for each final matrix, state the solution.

1 0 0 | 3
0 1 0 | -1
0 0 1 | 8

1 0 -6 | 11
0 1 4 | 7
0 0 0 | -2

1 0 2 | 9
0 1 -8 | 5
0 0 0 | 0

The cost of the washer based on the total cost of $1,800 of all three items is $442.86

How do represent the cost of the washer?

If we assume that the cost of the washer is x, based on that we can determine the cost of the refrigerator and the dryer while deriving from the cost of the washer as denoted below:

cost of washer=x

The cost of the refrigerator is $250 more than the cost of washer i.e. x+250

cost of dryer=0.5*x

cost of dryer=0.5x

total cost=x+x+250+0.5x

total cost=3.5x+250

total amount spent=1800

1800=3.5x+250

1800-250=3.5x

1550=3.5x

x=1550/3.5

x=$442.86

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Answer: S = K/4 - 790

Step-by-step explanation:

the problem tells us Ken = Sam times 4 + 790.

So you need to reverse it (or solve for Ken to find Sam).

Ken/4 = Sam + 790

Ken/4-790 = Sam

Using proportions, it is found that:

a) 36 pages should be of advertising and 12 pages should be of news stories.

b) 20 pages should be of retail advertising, 12 pages should be of national advertising and 4 pages should be of classified advertising.

c) $450,000 was earned by retail advertising, $270,000 was earned by national advertising and $90,000 was earned by classified advertising.

d) You will receive a bonus of $14,400 for last year's sales.

A proportion is a fraction of a total amount, and equations can be built to find the measures using a rule of three, that can be either direct or inverse, deriving from proportional relationships.

One example of application is for ratio problems, as fractions of the total amount are built from the ratios, as given in this problem.

For item a, we have that three times as much advertising as news stories are needed, hence 3/4 of the 48 pages are advertising, hence:

3/4 x 48 = 0.75 x 48 = 36.

Hence:

The remaining 12 are of news stories.

For item b, from the ratio of 5 to 3 to 1, we have that:

Hence:

In item c, from the same ratio as above, the advertising values are found as follows:

For item d, the bonus is calculated as follows:

1/50(450,000 + 90,000) + 1/75(270,000) = $14,400.

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Answer:

  (a) height: 44.5 m

  (b) shadow: 71.2 m

Step-by-step explanation:

You want building height and shadow length for angles of elevation 56° and 32°, given the shadow is 30 m when elevation is 56°.

The building height and shadow length are the sides opposite and adjacent (respectively) to the elevation angle in the right triangle that models the geometry. The trig function that relates these sides to the angle is the tangent function:

  Tangent = Opposite/Adjacent

(a) building height

Using the tangent relation, we have ...

  tan(56°) = (height)/(30 m)

  height = (30 m)(tan(56°)) ≈ 44.4768 m

The height of the building is about 44.5 meters.

(b) shadow length

Using the same relation with the building height known, we have ...

  tan(32°) = (44.4768 m)/(shadow)

  shadow = (44.4768 m)/tan(32°) ≈ 71.1778 m

The length of the shadow at an angle of 32° is about 71.2 m.

The ways to know know which school has higher athletic achievements relative to budget per student are:

Analia thought of two different ways to define this quantity. Identify these two definitions among the following options.

% of students in sports club divided by SAT average

the number of sports medals won divided by SAT average

To determine which school has higher athletic achievements relative to the SAT average, according to the two definitions will be that Did you get the same result for both definitions?

No. The definitions have opposite results.

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Analia wants to know which school has higher athletic achievements relative to the SAT average. 1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options. Choose 2 answers: Choose 2 answers: (Choice A) A % of students in sports club divided by SAT average (Choice B) B Graduation rate divided by SAT average (Choice C) C Number of sports medals won (Choice D) D Number of sports medals won divided by SAT average 2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions? Choose 1 answer: Choose 1 answer: (Choice A) A Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (Choice B) B Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (Choice C) C No. The definitions have opposite results.

