An orange traffic cone has a diameter of 10 in. and a height of 28 in.
What is the volume of the cone?
Use 3.14 for
π
.
Enter your answer in the box as a decimal to the nearest cubic inch.

Answer:520

Step-by-step explanation:

Suppose the original prize is=x

If the discount is of 80%,the selling prize is of 20%

20% of x=112

20x/100=112

X=520

Its the original prize...

Answer:

£560

Step-by-step explanation:

80% off means that the sale price is 20% of the original price.

The original price is represented by 100%

Divide the sale price by 20 to find 1% then multiply by 100 to obtain the original price

original price = [tex]\frac{112}{20}[/tex] × 100 = £560

Answer:

12 feet

Step-by-step explanation:

By Pythagoras theorem, a²+b²=c², where c represents the diagonal and a and b represents the other sides of a right angled triangle

As a flag is a rectangle, the two triangles cut would be  right angled triangles

Therefore, a²+9²=15²

a²+81=225

a²=144

a=√144

a=12 feet

Final answer:

To calculate the length of the Scottish flag, the Pythagorean theorem is applied. With a diagonal (hypotenuse) of 15 feet and a height of 9 feet, the length is found to be 12 feet.

Explanation:

The question involves calculating the length of the Scottish flag given the length of one diagonal and the flag's height. To find the length of the Scottish flag, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Here, we know the length of the diagonal (hypotenuse) is 15 feet and the height (one side) is 9 feet.

Let x be the length of the Scottish flag (the other side of the right-angled triangle). According to the Pythagorean theorem, [tex]x^2 + 9^2 = 15^2.[/tex]

Solving for x, we get:

Therefore, the length of the Scottish flag will be 12 feet to the nearest foot.

Answer:

105

Step-by-step explanation:

425 - 320 = 105 miles

Final answer:

The drive from Santa Barbara to Los Angeles is 105 miles, which is the difference between San Jose to Los Angeles (425 miles) and San Jose to Santa Barbara (320 miles).

Explanation:

The question asks how far it is to drive from Santa Barbara to Los Angeles. To determine this distance, we utilize the total distance from San Jose to Los Angeles and subtract the distance from San Jose to Santa Barbara. Starting with the overall distance of San Jose to Los Angeles, which is 425 miles, we deduct the San Jose to Santa Barbara distance of 320 miles. This calculation will provide us with the distance from Santa Barbara to Los Angeles.

By subtracting 320 miles from 425 miles, we find that the distance from Santa Barbara to Los Angeles is 105 miles.

Answer:

C. 2 hrs

Step-by-step explanation:

11:50am + 1 hour = 12:50pm

12:50 pm + 1 hour = 1:50 pm

Answer:

B

Step-by-step explanation:

for a linear equation y = mx + b,

the steepness of the graph is denoted by the slope, m

The larger the absolute number of the slope, the steeper it is

in this case it is quite clear that B has the largest absolute number for m.

i.e abs (-10) = 10

Distributive property means you multiply the number on the outside the parentheses (in this case it is 7) with every number/variable inside the parentheses ( in this case it would be 5 and -4) so...

7*(5 - 4) = (7 * 5) - (7 * 4)

Further evaluated you would get...

35 - 28

7

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

The correct option is 3.

Step-by-step explanation:

We need to find a table of ordered pairs that represents a proportional relationship.

Proportional relationship: It means y-values are proportional to x-values.

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

where, k is constant of proportionality.

For table 1,

[tex]\frac{y_1}{x_1}=\frac{8}{4}=\frac{2}{1}[/tex]

[tex]\frac{y_2}{x_2}=\frac{11}{7}[/tex]

[tex]\frac{2}{1}\neq \frac{11}{7}[/tex]

Table 1 does not represents a proportional relationship.

Similarly,

For table 2,

[tex]\frac{25}{5}\neq \frac{49}{7}[/tex]

Table 2 does not represents a proportional relationship.

For table 3,

[tex]\frac{3}{6}=\frac{5}{10}=\frac{7}{14}=\frac{1}{2}[/tex]

Table 3 represents a proportional relationship.

For table 4,

[tex]\frac{6}{3}\neq \frac{11}{8}[/tex]

Table 4 does not represents a proportional relationship.

Only table 3 represents a proportional relationship. Therefore the correct option is 3.

Answer:

V = 67.0206 m3

Step-by-step explanation:

Answer: [tex]17ft^3[/tex]

Step-by-step explanation:

The volume of a cone can be calculated with the following formula:

[tex]V_{(cone)}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

The radius is half the diameter, then "r" is:

[tex]r=\frac{4ft}{2}\\\\r=2ft[/tex]

Since we know that radius and the height, we can substitute them into the formula.

