Marcus goes for a hike. He begins at an elevation of 3712 feet. The trail drops 50 feet in elevation from beginning to end. What is Marcus's final elevation?

Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

When you divide a fraction you always multiply the reciprocal of number you divide. So then what you are doing is 3/8*5 which is 15/8.

Hope this helps! <3

Answer:3/4

Step-by-step explanation:

3/8 ÷ 5

1L = 1,000ml

Therefore

2.486L = 2.486 · 1,000ml = 2,486ml

Answer:

5+4<10+2

Step-by-step explanation:

Hello from MrBillDoesMath!

Answer:

(x-2)/(x-5)

Discussion:

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  =   ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Regards,  

MrB

(x-2)/(x-5)

Factor the numerator and denominator:

x^2 + x - 6 = (x+3)(x-2)

x^2-2x-15 =  (x+3)(x-5)

So  

( x^2 + x - 6) / x^2-2x-15  

= ( (x+3)(x-2) ) / ( (x+3)(x-5) )

Cancelling the (x+3) term in numerator and denominator gives

(x-2)/(x-5)

Learn more about rational expression here https://brainly.com/question/19585906

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Answer:

$276.26

Step-by-step explanation:

We have been given the principal amount as 250 dollars and rate of interest as 2.5%. Furthermore, we are given that interest is compounded monthly and we are required to find the future value after 4 years.

Therefore, we will use compound interest formula:

[tex]A=P(1+\frac{r}{n})^{nT}[/tex]

Where, we have

[tex]P = 250, r = 0.025, n = 12, T = 4[/tex]

Thus, upon substituting these values in the formula, we get:

[tex]A=250(1+\frac{0.025}{12})^{12\cdot 4}\\A=250(1+0.002083333)^{48}\\A=250(1.002083333)^{48}\\A=250\cdot 1.10505596A=276.26[/tex]

Therefore, she will have $276.26 in her account after 4 years.

Answer:

Option D is correct.

Money she wil have after four years, $276.26

Step-by-step explanation:

As per the statement:

Principal(P) =$ 250 , Annual interest Rate(r) = 2.5% and Time(t) = 4 years.

Also, n = 12

To find how much money will she have after 4 years.

The formula for amount is given by:

[tex]A = P(1+\frac{r}{100n})^{nt}[/tex]                   ......[1]

where

A represents  the Amount

P represents the Principal

r represents the annual rate of interest.

and t represents  the time in years.

Substitute the given values in [1] we get;

[tex]A = 250(1+\frac{2.5}{12 \cdot 100})^4\cdot 12[/tex]

[tex]A = 250(1+0.00208333333)^48[/tex]

or

[tex]A = 250(1.00208333)^48[/tex]

Simplify:

A=  $276.26

Therefore,  $276.26 money will she have after 4 years

Answer:

Step-by-step explanation:

a) y=800x+1000=800(12)+1000

b)y=1000x              (15 months)  

Answer:

Linear model is given as

Total cost of renting = 1000 + n(800)

Total cost of renting for 6 months = $5800

Step-by-step explanation:

The linear model can be represented as follows ;

The one time fee = $1000

monthly fee = $ 800

Total cost of renting = 1000 + n(800)

n  = number of month you will rent

Total cost of renting office space for 6 months can be computed using the model.

Total cost of renting = 1000 + n(800)

where n = 6 months

Total cost of renting for 6 months = 1000 + 6(800)

Total cost of renting for 6 months = 1000 + 4800

Total cost of renting for 6 months = $5800

Answer:

A. The car travels the same distance per unit of time because the portion shows a linear, increasing function.

Step-by-step explanation:

The portion of the graph labelled I is linear increasing function. So, the slope is constant. The slope is the the ratio of change in the quantity of y-axis to that of x-axis.

Here distance is plotted in the y-axis and time in the x-axis.

So, the slope here is Distance covered/ Time, which is nothing but the speed of the car.

Since the slope is constant, the car is travelling at a constant speed in the portion of the graph labelled I, which means, the car travels the same distance per unit of time in the portion I.

Answer:

its a hope this helps

Step-by-step explanation:

Answer:

it would be 800 because 2.8% of 800 is 22.40 and that is your answer.

hope i helped :)

Answer:

$800.

Step-by-step explanation:

We have been given that Gene's deposit earns 2.8 percent simple annual interest. At the end of the year, the interest that is earned is $22.40. We are asked to find the amount of original deposit.

To find the original amount of deposit, we use simple interest formula:

[tex]I=Prt[/tex], where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

Let us convert our given interest rate in decimal form.

[tex]2.8\%=\frac{2.8}{100}=0.028[/tex]

Upon substituting our given values in above formula, we will get:

[tex]\$22.40=P*0.028*1[/tex]

[tex]\$22.40=P*0.028[/tex]

[tex]\frac{\$22.40}{0.028}=\frac{P*0.028}{0.028}[/tex]

[tex]\$800=P[/tex]

Therefore, the amount of original deposit was $800.

Answer: A. (4,0)

Step-by-step explanation: It is the only ordered pairs that are on the line.

