An electronics store sells DVD players and cordless telephone. The store makes a $75 profit on the sale of each DVD player (d) and a $30 profit on the sale of each cordless telephone (c). The store wants to make a profit of a least $255.00 from its sales of DVD players and cordless phones. Write an inequality to model this situation.

Find an example to show how this situation could happen and one example showing how it could NOT happen. Make sure to justify your answer.

Answers

Answer 1
Inequality

75d + 30c ≥ 255

Examples

(1) If someone bought five DVD players and ten cordless telephones, the equation ((75)(5)+(30)(10)≥255) would be true.

(2) If the electronic store had a parcticularly bad day and they sold two DVD players and one cordless telephone, the equation ((75)(2)+(30)(1)≥255) would be false.


Related Questions

What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, and divided by 3 leaves a remainder of 2?

Answers

Answer:

59

Step-by-step explanation:

If a number is divided by [tex]n[/tex] and leaves a remainder [tex](n-1)[/tex], then the number [tex](n+1)[/tex] will be completely divisible by [tex]n[/tex].

Therefore, when we say a number [tex]x[/tex], when divided by 6, it leaves a remainder 5, then ([tex]x+1[/tex]) will be a multiple of 6.

When we say a number [tex]x[/tex], when divided by 5, it leaves a remainder 4, then ([tex]x+1[/tex]) will be a multiple of 5.

When we say a number [tex]x[/tex], when divided by 4, it leaves a remainder 3, then ([tex]x+1[/tex]) will be a multiple of 4.

When we say a number [tex]x[/tex], when divided by 3, it leaves a remainder 2, then ([tex]x+1[/tex]) will be a multiple of 3.

So, [tex]x+1[/tex] is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.


HELP ME PLEASEE ASAPAPAP PLEASE PLEASE PLEASE PLEASE!!!!!!!!!!!

Answers

Answer: AEC = 80

              X=30

YW ;)

Which of the following pairs of functions are inverses of each other?

Answers

Answer:

The answer is (B).

Step-by-step explanation:

A). y = f(x) = 6(x - 2) + 3 ⇔ y = 6x - 12 + 3 ⇔ 6x = y + 9 ⇔ x = [tex]\frac{y+9}{6}[/tex]

g(x) = [tex]\frac{x+9}{6}[/tex] is inverse function of f(x) and ≠ [tex]\frac{x+2}{6}[/tex] - 3

B). y = f(x) = [tex]\frac{5x}{4}[/tex] - 3 ⇔ 4y = 5x - 12 ⇔ x = [tex]\frac{4y+12}{5}[/tex]  

g(x) = [tex]\frac{4(x + 3)}{5}[/tex] is inverse of f(x)

HELP FAST ITS AN IMAGE

Answers

Answer:

3

Step-by-step explanation:

the answer is 3 because there are three units between each point of the triangle!

A 3-column table with 4 rows. Column 1 is labeled Inequality with entries 6 greater-than 4, negative 11 less-than negative 3, 7 greater-than negative 6, negative 5 less-than 1. Column 2 is labeled Multiply each side by: with entries 4, 2, 3, 5. Column 3 is labeled New Inequality with entries A, B, C, D. The table gives an inequality and a number to multiply both sides of the inequality by. Identify the new, true inequality. A: B: C: D: Multiplying both sides of an inequality by a positive number the inequality symbol

Answers

Answer:

1.  A

2. B

3. A

4. B

5. A

Step-by-step explanation:

Edge 2022

Answer:

A: 24 > 16B: -22 < -6C: 21 > -18D: -25 < 5E: does not change

Explanation: Correct on Edg 2020.

Are 12:14 and 60:70 equivalent ratios?

yes
no

Answers

Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

Five less than the area of a square is 59 square feet. Find the side length of the square.​

Answers

Answer:

4 feet

Step-by-step explanation:

Let the side length of the square be x feet.

x^2 - 5 = 59

x^2 = 64

x = ±4 (reject - 4 since length > 0)

Topic: Areas of polygons

If you would like to venture further, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!

Twice a number x minus 18

Answers

Step-by-step explanation:

Here is the answer...

Hope this helps you

please help me!!!!!!!!!!​

Answers

Answer:

HFHBEHFBHEHHEHHHHH

Step-by-step explanation:

Will mark as brainliest if correct!

Answers

Answer:

the answer is A

Step-by-step explanation:

48/50 x 100% = 96% of student wearing tennis shoes

100% - 96% = 4% students not wearing tennis shoes

Cara has saved $4,000 to buy a car. Rick wants to buy a new television set. He has saved 1/10 as much as Cara. How much has Rick saved?

