A breakfast menu liste 3 eggs with 2 sausage for $4.15 or 4 eggs with 1 sausage for $4.30 . What is the cost of 1 egg, and what is the cost for 1 sausage?

Answers

Answer 1

Answer:

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74

Step-by-step explanation:

Let the:

Cost of 1 egg = x

Cost of 1 sausage = y

A breakfast menu lists:

3 eggs with 2 sausage for $4.15

3x + 2y = 4.15......Equation 1

4 eggs with 1 sausage for $4.30 .

4x + y = 4.30...... Equation 2

y = 4.30 - 4x

We substitute 4.30 - 4x for y in Equation 1

3x + 2(4.30 - 4x) = 4.15

3x + 8.6 - 8x = 4.15

3x - 8x = 4.15 - 8.6

-5x = -4.45

x = -4.45/-5

x = $0.89

Solving for y

y = 4.30 - 4x

y = 4.30 - 4(0.89)

y = 4.30 - 3.56

y = $0.74

Therefore,

Cost of 1 egg = x = $0.89

Cost of 1 sausage = y = $0.74


Related Questions

Denver, Colorado is called " The Mile High City" because of it's elevation is 5280 feet above sea level. Someone tells you that the elevation of Death Valley, California is- 282 feet.

Answers

Answer:

A. 5,562 feet higher

B. 0 feet

Step-by-step explanation:

A. Calculation for how many feet higher is denver than death valley

Numbers of feet=5,280 feet-(- 282 feet)

Numbers of feet=5,280 feet+282 feet

Numbers of feet=5,562 feet higher

Therefore the numbers of feet higher is denver than death valley will be 5,562 feet higher

B. Since ocean level tend to have 0 feet which means that in a situation where you were standing close to the ocean what the elevation would be is 0 feet.

the graph of y=f(x) is shown below. what are all of the real solutions of f(x)=0

Answers

the solutions are x=-4 ; x=1 ; x=8

All real solutions of the function  y=f(x) are x = -4 and x = 4

What is a solution ?

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called solution of quadratic equation f(x) = 0. These solution gives values of x, and when we plot x and f(x), we'd see that the graph intersects the x-axis at its solution points.

we are Given graph in the attachment represents the function y = f(x)

Since Real solutions of the function shows all the points where the curve of the graph either touches or crosses the x-axis.

Thus the graph of the function touches and crosses at x = -4 and x = 4

Therefore, all real solutions of the function  y=f(x) are x = -4 and x = 4

Learn more about solutions of a equation here:

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The aquarium where Evan works has a special tank for the baby sharks. The tank is shaped like a rectangular prism and is 18 meters long by 15 meters wide. It is 8 meters from the bottom of the tank to the top. What is the volume of the shark tank?

Answers

Answer:

The volume of the shark tank is [tex]2160 m^3[/tex]

Step-by-step explanation:

The tank is in the shape of a rectangular prism.

The length of the tank, [tex]l=18[/tex] m.

The width of the tank, [tex]w=15[/tex] m.

The height of the tank, [tex]h=8[/tex] m.

We know that, volume of a rectangular prism [tex]=l\times w \times h[/tex].

So, the volume of the tank [tex]=18\times 15\times 8=2160 m^3[/tex]

Hence, the volume of the shark tank is  [tex]2160 m^3[/tex].

The sum of four consecutive integers is -26. What are the integers? A book has pases. ​

Answers

Answer:

In the same manner, the third integer can be represented as n + 2 {n + 2} n+2 and the fourth integer as n + 3 {n + 3} n+3. We can then translate “the sum of four consecutive integers is 238” into an equation.

Step-by-step explanation:

tamara has completed 60% of her practice time for the track meet. If she is expected to practice for 18h, how long has she already practiced?

Answers

Answer:

10h and 48min

Step-by-step explanation:

60*18=1080

1080/100=10.8

so 10.8h which means 10 hours and 48 min

answer these 2 questions if ur smart?!?!?

