The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20

Answers

Answer 1

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

The Sum Of Two Positive Integers, X And Y, Is Not More Than 40. The Difference Of The Two Integers Is
Answer 2

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

The Sum Of Two Positive Integers, X And Y, Is Not More Than 40. The Difference Of The Two Integers Is

Related Questions

8 ounce 17.98 per pounds

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Answer:

8 ounces, which is 0.5 pounds

Step-by-step explanation:

mark me brainlest if im correct

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f(1)=0

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three-fifth of the men in chemistry class have beards and two-third of the women have long hair.if there are 120 men in the class and 46 are not in the above groups, how many men and how many women are there in the class​

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Answer:

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Step-by-step explanation:

The slope of line TV is 3/5. What is the slope of any line perpendicular to TV?
options:
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Step by step explanation:

Please help with this! Show how you got it!!! Will mark brainliest!!

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Answer:

sum of interior angles of octagon is 1080 degrees

From figure ,

136 + 132 + 129 + 116 + 158 + 141 + 124 + x = 1080

so, x = 1080 - 936

        = 144

Step-by-step explanation: Simply add the angles and substract the sum from 1080 which is the sum of interior angles of octagon

Answer:

144 degrees.

Step-by-step explanation:

There are 8 sides to this polygon so the total internal of

angles = 180( 8 - 2)

= 1080

Adding up the 7 given angle we get  936

So x = 1080 - 936

= 144.

Which gives the prices in order, from least to greatest

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Answer:

is there a picture to go with the problem?

Can somebody help me on this thanks

Answers

Answer:

Add 3/4 to both sides (the last option)

Step-by-step explanation:

Since you want to isolate f and the expression on one side is f - 3/4, you have to add 3/4 so that the -3/4 cancels out. When you do that, you also have to add 3/4 to the other side so that the equation stays balanced.

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which integer represents a golf score of 4 over par?

Answers

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

Simplify x/4 + x/6 help please

Answers

Answer:

5/12x

Step-by-step explanation:

at this rate how much would 6 eggs rolls cost

Answers

Answer:1.95

Step-by-step explanation:

A chess club with 95 members is electing a new president. Tony received 57 votes. What percentage of the club members voted for Tony?

Answers

Answer:

40%

Step-by-step explanation:

Tony received a total of 57 votes. There are 95 members. 95 is 100%, 47.5 is 50%. From this we have go on and play with percentage number. Since I don't remember the exact rule or explanation rn. Hope this helped :)

Answer:

60%

Step-by-step explanation:

95x0.6=57

Percentage=60%

Please help! I will mark brianliest!!

Answers

Answer:

Perimeter: 310 units

Step-by-step explanation:

If x=4 and y=5, then the measure of the lengths would be..

8y+19= 8(5)+19= 59

8x+64= 8(4)+64= 96

13y-6= 13(5)-6= 59

16x+32= 16(4)+32= 96

To check if all these measurements are congruent, we can see if they match up with the measure of their parallel line, which they do in this case because 59=59

96=96

To find the perimeter of any shape, we add all the side lengths together

59+59+96+96= 310

Hope I was able to help! Good Luck!

Answer:

Perimeter is 310 unis

Which ratio is equivalent to 8/6?

A. 3/24
B. 24/32
C. 32/24
D. 24/3

Answers

Answer:

C.

Step-by-step explanation:

Answer:

Answer: C. 32/24

Step-by-step explanation:

8 x 4 and 6 x 4

6.4n-10=4.4n+6 solve for n

Answers

Answer: n=8

Step-by-step explanation:

1. Subtract 4.4n on both sides:

2n-10=6

2. Add 10 on both sides:

2n=16

3. Divide both sides by 2:

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Have a nice day :D

94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?

Answers

Answer: 763.02 in^2

Step-by-step explanation:

For a circle of radius R, we know that:

The area is:

A = pi*R^2

the circumference is:

C = 2*pi*R

where pi = 3.14

We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:

2*pi*R = 18*pi

2*R = 18

R = 18/2 = 9

The radius of the bullseye is 9 inches.

Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)

This is:

A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2

What shortcut could you use to prove the triangles congruent?
O HL
O SAS
O ASA
SSS
OSSA
CNBD
O AAS

Answers

Answer:

AAS

Step-by-step explanation:

You can see that two angles and one side are congruent.

for a field trip a bus company charges a flat fee plus an additional fee per student. for 25 students, the total cost is $200, if there are 30 students, the total cost is $230. write an equation in point slope form,where y repersents a cost for any given number of x students

Answers

Answer: The answer is 8

Step-by-step explanation: 8 x 25 =200

Apple jack are the best

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Answers

Question :

The sales tax rate in New Mexico is 5.125%. Select all the equations that represent the sales tax, t, you

would pay in New Mexico for an item of cost c?