Answers

Answer:

Step-by-step explanation:

4000*1/10= $400

0.01 is blank times as much as 0.001 please answer i will brainliest ​

Answers

Answer:

100

Step-by-step explanation:

10 times as much

0.001 * 10 = 0.01

Write the equation in slope-intercept form.
- 4x – 10y = -7

Answers

Answer:

The answer will be in the form y=mx+b

y= - [tex]\frac{2}{5}[/tex] x + [tex]\frac{7}{10}[/tex]

Brainliest please

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

What is slope intercept form?

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The equation of a line in slope intercept form is given by:

y = mx + c

m = slope

c = y-intercept

We have,

-4x - 10y = -7

Add 4x on both sides.

-4x - 10y + 4x = 7 + 4x

-10y = 7 + 4x

Multiply -1/10 on both sides.

y = -1/10 ( 7 + 4x )

y = -7/10 - (4/10)x

y = (-2/5)x + (-7/10)

Thus the equation of -4x - 10y = -7 in slope-intercept form is

y = (-2/5)x + (-7/10)

Learn more about the equation of a line here:

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Question 1 of 60
Find an underestimate for 32 x 67 by adjusting each factor down to the next
ten.
A. 2800
B. 2100
C. 1800
D. 2400

Answers

Answer:

2100

Step-by-step explanation:

30 x 70 = 2100

32 rounds to 30. 67 rounds to 70.

Answer:

[tex]2100[/tex]

Step-by-step explanation:

Estimate:

Change numbers 32 and 67 to the next factor:

[tex]30 and 70[/tex]

Multiply together:

[tex]2100[/tex]

So your answer is B:

[tex]2100[/tex]

Let the function f be defined by f(x) = 12 -5x


4. Is it true that f(0) = 0?


5. Explain why or why not?

ILL MARK YOU BRAINLIEST if you answer xx

Answers

4. It is not true
5. This is because if you substitute f(0) the equation would be f(x) = 12-0 or f(x) = 12
Hope this helps, if it does can I get brainliest ?

Given 2y =a^x +2a ^-x and a^x>0.
Show that a^x= y + sqrt (y^2-)​

Answers

Answer:

Answer by Yi Jing

Step-by-step explanation:

please help with this question will give brainlyest if you get it right
the answer choices are
9 and 22/40
9 and 3/28
10 and 22/40
10 and 11/13
please help!!!!!!!

Answers

We need to first make these improper fractions. 5 = 40/8, so 40/8+6/8 = 46/8. Similarly, 4 = 20/5, so 20/5+4/5=24/5.

So we need to find the value of 46/8+24/5. Multiply the first fraction by 5/5 and second fraction by 8/8 to get the same denominator. We get (46*5+24*8)/8*5 = 422/40. This is equal to 400/40 + 22/40 = 10+22/40.

So the third answer choice is correct.

Hope that helped!

helpppppp pleaseeeee

Answers

Answer:

A: 24

B: 40.04

Step-by-step explanation:

A=L*W

8*3=24

5.2*7.7=40.04

part a is 8(3)=24 units² and part b is 5.2(7.7)=40.04 units²

Consider parallel lines cut by a transversal.

Parallel lines q and s are cut by transversal r. On line q where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 1, angle 2, angle 4, angle 3. On line s where it intersects line r, 4 angles are created. Labeled clockwise, from uppercase left: angle 5, angle 6, angle 8, angle 7.

Explain which theorems, definitions, or combinations of both can be used to prove that alternate exterior angles are congruent.

Answers

Answer:

The alternate exterior angles 2 and 7 are congruent. One way to prove this is through the corresponding angles, vertical angles, and the transitive property.

First, we know <2 and <6 are congruent because of corresponding angles. Then we know they are equal because of the definition of congruent.

Next, we know <6 is congruent to <7 because of vertical angles. Then, we know they are equal because of the definition of congruent.

Finally, we know <2 is equal to <7 because of the transitive property.

Answer:

Here's the sample response!!

Step-by-step explanation:

Because vertical angles are congruent, angles 1 and 4 are congruent. Because corresponding angles are congruent, angles 4 and 8 are congruent. Because angle 4 is congruent to both 1 and 8, angle 1 is congruent to angle 8.

explain BRAINLIEST PLZ HELP!!!!100. Given B(-4,-6), under which reflections is B'(4,6)?
a. reflected in the x-axis
b. reflected in the origin
c. reflected in the y-axis
d. reflected in the line y=x

Answers

Under b. reflected in the origin  B(-4, -6) would be B'(4, 6).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Point B(-4, - 6) is given lies on the third quadrant.