Answers

1. (4x+5y)(2x-3y)+3xy= 4x*2x-4x*3y+5y*2x-5y*3y+3xy=8x^2-12xy+10xy-15y^2+3xy= 8x^2+xy-15y^2

2. (2x^2+3)(4x+5)-8x(x^2-2)=2x^2*4x+2x^2*5+3*4x+3*5-8x*x^2+8x*2=

=8x^3+10x^2+12x+15-8x^3+16x=

=10x^2+28x+15

Answer:

1. [tex]8x^2+xy-15y^2[/tex]           2. [tex]10x^2 + 28x + 15[/tex]

Step-by-step explanation:

For Question 1:

[tex](4x + 5y) (2x - 3y) + 3xy[/tex]

= [tex]8x^2 - 12xy + 10xy - 15y^2 + 3xy[/tex]

[tex]=8x^2+xy-15y^2[/tex]       (cannot simplify any further)

For Question 2:

[tex](2x^2 + 3)(4x +5) - 8x(x^2 -2)[/tex]

[tex]=8x^3 + 10x^2 + 12x + 15 - 8x^3 + 16x[/tex]

[tex]=10x^2 + 28x + 15[/tex]         (cannot simplify any further)

The difference between 31 and a number is 7

Answers

Answer:

thirty-eight

Step-by-step explanation:

31+7= answer

Answer:

i think its either 38 or 24

Step-by-step explanation:

Which is the better value?

A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70

Answers

A. 6 ounces of hot cheetos

Answer:

B

Step-by-step explanation:

2.16/6 = 0.36 cents per 1 ounce

2.70/10 = 0.27 center per 1 ounce

Therefore B. 10 ounces of hot Cheetos for $2.70

HELPP ME I JUST HAVE A 67 IF I GET THIS ONE WORN GI HAVE A 50 AS A GRADE PLEASEE

Answers

Answer:

4,000 cm

Step-by-step explanation:

10,000 x 0.4

just do 10,000 x 4

(40,000)

and then move the decimal point one space to the left

(4,000)

The answer is 4000

10,000*0.4=4000

Jake said he can find 630 ÷ 10 by taking the 0 off of 630 to get 63. Jake finds 35.270 ÷ 10 using the same method and gets 35.27. Use the drop-down menus to complete the statement about why Jake is correct or incorrect.

Answers

Answer:

Jake is incorrect with his methodology for solving these problems

Step-by-step explanation:

Jake is incorrect with his methodology for solving these problems. This is because dividing a number by 10 requires moving the decimal point one digit to the left. When dividing 630 by 10, removing the zero works because by moving the decimal one digit to the left we would simply drop the zero and the decimal would not be needed leaving the answer as 63. However, this does not work on numbers that already have a decimal such as 35.270. This number divided by 10 would be 3.527 but simply removing the 0 like Jake states would give us the incorrect answer of 35.27

Answer:

Step-by-step explanation:

Answe please BEN..........

Answers

Answer:

its the first one

Step-by-step explanation:

t - 3 > -5

 +3  > +3

___________

t      >  -2

t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.

Answer:

t>-2

Step-by-step explanation:

Treat this like an equation and add -3 to both sides:

t>-2

The correct choice should be #1

Simplify: -x - 4x + 2

Answers

Answer:

5x+2

Step-by-step explanation:

:)

Answer:

16x little 2 on top - 40xy + 25y little 2 on top

Step-by-step explanation:

Please help, 20 points.​

Answers

Answer:

B

Step-by-step explanation:

3×+ 4y =24

3x -y = 3 It is just like algebra I might be wring but I tryed

B

Step-by-step explanation

3x + 4y = 24
3x - y = 3

Pls give me BRAINLIEST

How many super saiyans does it take to screw in a light bulb?

