Clara goes mini golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25. Which equation can be used to determine the number of rounds, x, that Clara golfs?

6.25x + 7.50 = 26.25

6.25x - 7.50 = 26.25

7.50x + 6.25 = 26.25

7.50x - 6.25 = 26.25

Answer:

56

Step-by-step explanation:

The size of angle x is 54°.

A triangle is a three-sided polygon that consists of three edges and three vertices.

All the diagonals of a pentagon are equal so, their opposite angles of equal diagonals are also equal.

The angle  'O' is a complete angle

∴ ∠O = 360°

Angle between diagonals =360/5= 72°

The sum of all interior angles of triangle is 180°

x+x+ 72°=180°

2x=180-72

2x=108°

x=54°

Hence, the size of angle x is 54°.

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Answer:

Step-by-step explanation:

The answer is b

Answer:

a) y = -5 b) y = -4 c) y = 4 d) y = 11

Step-by-step explanation:

a) (-2+2)²-5

b) (-1+2)²-5

c) (1+2)²-5

d) (2+2)²-5

Answer:

4 parrots

3 cages

Step-by-step explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

[tex]P=C+1\\C-1=\frac{P}{2}[/tex]

Solving the linear system:

[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]

Bryan has 4 parrots and 3 cages.

Answer:

17

Step-by-step explanation:

let x be the number of boxes to be shaded to make it 80%

x = 80% of total number

= 80/100 of 25

= 80/4

= 20

So 20 need to be shaded to fill 80%

Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13

= 17 squares

Answer:

x=35

Step-by-step explanation:

The 2 angles are on a straight line together. This means they are supplementary. When they are added together, they must equal 180 degrees.

3x+75=180

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

75 is being added to 3x. The opposite of addition is subtraction. Subtract 75 from both sides.

3x+75-75=180-75

3x=180-75

3x=105

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

3x/3=105/3

x=105/3

x=35

x is equal to 35.

Answer: D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

Either A and B which are the two legs can be greater than the hypotenuse which is C. They hypotenuse has to always be greater than the two legs and the two legs have the same lengths but it can't be greater than the hypotenuse.  

For example let's say you have a right angle with side lengths  3,4 and 5.

5 in this case has to be always the hypotenuse.

A could be either 3 or 4  but not 5

And  B could also be 3 or 4 but not 5  

because A squared plus B squared is always equal to the hypotenuse which is 5.

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25  

Answer:

D. No, a and b are interchangeable,  and C is the longest side.

Step-by-step explanation:

Answer:

The answer is p(5p+13).

Step-by-step explanation:

You have to take out the common factors :

[tex]5 {p}^{2} + 13p[/tex]

[tex] = p(5p + 13)[/tex]

Therefore, the factorisation stop here. As 5 and 13 are not common to each other.

Answer:

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped you plz don't forget to thnk me...

Answer:

A. Infinitely many solutions

Step-by-step explanation:

x − 2y = 5   | × (- 2)

2x − 4y = 10

- 2x + 4y = - 10

2x - 4y = 10

----------------------- +

- 2x + 2x + 4y - 4y = - 10 + 10

0 = 0

A. Infinitely many solutions

Answer:

x = -7

Step-by-step explanation:

4(2x + 14) = 0

Divide each side by 4

2x+14 = 0

Subtract 14 from each side

2x+14-14 = 0-14

2x= -14

Divide each side by 2

2x/2 = -14/2

x = -7

Answer:

C, -7

Step-by-step explanation:

Use distributive property to get: 8x +56 = 0

Isolate x to get: 8x = -56

Then divide each side by 8: x= -7

The answer is C

Answer:15m

Step-by-step explanation:

The volume of a cylinder= πr^2h

Radius=9m

Volume=3818

Height=?

3818=22/7 x 9^2 x h

26726=22 x 81 xh

26726=1782h

H = 14.9

Height= 15m

If there is something that is not clear, let me know

Answer:

DB

It's the only line that is not a segment.

