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.
Answers
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
Can you use absolute value when subtracting two negatives?
- 2 1/2 - (-1 2/3)
or does it only work when one number is negative?
Answers
Yes, it is possible to use absolute value when subtracting two negatives and as such it does not only work when one number is negative.
How to Interpret Absolute Values?
When adding two negative numbers, add the absolute value of the numbers and keep the negative sign.
For example -1 + -2 = - (||-1| + |-2||), which is -(1 + 2) or -3
The absolute value when subtracting two negatives is -2¹/₂ - (-1²/₃) is possible because when subtracting, we will change the subtraction to addition and change the sign of the number being taken away.
Thus, we can conclude that it is possible to use absolute value when subtracting two negatives.
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4.30. An internet service provider has two connection lines for its customers. Eighty percent of
customers are connected through Line I, and twenty percent are connected through Line II.
Line I has a Gamma connection time with parameters a = 3 and λ = 2 min-¹. Line II has
a Uniform(a, b) connection time with parameters a = 20 sec and b = 50 sec. Compute the
probability that it takes a randomly selected customer more than 30 seconds to connect to
the internet.
Answers
Using the uniform distribution, there is a 0.6667 = 66.67% probability that it takes a randomly selected customer more than 30 seconds to connect to the internet.
What is the uniform probability distribution?It is a distribution with two bounds, given by a and b, in which each possible outcome is equally as likely.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
For this problem, the connection time has parameters a = 20 sec and b = 50 sec, as stated in the problem.
The probability that it takes a randomly selected customer more than 30 seconds to connect to is P(X > 30).
Hence, applying the formula, with the bounds, we have that:
P(X > 30) = (50 - 30)/(50 - 20) = 2/3 = 0.6667.
The measure above is the desired probability.
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(URGENT) Lines a & m are parallel. Using the diagram below, what is the degree measure of angle 3?
Enter the numerical answer only. Example, if the answer is 12 degrees, only enter 12.
Answers
The value of angle 3 is 127 degrees.
How to find angles formed by parallel lines?Parallel lines are those lines that are equidistant from each other and never meet.
Parallel lines cut by a transversal, forms different angle relationship like alternate angles, corresponding angles, etc.
The line a and m are parallel lines.
The parallel lines are cut by a transversal y.
The angles formed are 1, 2, 3, 4, 5, 6, 7, 127 degrees etc.
This angles are related by alternate rule or corresponding rule.
Therefore,
∠3 is an alternate angle to 127 degrees.
Hence, alternate angles are congruent.
Therefore,
∠3 = 127 degrees.
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Unknown Numbers
Consider the following problem.
One number is 3 less than 6 times a second number.
Their sum is 46. Find the numbers
If × represents the second number, which equation is
correct for solving this problem?
Answers
Step-by-step explanation:
y is the second number. This means we can define it as the following equations where x is the second number:
y=6x-3
y+x=46
we have a system of equations, let's move all x to the right side
y=6x-3
y=46-x
this means that 6x-3=46-x
6x+x=46+3
7x=49
x=7
now that we know x we can calculate the y through one of the equations above:
y=39
suppose there are only two weather states: sunny and raining. If
today is sunny, the probability of raining for tomorrow is 0.6. If today is raining, the
probability of sunny for tomorrow is 0.7. Based on climatic records, during a year of 365
2
days, the number of sunny days is 265 days on average, and the remaining days are raining.
Please do the following
(1) What is the probability of sunny for tomorrow given today is sunny?
(2) What is the probability of raining for tomorrow given today is raining?
(3) Given today is sunny, what is the probability that yesterday is sunny as well?
Answers
Imagine there are only two possible weather conditions: sunny and rainy. If it's sunny today, there is a 0.6 percent probability it will rain tomorrow. If it rains today, there is a 0.7 percent probability that it will be sunny tomorrow. Based on climatic records, during a year of 365 2 days, the number of sunny days is 265 days on average, and the remaining days are raining.
Please do the following
(1) Given that today is sunny, what is the probability that tomorrow will be sunny?
(2) Given that it is raining today, what is the probability that it will rain tomorrow?
