Which situation can be represented by the inequality 150 ≤ 15x + 55 ?

a. Thomas has 15 baseball cards in his collection. He will buy 55 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

b. Thomas has 15 baseball cards in his collection. He will buy 55 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at least
150 baseball cards?

c. Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

d. Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at least 150 baseball cards?

Answers

Answer 1

Inequalities help us to compare two unequal expressions. The correct option is C.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The situation that can be represented by the inequality 150 ≤ 15x + 55 is Thomas has 55 baseball cards in his collection. He will buy 15 new ones every month. Thomas collects baseball cards for x months. For what values of x will Thomas have at most 150 baseball cards?

Hence, the correct option is C.

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Related Questions

The half-life of a radioactive kind of praseodymium is 17 minutes. If you start with 56 grams of it, how much will be left after 34 minutes?
grams

Answers

Answer:

14 gm

Step-by-step explanation:

34 minutes is TWO half lives   1/2 * 1/2 = 1/4   will be left

   1/4 * 56 = 14 gm

3.
Which is a true statement about two numerical sets of data that have positive
association?

Answers

Answer:
D. As one variable increases, the other
variable decreases
Step-by-step explanation:
Negative correlation also called inverse
correlation is a relation between two
variables whereby they behave in opposite
manner.When one variable moves in an
increasing direction, the other variable
moves in a decreasing direction.

A line has a slope of 2. It passes through the points (1, 2) and (3, y) . What is the value of y?

Answers

Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

Answer of y is 6.

Refer image

Move a number or variable to each line to create the expression.

Answers

Answer:

y + 5x + 8

Explanation:

Has three termscoefficient of 5constant of 8

Move numbers or variable:

y + 5x + 8

Additional Information:

x + y + 1

This has three terms, coefficient of 1, constant of 1

Answer:

[tex]\huge\boxed{\bf\: x + 5y + 8}[/tex]

Step-by-step explanation:

We need to make an expression using the given conditions. Let's look at them in order.

Condition 1:

If the expression has three terms then let's take the three terms as, x, y & z. Therefore, the expression uoto now = x + y + z.

Condition 2:

Now, the expression has a term with coefficient = 5. Let's put 'y' with coefficient 5 since the second term has two blanks in the question. So, expression = x + 5y + z.

Condition 3:

The expression also has a constant 8. By substituting the value of 'z' with 8 (as 'z' is not given in the options), we get the final expression as → x + 5y + 8.

[tex]\rule{150pt}{2pt}[/tex]

What is 10 raised to the second power x2​

Answers

Answer:

100

Step-by-step explanation:

10 to the second power is 10^2. Therefore, that is 10x10.

This results in 100.

Answer:

100

Step-by-step explanation:

it is 100 because first you have to get 2 10's and times 10 x 10= and that equals 100 so thats how you get 100!

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft

Answers

so, to find the measure of an src length we use the formula

angle / 360 * 2 pi r

so, if we plug it in, it is

85 / 360 * 2 pi 4


that equals 17 pi / 9 ft^2

that is the arc length.


to find the perimeter of the sector ( a sector is j the region w the arc) add the two radi as well as the newly found arc length

that should be 4 + 4 + 17 pi / 9



this equals roughly 13.9341 ft^2

Hi I need Help* math problem ( i will give brainlist ) Is the following graph linear, exponential or quadratic

Answers

Answer:

the answer is exponential

Step-by-step explanation:

Answer:

Hi! My guess would be exponential.

Step-by-step explanation:

stay safe, and I hope I helped I apologize if I am wrong, good luck friends

The vector u has magnitude 6 and direction 330°. If vector v = =-u, then what is
the magnitude and direction of vector v? Write your direction in degrees in the
interval 0° 0 < 360°.

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

vector v has magnitude of 6 units and direction 150°

The perimeter of a rectangular field is 354m.
If the width of the field is 81m , what is its length?

Answers

Answer:

The length of the field is equal to 96 m.

General Formulas and Concepts:
Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Geometry

Perimeter Formula [Rectangle]: P = 2l + 2w

l is lengthw is width

Step-by-step explanation:

Step 1: Define

Identify given.

P = 354 m

w = 81 m

Step 2: Find Length

[Perimeter Formula - Rectangle] Substitute in variables:
354 m = 2l + 2(81 m)Simplify:
354 m = 2l + 162 m[Subtraction Property of Equality] Isolate l term:
192 m = 2l[Division Property of Equality] Isolate l:
96 m = lRewrite:
l = 96 m

∴ we have found the length of the field to be 96 meters.

