Katie is buying souvenir gifts for her big family back home. She wants to buy everyone either a key chain or a magnet. The magnets are on sale for 50 cents each and the key chains cost $1 each. She must purchase at least 24 gifts and spend no more than $20. Let represent the number of magnets and represent the number of key chains.


Model the scenario with a system of inequalities.
Graph the system of inequalities and choose an appropriate solution for the scenario. Use complete sentences to prove why the solution is appropriate.

Answers

Answer 1

The inequalities to represent the situation is given as: x + y ≥ 36 and 2 x + 0.6 y < 40

The magnets are on sale for 60 cents each.

The key chains cost $2 each.

Katie must purchase at least 36 gifts but has to spend less than $40.

Now let x represent the amount of key chains.

Let y represent the amount of magnets.

So, the system of inequalities that form are:

x + y ≥ 36

and
2 x + 0.6 y < 40

Therefore, the inequalities to represent the situation is given as: x + y ≥ 36 and 2 x + 0.6 y < 40

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Katie Is Buying Souvenir Gifts For Her Big Family Back Home. She Wants To Buy Everyone Either A Key Chain

Related Questions

What are the scale factors

Answers

Answer:

10 if going from the smallest to the largest or 1/10 if going from the smallest to the largest.

Step-by-step explanation:

Let s = scale factor

10s = 100  Divide both sides by 10

s = 10

Kim drew a map of Mississippi Rive. The scale was 5 centimeters represents 120 mikes. Th as tusk length is 2320 miles. What is actual length in centimeters of the Mississippi River?

Answers

The actual length of the river on centimetres is 97 centimetres

How to find the length of the Mississippi River using the scale?

The scale was 5 centimetres represents 120 miles.

Therefore, on the scale

5 centimetres = 120 miles

Now, let's find the length in centimetres if the river is measured as 2320 miles.

120 miles  = 5 centimetres

2320 miles = ?

cross multiply

actual length of the river in centimetres = 2320 × 5 / 120

actual length of the river in centimetres = 11600 / 120

actual length of the river in centimetres = 96.6666666667

actual length of the river in centimetres = 97 centimetres.

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PLEASE HELP!!!! WIILL MARK BRAINLIEST

The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6.50 and each adult ticket sells for $10. The auditorium can hold no more than 140 people. The drama club must make at least $1100 from ticket sales to cover the show's costs. If a represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.​

Answers

Answer:

y ≥ -0.65x +110  

y ≤ -x +140

45 students, 95 adults

Step-by-step explanation:

6.50x + 10y ≥ 1100 --> 10y ≥ -6.50x + 1100 --> y ≥ -0.65x +110  

x + y ≤ 140 --> y ≤ -x +140

Which number sentence is not true?
A) -4.51 4.5
B) |0| < |-45|
C) |45|> 0
D) 14.5| |-45|

Answers

The answer is c or d

help me please I need a good grade

Answers

Answer: x=32

Step-by-step explanation:

x-7+2x+1=90

x+2x-7+1=90

3x-6=90

3x=96

x=32

X-7+2x+1=90
x+2x-7+1=90
3x-5=90
3x=96
x=32

how many real solutions does 3x² +24x = -48 have

Answers

Answer:

1

Step-by-step explanation:

3x² +24x = -48

3x² +24x + 48 = 0

x² +8x + 16 = 0

By using cross multiplication,

(x-4)² = 0

Therefore,

x-4 = 0

x = 4 (repeated)

Answer:

Only one real solution

Step-by-step explanation:

[tex]{ \tt{ {3x}^{2} + 24x = - 48}} \\ { \tt{ {3x}^{2} + 24x + 48 = 0 }} \\ { \tt{ {x}^{2} + 8x + 16 = 0}} \\ { \tt{(x + 4) = 0}}

Which relation is a function?

Answers

Bottom right, use the vertical line test.
Draw a up and down line anywhere on the graph and it should only touch the line AT MOST 1 time

convert the radio to a percent

Answers

Answer:

62.5%

Step-by-step explanation:

We only have the measurement of 2 corresponding sides AE and A'E'.  We are going from the large to the small.

