8 slices of pizza and 5 sodas cost $36.50. 4 Slices of pizza and 10 sodas cost $37. How much does a slice of pizza cost? How much does a soda cost?


PLEASE HELP

Answers

Answer 1

Step-by-step explanation: If we use the variable p to represent our pizzas and s to represent our sodas, if our first equation states than 8 slices of pizza and 5 sodas cost $36.50, that's 8p + 5s = 3650.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00


Related Questions

Which statement is true about this data set?
3,1, 6, 4, 4, 4, 3, 2, 5, 3

Answers

Answer:

What statements?

Step-by-step explanation:

Is there a list of statements for this question? I would love to help!

This is the equation

5(15+3)

Answers

Answer:

90

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

The 5 would distribute into the 15+3 so that it would be (15x5)+(3x5)

And then you would get 75+15 which is 90

Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?

Answers

Answer:

$55.00

Step-by-step explanation:

$6.50 (8) + $3 = $55.00

Encontrar la media, mediana, moda y rango de los siguiente valores:
84,91, 72,68,87, 78,65,87,79.​

Answers

Answer:

La mediana es 79 la moda es 87 la media 87 y él rango es 26

Step-by-step explanation:

Espero te ayude ;)

The mode, median and the range are 87, 79 and 26 respectively

Given the data 84,91, 72,68,87, 78,65,87,79., we are to get the median, mode, and range of the data.

The mode is the number that occurs the most from the given data. Since 87 occurs twice, hence the mode is 87

The median is the number in the middle after arrangement. On arranging, we will have:

65, 68, 72, 78), 79, (84, 87, 87, 91

From the data, we can see that the median value is 79

Range  = Highest - lowest

Range = 91 - 65

Range = 26

Hence the range of the data is 26

Learn more on measure of central tendency here: https://brainly.com/question/17726154

A mooncake with two egg yolks costs $2 more than a mooncake with one egg yolk. The cost of 6 mooncakes with two egg yolks and 5 mooncakes with one egg yolk is $130.80. Find the cost of a mooncake with two two egg yolks.

Plz do in algebraic method

Answers

6(x + 2) + 5(x) = $130.80
6x + 12 + 5x = 130.80
11x = 118.80
x = 10.80, the cost of a moon cake with one egg yolk. Add 2 for the cost of the two egg yolk cake, and your answer is $12.80

6(12.80) + 5(10.80) = 76.80 + 54 = 130.80 ✅

A deck crane is used to lift very heavy objects
and can rotate 360°. Its working radius is 28
meters. What is its working diameter?

Answers

Answer:

56 meters

Step-by-step explanation:

diameter = 2(radius)

2 x 28 = 56

Solve the system of equations
negative x plus 2 y equals 2
minus x plus y equals negative 1

Answers

Answer:

Www

Step-by-step explanation:

Answer:

×2y aquel 2minus ×plus y equals negative1

Can anyone please help me with 13-16 I’m begging anybody

Answers

Answer:

-3

Step-by-step explanation:

An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.

13-16, 16 is larger than 13 so it's negative

5/7x1/2 please need help now

Answers

The exact form is 5/14

First try was incorrect
Hall is baking a pie. The radius of the pie is 17 inches. What is the
area of the pie?
Use 3.14 for pi and round your answer to the nearest tenth.
label required

Answers

Answer:

907.5

Step-by-step explanation:

Formula to find the area of a circle: πr²

πr² = 3.14 x 17²

     = 3.14 x 289

     = 907.46

     ≈ 907.5

Hope this helps :)


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

The answer to your problem is y=11x

A submarine travels at an elevation of -75 3/4 ft relative to sea level. Then its elevation changes by -16 3/8 ft. What is the new elevation of the submarine? Show your work

Answers

Answer:

The new navigation height of the submarine is -62.25 feet.

Step-by-step explanation:

Given that a submarine travels at an elevation of -75 3/4 ft relative to sea level, and then its elevation changes by -16 3/8 ft, to determine what is the new elevation of the submarine the following calculation must be performed:

3/4 ft = 0.75 ft

-75 x 0.75 = -56.25 ft

3/8 ft = 0.375 ft

-16 x 0.375 = -6 ft

-56.25 + -6 = -62.25

Thus, the new navigation height of the submarine is -62.25 feet.