---

Topic: Geometry

Simplify the expression. Write your answer as a power.

Answers

Answer:

If the question asks to write the answer as a power, it should be the power of 6 without the variable of Z.

Please help me I don’t how to do this

Answers

Answer:

C. 5f +25

Step-by-step explanation:

-7- -13 ( subtracting integers) ​

Answers

Answer:

Looking at the problem we come across one issue where we have two minus signs.  However, this issue can be fixed because for example if we multiply -1 by -1 we would just get 1.  Therefore these two minus signs cancel out and we put a plus sign so our problem becomes -7 + 13.  Now we just combine and we get 6.

Answer:

6

Step-by-step explanation:

[tex](-7)-(-13)\\(-7)+13\\13-7\\6[/tex]

While waiting for the school bus, Michiko records the colors of all cars passing through an intersection. The table shows the results. Estimate the probability that the next car through the intersection will be red. Express your answer as a percent. If necessary, round your answer to the nearest tenth. Red, 11 silver, 24 gray, 16 black, 9

Answers

Answer:

18.33%.

Step-by-step explanation:

The total number of cars is 60

what you want is the red number (11)

You set up what you want over what you have and end up with:

11/60

turn this into decimal and you get 0.183

to turn into percent multiply by a 100

You end up with 18.33%

Answer:

18.3%

Explanation:

Red = 11, silver = 24, gray = 16 black = 9

Total Cars = 11 + 24 + 16 + 9 = 60 cars Red Cars = 11 cars

[tex]\sf probability = \dfrac{favorable \ outcomes}{total \ possible \ outcomes}[/tex]

[tex]\rightarrow \sf \dfrac{11}{60} \ x \ 100[/tex]

[tex]\rightarrow \sf 18.3 \%[/tex]

A bag contains 8 blue marbles, 6 green marbles, 12 yellow marbles, and 10 orange marbles. A marble is drawn at random
bag
What is the probability that the marble drawn will not be blue?
2/9
3/4
7/9
7/8

Answers

Answer:

Probability of anything =

    (number of possible successful outcomes)

divided by

    (total possible number of outcomes) .

There are 36 total marbles in the bag, so there are 36 total

possible outcomes of one draw.

The successful outcomes are all the possible draws that are

not blue.    There are 28 of those.

So the probability of a non-blue selection is

        28/36  =  7/9  =  77.8%  (rounded)

Step-by-step explanation:

Answer:

The probability that a marble ball drawn will not be blue is

[tex] \frac{7}{9} [/tex]

Determine the justification for the steps from the derivation of the quadratic formula. justification of step a: justification of step b:

Answers

The justification of step a is common denominator and the justification of step b is multiplication property of equality

How to determine the justifications?

The equation is given as:

[tex]a(x + \frac{b}{2a})^2 = -c + \frac{b^2}{4a}[/tex]

Take the LCM

This gives

[tex]a(x + \frac{b}{2a})^2 = \frac{-4ac + b^2}{4a}[/tex]

The above represents a common denominator.

Multiply both sides by 4a

[tex]4a^2(x + \frac{b}{2a})^2 = -4ac + b^2[/tex]

The above represents the multiplication property

Hence, the justifications are common denominator and multiplication property of equality

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Step A: common denominator

Step B: multiplication property of equality

1/4 how do u get 16 from it show me the calculations​

Answers

Answer:

It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25

Which inequality is equivalent to −y≥18?

Answers

                    [tex]\rule{199}{1}[/tex]

Given question:-

Which inequality is equivalent to -y≥18?

Answer and how to solve:-

Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.

So we get

y≤-18

Notice that the inequality sign changed.

The inequality sign changes when we divide both sides of an inequality by a negative number.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

what is : 96 x 68.43 ?

Answers

96 times 68.43 would be 6569.28, or 6579 7/25

Charles has 24 marbles. He has 6 more marbles than blue marbles. Which equation represents this situation.

LOOK AT THE PICTURE BELOW!

Answers

Answer:

n + (n + 6) = 24.

Step-by-step explanation:

Let him have n  blue marbles, then he has n + 6 other narbles.

He has a total of 24 marbles, so:

n + (n + 6) = 24.

Answer:

B) n + (n + 6) = 24, where n is the blue marbles

Step-by-step explanation:

^^

Eleniz is using her phone all day. her battery life is down to
76 and it drains another 1/9 every hour. how many hours will
the battery last?

