Veronica is ordering trophies for her school. Company P charges $3.50 for each trophy and a one-time engraving fee of $25. Company R charges $7.50 for each trophy and a one-time engraving fee of $17. Which inequality can be used to find x, the minimum number of trophies that can be ordered so that the total charge at Company P is less than the total charge at Company R?

Answers

Answer 1

Answer: Required inequality : [tex]3.50x+25<7.50x+17[/tex]

Solution: x<2.

Step-by-step explanation:

Let x = number of trophies.

Company P charges $3.50 for each trophy and a one-time engraving fee of $25.

Total charge for x trophies from Company P=[tex]3.50x+25[/tex]

Company R charges $7.50 for each trophy and a one-time engraving fee of $17.

Total charge for x trophies from Company R =[tex]7.50x+17[/tex]

When total charge at Company P is less than the total charge at Company R, then

[tex]3.50x+25<7.50x+17\\\\\Rightarrow\ 7.5x-3.5x<25-17\\\\\Rightarrow\ 4x<8\\\\\Rightarrow\ x<2[/tex]

Required inequality : [tex]3.50x+25<7.50x+17[/tex]

Solution: x<2.

Answer 2

Answer:

<2

Step-by-step explanation:


Related Questions

solve for x????????​

Answers

Answer:

x=132

Step-by-step explanation:

180-48=132

Hope this helps!

Answer:

[tex]x[/tex] = 132°

Step-by-step explanation:

A straight line is always equal to 180° so

180 - 48 = 132

[tex]x[/tex] = 132°

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

A local little league has a total of 80 players, of whom 40% are right handed. how many right handed players are there?​

Answers

32 right-handed players.

Answer:

32

Step-by-step explanation:

WRite all the answers and get 21 points

Answers

Answer:

1.

[tex] \frac{4}{5} = \frac{16}{20} [/tex]

2.

[tex] \frac{3}{7} = \frac{15}{35} [/tex]

3.

[tex] \frac{4}{3} = \frac{12}{9} [/tex]

4.

[tex] \frac{13}{15} = \frac{52}{60} [/tex]

5. the enlargement will be 9 inches

[tex] \frac{w}{15} = \frac{3}{5} [/tex]

multiply both sides by 15

[tex] \frac{w}{15} (15) = \frac{3}{5} (15) \\ w = 9[/tex]

6. 12 cm

7. 16

[tex] \frac{4}{2} = \frac{16}{8} [/tex]

4×4=16

8. 3.08

five u.s postal stamps cost $2.20 so we divide that by 5 to get the price of one which is $0.44

so $0.44 × 7 = $3.08

Cup o' Coffee buys its coffee for $1.25 a cup. The coffee shop then sells each cup for $3.75. What is the percent markup for a cup of coffee?

Answers

Answer:

47%

Step-by-step explanation:

.375 × .125 = .046875

rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.

move the decimal three digits to the left and you get, 47%.

Percentage markup is the percent of the difference of the selling price to the buying price of a product. The percent markup for a cup of coffee is 200%.

The percentage markup has to be find out for the cup of coffee.

What is percentage markup?

Percentage markup is the percent of the difference of the selling price to the buying price of a product. It can be given as,

[tex]M=\dfrac{\rm SP-C}{C} \times 100[/tex]

Here, [tex]SP[/tex] is the selling price and [tex]C[/tex] is the cost of the product.

Given information-

The Cup o Coffee buys its coffee for $1.25 a cup.

The Cup o Coffee sells its coffee for $1.25 a cup.

To find out the percentage markup for the cup of coffee, put the values in the above formula. Thus,

[tex]M=\dfrac{3.75-1.25}{1.25} \times 100\\M=\dfrac{2.5}{1.25} \times 100\\M=200[/tex]

Hence the percent markup for a cup of coffee is 200%.

Learn more about the percentage markup here;

https://brainly.com/question/26085685

Explain why f(x-4) shifts to the right, while f(x+3) shifts to the left

Answers

Answer:

It is just because f(9x-4) is a subtraction so it goes to the right.

Then the f(x+3) is addition so it goes to left.