Now, If we reflect along y = x it would be (- 6, - 4).

But if we reflect point B(-4, - 6) along the origin it would be B'(4, 6).

learn more about transformations here :

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All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45. Find the discount.

Answers

The discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

All swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

The regular price = $45

The discount is worth = 40% of 45

= (40×45)/100

= $18

Thus, the discount is $18 if the all swimming equipment is on sale with a 40% discount. A snorkeling set regularly sells for $45.

Learn more about the percentage here:

brainly.com/question/8011401

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Use the power property to rewrite log3x9.

Answers

Answer:

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Step-by-step explanation:

Given the expression

[tex]\log _3\:x^9[/tex]

now rewriting the expression

[tex]\log _3\:x^9[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=9\log _3\left(x\right)[/tex]

Therefore,

[tex]\log _3\left(x^9\right)=9\log _3\left(x\right)[/tex]

Answer:

B

Step-by-step explanation:

edge

Mandy has an annual salary of $37,580. Each month she has a car payment of $265 and a student loan of $120. If she applies for a home loan, how likely is it Mandy will be approved based on her debt-to-income ratio?

Answers

Answer: Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

The options are:

a. Very likely; recurring debt is less than what is allowed.

b. Somewhat likely; recurring debt is equal to what is allowed.

c. Not likely; recurring debt is higher than what is allowed.

d. There is not enough information given to determine the answer.

Annual salary = $37,580

Car loan payment annually = $265 × 12 = $3180

Annual student loan= $120 × 12 = $1440

Annual loan payment will be:

= $3180 + $1440

= $4620

Based on the above, Mandy is already paying 12.3% (4620 / 37580)× 100 as loan every month. Coupled with the fact that he'll still have some amount to pay as loan every month, he won't be given as the recurring loan is higher than what will be allowed.

Answer:

c. Not likely; recurring debt is higher than what is allowed.

Step-by-step explanation:

got it right

3x+14=2(2x-3), steps to solve

Answers

Answer:

20

Step-by-step explanation:

3x+14=2(2x-3)

3x+14=4x-6

3x-4x=-6-14

-x=-20

X=20

So the valueof X is 20

5 = 5/8x + 1/2x - 4 with work please :) its due in a couple minutes ​

Answers

Answer:

5/8x+1/2x-4=5

or, 5(2x-4)+8x= 5

or, 10x- 20+8x=5

or, 10x-8x= 20+5

or, 2x= 25

or,x= 25/2

:.x= 25/2

Step-by-step explanation:

first we have to make denominator then we can criss cross multiply. we can make in same point .if there is plus we can subtract and if there is front minus if we take it back it must be plus. then we can put same point then we can divide

sisktzkyzktRkzkKKRpyxdypzoyzitzotkg​

Answers

(Y2-y1)/(x2-x1) = gradient
Pick two points: (2,6), (4,8)
(8-6)/(4-2) = 2/2 = 1
The gradient is 1

the sum of the first six terms of a geometric series is 21/16 . if the common ratio is -1/2 , what is the first term?

Answers

Answer:

-84

Step-by-step explanation:

The formula for the nth term of a geometric progression is

Un = ar^n- 1

The sum of the first six terms of a geometric series (U6) = 21/16

Common ratio = -1/2 ,

a = First term ??

21/16 = a × (-1/2 )^6- 1

21/16 = a ×(-2^-1)^5

21/16 = a × -2^-6

Cross Multiply

16 × a × -2^-6 = 21

a = 21/16 × -2^-6

a = 21/16 ×- 1/2⁶

a = 21/16 × -1/64

a = 21 ÷(-1/4)

a = 21 × -4

a = -84

The first term = 84

Kelly currently has a checking account balance of $172.14. She makes a deposit of $27.45, and then spends $17.89 on dinner. How much money does she have now? *

Answers

Answer:

126.8 Hope this helps

PLEASE HELP WHO KNOWS THIS?

Answers

Answer:

I don't know how you would submit this but I do know it's a transformation. So you would move it across the x-axis 4 or 5 times depending on the shape. So I would maybe just write out each individual number like 3,4,5

Step-by-step explanation:

at is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) slope-intercept form? y = 1/2 * x - 3/4 y = 1/2 * x + 3/4 y = 3/4 * x - 1/2 y = 3/4 * x + 1/2

Answers

Answer:

Step-by-step explanation:

2/5, 19/20) and (1/3, 11/12) in slope-intercept form? ... B. y = 1/2x + 3/4 ... D. y = 3/4x + 1/2 ... [tex]3}^{2}x = \frac{1}{?27} [/tex]find x​.

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