On a map of the Thunderbird Country Club golf course, 1.5 inches equals 15 yards. How
long is the 15th hole if the map shows 17.5 inches?

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The sum of capacity minus three and one-third times n plus one-sixth ended capacity + capacity one and three-sixths times n minus three-twelfths end quantity.

Let n be the number. Then the expression will be

⇒ -(3  1/3)n + 1/6 + (1  3/6)n - 3/12

Simplify the equation, then we have

⇒ -(3  1/3)n + 1/6 + (1  3/6)n - 3/12

⇒ -10/3 n + 3/2 n + 1/6 - 1/4

⇒ -11/6 n - 1/12

The given expression is equivalent to the expression - 11/6 n - 1/12. Then the correct option is C.

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Answer:

104

Step-by-step explanation:

You would do this by diving 65 by 5, you get 13 then multiple that by 8.

She can plant maximum of 6 seedlings in each row. There can be 6 rows of pine seedlings and 5 rows of juniper seedlings.

The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both the numbers completely.

Given: 36 pine seedlings and 30 juniper seedlings and Melissa wants each row to have the same number of seedlings with only one type of seedling in each row.

The greatest number of seedlings that can be planted in each row can be calculated by HCF.

HCF of 36 and 30:

36= 2*2*3*3

30=2*3*5

HCF is 2*3=6

Number of rows of pine seedlings= [tex]\frac{36}{6}[/tex]

=6

Number of rows of juniper seedlings= [tex]\frac{30}{6}[/tex]

=5

Hence, she can plant 6 seedlings in a row. There will be 6 rows of pine seedlings and 5 rows of juniper seedlings.

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Answer:

[tex]-\frac{3+\sqrt{5}}{4}[/tex]

Step-by-step explanation:

[tex]\sqrt{20} \leq 5 \implies f(\sqrt{20})=\frac{2}{\sqrt{20}-6} \\ \\ =\frac{1}{\sqrt{5}-3} \\ \\ =\frac{\sqrt{5}+3}{-4} \\ \\ =-\frac{3+\sqrt{5}}{4}[/tex]

Answer:

Probability of choosing a red marbles = 7/15

Probability of choosing a green marble = 5/15

Step-by-step explanation:

Formula = Marble/Total of the whole marble

= red marbles /Total of the whole marble

= 7/15

green marble/Total of the whole marble

= 5/15

Answer:

It has only one answer which is 'The decimal is non-terminating'

Answer:

a

Step-by-step explanation:

there are not two points on the same line.

Answer:

can you take a picture of the sum

7 will go in the box. The full number would be 67.14.

work: 64.24 + 2.9 = 67.14.

The loan amount at 9% interest is $48,000.

The loan amount at 12% interest is $17,000

The first step is to form a system of equations that can be used to determine the required values:

0.09a + 0.12b = $6,360 equation 1

a + b = $65,000 equation 2

Where:

a = amount of the loan at 9% interest

b = amount of the loan at 12% interest

Multiply equation 2 by 0.09

0.09a + 0.09b = 5850 equation 3

Subtract equation 3 from equation 2

0.03b = 510

Divide both sides of the equation by 0.03

b = 510 / 0.03

b = $17,000

Subtract 17,000 from 65,000

a = 65,000 - 17,000

a = $48,000

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Answer:

Step-by-step explanation:

if you are trying to find x in the equation

3(2x+2)-3x= 6+3x you have to distribute the 3 (which you did correctly.)

6x+6-3x=6+3x

what you did wrong was canceling out the threes. you cannot cancel out the threes here because the one on the left is negative. What you should do is add 3x to each side like this.

6x+6-3x=6+3x

+3x +3x

6x+6=6+6x

since both sides are equal and we obtain 0=0, this means the equation is in fact an identity which is true for all values of x.

Answer:

simplify the reducing the index of the

21/15√x

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

The quotient form of given rational number is -7/2.

Given the rational number is -3.5.

Here, we want to write the quotient form of the given rational number.

rational numbers, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.

Number 3.5 is a rational number. As we know rational numbers can also be expressed as decimals with repeating digits after the decimal point. The number7/2 is the ratio of two integers that are 7 integers divided by 2 integers and expressed in fraction (as p/q where q is not equal to 0).

Hence, the quotient form of the given rational number -3.5 is -7/2.

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The dimensions of the picture will be 60 inches and 2 inches.

We are given that:

The width of the frame is = 2 inches.

The area of the frame is 128 inches².

Let the length of the frame be x.

So, according to the question, we get the length of the picture as:

length = x + 4

Area of picture frame = l × b

128 = (x + 4) × 2

128 = 2 x + 8

2 x = 128 - 8

2 x = 120

x = 120 / 2

x = 60 inches.

Therefore, the dimensions of the picture will be 60 inches and 2 inches.

