The most appropriate choice for** distance **will be given by-

Michael drove [tex]350[/tex] miles

**What is Distance?**

The **length** of the **path** an object takes without taking into account the direction of motion of the object is known as **distance.**

If [tex]s[/tex] is the **speed **of the object and [tex]t[/tex] is the** time**, then

**Distance** = [tex]s \times t[/tex]

Here,

Amount of money charged by a rental company for one day = $[tex]80[/tex]

Amount of money charged by a rental company for four days = $[tex](80 \times 4)[/tex]

= $320

Total bill charged by the rental company = $[tex]460[/tex]

Remaining bill = $[tex](460 - 320)[/tex]

= $[tex]140[/tex]

Amount of money charged by a rental company for one mile = [tex]40[/tex] cents

= $[tex]0.40[/tex]

Number of miles driven by Michael = [tex]\frac{140}{0.40}[/tex]

= [tex]350[/tex] miles

Michael drove [tex]350[/tex] miles

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Brown bears attempt to catch salmon. during the day, 20% of the attempts are successful. during the night, 36% of attempts are successful. a bear tries to catch 40 fish during the day and makes 50 attempts at night. use probability to estimate the number of fish the bear caught.

The** probability** for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

**Percentage **of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / **Total attempts**

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The **probability** for the number of fish the bear caught is 0.289

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How would you write (a-b)^5 without simplifying it?

The way we can write the expression (a - b)⁵ without simplifying is by using **Pascals' Triangle** to get; a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

**Pascal’s Triangle **is a method that is used to know the **binomial coefficients** of terms of binomial expression (x + y)ⁿ, where n can be any positive integer and x,y are real numbers.

For the expression (x + y)⁵, the coefficients are;

1, 5, 10, 10, 5, 1

According to the **binomial expansion**, the power of m will be decreasing while the power of 5 will be increasing as shown below. Thus;

(a - b)⁵ = (a + (-b))⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

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32 is 80% of what number?

**Answer:**

**40 **

**Step-by-step explanation:**

Given :

32=0.8x

( x is unknown number )

x=32/.8

x=40

13 What value of x makes the equation modeled below true? PHONE 1 1 1 A x = 1 B x = -1 C x = 7 D x = -5 I

SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

**CONCLUSION : The value of x = -1 ( OPTION B )**

arif's backyard is 22 by 32 meters. he wants to put a flower garden in the middle of the backyard, leaving a strip of grass of uniform width around the flower garden. to be happy, arif must have 288 m^2 of grass. under these conditions what will the length and width of the garden be?

The **dimension** of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m **length** and 16 m **width**.

The situation can be depicted on the attached picture.

We need to translate the word problem into **algebraic expressions**.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a **quadratic equation**. One of the methods to solve a quadratic equation is by **factorization**.

**Factorize** the left side:

(x - 3) (x - 24) = 0

x = 3 or x = 24

The length of the flower garden = 32 - 2x

The width of the flower garden = 22 - 2x

**Substitute** x = 3:

The length of the flower garden = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

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Anton picks corn at a local farm. He is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 cents per

bushel for all bushels picked over 100.

Determine how much Anton would earn if "x" is 128 bushels. $

First 50 bushels: 0.80 x 50 = 40

Next 50 bushels: 0.90 x 50 = 45

Remaining bushels: 0.95 x 28 = 26.6

$40 + $45 + $26.6 = $111.6

Next 50 bushels: 0.90 x 50 = 45

Remaining bushels: 0.95 x 28 = 26.6

$40 + $45 + $26.6 = $111.6

Anton would earn $111.6 if "x" is 128 **bushels**.

An equation is an **expression **that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An **equation **is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that **Anton **picks corn at a local farm.

Anton is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 **cents **per bushel for all bushels picked over 100.

Thus, First 50 **bushels**: 0.80 x 50 = 40

Next 50 bushels: 0.90 x 50 = 45

Remaining bushels: 0.95 x 28 = 26.6

**Total **= $40 + $45 + $26.6 = $111.6

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A new health drink has 130% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 45 mg. How many milligrams of the vitamin are in the drink?

In the **drink** , there are 58.5 milligrams of **vitamin** .

In the question ,

it is given that

the **recommended **daily allowance for a certain vitamin is = 45 mg

we have to find the quantity of the vitamin in **the drink** ,

also given that the amount of vitamin that the new drink has is = 130% of **RDA** ,

on substituting the value of recommended **daily allowance** ,

we get

amount of **vitamin** in the drink is = 130% × 45

= 1.3 × 45 ... because 130% = 1.3

= 58.5 mg

Therefore , the **drink** has **58.5 milligrams** of the vitamin .

