At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion rings and sliders is shown to have 920 total calories and 3 times as many onion rings as there are sliders. Write a system of equations that could be used to determine the number of onion rings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.

Answers

Answer 1

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

[tex]45x + 325y = 920[/tex]

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

[tex]x = 3y[/tex]

Solving the two equation by substitution method, we get,

[tex]45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6[/tex]

Thus, there were 6 onion rings and 2 slider in the combination meal.

Answer 2

The system of equations that can be used to determine the required values is:

45x + 325y = 920 equation 1

3x = y equation 2

Where:

x = total number of onions

y = total number of sliders

In order to determine the number of onions and sliders in the combination meal, equation 1 and 2 have to be solved together in order to determine the required values. This is known as solving equations simultaneously. They can be solved using two methods:

elimination methodsubstitution method

To learn more about simultaneous equations, please check: brainly.com/question/23589883


Related Questions

Select "Yes" or "No" to indicate whether the ordered pair is on the graph of the function f(x)=−16x+1 .

Answers

To check if the pair is on the graph, plug the x value into the x in the equation, and solve. If the solution to the equation matches the y value from your ordered pair, it’s on the graph, so mark “yes”. If the solution isn’t the same, it’s not on the graph, so mark “no”.

A rope is cut into equal pieces, and 8 of the pieces are used to tie up
packages. The fraction below shows how much of the rope is left over
According to the fraction, into how many pieces was the rope cut?
A. 8
B. 11
C. 3
D. 5

Answers

Answer:A

Step-by-step explanation:

8 is the only equal number

Answer:

i believe its 8 :)

What is the positive solution to the equation 2x^2+25=73

Answers

Answer: I think it's 0.886  or its 3.386

Step-by-step explanation:

Because  1. x =(5-√73)/4=-0.886and the other one is 2. x =(5+√73)/4= 3.386

Final answer:

The positive solution to the equation 2x² + 25 = 73 is x = √24, which is approximately 4.9.

Explanation:

The student is asking for the positive solution to the equation 2x² + 25 = 73. To solve this, we first isolate the quadratic term by subtracting 25 from both sides of the equation, resulting in 2x² = 48. Then, we divide both sides by 2, simplifying to x² = 24. Taking the square root of both sides gives us two solutions, x = √24 and x = -√24. Since we're seeking the positive solution, we take the positive square root, which yields x = √24 or about 4.9.

1.2 per 1000 delivery hospitalizations equals how many births

Answers

Answer:

1200

Step-by-step explanation:

1.2 * 1000

1200

Answer:  1200

Answer:

1200

Step-by-step explanation:

1.2 per 1000 delivery hospitalizations equals how many births?

since they are 1.2 per 1000

= 1.2 * 1000

= 1200

The sum of two numbers is 98. If four times the smaller number is subtracted from the larger number, the result is 18. Find the two numbers,
The larger number is
The smaller number is

Answers

Hey there!

Let's make a system of equations using x and y to find the two numbers.X is smaller and y will be larger.

x+y=98

y-4x=18

Now, let's solve the bottom equation for y so we can use substitution.

y=18+4x

Now we plug this into the first equation.

x+18+4x=98

5x+18=98

5x=80

x=16

Now, we plug this into the first equation to find y.

y=82.

So, the larger number is 82 and the smaller number is 16.

I hope this helps! Have a great day!

Find the value of x.

Answers

Answer:

x = 8

Step-by-step explanation:

Two secants drawn from an external point to the circle.

The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is

(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)

(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL

3x² - 12 = 3x² - x - 4  ( subtract 3x² - x - 4 from both sides )

x - 8 = 0 ( add 8 to both sides )

x = 8

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2.

Answers

Answer:

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Step-by-step explanation:

The complete question is

Emily and her children went into a grocery store and she bought $20.80 worth of bananas and peaches. Each banana costs $0.80 and each peach costs $2. She bought  a total of 14 peaches and bananas altogether. Determine the number of peaches and the  number of bananas that Emily bought

Let

x ----> the number of bananas that Emily bought

y ----> the number of peaches that Emily bought

we know that

She bought  a total of 14 bananas and peaches altogether

so

[tex]x+y=14[/tex] -----> equation A

She bought $20.80 worth of bananas and peaches

so

[tex]0.80x+2y=20.80[/tex] -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (6,8)

see the attached figure

therefore

The number of bananas that Emily bought was 6 and the number of peaches that Emily bought was 8

Simplify the following expression.
2x^5+ 3x^3 - 5x^2 + x^2 +7x+1+7x^5 - 3x^3 - 4

Answers

9x^5-4x^2+7x-3 is the simplified version of your answer.

