A plain pizza cost $8.35. Additional toppings cost $0.95 each. Which equation can be used to represent the cost of a pizza, y, with x toppings?

Pattern : Multiply by -4 to get to the next number
3 x (-4) = -12
-12 x (-4) = 48
To get to the 6th term : 3 x (-4)^5 = 3 x (-1024) = -3072

Answer:

im not sure the answer choices but heres what I found:" In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer. "-wikipidia

Step-by-step explanation:

The 500 in the equation represents the initial amount deposited in the bank before the weeks start counting.

Linear equation is an equation in which the highest power of the variable is one.

Therefore, the modelled equation represents a linear equation.

where

w = number of weeks since the account was opened

The equation models the balance in her account. This equation tells us each week the owner deposits 25 units amount.

Therefore, the 500 in the equation represents the initial amount deposited in the bank before the number of weeks start counting

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Answer:

Todd earned: $3490

Step-by-step explanation:

First you have to times 10 ($ per shrub) by 194 (# of shrubs planted) and 25 ($ per lawn) by 62 (# of lawns mowed)

10 * 194  = 1940

25 * 62 = 1550

Then you have to add the two together to get the total amount of money he earned.

10 * 194 + 25 * 62 = 3490

Answer:

B. x^2

Step-by-step explanation:

If m = x/y and

n = 1/xy

then

m/n = (x/y)/(1/xy)

You can simplify this complex fraction (fraction over a fraction) with the method Keep-Change-Flip. It works!

KEEP x/y

CHANGE ÷ to ×

FLIP 1/xy over to be xy/1

See image.

x/y • xy/1

= x^2

Answer:

38 I'm 90% sure here so sorry if I am wrong

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

I got it right

Answer:

1.3 kilometers

Step-by-step explanation:

You are welcome

Answer:

15 m

Step-by-step explanation:

4:5  

4:5 × 3 =

12:15
15 m is the answer

Answer:

c) 11

Step-by-step explanation:

If a = 4, what is the value of the expression 12 - a/4 ? A.1/2 B.4 C. 11 D.12

[tex]12-\frac{a}{4} =12-\frac{4}{4}=12-1=11[/tex]

Hope this helps!

Answer:

65.1 km/hr

Step-by-step explanation:

The car travelled 217km in 3 hours and 20 minutes.  We can divide the km by the time to obtain a speed that is km per a time value.  If we would like it expressed as km/hour, we will need to convert the 20 minutes into hours.

20 minutes is (20 minutes)*(1 hour/60 minutes) = (1/3) hour

The total time to travel 217km is 3 and 1/3, or (10/3)  hours.

The speed is (217 km/((10/3) hours)

Speed = 65.1 km/hr

The answer would be the surface area:

Definition:

Answer:

7/4

Step-by-step explanation:

5/6 divided by 10/21,

get the reciprocal of 10/21

reciprocal of 10/21=21/10

now.

5/6 x 21/10

5 x 21= 105

6 x 10 = 60

so, 105/60

and the simplest form of 105/60 is 7/4

Answer:

  see attached

Step-by-step explanation:

Rotation 180° about the origin is equivalent to reflection across the origin. Effectively, every coordinate changes sign.

  (x, y) ⇒ (-x, -y) . . . . rotation 180°

__

Additional comment

There are numerous approaches to making the plot of the reflected image. We chose to plot one point, then develop the rotated image by plotting other points in their proper relative position.

There are geometry programs and apps that can reflect a figure across any point you might choose. They will also do the rotation, if you find that simpler.

You can, of course, compute the values of each of the rotated coordinates, and then plot the points at their new location. We judge that to be the most work of all. YMMV

Answer:

1/7

Step-by-step explanation:

The inequality models the story is given by a < 12

An inequality is an expression that can be used to show the non equal comparison of two or more numbers and variables.

Let a represent the number of lemon-lime sports drinks Suzie might get. Hence:

a < 12

The inequality models the story is given by a < 12

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Note: The percent sign is already taken care of.

