A park charges $14 for one round of miniature golf and a reduced fee for each additional
round played. If Tom paid $59 for 6 rounds of miniature golf, what is the reduced fee for
each additional round played?

Answer:

This equation is a tautology (Something which is always true)

Step-by-step explanation:

If y = x and y = z, then by substitution we can say x = z.

In this case, substitution gives us

-1/2 x - 2 = -3/2 x + 2

and we can solve for x :

3/2 x - 1/2 x = 2 + 2

x = 4

then solve for y :

y = -1/2 x - 2

y = -1/2 * 4 - 2

y = -2 - 2

y = -4

Answer:

y = 7 - 2x

Step-by-step explanation:

Step 1:

2x + y = 7               Equation

Step 2:

y = 7 - 2x          Subtract 2x on both sides

Answer:

y = 7 - 2x

Hope This Helps :)

Answer:

Y= 12.5+X

Step-by-step explanation:

Y=43.75

X=1.25x25=31.25

so 43.75 minus 31.25= 12.5

he spent 12.5 on fair addmition

Answer: distance: 160 kilometres

travel time:100

Step-by-step explanation:

Answer:

94 days 9400 distance

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We know that 351 loaves were baked in six hours and 15 minutes.

First, let's convert the time to minutes. 6 hours is 360 minutes, so 6 hours and 15 minutes is 360 + 15 = 375 minutes.

Therefore, we can write the following ratio:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}[/tex]

We want to estimate how many loaves were baked in one hour or 60 minutes. So, we can write the following proportion:

[tex]\frac{351\text{ loaves}}{375\text{ minutes}}=\frac{x\text{ loaves}}{60\text{ minutes}}[/tex]

Note that the loaves and time align horizontally, while the rates align vertically.

Since we're estimating, let's change 351 to 350 (I'm also going to remove the words, since they're not necessary). So:

[tex]\frac{350}{375}=\frac{x}{60}[/tex]

We can reduce the left by dividing by 25. This yields:

[tex]\frac{14}{15}=\frac{x}{60}[/tex]

Cross multiply:

[tex]15x=60(14)[/tex]

Multiply and solve for x. So:

[tex]15x=840\\\Rightarrow x=56\approx55\text{ loaves}[/tex]

Therefore, approximately 55 loaves were baked in one hour.

So, our answer is B.

And we're done!

Answer:

Step-by-step explanation:

given

351 loaves baked in 6 hrs and 15 min.

15 min x (1 hr / 60 min) = 0.25 hr

find:

Estimate how many loaves were baked in one hour.

its a ratio and proportion:

351 loaves  =    x loaves       ( just cross multiply)

 6.25 hr               1 hr.

x loaves = 351 loaves ( 1 hr.)  

                        6.25 hr.

               = 56 ------->>> say 55

Step-by-step explanation:

Do you mean?

[tex] \frac{ { \tan(x) }^{2} }{ \ { \sin(x) }^{2} } [/tex]

If so:

[tex]3 \sin(x) = 4 \cos(x) \\ \frac{3 \sin(x) }{ \cos(x) } = 4 \\ \frac{ \sin(x) }{ \cos(x) } = \frac{4}{3} \\ \tan(x) = \frac{4}{3} [/tex]

Did the question specify which quadrant? I'm just going to assume that it's the first

(as tangent = opp/adj)

hence

Hypotenuse:

[tex] \sqrt{{3}^{2} + {4}^{2} } = 5[/tex]

[tex] \sin(x) = \frac{4}{5} [/tex]

Finally,

[tex] \frac{ { \tan(x) }^{2} }{ { \sin(x) }^{2} } = \frac{ { \frac{4}{3} }^{2} }{ { \frac{4}{5} }^{2} } \\ = 2 \frac{7}{9} [/tex]

Answer:

25%

Step-by-step explanation:

Answer:

The answer is D: Yes, BD = 7 and CE = 7

Step-by-step explanation:

B--> -5

D --> 2

-5 + BD = 2

BD = 7

C--> 0

E --> 7

0+CE=7

CE = 7

The answer is D

Answer:

-6 , 8 , 10 , 15

Negatives are less than positives so they're first

Answer: -7

Step-by-step explanation:

2X + 4= -10

2X= -10 -4

2X= -14

X= -7

Answer:

759,602

Step-by-step explanation:

Evaluate (x^5 + 2) + x^2 where x = 15:

(x^5 + 2) + x^2 = 15^2 + (15^5 + 2)

| 1 | 5

× | 1 | 5

| 7 | 5

1 | 5 | 0

2 | 2 | 5:

225 + 2 + 15^5

15^5 = 15×15^4 = 15 (15^2)^2:

225 + 2 + 15 (15^2)^2

| 1 | 5

× | 1 | 5

| 7 | 5

1 | 5 | 0

2 | 2 | 5:

