What is the height of the flagpole?

Answer: 12

Explanation:

add 17 to both sides

x = -5 + 17 = 12

Answer:

x = 12

Step-by-step explanation:

x - 17 = -5

x = -5 + 17

x = 12

Answer:

Part A (Equation): C(g) = 0.99g + 12.49

Part B: Total cost of 6 games = $18.43

Step-by-step explanation:

Given the $0.99 charge to download a game, and a membership fee of $12.49:

A cost function (or equation) that represents the total cost (C ), in dollars, to download g number of games is:  

C(g) = 0.99g + 12.49

where:

To find the cost of downloading 6 games C(6), substitute the value of g = 6 into the equation:

C(g) = 0.99g + 12.49

C(6) = 0.99(6) + 12.49

C(6) = 5.94 + 12.49

C(6) = 18.43

Therefore, it costs $18.43 to download 6 games.

Answer:

16.50

Step-by-step explanation:

2.50 + 3(3) + 2(3.50) = 2.50 + 9 + 5 = 16.50

Answer:

2

Step-by-step explanation:

One thing on flour costs $2.50

Three things of shredded cheese costs $9.00

$9.00 + $2.50=11.50

$18.50-11.50=$7.00

$7.00/$3.50=(2)

============================================================

Explanation:

Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]

It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.

To solve this problem, you must first know how much 1 egg costs, for this we have to divide:

[tex]\begin{matrix}\space\space\space\space\space\space\emptyspace \sf 1,5\space\space\space\space\space\space\space\space\space\space\space\space\\ \sf 8\overline{|\smallspace \sf 12}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\underline{\sf 8}\\\sf 40\\\underline{\sf 40}\\(0)[/tex]

[tex]\sf 1,\:5\:+1,\:5+1,\:5=\boxed{\sf 4,5}\ll Eggs[/tex]

Answer:

  AED 2 for 3 eggs

Step-by-step explanation:

Price (p) is proportional to the number of eggs:

  p/3 = 8/12

  p = 3(8/12) = 8(3/12) = 8/4 = 2

The cost of 1/4 as many eggs will be 1/4 as much: AED 2 for 3 eggs.

Answer:

2

Step-by-step explanation:

2 x 2 - 6 + 4

4 - 6 +4

4 - 2

2

Answer:

6 time

Step-by-step explanation:

97÷14=6•928

=6 or round it up to 7

Answer:

6

Step-by-step explanation:

97÷14=6.928

6 or round it up to 7

Answer:

the length of the magnet is 5cm

Step-by-step explanation:

first convert the feet into inches: 2ft 6in=30in, 1ft 9in=21in

then convert inches into centimeters (times by 2.5): 30*2.5=75cm 21*2.5=52.5

then divide 52.5 by 3.5 to get a proportion: 52.5/3.5=15

then divide 75 by 15: 75/15=5cm

Answer:

6.06%

Step-by-step explanation:

198 + 6.06%=209.9988

Answer:

x ≈ 3.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos29° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{3.7}[/tex] ( multiply both sides by 3.7 )

3.7 × cos29° = x , then

x ≈ 3.2 ( to the nearest tenth )

Answer:

3.2

Step-by-step explanation:

we have two angles, 29 and 90.

we need one more angle to make the total sum of the angles 180.

the angle to do this is 61.

the area of this triangle so far is 2.90244.

using the area, we can find that the x side is 3.23609.

round 3.23609 to the tenth, we get 3.2

Answer:

k = - [tex]\frac{16}{15}[/tex]

Step-by-step explanation:

Since x = - 2 is a zero , then p(- 2) = 0 , that is

2(- 2)² - 3(- 2)(5k + 4) = 0

2(4) + 6(5k + 4) = 0 ← distribute parenthesis

8 + 30k + 24 = 0

30k + 32 = 0 ( subtract 32 from both sides )

30k = - 32 ( divide both sides by 30 )

k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]

Given Polynomial P(x) = 2x^2-3x(5k+4)

Zero = -2

We know that

If -2 is zero of the Polynomial then it satisfies the given Polynomial

⇛P(-2) = 0

⇛ 2(-2)^2-3(-2)(5k+4)=0

⇛ 2(4)+6(5k+4) = 0

⇛ 8+30k+24 = 0

⇛ 30k+32 = 0

⇛ 30 k = -32

⇛ k = -32/30

⇛ k = -16/15

Answer:- The value of k = -16/15.