Let x = the scale factor

4x = 2.5  Divide both sides by 4

x = .625   to change that to a decimal multiply by 100

.625 x 100 = 62.5%

14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45

Answers

Answer:

vvvyaz

Step-by-step explanation:

szahvzlvzlz

What is logs (4-7)+logs2 written as a single log?
O log 21
O log 26
O log,30
O log,56

Answers

Answer:

[tex]\log_556[/tex]

Step-by-step explanation:

Given:

[tex]\log_5(4 \cdot 7)+\log_52[/tex]

Multiply the 4 and 7:

[tex]\implies \log_528+\log_52[/tex]

[tex]\textsf{Apply the Log Product law}: \quad \log_ax + \log_ay=\log_axy[/tex]

[tex]\implies \log_5(28\cdot2)[/tex]

Multiply the 28 and 2:

[tex]\implies \log_556[/tex]

Choose the estimate closest to the length of a pen​: 30​cm, 160​mm, or 16mm.

Answers

The estimate closest to the length of a pen​ is 160​mm

How to estimate the closest length of a pen?

Estimation is when we use approximate values in a calculation to give an approximate, predicted answer rather than an exact answer.

We can estimate some lengths and distances using approximate values for measurements.

For example, 16 cm is approximately the length of a pen.

Therefore, the estimate of a pen is 16 cm.

Since the length in cm is not in the option, we have to convert.

Hence,

1 centimetres = 10 millimetres

16 centimetres = ?

cross multiply

estimated length of a pen = 160 millimetres.

Therefore, the estimate closest to the length of a pen​ is 160​mm

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Can someone help me pls

Answers

Answer:

See below

Step-by-step explanation:

HURRY IM TIMED Explain how to find the estimated sum of 5/8+2/9​

Answers

Answer:

61/72

Step-by-step explanation:

first find the lowest common denominator - basically in this case the lowest number that goes into 8 and 9 - 8 x 9 which is 72, then

8 goes into 72 9 times so do 9 x the numerator (5)

9 x 5 = 45

Do the same for the second fraction, 9 goes into 72 8 times so do 8 x numerator (2)

8 x 2 = 16

Now add 45+ 16 = 61 ( this is your numerator)

and you keep the denominator (72) the same, so the answer is 61/72

Two positive integers that differ by 9 are in the ratio of 8 to 11. What is the value of the smaller of the two numbers?​

Answers

The numbers are 24 and 33 so the smaller one is 24

Answer:

24 and 33 are the numbers among which 24 is the smallest.

Step-by-step explanation:

Let one positive integer be x, then another will be x - 9

Solve:

[tex]\sf \dfrac{x-9 }{x} = \dfrac{8}{11}[/tex]

cross multiply

[tex]\sf 11x-99= 8x[/tex]

collect like terms

[tex]\sf 11x-8x = 99[/tex]

simplify

[tex]\sf 3x = 99[/tex]

divide both sides by 3

[tex]\sf x = 33[/tex]

As the integer is positive, x = 33, then another will be 33 - 9 = 24.

You're a manager in a company that produces rocket ships. Machine A and Machine B both
produce cockpits and propulsion systems. Machine A ran for 22 hours and produced 3 cockpits
and 5 propulsion systems. Machine B ran for 44 hours and produced 6 cockpits and 10
propulsion systems.
Assume both machines produce cockpits at the same rate and both produce propulsion systems
at the same rate.

Answers

Step-by-step explanation:

so, what's the question ?

I don't need to "assume" that both machines have the same rate. it is clearly written there :

A produces in 22 hours 3 cockpits and 5 propulsion systems.

and B produces in twice the time (44 hours) twice the results (6 cockpits, 10 propulsion systems).

that means they have exactly the same production rate for both products.

so, this is confirmed. but what should we do now with this information ?

Answer:

C - No; the system has many solutions

Step-by-step explanation:

I just got it right on khan.