3. Find the surface area of the cylinder. (1 point)
2009.6 in
401.9 in
803.8 in
602.9 in

Answers

Answer:

Option (3)

Step-by-step explanation:

Surface area of a cylinder is given by the formula,

Surface area = 2πr(r + h)

Here, r = radius of the circular surfaces

h = Height of the cylinder

From the figure attached,

r = 8 in.

h = 8 in.

Therefore, Surface area of the cylinder = 2π(8)(8 + 8)

                                                                 = 256π

                                                                 = 803.8 in² [If π = 3.14]

Option (3) will be the correct option.

i) Coordinates of point P

a) (1,1) b) (1,2) c) (2,1) d) (1,0)

ii) Coordinates of point Q

a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)

iii) Coordinates of point T

a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)

iv) (Ordinate of T) – (Abscissa of R)

a) -4 b) 4 c) 0 d) -2

v) (Abscissa of Q) – (Ordinate of S)

a) -4 b) 4 c) 2 d) -2

Answers

Given:

Five points P, Q, R, S ,T on a coordinate plane.

To find:

The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).

Solution:

From the given graph it is clear that the coordinates of given points are

P = (1,1)

Q = (-3,0)

R = (-2,-3)

S = (2,1)

T = (4,-2)

(i)

Coordinates of point P are (1,1).

Therefore, the correct option is (a).

(ii)

Coordinates of point Q are (-3,0).

Therefore, the correct option is (b).

(iii)

Coordinates of point T are (4,-2).

Therefore, the correct option is (c).

(iv)

Ordinate is y-coordinate and abscissa is x-coordinate.

Ordinate of T = -2

Abscissa of R = -2

(Ordinate of T) – (Abscissa of R) = -2 - (-2)

                                                     = -2 + 2

                                                     = 0

Therefore, the correct option is (c).

(v)

Abscissa of Q = -3

Ordinate of S = 1

(Abscissa of Q) – (Ordinate of S) = -3 - 1

                                                      = -4

Therefore, the correct option is (a).

Simplify: 7^6 divided 7^2

Answers

Answer:

The answer is 1/3

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

~Hoped this helped~

The answer to your question is “1/3”. Continue learning hope u have a amazing day/night :)

Fill in the missing number.
6 x 4 =(
x 4) + (3 x 4)

Answers

Answer:

6x4= 24

x4)+(3x4)=12

bsnskzifkznsnaksifi

The complete sentence is 6 x 4 =( 3 x 4) + (3 x 4)

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

6 x 4 =( x 4) + (3 x 4)

Now, split 6 as two equal quantities

6 = 3+ 3

So, 6 x 4 =24

( 3x 4) + (3 x 4)

= 12+ 12

= 24

Hence, LHS = RHS.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

There were 382 chairs in the music hall.Write a number greater than 382.

Answers

Answer:

383

Step-by-step explanation:

Si un ladrillo de adobe pesa 20kg. mas de la mitad de su peso. ¿Cuanto pesara un ladrillo y medio?​

Answers

Answer:

pesaria 2.25 kilos

explicacion

a) Dati cinci exemple de numere intregi mai mici ca zero.​

Answers

Answer:

Numerele întregi pozitive sunt toate numerele întregi mai mari decât zero: 1, 2, 3, 4, 5, .... Numere întregi negative sunt toate opusele acestor numere întregi: -1, -2, -3, -4, -5, .... Nu considerăm că zero este un număr pozitiv sau negativ. Pentru fiecare număr întreg pozitiv, există un număr întreg negativ, iar acești numere întregi se numesc opuse. De exemplu, -3 este opusul lui 3, -21 este opusul lui 21 și 8 este opusul lui -8. Dacă un număr întreg este mai mare decât zero, spunem că semnul său este pozitiv. Dacă un număr întreg este mai mic decât zero, spunem că semnul său este negativ.

Step-by-step explanation:

someone please help

What is the slope of the line shown below?
10
A. 3
61 (1,5)
B. 2
Oh
61,-1)
O c. -3
10
15
O D. -2
-102

Answers

Answer:

A. 3

Step-by-step explanation:

The formula for slope is (y2-y1)/(x2-x1), for two points (x1,y1) and (x2,y2) on the line.

Our points are (-1,-1) and (1,5):

(5-(-1))/(1-(-1))

6/2

3

The slope of the line shown below is 3.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

Points from the graph (1, 5) and (-1,-1).

So, the slope of line

= (-1 - 5)/ (-1 - 1)

= -6 / (-2)

= 3

Thus, the slope of line is 3.