An item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price, including tax? Show your work.
a. solve the problem with the discount applied before the sales tax.
b. solve the problem with the discount applied after the sales tax.
c. compare your answers in parts (a) and (b). Explain

Answers

Answer:

$40 ; $43.20

Step-by-step explanation:

a) 50 * (1 - .20) = 50 * .8 = 40

b) 50 * (1 - .20) * (1 + .08) = 43.20

c) The sales tax increases the price from a by 8%

Answer:

a)  40 dollars

b) 43.20 dollars

c)  In Part A the instructions tell you to find the 20% in the 50 dollars But in  part B  it tells you to solve the problem with the discount applied after the sales tax.

Step-by-step explanation:

Mrs. Byrne's class went raspberry picking. The data show the weights of the cartoons of raspberries the students picked. Make a tally table and a line plot to show the data. 3/4, 1/4, 2/4, 4/4, 1/4, 1/4, 2/4, 3/4, 3/4
What is the difference in weight between the heaviest carton and lightest carton of rasperries?

Answers

Answer:

The difference is 3/4

Step-by-step explanation:

First, you look at the smallest and biggest amount. Then, you subtract! 4/4-1/4=3/4


The projected value (in millions of dollars) of a large manufacturing company is modeled by the function V(t) = 230(1.12)t, where V(t) is the value of the company t years after 2018. What does 230 represent in the function?
A) The growth factor of the company.
B) The value of the company in 2018.
C) The projected value of the company.
D) The value of the company after t years.

Answers

230 is the  value of the company in 2018.

Option (B) is correct.

To find 230 represent in the function.

What is arithmetic?

science that deals with the addition, subtraction, multiplication, and division of numbers.

It is given that:

The equation of a exponential growth function is equal to

[tex]V(t)=a(1+r)^{t}[/tex]

where,

V(t) is the value of the company

t is the number of years after 2018

a is the initial value or y-intercept

r is the rate of change

Put the value,

a=230

1+r=1.12

r=1.12-1=0.12

r=12%

so 230 is the value of the company when the value of t is equal to zero.

Remember that t is the number of years since 2018

Therefore ,230 is the  value of the company in 2018.

Learn more about arithmetic here:

https://brainly.com/question/15196686

#SPJ5

What is 0.31111... as a fraction

Answers

answer: 14/45
explanation:

Answer:

14/45

Step-by-step explanation:

How to solve -x+3y=4 ,3x+2y=-7

Answers

Answer:

x = -29/11 , y = 5/11

Step-by-step explanation:

-x+3y=4 ,..........(1)

3x+2y=-7 ............(2)

Solve simultaneously using elimination method

Multiply equation 1 by 3

It gives

-3x + 9y = 12

3x + 2y = -7..........(2) , add both equations

--------------------------

11y = 5

Divide both sides by 11

y = 5/11

Put value of y into equation (2)

3x +2y = -7

3x + 2(5/11) = -7

3x + 10/11 = '-7

Subtract 10/11 from both sides

3x +10/11 - 10/11 = -7  - 10/11

3x = -87/11

Divide both sides by 3

3x/3 = -87/11 ÷ 3

x = - 87/11 × 1/3

x = -29/11

Therefore x = -29/11 , y = 5/11

I hope this was helpful, please mark as brainliest

you want to leave a person a 25% tip. But how much of a tip would you leave her if your meal was $38.47

Answers

Answer:$48.09 please give brainliest!

Step-by-step explanation: you need to turn the percent to decimal so you move the decimal points to places to the right so the percent now is 0.25 so then you do 38.47 *0.25 =9.62 so then you add 9.62 +38.47 =48.09

Answer:

$9.62

Step-by-step explanation:

total cost= $38.47

tip            = 25% = [tex]\frac{25}{100}[/tex]

=> tip       = [tex]\frac{25}{100}[/tex] * $38.47

               ≈ $9.62 (to the nearest cent)

NOTE: the question is solely asking for the tip, therefore, there is no need to add the tip to the total.

Hope this helps :)

Which of the following are possible equations of a parabola that has no real solutions and opens downward?
y>= -(x+4)^2 - 2
y>= -(x+4)^2 + 2
y>= -x2-2
y>=(x-4)^2 + 2
y>= -(x-4)^2 - 2

Answers

Answer:

[tex]y = - {(x - 4)}^{2} - 2[/tex]

[tex]y = - {(x + 4)}^{2} - 2[/tex]

Step-by-step explanation:

The vertex form of a parabola is given as

[tex]y = a {(x - h)}^{2} + k[/tex]

If this parabola opens downward, then a<0.

This means for a function opening downward not to have a solution, the k value must also be negative and taking a square root of a negative number will not give real solution.

