A computer technician charges $190 for a 3-hour appointment and $370 for a 7-hour appointment. Which of these represents a linear function that models the charge for hiring the technician for x hours? A y=55x+190 B y=55x+45 C y=45x+190 D y=45x+55

Answer:

The concession stand sold 46 hot dogs and 32 hamburgers.

Step-by-step explanation:

The first thing to do in algebraic problems is assign variables to things we don't know, so let's start there:

We don't know how many hot dogs the concession stand sold, so we will call that number d.

We don't know how many hamburgers the concession stand sold, so we will call that number h.

Now we translate the statements into algebraic equations:

The number of hot dogs and hamburgers that were sold is 78, so d+h=78.

If each hot dog is sold for 1.25, then the total revenue from hot dogs is given by 1.25d. In the same way, the total revenue from hamburgers is 1.50h. The total revenue from both hot dogs and hamburgers should be the sum of these, and since we are told the total revenue is 105.50, we can say 1.25d+1.5h=105.5.

We now have a system of two linear equations:

d+h=78

1.25d+1.5h=105.5

We can solve it using several methods, though I'm going to go with substitution. Use the first equation to solve for d:

d+h=78

→d=78−h

Now plug this in for d in the second equation:

1.25d+1.5h=105.5

→1.25(78−h)+1.5h=105.5

Solving for h, we have:

97.5−1.25h+1.5h=105.5

0.25h=8

h=8.25→h=32

Since h+d=78,

32+d=78→d=46

The concession stand therefore sold 46 hot dogs and 32 hamburgers.

From the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.

For the given situation we need to find a system of equations.

In algebra, a system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."

Let the cost of hot dogs be x and the cost of hamburgers be y.

At a football game, 84 hot dogs and 36 hamburgers were sold for $276 =

84x+36y=276

⇒ 21x+9y=69 ..........(1)

At another football game, 60 hotdogs and 18 hamburgers were sold for $174 = 60x+18y=174

⇒ 10x+3y=29 ..........(2)

Multiply equation (2) by 3, that is 30x+9y=87 ..........(3)

Subtract equation (3) and (1)

That is, 30x+9y-(21x+9y)=87-69

9x=18

⇒ x=2

Put x=2 in equation (1), we get 21(2)+9y=69

⇒ 42+9y=69

⇒ 9y=27

⇒ y=3

Therefore, from the given situation the cost of each hot dogs is $2 and the cost of each hamburgers is $3.

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Answer:

7-pound bag of barley for $6.72 is a better buy.

Step-by-step explanation:

7-pound bag of barley for $6.72

6.72 : 7 = 0.96

check your work: 0.96 x 7 = 6.72

so for the first offer you will be paying $0.96 per pound

312-ounce bag of barley for $28.08

1 pound = 16 ounces

312 ounces = 19.5 pounds

28.08 : 19.5 = 1.44

for the second offer you will be paying $1.44 per pound of barley. 7-pound bag of barley for $6.72 is a better buy because you will be less for each pound.

hope this helps!

Answer:

7-pound bag of barley for $6.72

Step-by-step explanation:

Answer:

Length = 7 ft

Breadth = 7 ft

Step-by-step explanation:

Let lenght of rectangle be x

and breadth be y

Area = [tex]49\ \text{ft}^2[/tex]

[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]

Permiter of a rectangle is given by

[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]

Differentiating with respect to y we get

[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]

Equating with zero

[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]

Double derivative of the equation

[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]

So the value of y is minimum at 7.

[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]

Hence, [tex]x=7,y=7[/tex]

The mimimum length and breadth of the rectangle is both 7 ft.

