Last week, Russell bought 8 pizzas and 10 cakes for a total of $160.
Today, Russell bought 26 pizzas and 8 cakes for a total of $226.
Assuming neither item has changed in price, what is the cost of a pizza in dollars?

Answers

Answer 1

Answer:

$5

Step-by-step explanation:

Create a system of equations where p is the cost of a pizza and c is the cost of a cake

8p + 10c = 160

26p + 8c = 226

Solve by elimination by multiplying the top equation by -4, and the bottom equation by 5

-32p - 40c = -640

130p + 40c = 1130

Add these together:

98p = 490

p = 5

So, the cost of a pizza is $5


Related Questions

Tell whether the lines through the given points are parallelperpendicular, or neither Line 1: (1, 0), (7, 4) Line 2: (7, 0) , (3, 6) The slope of line 1 is The slope of line 2 is

Answers

Answer:

The lines are perpendicular

Step-by-step explanation:

We determine whether lines are parallel or perpendicular by getting their slopes

For line 1; (1, 0), (7, 4)

Slope m = 4-0/7-1

M1 = 4/6

M1 = 2/3

Hence the slope of M1 is 2/3

For Line 2; (7, 0) , (3, 6)

M2 = 6-0/3-7

M2 = 6/-4

M2 = -3/2

Take the product of the slopes

M1 * M2 = 2/3 * -3/2

M1M2 = -1

Since the product of their slope is -1, hence the lines are perpendicular

How do you factor a quadratic equation completely?

Answers

Answer:

A Method For Simple Cases

Step 1: Find two numbers that multiply to give ac (in other words a times c), and add to give b.

Step 2: Rewrite the middle with those numbers:

Step 3: Factor the first two and last two terms separately:

Step-by-step explanation:

What is the area of the following trapezoid? 14 mm 10 mm 28 mm 210 mm 2 280 mm 2 O 420 mm 2 O 140 mm 2​

Answers

Answer:

210 mm2

Step-by-step explanation:

you add both the bases and then height ;)

Maggie has $16 to spend on lunch for the week. she has spent $4 so far. which inequality shows how much she can spend for the rest of the week?

Answers

She can spend less than or equal to $12

Ken wants to buy two shirts. The original price of the first shirt is $34, and the original price of the second shirt is $28. Ken will use one of the two discount coupons shown to buy the shirts. Coupon 1 Coupon 2 Buy one shirt at the original price and receive half off the price of a second shirt of equal or lesser value. Take 20% off the original price of each shirt, Based on this information, which statement is true?​

Answers

78 with coupons for the answer!

20 Observa el trapecio isosceles PQRS en el plano cartesiano.

0

1

2

3

4

5

6

7

8

9

10

A. ¿Cuántas unidades mide el lado QR?

B. ¿Cuál es la distancia entre los puntos PyR?

Recuerda contestar todas las partes de la pregunta en el espacio provisto.

Answers

Answer:

The answer is below

Step-by-step explanation:

La distancia entre dos puntos A(x₁, y₁) y B(x₂, y₂) en el plano cartesiano se da como:

[tex]AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

El paralelogramo que se muestra en el diagrama tiene vértices en P (3, 6), Q (7, 6), R (9, 2) y S (1, 2)

a) La distancia entre Q y R viene dada por:

[tex]QR=\sqrt{(9-7)^2+(2-6)^2} =\sqrt{20}=2\sqrt{5} \ units[/tex]

b) La distancia entre P y R viene dada por:

[tex]QR=\sqrt{(9-3)^2+(2-6)^2} =\sqrt{52}=2\sqrt{13} \ units[/tex]

A rectangle has a perimeter of 18. The height of the rectangle is 4 cm. What is the area of the rectangle?

Answers

Answer:

20

Step-by-step explanation:

Perimeter of rectangle= 2l+2h so 2l+2(4)=18. SO 2l=10. l=5

Area=bh

(5)(4)=20cm

20 cm, I think
The perimeter is 18 and the height is 4 cm.

4 cm x 2 = 8
We are multiplying it by two because there are two side in a rectangle that are the same height

18 - 8 = 10
We are finding the length of the rectangle
10\2 = 5
The length of the rectangle is 5

5 x 4 = 20
That is the area

PLEASE HELP DUE AT MIDNIGHT!

Answers

Answer:

D or A i think

Step-by-step explanation:

pls mark brainliest

Answer:

B. Angle 2 and Angle 7 are alternate interior angles.

Step-by-step explanation:

Angle 2 and Angle 7 are actually alternate exterior angles. They are on opposite sides of the transversal and so the "alternate" part is correct, however, alternate interior angles are ones on the inside of the transversal, like angles 4 and 5.

