The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x = the length of the iPad Air and y = the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x + 2y = a
bx = cy-d
The value of a is:
A The value of b is:
A The value of c is:
Ą The value of d is:
1

Answers

Answer 1

Answer:

a = 820, b = 1, c = 2, d = 100

Step-by-step explanation:

Let x represent the length of the iPad Air and y represent the width of the iPad Air. Since the perimeter of an iPad Air is 820 mm, hence:

2(length + breadth) = 820

2(x + y) = 820

2x + 2y = 820               (1)

Also, the length is 100 mm less than twice the  width. Therefore:

x = 2y - 100               (2)

Given that the equations be used to model this situations is:

2x + 2y = a

bx = cy-d

Therefore comparing this model with equation 1 and 2, we get that:

a = 820, b = 1, c = 2, d = 100


Related Questions

How many square millimeters are covered with paint? Express the answer in terms of π.

336π square millimeters
400π square millimeters
416π square millimeters
464π square millimeters

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Answer:

336π square millimeters

Answer:

A

Step-by-step explanation:

A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what is the average speed for the entire trip, in miles per hour?

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Answer:

The answer is x = 1800

Step-by-step explanation:

Hope this helps :)

Have a nice day.

What is the area of the parallelogram ?

Answers

Answer:

Step-by-step explanation:

[tex]Sin \ 30 = \frac{opposite \ side}{hypotenuse}\\\\\frac{1}{2}=\frac{h}{6}\\\\\frac{1}{2}*6=h\\\\3 = h[/tex]

h = 3 cm

Area of parallelogram = b * h

                                    = 6 * 3

                                     = 18 sq.cm

Explain why ac is equal to
Bc

Answers

Answer:

because length is same I hope it will help you please follow me

Anyone good at Ks3 math?

Answers

Answer:

210 Km

Step-by-step explanation:

Distance travelled is calculated as

distance = speed × time ( time is in hours )

              = 90 × 2 [tex]\frac{1}{3}[/tex]

             = 90 × [tex]\frac{7}{3}[/tex]

            = 30 × 7

            = 210 Km

Graph the first six terms of a sequence where a_1=4 and r=2

Answers

Step-by-step explanation:   The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).

QUICK PLS!
Which question is best modeled with a division expression?

How much does it cost to buy 3 and one-half pounds of apples at $2 per pound?
How many apples are needed for 2 pies if the recipe uses 3 and one-half apples per pie?
How many more apples are needed if a recipe uses 3 and one-half apples and you only have 2 apples?
How many apples are in each pie if a total of 3 and one-half apples were used to bake 2 pies?

Answers

How many apples are in each pie if a total of 3 and one-half apples were used to bake 2 pies?

Here you will have to divide the data.

Suku kedua belas dari barisan bilangan 8, 15, 24, 35, .... adalah ...

Answers

48, 63, 80, 99, 120, 143, 168

Two adjacent angles of a parallelogram have equal measure. Find the
measure of each of the angles of the parallelogram.

Answers

Step-by-step explanation:

Let ABCD be the parallelogram with ∠A = ∠B.  

We know: Sum of adjacent angles = 180°  

∠A + ∠B = 180º  

2∠A = 180º (∠A = ∠B)  

∠A = 90º  

∠B = ∠A = 90º  

∠C = ∠A = 90º (Opposite angles)  

∠D = ∠B = 90º (Opposite angles)  

Thus, each angle of the parallelogram measures 90º

Answer:

All 4 angles are 90 degrees.

Step-by-step explanation:

The measure of 2 adjacent angles in a parallelogram add up to 180 degrees.

If they have equal measure then they are both 90 degrees.

As it is a parallelogram:-

the measure of each angle is 90 degrees.

Sarah had 25 candies. Sarah gave 25 of the candies to her sister. Of the amount left, she gave 2/3 to her friend. How many candies does Sarah have left for herself?

Answers

Answer:

She has 5 candles left.

Step-by-step explanation:

Total of candy Sarah has = 25candies

If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25

2/5 of 25 = 10

The remaining candy left will be 25-10 which is 15.

