You make skateboard ramps by cutting pieces from a board that is 12 1/2 feet long.
a. your friend estimates you can cut 6 ramps from the board. is her estimate reasonable? explain. how many ramps can you cut from the board? how much wood is left over?

Answers

Answer 1
The length of the ramp is unknown. 
If 6 ramps were cut from a board that is 12 1/2 feet long, the ramps would be about 2 feet long each which seems like a reasonable answer. The questions regarding how many boards are cut would need the length of the ramps. Lets say that the length is x. You can get 12 1/2 divided by x boards. In order to find out how much is left over, take the number of boards made, multiply it by how long they are. This product is then subracted from 12 1/2. 
Answer 2
Final answer:

The estimate of cutting 6 ramps from a 12 1/2 feet long board is reasonable. Each ramp will have a length of 2 1/12 feet, and no wood will be left over.

Explanation:

To determine if the estimate of cutting 6 ramps from a 12 1/2 feet long board is reasonable, we can calculate the length of each ramp by dividing the total length of the board by the number of ramps.

12 1/2 feet is equivalent to 12 + 1/2 feet. To divide by a fraction, we can multiply by the reciprocal. So, when we divide 12 1/2 by 6, we get (12 + 1/2) / 6 = 12/6 + 1/2 / 6 = 2 feet + 1/12 feet = 2 1/12 feet.

Therefore, each ramp will have a length of 2 1/12 feet. Since 6 ramps multiplied by 2 1/12 feet is 12 1/2 feet, the estimate is reasonable. No wood will be left over.


Related Questions

will mark brainliest Jim Shu has the following work shown on their paper. The directions read “Simplify each radical.” Unfortunately, they have not simplified correctly.
A. Find their mistake and explain what they did wrong.
B. Show the correct solution.

Answers

[tex] \sqrt{80}= \sqrt{8*10}= \sqrt{x4*2*5*2}= \sqrt{16*5}=4 \sqrt{5} [/tex] hope this makes since:)
Final answer:

When simplifying radicals, it's essential to break down the number under the radical into its prime factors, pair them off when possible, and bring paired numbers out from under the radical to fully simplify. Without the exact problem that Jim Shu attempted, we can't pinpoint his mistake, but we noted a common error in simplification. Using √18 as an example, the correct simplification would result in 3√2.

Explanation:

Without the specific problem that Jim Shu attempted to solve, it is impossible to pinpoint the exact mistake he made. However, a common mistake when simplifying radicals is not properly simplifying the radical into its smallest possible terms. For example, if Jim Shu was trying to simplify √18, but he left it as √9 * 2 instead of converting it into 3√2, then he did not correctly simplify the radical. It is important to break down the number under the radical into its prime factors then pair them off when possible to simplify the radical to its most simple form.

The correct solution for √18, as an example, would be to break down 18 into prime factors (2,3,3), pair them off into a 3 and pull it out from under the radical leaving you with the correctly simplified radical, 3√2.

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The sales tax rate in a city is 5.316%. how much sales taxes is changed on a camp stove that sells for $128.95?

Answers

The sales tax would be $6.85

Find 3 consecutive odd integers whose sum is 117

Answers

 37, 39 and 41. Hope this helps

So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!

Answers

Part A. Two angles are complementary if their sum is equal to 90°. Since the angle given is more than 90°, there is no possible complement for a 125.35-degree angle.

Part B. Two angles are supplementary if their sum is equal to 180°. So,
Supplementary angle = 180 - 125.35 = 54.65°

Part C. Complementary angle = 90 - 54.65 = 35.35°

If f(x) = x + 2, find the value of x if f(x) = 12.

Answers

Hello,

Let's plug in "12" for "f(x)" since they tell us:
12 = x +2.

Now, in order to get "x" by itself, we add 2 to each sides:
12 +2 = x, which then becomes x = 14.

Hope this helps!

May

The price of a car is £15400 before it is reduced by 8%.
How much does it cost after the reduction

Answers

hmm the reduction is 8%, how much is 8% of 15400 anyway?

if we take 15400 to be the 100%, what is 8%?