Find the slope of the line graphed

Answers

Answer:

I believe it is 2

rise and run concept

Solve 3x - y = 3 and 2x - y = 2 by substitution method

Answers

Answer:

x = 1

y = 0

Step-by-step explanation:

3x - y = 3

2x - y = 2 , then y = 2x - 2

substitute for y:

3x - (2x - 2) = 3

combine like terms:

x + 2 = 3

subtract 2 from both sides of the equation:

x = 1

y = 2(1) - 2 = 0

Answer:

x=5, y=8

Step-by-step explanation:

let 3x-y=3 be [1]

and 2x-y = 2 be [2]

Change up [2] to:

2x=2+y

2x-2 = y and name this [3]

Sub [3] into [1]

3x-(2x-2)=3

3x-2x-2=3

x-2=3

x=5

Sub x=5 into [3]

2(5)-2=y

10-2=y

8=y

Square Areas

The dots on the grid are all one unit apart.

1. The square shown here can be described

as a 3/5 square. Find its area.

.

Show all your reasoning

Answers

Answer:

The area will be "34 unit²".

Step-by-step explanation:

The diagram is missing throughout the given question. Below is the figure attached.

According to the question,

The side of squares will be:

=  [tex]\sqrt{(5)^2+(3)^2}[/tex]

=  [tex]\sqrt{25+9}[/tex]

=  [tex]\sqrt{34} \ units[/tex]

Hence,

The area of square will be:

=  [tex](side)^2[/tex]

=  [tex](\sqrt{34} )^2[/tex]

=  [tex]34 \ unit^2[/tex]

An item is regularly priced at $80 Barbado add a discount of 25% off the regular price how much did Bob pay

Answers

Answer: $60

Step-by-step explanation:

Given

The price of an item is $80

The discount on it is 25%

Net payable price =Regular Price- discount

[tex]\Rightarrow \text{Net Payable Price(P)}=80-25\%\ \text{of}\ 80\\\Rightarrow P=80(1-0.25)=80\times 0.75\\\Rightarrow P=\$60[/tex]

(Someone help please)

Put these numbers in order, from least to greatest.

3.5

-1

4.8

-1.5

-0.5

-4.2

0.5

-2.1

-3.5

Answers

Answer:

-4.2,-3.5,-2.1,-1.5,-1,-0.5,0.5,3.5,4.8

Answer:

0.5, 3.5, 4.8, -0.5, -1, -1.5, -2.1, -3.5, -4.2

Step-by-step explanation:

hope this helps :)

Card
#3
Find the area of the shaded region
shape: triangle
2
6 cm
shapesquare
Area formula:
Note: Round to the Final Answer
nearest hundredth (include Units!)
Checked by Teacher

Answers

Answer:

19,27 cm^2

Step-by-step explanation:

area of triangle = (6 x 3)/ 2 = 9 cm^2

circle area : 3^2 x 3,14 = 28,27 cm^2

area of shaped region = 28,27 - 9 = 19,27 cm^2

Write the equation of the line graphed below.

Answers

Answer:

x=1

Step-by-step explanation:

What is the decimal equivalent of

5
6
?



1.2

− 1.2


0.8
¯
3
− 0.8 3 ¯
0.8
¯¯¯3
0.8 3 ¯ 0.8\3
1.2

Answers

Answer:

kwkwkjwsjsjsssjsj

Step-by-step explanation:

ksksossoslsksmssmmssmsk

What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?

Answers

Answer:

Step-by-step explanation:

1.) Find the slope

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}[/tex] = m

2.) Use the  slope-point form for a line

[tex]y-y_0=m(x-x_0)[/tex]

Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]

but your equation is y= 5/4x+1

Graph + > -1.
+
3
-5
+
4 5
-4
-3
-2
-1
0
1
2
Switch direction
Make circle open

Answers

You have the right idea but the endpoint is at the wrong location. Instead, the green dot should go at -1. The shading is to the right. We use a closed filled in circle here (instead of an open hole) to tell the reader "include the endpoint". So -1 is part of the solution set.

In short, the graph consists of a closed filled in circle at -1 with shading to the right. This visually describes all values that are larger than -1, or equal to -1.

the actor is 10

your welcome

What is the scale factor of the dilation from A to B?

Answers

Answer:

1

Step-by-step explanation:

The scale factor of the dilation from A to B  is, 1.67

What is the scale factor ?

Scale factor is a mathematical term, which we use to scale 2-dimensional and 3-dimensional shapes. Scale factor is a measure of similar figures. Those figures who look the same but are in different sizes.

For example, Two spheres look similar but could have different radii.

Given that,

Two parallelograms

A & B

First one has side length = 4.5 unit

Second one has side length = 7.5 unit

For calculating scale factor, we need to found ratio of two sides length

Scale factor  =  7.5/4.5

                     =  1.66666

Hence, the scale factor is 1.67

To know more about Scale factor check:

https://brainly.com/question/26903822

#SPJ2

PLEASE HELP! QUICK EASY POINTS!! LOOK AT THE IMAGE!

