At a local pizza shop, large pizzas cost $14.50 and small pizzas cost $9.00. On Thursday, the number of large pizzas sold was 3 less than twice the number of small pizzas sold. The total value of all pizzas sold was $640.50. How many of each type of pizza did the pizza shop sell?

Answers

Answer 1

Answer:

Small pizzas = 21

Large pizzas = 39

Step-by-step explanation:

The number of small pizzas sold be x

So, the number of large pizzas sold be 2x - 3

And the total value is $640.504

Now the equation would be

$14.50x + $9 × (2x - 3) = $640.50

$14.50x + 18x - $27 = $640.50

$32.50 = $640.50 + $27

$32.50x = $667.50

x = 21

Now the large pizzas is

= 2 × 21 - 3

= 39

The same is to be considered


Related Questions

Can you find a number that satisfy the following property?
a. If you multiply the number by 2 and add 4, the result you get will be the same as three time the number decreased by 7.

Answers

Answer:

11

Step-by-step explanation:

Let the number be x.

Then by the question,

2x+4 = 3x-7

x=11

Answer:

Let the no. be x

then according to the question,

[tex](x \times 2) + 4 = 3x - 7[/tex]

[tex]2x - 3x = - 7 - 4 \\ = > - x = - 11 \\ = > x = 11[/tex]

From Jacksonville to Washington is 711 miles. By bus it takes 3 hours more to travel to Washington than it takes by train. The train from Jacksonville to Washington travels at 79 mph, while the bus travels at 59.25 mph. Find the time it takes to travel to Washington by train, and by bus.

Answers

Answer:

Train =9 hours

Bus =12 hours

Step-by-step explanation:

Find attached the solution

Let the time taken by train be x

So the time taken by bus = 3+x

Speed of train =79 mph

Speed of bus = 59.25mph

If John drove 210 miles in 3 hours, how far will he have
driven in 4.5 hours?

Answers

Answer:

3hours and 15 mins

Step-by-step explanation:

210 divied by 3=70

70=per hour

4 hours=280

70 divied by 2= 35

.5=35

280+35=315

315 miles in 4.5 hours

The value of (-1728)+ V324 is​

Answers

-1710

im pretty sure

equation represents a line which is parallel to the line 3y-x=-15?

Answers

Answer:

Any equation that has the same slope

Step-by-step explanation:

If two li es have the same slope that means they will never intercept

does anyone know this

Answers

Answer:

A

Step-by-step explanation:

when you open the brackets you do 5 to the power of 5 and X to the power of 5

Suppose there is a 1.7f drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 49.9f what will be the temperature when the plane reaches am altitude of 4,000ft?? The temperature will be_____F (type an integer or a decimal)

Answers

Answer:

[tex]43.1 ^{\circ}F[/tex]

Step-by-step explanation:

Give that for every 1000 feet increase in the height there is a drop of [tex]1.7 ^{\circ}F[/tex] in temperature.

So, the rate of temperature drop with respect to height, R = 1.7/1000 [tex]^{\circ}F/\text{ft}[/tex].

If the change in height is [tex]\Deltah[/tex][tex]\Delta h[/tex] feet, the temperature drop,

[tex]\Delta T= \Delta h R \;^{\circ}F\cdots(i)[/tex]

The temperature on the ground is 49.9 [tex]^{\circ}F[/tex].

At the ground, the height is 0, so the change in height, \Delta h when the plane reaches an altitude of 4,000 feet, is

\Delta h =4000-0=4000 feet

Now, from equation (i), the temperature drop

[tex]\Delta T= 4000 \times \frac {1.7}{1000}=6.8\;^{\circ}F.[/tex]

Hence, the temperature at an altitude of 4000 feet [tex]= 49.9-6.8=43.1 \;^{\circ}F[/tex].