Answer:

[tex]\%Increase = 36\%[/tex]

Step-by-step explanation:

Given

[tex]Initial = 8.50[/tex]

[tex]Final = 11.56[/tex]

Required

Determine the percentage increase

Percentage increase is calculated using:

[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]

Substitute values for Final and Initial

[tex]\%Increase = \frac{11.56 - 8.50}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06}{8.50} * 100\%[/tex]

[tex]\%Increase = \frac{3.06 * 100\%}{8.50}[/tex]

[tex]\%Increase = \frac{306\%}{8.50}[/tex]

[tex]\%Increase = 36\%[/tex]

Hence, the percentage increase in price is 36%

Answer:

8

Step-by-step explanation:

cuz 272/34= 8

Answer:

[tex]{:}\longmapsto [/tex][tex]\sf {\dfrac {272}{34}}[/tex]

[tex]{:}\longmapsto [/tex][tex]\sf 8[/tex]

Answer:

One number is 43 and the other is -29

Step-by-step explanation:

If you add and subtract 36 it shows both possible answers, this is because it doesn't tell us if it is more or less than 7 so it could only be those 2 numbers

Step-by-step explanation:

Here is the answer...

Hope this helps you

Answer:

8:17

Step-by-step explanation:

Answer:

(6)(3)-5

Step-by-step explanation:

Step-by-step explanation:

company

answer is company hope it helps

Answer: company

Step-by-step explanation:

Answer:

#5 = $676.40

#6 = $522.50

Step-by-step explanation:

Lets start with number 5.

Marla earns $17.80 per hour. If she works 38 hours a week she will earn $(17.80*38) per week which is $676.40 per week

Now for number 6

He earns $11.00 an hour for a 40 hour work week. If he gets paid 1.5 that (1.5 his normal rate) for overtime and he has 45 hours vs his 40 hours, heres how we solve:

Solve for his pay on a normal week:

11 * 40 = 440 a week on a normal week

Find out how much overtime

45-40 = 5 hours

Calculate the pay for the overtime

(11*1.5) x 5 =

16.50 x 5 = 82.5

Add the two pays together

440 + 82.50 = $522.50

also #4 is not provided to me to solve so if you want it solved update this question to include it

Hope this helps :)

Answer:

the answer is d

Step-by-step explanation:

The characteristic of any function created by the product of two linear factors is; Choice D: has two x-intercepts.

According to the question;

The product of two linear factors results in a quadratic function.

Since a quadratic function is a polynomial of degree two, 2.

In essence, the resulting function created by the product of two linear factors has two x-intercepts.

Read more;

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Answer:[tex] \huge{ \boxed{ \bold{ \tt{ x = - 2}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 6x + 13 = - 5(7 + 6x) }[/tex]

Distribute -5 through the parentheses

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 5 \times 7  + ( - 5 )\times 6x}}[/tex]

[tex]\longrightarrow{ \sf{ - 6x  + 13 =  - 35 + ( - 30x)}}[/tex]

[tex] \text{Remember} : \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex]\longrightarrow{ \sf{ - 6x + 13 =  - 35 - 30x}}[/tex]

Move 30x to left hand side and change it's sign

[tex] \longrightarrow{ \sf{ - 6x + 30x + 13 = - 35}}[/tex]

Move 13 to R.H.S ( Right Hand Side ) and change it's sign[tex] \longrightarrow{ \sf{ - 6x + 30x= - 35 - 13}}[/tex]

Combine like terms

[tex] \longrightarrow{ \sf{24x = - 35 - 13}}[/tex]

The negative integers are always added but posses the negative ( - ) sign.[tex] \longrightarrow{ \sf{24x = - 48 }}[/tex]

Divide both sides by 24

[tex] \longrightarrow{ \sf{ \frac{24x}{24} = \frac{ - 48}{24}}} [/tex]

Dividing a negative integer by a positive integers gives a negative integer.

[tex]\longrightarrow{\sf{x = -2 }}[/tex]

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

L.H.S = -6x + 13

Plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 6 \times ( - 2) + 13}}[/tex]

Multiplying negative integers by a negative integer gives a positive integer.

[tex] \longrightarrow{ \sf{ 12 + 13}}[/tex]

Add the numbers : 12 and 13

[tex] \longrightarrow{ \sf{25}}[/tex]

R.H.S = -5 ( 7 + 6x )

plug the value of x and simplify

[tex] \longrightarrow{ \sf{ - 5(7 + 6 \times ( - 2)}})[/tex]

Multiplying a positive integer by any negative integer gives a negative integer.