Can someone please help me does anyone know the rest of the problem I can’t sloved please help

Answers

The equation of the given function will be h=-0.096x+30.6. The mass will be 63.5 grams.

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

1.) The slope of the given function will be,

Slope = (25.8 - 30.6) / (50 - 0) = -4.8/50 = -0.096

Now, substitute the values in the general linear equation,

h = -0.096x + c

30.6 = -0.096(0) + c

c = 30.6

Therefore, the equation of the given function will be h=-0.096x+30.6.

2.) Mass when the height is given as 24.5 cm, will be,

h = -0.096x + 30.6

24.5 = -0.096x + 30.6

24.5 - 30.6 = -0.096x

-6.1 = -0.096x

x = -6.1/-0.096

x = 63.5

Hence, the mass will be 63.5 grams.

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Please help me
Find the slope of the line on the graph

Answers

The slope is 3/2 becuase is the rise/run

Answer:

slope = 6/10

Step-by-step explanation:

Point 1: (0,2)

Point 2: (10,8)

m= Slope= Rise/run = (y2-y1)/(x2-x1) = (8-2)/(10-0) = 6/10

(23)n=(1111)2 what is the value of n

Answers

Answer:

Hello,

n=6

Step-by-step explanation:

1111 in binary is 15 in décimal

(23) base n=15 ==>

2*n+3=15

2n=12

n=6

1.Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.

Answers

Answer:

x=8

Step-by-step explanation:

So 6^2+x^2=10^2

36+x^2=100

x^2=64

x=8

Answer:

first put name of triangle abc than

angle _abc =180degree

10+6+c=180

16+c=180

180÷16=c

c=11.25

the value of x is 11.25 ans

Question
If the point (1, 4) is on the graph of an equation, which statement must be
true?
о A. The values x= 1 and y = 4 are the only values that make the
equation true.
O B. The values x = 1 and y = 4 make the equation true.
C. There are solutions to the equation for the values x= 1 and x = 4.
OD. The values x = 4 and y = 1 make the equation true.
SUBMIT

Answers

Either A or B is right they sound like the same answer though

what is the perimeter of (-2,1) (3,1) (3,-1) (-2,-1)

Answers

Answer:

 14

Step-by-step explanation:

Given the points (-2,1), (3,1), (3,-1), and (-2,-1) that are the vertices of a quadrilateral, you want to find the perimeter.

Perimeter

The perimeter of a plane figure is the sum of the lengths of its sides. When you plot these points, you see they define a rectangle with horizontal sides of length (3-(-2)) = 5, and vertical sides of length (1 -(-1)) = 2. There are two sides of each of these lengths, so the perimeter is ...

  P = 2(L+W) = 2(5 +2) = 2(7)

  P = 14

The perimeter of the figure is 14 units.

__

Additional comment

When trying to work out measures associated with a set of points, it is often useful to graph those points.

1) determine the result when 2x^2+4x+2 is subtracted from 4x^2-8x+3

Answers

Answer:

[tex]2x^2 - 12x + 1[/tex]

Step-by-step explanation:

Hello!

Given the expression: [tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex]

Simplify by combining like terms.

Like terms are terms with the same variable and raised to the same power.

Simplify[tex]4x^2 - 8x + 3 - (2x^2 + 4x + 2)[/tex][tex]4x^2 - 8x + 3 - 2x^2 - 4x - 2[/tex][tex]4x^2 - 2x^2 - 8x - 4x +3 - 2[/tex][tex]2x^2 - 12x + 1[/tex]

The simplified form is [tex]2x^2 - 12x + 1[/tex].

5x - 7 > 8 ?? what is the answer solve the inequality

Answers

Answer:

Step-by-step explanation:

Explanation:

This can be rewritten as

18

<

5

x

+

7

<

2

To solve this, isolate

x

. The first step will be subtracting

7

. However, subtract

7

from all parts of the inequality.

18

7

<

5

x

+

7

7

<

2

7

Which yields

25

<

5

x

<

5

Now, divide each part by

5

.