5 + 3 (y - 4 ) < 5 ( y +2 ) - y

Answers

The solution to the inequality is [tex]y[/tex] > [tex]-17[/tex]

PLEASE HELP ME GIVING 50 POINTS!!! A fifteen passenger van is rented for a family vacation. The van rental is $75.00 per day, plus a $160.00 insurance fee. Which inequality could be used to find x, the number of days the car be rented if they want to spend less than $760.00 on the van rental?

Answers

Answer:

75x+160<760

Step-by-step explanation:

uhh it should be that if it´s not i´m sorry

Answer:

75x+160>760

Step-by-step explanation:

Find the slope of the line. REMEMBER: Slopes must be simplified.

Answers

Answer: 2

Step-by-step explanation:

Answer:

ill help

Step-by-step explanation:

Fill in the blank for each part below.

1) The slope is...
A. zero
B. Undefined

2) The equation is...
A. y=-1
B. X=-1

Answers

these are the answers to both
1. A
2. A

What is the sum of the measures of angles 2 and 3? Explain your answer.

Answers

Answer:

Sum of angles 2 and 3 will be equal to sum of angles 1 and 4.

As per the opposite angle theoreom: "When two lines cross, four angles are created and the opposite angles are equal" Here:

Angle 1 is opposite of angle 3Angle 2 is opposite of angle 4Angle 2+3 is opposite of angle 1+4

12) Which name we can give to these triangle

Answers

Answer:

The first one is isosceles and the second one is scalene.

This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.

Answer:

obtuse triangle and scalene triangle (sana nakatulog sayo)

Another question to get brainlest if you answer this and another one i will give you brainlest:)

Answers

Answer:

Step-by-step explanation:

1: 10

2: 100

3: 1000

4: 10000

5:100000

6:1000000

7:10000000

8:100000000

9:1000000000

9.6 times 10 to the ninth power is...

0:9.6

1:96

2:960

3:9600

4:96000

5:960000

6:9600000

7:96000000

8:960000000

9:9600000000

the second equation is 2000 so then i did this

9600000000

             2000

______________

480000

which is in decimal form i believe is...

4.8 x 10 to the sixth power i hope its right and it helped :)

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[tex](9.6 \times {10}^{9} ) \div (2 \times {10}^{3} ) = [/tex]

[tex] \frac{9.6 \times {10}^{9} }{2 \times {10}^{3} } = \frac{96 \times {10}^{ - 1} \times {10}^{9} }{2 \times {10}^{3} } = \\ [/tex]

[tex] \frac{96}{2} \times {10}^{9 - 1} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8} \times {10}^{ - 3} = \\ [/tex]

[tex]48 \times {10}^{8 - 3} = [/tex]

[tex]48 \times {10}^{5} = [/tex]

[tex]4.8 \times {10}^{6} [/tex]

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Thus the correct answer is the second option.

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What is 64^2/4 in a fraction? ​

Answers

Answer:

128/4 or 32

Step-by-step explanation:

1=-11+n
Please help me

Answers

Answer:

n=12

Hope this helps!!!!!

1+11n is the answer because it is

Após recuperar-se de uma cirurgia, o treinador da corredora Andrea estipulou um plano de treinamento diário: correr 500 metros no primeiro dia e aumentar 200 metros por dia, a partir do segundo, até que ela atinja 10 km. Andrea pretende correr 10 km na maratona do Rio de Janeiro, no início do próximo ano. Em quantos dias de treinamento Andrea atingirá 10 km?

