Gustavo wants to buy more than two sandwiches at the city fair. There are three sandwich stands, and each is offering a different deal.

Benny's Sandwiches 4 sandwiches for $5.00
ABC Sandwiches, Inc. 4 sandwiches for $6.00
Sandwich Hut 1 sandwich for $2.00 *Buy 1, get 1 Free*

Answer:

193/27

Step-by-step explanation:

8 10/27 - 1 2/9

226/27 - 11/9

= 193/27

Answer: The radius is 14 units.

Step-by-step explanation:

Start by finding the diameter, the formula for circumference is πd, So set up an equality:

28π=c

28π=πd

Divide both sides by π:

28π/π = 28πd/π

Cross out π:

28 = d

diameters twices largest radius, divide your diameter by 2 to get radius.

D/2 = r = 28/2 = 14

Therefore, your radius is 14 units.

Answer:

The smaller angle is 18 degrees

The larger angle is 72 degrees

Step-by-step explanation:

x = smaller angle

y = larger angle

y = 4x ---> one angle is 4 times larger than other one.

y + x = 90 ----> the sum of complementary angles is 90 degrees

4x + x = 90 ----> plug in 4x for the larger angle (y) and then solve

5x = 90

x = 18 ----> the smaller angle is 18 degrees

y = 90 - 18

y = 72 ----> the larger angle is 72 degrees

The smaller angle is 18.

The complementary angle is the angle that adds up to 90 degrees always, so when we say that two angles are complementary it means that the sum of the angle or the combined angle is equal to ninety degrees.

The larger angle is 4 times the smaller angle so let the smaller angle be 'x' and the larger angle be 4x.

Hence the sum of both the angle is 90 degrees from the definition of complementary

so 4x+x=90, 5x = 90

dividing the equation by 5

x = 18

Hence the smaller angle is 18 degrees

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Answer:

[tex]\frac{63}{2}[/tex]

Step-by-step explanation:

The n th term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - [tex]\frac{1}{2}[/tex] and d = 4, thus

[tex]a_{9}[/tex] = - [tex]\frac{1}{2}[/tex] + (8 × 4) = - [tex]\frac{1}{2}[/tex] + 32 = [tex]\frac{63}{2}[/tex]

Answer:

C. Paige's soccer ball.

Step-by-step explanation:

When you graph y = 3x^2 + 6x + 3, you can see that the max of the parabola is around 6. This is lower compared to Paige's soccer ball's max height shown in the image.

Answer:

Step-by-step explanation:

To solve this problem, we just need to graph Viola's function to know the altitude she reached, and then compare it with Paige's altitude.

So, we know that Viola's function is [tex]y=-3x^{2}+6x+3[/tex], as an extra solution, we can calculate the vertex of this quadratic function, that will give us Viola's max altitude.

[tex]V(v_{x};v_{y})\\V(\frac{-b}{2a};f(v_{x} ))[/tex]

Where b and a are from the general quadratic function: [tex]y=ax^{2} +bx+c[/tex].

So, in this case, a = -3; b = 6. Replacing this values, we find the vertex:

[tex]V(\frac{-b}{2a};f(v_{x} ))[/tex]

[tex]v_{x}= \frac{-b}{2a}=\frac{-6}{2(-3)}=1[/tex]

Then, we use the function to calculate the vertical coordinate of the vertex:

[tex]v_{y}=f(1)=-3(1)^{2}+6(1)+3=-3+6+3=6[/tex]

Therefore, the max altitude reached by Viola is 6 meters.

Now, from the graph, we observe that Paige's max altitude is around 7.5 meters.

Therefore, Paige reached the higher height. The answer is C.

Answer:

0.3

Step-by-step explanation:

7 is greater than 5 therefore round the tenths value up to 3

Answer:

The required diagram is shown below:

Step-by-step explanation:

Consider the provided expression.

0.27+0.23= 1/2

We can draw the model of the provided expression.

Step 1: Shade 27 boxes out of 100 boxes,

This will show 0.27

Step 2: Shade 23 more boxes with another color.

This will show 0.23.

The total shaded boxes are 27+23=50.

Which represents 0.27 + 0.23 = 1/2 (1/2=0.50)

The required diagram is shown below:

To visually show the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], see the diagram attached.

To represent the equation [tex]\(0.27 + 0.23 = \frac{1}{2}\)[/tex], follow the steps:

1. Draw a horizontal line to represent the number line.

2. Label the line with points 0, 0.2, 0.4, 0.6, 0.8, and 1.

3. Mark a point at 0.27, slightly past the midpoint between 0.2 and 0.4.

4. Mark another point at 0.23, slightly before the midpoint of 0.2 and 0.4.

5. Draw a vertical line connecting these two points to represent their sum.

6. Label the top of this line with "0.27 + 0.23."

7. Draw a horizontal line segment from the vertical line's top point to the middle of the line, intersecting at the value 0.5.