Step-by-step explanation:

It is like the opposite of their signs the adding is left, and the subtraction is right.

Angle A and B are supplementary angles. If A= 7x + 7 and B = 4x -14, find the measure of B.

Answers

Answer: mB=54

Step-by-step explanation:

Find x using 7x+7+4x-14=180. Use x in 4x-14 to find b.

The answer to the question is b=54

Help me with this Math pleaseee

Answers

answer:

a.

explanation:

im sure its a.

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

A rectangle has length 6 and height 4. Which of these would tell you that quadrilateral ABCD is definitely not similar to this rectangle? Select all that apply.

Answers

Answer:

1) AB=BC

2) m∠ABC=105∘

3) AB=8

4) BC=8

5) BC=2⋅AB

Step-by-step explanation:

A rectangle has length 6 and height 4.

Which of these would tell you that quadrilateral ABCD is definitely not similar to this rectangle? Select all that apply.

1) AB=BC

2) m∠ABC=105∘

3) AB=8

4) BC=8

5) BC=2⋅AB

6) 2⋅AB=3⋅BC

Answer:

A rectangle is a quadrilateral (has four sides). Opposite sides of a rectangle are equal to each other and the diagonals bisect each other. Also, each of the angles in rectangle measure 90°.

1) AB = BC

Opposite sides of a rectangle are equal, hence AB is opposite to CD and BC is opposite to AD. Therefore:

AB = CD, BC = AD

AB ≠ BC

2) m∠ABC = 105°

Each of the angles in a rectangle measure 90°, therefore m∠ABC = 90°. m∠ABC ≠ 105°

3) AB = 8

AB might be the length or height of the rectangle, hence:

AB = 6 or AB = 4. AB ≠ 8

4) BC = 8

BC might be the length or height of the rectangle, hence:

BC = 6 or BC = 4. BC ≠ 8

5) BC = 2AB

If BC is the height = 4, BC ≠ 2AB

6) 2AB = 3BC

If AB is the length of the rectangle and BC is the height of the rectangle then:

2(6) = 3(4)

12 = 12

2AB = 3BC

The density curve below represents the number of minutes Joseph spent getting dressed for school each
morning this past school year.

which of the following statements are true?

Answers

Answer: C) the height of the density curve is 0.5

Step-by-step explanation: Khan academy

Answer:

A & B

Step-by-step explanation:

Got it right

Calvin works at a clothing store. He sells 3 pairs of jeans for $66.49 each, 2 shirts $28.99 each, and a belt for $15.40. He also gives a refund for a coat that a customer returned for $89.95. What is the net change in the amount of money for the store?

Answers

Answer: 182 / 182.9

Step-by-step explanation:

199.47 +57.98 + 15.40 - 89.95    

3 x 66.49 = 199.47

2 x 28.99 = 57.98

since there was only one for the belt and the coat there is no problems for that.

add and subtract all of that and you get 182 or 182.9

i did the problem on my own and then checked it on a calculater. although if it isnt right im very sorry

Answer:

182

Step-by-step explanation:

Sean is training for a race. The equation f(x) = 5(x + 1) + 2x represents the number of miles Sean runs during any given training
week (3)
What is f(3)?

Answers

Answer:26

Step-by-step explanation:

The value of f(3) is 26.

What is function?

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given function:

f(x) = 5(x + 1) + 2x

as, we have to find the Sean running in week 3

So, f(3) = 5(3 + 1) +2 (3)

f(3) = 5(4) + 6

f(3) = 20 +6

f(3) =26

Hence, the value of f(3) is 26.

Learn more about function here:

https://brainly.com/question/12431044

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solve
sin θ = 4 cos θ

Answers

Answer:

θ=arctan(4) or 75.96°

Step-by-step explanation:

sinθ=4cosθ (given)

sinθ/cosθ = 4cosθ/cosθ (divide both sides by cosθ)

sinθ/cosθ = 4 (cancel cosθ)

tanθ=4 (sin/cos is equal to tan)

θ=arctan(4)(transposing tan will give you arctan)

θ=75.96 (calculation will give you this)

Name the angle pair relationship AND find the value of x.

