Mathematics Middle School

The underlying rock ledge of Canada's horseshoe falls is cut back about 2 feet each year by erosion. Calculate how much the rock ledge will erode over a 7 year period of time

Answers

Answer 1
Hi There!

So the rock edge is cut back 2 feet each year by erosion and we have to figure out how much it will be cut back by 7 years using this knowledge so.

2 feet each year

2 + 2 + 2 + 2 + 2 + 2 + 2

or

7 x 2

=

14 so:

The Rock Ledge will have eroded 14 feet at the end of 7 years
Answer 2
Over a period of 7 years the rock ledge will erode 14 feet depending on the increase of erosion. 
Hope this helps!!!  :)  ;)

Related Questions

Rewrite the following expression in standard form by finding common denominator and collecting like terms

Answers

We have the expression [tex] \frac{2h}{3} - \frac{h}{9} + \frac{h-4}{6} [/tex]; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.

The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3: [tex]6=(2)(3)[/tex].
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3: [tex]9=(3)(3)=3^{2} [/tex].
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is [tex]3^{2} [/tex]. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
[tex]common.denominator=(3^{2} )(2)=(9)(2)=18[/tex] 

Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
[tex] \frac{2h}{3} - \frac{h}{9}+ \frac{h-4}{6} = \frac{(6)(2h)-(2)(h)+3(h-4)}{18} [/tex]
[tex] \frac{12h-2h+3h-12}{18} [/tex]
[tex] \frac{13h-12}{18} [/tex]

Answer: [tex] \frac{13h-12}{18} [/tex]

X is 85% of 13, 60% of 4.5 is Y

Answers

x=85/100 * 13
x=11.05

y=60/100 * 4.5
y=2.7

which expression does not give the area of the shaded figure?

Answers

A is the correct answer. comment if you want explanation

Which is one way to check 102 ÷ 6 = 17?

A. 105 ÷ 5 = 21
B. 105 ÷ 10 = 10.5
C. 100 ÷ 5 = 20
D. 102 ÷ 10 = 10.2

I have no idea why the answer choices have different numbers from the question. Please explain your answer to me to understand. I don't want just an answer

Answers

your answer is c 100 ÷ 5 = 20

Solution:

102 ÷ 6 = 17

As you can see , 102 has unit digit of 2 ,it means it is divisible by 2

Sum of digits of (102) = 1 + 2 =3, it means it is divisible by 3 also.

So , if a number is divisible by 2 and 3 it means it is divisible by 6 also.

Option (A) and Option (C) are true options which are

105 ÷ 5 = 21, and 100÷5 =20

The reason being if you will look at the unit digit of 105 and 100 , it is 5 and 0. So if a number have unit digit either 5 or 0 it is divisible by 5.  

what is the probability of spinning a 2 and flipping tails

Answers

if you mean getting a 2 on a dice then the answer would be
4/6 or 2/3

a) A square has an area of 121 cm^2. What is the length of each side?

b) A square has a perimeter of 28m . What is the length of each side?

Answers

A square has equal sides. To find the area, you multiply the length and the height.
x*x=121
x^2=121
x=11
The length of each side is 11

A square has equal sides. To find the perimeter, you add all the sides together.
x+x+x+x=28
4x=28
x=7
The length of each side is 7

In Mr.Martinez's sixth period class, there are 8 boys and 12 girls. what is the probability of randomly selecting a girl?

Answers

the probability of choosing a girl is 12/20
Girls=12
Boys=8
Total students=8+12=20

Probability of girls=number of girls/total number of students=12/20=6/10=60%


Answer=60%

a tyrannosaurus rex weighed about 1.4 tons more than one tenth the weight of a Patagotitan mayorum. About how much did the tyrannosaurus rex weigh?

A Patagonian mayorum was a tyrannosaur that weighed about 76 tons

Answers

This is a very easy question here.

You have two dinosaurs. Let's just label them as Dinasour A (the Tyrannosaurus Rex), and Dinosaur B (the Patagonian Mayorum)

Dinasoar A weighs in at 1.4 tons more than a TENTH of Dinasoar B's weight
We know that Dinosaur B weighs in at 76 tons.

A tenth means exactly what it sounds like, 10/100. If it helps, you can think of it in terms of money, where a single Dime is a TENTH of a Dollar, because it takes 10 total Dimes to make $1

So, to fine a tenth of anything, you have to divide it by 10! 
76/10=7.6

7.6 is the tenth of the weight of Dino B. However, the question states that dino A weighs in at 1.4 tons MORE than a tenth, meaning addition.