Answers

Answer:

6.84 hours

Step-by-step explanation:

I will have to assume  100 is fully charged and that it drains 1/9 of 100 for each hour

76 / ( 100 * 1/9) = 6.84 hrs

Solve the equation -15=8z+7.
z=

Answers

z=-11/4. Hope that helped.

Answer:Hello the  Answer to your math problem  is attached

Step-by-step explanation:

(a+4)²-11(a+4)- 42 factorize ​

Answers

[tex](a+4)^2 -11(a+4) -42\\\\=x^2 -11x -42~~~~~~~~~~~~~~~~~~~~~~~~;[a+4 = x]\\\\=x^2 -14x +3x -42\\\\=x(x-14) +3(x-14)\\\\=(x+3)(x-14)\\\\=(a+4+3)(a+4-14)~~~~~~~~~~~~;[\text{Substitute back}~ a+4 =x]\\\\=(a+7)(a-10)[/tex]

Answer:

(a - 10) (a + 7)

Step-by-step explanation:

⠀⠀⠀⠀□ Question

(a + 4)² - 11(a + 4) - 42

Fractorize

⠀⠀⠀⠀■ Solution

Let (a + 4) = x

So the equation will be

[tex] \sf \large {x}^{2} - 11x - 42[/tex]

Using spitting the middle term method.

[tex] \sf {x}^{2} - 14x + 3x - 42[/tex]

Taking common

[tex] \sf x(x - 14) + 3(x - 14)[/tex]

[tex] \sf (x - 14)(x + 3)[/tex]

Putting value of 'x'

[tex] \sf (a + 4 - 14)(a + 4 + 3) \\ \\ \boxed{ \frak{(a - 10)(a + 7)} } [/tex]

HELP!!! like plsssss

Answers

Answer:

68 cubic feet

Step-by-step explanation:

Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!

Hope this helps! ;-)


what is the volume of an equilateral triangular pyramid with base side length of 9 cm, base
height of 7.8 cm, and height of 5 cm? round your answer to the nearest tenth.

Answers

Answer: multiply 7multiplyAnswemltiplymultiplyAnswemultiplyrr multiply

Step-by-step explanatioexplanationexplanatioexplanationnn:

Tegan is checking her tax bill for the last year.
the tax rates were as follows:
•No tax on the first of £11,000 earnings
•earnings in excess of £11,000 and up to £43,000 taxed at a rate of 20%
•earnings in excess of £43,000 and up to £150,000 taxed at a rate of 40%
last year Tegan earned £48300 before tax
how much tax did she pay in total. please help give you brainiest.

Answers

A percentage is a way to describe a part of a whole. The total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Since there is no tax for the first £11,000, therefore, the earnings which will be taxed,

£48,300 - £11,000 = £37,300

The amount of tax for the income of £11,000 to £43,000, will be,

20% of (£11,000 to £43,000)

= 20% × (£43,000 - £11,000)

= £6,400

The amount of tax for the income of £11,000 to £150,000, will be,

40% of (£43,000 to £48,300)

= 40% × (£5,300)

= £2,120

Hence, the total tax of Tegan's earnings will be £8,520(£6,400+£1,200).

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Which statements about the hyperbola are true? check all that apply. the center is located at (0, 0). there is a vertex at (–6, 0). the transverse axis of the graph is vertical. the foci are located within the rectangular reference box. the directrices are vertical lines.

Answers

The following claims concerning hyperbola are correct:

The center can be found at (0, 0).At (–6, 0), there is a vertex.Vertical lines serve as directrices.

What is a hyperbola, exactly?

It's worth noting that a hyperbola is essentially an open curve with two branches.

The center is at (0, 0), the vertex is at (–6, 0), and the directrices are all vertical lines.

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Answer:

1,2,5

Step-by-step explanation:

what’s the volume of the prism?

Answers

Answer:Don’t know I will just get points.Thx

Step-by-step explanation:

slope for (-7, -4) and (8, 8)

Answers

Answer:

4/5

Step-by-step explanation:

Can you please help me at
a=3/5 b=4/5 c=?

Answers

Answer:

a=3/5 , b=4/5. ,.

c=5/5

c=5/5

=1

The number of sweets in a bag are normally distributed with mean 48 and standard deviation 4.

What is the probability that a bag selected at random contains more than 50 sweets? Give your answer as a decimal correct to 3 significant figures.

Answers

Answer:

0.33 recurring

Step-by-step explanation:

assuming alol the fractions are equal, find the total number of possibilities and assign one for each number

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