The Talbot family got 2 pizzas and 4 drinks for $32. The Martinez family got 3 pizzas and 8 drinks for $52. How much does each pizza and each drink cost?

Answers

Answer 1

Answer:

Each pizza costs $12.

Each drink costs $2.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of each pizza.

y is the cost of each drinks.

The Talbot family got 2 pizzas and 4 drinks for $32.

This means that [tex]2x + 4y = 32[/tex]

The Martinez family got 3 pizzas and 8 drinks for $52.

This means that [tex]3x + 8y = 52[/tex]

Using the addition method, multiplying the first equation by -2.

-4x - 8y = -64

3x + 8y = 52

-4x + 3x - 8y + 8y = -64 + 52

-x = -12

x = 12

Each pizza costs $12.

2x + 4y = 32

2x + 4y = 32

4y = 32 - 2x

4y = 32 - 2*12

4y = 8

y = 2

Each drink costs $2.


Related Questions

find the point that lies on the line described by the equation below. y - 3 = 3 (x - 9)​

Answers

Answer: D

Step-by-step explanation: (9,3) is the given point in the equation where y-y1=m(x-x1)

Answer:

D. (9, 3)

Step-by-step explanation:

You can solve figure this out by plugging in the coordinates. The best guess would be that the answer is "D," and we can check:

y - 3 = 3(x - 9)

3 - 3 = 3(9 - 9)

0 = 3(0)

0 = 0

Since the answers match, answer "D," is correct.

I NEED HELP PLZ ANSWER CORRECTLY!!!!!!
(a,b) (less, greater)

Answers

Answer: The diameter of Pool A is 7.32 meters. So, the diameter of Pool B is greater, and the circumference is greater by 0.56 meters.

Step-by-step explanation:

The diameter of a circle is double its radius.

Pool A has a radius of 12 feet - double that would be 24 feet, its diameter.

Next, convert this to meters:

[tex]24 * \frac{0.305}{1} = 7.32[/tex]

The diameter of pool A is 7.32 meters.

The diameter of pool B is 7.5 meters.

The diameter of pool B is greater.

You can calculate the circumference of a circle by using this formula:

[tex]C = 2\pi r[/tex], where r is the radius.

Divide 7.5 by 2 to get your radius of Pool B, which is 3.75, and solve for C:

[tex]C = 7.5\pi \\\\C = 23.561[/tex]

Rounding to the nearest hundredth, the circumference for pool B is 23.56 meters.

Do the same thing for pool A:

[tex]C = 7.32\pi \\\\C = 22.996[/tex]

Circumference for pool A rounds to 23 meters.

Answer:

the diameter of pool a is 24. so, the diameter of pool b, is greater, and idk the rest

Evaluate each series

Answers

Answer:

solution is 147

work is shown

Solve the quadratic equation. x2+x−6=0

Answers

Answer:

The value of x is -3 and 2.

Step-by-step explanation:

First, you have to elaborate the equation :

[tex] {x}^{2} + x - 6 = 0[/tex]

[tex] {x}^{2} - 2x + 3x - 6 = 0[/tex]

Next, you can factorize it by taking out the like-terms :

[tex]x(x - 2) + 3(x - 2) = 0[/tex]

[tex](x + 3)(x - 2) = 0[/tex]

Lastly you have to solve it :

[tex]x + 3 = 0[/tex]

[tex]x = - 3[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex] or (look down)

Step-by-step explanation:

[tex]x^{2}[/tex]+[tex]x[/tex]−[tex]60[/tex] [tex]=[/tex] [tex]0[/tex]

Answer:

[tex]x = -3[/tex]

Lisa mows her neighbor’s lawns to earn money. She charges $8.75 per hour. She mows 8 lawns per month, and each lawn takes her 3.5 hours to complete.

How much does Lisa earn each month for her lawn mowing services?

$36.75
$38.63
$73.50
$245.00

PLS AWNSER ASAP

Answers

Answer:

$245

Step-by-step explanation:

8.75x3.5=30.625

30.625x8=245

Answer:

$245

is your answer

Step-by-step explanation:

Select one or more expressions that together represent all solutions to the equation. Your answer should
be in radians
Assume n is any integer
13 sin(2x) - 3 = 3

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

0.24+n*pi and 1.33+n*pi

Step-by-step explanation:

First you add three to both sides to get:

13sin(2x)=6

Then you divide by thirteen to both sides to get:

sin(2x)= 6/13

Next, you use a calculator to perform the inverse of sine to both sides, which is arcsin, and cancels out the sin.

arcsin(sin(2x))= arcsin(6/13) -> 2x= arcsin(6/13)

Arcsin(6/13)= approximately 0.48. But besides 0.48, there is another solution, because the y value of 6/13 can have two possible x values, both in quadrant one and two. We found the quadrant one value. The quadrant two value is just pi-0.48=2.66.