So, 7.6+1.4=9

Dinosaur A, AKA the Tyrannosaurus Rex, weighs in at 9 Tons.

~Hope this helps!
Final answer:

The Tyrannosaurus rex weighed approximately 9 tons.

Explanation:

To determine the weight of the Tyrannosaurus rex, we need to find one tenth the weight of Patagotitan mayorum, which is 76 tons. One tenth of 76 tons is 7.6 tons. We then add 1.4 tons to this, as the Tyrannosaurus rex weighs about 1.4 tons more than one tenth the weight of Patagotitan mayorum. Therefore, the weight of the Tyrannosaurus rex is approximately 9 tons.

what is the value 1/2 ×3+5.2y when x=2 and y=3

Answers

The answer is 18.6, because when multiplying all the variables with the coefficients the equation is 1/2*6+15.6, 6 turns into 3 because it is halved and the rest of the equation stays the same so the new equation now is 3+15.6 and you simply add them and it is 18.6.
18.6 because one half times 2 Is just 1. 1 times 3 is 3. 5.2 times 3 equals 15.6. Then add 15.6 and 3 which gives you 18.6

The drama club members buy 864 bags of popcorn to serve during the intermission of their play. Popcorn comes in cases of 24 bags, and they pay $18 for each case. How much did they pay for all of the popcorn

Answers

The answer is $648
Hope this helps

Final answer:

The drama club purchased 36 cases of popcorn at $18 per case, resulting in a total cost of $648 for all the popcorn.

Explanation:

The question involves calculating the total amount spent on popcorn by the drama club, which requires some basic arithmetic and understanding of multiplication and division. To find the total cost, we first need to determine how many cases of popcorn the club bought and then multiply that number by the cost per case.

Step-by-Step Calculation

Determine the number of cases: Divide the total number of bags of popcorn (864) by the number of bags per case (24).

Calculate the total cost: Multiply the number of cases by the cost per case ($18).

Now, let's perform these steps:

Number of cases = 864 bags ÷ 24 bags/case = 36 cases

Total cost = 36 cases × $18/case = $648

Therefore, the drama club paid $648 for all the popcorn.

need help with question 20

Answers

I would start by dividing by all the multipliers of the parentheses.
[tex] \frac{PV}{nt} = r_{1} +r_{2}[/tex]
Then, I would subtract the unwanted variable from the sum.
[tex] \frac{PV}{nt} -r_{2} = r_{1}[/tex]

What is the surface area in square feet of a rectangular prism with dimensions of 2 feet by 3 feet by 4 feet as shown in the net?

Answers

Answer: 52 square feet

Step-by-step explanation:

The surface area of a rectangular prism is given by :-

[tex]S.A.=2(lw+wh+hl)[/tex], where l is length , w is width and h is height of then prism.

Given: Dimensions of the rectangular prism :   [tex]l\times w\times h=[/tex] 2 feet by 3 feet by 4 feet

Then , the surface area of a rectangular prism will be:-

[tex]S.A.=2(2(3)+(3)(4)+(2)(4))\\\\\Rightarrow\ S.A.=52\text{ inches}^2[/tex]

Hence, the surface area  of a rectangular prism= 52 square feet

A grasshopper coved a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop.

Answers

He covered 5 yards in 9 hops.
So you would do 5 divided by 9, which is 0.555555555555556, rounded, it would be about 0.6 yards. Hope this helps.
Hello!

To calculate how many yards the grasshopper traveled on each hop, we must divide the number of yards (5) by the number of hops (9):

5 ÷ 9 = 0.5556 (Repeating decimal)

Answer:

The grasshopper traveled about 0.6 yards on each hop.

Don wrote the expression 8 less than the product of m and 10. What algebraic expression did he write? What is the value of the expression for m = 7?

Answers

THE EXPRESSION IS
10m-8
if m=7
70-8=62
10m-8
if m=7
70-8=62
hope this helps

Rose bought some spinach. She used 3/5 of the spinach on a pan of spinach pie for a party and 3/4 of the remaining spinach for a pan for her family. She used the rest of the spinach to make a salad.
What fraction of the spinach did she use ti make the salad?

b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?