[tex]\bf \begin{array}{ccll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 15400&100\\ x&8 \end{array}\implies \cfrac{15400}{x}=\cfrac{100}{8}\implies \cfrac{15400\cdot 8}{100}=x[/tex]

so, the reduced price of the car is 15400 - x.

The cost of the car after an 8% reduction on the initial price of £15,400 is £14,168. This is found by calculating 8% of the original price and subtracting that amount from the initial price.

The initial price of the car is £15,400. To calculate the price after an 8% reduction, we first find the value of the discount and then subtract it from the original price. An 8% reduction on £15,400 is calculated as follows:

Calculate 8% of £15,400: (8/100) * £15,400 = £1232.Subtract the discount from the original price: £15,400 - £1232 = £14,168.

Therefore, as per the above explaination, the cost of the car after the reduction is £14,168.

State the domain and range for the function f(x) = 2x2 – 7. Show all steps, please.

Answers

2x^2 - 7 

we can plug any values of x into this The domain is All Real x.

The graph will be a parabola opening upwards with a minimum value  when x = 0  and  f(x) will be = -7

so the range is  f(x) <= -7    or  (-∞, -7]

Answer:

domain is (-∞,∞) and the range is [-7,∞)

Step-by-step explanation:

the guy who answered the question was wrong and i had to point it out

Please help? I need this like... NOW.

Answers

Y=-12 HOPE THIS HELPS 

see attached picture for solution

 answer is (2,5)

Who knows how to solve 9= -2+ 2x+ 1 ?




And also x-4= -9+ x

Answers

9 = -2 + 2x + 1
Add 2 by both sides.
11 = 2x + 1
Subtract 1 from both sides.
10 = 2x
Divide by 2 on both sides.
5 = x

x - 4 = -9 + x
Add 4 to both sides.
x = -5 + x
Subtract x from both sides.
0 = -5
There are no solutions.

Does anyone know this?

Answers

y = 8.6 * cos(44.25)=

6.1602

 Rounded to nearest hundredth = 6.16

Use the descriminant to describe the roots of each equation. Then select the best description. 16x^2+8x+1=0

Answers

Use the values of a, b, and c to find the discriminant:
0
I don't know if this is correct

if STU is similar to XYZ the sides of STU must be congruent to the corresponding sides of XYZ

   A;true
   B;false

Answers

congruent means similar so the answer would be true

Answer:

false {apex}

Step-by-step explanation:


The maximum number of significant digits in float values is up to 6 or 7.
a. True
b. False

Answers

The answer to this question is clearly A

Can someone help me with algebra? I REALLY NEED IT.

Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?

A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.

Answers

The answer is A i believe

The answer is B

I hope this helped :)

Write an expression that evaluates to true if and only if the value of the boolean variable workedovertime is true. submit

Answers

no[tex] \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \lim_{n \to \infty} a_n [/tex]∛∈

A relation is?
a.)the output (y) values of the relation

b.)the input (x) values of the relation

c.)a set of points that pair input values with output values

d.)x and y values written in the form (x, y)

Answers

C) a relation is when an x value is correlated with only one y-value. If this is not the case, the equation siezes to be a relation. 

Hope I helped :) 

Answer:

C.) a set of points that pair input values with output values

Step-by-step explanation:

When the relation between two variables are considered, this implies that there is a constant relationship between them. Thus, one value can be match into the other at a constant factor. This variables (input and output values) can now be seggregated as dependent or independent variables. Dependent variable requires the other variable (independent) for it to change, while the independent can vary on its own.