Answers

the answer should be 0.2 and 11.8 :) i hope this helps!

Answer:

0.2 and 11.8

Step-by-step explanation:

Venita is sewing new curtains. The table below shows the relationship between the number of stitches in a row and the length of the row.

Sewing
Number of stitches
Length (cm)
5
1
15
3
20
4
30
6

What is the relationship between the number of stitches and the length?

Answers

5:1
5 stitches will be in a 1 cm row

Answer:

The number of stitches is 5 times the length.

Step-by-step explanation: i took edge

Select the correct answer from the drop-down menu. A line with a slope of -2 crosses the y-axis at (0, 3). The equation of the line is . A. -3x + y = 3, B. 3x + y = 2 C. 2x + y = 3 D. 2x + y = 2

Answers

The answer is B.3x+y=2
Explanation: When graph A has the crosses on the y axis(0,3) but it doesn’t have a slope of -2 since it run from left to right. But B tun from right to left making it negative.
Can u give me brainliest please? I would appreciate it and I hope this helps.

A coat is on sale for 30% off the original price of 120$.what is the amount of discount

Answers

Answer:

36

Step-by-step explanation:

You do 120 multiplied by .3 to get 36. This makes the discount amount is $36 which also means you only pay $84 for the coat.

I WILL GIVE BRANLIEST HELP FAST DUE IN 10 MINS 56yx^3-32yx+16y

Answers

Answer:

8y(7x^3-4x+2)

Step-by-step explanation:

Group and factor out the greastest common factor then combine

Answer:

this is my alt here ya go champ

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Answers

Answer:

84 ounces of pure gold

Step-by-step explanation:

Jess has 60 ounces of an alloy that is 40% gold. How many ounces of pure gold must be added to this alloy to create a new alloy that is 75% gold?

Pure gold = 100% gold

Let the number of ounces of pure gold = x

Hence, we have the equation

40% × 60 ounces + 100%× x ounces = 75%(60 + x)ounces

= 0.4 × 60 + 1x = 0.75(60 + x)

= 24 + x = 45 + 0.75x

Collect like terms

x - 0.75x = 45 - 24

0.25x = 21

x = 21/0.25

x = 84 ounces

Therefore, we need 84 ounces of pure gold

84 ounces of pure gold must be added

The first is to write out the parameters

Jess has 60 ounces of alloy

40% of this alloy is pure gold

The number of ounces that should be added can be calculated as follows;

Let y represent the unknown

40/100(y)(60) + 100/100(y)= 75/100(60+y)

24 + y= 0.75(60+y)

25 + y= 45 + 0.75y

24 - 45= 0.75y -y

-21= -0.25y

y= 21/0.25

y= 84

Hence the number of ounces of pure gold required is 84 ounces

Please see the link below for more information

https://brainly.com/question/3922146?referrer=searchResults

PLEASE HELP ASAP

An isosceles trapezoid has an area of 25 square units and a height of 5 units. Find the sum of the bases of the trapezoid.

Complete your work in the space provided.

Answers

Answer:

5 units because 5 times 5 is 25

The temperature at 6 a.m. was -12°F. At 11 a.m. the temperature was 0°F. Which of the following shows the temperature change from 6 a.m. to 11 a.m.?

Answers

Answer:7 - 9 = -2

Step-by-step explanation:

4. Asia is designing a triangular-shaped window with a height of 15 inches and

an area of 135 square inches. What is the length of the base of the window?

Answers

Answer:

18in

Step-by-step explanation:

Given data

Height h= 15 in

Area= 135 in^2

The expression for the area is given as

Area= 1/2 Base * Height

substitute

135= 1/2* Base*15

135= 7.5 Base

Base= 135/7.5

Base=  18 in

Hence the base is 18in

find l of the following cone ​

Answers

Answer:

[tex] l = \sqrt{261}\: in[/tex]

Step-by-step explanation:

Height of the cone h = 15 in

Radius of the cone r = 12/2 = 6 in

We need to find slant height (l) =?

[tex] \because l = \sqrt{ {r}^{2} + {h}^{2} } \\ \\ \therefore l = \sqrt{ {6}^{2} + {15}^{2} } \\ \\\therefore l = \sqrt{36 + 225} \\ \\\therefore l = \sqrt{261} \\ [/tex]

Answer:

l = √261 in

Step-by-step explanation:

Hope this helps

Please Help!!!!!! You have twice as many nickels as pennies. you have $1.10. how many of each coin do you have? Solve each problem using a system of equations.

Answers

There are 20 nickels and 10 pennies.

20 cents x 5 is $1.00 and 10 cents x 1 is 10 cents so it is $1.10 because a nickel is 5 cents so 20x5 is a dollar and a penny is worth 1 cent and 10 pennies is 10 cents so $1.00+$0.10=$1.10 brainliest is appreciated! :)
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