Learn more about Slope here:

https://brainly.com/question/3605446

#SPJ5

16
Select the correct answer.
Which of these numbers are 11 units from 0 on the number line?
A: 0
B: +11
C: -11
O A.
A and B
O B.
A and C
O C.
B and C
OD. Conly

Answers

Answer:

b and c

Step-by-step explanation:

Kendall is Jamal's older brother. The sum of their age is 39 the difference of their age is 9. How old are Kendall and Jamal?
Write and solve the system of equations.

Answers

Answer:

Kendall is 24 and Jamal is 15.

Step-by-step explanation:

39 - 9 = 30

30 ÷ 2 = 15

15 is Jamal's age.

15 + 9 = 24

24 is Kendall's age.

guys i really need help I'm so lost​

Answers

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 raised to 4 =2×2×2×2 =16. ; 3 raised to 2 =3×3=9.

=16-9-2

=5

That's it , Very easy

Find the value of x in the triangle shown below.
5
12
Choose 1 answer:
x = 60
= V119
= 13
= 17

Answers

X will be equal to 13

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

30 POINTS PLUS BRAINLIEST PLEASE ANSWER THESE MATH QUESTIONS.ALL TROLL ANSWERS WILL BE REPORTED MUST HE DONE IN 1HR OR.LESS.

Answers

Answer:

4) wall = 114 ft^2

$118.56 to paint

5) 77 cm^2

Step-by-step explanation:

4) (15 x 8)-(2 x 3)=120-6=114 ft^2

114 x $1.04 = $118.56

5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2

Answer:

4:

114,$118.56

5. 77

Step-by-step explanation:

To find the area of the wall, you multiply 15 x 8, then subtract (2 x 3) from that answer.

15 x 8 = 120

120 - (3 x 2) =

120 - 6 = 114ft^2

To find the cost, multiply the area by the cost:

1.04 x 114 = $118.56

Since the side with 3.5 cm is congruent with another side, that means that side is also 3.5 cm. I like to break up the figure in this situation, into 2 rectangles. The first is 8 cm x 3.5 cm, and the other being 3.5 cm x 14 cm.

8 x 3.5 = 28 cm^2

14 x 3.5 = 49cm^2

Add together to get the area:

49 + 28 = 77 cm^2

Carol bought bananas for $0.50 per pound and 1 pint of strawberries for $2.25. If Carol paid $4.10, how many pounds, p , of bananas did she buy?

Which equation can be used to find p ?


A. .50p+2=4.10

B. .50p+2.25=4.10

C .50+2.25p=3.85

D. 2.75+.25p=4.10

Answers

Answer:

B. .50p+2.25=4.10

Step-by-step explanation:

The equation that need to determine the p is shown below:

Given that the bananas would be bought for $0.50 per pound and 1 pint of strawberries for $2.25

Now the total amount paid by Carol is $4.10

So, the equations would be

0.50p + 2.25 = 4.10

Therefore the option b is correct

1 4/5 divided by 2 7/10

Answers

Answer:

2/3

Step-by-step explanation:

In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.

So it would be 1 4/5 times the reciprocal of 2 7/10.

Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.

So 1 4/5 x 10/27 = 2/3

Answer:

2/3

Step-by-step explanation:

1 4/5 ÷ 2 7/10

Convert these into improper fractions

(Denomintaor × whole number + numerator)/denoninator

(5 × 1 + 4)/5

9/5

(10 × 2 + 7)/10

27/10

Now the equation says:

9/5 ÷ 27/10

Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction

9/5 × 10/27

Multiply the numerators and denominators separately

(9 × 10)/(5 × 27)

90/135

Simplify

Both 90 and 135 can evenly fit 15

90 ÷ 15 = 6

135 ÷ 15 = 9

6/9

This can still be simplified further

Both 6 and 9 can evenly fit 3

6 ÷ 3 = 2

9 ÷ 3 = 3

2/3

This cannot be simplified any further

Which of the following sets does NOT represent a function.
O {(1,9), (-1,-9),(2,9), (-2, -9) }
O {(1,-9), (2,-5), (-1,9), (-2,5)}
O {(1,9) (-1,5), (2, -9), (-2,-5) }
O {(1,9), (1,-9), (2,5),(2,-5) }

Answers

Answer:

last one, the same X cant have more than one Y.

Select all expressions that are equivalent to 64^2/3

Answers

Answer:

16

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

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