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle

Answers

we know that

In a [tex]30-60-90[/tex] triangle

the ratio between the lengths of the two legs is equal to the tangent

so

[tex]tan(30\°)= \frac{1}{\sqrt{3}}= \frac{\sqrt{3}}{3}[/tex]

[tex]tan(60\°)= \sqrt{3}[/tex]

therefore

the answer is

Option B

[tex]\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio

because is the value of the [tex]tan(30\°)[/tex]

Option C

[tex]\frac{\sqrt{3}}{3}[/tex] ------> could be the ratio

because is the value of the [tex]tan(30\°)[/tex]

Option E

[tex]\frac{3}{3\sqrt{3}}=\frac{1}{\sqrt{3}}[/tex] -------> could be the ratio

because is the value of the [tex]tan(30\°)[/tex]


I need an algebra equation where the answer is 50

Answers

f(5)=x*10=50
um..
5x+5x+(2x+4)+(2x+4)=50

I feel like this is wrong but help plz

Answers

The second answer is the correct answer.
you are correct
AB and AE are both on line BE

PRE CALCULUS
HELP PLEASEEEEEEEEE
describe the transformations that produce the graph of g(x)=1/2(x-4)^3+5 from the graph of the parent function f(x)=x^3 give the order in which they must be preformed to obtain the correct graph

Answers

Start with the parent function f(x) = x³

Notice the function f(x) = (x - 4)³ that a value '4' is subtracted from 'x' ⇒ This means the function f(x) is translated four units to the right.

Then the function f(x) = ¹/₂ (x - 4)³, the function (x - 4)³ is halved vertically ⇒ Half the y-coordinate

Then the function f(x) = ¹/₂ (x - 4)³ + 5 that a value '5' is added to ¹/₂ (x - 4)³ ⇒ This means the function f(x)  is translated five units up

So the order of transformation that is happening to f(x) = x³ is translation four units to the right, half the y-coordinate, then translate 5 units up.

Jennifer is the coach for a Little League Baseball team, the Pirates. In choosing new uniforms, she must decide which is the better buy. She can choose from these two offers: 15 t-shirts for $5.83 each or five packages of three t-shirts for $9.78 per package.

Determine the lowest price for 15 uniforms.

Answers

The second offer of five packages of three t-shirts
Determine the lowest price for 15 uniforms. 
$48.90

The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers. What is the domain of h(x) = f(x)/g(x)?

Answers

This is a quotient (division) of two functions we must be concerned with the fact that division by zero is undefined.

Since g(x) is in the divisor position, it cannot equal 0.
[tex]x+6 \neq 0[/tex]
[tex]x \neq -6[/tex] Subtract 6 from both sides to solve.
So the domain is all real numbers except -6
Set notation {x | x ∈ R, x ≠ -6}
Interval notation (-∞,-6)∪(-6,∞)

Final answer:

The domain of the function h(x) = f(x)/g(x) is all real numbers except x = -6.

Explanation:

The domain of a function represents the set of all possible input values (x) for which the function is defined. In this case, the domain of f(x) = x - 6 is all real numbers, and the domain of g(x) = x + 6 is also all real numbers. When finding the domain of the function h(x) = f(x)/g(x), we need to consider any values of x that would result in division by zero.

Since g(x) = x + 6, the function g(x) would be equal to zero when x = -6. Therefore, the domain of h(x) would exclude x = -6, as it would result in division by zero. Other than that, the domain of h(x) would be all real numbers.

So, the domain of h(x) = f(x)/g(x) is all real numbers except x = -6.

Which type of function is the result of multiplying a quadratic function and a linear function?

a linear function
a quadratic function
a constant function
a cubic function

Answers

A quadratic function

Answer:

option D a cubic function

Step-by-step explanation:

answer will be option D a cubic function

when we multiply a quadratic function with a linear function the solution comes out to be a cubic function.

Example

assuming a linear function  be (x+3)

assuming a quadratic function be ( x² + x+ 3 )

multiplying both the equation

( x² + x+ 3 ) × (x+3)

x². x + 3 x² + x.x + 3 x + 3 x + 9

x³ + 4 x² + 6 x + 9

hence the answer will be cubic.

A building is 443m and dropped a penny, how long will it take to reach the ground

Answers

Hello there,
The answer to your question is 9 seconds

Hope this helps :))

~Top

What is the equation of the line shown in the graph?
Drag and drop the expressions to write the equation of the line in slope-intercept form.

y =_+_

Answers

Your answer would be
y = 2x +4

Your answer is Y= 2x (a) + 4 (e)  

The y intercept is 4 and the slope is 2

A sofa is on sale for 29% off. the sale price is $355 . what is the regular price?

