MATHEMATICS HIGH SCHOOL

There are 2/8 cup of peanuts and 1/4 of Walnuts.Is there a greater amount of peanuts or walnuts? Explain

Answers

Answer 1

Answer:

You will get 2/8 for your answer but if u simplify it will be 1/4

Answer 2

Answer:

Answer: If you simplify 2/8 you get 1/4. Meaning there is the same amount of walnuts and peanuts

Related Questions

PLS HELP Write an absolute value equation for the graph shown to the right
Shawn and Dorian rented bikes from two different rental shops. The prices in dollars, y, of renting bikes from the two different shops for x hours is shown. Shop Shawn used: y = 10 + 3.5x Shop Dorian used: y = 6x If Shawn and Dorian each rented bikes for the same number of hours and each paid the same price, how much did each pay for the rental?
7. What is an expression equivalent to 5(3x+2) using the distributive property?
How many significant figures does 0.0560
LIVING ROOM Maude's living room is in the shape of a rectangle. Its dimensions are 21 feet by 14 feet. Find the length of the diagonal of the living room. Round your answer to the nearest tenth if necessary.

A textile company bought a piece of weaving equipment for $60,000. It is expected to depreciate at an average rate of 10% per year. a. Write an equation for the value of the piece of equipment Z after

Answers

Answer:

z = 60000(0.9)^t

Step-by-step explanation:

What's good?The equation for the price of the item over time can be written as:

z = 60000(0.9)^t

Here's what each part of the equation means:

- "z" represents the price of the item.

- The initial cost of the item is $60,000, so we start with 60000.

- The item falls at a rate of 10% per year, so we multiply the initial cost by 0.9 each year.

- "t" represents the number of years.

For example, if you want to find the price after 3 years, you would substitute t = 3 into the equation and solve for z:

z = 60000(0.9)^3

z = 60000(0.729)

z ≈ 43,740

So after 3 years, the price of the item would be approximately $43,740. Remember 3 years is just an example. Don't forget to make me the brainliest!!!

Final answer:

The equation for the value of the weaving equipment after 'n' years can be written as Z = 60000(1 - 0.10)ⁿ. For example, if you want to find the value of the equipment after 5 years, substitute n = 5 into the equation and solve for Z, which would be approximately $36,486.

Explanation:

The equation for the value of the weaving equipment after n years can be written as Z = 60000(1 - 0.10)n, where Z represents the value of the equipment and n represents the number of years.

For example, if you want to find the value of the equipment after 5 years, you would substituten = 5 into the equation: Z = 60000(1 - 0.10)5 and solve for Z.

After substituting and calculating, you would find that the value of the equipment after 5 years is approximately $36,486.

Learn more about Depreciation here:

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The height y of a ball (in feet) is given by the function and x is the horizontal distance traveled by the ball.a)How high is the ball when it leaves the child’s hand?
"b) How high is the ball at its maximum heigh
c) Explain in words the method you used in part b.
d) What is the horizontal distance traveled by the ball when it hits the ground?
e) Explain in words what you did to find your answer for part d.

Answers

Given: The height y of a ball (in feet) is given by the function y=-1/12x^2+2x+4 and x is the horizontal distance traveled by the ball.

Part A: How high is the ball when it leaves the child's hand?

Right after the ball leaves the child's hand, it has travelled 0 feet horizontally. Horizontal distance is represented by x, so we could say that x = 0.
Plug in 0 for our equation and solve for y, the height.

$y=-(1)/(12)x^2+2x+4\n\ny=(1)/(12)\cdot0^2+2\cdot0+4\n\ny=0+0+4\n\n\boxed{y=4}$

Part B & C: How high is the ball at its maximum height?

What we basically want to do is find the vertex of the function.
There are multiple ways to do this. You could graph it or make a table, but this method is not efficient.
The method I am going to go over right now is putting the equation in vertex form.

$y=-(1)/(12)x^2+2x+4$

Move the constant to the left side.

$y-4=-(1)/(12)x^2+2x$

Factor out the x² coefficient.

$y-4=-(1)/(12)(x^2-24x)$

Find out which number to add to create a perfect square trinomial.
(Half of 24 is 12, 12 squared is 144. We have to add 144/-12 (which is -12) to each side so that we end up with 144 inside the parentheses on the right side)

$y-4-12=-(1)/(12)(x^2-24x+144)$

Factor the perfect square trinomial and simplify the right side.

$y-16=-(1)/(12)(x-12)^2$

Isolate y on the left side.

$y=-(1)/(12)(x+12)^2+16$

And now we are in vertex form.
Vertex form is defined as y = a(x-h)² + k with vertex (h, k).
In this case, our vertex is (12, 16).

You could've also taken the shortcut that for any quadratic f(x) = ax² + bx + c, the vertex (h, k) is (-b/2a, f(h)). That's basically a summation of this method which you can use if your teacher has taught it to you.

Part D & E: What is the horizontal distance travelled by the ball when it hits the ground?
When the ball hits the ground, y is going to be 0, since y is the ball's height.
There are many ways to solve a quadratic...split the middle, complete the square, and the quadratic formula.

$-(1)/(12)x^2+2x+4=0$

Solving by splitting the midlde
If your quadratic has fractions, this is not a good option.