If she gave 2/3 of the amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.

Find the size of the angles marked by letters in the following diagram.​

Answers

a=132°

b=20°

Answer:

Solution given:

a=132°[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

again

In ∆ BCO is similar to ∆ BOE

so

b=20°[corresponding angle of similar triangle are equal]

Not really understanding this, thanks for help in advance

Answers

Answer:

102

Step-by-step explanation:

Exterior angle is sum of interior angles.

∠1 = 51 + 51

∠1 = 102

Answer: m∠1 = 102°

Step-by-step explanation:

The inside angles of a triangle always add up to 180°

so get the 3rd inside angle with

[tex]180-51-51=78[/tex]

And we know that a straight line in 180° on each side

So we take 180° and subtract 78° to get our answer 102°

Determine the equations of the vertical and horizontal asymptotes, if any, for

Answers

Given:

The function is:

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

To find:

The vertical and horizontal asymptotes of the given function.

Solution:

We have,

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

For vertical asymptotes, equate the denominator and 0.

[tex]x+4=0[/tex]

[tex]x+4-4=0-4[/tex]

[tex]x=-4[/tex]

So, the vertical asymptote of the given function is [tex]x=-4[/tex].

The degree of the numerator is 1 and the degree of the denominator is also 1.

Since the degrees of numerator and denominator are equal, therefore the horizontal asymptote is:

[tex]y=\dfrac{a}{b}[/tex]

Where, a is the leading coefficient of numerator and b is the leading coefficient of denominator.

Leading coefficient of numerator is 2 and the leading coefficient of denominator is 1, so the horizontal asymptote is:

[tex]y=\dfrac{2}{1}[/tex]

[tex]y=2[/tex]

Therefore, the correct option is C.

I need b and c full problems!

Answers

Answer:

b:    [tex]\frac{5-\sqrt{11} }{2}[/tex]< x < [tex]\frac{5+\sqrt{11} }{2}[/tex]  

c:  x < -5 , x > 7

Step-by-step explanation:

the degree of non zero constant polynomial is a. 1 b.4 c. a d.0​

Answers

Answer:

please mark me as brainlist

Find the volume of the composite solid.
10 cm
12 cm
32 cm
10 cm

Answers

Your is answer would be choice C which is : 32 cm

Answer:

Your is answer would be choice C which is : 32 cm

Step-by-step explanation:

Find the area of the triangle.
A. 73.6ft^2
B. 65.8 ft^2
C. 69.1 ft^2
D. 70.8 ft^2

Answers

Please look at the picture for a step by step explanation - Answer choice is A

The area of the triangle is (A) [tex]73.6ft^{2}[/tex].

What is trigonometry?The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.Trigonometric area of a triangle:

Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)

Solution -

Now, out the values in the formula for the solution.

[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]

[tex]A=73.6ft^{2}[/tex]

Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].

Know more about the area of triangles here:

https://brainly.com/question/17335144

#SPJ2

Tìm x,y thỏa mãn: x^2-2xy+3y-5x+7=0

Answers

I think there's an error with this question. Mind to check it back and tell me the detail?

A boardwalk game of chance costs 2 dollars to play. You have a 20% chance of winning 1 dollar, a 25% chance of winning back your entire 2 dollars, and a 35% chance to win 5 dollars. What is the expected value of playing the game if you lose your bet 20% of the time?

Answers

Answer:

For a give event with outcomes:

{x₁, x₂, ..., xₙ}

Each with probabilities:

{p₁, p₂, ..., pₙ}

The expected value is:

Ev = x₁*p₁ + ... + xₙ*pₙ

Here we have the outcomes and probabilities:

win $1, with a probability 20%/100% = 0.2

win $2, with a probability 25%/100% = 0.25

win $5, with a probability of 35%/100% = 0.35

do not win, with a probability of 20%/100% = 0.2

Then the expected value of the game is:

Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45

And if we know that the game costs $2, then the expected value is:

