Nikka has $20 to spend on school supplies. After buying 25 pencils, she has $16.25 left. How much did each pencil cost?

Answer:

a = [tex]\frac{9}{4}[/tex] , b = - 2

Step-by-step explanation:

Given the 2 equations

9 = ab² → (1)

- 72 = a[tex]b^{5}[/tex] → (2)

Divide (2) by (1)

[tex]\frac{-72}{9}[/tex] = [tex]\frac{ab^5}{ab^2}[/tex]

- 8 = b³ ( take the cube root of both sides )

[tex]\sqrt[3]{-8}[/tex] = b , that is

b = - 2

Substitute b = - 2 into (1) and solve for a

9 = a(- 2)² = 4a ( divide both sides by 4 )

[tex]\frac{9}{4}[/tex] = a

Answer: (I REDID THIS ANSWER)

$128

Step-by-step explanation:

20% off of $16,000 = $3,200

20% off of $3,200 = $640

20% off of $640 = $128

Answer= $128

Answer:

( 10 × x ) + 30

Step-by-step explanation:

This equation would represent the phone bill because you would have to multiply the GB (x) by 10 before adding it to 30 to find the total amount of money.

plz mark me brainliest if correct

The cost of cell phone is represented by expression, [tex]C=10x+30[/tex]

It is given that,

It costs 30 dollars per month for a cell phone plus 10 dollars for every GB of data.

Let us consider that x is the number of GB of data used.

The cost of cell phone is represented by,

                    [tex]C=30+(10*x)\\\\C=10x+30[/tex]

Thus, the cost of cell phone is represented by expression, [tex]C=10x+30[/tex]

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[tex]v =\dfrac{d}{t}[/tex]

[tex]5 = \dfrac{22}{t}[/tex]

[tex]t = \dfrac{5}{22}[/tex]

She will take [tex]\dfrac{5}{22}[/tex] hours or 13 minutes and 38 secs.

Answer:

72

Step-by-step explanation:

(pls mark me brainliest if u can)

Answer:

Both a and b

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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The answer is C because it matches the other graph from Desmos.

( -1.333,0 ) ( 0,-2 )

( Picture Below )

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Hope this helps! <3

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The graph of the equation y = -(3/2)x -2 is C.

Slope of a line is defined as the change in the value of y-coordinate with respect to the value of the x-coordinate. It is usually denoted by 'm'.

Slope can also be defined as the tangent of the angle that the line is making with the X-axis.

The equation of a line in slope-intercept form is y = mx + c, where m is the slope and c is the y-intercept.

For  y = -(3/2)x -2, m = -3/2 and c = -2

Here slope is negative, so the line will be directing downwards from left to right.

So we eliminate graph B.

y-intercept is the y-coordinate of the point where the line touches with the X-axis. The x-coordinate at that point will be zero.

So we got the a point on the line ( 0, -2 )

Since graph A does not pass through this point, it is also eliminated.

Now we find x-intercept which is the x-coordinate of the point where the line touches with the X-axis. The y-coordinate will be zero there.

So, 0 = -(3/2)x -2

⇒ 2 = -(3/2)x

⇒ x = -4/3

⇒ x = -1.333

So the line touches ( -1.333, 0).

Hence, graph C is the one which satisfies the equation  y = -(3/2)x -2.

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Answer:

1) The equation for the of the ball in y = a·(x - h)² + k is;

y = -16·(x - 5)² + 25

2) The height of the dock, d =  -375 feet below the water level

Step-by-step explanation:

1) The question is with regards to quadratic function representing projectile motion

The given parameters are;

The height the ball reaches 4 seconds after Sarah kicked the ball = 9 feet

The time the ball hits the water = 6 seconds after reaching the 9 feet height

The form of the quadratic equation representing the motion is given as follows;

y = a·(x - h)² + k = a·x² - 2·a·h·x + a·h² + k

Let 'x' represent the time of motion of the ball, and let 'a', represent the acceleration due to gravity, we have;

The equation for the ball, y = a·(x - h)² + k

Where;

(h, k) = The coordinates of the vertex

h = The horizontal component of the vertex coordinate = 0

Therefore, we have;

When x = 0, y = d

d = -16·(0 - h)² + k =  -16·h² + k

d = -16·h² + k  

When x = 4, y = 9 - d

9 - d = -16(4 - h)² + k = -16(4 - h)² + k

When x = 2, y = d

d = -16(2 - h)² + k

When x = 6, y = 9

9 = -16(6 - 5)² + k

When x = 8, y = d

d = -16(8 - h)² + k

-16(8 - h)² - (-16(2 - h)²) = 0

h = 5

From 9 - d = -16(4 - h)² + k = -16(4 - 4)² + k

d = 9 - k

9 = -16(6 - h)² + k

k = 9 + 16(6 - 5)² = 25

d = 9 - k = 9 - 25 = -16

Therefore, h = 5, k = 25

The equation for the of the ball in y = a·(x - h)² + k is therefore;

y = -16·(x - 5)² + 25

2) When x = 0, y = d, ∴ d = -16(0 - 5)² + 25 = -375 feet below the water

The height of the dock, d =  -375 feet below the water level

Answer:

The change of rate of the situation is 5.