Solving by completing the square
Move the constant over the right side.

$y=-(1)/(12)x^2+2x=-4$

Divide by the x² coefficient.
(Dividing by -1/12 is the same as multiplying by its reciprocal, -12.)

$x^2-24x=-4*-12$

Simplify the right side.

$x^2-24x=48$

Halve the x coefficient, square it, and then add it to each side.
(Half of -24 is -12, and -12 squared is 144.)

$x^2-24x+144=192$

Factor the perfect square trinomial.

$(x-12)^2=192$

Take the square root of each side.

$x-12=\pm√(192)$

192 = 8 × 8 × 3, so we can simplify √192 to 8√3.
Add 12 to each side and we get our answer.

$x=12\pm8√(3)$

Our function does not apply when x or y is less than 0, of course.
12-8√3 is negative, so this cannot be our answer.
So, the ball had travelled 12+8√3 feet at the time when it hit the ground.

Solving with the quadratic formula
For any equation ax² + bx + c = 0, the solution for x is $(-b\pm√(b^2-4ac))/(2a)$ .

Our equation, y=-1/12x^2+2x+4, has a = -1/12, b=2, and c=4.
Let's plug these values into the quadratic formula.

$\frac{-2\pm\sqrt{2^2-4\cdot(-1)/(12)\cdot4}}{2\cdot(-1)/(12)}=\frac{-2\pm\sqrt{4-\frac{-4}3}}{\frac{-1}6}=\frac{-2\pm\sqrt{(16)/(3)}}{\frac{-1}6}=\frac{-2\pm(4)/(√(3))}{\frac{-1}6}$

Dividing by a fraction is the same as multiplying by its reciprocal...

$-6(-2\pm(4)/(√(3)))=12\pm(-24)/(√(3))=12\pm(24)/(√(3))=12\pm\frac{24√(3)}3=\boxed{12\pm8√(3)}$

Of course, we only want the positive value, 12+8√3.

Revisiting Part B & C:
Since parabolae are symmetrical, if you know two values of x for some value of y (like the x-intercepts we just found in part B) then you can find the average between them to find what the x value of the vertex is, then plug that in to find the y value of the vertex (the height we want)

The average between 12+8√3 and 12-8√3 is 12. Plug that in and we get 16!

The shipping department must send out 50 cases of phones. Five stores will receive ten cases each. How many cases are left?

Answers

Since 5x10 cases each = 50 cases there are no cases left.

There are none left. 5 x 10 = 50

Justin ate 3/5 of a box of raisins.His sister then ate of the 1/4 of the raisins
left in the box. What fraction of the
box of raisins did Justin's sister eat?

Answers

Answer:

3/20

Step-by-step explanation:

PLZ HELP WORTH A LOT OF POINTS AND I HAVE 10 MINUTES!!!!A certain forest covers an area of 1700 km^2. Suppose that each year this area decreases by 3.5%. What will the area be after 9 years? Use the calculator provided and round your answer to the nearest square kilometer.

Answers

Answer:

The area after 9 years will be 1,234 km^2

Step-by-step explanation:

In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.

To answer this question, we shall be using an exponential approximation.

Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.

This can be written as;

A = I(1-r)^t

where A is the new area we are looking for

I is the initial area which is 1700 according to the question

r is the rate of decrease which is 3.5% = 3.5/100 = 0.035

t is time which is 9 years according to the question

We plug these values and have the following;

A = 1700(1-0.035)^9

A = 1700(0.965)^9

A = 1,233.66

This is 1,234 km^2 to the nearest square kilometer

What is 809 times 17 using standard algorithm? show your work

Answers

LONG MULTIPLICATION METHOD:

Multiply 7 by 9 to get 63. Place the ones digit (3) in the result line and carry the tens digit (6). There is one result line for each digit in the 17.

Multiply 7 by 0 and add the carried 6 to get 6. Place the result in the next column in the result line. There is one result linefor each digit in 17. There is one result line for each digit in the 17.

Multiply 7 by 8 to get 56. Place the result in the next column in the result line. There is one result line for each digit in 17.There is one result line for each digit in the 17.

Multiply 1 by 9 to get 9. Place the result in the next column in the result line. There is one result line for each digit in 17.There is one result line for each digit in the 17.

Multiply 1 by 0 to get 0. Place the result in the next column in the result line. There is one result line for each digit in 17.There is one result line for each digit in the 17.

Multiply 1 by 8 to get 8. Place the result in the next column in the result line. There is one result line for each digit in 17.There is one result line for each digit in the 17.

Add the numbers in each column. In this case, add 3+0 to
get 3, then place the 3 in the result line.

Add the numbers in each column. In this case, add 6+9 to get 15, then place the 5 in the result line and carry the 1.

Add the numbers in each column. In this case, add 6+0+1 to get 7, then place the 7 in the result line.

Add the numbers in each column. In this case, add 5+8 to get 13.

The result of 809⋅17 is 13753.

my answer is : 800 x 10 = 8,000 , 9 x 10 = 90 & finally , 800 x 7 = 5600 ,9 x 7 = 63 . So , to conclude ; 13,600 + 153 = 13,753

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