Answers

355÷(1-29%)
=$500
the regular price is $500

Which statement describes the term salary? Salary refers to the fixed amount paid on a daily basis. Salary refers to the varying amount paid on a daily basis. Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis.

Answers

Answer with explanation:

The Meaning of word "Salary " is the Remuneration that you get for converting your energy for obtaining that resources which you don't have ,so you work for others who has other resources or can give you a way to obtain that resources,due to the reason that, you want to keep yourself Mentally as well as physically Healthy.

In today's world money is used for exchange of different goods,in the system created by Humans.So, Remuneration is replaced by "money".

Salary Varies ,on the work you are doing.Because different kind of work requires different amount of energy.So, you get payment according to the work you are doing .

Usually you have to  work for five days in a week to get the payment for number of hours worked on each day.

Employee or workers get payment for number of hours worked on daily basis also.

But the word Salary is generally used

      "Salary refers to the fixed amount paid on a weekly, bi-weekly, or monthly basis".

Option C

Answer: c. salary refers to the fixed amount paid on a weekly, bi- weekly, or monthly basis

Step-by-step explanation:

By which rule are these triangles congruent? A) AAS B) ASA Eliminate C) SAS D) SSS

Answers

The answer is D) SSS.
We have 3 pairs of congruent sides from each triangles, including the shared side.

Have an awesome day! :)

Answer:

D) SSS

Step-by-step explanation:

In the given image you can observe two triangles with congruent sides,

[tex]PQ \cong SQ\\PN \cong SN\\QN \cong QN[/tex]

Notice that all three corresponding sides are congruent. That means,

[tex]\triangle PQN \cong \triangle SQN[/tex], by SSS postulate.

The SSS postulate states that if two triangles have all three corresponding sides congruent, then those triangles are congruent.

Therefore, the right answer is D) SSS.

Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1.25 per ride. Which function can be used to determine how much money he has left over after x rides? (1 point)


f(x) = 1.25x + 64

f(x) = −16x + $80

f(x) = −1.25x + 64

f(x) = −1.25x − 64

Answers

he has $ 80 when he goes to the fair.....he spends $ 4 to enter and $ 12 for food....(4 + 12) = 16. This means he has spent (80 - 16) = 64. He spends 1.25 per ride (x).

so ur function is :
f(x) = -1.25x + 64

A function is a relationship between inputs where each input is related to exactly one output.

The function that is used to determine how much money he has left over after x rides is

f(x) = -1.25x + 64.

What is a function?

A function is a relationship between inputs where each input is related to exactly one output.

f(x) = 2x + 2 is a function.

f(x) = 3x + 6 is a function.

We have,

Total amount = $80

Cost of entering the fair = $4

Cost on food = $12

Cost per ride = $1.25

The money left after x rides.

= 80 - (1.25x + 12 + 4)

= 80 - 1.25x - 12 - 4

= 80 - 1.25x - 16

= 64 - 1.25x

= -1.25 + 64

The function to determine money left can be represented as:

f(x) = -1.25x + 64

Thus,

The function that is used to determine how much money he has left over after x rides is

f(x) = -1.25x + 64.

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A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales. Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold. Which inequalities are among the constraints for this situation? Select each correct answer. 1. x+y≥200 2. 12x+8y≤1000 3. 12x+8y≥1000 4. x+y≥1000 5.x+y≤200 6.12x+8y≤200

Answers

The answers are 12x+8y≥1000, 12x+8y≤1000, x+y≤200, and x+y≥200,

The explanation behind the first equation is 12x signifies the regular tickets, being at $12 each. And 8y signifies the student tickets being $8 each. The symbol is "≥", because the manager wants $1000 or more from the ticket sale. While the second equation, just the same with the first but the symbols differ since the sale could be lesser than 1000.


The explanation behind the third equation is 200 is the number of seats at most. In the fourth equation, if many people came, they would lack seats so that’s why the greater sign is used.

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