Answers

Explicación paso a paso:

La distancia recorrida el primer día = 500 m

Si aumenta la distancia en 200 m diariamente, entonces el total corrido diariamente formará una progresión aritmética con el último término de 10 km (10,000) como se muestra;

500, (500 + 200), (500 + 200 + 200) ... 10,000

500, 700, 900 ... 10,000

para que sepamos el número total de días usados ​​para la carrera, usaremos la fórmula para calcular el enésimo término de una secuencia aritmética como se muestra;

[tex]T_n = a+(n-1)d[/tex] where;

n es el número de términos

a es el primer término de la secuencia

d es la diferencia común

Dado a partir de la secuencia:

a = 500

Tn = 10,000

d = 700-500 = 900-700 = 200

Sustituir en la fórmula y calcular el valor de n

[tex]10,000 = 500+(n-1)*200\\10,000 = 500+(200n-200)\\10,000 = 500-200+200n\\200n = 10,000-300\\200n = 9,700\\n = 9,700/200\\n = 48.5[/tex]

Andrea habría alcanzado los 10.000km tras 48,5 días de carrera

Adam can assemble a furniture set in 5 hours. If his sister
Maria helps, they can finish it in 3 hours. How long will it
take Maria to do the job alone?

Answers

Answer:Adam:5 hours.Adam and Sister:3 hours.Maria:1 and half hour.I hope I am right

It takes Maria 7.5 hours to assemble a furniture set alone.

Let x represent the amount of time in hours that it takes Maria to assemble a furniture.

Given that it take Adam to assemble a furniture set in 5 hours. If his sister

Maria helps, they can finish it in 3 hours, hence:

3 hours (1 / 5hour) + 3 hours (1 / x) = 1

3/5 + 3/x = 1

3/x = 2/5

x = 7.5 hours

It takes Maria 7.5 hours to assemble a furniture set alone.

Find out more at: https://brainly.com/question/21105092

do u do all subjects

Answers

Answer:

most of them

Explanation:

Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 8 ⇒ 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8 Take the square root of both sides to get the solutions

Answers

Answer:

Step-by-step explanation:

Given  x^2 - 16x + 60 = -12

Using the completing the square method to find x;

subtract 60 from both sides

x2 - 16x + 60-60 = -12-60

x2 - 16x  = -72

Add square of the half of the coefficient of x to both sides

x2 - 16x + (1/2(-16))²  = -72 +  (1/2(-16))²

x^2 - 16x +64 = -72+64

(x-8)² = -8

Take the square root of both sides

√(x-8)² = √-8

x - 8 = ±√8i

x =  ±√8i+8

x =  ±2√2i+8

The solution of the given equation is:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Given that:

Equation:  [tex]x^2 - 16x + 60 = -12[/tex]

Simplify the above equation as:

x² - 16x + 60 = -12

x² - 16x = -12 - 60

x² - 16x = -72

Add 64 to each side of the equation to complete the square.

x² - 16x + 64 = -72 + 64

x² - 16x + 64 = -8

Write x² - 16x + 64 as (x - 8)² since it is a perfect square trinomial.

(x - 8)² = -8

Take the square root of both sides to get the solutions.

[tex]x - 8 = \±\sqrt{-8}\\x = 8\±\sqrt{-8}\\x = 8+\sqrt{-8}\\x = 8-\sqrt{-8}[/tex]

where i is the imaginary unit.

Hence, the value of x are:  [tex]x = 8+\sqrt{-8}[/tex]  and  [tex]\\x = 8-\sqrt{-8}[/tex].

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answers

Answer:

[tex]y=\frac{-1}{3}x-4[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

[tex]m=\frac{-2-(-7)}{-6-9}[/tex]

[tex]m=\frac{-2+7}{-15}[/tex]

[tex]m=\frac{5}{-15}[/tex]

[tex]m=\frac{-1}{3}[/tex]

[tex]y=\frac{-1}{3}x+b[/tex]

Step 3: Find y-intercept b

[tex]-7=\frac{-1}{3}(9)+b[/tex]

[tex]-7=-3+b[/tex]

[tex]-4=b[/tex]

Step 4: Write linear equation in slope-intercept form

[tex]y=\frac{-1}{3}x-4[/tex]

What is the value of sec A (include steps)

Answers

Answer:

17/15

Step-by-step explanation:

Sec A = 1/ Cos A

Cos A = Adjacent / Hypotenuse

1/Cos A = Hypotenuse / Adjacent

So, Sec A = Hypotenuse/Adjacent

= AB/AC

= 17/15

Answer:

17/15

Step-by-step explanation:

Secant is the inverse of cosine.