The volume of the cone  to the nearest cubic foot is:

 [tex]V_{(cone)}=\frac{1}{3}\pi (2ft)^2(4ft)[/tex]

 [tex]V_{(cone)}=17ft^3[/tex]

Answer:

$ 70.4

Step-by-step explanation:

Data:

The opening balance = $ 153.82

Withdrawal made        = - $ 40

Check for payment     =  - $ 54.12

Deposited a check for payment = + $ 215. 70

Transferred amount to the savings = - $ 75.00

Debit for the sports equipment      = -$ 130

The total amount left will be = $ (153.82- 40-54.12+ 215.70-75-130)

                                               = $ 70.4

Answer:

The account balance is $70.40.

Explanation:

Please make the brainliest :)

Answer:

G. -10

Step-by-step explanation:

Let one number = x

Let the second one = y

Equations

y = 5x

x + y = -60

Solution.

Put 5x in for y in the second equation.

x + 5x = -60             Combine like terms on the left

6x = -60                   Divide by 6

6x/6 = -60/6             Do the division

x = -10

So one of the numbers is minus 10

Answer:

[tex]\frac{37}{400}[/tex]

Step-by-step explanation:

9.25% as a fraction would be [tex]\frac{9.25}{100}[/tex], since a percentage is always out of 100.

Multiply the fraction by 100 to convert the decimal into fraction form

[tex]\frac{9.25}{100} \rightarrow\frac{925}{10000}[/tex]

Reduce to the simplest terms

[tex]925\div25=37\\\\ 10000\div25=400\\\\ \frac{37}{400}[/tex]

Answer:

The ordered pair is (3, 2).

Step-by-step explanation:

y = -x + 5

2x + y = 8

Substitute y = -x + 5 in the second equation:

2x + (-x + 5) = 8

x + 5 = 8

x = 3.

Now substitute x = 3 into the first equation;

y = -3 + 5

y = 2.

Answer:

x/4

Step-by-step explanation:

(y+3)/3=y/3+3/3=y/3+1

So to find y/3 in your equation all we would need to do is subtract 1 on both sides giving:

(x+4)/4-1

This can be simplified

x/4+4/4-1

x/4+1-1

x/4+0

x/4

Answer: x/4

Answer:

Any number less than 1

Step-by-step explanation:

Let x be the number Lin multiplies by 7/8. So, we have:

(7/8)*x < 7/8

We need to find the possible values for x. Lets start by dividing both sides of our inequality by (7/8) in order to get x alone on the left side.

(7/8)*x / (7/8) < (7/8)/(7/8)

Reordering:

(7/8) / (7/8) * x < (7/8)/(7/8)

As any number divided by itself (except from 0) is equal to 1:

x < 1

So, the number that Lin multiplied by 7/8 MUST be less than 1. This is evident, as any positive number multiplied by a number less than 1 will decrease, doesn't matter if its a negative or positive number.

So, such number is less than 1. Any number less than 1 could be Lin's number.

Answer:

Step-by-step explanation:

[tex]f(x)=x^2+4x+6\\\\a.\\f(-8)-\text{put x = -8 to the equation}\\\\f(-8)=(-8)^2+4(-8)+6=64-32+6=38\\\\b.\\f(x+4)-\text{exchange x to x + 4}\\\\f(x+4)=(x+4)^2+4(x+4)+6\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\ \text{and}\ \text{distributive property}\\\\f(x+4)=x^2+2(x)(4)+4^2+4x+(4)(4)+6\\\\f(x+4)=x^2+8x+16+4x+16+6\\\\\text{combine like terms}\\\\f(x+4)=x^2+(8x+4x)+(16+16+6)\\\\f(x+4)=x^2+12x+38[/tex]

[tex]c.\\f(-x)-\text{exchange x to -x}\\\\f(-x)=(-x)^2+4(-x)+6=x^2-4x+6[/tex]

Answer:

$482.50

Step-by-step explanation:

x=1650×5/100

x=16.5×5

x=82.50

400+82.5=482.5

Answer:

482.50

Step-by-step explanation:

Her base is 400. If she sells nothing, that's her take home.

Take home = 400 + 5% of what she sells.

Take home = 400 + (5/100) * 1650

Take home = 400 + (0.05) * 1650

Take home = 400 + 82.50

Take home = 482.50

ANSWER

a relation only

EXPLANATION

The given graph shown in the attachment represents only a relation and not a function.

The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.

Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.

Answer: First option.

Step-by-step explanation:

By definition, a relation is a function if each input value (value of "x") has only one output value (value of "y").

 In the figure you can observe that each x-coordinate has more than one y-coordinate. Then, since each input value (value of "x") does not have only one output value (value of "y"), you can say that it is not a function, but a relation only.

Therefore, the conclusion is:

The set of ordered pairs represented by the graph, can be described  as a relation only.

Answer: True :)

Step-by-step explanation:

Answer:

B. 259

Step-by-step explanation:

32.9 × 7.5 = 246.75

Therefore, the number closest to 246.75 is 259

PLEASE DO MARK ME AS BRAINLIEST UWU

The closest number is B. 259

To find the answer to this question, you need to multiply 32.9 by 7.5. The option that the product of those two numbers is closest to, is the answer.