From the given options, examples of such functions are:

[tex]y = - {(x + 4)}^{2} - 2[/tex]

and

[tex]y = - {(x - 4)}^{2} - 2[/tex]

Answer:it’s y>=-(x+4)^2-2

Step-by-step explanation:

I checked it in my graphing calculator and it works. I’m also doing the program sooo

Find the volume of a cylinder if the radius is 12 inches and the height is 17 inches

Answers

Answer:

Volume of the cylinder = [tex]7686.72\,inches^3[/tex]

Step-by-step explanation:

Radius(r) of the cylinder= [tex]12\,inches[/tex]

Height(h) of the cylinder= [tex]17\,inches[/tex]

Volume of a cylinder is :

                   [tex]\pi \times r^2\times h[/tex]

As,

          [tex]\pi =\dfrac{22}{7}=3.14[/tex]

Volume is:  

            [tex]=3.14\times (12\times 12)\times 17\\\\=3.14\times 144 \times 17\\\\=3.14\times 2448\\\\=7686.72\,inches^3[/tex]

The volume of the cylinder is: [tex]7686.72\,inches^3[/tex]                    

What is the area of this figure?

Answers

Problem setup:

The shape is way too complicated by itself, so I cut the shape into 5 different parts.

Please refer to the attached image or my answer will not make much sense.

Shape 1:

This is a triangle. The base is 3 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*3*2[/tex]

[tex]=3[/tex]

Shape 1 has an area of 3 square units.

Shape 2:

This shape is also a triangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=\dfrac{1}{2}*4*2[/tex]

[tex]=4[/tex]

Shape 2 has an area of 4 square units.

Shape 3:

This a unit square (the side lengths are 1).

Thus, Shape 3 has an area of 1 square unit.

Shape 4:

This shape is a rectangle. The base is 3 and the height is 4. Thus, the area is:

[tex]A=3*4[/tex]

[tex]=12[/tex]

Shape 4 has an area of 12 square units.

Shape 5:

This shape is also a rectangle. The base is 4 and the height is 2. Thus, the area is:

[tex]A=4*2[/tex]

[tex]=8[/tex]

Shape 5 has an area of 8 square units.

Total shape:

Add the areas of all 5 shapes to find the area of the shaded figure.

[tex]A=3+4+1+12+8[/tex]

[tex]=26[/tex]

The figure has a total area of 26 square units.

Side notes:

There is a way to solve this problem by only dividing this into only 3 different shapes, can you figure it out?

Let me know if you need a hint or any clarifications, thanks!

~ Padoru

The sum of three consecutive integers is -234 find the integers​

Answers

Answer:

-77, -78, -79

Step-by-step explanation:

let one of the integers be x

since the integers are consecutive, the other 2 integers must be

(x+1) and (x+2)

given that sum of the integers is -234,

x + (x+1) + (x+2) = -234

x + x + 1 + x + 2 = -234

3x + 3 = -234   (subtract 3 from both sides)

3x = -234-3

3x = -237  (divide both sides by 3)

x = -237 / 3

x = -79  (answer)

hence the other two numbers are

(x + 1) = -79 + 1 = -78 (answer)

and

(x+2) = -79 + 2 = -77 (answer)

Answer:

Step-by-step explanation:

let the first integer is 'x', and by adding 1 in it we get the second integer that is 'x+1', and for third integer we need to add 1 in the previous integer i.e. is 'x+1' we get 'x+2'. Now all three integers we have are

x,x+1 and x+2.

since sum or add all three integer we get -234. so

x+x+1+x+2=-234

x+x+x=3x, and 1+2=3

3x+3=-234

3x=-234-3

3x=-237

x=-237/3

now the first integer is -237/3 or -79,

second integer is -78 and third integer is -77.

for verification add all three to get -234.

-79-78-77=-234. hence proved.

the sidees of a triangle measures 10cm 10 cm and 6cm what type of triangle is it?

i need help

Answers

Answer:

Isosceles Triangle

Step-by-step explanation:

Since, sides of triangle measures 10 cm, 10 cm & 6 cm.

Therefore, two sides of triangle have equal measurement.

Hence, it is an ISOSCELES triangle.

Need answer for this please

Answers

Answer:

Learning about functions vs. new language

Step-by-step explanation:

They both follow strict laws (typically stricter for functions).Practice makes perfect: both can be learned to points of practical perfection.The brain must first attribute meaning or value to elements of either in order to build a learning pattern.

What is this please help

Answers

Answer:

y=9

y=1

y= -7

y= -15

Step-by-step explanation:

You have to use the number in the x colum and fill in itnot te equation

y= -4x+1

Start with the first number, -2

y= -4(-2)+1          multiply -4 and -2 because of PEMDAS

y=8+1                         simplify

y=9

Now do the next number, 0

y= -4(0)+1        Multiple -4 and 0  because of PEMDAS (Anything times 0 is 0)

y=1

Now do the next number, 2

y= -4(2) + 1      Multiply -4 and 2 because of PEMDAS

y= -8 + 1       Simplify

y=-7

Now do the next number, 4

y= -4(4) +1         Multiply -4 and 4 because of Pemdas

y = -16 +1

y= -15

Round 721295.198715 to the nearest ten.

