3. a) The dimensions of your game cover are 20 cm x 15 cm. However, you need to have a strip of
constant width around the border for labeling purposes (game console type, etc). This width will
take up 32% of your game cover's total space. What is the width of the border? Make sure to
state any values that don't make sense.

Answers

Answer 1

20cm×15 cm =300

32

/100 = 0.32

Answer 2

9514 1404 393

Answer:

  1.5 cm

Step-by-step explanation:

All areas are in cm^2. For a width w, the border will have an area equal to the product of its centerline length and its width:

  border area = 2((20-w) +(15-w))·w = w(70 -4w)

This area is 32% of the total cover area, so is ...

  0.32(20)(15) = 96

Equating these expressions for the area gives ...

  96 = 70w -4w^2

  w^2 -17.5w = -24 . . . . . divide by -4

  w^2 -17.5w +8.75^2 = -24 +8.75^2 . . . . . complete the square

  (w -8.75)^2 = 52.5625 . . . . simplify

  w -8.75 = ±√52.5625 = ±7.25

A border width only makes sense if it is between 0 and 7.5 cm, so the appropriate value for w is ...

  w = 8.75 ± 7.25 . . . . . . . . . add 8.75

  w = 8.75 -7.25 = 1.50 . . . . . the solution w=16 makes no sense

The border width is 1.5 cm.


Related Questions

What is the area, in square meters, of the rhombus above?

Answers

Answer:

C

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

In order to find the answer you would need to multiply 7 square meters by 7.9 square meters which would get 55.3 square meters.

Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.

Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.

Part B: How much would the repairs be if it took 3 hours?

Part C: What is the meaning of the slope in Part A?

Part D: What is the meaning of the y-intercept in Part A?

Answers

Answer:

a  75x+165=y

b  75(3)+165=390

c   75x is the cost increasing for each hour

d  y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

I need quick help pls!!!

Answers

Answer: 3 root 2

Its the third answer

Step-by-step explanation:

please please help

The rectangular patio shown in the diagram below is enclosed on three sides by a fence.
Patio
w
House
The area of this patio is no more than 400 square feet. The total length of the three sides of
this fence is no more than 60 feet. Which system of inequalities can be used to find values of
1, the patio's length, and w, the patio's width, that will satisfy these conditions?

Answers

Answer: A

i had looked up another question on my quiz thing and an old staar test popped up and this was one of the questions with the answer, i also had this question on my quiz.

Pls answer a and b!!!!!

Answers

Answer:

a) the answer is 2/21

b) the answer is 6

And the first one is 2/12
The 2 one is 6

What is

-2/3
-
5/6

?
Math/honors math/ Mathematics

Answers

Answer:

-3/2 is your answer !!!!

Answer:

[tex]-1\frac{1}{2}[/tex]

Step-by-step explanation:

Trust me it's right...lol

Plz solve this as soon as possible it is due today, all it is is yes or no

Answers

Answer:

1 Rational, Integer

2 Rational

3 Rational, Whole

4 Rational , Whole

5 Rational

6 Rational

7 Rational

8 Rational

Step-by-step explanation:

Pretty sure this is correct

Simplify an expression for the PERIMETER of the equilateral triangle shown below.

Answers

The answer is 180 if right

I need help my teacher didn’t even explain how to do this

Answers

Answer:its b

first off its a straight line ill give it that but its not going through the origin is think its b

hoped this helped lmk if it did

Two more than eleven times a number is equal to 24. What is the number?

Answers

Answer:

2

Step-by-step explanation:

24/ 11 = 2 2/11

so, we have 2 and 2/11

11x2 = 22 + 2 = 24

What is the solution of the equation:
[tex] \sqrt{5 - 2x } = 3i[/tex]

O 1
О 4
O 7
О -2​

Answers

7
Because 5-2 is seven so x =7

Can someone pls help me

Answers

Answer: x = 7

Step-by-step explanation:

7x+9=58

8x+2=58

These are congruent angles so they are the same value.

you flip a coin twice what is the probability of getting tails then getting heads

HELP ASAP

Answers

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

Just need 15 and 16 help will mark as brainliest answer

Answers

Behind that one that 2 that 3 00000 break it down chop it up 2 a half 2 a whole

Answer:

15. 12, 16. 18

Step-by-step explanation:

a = pi*r^2

15) 36pi = pi*r^2 --> 36 = r^2 --> 6 = r --> 12 = d

16) 81pi = pi*r^2 --> 81 = r^2 --> 9 = r --> 18 = d

Tareq pays $22.10 for 2.6 pounds of salmon. What is the price per pound of the salmon?

Answers

Answer: $8.50/pound

Step-by-step explanation:

Price per pound --> take the total price and divide it by the number of pounds

$22.10 / 2.6 pounds = $8.50/pound

Answer:

$8.50

Step-by-step explanation:

take 22.10 divide it by 2.6 and you will get your answer.

Hope this helps

What is the value of the expression 1/2-(-1/3+2/5)

Answers

answer 13/30

or 0.43 repeating

Step-by-step explanation:

If one item cost $0.79 and I paid $3.16 at the register, how many items did I buy

Answers

Answer:

You bought 4 items.