Answers

Answer:

bro just use ur hand

Step-by-step explanation:

Answer:

Probably a lot considering Vegeta couldn't safely break an egg :)

Step-by-step explanation:

HELP! Can someone please explain to me how to solve this question?
"At what point do the equations intersect? y = 25x + 54 and y = 15x + 14

Answers

Answer:

[tex](-3.1, -32.5)[/tex]

Step-by-step explanation:

Set the equations equal to each other: 25x+45=15x+14

Solve for x: 10x = -31

Solve for x: x=-3.1

Plug the x value back into one of the equations to find the value of y:

y = 15 (-3.1) +14

y = -32.5

Answer:

7,68

Step-by-step explanation:

y=2x+54

y=15x+14

you can do elimination so you need to multiply the x's by -15 and 2

y=-30x+54

y=30x+15

the x's are canceled out and you add the remaining

y=54. y=68

y=15

To find x you makes an equation of one of the equations given

68=2x+54

14=2x

7=x

what is the explicit rule for 64,67,70,73,76​

Answers

Answer: The answer is 3.

Step-by-step explanation:

64+3=67 67+3=70 Etc.

I need to pick up my work order and then I’ll send you the information

Please help!!!

composition of functions

g(x)=2x-5 h(x)=x^2-2

find g(h(-8))

Answers

Answer:

g(h(-8)) = 119

Step-by-step explanation:

Given

g(x)=2x-5h(x)=x²-2

To determine

g(h(-8)) = ?

In order to determine g(h(-8)), we need to determine h(-8) first

substituting x = -8 in h(x)=x²-2

h(-8) = (-8)² - 2

h(-8) = 64 - 2

h(-8) = 62

so

g(h(-8)) = g(62)

now substituting x = 62 in g(x)=2x-5

g(62)=2(62)-5

g(62) = 124 - 5

g(62) = 119

so

g(h(-8)) = g(62) = 119

Therefore,

g(h(-8)) = 119

Need help please asap

Answers

The diameter is 10.64ft

Answer:

the radius is 2.66ft

Step-by-step explanation:

my process of elimination:

first one: ❌ the radius is half of the length across (the dot) so 5.32ft divided by 2 it would be 2.66ft

sec. one: ❌ unlike the radius (which is half of the length across) the diameter is the full length across so the diameter would be 5.32ft

third one: ❌ actually almost tricked me then I remembered the circumference is for all around. this measurement only accounts for the diameter (5.32ft) and the radius (2.66ft)

fourth one: ✅simply was the truth. the radius is half of the diameter so if the diameter is 5.32ft then the radius is 2.66ft

I hope this helps I totally understand the struggles of math

. _ .
................​

Answers

Hey there!

I believe the answer to your question is 24.

If it's being reduced by 1/3, you are being left with 2/3, so we can take 2/3 of 9 and you get 6. Perimeter is adding up all the side lengths. Thus, we do 6 + 6 + 6 + 6, and that is 24.

Sorry for any confusion before, I didn't understand the problem before. Hope it helps! Have a great day, and sorry if it's late.

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

A square target is shown. A dart is dropped randomly onto the target. The dart is equally kely to hit any spot on the target
18 cm
3 cm
18 cm
3 cm
not drawn to scale
What is the probability that the dart will hit a spot in the shaded square?
och
D

Answers

Probability helps us to know the chances of an event occurring. The probability that the dart will hit a spot in the shaded square is 0.028.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The area of the dark area = 3cm × 3cm = 9cm²

The area of the white area = (18cm×18cm)-(3cm×3cm) = 315cm²

Now, the probability that the dart will hit a spot in the shaded square will be,

Probability = 9 / 315 = 0.028

Hence, the probability that the dart will hit a spot in the shaded square is 0.028.

Learn more about Probability:

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Which is an equivalent equation solved for t?
O te fry
O tufa
O t= a(f - V)
O t = v(f – a)

Answers

Answer:

[tex]\dfrac{v-u}{a}[/tex]

Step-by-step explanation:

The given equation should be:

v = u +at ...(1)

Where

u is initial velocity, v is final velocity, a is acceleration and t is time

We need to solve the above equation for t.

Subtract u from both sides.

v-u= u +at -u

v-u=at

Dividing both sides by a.