8. Label this intersection point as [tex]"\(\frac{1}{2}\)"[/tex] to show that [tex]\(0.27 + 0.23\)[/tex]indeed equals[tex]\(\frac{1}{2}\).[/tex]

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Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

[tex]h=-16t^{2}+64t+3[/tex]

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

[tex]-16t^{2}+64t+3=0[/tex]

The formula to solve a quadratic equation of the form

[tex]at^{2} +bt+c=0[/tex] is equal to

[tex]t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]-16t^{2}+64t+3=0[/tex]  

so

[tex]a=-16\\b=64\\c=3[/tex]

substitute in the formula  

[tex]t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}[/tex]

[tex]t=\frac{-64(+/-)\sqrt{4,288}} {-32}[/tex]

[tex]t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec[/tex]  ---> the time cannot be a negative number

[tex]t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec[/tex]

therefore

The ball will take 4.05 seconds to hit the ground.

Answer: 2/7

Step-by-step explanation: To simplify the fraction 14/49, we need to find the greatest common factor of 49 and 7 and we can divide our fraction by it.

In this case, the greatest common factor of 14 and 49 is 7 so we can divide both our numerator and denominator by 7.

Therefore, 14/49 as a simplified fraction is 2/7.

Image provided.

Answer:

$1694.5

Step-by-step explanation:

Hourly rate for Beau = $26.50

Weekly hours = 40 Hours

Basic earning = 26.50 × 40 = $820

Total number of hours Beau worked in week = 56.5 Hours

Overtime = 56.5 - 40 = 16.5 Hours

Overtime rate = 2 × Hourly rate = 2 × 26.50 = $53

Overtime earning = 53×16.5 = $874.5

Total earning for the week = 820 + 874.5 = $1694.5

Answer:

A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down

Step-by-step explanation:

step 1

Find out the reflection of △RST across the x-axis

we know that

The rule of the reflection of a point across the x-axis is

(x,y) -----> (x,-y)

we have

R(1,3),S(1,1),T(4,1)

Applying the rule of reflection across the x-axis

R(1,3) -----> R''(1,-3)

S(1,1) -----> S''(1,-1)

T(4,1) ----> T''(4,-1)

step 2

Find out the translation of △R''S''T'' 1 unit down

The rule of the translation is

(x,y) -----> (x,y-1)

Applying the rule of the translation

R''(1,-3)-----> R'(1,-3-1)

R''(1,-3)-----> R'(1,-4)

S''(1,-1)----> S'(1,-1-1)

S''(1,-1)----> S'(1,-2)

T''(4,-1) ----> T'(4,-1-1)

T''(4,-1) ----> T'(4,-2)

therefore

A sequence of transformations that maps △RST to △R′S′T′ is a Reflection across the x-axis followed by a Translation 1 unit down

Hey!

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

Solution:

77.50 = 0.15x + 10

77.50 - 10 + 0.15x + 10 - 10

67.50 = 0.15x

0.15x = 67.50

0.15x/0.15 = 67.50/0.015

x = 450

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

Check:

77.50 = 0.15(450) + 10

77.50 = 67.50 + 10

77.50 = 77.50

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

Answer:

450 text messages can be sent when the monthly charge is $77.50!

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

Hope This Helped! Good Luck!

Answer:12b^4 + 6b - 18

Step-by-step explanation:

Area of a rectangle is width x height

(4b^4 + 2b - 6) x 3

Multiply the coefficients by 3

So you get

12b^4 + 6b - 18

Answer:

The Identity Property

Step-by-step explanation:

the Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero

Answer: 36 3/14 miles per hour

Step-by-step explanation:

multiply the speed of a human (5 4/7) by 6 1/2 or 6.5 and you get your answer

To find the fish's speed, convert the mixed numbers 5 4/7 and 6 1/2 to improper fractions and multiply them. The result, 507/14, converts back to a mixed number as approximately 36.21 miles per hour.

To solve this question, we need to multiply the person's swimming speed with the mentioned relative speed of the fish. A person can swim at a speed of 5 4/7 miles per hour, and since the fish can swim 6 1/2 times faster, we multiply 5 4/7 by 6 1/2.

The first step is to convert these mixed numbers to improper fractions. 5 4/7 becomes 39/7 and 6 1/2 becomes 13/2.

Multiplication of fractions involves multiplying the numerators together to get the new numerator and the denominators together to get the new denominator. So the multiplication (39/7)*(13/2) leads to a result of 507/14.

This can be now converted back to a mixed number, giving us an approximate answer of 36.21. Therefore, the fish swims at a speed of approximately 36.21 miles per hour.

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Step-by-step explanation:

1 yard equal to 91.44 centimeters (cm)

Answer:

-6

Step-by-step explanation:

Answer:

Is it 15 Minus 21 (Or) 15 x -21

Step-by-step explanation:

Answer:

10101100.00111101.00100011.10111010

Step-by-step explanation:

The dotted decimal IP address 172.61.35.186 converts to binary as 10101100.00111101.00100011.10111010. Each segment of the IP address is converted separately and reassembled with dots in between the binary segments.