Read more:

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Answer:

  C.  y = 2x -7

Step-by-step explanation:

You can use any pair of points to find the slope. Use the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-7 -(-13))/(0 -(-3)) = 6/3 = 2

This is the coefficient of x in the slope-intercept form ...

  y = mx +b

The second point (0, -7) tells you that b = -7, so the equation is

  y = 2x -7 . . . . matches C

1 A function is represented by the following set of ordered pairs. {(-3,-13), (0, -7), (3, -1), (6,5)}

Which equation represents the function?

Therefore the answer i letter D.

#CarryOnLearning

a.9v3-4v3+v5+2v5

=5v3+v3+2v5

=5v3+3v5

b.10v2+4v2+6v2

=4v2+4v7

Answer:

The requirements for taking out a loan tend to be very strict, and therefore, an impressive internship program would not be something that can meet the requirements to obtain a loan of $6500.

Step-by-step explanation:

1. If you were trying to decide whether to take out an auto loan for $6500 to buy your first car, thereby allowing you to commute for an impressive summer internship program next year, that loan would not meet the requirements.

Is it necessary?

No, travelling can be done by other means.

Do the monthly payments fit in your budget?

Maybe

Could you save instead of borrow?

Yes saving for the whole year is better than borrow.

Is it worth the added interest?

No, its not worth the added interest.

All of the answers indicate that the loan does not meet the requirements.

Paying a huge amount of interest for something which is not that necessary is useless.

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Answer:

Line is y = -3x + 3

Slope = -3

y-intercept = 3

Step-by-step explanation:

Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.

So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).

So now we plug it in: y = -3x + 3

Hope this helps you :)

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

Think of a number, that when multiplied with itself, will get you 90.

We could try something like 7. So 7*7 = 49, but it's too small.

How about 10? Well we get 10*10 = 100 which is too big. The answer is between 7 and 10.

Let's try 8. So we get 8*8 = 64 which is too small.

This process is repeated until you determine that the answer is somewhere between 9 and 10

9*9 = 81

10*10 = 100

----------------

From here, we can try 9.5 since it's right between 9 and 10

9.5*9.5 = 90.25

close but not quite there. It's a bit too large. So the actual value is somewhat smaller than 9.5

Let's try 9.4

9.4*9.4 = 88.36

That seems even worse off compared to 90.25, so 9.5 is the better answer.

-----------------

As a shortcut, you can use the square root on your calculator

[tex]\sqrt{90} \approx 9.4868 \approx 9.5[/tex]

Answer:

268,840

Step-by-step explanation:

286,000 x 6% commission= 17,160. you then subtract this commission from the sold price of 286000=$17160

Answer:

D. 10 3/8

Step-by-step explanation:

First make them into a improper fraction

[tex]\frac{29}{8} +\frac{27}{4}[/tex]

Find the lowest common denominator:

[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]

Multiply the denominators:

[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]

Multiply the numerators:

[tex]\frac{29}{8} +\frac{54}{8}[/tex]

Combine the fractions:

[tex]\frac{(29+54)}{8}[/tex]

Combine the numerators:

[tex]\frac{83}{8}[/tex]

=

[tex]10\frac{3}{8}[/tex]

Hence, D. 10 3/8 is the Correct answer.

Answer:

  $87.50

Step-by-step explanation:

To answer this question, you make use of the formula for simple interest:

  I = Prt

This is the interest I on principal amount P at annual rate r for t years.

You have P = $3500, r = 0.025, t = 1, so the interest is ...

  I = $3500×0.025×1 = $87.50

You would receive $87.50 in interest on your savings account.

_____

Additional comment

Many calculators, and all spreadsheets, can use a percentage number directly in the calculation. If yours can't, then you must convert the percentage to a decimal fraction. You can think of the "%" symbol as equivalent to "/100" or "×0.01". The decimal equivalent of 2.5% is 2.5/100 or 2.5×0.01 = 0.025.

__

We have assumed the account earns simple interest, because there is no mention of interest compounding, or of a monthly accounting. In many real-life savings accounts, the interest is computed each month and added to the balance. The computation for the following month includes interest on the interest earned previously. We say the interest is compounded in that case. The formula for compound interest is different from the one shown here.

Answer:

1. Solving for x. Want to solve for y instead?

1 Subtract yy from both sides.

4x=11-y

4x=11−y

2 Divide both sides by 44.

x=\frac{11-y}{4}

x=

4

11−y

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Answer:

In this I have answered this problem.

Answer:

Step-by-step explanation:

500

Answer:

77

Step-by-step explanation:

Hope this helps..

Good luck.

Answer:

The year will be 5 years from the starting year

Step-by-step explanation:

because if you add 7% by 9,000 until you get 50,000 just count how many times you added