[tex]\dfrac{v-u}{a}=\dfrac{at}{a}\\\\t=\dfrac{v-u}{a}[/tex]

So, the expression for t is equal to [tex]\dfrac{v-u}{a}[/tex].

factor x^3 +7x^2−5x−35

Answers

Answer:

(x^2-5)(x + 7)

Step-by-step explanation:

Here, we want to factorize the given expression

That would be;

x^2(x + 7) - 5(x + 7)

= (x^2-5)(x+ 7)

Answer:

(x+7) (x^2 - 5)

Step-by-step explanation:

x

3

+7x

2

−5x−35

=x

2

(x)+x

2

(7)−5(x)−5(7)

=x

2

(x+7)−5(x+7)

Now we are left with a common factor of (x+7)(x+7)left parenthesis, x, plus, 7, right parenthesis, so we can factor it out:

\begin{aligned} &\phantom{=}x^2\purpleC{(x+7)}-5\purpleC{(x+7)} \\\\ &=\purpleC{(x+7)}(x^2-5) \end{aligned}

 

=x

2

(x+7)−5(x+7)

=(x+7)(x

2

−5)

Which has the greatest variance?
{5,5,5,5,5)
{1, 1, 1, 1, 21)
{1,3,5,7,9)
{3,4,5,6,7)

Answers

Answer

1,3,5,7,9

Step-by-step explanation:

Help asap ...................

Answers

Answer:

One: Median = 2

Two: Mean = 3.25

Step-by-step explanation:

One

Put the dots in order

1 1 1 2 2 3 3

There are seven groups altogether.

The middle one is a 2.

The median is 2.

Two

The mean is the average.

The average of the 4 groups is

1 3 6 3 = 13

The average is the sum of the dots.

13/4 = 3.25

PLSSSS HELPPPPPP ME WITH MATHHH

Answers

Answer:

x = 62

Step-by-step explanation:

If the triangle has two values that are the same like your 6s that means that they have the same angle, so you take the angle(56 degrees)  and subtract 180 and 56 making 124. You take 124 and divide it by 2. Making x =62.

The answer is x=62 for sure

Members of a softball team raised $1648.50 to go to a tournament. They rented a bus for $896.50 and budgeted $47 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Answers

Answer:

The number of players the team can bring to the tournament is 16.

Step-by-step explanation:

With the information provided, the equation would express that the total cost to go to the tournament is equal to the price to rent a bus plus the result of multiplying the amount per player for meals for the number of players.

Total cost=896.50+47x, where:

x is the number of players

Now, as you know that the softball team raised $1,648.50 to go to a tournament, you can replace the total cost with this number and solve for x:

1,648.50=896.50+47x

1,648.50-896.50=47x

752=47x

x=752/47

x=16

According to this, the answer is that the number of players the team can bring to the tournament is 16.

Answer:

Equation:  47x + 896.5 = 1648.5

X= 16

Step-by-step explanation:

Delta Math

Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Answers

Answer:

The answer is below

Step-by-step explanation:

Calvin school is 2.3 miles directly south of his house. After school, he takes a bus 1.8 miles west of his school to the sport complex.

a) What is the length of a straight line between calvins house and the sports complex? Round to the nearest tenth.

b) Calvin takes piano lessons at a community music school located 3.7 miles directly north of the sports complex. What is the length of a straight line between Calvin's house and the music school? Round to the nearest tenth.

Solution:

a) Calvin school, his house and the sport complex form a right angled triangle. The hypotenuse of the right angled triangle is the length of the line between Calvin's house and the sport complex. Let the length of the line between Calvin's house and the sport complex be x.

Using Pythagoras law for right angled triangle, we get that:

x² = 2.3² + 1.8²

x² = 8.53

x = √8.53

x = 2.9 miles to the nearest tenth

b) This forms a right angled triangle with the hypotenuse = length of a straight line between Calvin's house and the music school. one side of the triangle = 1.8 miles and the other side = 3.7 - 2.3 = 1.4 miles.

Let x = length of a straight line between Calvin's house and the music school. Hence:

x² = 1.8² + 1.4²

x² = 5.2

x = √5.2

x = 2.3 miles to the nearest tenth

help pleseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee i think i spelled that wrong
but stillplese help

Answers

a star will be the 9th shape
star. have a great day

Given the equation log2x + log2(x – 7) = 3, solve for x.

Answers

Answer:

         x∈{-1, 8}

Step-by-step explanation:

[tex]\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1[/tex]

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