So, if we add two pi (360 degrees) to both of these solutions for n amount of times, then on a graph, we would end up on the same point every time. Each of those revolutions around the graph is one solution. These are the solutions:

2x= 0.48+n*2pi ->       0.24+n*pi

2x=2.66+n*2pi ->          1.33+n*pi

What is the range of the data below?
2
5
12
13

Answers

Answer:

The range Is 11

Step-by-step explanation: Range is the differance between the highest an lowest number, therefor you would use the highest number, 13 minus the lowest number witch is 2, so 13-2 is 11

Answer: 11

The range is the difference between the highest number and the lowest number

13 - 2 = 11 :)

I get an automatic 100 just for completing the assignment and I’m failing right now and really stressed. Should I just guess and receive all hundreds or actually work it out, it’s due at 12 and I have four more assignments.

Answers

Answer:

Just try your best for all of it, but make sure for each question, you at least have an answer, so the assignmet would count as complete.

Step-by-step explanation:

Answer:

submit whatever you have, guess all of it to get it all done. if you have time you can go back and check

Step-by-step explanation:

The price of a skirt is $25 more than the price of a t-shirt. The total price of 3 skirts and 8 t-shirts is $339. Find the price of the skirt.

Answers

Well the price of the 3 skirts is $75 and the mystery price of the shirt was $33 and added that 8 time equals $339

Which equation has no solution?

Answers

Answer:

B. 5 + 2(3+2x) = x + 3(x+1)

Step-by-step explanation:

5 + 2(3+2x) = x + 3(x+1)

5 + 6 + 4x = x + 3x + 3

11 + 4x = 4x + 3

4x - 4x = 3 - 11

0 = - 8, which is absurd.

Hence the equation 5 + 2(3+2x) = x + 3(x+1) has no solution.

Pleaseeeeee help i will mark brainlest

Answers

Answer:

e°=100°

Step-by-step explanation:

Sum of angles in a triangle= 180°

70°+30°+x°=180°

100°+x=180

Collect like terms

x°=180-100

x°=80°

e° is an exterior angle

exterior angle =180- interior angle

180°- x°

180°- 80°

=100°

e°=100°

Answer:

(d)100

explanation:

Because the outer angle equals to the measure of the inner angles

hope it helps :)

In ΔLMN, the measure of ∠N=90°, ML = 97, NM = 65, and LN = 72. What ratio represents the tangent of ∠L?

Answers

Answer:

tan ∠L = 65/72

Step-by-step explanation:

The tangent ratio is:

tan of angle x = opposite/adjacent

Looking from the perspective of angle L, find the opposite side.

This side is MN, measuring 65 units.

opposite = 65

Now let's find the adjacent side.

This side is LN, measuring 72 units.

adjacent = 72

Therefore, the tangent ratio of angle L is 65/72.

Answer:

65/72

Step-by-step explanation:

the sum of four consecutive integers is 34. find the least of the numbers.
a 6
b 7
c 8
d 5​

Answers

Answer:

7 and 8

Step-by-step explanation:

the no. are 7,8,9,10

A

n+1+n+2+n+3+n+4=34
4n+10=34
4n=24
n=6

Andrés y Ana María celebran hoy su aniversario de bodas con sus tres hijos. Para ello han decidido preparar una torta de nueces cuyos ingredientes son:

Answers

Answer:

1 taza de harina

1 taza de harina1 taza de nueces molidas

1 taza de harina1 taza de nueces molidas1 taza de azúcar

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos

1 taza de harina1 taza de nueces molidas1 taza de azúcar2 cucharadas de polvo para hornear4 huevos100 gramos de mantequilla

In ΔWXY, the measure of ∠Y=90°, WX = 67 feet, and XY = 41 feet. Find the measure of ∠X to the nearest degree.

Answers

Answer:

52 degrees

Step-by-step explanation:

If a =(9,18) and b=(1,12) what is the length of ab

Answers

Answer:

AB = 10

Step-by-step explanation:

Use the distance formula: √(12 - 18)^2 + (1 - 9)^2

√36 + 64

10

Answer:

10 units

Step-by-step explanation:

Use the distance formula. Substitute the values, (1-9)²+(12-18)²=100. The square root of 100 is 10.

A cylinder has a volume of 792cm3 and a radius of 6m find its height

Answers

Answer:

Step-by-step explanation:

7

Answer:

≈ 7

Step-by-step explanation:

the formula of the volume of a cylinder is:

V = π r^2 * h

792 = 3.14 * 6^2 *h

so first divide by 6^2 (or 36) on both sides so you can start to isolate h

36/36 = 1   and  792/36 = 22

22 = 3.14 *h

now divide by 3.14 to get h by itself

3.14/3.14 = 1   and   22/3.14  ≈ 7

the answer is approximately 7 and precisely 7.002817496

hope this helps!! <3

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.
The square has sides of length x cm.
The area of the circle is 56cm squared.
Work out value of x.
Give answer correct to 3 significant figures.

Answers

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of [tex]x[/tex] cm, then it's diagonal have the length of [tex]x\sqrt2[/tex] cm. Using the circle's area we can find the diagonal of the square, as shown below:

[tex]area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222[/tex]

Since the diameter of the circle is the same as the diagonal of the square, then:

[tex]x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971[/tex]

The side of the square is 5.971 cm

Answer:

5.97

Step-by-step explanation:

which describes the slope of this line?

