At a particular restaurant, each mini hotdog has 90 calories and each pizza roll has 50 calories. A combination meal with pizza rolls and mini hotdogs is shown to have 860 total calories and 6 more pizza rolls than mini hotdogs. Write a system of equations that could be used to determine the number of mini hotdogs in the combination meal and the number of pizza rolls in the combination meal. Define the variables that you use to write the system.

At A Particular Restaurant, Each Mini Hotdog Has 90 Calories And Each Pizza Roll Has 50 Calories. A Combination

Answers

Answer 1

The system of equations we need to solve is:

x*90 + y*50 = 860

y = x + 6

Solving that we will see that there are 4 mini hot dogs and 10 pizza rolls.

How to write the system of equations?

First, we need to define the variables we will be using, these are:

x = number of mini hotdogs.

y = number of pizza rolls.

We know that the combination has 860 calories in total, so:

x*90 + y*50 = 860

We also know that there are 6 more pizza rolls than mini hotdogs, so:

y = x + 6

Then the system of equations is:

x*90 + y*50 = 860

y = x + 6

Replacing the second equation into the first one, we will get:

x*90 + (x + 6)*50 = 860

Now we can solve this for x.

x*90 + x*50 + 300 = 860

x*140 + 300 = 860

x*140 = 860 - 300

x*140 =  560

x = 560/140 = 4

So there are 4 mini hotdogs, and:

y = x + 6

y = 4 + 6 = 10

There are 10 pizza rolls.

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Related Questions

Pie chart values
20%. Rice
15%. Others
Pulses. 30%
maize 20%
wheat 15%

Percentage distribution of products in exports of the
given countries.
(a) What is the value (in $ billion) of pulses export
by US? on a billion
(6)
What is the ratio of wheat export of UK to
maize export of IND? 4:10
(e) By what percentage is the maize export of
JAP more than the rice export of AUS?
(d) If the export of AUS is doubled and that of US is
halved but percentage distribution of products of
export remains the same, then find the value of
Export of Rice by US
Export of Pulses by AUS
In USSR, find the ratio of maize export to the
rice export.

Pie chart values20%. Rice15%. OthersPulses. 30%maize 20%wheat 15%Percentage distribution of products

Answers

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

How to calculate the value of pulses exported?

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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The perimeter of a rectangle is 40 m. The length is 2 m more than two times the width. Find the length and the width of the rectangle.

Answers

Answer:

Length is 14

Width is 6

Step-by-step explanation:

Length = 2W + 2

Width = W

Perimeter is twice the length + twice the width

P = 40 = 2(2W+2) + 2W first simplify

40 = 4W + 4 + 2W  now combine terms

40 = 6W + 4 and subtract 4 from both sides

36 = 6W

Width W = 6

Length = 2W + 2 = 12 + 2 = 14

In what percentage of the team's wins did Ryan score a goal?

Answers

Answer:

is there a picture?

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

i got it right ...

trust me or don’t :)

What this will look like on STAAR
Which representation of a transformation on a coordinate grid does NOT preserve
congruence?
A. (x, y) - (x + 2, y)
B. (x, y) (2x, 2y)


C. (x,y) → (-x, -y)
D. (x, y) = (-x,y)
Students draw anywhere on this slidel
Pear Deck interactive

Answers

I would say B hope that helped

Given: m//n
Prove: angle 1 and angel 4 are supplementary

Given: m//nProve: angle 1 and angel 4 are supplementary

Answers

⇒ Supplementary angles are angles that add up to 180°

⇒ ∠1+∠2=180°(angles on a straight line)

∠2=∠4( Corresponding angles are equal m||n)

⇒*NOTE THE FOLLOWING STATEMENT IS TO MAKE YOU UNDERSTAND,IT MUST NOT BE INCLUDED IN YOUR ANSWERBOOK)

If ∠2=∠4

in the place of ∠2 in the equation ∠1+∠2=180° we can substitute ∠4 since the two angles (∠2 and ∠4) are equal by corresponding angles

______________________________________________________

⇒You may include this step now as you now know how ∠4 came up.

∴∠1+(∠4)=180°

∠1+∠4=180°

Now from the above equation we can see that ∠1 and ∠4 are supplementary angles as they both add up to 180°

Please Help Me With This Question!!!

Please Help Me With This Question!!!