Ev = $2.45 - $2 = $0.45

The expected value is  $0.45

which proportion would you use to find 8% of 75?
A: 8/100 = 75/n
B: 8/100 = n/75
C: 75/100 = 8/n
D: 75/100 = n/8

Answers

Answer:

B: 8/100 = n/75

Step-by-step explanation:

OPTION B is the correct answer.

giving brainliest
2 variable table

Answers

Answer:

41

136

155

193

Step-by-step explanation:

use the equation 19*d+22=h

19 represents the number of hats knitted per day

22 represents the already made hats

Answer:

hhhhhhhhhhhhhhhhhhu

Step-by-step explanation:

ASAPpppppppppppppppppppppp

Answers

Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

denise is 6 years older than her sister. 8 years ago she was 4 times as old as her sister how old is each girl now

Answers

Answer:

Denise = 16

Sister = 10

Step-by-step explanation:

D=denise

S=sister

Eq 1)   D=S+6

Eq 2)  D-8 =4S-8

replace D with S+6 in Eq 2

(S+6)-8 = 4S -8

S-2 = 4S -8

add 8 to both sides

S+6 =4S

subtract S from both sides

6 = 3S

divide both sides by 3

2 = S   ( this is the sister age 8 years ago )

2+8 = 10  current age

plug that into Eq 1)

D = 10 +6

D=16    (Denise's current age)

so

Denise = 16

Sister = 10

if you subtract 8 from each , then there ages 8 years ago would be

Denise =8

Sister = 2

and 2*4 = 8  

this checks

Find the circumference and area of a circle with a diameter of 12 cm. (Use the approximation of 3.14 for )

Answers

here u go look at the image for the answer and i hope this helps !!!!

if -2 is a zero the polynomial 3x^2+2x+k, find the value of k​

Answers

Answer:

value of K =16

I hope it's helps you

x+5=7 .Find the value of x.

Answers

Answer:

x=2

Step-by-step explanation:

x+5=7

Subtract 5 from each side

x+5-5=7-5

x =2

Answer:

2

Step-by-step explanation:

x + 5 = 7

=> x = 7 - 5

=> x = 2

A data set is displayed using a dot plot. The range of the data is between 50 and 90, and the distribution is skewed left. Where is there most likely a peak in the data?

left side of the graph
right side of the graph
middle of the graph
cannot be determined without more information
please help

Answers

Hello,

Your answer would be right side of the graph

Please mark as brainiest

The peak in the data would likely be the right side of the graph.

The distribution of a data set when displayed on a dot plot is said to be skewed left (left skewed) when most of the data appear on the right side of the graph. This means, the highest scores are on the right while the lowest values of the variable are on the left side of the graph (in order words, tapers towards the left of the graph). See the image labelled A in the attachment below.

Also, for a data set distribution that is skewed right (right skewed), most of the data appear on the left side of the graph. It will have a tail tapering to the right. See the image labelled A in the attachment below.

For  a data distribution that is skewed to the left, the peak in the data would most likely be at the right side of the graph.For  a data distribution that is skewed to the right, the peak in the data would most likely be at the left side of the graph.

Therefore, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.

Learn more about skewness of a data set here:

https://brainly.com/question/3252860

I need help ASAP !! Thanks

Answers

N=155. And since the other outer angle is also 155. And since the sum of all other angles is 360, you would take 360-155-155. That is 310. And so you would take 360-310=50. Since there is two angles, both m and p are equal to 25

Please help solve this for me I couldn’t take a picture of the whole thing but I also need to find the domain & range

Answers

Answer:

The vertex appears to be (-1,-5)   (The lowest point of line)

Axis of symmetry is x = -1   (Notice that the x value of the vertex is same)

y-intercept is (0, -3)     (where the line crosses the y-axis)

Please help me anyone

Answers

Answer:

115

Step-by-step explanation:

When x = -11, x^2 = 121. y = 121 - 6 = 115.

Hope this helped,

~cloud

Answer:

115

Step-by-step explanation:

y = x^2 - 6

Let x = -11

y = (-11)^2 - 6

y = (121) -6

   = 115

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