You have inherited a large collection of audio compact discs and decide to purchase a HiFi system to play them. At the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. How many different HiFi systems are available to purchase from this retailer

Answers

Answer 1

Answer:

24

Step-by-step explanation:

Since at the retailer you find a choice of 4 CD players, 2 amplifiers and 3 sets of speakers. We have 4 different ways of selecting the CD players, we also have 2 different ways of selecting the amplifiers and 3 different ways of selecting the 3 sets of speakers.

So, the total number of different HiFi systems are available to purchase from this retailer is 4 × 3 × 2 = 24 .

So we have 24 different HiFi systems are available to purchase from this retailer


Related Questions

Solve the proportion 9/x = 18/5

Answers

Answer:

22.5

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Cross multiply:

9 * 5 = x * 18

Simplifying

9 * 5 = x * 18

Multiply 9 * 5

45 = x * 18

Reorder the terms for easier multiplication:

45 = 18x

Solving

45 = 18x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-18x' to each side of the equation.

45 + -18x = 18x + -18x

Combine like terms: 18x + -18x = 0

45 + -18x = 0

Add '-45' to each side of the equation.

45 + -45 + -18x = 0 + -45

Combine like terms: 45 + -45 = 0

0 + -18x = 0 + -45

-18x = 0 + -45

Combine like terms: 0 + -45 = -45

-18x = -45

Divide each side by '-18'.

x = 2.5

Simplifying

x = 2.5

slove this for me please​

Answers

Answer:

-10

Step-by-step explanation:

divide both sides by -4

simplify to v+8=-2

subtract 8 from both sides

v=-10

What is the value of A when we rewrite 4^x+3-4^x as A times 4^x

Answers

This looks simple I belive the answer would be 35 because 4^x + 31^x = 35^x

Please I need some help

Answers

Answer:

A

Step-by-step explanation:

Hope this helps

can you go to my profile and help me with my recent one. plzssss

Answer: A

Step-by-step explanation:

The product of Greg's height and 5 is 90

Answers

Answer:

450

Step-by-step explanation:

is the answer

The members of the Math team contributed a total of $9.10 for the party after their practice. Each member contributed the same amount of money in dimes only. How many members are in the team and how much money did everyone contribute? Give all possible answers.

Answers

Answer:

Number of possibilities

1) 91 members that contribute 1 dime each ($0.10)

2) 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

Step-by-step explanation:

A dime = $0.10 in dollars

We are told that:

The total amount contributed = $9.10 for the party after their practice.

Each member contributed the same amount of money in dimes only.

Let the number of members be represented as: x

Number of possibilities

We find the factors of $9.1

= 1, 0.7, 0.13, 9.1

= 1 × 9.1

= 0.7 × 13

= 0.13 × 70

Hence:

1) $0.10 × x = $9.10

x = $9.10/$0.10

x = 91

Therefore, from the calculation above, there are 91 members and each of them contributed the same amount which was 1 dime ($0.10).

2)

7($0.10 )× x = $9.10

x = $9.10/$0.70

x = 13

Therefore, from the calculation above, there are 13 members that contribute 7 dimes each ($0.10 × 7 = $0.70)

3) 13($0.10) × x = $9.10

x = $9.10/$0.13

x = 70

Therefore, from the calculation above, there are 70 members that contribute 13 dimes each ($0.10 × 13 = $0.13)

What do you think would happen if you kept writing zeros to the right of the decimal point in 1.000 and continued to divide ?

Answers

Answer:

The same thing would happen over and over again.

Can someone please help me?

Answers

Answer:

C

Step-by-step explanation:

4a+10=180

4a=170

a=42.5

42.5*2=85

Answer: C. 85.0 degrees

Step-by-step explanation: First you find a using the equation they gave you. A=42.5. Then you plug it into the measures of the angles. But just by looking at the angles you can tell 2a would be the largest so you just plug a in there and you get your answer!

0.52 X 2.1 =
Help i don’t understand

Answers

Answer:

1.092

Step-by-step explanation:

which number produces a rational number when multiplied by 0.5
a. square root of 3
b. 1/3 (1 over 3)
c. 0.555... (0.555 repeating)
d. square root of 16

Answers

Its B because 0.5 repeats n a rational number that is multiple by 0.5 its half of the number

Answer:

square root of 16

Step-by-step explanation:

the square root of 16 is 4 and 4 times .5 equals 2

i need help on this problem im stuck on it​

Answers

Answer:2.8

or

2.83333

Step-by-step explanation:

Given : A table is given to us . The table is ,

[tex]\begin{tabular}{|c|c|}\cline{1-2} \bf Day of week & \bf Minutes Spend \\\cline{1-2} Sunday & 23 \\\cline{1-2} Monday & 38 \\\cline{1-2} Tuesday & 42 \\\cline{1-2} Wednesday & 17 \\\cline{1-2} Thursday & 29 \\\cline{1-2} Friday & 10 \\\cline{1-2} Saturday & 11 \\\cline{1-2} \end{tabular}[/tex]

To Find : The total hours spend by Marisol on reading .