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Answer:

P = 35x + 18(140-x)

Step-by-step explanation:

I think they are just asking for the expression, not to solve it.  We would need more info (like the total profit) to solve it.

Using proportions, it is found that:

a) Diana and Elsa paid $105 altogether.

b) Hannah paid Diana $21.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Hannah returned Flora $84, and Flora paid 4/5 of what Diana and Elsa paid, hence the amount Diana and Elsa received by Hannah is given as follows:

4/5x = 84

0.8x = 84

x = 84/0.8

x = 105.

Hence Diana and Elsa paid $105 altogether.

For item b, we have that the ratio of Diana and Elsa share is 1:4, hence Diana got 1/5 of the amount paid by Hannah, hence:

1/5 x 105 = 21.

Hannah paid Diana $21.

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The answer to the expression is m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

FOIL is a mnemonic for the standard method of multiplying two binomials, hence the method may be referred to as the FOIL method. The word FOIL is an acronym for the four terms of the product: First (“first” terms of each binomial are multiplied together)

given:

(m^1/3 + y^(-1/2))^2

we can write it as

(m^1/3 + y^(-1/2))*(m^1/3 + y^(-1/2))

=m^1/3 * m^1/3 + m^1/3 *  y^(-1/2) + y^(-1/2) * y^(-1/2) + y^(-1/2)*m^1/3

=m^2/3 + m^1/3 *  y^(-1/2) + 1/y +  y^(-1/2)*m^1/3

= m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

Hence, the answer to the expression is m^2/3 + 2 * m^1/3 *  y^(-1/2)  + 1/y

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D. The function  {(4,1), (-7,0), (-12,2), (0,0), (-12,1)} has the given domain  {-12, -7, 0, 4, 12} and range  { 0, 1, 2}.

The domain is the set of all inputs which has an output or range.The range of a function is the set of all outputs form which the domain is defied.

According to the given question domain and range of a function are given they are { -12, -7, 0, 4, 12 } and { 0, 1, 2 }.

This can be written an an ordered pair as { (-12,0), (-12,1), (-12,2), (-7,0), (-7,1), (-7,2), (0,0), (0,1), (0,2), (4,0), (4,1), (4,2), (12,0), (12,1), (12,2) }.

From the given options we can observe that in option D. which has ordered pairs { (4,1), (-7,0), (-12,2), (0,0), (-12,1) }.

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Answer:

10^2

Step-by-step explanation:

The starting salaries of new phd graduates from a statistics program illustrates a ratio data.

The four basic levels of measuring scales—nominal, ordinal, interval, and ratio are used to collect data in the form of multiple-choice questions on surveys and questionnaires.

Each scale serves the same purpose as the preceding scale, and all survey question scales are incremental levels of measurement.

Nominal: the data can only be categorized.

Ordinal: the data can be categorized and ranked.

Interval: the data can be categorized and ranked, and evenly spaced.

Ratio: the data can be categorized, ranked, evenly spaced and has a natural zero.

Therefore, the starting salaries of new phd graduates from a statistics program illustrates a ratio data.

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Answer:

Step-by-step explanation:

V=lwh

120=l(6)(4)

120=24I

[tex]\frac{120}{24} =\frac{24I}{24} \\I=5[/tex]

Answer:

V=lwh

120=l(6)(4)

120=24I\begin{gathered}\frac{120}{24} =\frac{24I}{24} \\I=5\end{gathered}

Answer:

2A/h = b

Step-by-step explanation:

To get b by itself, you have to reverse each operation for the other variables.

h is being multiplied by b here, so to reverse it, you would divide h on both side of the equation. This will give you...

A/h = 1/2b  (h is not on the right side anymore because it got canceled out.)

Next you will get rid of the 1/2 by multiplying both sides of the equation with the reciprocal. The reciprocal of 1/2 is 2/1. This will give you..

2A/h = b  (1/2 is not on the right side anymore because it got canceled out        by 2/1 (1/2 x 2/1 = 1))

Step-by-step explanation:

this is the formula for the area of a triangle :

half off the baseline times the height (to this baseline).

to solve an equation for one variable involved means to end up with only that variable on one side, and everything else on the other side.

the whole time we keep the equality alive, so any change done on one side has to be done on the other side as well.

A = 1/2 × b × h

to solve for b means we want to get rid of the 1/2 and the h factor.

let's start with the 1/2 factor : we multiply both sides by 2.

2A = b × h

and to get rid of h, we need to divide both sides by h :

2A/h = b

and that's it.

The monthly repayment Kyle has to pay on the television based on the hire purchase agreement is R229.

The monthly repayment is the amount to be paid monthly with interest on the given loan amount.