Answers

Quantity of spinach that Rose bought: x

Quantity used on the pan of spinach pie for the party: (3/5)x

Remaining spinach: x-(3/5)x=(1-3/5)x=(5/5-3/5)x=[(5-3)/5]x=(2/5)x

Quantity used on a pan for her family: (3/4)(2/5)x=[(3*2)/(4*5)]=(6/20)x
Quantity used on a pan for her family:(3/10)x

Quantity use to make the salad: x-(3/5)x-(3/10)x=(1-3/5-3/10)x
Quantity use to make the salad: [(10*1-2*3-1*3)/10]x=[(10-6-3)/10]x
Quantity use to make the salad: (1/10)x

a. What fraction of the spinach did she use to make the salad?
She used 1/10 of the spinach to make the salad.

b. If Rose used 3 pounds of spinach to make the pan of spinach pie for the party , how many pounds of spinach did Rose use to make salad?

Quantity used on the pan of spinach pie for the party: (3/5)x= 3 pounds
Quantity used to make the salad: (1/10)x=?

We need to find x. Solving for x in the quantity used on the pan of spinach pie for the party:
(3/5)x=3 pounds
(5/3)(3/5)x=(5/3)(3 pounds)
x=15/3 pounds
x= 5 pounds

Quantity of spinach that Rose bought: x= 5 pounds

Now we can find the quantity used to make the salad:
(1/10)x=(1/10)(5 pounds)=(5/10) pounds=(1/2) pound = 0.5 pound

Answer: Quantity used to make the salad is 1/2=0.5 pound

Stacey worked 12 hours and Amy worked 6 hours. They made the same amount of money per hour. If they made a total of $90 how much did they make per hour

Answers

[tex]Stacey { \to 12hours} [/tex]

[tex]Amy { \to 6hours} [/tex]

[tex]12 x 5 = 30 6 x 5 = 30 60 + 30 = 90 [/tex]

They made $5 an hour.

Simon's water cooler can hold up to 4.2 gallons of water in it. Simons fills the cooler so that there is water in all but 25% of the cooler. How much more water would Simon need to add to fill the entire 100% of the cooler?
A 1.05 gallons
B 3.95 gallons
C 3.15 gallons
D 1.7 gallons

Answers

Based on the information given we know that 75% of the cooler is filled, because 25% is left. We only need to know what 25% of 4.2 is though, because the question is asking how much more he would need. 
25% of 4.2 is equal to .25*4.2 which equals 1.05. 
So in this scenario, the correct answer would be A.

For the end-of-year party, Mt.Rise Middle School ordered 112 pizzas. There were eight fewer veggie pizzas than there were pepperoni pizzas. There were three times as many combo pizzas as pepperoni pizzas. Use the 5-D process to define a variable and write an equation for this situation. Then determine how many of each kind of pizza were ordered.

Answers

Let the number of pepperoni pizzas be x
pepperoni = x
veggie = x - 8    [There were eight fewer veggie than pepperoni]
combo = 3x       [There were three times as many combo as pepperoni]

Given that the total Pizza: 112
x + x - 8 + 3x = 112
5x - 8 = 112
5x = 112 + 8
5x = 120
x = 24

x= 24
x - 8 = 16
3x = 72

So there were 24 pepperoni pizza, 16 veggie pizza and 72 combo pizza

Fred pays 2/5 of his annual salary in federal, state, and local taxes. His annual salary is 102,000. How much of his salary does he get to keep after taxes are paid? 1) $61,000 2) $72,300 3) $61,200 4) $94,900

Answers

I think it might be 3) $61,200.

A computer was on sale for 2/3 of the original price. If the original price was $900 what was the sale price? show work please.

Answers

Divide $900 by 2/3 .
The computer now costs : $600.

So first you divide 900 by 3, which gives you 300,right? 300 is only one third of the 900, so you need to get to two thirds, which is why you would add another 300, which brings you to $600.

Is the domain {1.8,3.4,9,9.8}

{3.2,3.9,5.8,8.4,9.1}

{2.4,4.8,6.3,8.8,10.1}

{3,4.6,6.7,8.9,10.8}

Answers

You need to find the values of x that correspond to the given values of f(x). That is, you need to solve for x:
.. y = 7x -2.7
.. y +2.7 = 7x
.. x = (y +2.7)/7

You are given y values of {14.1, 30.9, 41.4, 58.9, 68}. The corresponding x values are {2.4, 4.8, 6.3, 8.8, 10.1}, corresponding to selection C.