Answer:

9

Step-by-step explanation:

We can determine the number of bowls that can be made by dividing the size of the bowl by the amount of soup. 1 1/8 can be expressed as 8/8 + 1/8, or 9/8. (9/8)/(1/8) = 9. The chef can fill 9 bowls of soup.

Mushroom soup sounds pretty good right now ngl

Answer:

x=3

Step-by-step explanation:

3 times (2x+5)-23=10 can be rewritten as 3(2x+5)-23=10

6x+15-23=10 ----> Use distributive Property

6x-8=10 ------------> Combine Like Terms

6x=18 -----------------> Use inverse operations; add 8 on both sides; simplify

x=3 ---------------------> Use inverse operations, divide by 3, simplify

Answer:

X=3!

Step-by-step explanation:

1) 6x - 8 = 10

2) + 8 +8

3) 6x = 18

Solution: X=3

Answer:

[tex]2a^2b*(3a^2-5ab-3b^2)[/tex]

Step-by-step explanation:

Attempt factorization by grouping

(((6•(a^4))•b)-((10•(a^3))•(b^2)))-((2•3a^2)•b^3)

(((6•(a^4))•b)-((2•5a^3)•b^2))-(2•3a^2b^3)

(((2•3a^4) • b) -  (2•5a^3b^2)) -  (2•3a^2b^3)

6a^4b - 10a^3b^2 - 6a^2b^3  =  2a^2b • (3a^2 - 5ab - 3b^2)

Pull out the leading term and put it with the original equation

= 2a^2b • (3a^2 - 5ab - 3b^2)

This would be one of the quicker ways to factor this equation.

Hope this helps.

Answer:

3. 7

5. 8

7. 15

9. 6

10. 1

Step-by-step explanation:

Answer:

8 boys.

Step-by-step explanation:

Lets say b is the number of boys and g is the number of girls.

We know that:

23 = b + g

g = b + 7

So then lets solve for b:

23 = b + g

23 = b + ( b + 7)

Simplify.

23 = 2b + 7

Subtract 7 from both sides to isolate the b.

16 = 2b

Divide both sides by 2.

8 = b

So there are 8 boys in the class.

We can check our work by substituting the value of b into our equation.

23 = b + ( b + 7)

23 = 8 + ( 8 + 7 )

23 = 8 + 15

23 = 23

So therefore our answer is correct.

D. (x + 5)

 We have to find the factor of this expression which matches to the options.

7450.56 is the correct answer

Answer:

Step-by-step explanation:

Answer to number 1 is a slope of -3 and the y=-3x-26 For number 2 the slope is 5 and y=5x+5 and for number 3 the slope is 2/3 and b is y=2/3x-20/3 for number 4 its 4 in the x section and 5 for the y section number 5 is --5 and for number 6 its -12. I found the slopes by using this formula y2-y1/x2-x1 and for the b I used y=mx+b and used one of the points to figure it out! I hope this helped out :3

Answer:

2

Step-by-step explanation:

f(-3) represents f(x) evaluated at x=3.

[tex]f(-3)=(-3)^2+2(-3)-1 \\ \\ =9-6-1 \\ \\ =2[/tex]

On 50th day she needs to buy new bags of rice.

A sequence is defined as an arrangement of numbers in a particular order.

Sequence: 0.4, 0.8, 1.2, 1.6,......20

a=0.4, d=0.4, a_n= 20

Now,

we have to find in how many days 20 pounds rice will ends

So,

a_n= a + (n-1 )d

20 = 0.4 + (n-1) * 0.4

19.6 = (n-1)0.4

19.6/0.4= n-1

49 = n-1

n= 50

Hence, on 50th day she needs to buy new bags of rice.