Hope this helps! :)

Answer:

2/4

Step-by-step explanation:

A fraction that is equivalent to [tex]\frac{1}{2}[/tex] is [tex]\frac{14}{28}[/tex]

These fractions have the same value. Although the numerators and denominators of these fractions look different, their fractional values are the same.

Answer: we need the measurements

Step-by-step explanation:

Answer:

Answer is B. $624

Step-by-step explanation:

So first off, you multiply. Amara earns $8 every hour and she works 25 hours every week. There are 4 weeks in a month so we first multiply 25 × 4 and we get 100

Now we multiply 100 × $8 and you get $800

But then it says that 22% of her money goes to taxes. So what we have to do is reduce from that total gross pay ($800). So the first thing we do is change the 22% to a decimal by moving the invisible decimal point twice to the left and it leaves us with .22

Now, we multiply $800 × .22 and we get $176. Now, do not get confused! This $176 is not the final answer! That is just the amount of money we have to take away not the money it leaves us with.

So we take away now from our total: $800 - $176 = $624

And there's your answer! I hope this helps :)

Answer:

b

Step-by-step explanation:

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1 quart = 32 ounces

10 x 32 = 320 ounces needed

320 ÷ 6 = 53.33  

Since he can't buy half of a container he would need to purchase 54 containers.

To fulfill a need for 10 quarts of Dr. Pepper using 6-ounce containers, Brian must buy 54 containers, after converting quarts to ounces and dividing by the container size.

Brian needs 10 quarts of Dr. Pepper. He is considering buying containers that hold 6 ounces each. To determine how many containers he needs, we must convert quarts to ounces because the volume of the drink given in two different units. There are 32 ounces in 1 quart.

Therefore, 10 quarts is equivalent to 320 ounces (10 quarts x 32 ounces/quart). Since each container holds 6 ounces, Brian needs 320 ÷ 6 containers. Dividing 320 by 6 gives approximately 53.33. Since Brian cannot buy a fraction of a container, he will need to purchase 54 containers of Dr. Pepper to meet his requirement of 10 quarts.

Answer:

1) Total votes = 260

2) option (a) CANNOT be used to answer this question

================================================

Step-by-step explanation:

Part (A)

let all the votes = x

Violet received 156 votes which equal to 60% of all the votes

∴ 156 = 60% of x

60% = 60/100 = 0.6

∴156 = 0.6 x ⇒ x = 156/0.6 = 260 votes

Part (B) :

options (b), (c) and (d) can be used to answer this question because they will give the same result of part (A)

While option (a) CANNOT be used to answer this question.

Check the following

a. 0.6 times 156 = x   ⇒  x = 93.6

b. 156 = 0.6x              ⇒ x = 260

c. 156/0.6 = x             ⇒ x = 260

d. 156/x = 60/100      ⇒ x = 260

The length and width of a box is required.

The equation describing the situation is [tex]V=3W^2H[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

h = The height of the box = 7 cm

V = Volume of the box = [tex]336\ \text{cm}^3[/tex]

Length of the box is three times the width.

[tex]L=3W[/tex]

Volume of a cuboidal box is given by

[tex]V=LWH\\\Rightarrow V=(3W)WH\\\Rightarrow V=3W^2H[/tex]

The equation describing the situation is [tex]V=3W^2H[/tex]

Solving the equation

[tex]W=\sqrt{\dfrac{V}{3H}}\\\Rightarrow W=\sqrt{\dfrac{336}{3\times 7}}\\\Rightarrow W=\sqrt{16}=4[/tex]

[tex]L=3W=3\times 4\\\Rightarrow L=12[/tex]

Length of the box is 12 cm and width of the box is 4 cm.

Learn more:

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Answer:

Base = 16 cm

Step-by-step explanation:

Area of triangle is given by:

Area of Triangle = [tex]\frac{1}{2}bh[/tex]

Where [tex]b[/tex] is the base and [tex]h[/tex] is the height.

The problem says that area is 56 ([tex]A=56[/tex]) and height is 7 ([tex]h=7[/tex])

Plugging in the values we can solve for base:

[tex]A=\frac{1}{2}bh\\56=\frac{1}{2}b(7)\\56=\frac{7}{2}b\\b=\frac{56}{\frac{7}{2}}=56*\frac{2}{7}=16[/tex]

Hence, the base of the triangle is 16 cm

Answer:

C

Step-by-step explanation:

Just took the test. Good luck

The statement is false; a parameter is the actual value in the population, while a statistic is the estimate derived from a sample. It's crucial to differentiate between the two when discussing data analysis and inferential statistics.

The statement in question is false. The actual value of the population that the parameter tries to estimate is not called the statistic; it is indeed called a parameter. Parameters are the true values within a population. On the other hand, a statistic is an estimate of a population parameter and is derived from a sample that is intended to be representative of the population.

For instance, consider the population parameter of average corn yield in an area. This parameter is estimated with a sample average, which is the statistic. The sample average serves as a best estimate but is distinct from the true average yield for all farms in the target area, exhibiting variability from sample to sample.

The work of data analysis and inferential statistics involves using sample statistics to make inferences about population parameters. Understanding the difference between the two is crucial, and it involves acknowledging the concept of sampling error that arises due to discrepancies between the parameter and the statistic used to estimate it.

