Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?

Answers

Answer 1

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

Answer 2
Answer:

7.5 m above sea level

__________________________________________________________

Step-by-step explanation:

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]


Related Questions

It’s math can you help with number 3 please?

Answers

Answer:

25

Step-by-step explanation:

16+9

Answer:

The correct should be 25.

Step-by-step explanation:

If this is incorrect let me know and I will correct it.

1. At Store A, the price for pineapples is $5.00 for 2 pineapples.
2. At Store B, the price for pineapples is $8.00 for 4 pineapples.

Which store is offering the lower price per pineapple? Show your work or explain your answer.

Answers

Answer:

Store B

Step-by-step explanation:

If you divide 5 by 2, you get the unit price for Store A which is $2.50.

If you divide 8 by 4, you get the unit price for store B which is $2.00

Store B has a lower unit price than store A therefore Store B is offering the lower price per pineapple.

I NEED HELP! Please.

Answers

Answer:

z = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

4z - 4 = 3z + 8

z = 12

Jordan's net income for the year ended December 31, Year 2 was $200,000.

Answers

I need more information to know what you are asking for an answer

Answer:

good for her / him but uh whats the question

How many pounds of grapes can I buy for $1.00?

Answers

2.09

Here you go! Hope it helps!

Solve this inequality for x 81-1 1/5x < 55

Answers

Answer:

81 - 1 1/5 x < 55

Step-by-step explanation:

-1 1/5x < -26

-6/5x< -26

x < -26 * -5/6

x < 65/3

Answer:

the answer is C it was on my mid-term

Step-by-step explanation:

Ruth's credit card has an APR of 10,91%, and it computes finance charges using the previous balance method on a
30-day billing cycle. During the April billing cycle, she made a $45.17 payment on April 10th and a $88.34 purchase on
April 17th. Her total at the start of May was $847.64. What was her balance at the beginning of April?
a $890.91
b. $797.22
C.$796.87
d. $804.47
Please select the best answer from the choices provided

Answers

Answer:

It's B trust

Step-by-step explanation:

The required balance at the beginning of April is $796.87. Option C is correct.

What is interest?

Simple interest is defined as the percentage of earnings on the lending for a period of time

To determine Ruth's balance at the beginning of April, we can work backward from her total at the start of May.

Let's call Ruth's balance at the beginning of May "B".

We know that during the April billing cycle:

She made a $45.17 payment on April 10th

She made a $88.34 purchase on April 17th

The APR is 10.91%

So, B = B - $45.17 - $88.34 + (B * 0.1091 * 30 / 365)

Solving for B, we get:

B = $796.87

So, the answer is C. $796.87.

Learn more about your interest here:
https://brainly.com/question/20406888

#SPJ6

Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6

Answers

Answer:

Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd

dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b

PLS HELP ME FAST WILL GIVE POINTS
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(9, 0), Q(6, 3), and R(−3, −6). Triangle P′Q′R′ has vertices P′(3, 0), Q′(2, 1), and R′(−1, −2). Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

The scale factor of the dilation that transforms the triangle is 1/3

Step-by-step explanation:

9x1/3 is 3. 6x1/3 is 2, etc.

What is 48 square feet in square meters

Answers

Answer: 4.45935

Step-by-step explanation: 1 Square foot (sqft) is equal to 0.09290304 square meter (sqm). For example, to convert 100 square feet to square meters, multiply 100 by 0.09290304, that makes 9.290304 sqm is 100 sqft. Hope this helps.

help please!!!!! (QUESTION #3)!!!!!!!

Answers

I’m not sure I’m just guessing but maybe 7x minus 35

Need help will mark Brainliest

Answers

Answer:

40

Step-by-step explanation:

You know that angle m<SRT is 40, because it's a supplementary angle with 140. 180 - 140 = 40.

Next, you also know that the interior angles of a triangle add up to 180, so you would now make an equation adding all three angles and setting them equal to 180.

40 + 3x + 4 + 8x + 4 = 180

You would now add like terms.

11x + 48 = 180

You would now subtract 48 from both sides.

11x = 132

You would now divide both sides by 11.

x = 12

You would now plug x into m<RST, 3x + 4.

3(12) + 4 = m<RST

36 + 4 = m<RST

40 = m<RST

The density D of an object is the quotient of its mass m and its volume v

Answers

To find Density you have to divided mass (grams)/volume (mL)

Alice is saving her chore money in a bank account. She makes a deposit of $13 in the first month.
Then every month, she deposits $25. Alice forms a sequence of her account balance, An where n
refers to the number of months. Which of the statements are correct about this sequence?
Select all that apply.

Answers

Answer:

Option (3) and Option (5)

Step-by-step explanation:

Alice invested $13 in the first month.

Then she deposits $25 every month.

Therefore, sequence formed by the deposit will be an arithmetic sequence.

