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.

Answer:

A

Step-by-step explanation:

y=3/2x+5

2(y+3/2x)=5(2)

2y+3x=10

Answer: $250.37

Step-by-step explanation: no clue teacher told me because she doesn't know

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.

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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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 ?

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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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.

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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Greetings from Brasil...

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

___________________________________

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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

The percent of the bath needs to be shampoo will be 16.67%.

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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Answer:

What do I solve for?

Step-by-step explanation:

Answer: 4102

Step-by-step explanation:

8^4 + 6=

4096+6=4102

Answer:

k2+5=?

3²+5=?

9+5=14......

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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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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The rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

So, let's assume that y70m/s is the terminal velocity.

Therefore, the rate of feet per second is 231 ft/sec and parachutists will fall 462 ft in 2 seconds.

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3x² - 2x -6 is quotient in polynomial after long division .

What in mathematics is a polynomial?

[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

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:

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

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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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

The 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.)

The 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).

Answer:

Step-by-step explanation:

n²+(17-n²)=n²+17-n²=17

Answer: n²+(17-n²)=n²+17-n²=17

Step-by-step explanation:

The value of angle 3 is 127 degrees.

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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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

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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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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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