_____
Since the first number in each choice is different, you only need to evaluate f(x) for those numbers to see which gives the correct result. Only the 3rd one (2.4) give f(2.4) = 14.1, the correct answer.

1/2m-4=5
What is the variable 'M' equal to.

Answers

Hey there! :D

1/2m-4=5

Add 4 on both sides. 

1/2m=9

Divide both sides by 1/2. 

m=18

I hope this helps!
~kaikers
so the given equation is [tex] \frac{1}{2} [/tex]m - 4 = 5

We should add 4 on either side as our first step, in order to find the value of the variable

[tex] \frac{1}{2} [/tex]m - 4 ( + 4 ) = 5 ( + 4 )
- 4 and + 4 cancels out in the left hand side

We are left with
[tex] \frac{1}{2} [/tex]m = 9

To find the value of m, we should divide each side by [tex] \frac{1}{2} [/tex]
(diving by a fraction can also be done by multiplying the reciprocal)
[tex] \frac{1}{2} [/tex]m = 9 ÷ [tex] \frac{1}{2} [/tex]
[tex] \frac{1}{2} and \frac{1}{2} [/tex]  cancels out

m = 18

Shauna bought a flat cardboard box

Answers

and? what about it?????

The length of a rectangle is 6 cm longer than the width. If the length is increased by 9 cm and the width by 5 cm, the perimeter will be 160 cm. Find the dimensions of the ORIGINAL rectangle.

Answers

We're going to make the equation in terms of w, since the length is 6 cm longer. We are going to have the equation equal 160 cm, since that is the perimeter.
2(w+5) + 2(w+ 6 + 9) = 160
We can add in the parenthesis.
2(w+5) + 2(w+15)
Distribute.
2w+10+2w+30=160
Add like terms.
4w+ 40 = 160
4w=120
w=30
The width is 30 cm and the length is 36 cm.
Let's check by making the rectangle again.
2(45) + 2(35)=160
90+ 70 = 160

rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls. Because Rob is a full time student he can work no more than 12 hours per week. however he must make $60 per week. write a system of inequalitites

Answers

Let x be the number of hours exercising horses.
Let y be the number of hours cleaning stalls.

x + y <= 12
5x + 10y >= 60
x + 2y >= 12

At this point you might do well to graph this set of equations on Wolframalpha.com

In the meantime solve this system this way.

12 - x > y > 6 - x/2
When y =0 the x = 12.

Answer:  5x + 10y ≥ 60 ⇒ x+2y ≥ 12          .................. (i)  

                x + y ≤ 12                                     ................. (ii)  

Step-by-step explanation:

    Let the hours spent on exercising horse be x

    Let the hours spent on cleaning stalls be y

According to question:

Rob can't work more than 12 hours. So eq. (i) will be x + y ≤ 12

Rob earns $5 an hour by exercising horses and $10 an hour cleaning stalls and he must make $60 . So eq. (ii) will be 5x + 10y ≥ 60.

Dividing eq. (ii) by 5, it will become x + 2y ≥ 12.

∴ system of inequalities are x + y ≤ 12 and x + 2y ≥ 12.

name the quadrilateral with exactly one pair of parallel sides?
A. Kite
B. Parallelogram
C. Rhombus
D. Trapezoid

Answers


B. parallelogram


hope this helps<3
The correct answer to your question is B. Parallelogram.

Reasoning:
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

I hope this helps!
Please Rate & Thank!
Please mark as Brainliest!

Have a wonderful day! : )

Javier bought 47 sports cards. 3/8 of them were baseball cards. How many baseball were baseball cards?

Answers

The number of cards is 3/8 of 48.
In math, "of" usually means "times."

3/8 of 48 = 3/8 * 48 = 3/8 * 48/1 = (3 * 48)/(8 * 1) = 144/8 = 18

Answer: 18 cards

Which number is written in scientific notation? 7.8 x 10−5 0.84 x 106 3.4 x 1002 −5 x 10−12

Answers

Hello there, 

First off what is scientific notation?

Scientific Notation is the way that scientist handle very large or very small numbers..
for example, instead of writing 0.0000000056 we write 5.6x10 (exponent -9)

So, now we got that out the way lets look up here at the choices....