225 + 2 + 15×225^2

| | 2 | 2 | 5

× | | 2 | 2 | 5

| 1 | 1 | 2 | 5

| 4 | 5 | 0 | 0

4 | 5 | 0 | 0 | 0

5 | 0 | 6 | 2 | 5:

225 + 2 + 15×50625

| 5 | 0 | 6 | 2 | 5

× | | | | 1 | 5

2 | 5 | 3 | 1 | 2 | 5

5 | 0 | 6 | 2 | 5 | 0

7 | 5 | 9 | 3 | 7 | 5:

225 + 2 + 759375

| | | | 1 | 1 |  

| 7 | 5 | 9 | 3 | 7 | 5

| | | | 2 | 2 | 5

+ | | | | | | 2

| 7 | 5 | 9 | 6 | 0 | 2:

Answer: 759602

Answer:

759,602

Step-by-step explanation:

In this problem you would replace the x with 15 and break down the answer.

[tex]x^{2} +(2 + x^{5} )[/tex]  = [tex]15^{2} + (2 + 15^{5} )[/tex]

Now that you know the equation, break it down.

15² = 225

225 + (2 + [tex]15^{5}[/tex])

After rewriting the equation, do the work inside the parenthesis.

(2 + [tex]15^{5}[/tex]) = (2 + 759,375) = 759,377

The equation will now look like this.

225 + (759,377)

Solve!

759, 602

Answer:

416 I believe.

Step-by-step explanation:

add 7 to 149

divide 156 by 3 to get 1/8 of total.

Get 52 and then multiply by 8 to get 416

Answer:

c.2548KW

Step-by-step explanation:

The correct reading of the meter is;

First meter,---2000

Second meter----500

Third meter ------40

Fourth meter -------8

Total 2000+500+40+8 = 2548 kilo watts.

The answer option A,B, and D are not correct because the answers have incorrect meter reading values.

Answer:

84

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Here's an example: 3/5 divided by 7/8.

   3/5

  _____

   7/8

Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:

   3/5      1       3/5      3/5

  _____ * _____ = _______ = ______ = 3/5

   7/8     8/7     56/56      1

Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.

For comparison, here's the RIGHT way:

   3/5     8/7     24/35     24/35

  _____ * _____ = _______ = _______ = 24/35

   7/8     8/7     56/56       1

In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.

Divide the corresponding sides

3/6 = 0.5

5/4 = 1.25

6/8 = 0.75

We get different results, so the sides are not in the same ratio or proportion.

Answer:

4[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplify the radicals

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9(3)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

[tex]\sqrt{48}[/tex] = [tex]\sqrt{16(3)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]

[tex]\sqrt{75}[/tex] = [tex]\sqrt{25(3)}[/tex] = [tex]\sqrt{25}[/tex] × [tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]

Now mean is calculated as

mean = [tex]\frac{sum}{count}[/tex] , then

mean = [tex]\frac{3\sqrt{3}+4\sqrt{3}+5\sqrt{3} }{3}[/tex] = [tex]\frac{12\sqrt{3} }{3}[/tex] = 4[tex]\sqrt{3}[/tex]

Given:

Per month fee = $55

One-time recital fee = $165

The equation represents the $495 total cost that Barbara paid to Dance Unlimited.

[tex]495=165+55m[/tex]

To find:

We need to find the number of month Barbara receive dance lessons from Dance Unlimited.

Solution:

We have,

[tex]495=165+55m[/tex]

Here, m is number of months. We need to isolate m.

Subtract 165 from both sides.

[tex]495-165=55m[/tex]

[tex]330=55m[/tex]

Divide both sides by 55.

[tex]\dfrac{330}{55}=m[/tex]

[tex]6=m[/tex]

The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.

Answer:

$42.50

Step-by-step explanation:

3 + 5.5 per day = 8.5

8.5 x 5 days per week = $42.50 per week (mon-fri)

Answer:

She should use 1.875 cups of sugar

Step-by-step explanation:

Find the ratio by cross multiplying

Answer:

I think it is 0.3

Step-by-step explanation:

Because, 3/4 divided by 2.5= 0.3

Answer:

7556

Step-by-step explanation:

Can You Please give me a Brainlies or how ever you spell it

Answer:

5304

Step-by-step explanation:

80+1246√16

= 1326√16

= 5304.

Answer:

a and b must be positive integers

Step-by-step explanation:

for example- a= (+1)x(+2)

                       = (+2)

                       = (+2)>0

                       = axb>0

Thank U

Answer:

-10, -1, 5

To find the zeros of a function, you have to set each factor to zero in separate equations, and then solve for x.

x+10=0

Subtract 10 from each side

x=-10

x-5=0

Add 5 to both sides

x=5

x+1=0

Subtract 1 from both sides

x=-1