Isabella needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 4.25 hours and charged her $144
for parts. The total was $547.75. Which equation or tape diagram could be used to
represent the context if a represents the cost of labor per hour?

Answer:

Step-by-step explanation:

Discussion

The numbers on each die are 1 to 6.

They are all equally likely to turn up. There are 36 possibilities in all 6*6

So getting a 10 can be done in 3 ways.

6 + 4 = 10

4 + 6 = 10

5 + 5 = 10

You can't get 10 any other way.

So of the 36 ways of throwing 2 dice, only 3 will work.

Answer

P(10)= 3/36 = 1/12 = 0.0833333...

The given triangle is 6.5 ft2.

Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon includes a triangle. Triangles have three sides. The sides of the triangle ABC are AB, BC, and CA.

The given triangle can be redraw as

Area of the rectangle is (39/2) × 48 (in)2 = 936 in2

1 ft = 12in

1/12 ft = 1in

(in)2 = (1/12)2 (ft)2

          = 1/144 (ft)2

936 (in)2 = 936 × 1/144 (ft)2

          =6.5 (ft)2

Hence, the given triangle is 6.5 ft2.

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Answer: 29°

Step-by-step explanation:

(2x-2)° + (x+5)° + 90° = 180°

(2x-2)° + (x+5)° = 90°

(2x + x)° = 87°

(3x)° = 87°

x° = 29°

The solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

According to the given question.

We have a linear equation in two variables 2r - 2p = n.

Here we have to solve the given linear equation 2r - 2p = n in two variables for p.

So, the solution of the equation 2r - 2p = n for p is given by

2r - 2p  = n

⇒ 2(r - p) = n    (taking 2 as a common)

⇒ r - p = n/2     (dividing both the sides by 2)

⇒ r - n/2 - p = 0     (subtracting n/2 from both the sides)

⇒ r - n/2 = p            (adding p both the sides)

⇒ p = r -n/2

Hence, the solution of the given linear equation 2r−2p= n in two variables for p is r -n/2.

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Answer:

1. x = 9

2. x = 4

3 x =

4. x = 10

5. x =

6. x = 11

7. x = -1

8.x =

9. x = -4

10. x =

11. x = 10

12.x = -10

The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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The total amount spent on gas is $9.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition.

In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour.

The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour

2 x 3 x $2.25 = $9

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Answer:

Step-by-step explanation:

The total amount spent on gas is $9.How much is spent on gas?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. Multiplication is the method that is used to add a number by itself a particular number of times. The sign used to denote multiplication is x. Other mathematical operations are subtraction, division and addition. In order to determine the total amount spent on gas, multiply the cost of one gallon by the number of hours skied and the amount of galloons used per hour. The total amount spent on gas = cost of one gallon of gas x number of hours skied x number of gallons used per hour 2 x 3 x $2.25 = $9To learn more about multiplication, please check:

Answer:

f(8) = 108

Step-by-step explanation:

Hello!

Substitute 8 for x in the equation.

f(8) is 108.

Answer: get a verified 340

Step-by-step explanation:

Answer:

Step-by-step explanation:

z=9(x+2)

z=9x+18

Subtract 18 from both sides

z-18=9x+18-18

z-18=9x

Divide both sides by 9

z-18/9 =x

Therefore

X= z-18/9

The prime costs per unit (rounded to the nearest cent) for September were  $7.05 per unit.

In economics, total cost is the sum of all costs a company incurs in generating a certain output level.

Now, as per the question;

Prime cost = (cost of direct material + cost of direct labour)/number of units.

Cost of direct materials used = $66,000

Cost of direct labour = $75,000

Number of units = 20,000

Substituting the values;

= ($66,000 + $75,000) / 20,000 units

= $141,000 / 20,000 units

= $7.05 per unit

Thus, the prime cost per unit in September is found to be $7.05 per unit.

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62°

A line is a simple, one-dimensional shape that can go on forever in the opposing directions. A line may be vertical or horizontal. It can be drawn either top to bottom or left to right.

When the ends of two rays collide at a single location, an angle is the geometry that results. They are measured in degrees (°) or radians. A 360-degree angle is the same as a whole rotation. It is symbolized by the character "∠"

∠1+∠2 = 35° +27°

             =62°

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The linear equation to calculate the height is H(t)=33t.

Given that the elevator descends at the speed of 33 feet/second.

If a person gets on the elevator at the observer deck and after 10 seconds he finds himself at 1490 feet above the ground then height descended  in 10 seconds= 33×10

                                         = 330 feet

The height of the observer deck from the ground = 1490+330

                                                                             = 1820 feet

The required equation to calculate the height of above the ground H(t)=33t.

We can calculate  the height of the elevator at any instant using the above expression.

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Answer:

The average salary is $57,500

Step-by-step explanation:

You would find the total salaries and divide that by 40 because there were 40 people: 18 + 10 +8 + 2 + 2

To find the total salaries"

18(50,000) + 10(60,000) + 8(75000) + 2(90,000) + 2(10000) = 2300000

2300000/40 = 57,500

The price of a clematis vine, rose bush, and peony plant is given by a set of three linear equations with three variables: 29, 14, 13.

A linear equation is one that has a degree of 1 as its maximum value .In a linear equation, no variable has an exponent bigger than 1, thus.. A linear equation's graph will always be a straight line.

An algebraic equation known as a linear equation has an exponent of 1 for each term, and when it is graphed, it always yields a straight line.

According to given data;

let c is price of clematis vine

let r is price of rose

P is price of peony plants.

bush

c=2p+3

r=c+5+

=3c + 4r+ 2p = 233

b) putting(1) in 2

a 2p+ 3 + 5 2 p +8 -9 putting(1) and (4)in 3

3(2p+3)+4(2p+8) + 2 p² 233

2

6p+9+8p+16+2p = 233

16p=25=233

16 p= 233-25

16p = 208

p=208÷13

p= 13

putting value of p in (1)and(4)

c= 2 p +3

=2X13+3

C = 29

r= 2p+8

 =2×13+8

 =34

price of clematis vines =29

rose bush = 34.

peony plants = 13.

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The total goal distance Sarah run is 7/8.

The distance covered by Sarah is found to be more than Tori.

A number's exponent indicates what many times a number has been multiplied by itself. For instance,  2×2×2×2 can be composed as 2⁴.

If a fraction does have a negative exponent, we take its reciprocal to make this same exponent positive.

If a fraction does have a negative exponent, we take its reciprocal to create the exponent positive.

Some properties of exponents are-

Now, as pet the given question;

Tori has covered 2⁻³ of the total distance;

Thus, it can be written as;

= 1/2³

= 1/8

Lets consider the total distance covered by both of them is 1.

Then, the distance covered by Sarah will be;

= 1 - 1/8

= 7/8

Thus, the distance covered by Sarah is 7/8.

As, 7/8 > 1/8

Therefore, the distance covered by Sarah is more than Tori.

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The equivalent expression to -1/3-(-5/12) is 1/12.

From the information, the expression given is -1/3-(-5/12).

Therefore, this will be computed thus:

= -1/3-(-5/12)

= - 1/3 + 5/12

= 5/12 - 1/3

= 5/12 - 4/12

= 1/12

Therefore, the equivalent expression to -1/3-(-5/12) is 1/12.

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The points in the brackets are on the graph are (0, 2) and (6, 10)

The equation of the line is given as

4x - 3y = -6

The points are given as:

{(0,2),(1,3),(4,7),(6,10)}

Rewrite as

(x, y) = {(0,2),(1,3),(4,7),(6,10)}

Next, we substitute the x and y values in the equation 4x - 3y = -6

So, we have

(0, 2):

4(0) - 3(2) = -6

-6 = -6 ---- true

(1, 3):

4(1) - 3(3) = -6

-5 = -6 ---- false

(4, 7):

4(4) - 3(7) = -6

-5 = -6 ---- false

(6, 10):

4(6) - 3(10) = -6

-6 = -6 ---- true

Hence, the points in the brackets are on the graph are (0, 2) and (6, 10)

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Answer:

15.75

Step-by-step explanation:

1/2 * b*h*l

1/2 * 4.5 * 3.5 * 2

Answer:

10.5

Step-by-step explanation:

Firstly, you must multiply the length and width of the rectangular base to get its area.

Then, you certainly must multiply the base area with the height of the pyramid.

Last but not least, divide the result from step 2 by three, and you will get the volume of a rectangular pyramid.

The inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

The inequality is given as:

20 ≥- 3.2(c - 4.3)

Divide both sides of the inequality by -3.2

So, we have:

20/-3.2 ≥ -3.2(c - 4.3)/-3.2

Evaluate the quotient

-6.25 ≤ (c - 4.3)

Remove the bracket in the above inequality

So, we have:

-6.25 ≤ c - 4.3

Rewrite the above inequality as

c - 4.3 ≥ -6.25

Add 4.3 to both sides of the inequality

c  ≥ -1.95

This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

See attachment for the graph of the inequality

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The percentage of fat in this hamburger sample is 15 %.

Percentage is the value per hundredth.

According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.

To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.

∴ (30/200) × 100

= 3000/200

= 30/2

= 15 %.

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The length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

We are given a triangle EFG.

In this triangle, we can see that:

∠ E = ∠ F = 23°

Now, we know that the sides opposite to the equal angles are also equal.

So, the side opposite to angle E is GF

And the side opposite to angle F is EF.

This means that EF will be equal to GF.

EF = GF

Now, we are also given that GF = 18 inches.

So, EF will also be:

EF = 18 inches.

Therefore, we get that, the length of the side EF will be 18 inches as the sides opposite to the equal angles are also equal.

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The best description of the domain of the function is (c) all whole numbers

The function is given as

C(t) = 0.05t + 20

The input variable of the above function is t

t represents the number of text messages

The number of text messages cannot be negative

Hence, the best description of the domain of the function is (c) all whole numbers

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Answer: 0.4<0.5

Step-by-step explanation:

The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.

Let hotdogs = h

Let hamburger = x

The expression will be:

h + x = 3.25

h + 7x = 12.25

Subtract the functions

6x = 9

x = 1.5

Therefore, hot dogs will be:

= 3.25 - 1.5

= 1.75

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At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.

Answer:

a) P(X < 24) = 0.1151

b) P(24 < X < 36) = 0.7698

c) X value for P(x < X) = 0.95 is X = 38.225

Step-by-step explanation:

a) P(X < 24)

Since μ = 30  and   σ = 5 we have:

[tex]\text {z value = } \dfrac{24-30}{5}} = -1.2[/tex]

P(X < 24) =  P(Z < -1.2) = 0.1151
You can use a calculator or the standard normal tables to determine P(Z < -1.2)

b) P(24 < X < 36)

First find P(X < 36) using the technique detailed in part a)

For 36, the Z value is  
[tex]\dfrac{36-30}{5} = 1.2[/tex]

P(X < 36) = P(z < 1.2) = 0.8849

P(24 < X < 36) = P(X < 36) - P(X < 24) = 0.8849 - 0.1151 = 0.7698

c) X value below which 95% of the area is covered

Using a calculator (or tables) the z value corresponding to P(z < Z) = 0.95 is Z = 1.65(approx)

[tex]\text{We have } \dfrac{X - \mu}{\sigma} = z\\\\\dfrac{X - 30}{5} = 1.645\\\\\text{Multiplying both sides by 5: }\\\\X - 30 = 1.645 \times 5 = 8.225\\\\X = 30 + 8.225 = 38.225[/tex]

So X value is 38.225-

From -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

Here we have the table:

You can see that:

g(-1) = 2

g(0) = 0

So the function goes downwards from x = -1 to x = 0.

g(1) = 4

So the function goes upwards between 0 and 4.

Then, from -1 to 0, the function goes decreases, and from 0 to 1 the function goes increases. Then we will have the minimum between -1 and 1.

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Answer:

39

Step-by-step explanation:

1x3=3 9x3=9 so together 39

The specific volume is 0.0135 ft^3

The density is 74.07 lb/ft^3

Here,

A 2-lb sample of an unknown liquid occupies a volume of 47.6 in^3.

We have to find the specific volume and density.

What is Specific volume?

Volume is a measure of the amount of space occupied by an object.

Now,

Mass = 2 lb

Volume = 47.6 in^3

            = 0.027 ft^3

Hence, Specific volume = volume/ mass = 0.027/2 = 0.0135 ft^3

And, Density = mass/ volume = 2/ 0.027 = 74.07 lb/ft^3

So, The specific volume is 0.0135 ft^3

The density is 74.07 lb/ft^3

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