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

Explanation:

The continuously compounded interest formula is

[tex]A = Pe^{rt}\\\\[/tex]

where,

Since the unknown variable r is in the exponent, we'll need logs to solve it. A handy phrase is "if the exponent is in the trees, log it down to find it". By "log it down" I mean in terms of lumber, and not a journal.

We could use any base logarithm, but it's handy to use the special base 'e' log. This is the natural logarithm abbreviated as Ln.

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

Solving for r involves these steps

[tex]A = Pe^{rt}\\\\1431 = 1200*e^{r*6}\\\\e^{6r} = 1431/1200\\\\e^{6r} = 1.1925\\\\6r = \text{Ln}(1.1925)\\\\r = \frac{1}{6}*\text{Ln}(1.1925)\\\\r \approx 0.02934199063006\\\\r \approx 0.0293\\\\[/tex]

Move the decimal over 2 spots to the right to convert 0.0293 to 2.93%

This is the same as multiplying by 100.

Answer:

x = 4

Step-by-step explanation:

I don't see a picture, so I'm assuming that M, N, O are points on a line segment with endpoints M and O.

Point N bisects segment MO, so it's in the middle of that segment.  That means the distance from M to N and the distance from N to O are equal.

7x - 15 = 2x + 5

5x - 15 = 5

5x = 20

x = 4

Answer:

1. x = 23

2. y = 14

3. n = 17.5

4. x = 12

5. n = 11

Step-by-step explanation:

Complementary angles are equal to 90°

Vertical angles are congruent, which means they are equal to each other.

Supplementary angles are equal to 180°

1.

2x - 3 + 47 = 90

Step 1: Combine like terms (-3 + 47)

2x (-3 + 47) = 90

2x + 44 = 90

Step 2: Subtract 44 from both sides

2x + 44 - 44 = 90 - 44

2x = 46

Step 3: Divide by 2 on both sides

2x/2 = 46/2

Step 4: Simplify

x = 23

2.

5y + 12 = 82

Step 1: Subtract 12 from both sides

5y + 12 - 12 = 82 - 12

5y = 70

Step 2: Divide by 5 on both sides

5y/5 = 70/5

Step 3: Simplify

y = 14

3.

4n - 5 + 115 = 180

Step 1: Combine like terms (-5 + 115)

4n (-5 + 115) = 180

4n + 110 = 180

Step 2: Subtract 110 from both sides

4n + 110 - 110 = 180 - 110

4n = 70

Step 3: Divide by 4 on both sides

4n/n = 70/4

Step 4: Simplify

n = 17.5

4.

Since m∠XYZ = 110°

3x + 2 + 72 = 110

Step 1: Combine like terms (2 + 72)

3x + (2 + 72) = 110

3x + 74 = 110

Step 2: Subtract 74 from both sides

3x + 74 - 74 = 110 - 74

3x = 36

Step 3: Divide by 3 on both sides

3x/3 = 36/3

Step 4: Simplify

x = 12

5.

5n + 35 = 90

Step 1: Subtract 35 from both sides

5n + 35 - 35 = 90 - 35

5n = 55

Step 2: Divide by 5 on both sides

5n/5 = 55/5

Step 3: Simplify

n = 11

Percent of bracelets made during the weekend

= # of bracelet made during the weekend / total bracelet needed

= 54 / 300 = 0.18 --> 18%

Step-by-step explanation:

When finding the slope using a graph, you can find it with a method called rise/run. This essentially means a change of y/a change of x

We find this by plugging in the given y points over the given x points

[tex]\frac{2-0}{-5-(-1)}[/tex]

[tex]\frac{2}{-4} =-1/2[/tex]

Therefore, the slope is -1/2.

Answer:

x = 9

Step-by-step explanation:

Vertical angles has same measurement so the two angles are equal:

if one of the angle is 36 and the other is represented by 4x then the value of x:

4x = 36 divide both sides by 4

x = 9

Answer:

[tex]x^{2}[/tex] - 6x +8 is standard form

Step-by-step explanation:

terms with highest exponents come first, then descend in order

The probability is the ratio of the favorable event to the total number of events. All three show the correct description.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The probability of spinning and landing on red is 20% can be written as 1/5 which represents the spinner has five equal sections.

Meg spins the spinner 25 times and lands on red 10 times, or 40% of the time. In this, 40% represents the probability of red occurring 10 times out of 25.

She spins the spinner 80 times and lands on red 18 times or 22. 5% of the time. In this, 22.5 % represents the probability of red occurring 18 times out of 80.

More about the probability link is given below.

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Answer:So the radius of the cylinder is 2.65 cm.

A cylinder can be defined as a solid figure that is bound by a curved surface and two flat surfaces. The surface area of a cylinder can be found by breaking it down into 2 parts:

1.  The two circles that make up the caps of the cylinder.

2.  The side of the cylinder, which when "unrolled" is a rectangle.

The area of each end cap can be found from the radius r of the circle, which is given by:

A = πr2

Thus the total area of the caps is 2πr2.

The area of a rectangle is given by:

A = height × width

The width is the height h of the cylinder, and the length is the distance around the end circles, or in other words the perimeter/circumference of the base/top circle and is given by:

P = 2πr

Thus the rectangle's area is rewritten as:

A = 2πr × h

Combining these parts together we will have the total surface area of a cylinder, and the final formula is given by:

A = 2πr2 + 2πrh

where:

π  is Pi, approximately 3.142

r  is the radius of the cylinder

h  height of the cylinder

By factoring 2πr from each term we can simplify the formula to:

A = 2πr(r + h)

The lateral surface area of a cylinder is simply given by: LSA = 2πr × h.

Example 1: Find the surface area of a cylinder with a radius of 4 cm, and a height of 3 cm.

Solution:

SA = 2 × π × r2 + 2 × π × r × h

SA = 2 × 3.14 × 42 +  2 × 3.14 × 4 × 3

SA = 6.28 × 16 + 6.28 × 12

SA = 100.48 + 75.36

SA = 175.84

Surface area = 175.84 cm2

Example 2: Find the surface area of the cylinder with a radius of 5.5cm and height of 10cm.

Solution:

The radius of cylinder = 5.5 cm.

The height of cylinder = 10 cm.

The total surface area of the cylinder is therefore:

TSA = 2πr(r+h)

TSA = 11π (5.5+10)

TSA = 170.5 π

TSA = 535.6 cm2

Example 3: Find the total surface area of a cylindrical tin of radius 17 cm and height 3 cm.

Solution:

Again as in the previous example:

TSA = 2πr(r+h)

TSA = 2π× 17(17+3)

TSA = 2π×17×20

TSA = 2136.56 cm2

Example 4: Find the surface area of the cylinder with radius of 6 cm and height of 9 cm.

Solution:

The radius of cylinder: r = 6 cm

The height of cylinder: h = 9 cm

Total surface area of cylinder is therefore:

TSA = 2πr(r + h)

TSA = 12π (6+9)

TSA = 180 π

TSA = 565.56 cm2

Example 5: Find the radius of cylinder whose lateral surface area is 150 cm2 and its height is 9 cm.

Solution:

Lateral surface area of cylinder is given by:

LSA = 2πrh

Given that:

LSA = 150cm2

h = 9cm

π is the constant and its value = 3.14

Substitute the values in the formula and find the value of r by isolating it from the equation:

LSA = 2πrh

150 = 2× π × r × 9

r = 150 / (2×9× π)

r = 2.65cm

So the radius of the cylinder is 2.65 cm.

The lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Let us consider the radius of the cylinder is 2 and height of cylinder is 5.

Lateral surface area = 2πrh

Plug in the values of radius and height

=2×3.14×2×5

=62.8 square units.

Total surface area TSA= 2πr(h+r)

=2×3.14×2(5+2)

=2×3.14×2×7

=87.92 square units

Volume of cylinder= πr²h

=3.14×4×5

=62.8 cubic units

Hence, the lateral surface area of cylinder is 62.8 square units, total surface area is 87.92 square units and 62.8 cubic units is the volume.

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Answer:

I'm friends with the monster thats under my bed

DONT REMOVE THIS PLEASE

Step-by-step explanation: