:

The distance between boat and shore.

Solution:

Draw a diagram by using the given information.

In a right angle triangle,

\(\tan \theta=\dfrac{Perpendicular}{Base}\)

In triangle ABC,

\(\tan C=\dfrac{AB}{BC}\)

\(\tan 18^\circ=\dfrac{280}{BC}\)

\(BC=\dfrac{280}{\tan 18^\circ}\)

Using a calculator, we get

\(BC=\dfrac{280}{0.3249}\)

\(BC=861.80363...\)

\(BC\approx 862\)

Therefore, the boat is 862 feet away from shore.

Answer:

Step-by-step explanation:

12.4% 153000 = 12.4/ 100  * 153000 = 0.124 * 153000 = 1897

84.1% 153000 = 84.1/100 * 153000 = 0.841 * 153000 = 128673

The difference (and the answer) is  128673 - 1897 = 126776

Note: 3.5% are not accounted for. They probably just sat down and wrote.