Answers

Answer:

Corresponding and x = 5

Step-by-step explanation:

To solve for x set the two equations equal to each other

5x+23 = 7x+13

10 = 2x

x = 5

The lenght of a rectangle is 3 inches more then its width. Its perimeter is 42 inches, find the dimensions of the rectangle

Answers

Answer:

The problem uses the perimeter formula.  P = 2w + 2l   where w is the width, and l is the length.

 

We know the length (l) is 3 inches longer than it's width (or l = w+3).  Substitute w +3 into Perimeter equation.

 

P = 2w + 2(w+3).  That simplifies to P = 4w + 6.

 

Since P + 42,   we have 42 = 4w +6.  With some simple algebra we find that w = 9 and l = 12.

Bella wants to purchase a t-shirt for $14.89. She knows that sales tax is an additional 5%, or , of the price. To find the exact amount of the sales tax, she should multiply the purchase price by

Answers

Answer:

she should multiple by 1.05 and you will get the correct answer

without finding any other angles or sides congruent, determine which pair of triangles can be probed to be congruent by the HL theorem

Answers

Answer:

YXZ and NMO

Step-by-step explanation:

The HL (hypotenuse leg) theorem says that if the hypotenuse and one leg of one right triangle is congruent to the hypotenuse and one leg of another right triangle, the 2 triangles are congruent.

Therefore, we can see that the only 2 triangles that can be guaranteed to be congruent are triangles YXZ and NMO.

What is the greatest common factor (GCF) of 528 and 720?

Select one:
A. 18
B. 24
C. 36
D. 48

Answers

Answer:

D.48

Step-by-step explanation:

D.48

Step by step explanation:
trust

You might need: Calculator
How many solutions does the following equation have?
4(y - 30) - 4y + 12

Choose 1 answer:
А
No solutions
Exactly one solution
Infinitely many solutions

Answers

Answer:

Infinite solutions

Step-by-step explanation:

After you distribute, you get -108. The equation doesn't have an equal sign, but I don't think that matters. For every possible value of y, you get the answer -108, so the answer is either infinite solutions, or no solutions, depending on what you are trying to get the equation to equal to.

If it's a typo, and the negative is supposed to be an equal sign, the answer is no solutions.

pls help me (this is a missing assignment

Answers

the answer is in the pic.

Answer:

The answer is inside

Step-by-step explanation:

please help! humanities. ❤️

Answers

Answer:

On top of old Smo-key all cov-ered with snow

Answer:

I would personally go with the last option, On Top of Old Smo - key all cov -ered with snow

Step-by-step explanation:

I believe this is correct because In English, there are unstressed, and stressed syllables which are generally indicated in several ways. In traditional english poetry, this generally has to do with the concept of rhythm in a metric line which is a measurement of small groups of sylables called feet established by the words in the line. This is all formed by an iambic meter which is a metrical pattern in the line of a verse or a set of sentences. This method is known as Scansion.

1/3x+y=4 solve for y​

Answers

y = -1/3x + 4. hope this helps !

?×7/2=3
what does ? equal

Answers

Answer:

? = 6/7

Step-by-step explanation:

x * 7/2=3

7/2x=3

2(7/2x)=2(3)

7x=6

x=6/7

Select all ordered pairs that satisfy the function
y=2/3x + 1
A. (-3,-1)
B. (-2,-1)
C. (3, 3)
D. (5, 6)

Answers

Answer:

its D

Step-by-step explanation:

The ordered pairs that satisfy the function y = 2/3x + 1are (-3,-1) and (3,3)

How to determine the ordered pairs?