Answers

Answer:

B. 11/12

Step-by-step explanation:

Answer: B. 11/12

Step-by-step explanation:

.

Could you help me answer 2a, b, c and d? See the image below.

Could you help me answer 2a, b, c and d? See the image below.

Answers

Answer:

2a. 1/4

2b. 2/8

2c. yes, 1/4 = 2/8 because

2 / 8 = 2 ÷ 2 / 8 ÷ 2 = 1 / 4.

2d. the total number of parts doubled in the denominator, the number of parts represented in the numerator doubled as well.

The operations of division and multiplication are made proportionally to the numerator and denominator.

If Jerry exceeds the speed limit of 65 miles per hour, he runs the risk of receiving a speeding ticket. If represents Jerry's speed, which inequality represents this situation?

A.x _65
C.x 65

Answers

Answer: Choice D) x > 65

If x is his speed, and the speed limit is 65 mph, then the inequality \(x > 65\) represents him going over the speed limit.

The inequality \(x \le 65\) is when Jerry isn't over the speed limit (so he's going either 65 mph or slower than this).

some people use a rule to see how many hours a child should sleep at night. Subtract the child's age in years from 30, then divide by 2.


Samantha is 14 years old she wakes up every morning at 7 am. Use the rule to work out what time she should go to sleep?

Answers

It would be 8 hours. 30-14=16. 16/2=8.

Country X (a developed country) currently has a per capita ecological footprint of 3.2 hectares, while country Y (a developing country) has a per capita ecological footprint of 0.6 hectare. If everybody in the world has an ecological footprint the size of the average footprint between these two countries and there are ~7 billion people on Earth, how many total hectares would be needed

Answers

Answer:

Total hectares needed = 13.3 billion hectares of ecological footprint.

Step-by-step explanation:

Country X's per capita ecological footprint = 3.2 hectares

Country Y's per capita ecological footprint = 0.6 hectares

Earth's population = 7 billion

Average footprint between the two nations = 1.9 (3.2 + 0.6) hectares

If everybody in the world (i.e. the earth's population) has an ecological footprint the size of the average footprint between these two countries, i.e. = 1.9 per capita of earth's population,

Therefore, the total hectares of ecological footprint needed will be equal to 7 billion x 1.9

= 13.3 billion hectares of ecological footprint.

identify the slope and write the equation of the line in slope intercept form that goes through the point (-5,-1) and is perpendicular to 5x - y = 1

identify the slope and write the equation of the line in slope intercept form that goes through the point

Answers

The slope of this line is equal to -1/5.

An equation of the line in slope-intercept form that goes through the point (-5,-4) and is perpendicular to 5x - y = 1 is y = -x/5 - 2.

How to determine an equation of this line?

Mathematically, the standard form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope.x and y are the points.c represents the intercept.

From the information provided, we have the following:

5x - y = 1. Therefore, the slope, m is equal to 5.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

5 × m₂ = -1

m₂ = -1/5

At point (-5, -1), an equation of this line can be calculated by using the point-slope form:

y - y₁ = m(x - x₁)

y - (-1) = -1/5(x - (-5))

y + 1 = -x/5 - 1

y = -x/5 - 1 - 1

y = -x/5 - 2

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The figure shown below is a trapezoid. What is the value of x?

The figure shown below is a trapezoid. What is the value of x?

Answers

Answer:

7

Step-by-step explanation:

     the traezoid has congruent legs moving from the top to the bottom

     and length is increasing by 2 each for each base, so the bottom base

     is 14.

          2x = 14

            x = 7

BRAINLY PLEASE HELP ME WITH THIS

BRAINLY PLEASE HELP ME WITH THIS

Answers

Which question do you need help with?

a dilation has center (0,0). Find the image of the point L(-4,0) for the scale factor 7.

Answers

The image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

A dilation with a center of (0,0) and a scale factor of 7 means that every point in the plane will be multiplied by a factor of 7 from the origin.

To find the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7, we can simply multiply the coordinates of L by the scale factor.

The coordinates of the image point L' will be:

L' = (-4 × 7, 0 × 7) = (-28, 0)

Therefore, the image of the point L(-4,0) after a dilation with a center of (0,0) and a scale factor of 7 is the point L'(-28,0).

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4. Calculate the Social Security and Medicare tax that would be applied to an annual salary of $56,400.