5

<

x

<

1

wolframalpha.com

Answer:

x>3

Step-by-step explanation:

Thats all hope this helps.

can someone awnser this for me please?

Answers

Answer:

1.Yes

2.Yes

3.No

4.Yes

5.Yes

6.No

I hope it's help

Answer:

1. yes

2.Yes

3.no

4.no

5.yes

6.yes

Step-by-step explanation:pa brainliest po thankyou

Find all real solutions of the equation, rounded to two decimals. (Enter your answers as a comma-separated list.)
x^4 − 4x^2 + 2 = 0

Answers

The real solution of the equation are +0.77, -0.77, +1.85, -1.85.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .

Given:

x^4 − 4x^2 + 2 = 0

(x²)² - 4x² + 2 =0

let us consider y= x², then the above equation become

y² - 4y + 2 =0

On further solving for 'y' we have

y= -b±√(b² -4ac) / 2a

y= 4±√(16-8)/2

y=4±2√2/2

y= 2 + √2, y=2-√2

Now, y= x²

x² = (2 + √2),  x²= 2-√2

x= +1.8477, -1.8477 , +0.7653, -0.7653

x= +0.77, -0.77, +1.85, -1.85

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Answer this question please

Answers

The solution to the inequality is w ≥ 470 or w ≤ 530

How to determine the solution to the inequality?

The given parameters are:

Number of words = 500

Absolute deviation = 30

Acceptable number of words = w

The absolute value inequality is represented as

|w - Number of words| ≥ Absolute deviation

So, we have

|w - 500| ≥ 30

Remove the absolute bracket

So, we have

w - 500 ≥ -30 or w - 500 ≤ 30

Add 500 to both sides of the inequality

So, we have

w ≥ 470 or w ≤ 530

Hence, the solution to the inequality is w ≥ 470 or w ≤ 530

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please help!!!!!!!!!!

Answers

Line 3
Because it’s dividing by the variable “x” not so much the number (2)

Test coming up need your help.

Answers

The linear equation that represents the number of pages that Lourdes still need to read will be y =  y = 30x + 3/5y.

How to illustrate the information?

It should be noted that an equation is used to show the relationship between the variables. It should be noted that the person is reading a biography.

It should be noted she reads 30 pages each day and after 9 days, he has read 3/5 of the pages.

Therefore, the linear equation that represents the number of pages that Lourdes still need to read will be:

y = (30 × x) + (3/5 × y

y = 30x + 3/5y.

Finally, this is the linear equation representing the pages that Lourdes read.

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2) a number v divided by 12

Answers

This can be expressed as,
V/12

In the given figure AB = AC, BAD = 50 and AD = AE. find the value of x

Answers

Answer:

[tex]x=25^o[/tex]

Step-by-step explanation:

Angle sum of a triangle: [tex]< A + < B+ < C=180^o\\[/tex]

Types of Triangles: Isosceles, Equilateral, Scalene

Given AB = AC are two sides of the big triangle, then ΔABC is Isosceles.

Isosceles triangles are defined to have two equal sides and two equal angles (opposite the congruent(equal) sides).

Also, since ABC is defined as a triangle, BC is a straight line, a.k.a., it is a [tex]180^o[/tex] angle. As the image shows, the line, AD creates a right angle on one side, therefore it creates a right angle([tex]90^o[/tex]) on the other side.

Back to Isosceles Triangles, AD = AE means ΔADE is isosceles and <ADE = <AED

Using the Angle sum formula of a triangle, you can fill in <A, <B, and <C with the following:

<A=[tex]50^o[/tex]

<B=<C=y [This is because <ADE = <AED]

[tex]50^o+2y=180^o\\2y=130^o\\y=65^o[/tex]

Now, this means that <ADE=[tex]65^o[/tex] and <ADC =[tex]90^o[/tex]

<x is better seen as <EDC

<EDC+<ADE=<ADC

Since we know <ADE is 65 and <ADC is 90, we can plug in these to the formula above.

[tex]x+65^o=90^o\\x=25^o[/tex]

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