The function is given as:

y = 2/3x + 1

Next, we test the options

(a) (-3,-1)

This gives

-1 = 2/3 * -3 + 1

Evaluate

-1 = -1 --- this is true

(b) (-2,-1)

This is false because -1 = -1 is true in (a)

(c) (3,3)

This gives

3 = 2/3 * 3 + 1

Evaluate

3 = 3 --- this is true

(d) (5,6)

This gives

6 = 2/3 * 5 + 1

Evaluate

6 = 4.3 --- this is false

Hence, the ordered pairs are (-3,-1) and (3,3)

Read more about linear equations at:

https://brainly.com/question/14323743

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From the picture, we see that this boils down to finding the length of a side of a right triangle. The angle that we know about is 45^ and we know that the length of the side adjacent to the angle is 100 feet. We want to know about the length of the side that is opposite to the angle.
The tangent of an angle alpha is the ratio of the length of the opposite side to the length of the adjacent side

tan45^=x/100

1=x/100

x=100


So, the river is 100 feet across.
Now answer the following question(s).

1. Name the trigonometric ratios that was/were used to evaluate the width of the river?

2. List the most common units angles can be measured in.

Answers

Answer:

its should 2

Step-by-step explanation:

Write an expression that describes the length of a rectangle given that the width is 2z and the area is 16z^2 - 10z^2 + 2z

Answers

Answer:

3z + 1

Step-by-step explanation:

Area = 16z^2 - 10z^2 + 2z = 6z^2 + 2z = 2z(3z + 1)

Width = 2z

Area of a rectangle is given as:

Area = length × width

hence length = Area/Width

= 2z(3z + 1)/2z

= 3z + 1

Car A is traveling east at a steady speed of 60 miles per hour. After 2 hours, it is 130 miles east of Johnstown. Car B is traveling east on the same road. Its distance east of Johnstown is represented by the graph. 140 Miles east of Johnstown BO BO 1 2 Time (hours) Where were the two cars in relation to each other when they began traveling? A. Car B was 10 miles east of car A. B. Car B was 20 miles east of car A. C. Car A was 10 miles east of car B. D. Car Awas 60 miles east of car B.​

Answers

Answer: Its A

Step-by-step explanation:

Determine the number of real solutions there are for 9x2 - 12r + 18 = 0.
A. no real solutions
B. I real solution
C. 2 real solutions
D. 3 real solutions
E. not enough information

Answers

Answer:

A. No real Solution

Step-by-step explanation:(1): "x2"   was replaced by   "x^2".

(32x2 -  12r) +  18  = 0

9x2 - 12r + 18  =   3 • (3x2 - 4r + 6)

3x2 - 4r + 6

3 • (3x2 - 4r + 6)  = 0

3   =  0

Adrian needs to be at school at 7:45 am. It takes him 15 minutes to walk to school, 512 hour to eat breakfast, 0.7 hour to get dressed, and 0.15 hour to shower. What time should he wake up.

Answers

Correct question:

Adrian needs to be at school at 7:45 am. It takes him 15 minutes to walk to school, 5/12 hour to eat breakfast, 0.7 hour to get dressed, and 0.15 hour to shower. What time should he wake up.

Answer:

Adrian should wake up by 6.14 am

Step-by-step explanation:

Given;

time to walk to school, = 15 mins

time to eat breakfast = 5/12 hour = 25 mins

time to get dressed = 0.7hour = 42 mins

time to shower = 0.15 hour = 9 mins

time Adrian needs to be in school = 7.45 am

Count from this time he needs to be at school backwards by subtracting the time he will spend before reaching school;

7.45 am - 15 mins = 7.30 am

7.30 am - 25 mins = 7.05 am

7.05 am - 42 mins = 6.23 am

6.23 am - 9 mins = 6.14 am

Therefore, Adrian should wake up by 6.14 am

How many zeros are in the product 30 × 10 power of 5

Answers

Answer:

6 zeros

Step-by-step explanation:

30 x 10^5

using P.E.M.D.A.S

you do exponents first

10^5 = 100000

then 100000 x 30 = 3000000

and there is 6 zeros

The radius of a circle is 7 feet . What is the circle's area?

Answers

Answer:

The circle's area is 153.93804 feet^2

Step-by-step explanation:

The formula for the area of a circle is [tex]a = \pi r^{2}[/tex]

Using this formula, input the number 7 in for "r" and solve:

a = pi ( 7 )^2

a = pi ( 49 )

a = 153.93804 feet^2

The area of the circle is 153.93804 feet^2. Round the number to the specified decimal point.

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