Step-by-step explanation:

Answer:

B, D, E and G lies on X axis

[tex]the \: answer \: is \: 20. \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:1/2 slope

Step-by-step explanation:

Answer: -2

Step-by-step explanation: Using rise/run, take two points of the line. I took the points (3,1) (2,3). I then went down 2 (run) and then I went 1 to the right(run). Since the graph goes by 2, the equation is -4/2 resulting in the answer -2.

Answer:

The number line is attached below.

Step-by-step explanation:

The number to be plotted on the number line is:

[tex]x=-1\frac{7}{8}[/tex]

The value of x lies between -2 and 0.

Draw a number line from -2 to 0 with intervals at every one-eight value.

Mark the point at [tex]x=-1\frac{7}{8}[/tex].

The number line is attached below.

Answer:

21.3333333

Step-by-step explanation:

64/3=x

64/3=21.3333333

Sorry if its wrong.

Answer:

Not a function.

Step-by-step explanation:

It is not a function since it does not pass the vertical line test.

Answer:

not a function

Step-by-step explanation:

you can test it out by sliding your pencil thru the graph and making sure

the function doesn't cross thru the pencil twice

Answer:

180 pages

Step-by-step explanation:

Answer: 180 pages

Step-by-step explanation:

Let the equation be

x - 7/9x = 40

9x - 7x = 360

x = 360 / 2 = 180

The book has total 180 pages

Means he has read (180 - 40) = 140 pages

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]

[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]

Since we know the measure of <1 and <6, we can find the measure of others as follows:

In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

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Answer:

(2 x + 5) (x - 1) (x + 7) thus the answer is D.)

Step-by-step explanation:

Factor the following:

2 x^3 + 17 x^2 + 16 x - 35

The possible rational roots of 2 x^3 + 17 x^2 + 16 x - 35 are x = ± 1/2, x = ± 5/2, x = ± 7/2, x = ± 35/2, x = ± 1, x = ± 5, x = ± 7, x = ± 35. Of these, x = -5/2, x = 1 and x = -7 are roots. This gives 2 x + 5, x - 1 and x + 7 as all factors:

Answer: (2 x + 5) (x - 1) (x + 7)

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

Answer:

Use the slope formula to find the slope   . m = 0

Step-by-step explanation:

Ans:

3/2. your welcome

Step-by-step explanation:

Answer:

23 boys 21 girls

Step-by-step explanation:

so what i would do is 41/2 =20.5 (we round up becaue its people) 21

so if there are 3 more boys then we  have 23 boys and 21 -3(to make it equal in half) 18 girls

i might be wrong  im not in this level of math yet    

Answer:

8 hours after noon (12 pm) is at 8 pm

At 8pm, temperature was -15°C

So, temperature was -15° below freezing point (0°)

Answer:

- 15

Step-by-step explanation:

8 hours after noon  is at 8 p.m.

At 8 p.m., temperature was -15 C

Thus, temperature was -15 below freezing point at 8 p.m.

Hope that helps!

Answer:  [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]

Step-by-step explanation:

90° ≤ θ ≤ 180° means that it is in Quadrant II →   x is + ,  y is -

[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]

Answer:

see below

Step-by-step explanation:

a rigid transformation preserves lengths and angles

if the shapes don't look the same or they are the same shape but smaller or bigger than the other one it's not a rigid transformation

if the corresponding angles are the same that works too

Answer:

I don't really understand your question, but I still think I can explain.

Step-by-step explanation:

The original recipe is doing the recipe once. If you want to make the recipe three times bigger, you have to do all of the ingredients three times bigger, including the milk.

Three times bigger also can be written as 3 × _

So whatever the recipe says for the milk, put the number in the blank and multiply it by three.

Answer:

2 1/3

Step-by-step explanation:

Answer:

0; one real roots

* the answer is C

Answer:

30

Step-by-step explanation:

Sum of ages= 40

Let the sons age be x

Fathers age = 3 times x or ,3x

So 3x+x=40

4x= 40

x= 40/4

= 10

Therefore the fathers age = 3x

= 3*10

= 30