Solution : Total hours spend on reading will be equal to the sum of time taken by him each day on reading .

So , total time of reading will be ;

= (23 + 38 + 42 + 17 + 29 + 10 + 11) min

= 170 min .

= 120min + 50min .

= 2 hours 50mim .

[tex]\boxed{\red{\bf Correct\:option - [d]}}[/tex]

1-cos2a/1+cosa if 1/3 how much sin²a

Answers

Answer:

(1-cos2A) /(1+cos2A) =tan²A

Proof:

We know that,

cos(A+B) =cosA.cosB-sinA.sinB

=>cos2A=cos(A+A)

=>cos2A=cosA.cosA - sinA.sinA

=>cos2A=cos²A-sin²A

=>cos2A=(cos²A-sin²A)/(cos²A+sin²A

Since {cos²A+sin²A=1}

Divide the numerator & the denominator by (cos²A) to get,

cos2A = {(cos²A-sin²A) ÷cos²A} / {(cos²A+sin²A) ÷cos²A}

cos2A ={(1-tan²A)/(1+tan²A)}

Then,

1-cos2A = 1-[{(1–tan²A)/(1+tan²A)}]

1-cos2A =(1+tan²A-1+tan²A)/(1+tan²A)

1-cos2A=(2tan²A)/(1+tan²A)

And now.......

1+cos2A=1+[{(1-tan²A)/(1+tan²A)}]

1+cos2A={1+tan²A+1-tan²A}/{1+tan²A}

1+cos2A=2/(1+tan²A)

So now,

(1-cos2A)/(1+cos2A)= {2tan²A/(1+tan²A)}÷{2/(1+tan²A)}

={(2tan²A)(1+tan²A)}÷{2(1+tan²A)}

=tan²A

Step-by-step explanation:

make me as brain liest

Yumiko has a rectangular-shaped patio. She wants to double the area of the patio by increasing the length and the width by the same amount.
The length is 14 and the width is 10.

a. Write a function, in factored form, to calculate the number of feet Yumiko would need to add to the length and width.

b. What are the dimensions of the patio, rounded to the nearest hundredth feet?

I am not very good with completing the square and would like to understand it better. Any help would be very appreciated!

Answers

Answer:

For a rectangle of length L and width W, the area is:

A = L*W

In this case, we start with:

L = 14ft

W = 10ft

Then the initial area is:

A = 14ft*10ft = 140ft^2

a) Now she wants to increase the same amount in each measure, then the new measures will be:

L = 14ft + x

W = 10ft + x

Now we want this new area to be twice the one that we got before, then the equation will be:

(14ft + x)*(10ft + x) = 2*140ft^2 = 280ft^2.

b) Let's solve the equation:

(14ft + x)*(10ft + x) = 280ft^2

First lets distribute the multiplication:

140ft + x*10ft + 14ft*x + x^2 = 280ft

Now let's group terms with the same power of x.

x^2 + (10ft + 14ft)*x + 140ft - 280ft = 0.

x^2 + 24ft*x  - 140ft = 0.

Now we need to solve this quadratic equation, here we must use the Bhaskara equation for quadratic equations, and we will get two solutions for x.

[tex]x = \frac{-24ft +- \sqrt{(24ft)^2 - 4*140ft*1} }{2*1} = \frac{-24ft +- 33.7ft}{2}[/tex]

Then the two solutions are:

x = (-24ft - 33.7ft)/2 = -28.9 ft

This solution is negative, so it does not make sense and we can discard it.

x = (-24ft + 33.7ft)/2 = 4.85ft

This is positive, so we can use this.

Now we can find the new length and width:

L =  14ft + 4.85ft = 18.85ft

W = 10ft + 4.85ft = 14.85ft

-3 = 1 3/5 + m .
what is m

Answers

Answer:

m = -4 3/5   or   -4.6

Step-by-step explanation:

First, we need to isolate the variable, m. We subtract 1 3/5 on both sides of the equation, and then we should get -4 3/5 = m.

hope this helped !! :D

Please help!!! And explain step by step

Answers

Answer:

So I believe you are supposed to find the common denominator between the two so we know that 2 times 2 is 4 and 3 times 3 is nine, and when you multiply 2 and three you get 6. I believe the answer is (6).

Step-by-step explanation: A=6

PHOTO ADDED
NEED URGENT HELP

Answers

Answer:

A

Step-by-step explanation:

HELP ME 10 points I NEED HELP TIMED

A line passes through the points (8,-1) and (-4, 2).

What is the y-intercept of this line?

-4
-1
1
4 ?????!