A. t = 5.125c

B. t = 0.5125c

C. t = 0.05125c

D. t = c = 0.05125

(E. t = 5.025 c

 Answer:

C. t = 0.05125c

Step-by-step explanation:

First we have to understand the meaning of % sign. It is called percent or percentage. Where cent means 100. Now all we know that 100 cents make one dollar, that is why these 100 smaller units are called as cents.

Now if sales tax is 5.125 percent, remember that if there is $100 capital amount, it will be $5.125 tax.

Now how much would it be for $1?

simply, it will be $0.05125

Now for equation in option C

t = 0.05125 x 1

t = 0.05125

here you can see that the equation is satisfied.

So from this we can establish the equation that for any cost, the relation between tax and cost will be:

t = 0.05125c

WEEEEEEEEEEEEEEEEEEEEEEE
PLEASE HELP

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answer: 5b

the exponents basically cancel themselves out. :)

The question and possible answer are in the picture thank you!

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Answer:

pretty sure its the first one

Step-by-step explanation:

Answer: m^8

Explanation:

guys please help this is a math question

Answers

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4[tex]y^{2}[/tex] = 6[tex]y^{2}[/tex] - 40

add 40 to both sides and subtract 4[tex]y^{2}[/tex] from both sides: 40 = 2[tex]y^{2}[/tex]

you get: 20 = [tex]y^{2}[/tex]

root square on both sides: [tex]\sqrt{20}[/tex] = [tex]\sqrt{y^{2} }[/tex]

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6[tex]y^{2}[/tex] -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

1. Evaluate
2

for x = 1
2
and y = 3


2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
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solve an inequality

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Answer:

Step-by-step explanation:

What is .09375 as a fraction

Answers

Answer:

.09375 as a fraction is [tex]\frac{3}{32}[/tex]

0.09375 as a fraction in its lowest form is 3/32.

To convert the decimal number 0.09375 into a fraction, we can express it as the numerator over the appropriate power of 10 in the denominator.

The decimal number 0.09375 can be written as 9375/100000.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD).

In this case, the GCD of 9375 and 100000 is 3125,

So, we can divide both numbers by 3125:

= 9375 ÷ 3125 / 100000 ÷ 3125

= 3/32

Therefore, 0.09375 as a fraction in its lowest form is 3/32.

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Here is a rectangle ABCD.
А
B- length 20 cm
D
С-width 30 cm
The length of the rectangle is increased by 10%.
The width of the rectangle is increased by 5%.
Find the percentage increase in the perimeter of the rectangle.

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Answer:

(b)-length 20 cm

I need help on this question!! 15% of 9% is $___

Answers

Answer:

$1.35

Step-by-step explanation:

Answer:

0.0135

Step-by-step explanation:

Convert  15% to a decimal.

0.15  ⋅  9%

Convert  9% to a decimal.

0.15  ⋅  0.09

Multiply  0.15  by  0.09.

0.0135

a person can pay 14$ for a membership to the science museum and then go to the mesum for just 1$ per visit what is the maxium number of visits a member of the science museum can make for the total cost of 43$

Answers

Answer:

I think 43 visits

Step-by-step explanation:

I hope this helps you and I hope this is right and have a wonderful day:)

Hello! I won't give you the answer but I'll show you an example to a similar question like that!

Okay, so what if: a person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. what is the maximum number of the art museum can make for a total cost of $18?

An easy way to solve this is to make an equation.

Let's call the number of times we can visit "x".

So, we pay $6 off the bat, and then pay $1 per visit after.

6+1x

That's the cost associated with visiting "x" number of times, now, we need to know how many times we can visit for 18, so we equate the expression to 18.

6+x=18

x=12

We can visit 12 times.

I hope this helps and that now you know the problem is supposed to be solved!

See ya later, pal!

{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
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5 because the value of c make the function

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Step-by-step explanation:

because idrk my teacher just answered this question and i thought i would share :)

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[tex]y > 3 \times 2 \\ solve \: for \: y \\ y > 6 \\ ye \: {6 + \infty }[/tex]

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64 sq in

Step-by-step explanation:

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