Answer:

Corresponding: 1 and 5, 2 and 6, 3 and 7, 4 and 8

Alternate Exterior Angles: 1 and 8, 2 and 7

Alternate Interior Angles: 3 and 6, 4 and 5

Step-by-step explanation:

Searching up the definitions could really help you understand what kinds of angles there are.

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal.

Alternate exterior angles are defined as two exterior angles on opposite sides of a transversal which lie on different parallel lines.

The corresponding angles are the ones at the same location at each intersection.

Hello,

Let's be x the length of the 3 side (9,x,23) ==>x>0

Using inequality triangular:

9<x+23==>x>9-23==>x>-14 (done)

x<9+23==>x<32

23<x+9==>x>14

SO 14<x<32

Answer:

[tex]14<x<32[/tex]

Step-by-step explanation:

Let x be the third side of triangle.

We have been given that two sides of a triangle measure 9 cm and 23 cm. We are asked to find the measure of third side of triangle.

We will use triangle inequality theorem to solve our given problem.

Triangle inequality theorem states that sum of two sides of a triangle must be greater than third side of triangle.

Using triangle inequality theorem, we will get:

(1) [tex]x+9>23[/tex]

[tex]x+9-9>23-9[/tex]

[tex]x>14[/tex]

(2) [tex]9+23>x[/tex]

[tex]32>x[/tex]

(3) [tex]x+23>9[/tex]

[tex]x+23-23>9-23[/tex]

[tex]x>-14[/tex] (Not applicable as length cannot be negative).

Therefore, the measure of third side of triangle would be [tex]14<x<32[/tex].

Answer:

The total amount of possible outcomes is 12.

Step-by-step explanation:

1.) 1-h

2.) 1-t

3.) 2-h

4.) 2-t

5.) 3-h

6.) 3-t

7.) 4-h

8.) 4-t

9.) 5-h

10.) 5-t

11.) 6-h

12.) 6-t

Hope this helps!! (:

Hi there! :)

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]

Slope is 14/-6

Final answer is 14/-6

Hope this helps!

-Charlie

Have a nice day! :)

:D

Thanks!

Answer:

Part A

(5x+4)+(6x-9)=11x-5

part (B)

(5x+4)(6x-9)

30x²-45x+24x-36

30x²-21x-36

part (c)

m[n(x)]=m(6x-9)+4=30x-45+4=30x-41

Step-by-step explanation:

Answer:

12 ft

Step-by-step explanation:

Basically, geometry screws with your mind. It's tough, but you have to imagine these triangles set up next to each other, or use your finger to trace to the different points, that way you can situate yourself.

So, there are three triangles, ΔCAD, ΔBCD, and ΔBAC. and they're all similar. this would be the answer to your first question. (If you need help finding them, use the methods I mentioned earlier :))

Now, to figure out the proportions, look at which sides are the same (not literally, but size wise. Like, the hypotenuse is always the 2nd longest, the bottom is the longest, and the side is the shortest.

CD and BD go together because #1 the letters go from the top tip of the Δ to the bottom where they meet the bottom side. Now, as for AD, that's the hypotenuse. So, you find another hypotenuse from the other two triangles. (The other two are AC and CB).

the last one heey put that CA and BA are proportionate. CA and BA happen to both be bottoms of Δ's. then they put AC. AC is both a hypotenuse and a bottom, so you have a variety of sides you could go with. (hypotenuses:AD, CD, bottoms:AB, and CB)

I hope this helps!

Answer:

1 12/21 or 32/21

Step-by-step explanation:

Okay, it may seem a little complex but you will have to break it down bit by bit. So, if you are dividing a fraction by a decimal I would turn the decimal into a fraction, in this case turn 0.35 into a fraction. You get it? I'm a seventh grader and I get stuck on these too! So, 0.35 as a fraction is 7/20. Next you divide 8/15 by 7/20. Not trying to get you confused but in my math class this is the same thing as multiplying by the reciprocal of the second fraction. So, what is 8/15 divided by 7/20 or 8/15 times 20/7? I will do the multiplying way so lets do the numerators first. 8 times 20 is 160. For the denominators, 15 times 7 is 105. Your final fraction is 160/105. Lastly you have to simplify it. It turns into a mixed number and your final answer is 1 12/21 or simplified is 32/21. Hope this helped! :-)

Final answer:

To find the value of the expression 8/15 divided by 0.35, multiply the first fraction by the reciprocal of the second fraction. Simplify the resulting fraction to get the final answer.

Explanation:

To find the value of the expression 8/15 divided by 0.35, we need to divide 8/15 by 0.35.

We can represent 0.35 as a fraction by dividing it by 1. So, 0.35 is equal to 35/100 or 7/20.

Now, let's divide 8/15 by 7/20.

Therefore, the value of the expression 8/15 divided by 0.35 is 160/105.

I believe you are asking for the answer choices to the lesson Perpendicular and Angle Bisectors U6 L2. Here are the answers for it:

1. B

2. C

3. A

4. C

5. C

33/4 = 8.25 per hour.