Answers

Answer:759

Step-by-step explanation:

Given the system of equations One-third x minus two-thirds y = 7 and two-thirds x + 3 y = 11, which numbers can be multiplied by the equations to eliminate the x-variable? Check all that apply.
–6 times the first and 3 times the second
6 times the first and –3 times the second
–3 times the first and 6 times the second
3 times the first and –6 times the second
2 times the first and –1 times the second

Answers

abe

Answer:

Step-by-step explanation:

2 times the first and –1 time the second will eliminate the x variables in the equations.

Option E is the correct answer.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

(1/3)x - (2/3)y = 7 ____(1)

(2/3)x + 3y = 11 _____(2)

Now,

Multiply 2 on equation (1).

Multiply - 1 on equation (2).

We get,

(2/3)x - (4/3)y = 14

-(2/3)x  - 3y = -11    

           -(4/3)y - 3y = 14 - 11

Now x variable gets eliminated.

Thus,

2 times the first and –1 time the second will eliminate the x variables in the equations.

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How you plug this in binomial probability

How you plug this in binomial probability

Answers

The Binomial probability of x = 3 for the given parameters is 0.2048

Using Binomial probability concept

The Binomial probability relation can expressed as :

\(P(x) = nCx * p^{n} * q^{n-x}\)

where :

n = number of trials = 17p = probability of success q = 1 - p

for x = 3

We substitute x into the equation thus :

P(x = 3) = 17C3 * (1/8)³ * (1 - 1/8)¹⁴

P(x = 3) = 0.2048

Therefore, the probability of x = 3 in the scenario given is 0.2048

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Describe the transformations of the graph y = (x - 3)³-2

Answers

step - by - step

y = (x-3)^3 -2

Find the point at x=1

f(1)= ((1)-3))^3 - 2
= -8-2
y= -10

Find the point at x =2

f(2) = ((2)-3))^3 -2
= - 1-2
y = - 3

Find the point at x = 3

f(3) = ((3)-3))^3 -2
= 0-2
y= -2

Find the point at x = 4

f(4) = ((4)-3))^3 - 2
= 1-2
y= - 1

Find the point at x = 5

f(5) = ((5)-3))^3 -2
= 8-2
y = 6

Find the point at x = 6

x / y
1 -10
2 -3
3 -2
4 -1
5 6

A builder wants to purchase
countertops that are 15’ long and 24” deep, plus an island countertop that is
48” x 36”, how much total square
footage will be needed for this?

Answers

The builder will need a total of 372 square feet of countertop.

Solution

First, let's convert all dimensions to feet:

The 15' countertops are 15 * 12 = 180 inches long.

The 24" deep countertops are 24 / 12 = 2 feet deep.

The 48" x 36" island countertop is 48 / 12 = 4 feet wide and 36 / 12 = 3 feet deep.

Next, we can calculate the square footage of each countertop:

The 15' countertops are 180 inches long and 2 feet deep, so the square footage is 180 * 2 = 360 square feet.

The island countertop is 4 feet wide and 3 feet deep, so the square footage is 4 * 3 = 12 square feet.

Finally, we can add the square footage of each countertop to find the total square footage:

360 square feet + 12 square feet = 372 square feet

Therefore, The builder will need a total of 372 square feet of countertop.

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I don’t know how to do this

I dont know how to do this

Answers

Answer:

A

Step-by-step explanation:

Solve for c. F+3/C = e
help​

Answers

Because C is a denominator first multiply by C
CF + 3 = Ce
Collect the like terms (the ones that contain C)
CF - Ce = -3
Factorise
C(F - e) = -3
C = -3/(F - e)

A better answer is C = 3/(e - F)

Subtract F from both sides
3/C = e - F
Divide by 3
1/C = (e - F)/3
Find reciprocal of both sides
C = 3/(e - F)

If you subtract 34 from the product of 15 and a number, you get 146. Find the number.

Answers

Answer:

its 97

Step-by-step explanation:

add all and u get 146

Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. long and 8 ft. high. Two walls each have one door,
and both doors measure 3 ft. by 7 ft. One wall has a window that is 3 ft. by 5 ft. The doors and window do not have to be painted
What is the area of the wall space that has to be painted?