I would say that 7.8x10 (exponent -5) would be the answer! :)

I hoped this helped!!!! :)))

God bless you.



7.8x10-5 is the answer

What is the volume of this pyramid?



7560 cm³
5040 cm³
2520 cm³
1728 cm³

Answers

volume of triangular pyramid = 1/3 x area of base x height

1/3 x (1/2 x 18 x 24) x 35
=2520cm3

the answer is C

Answer:

C) 2520 cm^3

Step-by-step explanation:

The given pyramid is a triangle base pyramid.

Volume of a pyramid = 1/3(base area* height)

Here the base is a right triangle with base 24 cm and height 18.

The height of the pyramid is 35 cm.

Plug in the given values in the formula, we get

V = 1/3 (1/2*24*18)*35

= 1/3(216)(35)

= 72*35

V= 2520 cm^3

The volume of the given pyramid is C) 2520 cm^3

Hope this will helpful.

Thank you.

A picture is 5 inches wide and 8 inches tall:

A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? (5 points)


40 in2

250 in2

100 in2

81.9 in2

Answers

Final answer:

The area of the enlarged picture will be 250 square inches, calculated by multiplying the new width and height which are scaled up by the factor of 2.5 from the original dimensions.

Explanation:

To find the area of the enlarged picture, we begin by scaling up the dimensions of the original picture using the given scale factor. The original width is 5 inches, and the original height is 8 inches. Applying a scale factor of 2.5 to both dimensions, we calculate the new dimensions as follows:

New width = 5 inches × 2.5 = 12.5 inchesNew height = 8 inches × 2.5 = 20 inches

Now, to find the area of the enlarged picture, we multiply the width by the height:

New area = New width × New height = 12.5 inches × 20 inches = 250 square inches

Therefore, the area of the picture after it is enlarged will be 250 square inches.

Other Questions
Attempting to both study and watch television is an example of divided attention. true or false top- down processing can be best described as: A certain weak acid, HA, has a Ka value of 1.8107.Part ACalculate the percent dissociation of HA in a 0.10 M solution. In his first inaugural address, Roosevelt said, "the only thing we have to fear is fear itself." What did he mean? Today's newspaper contains a 20%-off coupon at Old Army. The $100 jacket that you want was already reduced by 40%. What as the final price that you paid for the jacket Most of the lymph returns to the venous circulation by way of the ______. Which is the purpose of transfer RNA?A.) to code for protein synthesisB.) to carry the synthesized genetic information from the nucleus to the ribosomesC.) to synthesize proteins from RNAD.) to bring amino acids to the ribosomes to be assembled into proteins.First, & best answer gets 5 stars. What is an example of a political terrorist group? A function has the rule y = -2x + 11. Which of the following ordered pairs represents an input of 4 and its output?(4, 3.5)(4, 3)(3, 4)(3.5, 4) Leo bought a used car for x dollars. one year later the value of the car was 0.88x. which expression is another way to describe the change in the value of the car?A)0.12% decrease B)0.88% decreaseC)12% decreaseD)88% decrease Which of the following is a variable expense for many adults?A. Their monthly payment for health insurance.B. Their monthly cost of eating out at restaurants.C. Their monthly rent payment.D. The monthly payment on the car loan. May anyone HELP ME please The line plot shows the weight gain, in pounds, of several dogs seen on Monday by a veterinarian at the animal clinic. A number line with one x above .5, one x above 1.5, one x above 2, one x above 3, two xs above 3.5, two xs above 4, one x above 4.5, and one x above 8.5. How many dogs gained fewer than 3 lb? Enter your answer in the box. Future googling man, am I ever gonna get married? If you know the unit prices of two different brands of an item you are better able to?A. Compare the prices of the two brands.B. Estimate how much of the item you will need.C. Determine which of the two brands is higher quality.D. Figure out the discount during a sale on the two item. Write a problem that can be solved by comparing feet and inches using a model.Include a solution.Explain why you are changing from a larger unit to a smaller unit . ASAP Cross-sectional views of an artery and of a vein are shown here. identify each on the lines 128,96,72,54,...find the common ratio When young melvin's mother hands him to a friend of hers, he looks up, smiles, and offers no real objection to being held by a stranger. melvin's mother often brags that, "he is such a good, easy baby." according to your textbook, melvin's mother is making an observation about his ________? Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x 1 , y = 0, x = 9; about the x-axis v = incorrect: your answer is incorrect.4