We have,

Price of the television = R5600

Deposit amount:

= 15% of 5600

= 15/100 x 5600

= 0.15 × 5600

= 840

Now,

The remaining amount:

= 5600 - 840

= 4760

The monthly repayment amount of 14% per annum is:

A = [ P( R/12 )( 1 - R/12 [tex])^{n}[/tex] ] / ( 1 + r/12 [tex])^{n}[/tex] - 1

A =  [ 4760 ( 0.14/12 )( 1 - 0.14/12 [tex])^{24}[/tex] ] / [ ( 1 + 0.14/12 [tex])^{24}[/tex] - 1 ]

A = 228.54

A ≅ 229

Thus the monthly repayment Kyle has to pay on the television based on the hire purchase agreement is R229.

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Based on the given parallelogram, a height of 5 units long as estimated by Leon is not reasonable.

The height of the parallelogram can be found by counting the number of squares from the base of the parallelogram to the top. The squares are given in the graph which is shown attached.

When this counting is done, we get 6 squares.

6 units is therefore the height of the parallelogram which means that Leon's estimate of 5 units is therefore not reasonable.

In conclusion, Leon's estimate is not a reasonable estimate.

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Answer:

The break-even point in dollars is 1,344,000 and in units is 28,000. The break-even point is calculated by dividing the fixed costs by the contribution margin. In this case, 336,000 ÷ .25 = 1,344,000. The break-even point in units is then calculated by dividing the break-even point in dollars by the sales price. In this case, 1,344,000 ÷ 48 = 28,000.

Step-by-step explanation:

Give me brainliest if that helped :)

Answer:

[tex]{ \rm{s = ut + \frac{1}{2} {at}^{2} }} \\ \\ { \rm{h = 0 + \frac{1}{2} \times 10 \times {3}^{2} }} \\ \\ { \tt{h = 5 \times 9}} \\ { \tt{h = 45 \: m}}[/tex]

The  drawing of the number line representing the bank balances is attached below . Kyle owes the bank more money than Jason.

The number line a physical representation of all real numbers. A number line is basically a graph of all real numbers. A number line is a representation of a graduated straight line that is used to represent real numbers visually. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

On the number line all the values of the bank balances of the 3 siblings are given.

Kyle owes the bank $2.25 , therefore Sue has $2.25 in her bank account.

Now we can see in the number line that -2.25 is to the left of -2.0 ,

therefore we can say that:

|-2.25| > |-2.00|

as the absolute value of the given balance .

But  -2.25 < -2.00

Hence Kyle owes more money to the bank as represented on the number line.

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The pay increase that was directly deposited into Ken's account is $476.58.

In the question, we are asked to find the pay increase, that was directly posited in Ken's account, given that Ken received his bank statement in the mail and checked it to verify his recent pay increase. He has direct deposit so his paycheck is sent electronically to his account. The previous month's pay was $5,320.10. His account activity showed a $651.22 previous balance, checks of $5,211.39, ATM withdrawals of $250, and a service charger of $4.50. Also, we are informed that his new balance was $982.01.

We assume the pay increase to be $x.

Thus, his this month's pay will be $(5,320.10 + x).

This will be added in his previous month's balance, to get $651.22 + $(5,320.10 + x) = $(5,971.32 + x).

Now, the check of $5,211.39, ATM withdrawal of $250, and the service charge of $4.50 will be deducted from this to get $(5,971.32 + x) - $5,211.39 - $250 - $4.50 = $(505.43 + x).

This is the final balance of Ken's account.

But, we are given that Ken's new balance was $982.01.

Thus, we get an equation 505.43 + x = 982.01, which can be solved by subtracting 505.43 from both sides to get:

505.43 + x - 505.43 = 982.01 - 505.43,

or, x = 476.58.

Thus, the pay increase that was directly deposited into Ken's account is $476.58.

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Answer:

-i,2i

Step-by-step explanation:

zeros(2,i,-2i {5th degree}

then the conjugate zeroes are,

I,2i {conjugate zeros}

so the answer is i, 2i

The expected value if i play this game is 1/30 dollars.

Probability is the occurrence of a certain event out of the total events that can happen on a given satiation.

According to the given question A bag contains 2 gold marbles, 7 silver marbles, and 21 black marbles.

No. of sample space N(s) = 2 + 7 + 21 = 30.

No. of gold marbles N(g) = 2.

No. of silver marbles N(sil) = 7.

No. of black marbles N(b) = 21.

We know,

P(g) = N(g)/N(s) = 2/30 = 1/15.

P(sil) = N(sil)/N(s) = 7/30.

P(b) = N(b)/N(s) = 21/30 = 7/10.

Given if it is gold, you win 4dollars. If it is silver, you win 2 dollars. If it is black, you lose 1 dollars.

The expected value if you play this game is

= 4P(g) + 2P(sil) - 1P(b)

= 4(1/15) + 2(7/30) - 1(7/10).

= 4/15 + 14/30 - 7/10.

= (8+14-21)/30.

= 1/30 dollars.

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