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What are the coordinates of the point on the directed line segment from (3,−3) to (7,5) that partitions the segment into a ratio of 5 to 3

The **coordinates **along the directed line **segment** is (37/7, 11/7)

The **points** are given as:

A = (3, -3)

B = (7, 5)

The **ratio **on the **segment **can be represented as;

m : n = 4 : 3

So, we have the **coordinates **of the **point **that lies along the directed line **segment **to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point = 1/7 * (37, 11)

Evaluate the **products**

Point = (37/7, 11/7)

Hence, the **coordinates **of the **point **is (37/7, 11/7)

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Please help me

What is the sign of 3.456 + \left(-3.456\right)3.456+(−3.456)

A. Positive

B. Negative

C. Neither positive nor negative—the sum is zero.

The **sign** of 3.456+(-3.456) is neither **positive** nor **negative**—the sum is zero.

We are asked to find the **sign **of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get **zero** only.

Also zero is neither **positive** nor **negative.**

Hence there is no sign for 3.456+(-3.456).

Also **3.456+(-3.456) = 0.**

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Nitin and Sharat were going to Delhi by different trains.

Their trains were scheduled to reach at 10:30 am and 11:15am respectively.

Nitin’s train reached late but Sharat’s train reached on time.

Nitin’s train reached 10 minutes AFTER Sharat’s train.

By how many minutes was Nitin’s train late?

**Answer:**

55 minutes

**Step-by-step explanation:**

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

plsssss helpp me out asap

**Answer: **[tex]m = 7.3\pi[/tex]

I multiplied both sides by pi to isolate m.

The area of a square field is 3.24hectares . Find its perimeter in decimeters

The **filed **has a **perimeter **value of 720000 decimeters

From the question, the **area **of the **field **is given as

Area = 3.24 hectares

Also, we have the shape of the field to be **square**

So, we start by calculating the **side length **of the field using

Length = √Area

Substitute the known values in the above equation

Length= √3.24 hectares

Length= √3.24 * 10000 square meters

Evaluate the square root

Length= 18000 meters

The **perimeter **is calculated as

P = 4 * Length

So, we have

P = 4 * 18000 meters

Evaluate

P = 72000 meters

Convert

P = 720000 decimeters

Hence, the **perimeter** is 720000 decimeters

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Which expression is equivalent to t+4+3-2t

**Answer:**

7-t

**Step-by-step explanation:**

t+4+3-2t

= t+7-2t

= -t+7 or 7-t

What is y=1x+0 in standard form?

**Answer:**

0

**Step-by-step explanation:**

Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0

What is the

Domain??

Someone pls help me outtt

**Answer:**

:]

**Step-by-step explanation:**

[tex]-2\leq x\leq 2[/tex]

**Answer:**

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

what is x=.30(729). explain

**Answer:**

x = 218.7

**Step-by-step explanation:**

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar. What is the most relevant image she should add to her slide?

From following steps, she can add relevant pictures to her **slide**.

It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved **PowerPoint** presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.

Given Data

Eden is creating a presentation about bee hummingbirds in **PowerPoint** Online, She would like to add an image to her side about how they collect nectar.

From following steps, she can add relevant pictures to her slide.

Open the slide to which you wish to add a photograph.

Point to Picture in the **Insert** menu, and then click Photo Browser.

Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.

Then drag it to the **slide**.

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Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible.

(2,-6); y = 2/3x-4

**Answer:**

**Step-by-step explanation:**

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

22. A student recorded her scores on weekly math quizzes that were marked out of a

possible 10 points. Her scores were as follows:

8, 5, 8, 5, 7, 6, 7, 7, 5, 7, 5, 5, 6, 6, 9, 8, 9, 7, 9, 9, 6, 8, 6, 6, 7

What is the mode of her scores on the weekly math quizzes?

**Answer:**

6 since it occurs the most times

7 or 6 they both occur 6 times

need help please

mrs dawson bought 6 new plants for her garden each plant cost $5 the store gave her a discont so she only paid 2/3 pf a ragular price for each plant

use the propertys of multiplation to find the total cost for all the plants

A. $3.33

B. $20.00

C $45.00

D. $30.00

**Answer:**

B

**Step-by-step explanation:**

6x5=30

30x2/3=20

Please help math 100 points its easy.