First term of the sequence will be,

[tex]A_1=13[/tex]

Since, recursive formula formula of a sequence is given by the formula,

[tex]A_n=A_{(n-1)}+d[/tex]

Where 'd' = common difference in each term of the sequence

Recursive formula for the sequence will be,

[tex]A_n=A{(n-1)}+25[/tex]

Since, explicit formula for the arithmetic sequence is represented by the formula,

[tex]A_n=A_1+(n-1)d[/tex]

where n = number of term

d = common difference

Therefore, nth term of the sequence formed will be represented by the explicit formula,

[tex]A_n=13+(n-1)25[/tex]

[tex]A_{10}=13+(10-1)25[/tex]

      = 13 + 225

      = 238

[tex]A_{8}=13+(8-1)25[/tex]

     = 188

[tex]A_{12}=13+(12-1)25[/tex]

      = 288

Therefore, Option (3) and Option (5) will be the answer.

This table shows a linear relationship. x 5 6 7 8 9 y 33 39 45 51 57 Based on the information in this table, which equation can be used to model the relationship between x and y? A y = 3x + 6 B y = 6x + 3 C y = 3x D y = 6x

Answers

Answer:

B. y = 6x + 3

Step-by-step explanation:

Given

x = {5, 6, 7, 8, 9} andy = {33, 39, 45, 51, 57}

The equation in slope- intercept form:

y = mx + b

Using two pairs of coordinates (5, 33), (6, 39), we will find the slope:

m = (39 - 33)/(6 - 5) = 6/1 = 6

Using one point (5, 33) to find the y-intercept:

33 = 6*5 + b ⇒ b = 33 - 30 ⇒ b = 3

The equation is:

y = 6x + 3

Correct option is B

The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to
pay for the sweater during the sale if the customer paid with
the store's credit card? Round your answer to the nearest
cent.
Enter the answer

Answers

24 x 0.75 = 18
18 x 0.85 = 15.3
Answer: Someone with the store's credit card would need to pay $15.30

Ms. Chibbaro packs 6 almonds for every 3 craisins (cranberry raisins) in her snack pack. She has 12 more almonds than craisins.

Answers

If this is asking how many craisins. She has 12. Craisins and 24 almonds.

Simplify each term. please help!! 30 points + brainliest :)
1. -(-3y)³
2. (2c)⁵
3. (-2m)⁴
4. (4g)³
5. (7j)²
6. (-5z)⁵

Answers

Answer:

1.  27y^3

2. 32c^5

3. 16m^4

4. 64g^3

5. 49j^2

6. -3125z^5

Step-by-step explanation:

Can you help answer my question too, please?

In the table, please select the product (s), by name, that has the higher percentage of being ordered.

Answers

Answer: 1. peaches2. cherries3. oranges4. kiwi's5. bannanas6. apples7. mango'sStep-by-step explanation:

When rounded to the nearest thousands an elephant weight is 5,000 pounds. What is the least amount the elephant could weigh? I need step by step instructions please.

Answers

Answer:

Step-by-step explanation:

It depends on what you have been told about rounding when a 5 is involved.

If you can round if the answer is 4500, then that would be your answer. If you have some complicated method of dealing with the 5 (involving odd or even numbers) the elephant's minimum weight will be different.

I would go with 4500.

4500


Step-by-step. Equation

Which is a valid proportion?

Answers

Answer:

A true proportion is an equation that states that two ratios are equal. If you know one ratio in a proportion, you can use that information to find values in the other equivalent ratio.

randma has 3 pounds of flour. She uses 1 pounds of flour to make rolls for
hanksgiving dinner. How much flour does Grandma have left over?

Answers

To start, she has 3 pounds of flour
She uses 1, subtracts 1 pound
Now she has 2 pounds of flour

Answer:

2 pounds

Step-by-step explanation:

i feel like it's a trick question :/

Quinzels earn 1254 each month his total deductions is 20%

Answers

Answer:

I believe its $250.80

Step-by-step explanation:

Because 20% of 1254 is 250.8

Answer: Well what you said is not really a question more a statement. But anyway, 1254*.80=1003.20$. So that would be what’s left, the 20% deduction is 250.80$.

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?

Answers

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

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

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

A 3 m - 3 B 3 m + -5 C m + 1 D 3 m + 13

Answers

Answer:

It's A

Step-by-step explanation:

the answer is A . answer is a lol

If the variables cancel on each side, and the given equation is TRUE, for example 3=3, then the equation has NO SOLUTION. TRUE OR FALSE

Answers

Answer: False

Reasoning: An equation that is true has an infinite amount of solutions.

What is an equation of the line that passes through the points (0, -2) and (-5, 4)?
Put your answer in fully reduced form.

Answers

Answer:

I have no idea

Step-by-step explanation:

Answer: y= -6/5x-2

Step-by-step explanation:

That’s wut it said

Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi

Answers

Answer: B) x=-pi/2 , x=pi/2

Step-by-step explanation:

Just did it!

Answer:

B

Step-by-step explanation:

Edge 2020

3x>9
Which of the following sentences is the word equivalent of the expression above?
The product between 3 and a number is no less than 9
The product between 3 and a number is greater than 9
The product between 3 and a number is no more than 9
The product between 3 and a number is less than 9.​

Answers

Answers to the entire test:

Step-by-step explanation:

1. C. a<b

2.A. x >_0

3. A. The product between 3 and a number is greater than 9

4. B. The difference of 16 and the product of 5 and a number is no less than 1

5.B. 6(x-4)<_20

helppppp please I will give brainliest​

Answers

Answer:

y=1/3x-2

Step-by-step explanation:

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