Step-by-step explanation:

Given f(n) = 2 + 5n. The rate of change is still the same as the slope of the equation. We know that the equation of a line is given as:

f(x) = y = mx + c where m is the slope. In our given equation, f(n) = 2 + 5n = 5n + 2, we see that m = 5 which is our slope.

Therefore, the change of rate of the situation is 5.

Answer:

15 m

Step-by-step explanation:

12-9=3 meters of orange rope

so 3 m of orange + 12 m of green

15m in total

Answer

nora has 15 meters

Step-by-step explanation:

12 minus 9 is 3 so u have to add 3

Answer:

Plus 4 miles every 2 hours

Hours= +2

Miles= +4

The first one is correct you take the slope and multiple it by x and then add or subtract your y intercept depending on whether it is positive or negative. In this case it's positive so it would by -3/7x+9

Sam's "bearing" is simply the direction in which he's moving, which is the angle made with due East.

From point A to point B, his bearing is 335°, and from point B to C, his bearing is 45°. In both cases, the angle is made with due East from the second point. See the sketch for a rough approximation of this. Note that it is not to scale.

To get it into scale, you have to compute the distances traveled along each bearing.

• Moving at 6 km/h for 20 min = 1/3 h would cover a distance of

(6 km/h) • (1/3 h) = 2 km

• Moving at 10 km/h for 15 min = 1/4 h would mean a distance of

(10 km/h) • (1/4 h) = 2.5 km

In your sketch, 1 cm should represent 500 m = 0.5 km, so the arrow from A to B should have a length of 4 cm, while the arrow from B to C should have a length of 5 cm.

Answer:

34cm

Step-by-step explanation:

bc i konow

Answer:

no, a right angle is 90 degrees. it isn't.

Step-by-step explanation:

the bottom left angle should look like this:  L, which it doesn't.

Step-by-step explanation:

3x is answer because emily = 2X , mike = x

X + 2x

= 3x

Answer:

he needs 10 c

Step-by-step explanation:

Jorge needs 10 large c because 6 large salads need 10 tomatoes

Answer: B. 27

Step-by-step explanation:

3x3 = 9

9x3 = 27

3^3 = 27

Answer:

c. 9

Step-by-step explanation:

3,3

3*3

3 square

9

Answer:

1).

Sqrt (7 x 12) = 9.165

2).  

Altitude = Sqrt (14 x 8) = 10.583

3).  

If FG is the angle bisector of angle F in triangle DEF,

DF/EF = DG/EG

6/EF = 4/9

EF = 13.5 in long.

4).  

In triangle QRS, XY is parallel to SR.  

SX/XQ = RY/YQ

3/2x = 4.5/7.5

9x = 22.5

x = 2.5

The length of QS

= SX + 2x  

= 3 + 5

= 8

did this help sorry if it didnt

Step-by-step explanation:

Answer:

Answer: 350

Step-by-step explanation:

Explanation:

a = adult tickets

s = student tickets

║ a + s = 754

║s = a + 54

Plug s = a + 54 into a + s = 754

a + (a + 54) = 754

a + a + 54 = 754

2a + 54 = 754

2a = 754 - 54

2a = 700

a = 350

Answer:

x = 7

Step-by-step explanation:

Given

5x - 1 - 2x = 20, that is

3x - 1 = 20 ( add 1 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Step-by-step explanation:

5x-1-2x=20

3x-1=20

3x=20+1

3x=21

3x/3=21/3

x=7

-------- hope it helped

Answer: X

Step-by-step explanation: Because look at the chart

Answer:

It’s b

Step-by-step explanation:

Answer:

[tex]\displaystyle m\angle RTU=73^\circ[/tex]

Step-by-step explanation:

Interior Angle of a Circle

An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.

Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x  is:

[tex]\displaystyle x=\frac{p+q}{2}[/tex]

The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:

[tex]\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}[/tex]

[tex]\displaystyle m\angle RTU=\frac{146^\circ}{2}[/tex]

[tex]\boxed{\displaystyle m\angle RTU=73^\circ}[/tex]

Answer:

766.87 is how much he is paid in all.

Step-by-step explanation:

2.5% of 75 is 1.875. 1.875 times 9 is 16.875. 75 times ten is 750. add together to get the whole.

In 10 weeks she will be paid a total of $840 with 2.5% more each week.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, a = 75 and r = 1.025.

We know the sum of a geometric sequence is Sₙ = a(rⁿ - 1)/(r - 1).

∴ S₁₀ = 75(1.025¹⁰ - 1)/(1.025 - 1).

S₁₀ = 75(1.28 - 1)/(0.025).

S₁₀ = 75(0.28)/0.025.

S₁₀ = 840.

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[tex]7.8 \times {10}^{ - 7} [/tex]