= 32.9 x 7.5

= 246.75

= 247 rounded off

This number is closest to 259 as the difference between them is only:

= 259 - 247

= 12

The other options are wrong because:

= 247 - 232

= 15

= 247 - 220

= 27

= 265 - 247

= 18

The closest number is therefore 259.

Find out more at https://brainly.com/question/23898657.

Answer:

points A, B, and D

Step-by-step explanation:

The answer is:

D. [tex]m(p)=4p-28[/tex]

Inversing a function consists of switching the function (name) and the variable, so, where we have the variable (m for this case) we should rewrite it as the function (p(m)), and then, isolate the function in order to know the inverse function.

So, we are given the function:

[tex]p(m)=\frac{m}{4}+7[/tex]

We know that:

[tex]p(m)^{-1}=m(p)[/tex]

Then, rewriting and calculating, we have:

[tex]p(m)=\frac{m}{4}+7[/tex]

[tex]p=\frac{m(p)}{4}+7\\\\p-7=\frac{m(p)}{4}\\\\m(p)=(p-7)*4=4p-28[/tex]

Hence, we have that the answer is:

D. [tex]m(p)=4p-28[/tex]

Have a nice day!

Answer:

Step-by-step explanation:

(f + g)x translates into a more readable f(x) + g(x) so all you do is

f(x) + g(x) = 4x^2 + 1 + x^2 - 5

f(x) + g(x) = 5x^2 - 4

Answer:3x^2+6

Step-by-step explanation: I'm not really good at math but the correct answer is 3x^2+6

Answer:

29

Step-by-step explanation:

12/6 + 9(3) = 2 + 27 = 29

Answer:

29

Step-by-step explanation:

Answer:

12.5%

Step-by-step explanation:

There are 4 walls to choose from, and 2 scenes to choose from. So the number of combinations is 2×4=8. One of those is the ocean scene on the gym wall. So the probability is:

P = 1/8

P = 12.5%

Answer:

The numbers 180 and 0 would make the average 90

Step-by-step explanation:

we know that

To find the average of two numbers, add the numbers and then divide by two.

Let

x ----> one number

y ----> the other number

The average is equal to

(x+y)/2

For x=180 and y=0

the average is equal to

(180+0)/2=90

therefore

The numbers 180 and 0 would make the average 90

Answer:

Runner D

Step-by-step explanation:

The coach has her team run at least 60 miles per week. What is the letter of the runner who has completed 0.25 of the weekly distance. 0.25×60=15

Answer:

[tex]-3x^2-15x-30[/tex]

Step-by-step explanation:

The given expression is [tex]-3(x+3)^2-3+3x[/tex].

We expand to obtain:

[tex]-3(x^2+6x+9)-3+3x[/tex].

We apply the distributive property to get:

[tex]-3x^2-18x-27-3+3x[/tex].

Group and combine the like terms;

[tex]-3x^2-18x+3x-27-3[/tex].

[tex]-3x^2-15x-30[/tex].

This polynomial expression is in standard form because it is descending powers of x.

The simplification of the algebraic expression in standard form is  -3x² - 15x - 30

An algebraic expression is the expression of mathematical variables with their coefficients(numbers), integers, and arithmetic operations. The simplification of algebraic expression usually follows a pattern such as;

From the given algebraic expression, we have:

= -3(x + 3)²  - 3 + 3x

Let's expand the above terms in the bracket, we have:

= -3(x² +6x + 9) - 3 + 3x

= -3x² - 1x - 27 - 3 + 3x

By rearrangement, we have:

= -3x² - 18x + 3x - 27 - 3

= -3x² - 15x - 30

Learn more about algebraic expression here:

https://brainly.com/question/4344214

Answer:

(-1,9)

Step-by-step explanation:

y=-3x + 6

y = 9

We know that y=9

Substitute that into the first equation

9 = -3x+6

Subtract 6 from each side

9-6 = -3x+6-6

3 = -3x

Divide by -3

3/-3 =-3x/3

-1 =x

x=-1, y=9

(-1,9)

Answer:

24 ways

Step-by-step explanation:

4P3 = 4*3*2

=24

Final answer:

The total number of three-digit numbers that can be made using the digits 1, 2, 3, and 4 with repetition allowed is 64. This is computed by multiplying the number of digit options available for each place value in a three-digit number (4 options each for hundreds, tens, and ones).

Explanation:

To determine the number of possible three-digit numbers that can be created using the digits 1, 2, 3, and 4, with the possibility of repeating digits, we need to consider that each place value (hundreds, tens, and ones) can be filled by any of the four digits available.

Therefore, for the hundreds place, there are 4 options (1, 2, 3, or 4). The same is true for the tens and ones place, since repetition is allowed, giving 4 options for each. We calculate the total number of combinations by multiplying the number of options for each place value:

Hundreds place: 4 options

Tens place: 4 options

Ones place: 4 options

The total number of possible numbers is 4 (for the hundreds) × 4 (for the tens) × 4 (for the ones) = 64 numbers.

Answer:

729

Step-by-step explanation:

9 x 9 x 9

Answer:

729

Step-by-step explanation:

9^3=9×9×9. 9×9=18. 18×9=729.