Cosine is the adjacent side divided by the hypotenuse.

cos A = 15/17

sec A = 17/15

The cost to manufacture x number of chairs can be represented by the function C(x)=36x. In this context, what does the statement C(63)=2268 mean?

Answers

Answer:

The cost to manufacture 63 chairs, and that cost is 2268.

Step-by-step explanation:

Mathematical Models

The cost to manufacture x chairs is given as the math model:

C(x)=36x

For example, to manufacture 10 chairs, we write:

C(10)=36*10=360

According to the explained above, the statement C(63)=2268 means we are calculating the cost to manufacture 63 chairs, and that cost is 2268.


Solve the following inequality. Give the answer in interval form. -4c>2(5-2c)

Answers

Answer:

I believe it would be no real number

Step-by-step explanation:

If you use PEMDAS and multiply the (5-2c) by 2 you get 10-4c. You'd then have to isolate the c and move it over by adding 4c to each side, which would make the inequality 0>10 or even if you flipped it to be -10>0. Both of which are false.

y = x + z

Solve the following equation

Answers

Answer:

for y,   y = x + z

for x,   x = y - z

for z,   z = y - x

Plz mark brainliest:)

 

Answer:

[tex]x=y-z[/tex]

[tex]y = x + z[/tex]

[tex]z=y-x[/tex]

Step-by-step explanation:

[tex]y+(-z)=(x+z)+(-z)[/tex]

same as ^equation for all three ways

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]x[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

To solve this linear equation, we need to group all the variable terms on one side, and all the constant terms on the other side of the equation.

In our example,term [tex]z[/tex] will be moved to the left side. Notice that a term changes sign when it 'moves' from one side of the equation to the other.

Please help This is due today help please ASAP

Answers

Answer:

6:05 PM

Step-by-step explanation:

Answer:

6:05 P. M.

Step-by-step explanation:

3 hours after 2:45 pm is 5:45 pm. 20 minutes after 5:45 pm is 6:05 pm.

what 5-2 to the power of 5

Answers

Answer:

243

Step-by-step explanation:

(5-2) = 3

3 to the power of 5 is 3x3x3x3x3

3x3x3x3x3 = 243

Answer:

(5-2)^5= (3)^5 = 3*3*3*3*3 = 9*9*3 = 243

Step-by-step explanation:

Rachel needs to know if the triangle shown is a right triangle. Which equation could he use to help? 36 25 49 (triangle)
A. 136 + 25 = 49
B. 25 + 36 = 49
C. 252 + 362 = 492
D. 362-252 = 492​

Answers

a^2+b^2=c^2
36^2+25^2=49^2
Answer is A

for how many tickets is the cost the same for club members and non-members?​

Answers

Answer:

The cost will be the same for 2 club members as for 1 non-member.

Step-by-step explanation:

There will never be a number of tickets where the price for a given number of club members is the same for the same number of non-members.

However, if two club members purchase tickets, their cost is 2($3) = $6.

If one non-member purchases a ticket, the cost is 1($6) = $6.

WILL GIVE BRAINLIEST, COMMENT, LIKE, AND 7 POINTS TO BEST ANSWER
If you and a friend walked the same difference at different time, how can you tell who walked faster?

Answers

You would divide the distance by the amount of time it took for each friend. Whatever answer is lower, they walked faster. Please mark brainliest (:

Answer:

By the amount of time it took you guys to get there

Step-by-step explanation:

For example, if I start walking at 8:55 and arrive by 9:10, then it took me about 15 minutes to get there.

If you start walking at 9:10 and arrive by 9:20, it took you 10 minutes to get there meaning you walked faster.

Hope I helped.

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