From the given **statement** based on different conditions following are** true** :

Statement **2, 3, 4** are true

As given in the question,

1. Lisa has 1 4/12 cups of grapes = 16 /12 cups

Dawn has 1 11/12 cups of grapes = 23 /12 cups

Together they have = (16/12) + (23/12)

= (39 /12) cups of grapes

Given **statement** of 2 1/2 cups of grapes is false.

2. Rachel has 1 7/15 cups of chocolate chips = 22/15

Maya has 8/15 cups of chocolate chips

Rachel has more cups of chocolate chips than Maya

Difference = (22/15) - (8/15)

= 14 /15

3. George has 2 5/10 cups of milk = 25 /10

Raymond has 1 1/10 cups of milk =11 /10

George has more cups of milk than Raymond

Difference = (25 /10) - (11/10)

= 14/10

= 1.4 cups of milk

≈ 1 cup of milk (approximately)

Statement is **true.**

4. Gavin has 1 13/14 buckets of water = 27 /14

Devin has 1 3/14 buckets of water = 17 /14

Together they have = (27/14) +(17/14)

=44/14

= 3.14

≈ 3(approximately) buckets of water

Statement is true.

Therefore, from the given **statement** based on different conditions following are true :

Statement 2, 3, 4 are true .

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What is 39,400,000 in scientific notation?

**Answer:**

3.94*10^7

**Step-by-step explanation:**

**Answer:**

3.94 * 10^7

**Step-by-step explanation:**

:]

13 gallon of water in a 3-gallon container. What fraction of the container is filled?

**Answer:**

1/9

**Step-by-step explanation:**

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is 1/9

**(1/3 of a gallon divided by 3 gallons equals 1/9)**

HELP ASAP NEEDS TO BE DONE BY TONIGHT

**Answer: y = (5x/4) + 2**

**Step-by-step explanation:**

**Answer:**

y = 5/4x + 2

**Step-by-step explanation:**

First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):

5y = -4x + 15

Divide both sides by five

y = -4/5 (x) + 3

The slope is -4/5

A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.

Slope = 5/4

Plug the slope and (-4, -3) into the slope-intercept form:

-3 = ( 5/4 · -4 ) + b

Isolate b (the y-intercept):

-3 = -5 + b

b = 2

y = 5/4x + 2

3 x blank x blank x blank = 36

**Answer:**

3x2x2x3

**Step-by-step explanation:**

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems. Let x represent the number of 2-point problems. Let y represent the number of 4-point problems. Total amount of points = point worth Â x + point worth Â \

The **equation** that represents the total points on the test formed by the number of 2-point problems and the number of 4-point **problems** will be 2x + 4y = 100.

An **equation** is used to show the relationship between the variables that are given.

In this case, the test in math **class** has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the **number** of 2-point problems. Let y represent the number of 4-point problems.

The appropriate **equation** will be:

2x + 4y = 100

This illustrates the **equation**

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What is the answer please…

**Answer:**

answer is T 25............

Which choice shows 2-3-15 rewritten correctly using the commutative property and then simplified correctly?

According to the **commutative** property of addition, you can rearrange the **addends** without altering the result.

2 + (-3) +(-15) = (-3) +(-15) +2

What is commutative property?To learn more about : C**ommutative **

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The finish line is 253 m away. You begin to run from rest. You must reach a velocity of 53.2 m/s or you will explode. What must your acceleration be?

The **acceleration **require for the body to **not explode** will be **0.2941**[tex] m/s^2 [/tex]

The finish line as given is **253m **away so that **distance **to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of **initial **velocity and **final **velocity divided by 2.

∴ Average velocity = (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = **26.6m/s**

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = **9.51s**.

Now as we know by the formula to calculate **acceleration **we need the average **velocity**, average **time **and we have both of them.

∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]

∴ Acceleration = 0.2941[tex] m/s^2 [/tex]

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Which of the following is a balanced equation?

KCIO(3)-->KCI + O(2)

KCIO(3)-->3 KCI + O(2)

2KCIO(3)-->KCI + 3 O(2)

2KCIO(3)-->2 KCI + 3 O(2)

Select one:

a. A

b. B

c. C

d. D

Based on the **chemical equations** given, the **balanced **equation would be d. D.

In Chemistry, a **balanced equation **is one that has the same number of **atoms **on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2** KCI atoms** and 6 **Oxygen atoms **on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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Find the end behavior of the polynomial function y = 9x2 + 8x + 9.
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Methanol has a density of 0.792 g/mL. What is the volume of 0.5 moles of methanol?
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