Answers

Final answer:

To round 721295.198715 to the nearest ten, we increase the tens place from 9 to 0 due to the ones place being 5, resulting in 721300.

Explanation:

To round the number 721295.198715 to the nearest ten, we should look at the digit in the ones place, which is 5. Since the ones digit is 5 or greater, we need to round up the tens place.

Therefore, the tens digit increases by one from 9 to 0, and all digits to the right of the tens place become zero.

Thus, 721295 rounds up to 721300 when rounded to the nearest ten.

Note that we ignore the decimal and its subsequent numbers because they do not influence the rounding of a number to the nearest ten.

Rene’s parents have put a half hour daily limit on how long the tv is watched in their house. What is the maximum number of hours that can be watched over 7 days if they stick to the limit?

Answers

Answer:

3.5

Step-by-step explanation:

30 · 7 = 210

210 ÷ 60 = 3.5

The sides of a triangle are 9,11,13.The largest side of a triangle like this is 39.The other two sides of the second triangle are?
A) 18;22 B)27;33 C)3;11 3 D)48;50

Answers

Length of other two sides is 27:33

Option B

Step-by-step explanation:

Here we have , The sides of a triangle are in ratio 9:11:13.The largest side of a triangle like this is 39. Let's calculate other two sides of the second triangle:

[tex]9:11:13[/tex] is the ratio  ,largest ratio value is 13 which represents largest side ratio whose length is 39 :

⇒ [tex]13x = 39\\[/tex]

⇒ [tex]x = \frac{39}{13}\\[/tex]

⇒ [tex]x = 3[/tex]

Now, other two sides are 9 x and 11 x

i.e. [tex]9x = 9(3) = 27[/tex]

 [tex]11x = 11(3) = 33[/tex]

So, lengths of all the three sides are 27:33:39 . And, Length of other two sides is 27:33`

1. Point  is on the line . Find the measure of angle .

Answers

Answer:

180°

Step-by-step explanation:

Answer:180

Step-by-step explanation:

Which of the following expressions is equivalent to that expression?

A.(n+4)^5

B.(n+4)^1/5

C.(n+4)^5/3

D.(n+4)^3/5

Answers

Option D:

[tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].

Solution:

Given expression:

[tex]\sqrt[5]{(n+4)^{3}}[/tex]

To find the equivalent expression for the given expression.

[tex]\sqrt[5]{(n+4)^{3}}[/tex]

Using radical rule: [tex]$\sqrt[m]{a}=a^{\frac{1}{m}}[/tex]

      [tex]$=\left((n+4)^{3}\right)^{\frac{1}{5}}[/tex]

Using exponent rule: [tex]$\left(a^{b}\right)^{c}=a^{b c}[/tex]

      [tex]$=(n+4)^{3 \cdot \frac{1}{5}}[/tex]

      [tex]$=(n+4)^{\frac{3}{5}}[/tex]

[tex]\sqrt[5]{(n+4)^{3}}=(n+4)^{\frac{3}{5}}[/tex]

Hence [tex](n+4)^{\frac{3}{5}}[/tex] is the equivalent expression for [tex]\sqrt[5]{(n+4)^{3}}[/tex].

Option D is the correct answer.

6r3s–12r3–10r2s+20r2

Answers

Answer:

2(s+10r)

Step-by-step explanation:

Simplify 5(x - 6).
5x - 30
O-X
5x - 6

Answers

Answer:

[tex]5x - 30[/tex]

Step-by-step explanation:

We want to simplify

[tex]5(x - 6)[/tex]

We use the distributive property of real numbers which says that:

[tex]a(b + c) = ab + ac[/tex]

We apply the distributive property to get;

[tex]5(x - 6) = 5 \times x - 5 \times 6[/tex]

This implies that:

[tex]5(x - 6) = 5 x - 30[/tex]

Therefore the correct answer is 5x-30

Write expression in simplest form (-11/2x+3)-2(-11/4x-5/2)=

Answers

Answer:

8

Step-by-step explanation:

-11/2x + 3 -2(-11/4x -5/2)

-11/2x + 3 + 11/2x + 5        use the distributive property

-11/2x  + 11/2x + 8        combine 3 and 5

8          subtract the x

the answer is 8

WILL GIVE BRAINLIEST!!!
Jack wants to determine the best-selling CD in his town. He surveys 30 shoppers as they leave the mall. What type of sampling is this?

Answers

This sampling is called biased. It’s bias because they’re only surveying people coming out of the mall
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