Answers

I believe the the answer is zero.

Write 81 as a power in many ways as you can.

Answers

Answer:

9^2, 3^4

Step-by-step explanation:

9 x 9 = 81

3 x 3 = 9 x 3 = 27 x 3 = 81

Which prisms are similar to a prism with a length of 10 feet, a width of 6 feet, and a height of 12 feet?

Answers

Answer:

2

Step-by-step explanation:

How do measurements help us describe real-world objects?

Answers

Answer:

They help us describe real-world objects by coming in to play in several everyday life situations.

For example, its' easier to tell someone "I want 3 pounds of candy" instead of saying "I want armfuls of candy"

Hope this helps :)

Which line on the graph below has a slope of zero? On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.

Answers

Answer:

line q because it just is

Step-by-step explanation:

The line that has zero slope is horizontal in the coordinate plane. the correct option is (a).

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given options can be analysed one by one as follows,

(a) A horizontal line on a coordinate plane is parallel to x axis.

The angle the line makes with x axis is zero which implies the slope is also zero.

(b)The line in the given case has some positive value of slope.

(c) A vertical line makes right angle with x axis.

Thus, the slope is tan(90°) = ∞,.

(d) The line in the given case has some negative value of slope.

Hence, the horizontal line will have zero slope.

To know more about slope click on,

https://brainly.com/question/3605446

#SPJ3

En 16 días se consume 1/8 de la carga de una batería. ¿Cuantos se consumirá en 48 días?

Answers

Answer: 3/8

Step-by-step explanation:

1/8 of the charge of a battery is consumed in 16 days. How will be consumed in 48 days?

So, to answer this question we simple have to apply a proportion:

(1/8 )/16 = charge consumed /days

For 48 days= x /48 days

(1/8 )/16 = x/48

Solving for x (charge)

[(1/8 )/16] 48 = x

3/8 =x

Feel free to ask for more if needed or if you did not understand something.

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family wants to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inchesnts to use a scale of 1 inch equals = 6 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches. Width equals 12 inches width=12 inches

Answers

Corrected Question

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

Answer:

7 Inch

Step-by-step explanation:

The width of the room on the old blueprint = 12 Inches

Scale on the old blueprint:

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

Scale on the new blueprint

1 inch equals = 6 feet; which we can reorder as:

6 feet=1 inch

1 feet =1/6 Inch

Therefore:

42 feet = 42 x 1/6 Inch =7 Inch

Thus, the width of the living room on the new​ blueprint is 7 Inch.

The question is on a screenshot

Answers

Answer:

[tex]x=\frac{4}{15}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}[/tex]

Answer:

[tex] \frac{4}{15} [/tex]

2nd answer is correct

step by step explanation

[tex] \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Formula: C = ((pi x diameter) / 4) + r + r

C = ((pi x 6) / 4) + 3 + 3

C = (6pi / 4) + 6

C = 1.5pi + 6

C = 10.71 millimeters

Hope this helps! :)

Answer:

10.71mm

Step-by-step explanation:

First find the circumference of the circle

C=2πr

then divide by 4

then add the radius 2 times to get the quarter circle perimeter

Aisha reduced the size of her square driveway. She made one side 10 feet shorter and the other side 15 feet shorter. The smaller rectangular driveway will have an area of no more than 800 square feet.

Answers

Complete Question:

Aisha reduced the size of her square driveway. she made one side 10 feet shorter and the other side 15 feet shorter. the smaller rectangular driveway will have an area of no more than 800 square feet. write an inequality to represent the area of the smaller driveway.

Answer:

The inequality that represents the area of the smaller drive way is [tex]x(x-25) \leq 650[/tex]

Step-by-step explanation:

Let the original length of the sides of Aisha's square driveway be = x

She made one side 10 ft short, i.e. (x - 10) ft

She made the other side 15 ft short, i.e. (x - 15) ft

Since the sides are no longer equal, the driveway is now a rectangle

The question states that the smaller rectangular driveway will have an area of no more than 800 square feet

Area of a rectangle = length * Breadth

Area = (x - 10)*(x - 15)

[tex]Area = x^{2} - 15x - 10x + 150\\Area = x^{2} - 25x + 150[/tex]

Area ≤ 800

[tex]x^{2} - 25x + 150 \leq 800\\ x^{2} - 25x - 650\leq 0\\x(x-25) \leq 650[/tex]

Solving the above, x = 40.9 or -15.9

Since the length of a square cannot be negative, x = 40.9 ft

Answer:

(x-10)·(x-15)≤800

Step-by-step explanation:

imagine math

Solve the system of equations

-10x+3y=5
x=y-4

x=
y=

Answers

Answer:

So the answer is y=5 and x=1

What is the expression and value of "six less than the quotient of a number and two, increased by ten" when n = 8?

Answers

Answer:

n/2 - 6 + 10

8/2 - 6 + 10

4 - 6 + 10

= 8

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I just took the test, sorry if I didn't come on time.

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