1. The probability of sunny for tomorrow given today is sunny is 0.4.
2. the probability of raining for tomorrow given today is raining is 0.3
Given that
If it's sunny today, there is a 0.6 percent probability it will rain tomorrow.
If it rains today, there is a 0.7 percent probability that it will be sunny tomorrow.
A year of 365 days, the number of sunny days is 265 days on average, and the remaining days are raining that are 100.
1. The probability of sunny for tomorrow given today is sunny is
1-0.6=0.4
2. the probability of raining for tomorrow given today is raining is
1-0.7=0.3
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Using long division what is the quotient of this expression
3x^4-2x^3-x-4
———————-
X^2+2
Answers
3x² - 2x -6 is quotient in polynomial after long division .
What in mathematics is a polynomial?
Sums of terms of the form kxn, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video.A polynomial is a mathematical expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. It is made up of indeterminates (also known as variables) and coefficients. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.[tex]\frac{3x^{4} - 2x^{3} - x - 4 }{x^{2} + 2}[/tex]
after long division we get quotient - 3x² - 2x -6 .
Divide using long division: standard [tex]3x^{2} + \frac{3x + 8 }{x^{2} + 2} - 2x - 6[/tex]
quotient - 3x² - 2x -6
remainder - 3x + 8
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Answer:
see image
Step-by-step explanation:
Plato/Edmentum
PLEASE HELP FIND FOR X QUICK PLEASE!!!!
Answers
Greetings from Brasil...
Assuming that the line segments CE and FH are parallel, then:Angle W
Here we have Opposite Angles by Vertex, so
W = 14
According to the attached figure, the angle W is also corresponding, so in the triangle CEG one of the angles will be 14°
Angle Z
The sum of the interior angles of a triangle is 180°, so for triangle CEG:
Z + W + 78 = 180
Z + 14 + 78 = 180
Z = 88
Angle X
Z and 4X are complementary angles, then
Z + 4X = 180
88 + 4X = 180
X = 23
___________________________________
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If f(x) = 4x² -3 and g(x) = x+1, find (f - g)(x)
Answers
The value of (f - g)(x) = 4x² - x - 4.
Function - A function is a relationship or expression involving one or more variables. It has a set of input and outputs. Each input has only one output. The function is the description of how the inputs relate to the output.
We have been given that -
f(x) = 4x² - 3
g(x) = x + 1
Find out (f - g)(x) = ?
(f - g)(x) = 4x² - 3 - (x + 1)
(f - g)(x) = 4x² - 3 - x - 1
Output of
(f - g)(x) = 4x² - x - 4
Hence , for the given function f(x) = 4x² - 3 and g(x) = x + 1 the relationship of (f - g)(x) is 4x² - x - 4.
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Which of the following choices shows the standard form of the equation below?
y= -3/2x +5
A) 3x+2y=10
B) 3x-2y=10
C) -2y-3x=26
D) 3x+2y=26
Answers
Answer:
A
Step-by-step explanation:
y=3/2x+5
2(y+3/2x)=5(2)
2y+3x=10
a(1)=−2 a(n)=a(n−1)−5
Answers
Answer:
What do I solve for?
Step-by-step explanation:
eight to the fourth power increased by six
Answers
Answer: 4102
Step-by-step explanation:
8^4 + 6=
4096+6=4102
Juliana is taking out an $8,700, 3-year loan with an APR of 2.31%. What will be the monthly payment for this loan? Round to the nearest cent.
Answers
Answer: $250.37
Step-by-step explanation: no clue teacher told me because she doesn't know
Use the inverse of the coefficient matrix to solve the system of equations.
x+2y+3z = 11
2x+3y+4z = -10
−x−4y−8z = −66
Answers
Answer:
(x, y, z) = (-62, 50, -9)
Step-by-step explanation:
You want the solution to this system of equations using the inverse of the coefficient matrix.
x+2y+3z = 11
2x+3y+4z = -10
−x−4y−8z = −66
Inverse matrixThe inverse of the coefficient matrix is the transpose of the cofactor matrix, divided by the determinant. There are some shortcuts that can be used to make the computation easier. Easiest is letting a calculator find the matrix inverse. (See the first attachment.)
SolutionThe solution to the set of equations is the product of the inverse matrix and the constant vector on the right of the equal signs. That, too, can be found using a calculator. (See the second attachment.)
The solution is (x, y, z) = (-62, 50, -9).
you have a $3125 student loan. suppose you pay the loan off in two and a half years(30 months). estimate your monthly payment by ignoring interest and rounding down the amount owed. (round your answer to the nearest dollar.)
Answers
The monthly payment by ignoring intrest and rouning down the amount owed is $104
Given that "you have a $3125 student loan. suppose you pay the loan off in two and a half years(30 months)" and asked to find out the monthly payment by ignoring the intrest and round off the amount to nearest integer.
Total loan=$3125 .
Total time given= two and a half years(30 months)
The monthly payment=[tex]\frac{3125 }{30}[/tex]
The monthly payment=$104
To complete the student loan monthly payment of $104 is required.
Therefore,The monthly payment by ignoring intrest and rouning down the amount owed is $104
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Can someone help me with these 2 problem
Answers
Answer:
Step-by-step explanation:
volume of small cuboid=5×2×4=40 cm³
volume of one small cube=(1/2)³=1/8
so number of cubes=40÷1/8=40×8=320
now width of bigger cuboid=9-5=4 cm
volume of bigger cuboid=4×2×12=96
number of small cubes in this cuboid=96÷1/8=96×8=768
total cubes=768+320=1088
What is the reciprocal of -2/3
A. -3/2
B. -2/3
C. 1/3
D. 1/2
Answers
I guess it’s A
Suppose the average yearly salary of an individual whose final degree is a master's is $40 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $113 thousand. Find the average yearly salary of an individual with each of these final degrees.
Answers
In linear equation 109333.2 dollars is the average yearly salary of an individual with each of these final degrees .
What is a linear equation ?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.let x be the salary of individual with bachelor degree
Then the average salary of individual with Masters degree is:
(2x-40000)
the combined of two salaries is 130000:
x+(2x-40000)=130000
3x-40000=130000
3x=130000+40000
x=170000/3
x = 56,666.66
x= 56,666.6 dollars ( the average salary of bachelor degree)
the average salary of Masters degree = 2x - 40000
2(56666.6)-40000 = 109333.2 dollars
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What is 9 divided 2.43
Answers
explanation: 9 divided by 2.43. To divide decimal numbers we need to remove the decimal point.
The right triangle drawn on the road sign is 10 inches high. If the base of the right triangle is 5 inches, what is the
area of the right triangle formed in the sign?
O 48 sq.in.
O 64 sq.in.
O 25 sq.in.
O 36 sq.in.
Answers
The area formula for the triangle is 1/2 b•h
1/2 divided by 5 is 2.5
2.5 x 10 is 25.
Answer:
25 sq.in.
The area formula for the triangle is 1/2 b•h
1/2 divided by 5 is 2.5
2.5 x 10 is 25.
Step-by-step explanation:
A group of 25 students participated in a science competition. Their scores are below.
Score (points) 30-39 40-49 50-59 60-69 70-79
Number of Students
5
7
6
4
3
Would a dot plot or a histogram best represent the data presented here? Why?
O Histogram, because a large number of scores are reported as ranges
O Histogram, because a small number of scores are reported individually
O Dot plot, because a large number of scores are reported as ranges
O Dot plot, because a small number of scores are reported individually
Answers
The best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "
Histogram is the graphical representation of distribution of numerical data. The histogram look like a bar graph in appearance, but the frequency of numerical data using rectangles.
In histogram the range is the width of the rectangular bar along the x-axis. The range in the histogram is an approximate value.
In the given data, there are large number of scores are reported. So the given data will be represented in histogram. Therefore correct option is option A "Histogram, because a large number of scores are reported as ranges
Hence, the best graphical representation used to represent the score of 25 students is option A " Histogram, because a large number of scores are reported as ranges "
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Given the function: f(x) = 2x³-3/2x, find f(-4).
Answers
PLS HELP IMMA DIE
Jafari and adana are giving their dog a bath. The label on the shampoo bottle recommends a ratio of 1/6 of shampoo to water. what percent of the bath needs to be shampoo?
Answers
The percent of the bath needs to be shampoo will be 16.67%.
How to calculate the percentage?From the information, Jafari and adana are giving their dog a bath and the label on the shampoo bottle recommends a ratio of 1/6 of shampoo to water
The percent of the bath needs to be shampoo will be:
= 1/6 × 100
= 16.67%
Therefore, the percent of the bath needs to be shampoo will be 16.67%.
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Simplify and determine the coefficient of (- 2/3 x)(3y)(-2x).
4
-4
1/3
1
Answers
Answer:
Welcome to Gboard clipboard, any text you copy will be saved here. Welcome to Gboard clipboard, any text you copy will be saved here.
Step-by-step explanation:
A
A parachutist's rate during a free fall reaches 70 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 2 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answers
The rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.
What do we mean by speed?The definition of speed is The rate at which an object's position changes in any direction. Speed is defined as the ratio of distance traveled to time spent traveling. Because it has only one direction and no magnitude, speed is a scalar quantity.So, let's assume that y70m/s is the terminal velocity.
As 1 meter = 3.3 feetThen, 70 meters = 70 × 3.3 = 231 ft/secParachutist will fall at what rate in 2 seconds: 462 ft/secTherefore, the rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.
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Order the square root of 70, negative 8.2 repeating, twenty five thirds, and negative eight and four sevenths from least to greatest. negative eight and four sevenths, negative 8.2 repeating, square root of 70, twenty five thirds negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, twenty five thirds, square root of 70 negative 8.2 repeating, negative eight and four sevenths, square root of 70, twenty five thirds
Answers
Answer:
[tex]\textsf{B)} \quad -8 \frac{4}{7} \quad -8.\.{2} \quad \dfrac{25}{3} \quad \sqrt{70}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{70} \quad -8.\.{2} \quad \dfrac{25}{3} \quad -8 \frac{4}{7}[/tex]
Convert the given numbers into decimals:
[tex]\sqrt{70}=8.366...[/tex]
[tex]-8.\.{2} =-8.222...[/tex]
[tex]\dfrac{25}{3}=8.333...[/tex]
[tex]-8 \frac{4}{7}=-8.571...[/tex]
Order the decimals from least to greatest:
[tex]-8.571... < -8.222... < 8.333... < 8.366...[/tex]
Therefore:
[tex]-8 \frac{4}{7} < -8.\.{2} < \dfrac{25}{3} < \sqrt{70}[/tex]
Answer:
negative eight and four sevenths, negative 8.2 repeating, twenty five thirds, square root of 70
Evaluate if k=3
K^2 + 5 =
Answers
Answer:
k2+5=?
3²+5=?
9+5=14......
Which of the following shows the correct solution steps and solution to
7x-4--18?
O A.
7x-4 =-18
7x-4-4 = -18-4
7x = −14
7x
-14
7
7
=
-
x = -2
Answers
The solution for the equation 7x-4 = -18 is x = -2
The equation given is, 7x - 4 = -18.
We will try to solve this equation using elimination method in the following steps.
7x-4= -18
⇒ 7x-4+4 = -18+4
⇒7x = -14
⇒7x/7 = -14/7
⇒x = -2 is the solution for the given equation.
In the first step, we added 4 on both sides to eliminate -4 on the left side.
In the next step, we divided the both sides by 7 to eliminate the 7 on the left side. Finally, we got the solution as x = -2.
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Which number line shows the solution the inequality
Answers
the total of the square of a number n and the difference between seventeen and the square of the number
Answers
Answer:
Step-by-step explanation:
n²+(17-n²)=n²+17-n²=17
Answer: n²+(17-n²)=n²+17-n²=17
Step-by-step explanation:
Grandpa Mayowa and Grandma Quetta gave money to their 5 grandchildren to divide evenly among themselves. Grandpa Mayowa gave 500 dollars and Grandma Quetta gave d dollars. How much money did each grandchild receive? Write your answer as an algebraic expression.