Answers

Answer:

Step-by-step explanation:

519 I believe

f(x)=3^x+1 and g(x) = 2x-4, find f(2) - g(-1)

Answers

Answer:

16

Step-by-step explanation:

3^x +1 = f(X)

2x-4 = g(x)

find f(2)-g(-1)

we substitute in function f(X) by value (2), and in function g(X) by value (-1)

1. 3^x +1 becomes 3^2+1 =9+1=10

2. 2(-1)-4= -2-4=-6

then f(2)-g(-1)

= 10-(-6) =10+6=16

an air traffic controller is tracking two planes. to start plane A is at the altitude of 4000 feet and plane B is at an altitude of 3146 feet. plane A is gaining altitude at 33.5 feet per second and plane B is gaining altitude at 50.75 feet per second

Answers

the two planes will be at the same altitude of approximately 5675.48 feet after 49.45 seconds.

What is plane?

A plane is a flat two-dimensional surface that extends infinitely in all directions. In geometry, a plane is defined as a surface that is completely flat and has no thickness. It is often represented as a coordinate system with two perpendicular axes, usually labeled as the x-axis and y-axis.

Assuming that the two planes maintain their rates of ascent, we can use the following equations to determine when the planes will be at the same altitude:

altitude of plane A = 4000 + 33.5t

altitude of plane B = 3146 + 50.75t

where t represents time in seconds.

To find the time at which the two planes will be at the same altitude, we can set the two equations equal to each other and solve for t:

4000 + 33.5t = 3146 + 50.75tSubtracting 3146 from both sides, we get:

854 + 33.5t = 50.75t

Subtracting 33.5t from both sides, we get:

854 = 17.25t

Dividing both sides by 17.25, we get:

t = 49.45 seconds

Therefore, it will take approximately 49.45 seconds for the two planes to be at the same altitude. To find the altitude at which they will meet, we can substitute this value of t into either equation. Using the equation for plane A, we get:

altitude of plane A = 4000 + 33.5(49.45) = 5645.08 feet

Using the equation for plane B, we get:

altitude of plane B = 3146 + 50.75(49.45) = 5675.48 feet

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need help confuesd only have a bit oftime left

need help confuesd only have a bit oftime left

Answers

Therefore, the length of the arc to the nearest 10th is 68.3 units.

What is arc?

In geometry, an arc is a portion of a curve that is part of the circumference of a circle, an ellipse, or another curved shape. An arc is defined by two endpoints and the curve between them, and it can be described by its length, central angle, or radius. The length of an arc is proportional to the size of the angle that it subtends at the center of the circle. Arcs are commonly used in trigonometry, calculus, and geometry to analyze and solve problems related to circles, angles, and curves.

Here,

The length of an arc is given by the formula:

length of arc = radius x angle in radians

In this case, the radius is 9.1 and the angle is 7.5 radians, so:

length of arc = 9.1 x 7.5

length of arc = 68.25

Rounding to the nearest 10th gives:

length of arc ≈ 68.3

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I don’t understand this question.

I dont understand this question.

Answers

Answer:the last one

Step-by-step explanation:

The graph shows information about the
height of the tide over 12 hours.
How fast is the depth changing at 11:00?
Give your answer as a fraction in its
simplest form.

The graph shows information about theheight of the tide over 12 hours.How fast is the depth changing

Answers

According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

How much does the height of the wave change between 11 and 12?

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

5.2 - 3.9 = 1.3

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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what is the equation
-8x+10y=16
-4x-5y=13

Answers

The equations give values of 1/2 and -11/8

What is simultaneous equation?

you should be aware that two equations are solved simultaneously if they are solved together

The given equations are

-8x+10y=16 .............................1

-4x-5y=13 ..................................2

Multiply equation 2 by 2 to have

-8x -10y=26

Subtract equation 1 from equation 2

-8x+10y=16

-(-8x-10y=26)  To get

The we have 20y = 10

Make y the subject of the relation

y=1/2

Put y = 1/2 in equation 1

-8x +10(1/2) = 16

-8x +5 = 16

-8x = 16-5

-8x = 11

Making x the subject of the formula we have

x=-11/8

In conclusion the values of x and y are -11/8 and 1/2 respectively

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Can someone please help me :(

Can someone please help me :(

Answers

Answer:

3 ^7

Step-by-step explanation:

7 goes in the box

you could do 5 + 2 and that is 7

Answer:

pretty sure you're supposed to put 7 in the box bc when multiplying numbers with exponents you add the exponents

Step-by-step explanation:

sorry if I'm mistaken

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