Step-by-step explanation:

3.16 divided by 0.79 = 4

Answer:

You bought 4 items because 0.79 x 4 = 3.16

Step-by-step explanation:

Which function represents the Inverse of function below?

Answers

Answer: The answer that you’re looking for is D. [tex]p(x)=\frac{1}{3}x-\frac{5}{3}[/tex]. Brainliest?

Step-by-step explanation:

Ellie took a taxi from her house to the airport. The taxi company charged a pick-up fee of $1.50 plus $5 per mile. The total fare was $76,50, not including the tip. Write and solve an equation which can be used to determine m, the number of miles in the taxi ride.


I dont understand this​

Answers

Answer:   1.50+5m=76.50 m=15

Step-by-step explanation:

The required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .

Now it is given that,

pick-up fee = $1.50 plus $5 per mile

Since, m is the number of miles in the taxi ride

So, equation for pick-up fee for m miles,

pick-up fee = $1.50 + $5m

Now total fare = $76,50

Thus, required equation to determine m is given as,

1.50 + 5m = 76.50

Subtracting 1.5 both the side we get,

1.50 + 5m - 1.5 = 76.50 - 1.5

⇒ 5m = 75

or, m = 75/5

⇒ m = 15

Thus, the required equation is 1.5 + 5m = 76.50 and distance travelled is 15 miles.

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https://brainly.com/question/25271125

#SPJ2

I’ll give Brainly but pleaseee help

Answers

fruit adult = 26
fruit total = 52
vegetable child = 14
total child = 40
total adult = 50

HELPP HELP IM FAILING THIS CLASS

Answers

Answer:

Area=572.56

Step-by-step explanation:

A=1/4πd2

Area=1/4 x pi x diameter squared.

Answer:

thanks for the free points and the anwser is 5

Step-by-step explanation:rqwafs

3q2rr

HELPP Its due rnnn , ANYBODYYYYY help meeee lollll

Answers

Answer:

The first one is C and I don't know what the other one is

Find the measure of each side indicated. Round to the nearest tenth.​

Answers

Answer:

Step-by-step explanation:

to find x we can use tangent function

tan 31= x/9

0.60=x/9

x=0.60*9=5.4 choice B

The measure of x side.

We have given a right angle triangle whose angle A=31 degrees and two sides that is x and 9.

We have to determine the value of x.

Therefore we use here the trigonometric ratio

What is the tan ratio?

[tex]tan\theta=\frac{opposite side}{adjacent side}[/tex]

Therefore we get

tan 31= x/9

tan(31)=0.60

0.60=x/9

Isolate the x

x=0.60*9

x=5.4

Therefore option B is correct.

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X=0 answer answer answer

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Thank you!

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Answer: 20ft

Step-by-step explanation:

Slove the system of equations by useing the substitution method. 2x - 3y=9 y=x-4​

Answers

Answer:

x = 3

y = -1

Step-by-step explanation:

in this system, we are given that y = x - 4

this means that we can take the other equation and replace y with x - 4:

so 2x - 3y=9 turns into

2x -3 (x - 4) = 9

distribute -3 to x and -4:

2x - 3x + 12 = 9

add like terms and subtract 12 from both sides

-x = -3

divide both sides by -1 to get rid of the negative on x:

x = 3

now we have the value of x, so we can replace the x in y = x - 4 with the value we just got

so y = x- 4 turns into

y = (3) - 4

solve and you get

y = -1

A recent survey suggests that 47% of all televisions are connected to the internet, 32% are voice controlled, and 22% are both connected to the internet and voice controlled. Suppose a television is selected at random and it is voice controlled. What is the probability that a randomly selected voice-controlled television is also connected to the internet?

A. 0.15
B. 0.47
C. 0.69
D. 0.79

Answers

Answer:

0.69

Step-by-step explanation:

Here, we want to find the probability that a randomly selected television is connected to the internet given that it is voice-controlled

let P(V) is the probability of selecting a voice controlled television

P(I) is the probability that a selected television is connected to the internet

So the probability we want to calculate according to Baye’s theorem will be;

P(I|V) = P(I n V)/P(V)

P( I n V) = 22%

P(V) = 32%

So the probability is;

22%/32% = 0.6875 which is approximately 0.69

Answer: 0.69

Step-by-step explanation:

..............................................................................

Answers

Answer:

-5 ,3 ...

Step-by-step explanation:

thats all i can think of ..,..

8. Gisele spins a spinner that has equally
sized yellow, green, blue and red
sections. What is the probability that
Gisele spins orange?

Answers

Answer:

0

Step-by-step explanation:

it was never stated that there was orange on the spinner

Simplify all four questions correctly-
(p - 3) + (p - 7)

(3n - 1) + ( -n + 4)

(-t + 5) + (3t + 2)

(7k + 9) + (4k - 3)

Answers

Answer:

1. 2p - 10

2. 2n + 3

3. 2t + 7

4. 11k + 6

Step-by-step explanation:

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