To convert a dotted decimal IP address to binary, it is important to understand that each segment of the IP address (divided by dots) is converted separately. Let's take for example the IP address 172.61.35.186.

So, the IP address 172.61.35.186, when converted into binary, will be: 10101100.00111101.00100011.10111010.

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Answer: 2/5 3/5 2/3 13/15

Step-by-step explanation:

2/3, 3/5, 13/15, 2/5

The least common denominator is: 15.

Rewriting as equivalent fractions with the LCD:

10/15, 9/15, 13/15, 6/15

Ordering these fractions by the numerator in order from least to greatest:

6/15 < 9/15 < 10/15 < 13/15

Therefore, your input in order from least to greatest is:

2/5 < 3/5 < 2/3 < 13/15

Answer:

It travels for 1 h, then stops for 1 h, and finally travels again for 3 h.  

Step-by-step explanation:

The sloped parts of the graph are where the car is moving.

For example, in the first hour the distance travelled changes from zero to 12 mi.

The horizontal part of the graph is where the car is stopped.

For example, between hours 1 and 2, the distance travelled stays the same at 12 mi.

The car travels for 1 h, then stops for 1 h, and finally travels again for 3 h.

Answer:

2(6x - 2 + x - 1) = 2(7x - 3) = 14x - 6

Answer:

x=$150,000

4th person invested $550,000

Step-by-step explanation:

100,000+x+2x+(100,000+x+2x)=1,100,000

200,000+6x=1,100,000

6x=900,000

x=150,000

The investment of the fourth person is 100,000+3x

=100,000+450,000

=$550,000

The amount invested by the fourth person was $550,000.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Given that a person invested $100,000. Two others invested in the ratio x:2x and the fourth person invested an amount equal to the other three investors combined.

We have to determine an expression for the amount invested by the fourth person.

The total investment = $1,100,000.

So an expression for the amount invested by all people as:

⇒ 100,000 + x + 2x + (100,000+x+2x) = 1,100,000

⇒ 200,000 + 6x = 1,100,000

⇒ 6x = 900,000

⇒ x = 150,000

So the investment of the fourth person as

⇒ 100,000 + 3x

⇒ 100,000 + 450,000

⇒ $550,000

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Answer:

D. 9.7

Step-by-step explanation:

9.382

9.470

9.090

9.700

Answer:

d. 9.7

Step-by-step explanation:

if you add 0s to each of the answers, itll make sense. For instance:

A. 9.382

B. 9.470

C. 9.090

D. 9.700

Greetings!

This is how your double number line should look:

 (lbs)     0      1       2      3     4      5

              ↓-----↓-----↓-----↓-----↓-----↓

              0    3.5    7    10.5  14   17.5          (dollars)

Hope this helps!  

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=37.68 \end{cases}\implies 37.68=2\pi r\implies \cfrac{37.68}{2\pi }=r \\\\\\ \stackrel{assuming~\pi =3.14}{\cfrac{37.68}{2(3.14)}}=r\implies \boxed{6=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi (6)^2\implies A=36\pi \implies A\approx 113.10[/tex]

Answer:

x = -8

QR = 6

PR = 9

Step-by-step explanation:

Alrighty, this one has a lot of steps. We have to think about this logically.

The length of PR is x + 17, and the length of PQ is 3, and the length of QR is 2x + 22.

The length of PR could also be written as the length of PQ + QR, which gives us the formula PR = PQ + QR. This allows us to put all our information into one formula to solve for x.

PR = PQ + QR

x + 17 = 3 + 2x + 22

17 - 3 - 22 = 2x - x

-8 = x

so x = -8

Now we can use that x and plug it into the other two formulas:

QR = 2x + 22

QR = 2(-8) + 22

QR = -16 + 22

QR = 6

And now we plug x into PR:

PR = x + 17

PR = -8 + 17

PR = 9

Alternatively, we can use our other formula, PR = 3 + QR, which gets us the same answer:

PR = 3 + QR

PR = 3 + 6

PR = 9

Answer:

Step-by-step explanation:

Are you asking for a pattern? The answer is 16

4+4=8

8+4=12

12+4=16

The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has broader use in mathematics for example sum of natural numbers.

As per the given sequence,

4,8,12,..

Now, 8 - 4 = 4

12 - 8 = 4

Since the common difference is the same thus it will be an arithmetic expression.

The nth term of AP is given as,

a(n) = a + (n - 1)d

Here, a is the first term, and d is a common difference.

The fourth term of the given sequence is,

a(4) = 4 + (4 - 1)4

⇒ 4 + 12 = 16

Hence "The given sequence 4, 8, 12, ... is an arithmetic expression thus the next term will be 16".

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Answer:

Step-by-step explanation:

D 36 is the answer

Answer:  b ≤ -18

Step-by-step explanation:

Isolate the variable by multiplying both sides by -3.  Remember that when you multiply or divide by a negativem the symbol flips.

[tex]\dfrac{b}{-3}\geq6\\\\\\\dfrac{b}{-3}(-3)\geq6(-3)\\\\\\\large\boxed{b\leq-18}[/tex]