Answers

Answer:

y = (-1/4)x + 1 so that the y-intercept is 1

Step-by-step explanation:

The slope is (-1 - 2)/[8 - (-4)] = -3/12 = -(1/4)

(-1/4) = (y - 2)/(x + 4) => -x - 4 = 4y - 8

-x + 4 = 4y

y = (-1/4)x + 1 so that the y-intercept is 1

Matthew is going on a trip to Hawaii and takes a limo to the airport. The driver says it will cost $20 plus 12 cents a mile. Matthew lives 50 miles from the airport. please hurry to answer

Answers

Answer:

$26

Step-by-step explanation:

Step one:

given data

cost of limo=$20

cost per mile= 12cent to dollar = $0.12

Step two:

let the total cost be y

and the number of mile be x

the model for the situation is

y=mx+c

Step three:

given x=50mile

y=0.12(50)+20

y=6+20

y=26

$26

Matthew will spend $26 to get to the hospital

Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)

Answers

Answer:

Step-by-step explanation:

Refer the attached picture for complete question

a) V(x)=x(11-2x)(17-2x)

B(x)=140

Side and volume cannot be negative

So, x> 0

11-2x>0   and 17-2x>0

[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]

Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]

b)For finding the greatest Volume

[tex]\frac{dV}{dx}=0[/tex]

[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]

[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]

x=7.155 , 2.177

Consider the graph

So, Volume at 7.155 is negative

Thus x≈2 gives the greatest volume

c)

Consider the graph .

It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]

So, Graph increasing interval is [-1,2] ∪[7,∞)

d)

At the point of intersection, both graph has the same value .

If A = –2x + 8 and B = 2x – 4, find an expression that equals 2 A + B
in standard form.

Answers

Answer:

Answer: -2x+12

Step-by-step explanation:

So, it says the expression equals 2A + B. That means you need to multiply the equation for A by 2 and then add the equation of B to it. The question is asking you to write it in standard form. It would look like this:

2(-2x+8) + 2x-4

-4x+16+2x-4

-2x+12

What’s the volume of this shape?

Answers

Answer:

V=72x³y³

Step-by-step explanation:

The formula to apply is;

V= l * w * h where

V= volume in units cubed.

l= length = 3xy

w=width = 4xy

h= height = 6xy

Substitute values in the formula as;

V= l*w*h

V=3xy * 4xy * 6xy ----find product for the numbers {3*4*6=72} then multiply by the product for x's {x*x*x =x³} that of y's {y*y*y=y³}

V= 72*x³*y³

V= 72x³y³  --------where xy are the units used.

Need help!!!! Don’t understand how to do this!

Answers

equation in slope intercept form: x= -2x+4

What is the distance between (8, -3)and (4,−7)?

Answers

Answer:

+4sqrt(2)

Step-by-step explanation:

Note that the horizontal distance is 8 - 4, or 4 (which is the "run") and that the vertical distance is -3 - (-7), or 4 (which is the "rise").  Applying the Pythagorean Theorem, we get:

distance = length of hypotenuse = +sqrt(4^2 + 4^2) = +4sqrt(2)

NEED HELP FOR THIS QUESTION! PLEASE TAKE A LOOK AT IT!!

Answers

Answer:

90g strawberry jelly, 6 sponge fingers, 315ml custard and 45g tinned fruit

Step-by-step explanation:

just divide everything by 4 to see the value for one and then multiply that value by three!

Please help!

Write the expression as a power of a:

(a^5)2

Answers

See attachment for math work and answer.

If the point (6, 9) is on the graph of an even function, what other point must also be on the graph?

Answers

Answer:

b/c it's an even function you know that  f(x) = f(-x) too  so whether you put in a positive X or a negative X you get the same answer  so you know.. that (-6,9) is also on the graph of this function

Step-by-step explanation:

Given that the function is even and we know that (6, 9) is on its graph, we know that (-6, 9) must also be on the graph.

Even functions:

A function f(x) is even if:

f(x) = f(-x)

Now, we know that the point (6, 9) is on the graph of our function, this means that:

f(6) = 9

And because our function is even, we must have:

f(6) = f(-6) = 9

Then the point (-6, 9) must also be on the graph of the function.

If you want to learn more about even functions, you can read:

https://brainly.com/question/5719984

its a geo match to the ? type thing

Answers

1) 1/2
2) 1/2
3) 2

I can explain if you have time

10y+15=7y+45
what does y equal

Answers

Answer:

10

Step-by-step explanation:

10y+15=7y+45

10y-7y=45-15

3y=30

y=10

hope it helps you!

Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. NEED THIS ANSWER NOWWWWWWWW

Answers

Answer:

Step-by-step explanation:

Let Lucas final grade be x

All Lucas grade will be 75, 78, 82, and 84 and x.

Average score = 95

Since we are not told what to look for, we can find the Lucas final grade.

Using the formula for calculating mean (average)

Mean = Sum of the score/total test taken

95 = 75+78+82+84+x/5

95 = 319+x/5

Cross multiply

95×5 = 319+x

475 = 319+x

x = 475-319

x = 156

Lucas final grade is 156

One sixth of Lucas final grade = 1/6 × 156 = 26

so like i really need some help

Answers

Answer:

B: distinct parallel lines

Step-by-step explanation:

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