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Answer:

(V - U) - 10

Step-by-step explanation:

Answer:

The answer is not that clear: But for 16.4 it isn't correct because you need to round it from 16.468 to 16.5. so therefore the answer is <

Given the values of the volume and radius, the height of the cone is 15 inches.

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Given the data in the question;

Plug in the given values and solve for h.

V = (1/3)πr²h

h = 3V / πr²

h = ( 3 × 405π in³ )/( π × (9in)²

h = ( 3 × 405 in³ )/( 81 in² )

h = ( 1215 in³ )/( 81 in² )

h = 15 inches

Given the values of the volume and radius, the height of the cone is 15 inches.

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Answer:

Step-by-step explanation:

well what even is the question all i see is graphs

The number of employees decreased by 18 percent

The formular for percent decrease is

old value-new value/old value × 100

old value= 1500

new value= 1230

1500-1230/1500 × 100

= 270/1500 × 100

= 0.18 × 100

= 18

Hence the number of employees decreased by 18 percent

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Answer: 26.78 27.08 27.8 27.88

Step-by-step explanation:      

1: Using a Place Value Chart, compare the whole numbers in your list of decimals.

2: Set up a table for the remaining numbers.

3: Transfer the decimals from your math problem into the table.

4: Compare the digits in the tenths column of the table

5: Compare the hundredths column (2 to the right of the decimal point).

6: Examine the digits in the thousandths column.

7: Order the numbers from least to greatest.

- 27.08 - 2nd because 0 is the least/lower number than 8 (tenths value)

- 27.88 - 4th because there are two numbers after the decimal which are greater than the others (tenths & hundredths value)

- 27.8 - 3rd because there is only one number after the decimal (tenths value)

- 26.78 - 1st because 6 is the least number than 7 (tens value)

Explanation in words (Short Form)

- Using the place value chart I can count the lowest number in the tens value that will be the first least number. I will progress my way up until I will eventually find the least to greatest numbers because of there decimal points and numbers after the decimals.

Reference: Place value chart

Answer:  

26.78, 27.08, 27.8, 27.88

Hope this helps.

Answer: 8 and 9

Step-by-step explanation: 51768 ÷ 9 = 5752

51768 ÷ 8 = 6471

Answer:

9

Step-by-step explanation:

The digits of 51768 add up to a multiple of 9

Using the numeric value of functions, it is found that:

To find the numeric value of a function, we replace each instance of the variable by the desired value.

The formula for the velocity is given as follows:

[tex]v = 8\sqrt{h}[/tex]

In which h is the height.

For this problem, we have that the height is of h = 9.8, hence:

v = 8sqrt(9.8) = 25 feet per second.

The holder was running at a rate of 25 feet per second.

Then, in two seconds, the distance is given as follows:

d = 25 x 2 = 50 feet.

The pole vaulter will run 50 feet in 2 seconds.

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Answer:

(1). 3   (2).1   (3) -2   (4). -6   (5). -5  (6). 3  (7). -13  (8). 1  (9). -2  (10). -8  (11). -13  (12) -49  (13). -32  (14) -27  (15). 64  (16). 36  (17). 81  (18). 21  (19). 48

Step-by-step explanation:

i do not know if you still need these answers but here they are

Answer:The answer would be 6a(4b4 +2b3 -3b2)

Step-by-step explanation:All you have to do is take 6a out of each number and put the 6a outside of parenthesis and put the rest of the equation in parenthesis.

Given the central angle and radius of the sector, the area of the shaded region is 28.26cm².

A sector is simply a part of the area of a circle bounded by the central angle and its intercepted arc. The area of a sector is expressed as;

A = (θ/360) × πr²

Given the data in the diagram;

To determine the area of the shaded region, plug the given values into the formula above and solve for A.

A = (θ/360) × πr²

A = (90/360) × 3.14 × (6cm)²

A = (1/4) × 3.14 × 36cm²

A = 3.14 × 9cm²

A = 28.26cm²

Given the central angle and radius of the sector, the area of the shaded region is 28.26cm².

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