[tex] \longrightarrow{ \sf - 5(7 + ( - 12)}[/tex]

[tex]\longrightarrow{\sf{-5(7 - 12)}}[/tex]

Subtract 12 from 7

[tex] \longrightarrow{ \sf{ - 5 \times ( - 5)}}[/tex]

[tex]\longrightarrow{\sf{25}}[/tex]

L.H.S = R.H.S

The value of x is -2 .

Hope I helped!

Best regards!

~TheAnimeGirl

Step-by-step explanation:

K=7,

F+G=K+7

F+G=7+7

F=7, G=7 proved

Answer:

(a) 0.1325

(b) 0.4045

(c) 0.463

Step-by-step explanation:

Let X denote the number of defective transistors.

The proportion of defective transistors is, p = 4/11 = 0.364.

All the transistors are independent of the others.

The random variable X follows a binomial distribution.

(a)

Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]

(b)

Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]

(c)

Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:

[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]

Answer:

-2

Step-by-step explanation:

the multiplication of -×- will be + so if-×-will be plus then -7 after multiplying will be + so

_2+7=5

Answer is 12! Gl on what ur doing!

Answer:

2.r=1.94

1. c=0.85x+51/x

Step-by-step explanation:

Answer:

the answer is 8.

Step-by-step explanation:

Brainliest? uwu

Answer:

8 :)

You round down. If it was 8.5 then you'd round up, anything below would be rounded down, for example, 8.4, 8.3, 8.2, 8.1.

Answer:

The sum of the squared deviations explained by the regression model is:

c. 48 mmol/L

Step-by-step explanation:

Average baseline triglyceride levels among 920 people = 0.926 mmol/L

Total sum of squared deviations, approximately = 160 mmol/L

Linear regression analysis of baseline triglyceride levels on physical activity levels had an R-squared = 0.30

Therefore, the sum of the squared deviations explained by the regression model = 160 * 0.30 = 48 mmol/L

Answer:

The answer is "[tex]\frac{1}{47}[/tex]".

Step-by-step explanation:

Although the five first players are red, the very first five cards are not spaded as the spad is a black card.  

Its chance of the final card mostly on deck being the ace of spades is therefore determined as:

[tex]= \frac{1}{\text{Number of remaining cards with the initial 5 cards}} \\\\= \frac{1}{47}[/tex]

Thus, [tex]\frac{1}{47}[/tex] here is the necessary chance.

Answer:

1/47

Step-by-step explanation:

52 cards

5 red

probability= last card ace of spades

First do, 52-5, which gives you 47, and last card ace of spades, is 1, so 1/47 is the answer

1/47!

Answer:

This would be the same as an isosceles right triangle. It would be 61ft x (square root of 2) = ~86.3ft

This is rounded of course...

The distance from from home to second base is 86.26 ft.

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Given that, a slow pitch softball diamond is actually a square 61 ft on a side.

A slow-pitch softball diamond is actually a square shape.

The side length of the square is 61 ft

Here ABCD is square. The length of the side is AB=BC=CD=DA=60 feet.

Consider the distance between home base to second base is the hypotenuse if we draw a right triangle using the diagonal across the square and two sides of the square.

Let us assume the diagonal distance from home to second base BD=x.

Let us find the distance from home base to second base by using Pythagorean Theorem:

Now, x²=61²+61²

x²=3721+3721

x²=7442

x=√7442

x=86.26 ft

Therefore, the distance from from home to second base is 86.26 ft.

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Answer:

x = - 10

Step-by-step explanation:

Step 1:

- 2x + 3x - 5 = 6 - 21          Equation

Step 2:

x - 5 = - 15          Combine Like Term

Step 3:

x = - 15 + 5       Add

Answer:

x = - 10

Hope This Helps :)

Answer:

x = 381.52

Step-by-step explanation:

We start by writing 92% in decimal form: 92% = 0.92

Now we want to find 92% of what number "x" equals 351, and write the equation in math form that represents such statement:

0.92 * x = 351

solve for "x" by dividing both sides by 0.92:

x = 351/0.92

which gives approximately:

x = 381.52

Answer:

any equation that include y = -2x

Step-by-step explanation:

if the equation has something like y = -2x + 4 or y = -5 - 2x is parallel

parallel lines have the same slope, the y intercept is not really important

Answer:

no

Step-by-step explanation: