Adrian has been adding 6 cards to his sports card collection each week. He started with 20 cards. Let x be the number of weeks he saves cards. Which inequality would help him find the number of weeks it will take him to have more than 100 cards?

Answers

Answer 1

Final answer:

In this mathematical context, the inequality 20 + 6x > 100 can help Adrian find out the number of weeks he needs to continue his weekly addition of 6 cards to his sports card collection to exceed 100 cards in total.

Explanation:

The subject of this question is Mathematics and it appears to be at a Middle School level. The problem involves understanding and using linear equations and inequalities.

In this situation, Adrian starts with 20 cards and adds 6 more each week. So his total number of cards is represented by the equation 20 + 6x, where x is the number of weeks. If he wants to have more than 100 cards, we set up an inequality like this:

20 + 6x > 100

Thus, the inequality 20 + 6x > 100 allows Adrian to calculate the number of weeks x he needs to continue adding cards to his collection in order to exceed 100 cards total.

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Answer 2

Final answer:

To figure out when Adrian's sports card collection will surpass 100 cards given he is adding 6 cards each week, we can set up the inequality [tex]20 + 6x > 100[/tex]. Solving this gives us that Adrian should wait at least 14 weeks to have more than 100 cards.

Explanation:

The subject of this question is Mathematics, specifically, linear algebra and inequalities. Adrian has a sports card collection which began with 20 cards. Every week, he is adding 6 new cards. The statement that relates his ongoing collections would be: 20 + 6x, where x is the number of weeks. Adrian wants to know when his collection will exceed 100 cards. To determine this, we must set up an inequality: [tex]20 + 6x > 100[/tex]. Solving this inequality gives us [tex]x > (100-20)/6[/tex], or [tex]x > 13.33[/tex]. Therefore, Adrian will need to wait at least 14 weeks to have more than 100 cards in his collection given he is adding 6 new cards per week.

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Related Questions

Select ALL the expressions that are equivalent to the polynomial below.
(4x+5)(-3x-1)
(-16x^2 + 10x - 3) + (4x^2 - 29x - 2)
3(x - 5) - 2(6x^2 + 9x + 5)
2(x - 1) - 3(4x^2 + 7x + 1)
(2x^2 - 11x - 9) - (14x^2 + 8x - 4)
(-15x^2 + 9x - 10) + (3x^2 - 10x - 5)
(4x^2 - 13x - 7) - (16x^2 + 9x - 5)

Answers

For this case we have the following polynomial:
(4x + 5) (- 3x-1)
Rewriting we have:
-12x ^ 2 - 4x - 15x - 5
-12x ^ 2 - 19x - 5
The equivalent polynomials for this case are given by:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)
Answer:
(-16x ^ 2 + 10x - 3) + (4x ^ 2 - 29x - 2)
2 (x - 1) - 3 (4x ^ 2 + 7x + 1)
(2x ^ 2 - 11x - 9) - (14x ^ 2 + 8x - 4)

answers would be A D C

The Nichols family consists of 8 children and 2 adults. The family minivan can safely transport a total of 7 family members, including an adult driver.

Which number line illustrates the capacity of the Nichols minivan as an inequality?

Answers

For this case, the first thing we must do is define a variable:
x: number of people who will use the family minivan.
We have then:
"The family minivan can safely transport a total of 7 family members, including an adult driver":
x <= 7
Answer:
x <= 7
A number line that illustrates the capacity of the Nichols minivan as an inequality is:
option C)

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds: f(t) = −16t2 + 48t + 160 The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____ feet per second.

Answers

The Average rate of change of f(t) from t = 3 seconds to t = 5 seconds is - [tex]v_{avg} = -80\;ft/s[/tex]

We have a equation -

[tex]f(t) = -16t^{2} +48t+160[/tex]

that calculates the height of the ball from sea level in feet at different times.

We have to find the average rate of change of f(t) from t = 3 seconds to t = 5 seconds.

What is Average velocity?

The rate of change of displacement per unit time is called average velocity. Mathematically -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

We have -

[tex]f(t) = -16t^{2} +48t+160[/tex]

For time t = 3 seconds, f(t) is -

[tex]f(3) = -16(3)^{2} + 48(3) + 160\\f(3) = -144 +144 +160\\f(3) = 160\; feets\\[/tex]

For time t = 5 seconds, f(t) is -

[tex]f(5) = -16(5)^{2} + 48(5) + 160\\f(5) = -400+240+160\\f(5) = -400 + 400\\f(5) = 0 feet[/tex]

The formula for average velocity is -

[tex]v_{avg} = \frac{d_{2} - d_{1} }{t_{2} - t_{1} }[/tex]

According to question -

[tex]t_{2} = 5s[/tex] and [tex]t_{1} = 3s[/tex]

[tex]d_{2} = f(5) = 0 feet[/tex] and [tex]d_{1} = f(3)=160[/tex]

Substituting the values in the formula of average velocity, we get -

[tex]v_{avg} = \frac{0 - 160}{5 - 3} \\v_{avg} = \frac{-160}{2\\} \\v_{avg} = -80\;ft/s[/tex]

Hence, average rate of change of f(t) from t = 3 seconds to t = 5 seconds is [tex]v_{avg} = -80\;ft/s[/tex].

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I really need this answer to be correct

Answers

it is unchanged because the same number would still be in the middle and there would still be the same amount of numbers

if
11,15,21,22,23,27,30 before 22 is the median

if
11,15,21,22,23,27,30 after 22 is still the median

The median is unchanged

Consider the following graph of a piecewise-defined function.

When x<-2, f(x)=

A: -3
B: 5
C: 2

When -2
A: x+2
B: 2x+2
C: 2x

When x>3, f(x)=

A: -3
B: 5
C: 2

Answers

From the graph of peicewise-defined function, we shall obtain the answers to the questions as follows:
a] When x<-2, the value of f(x) will be f(x)=5
Answer: B:5

b] when x≥3, the value of f(x) will be f(x)=-3
Answer: A: -3

Answer:

When x<-2, f(x) = 5

When -2<x<3, f(x)= 2x+2

When x>3, f(x)= -3

Step-by-step explanation:

Solve the system of equations -4x + 3y = -2 y = x - 1

Answers

You can use the substitution method.
Plug in x-1 to the first equation and solve.
-4x+3(x-1)=-2
-4x+3x-3=-2
-x=1
X=-1
You then plug x into one of the original equations and solve
Y=-1-1
Y=-2
Answer:(-1,-2)

The solution to the system of equations -4x + 3y = -2 and y = x - 1 is x = -1 and y = -2.

What is the solution to the system of equations?

Given the system of equations in the question:

-4x + 3y = -2

y = x - 1

Solve the system of equations by substituting the expression for y from the second equation into the first equation:

-4x + 3y = -2

Plug in y = x - 1:

-4x + 3( x - 1 ) = -2

Simplifying, we get:

-4x + 3x - 3 = -2

Solve for x:

-x = -2 + 3

-x = 1

x = -1

Now, plug x = -1 into equation 2 and solve for y:

y = x - 1

y = -1 - 1

y = -2

Therefore, the solution is x = -1 and y = -2.

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I need help

Simplify 4z2 + z2 + 6a.

4z2 + 7a

5z2 + 6a

3z2 + 6a

11az2

Answers

5z^2 + 6a

This is because there is an imaginary 1 in front of the second term that you have to remember to use when combining like terms.

WILL GET BRAINLIEST

Which does NOT represent the interior angle measures of a triangle? A.5°, 75°, 100°B.10°, 80°, 90°C.20°, 60°, 100°D.45°, 45°, 45°E.50°, 50°, 80°

Answers

The angles should measure 180º.

5° + 75°+ 100° = 180°

10°+ 80°+ 90° = 180°

20° + 60° + 100° = 180°

45° + 45° + 45° = 135°

50° + 50° + 80° = 180°

So D does not represent interior angle measures of a triangle.

Hope this Helps!!

Jack and Jane are married and both work. However, due to their responsibilities at home, they have decided that they do not want to work over 65 hours per week combined. Jane is paid $14 per hour at her job, and Jack is paid $7 per hour at his. Neither of them are paid extra for overtime, but they are allowed to determine the number of hours per week that they wish to work. If they need to make a minimum of $770 per week before taxes, what is the maximum amount of hours that Jack can work per week according to these limits?

Answers

By setting up a system of equations we can easily solve this problem. Let's denote Jane's working hours with x and Jack's working hours with y. Since they don't want to work more than 65 hours, the first equation is x+y=65. The second equation is 14x+7y=770. By solving this system of equation [tex] \left \{ {{x+y=65} \atop {14x+7y=770}} \right. [/tex], we find that y=20 hours, which is Jack's maximum working hours.

Answer:

Step-by-step explanation:

What is the y-intercept of the line whose equation is y = x - 3?

Answers

Answer:

-3

Hope this helps! Please mark as brainliest.

For bananas are to be selected from a group of seven in how many ways can this be done

Answers

Seven ways since there are 7 bananas but you said for

Please help due tomorrow! Math

Answers

The seats in the theater follows the sequence given by:
7,9,11,..
This is an arithmetic sequence which follows an explicit formula given by:
an=a+(n-1)d
where:
a=first term
d=common difference
but
a=7 and d=9-7=2
thus
an=7+(n-1)2
an=7+2n-2
an=2n-5
Thus the number of seats in nth row is:
an=2n-5

A shipping container is in the shape of a right rectangular prism with a length of 13.5 feet, a width of 10.5 feet, and a height of 2.5 feet. The container is completely filled with contents that weigh, on average, 0.33 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answers

The total weight of the container is given by:
Total weight=(volume of the container)*(weight per cubic volume)
volume of the container
=length*width*height
=13.5×10.5×2.5
=354.375 ft³

weight per cubic volume=0.33 pound per cubic ft

Total weight=354.375×0.33=116.94375 pounds~117 pounds

The weight of the contents in the container, to the nearest pound, is 117 pounds.

To calculate the weight of the contents, we first find the volume of the container, then multiply it by the weight per cubic foot.

Step 1: Calculate the volume of the container.

Volume = length × width × height

Volume = 13.5 ft × 10.5 ft × 2.5 ft

Volume = 354.375 cubic feet

Step 2: Calculate the weight of the contents.

Weight = Volume × Weight per cubic foot

Weight = 354.375 cubic feet × 0.33 pounds per cubic foot

Weight ≈ 116.8725 pounds

Rounded to the nearest pound, the weight of the contents is 117 pounds.

First, we find the volume of the container by multiplying its length, width, and height together. The formula for the volume of a rectangular prism is length × width × height. In this case, the dimensions are given as 13.5 feet for the length, 10.5 feet for the width, and 2.5 feet for the height.

Next, we multiply the volume of the container by the weight per cubic foot of the contents to find the total weight. The average weight per cubic foot is given as 0.33 pounds.

Finally, we round the calculated weight to the nearest pound to match the desired precision. In this case, the weight of the contents is rounded to 117 pounds.

Complete question:

Please answer ASAP!!! How many vertical asymptotes does the graph of this function have ?

Answers

Answer:

The answer is 1.

Got it from Apex

Step-by-step explanation:

Find the domain of the function :

Can you show the steps

Answers

a rational function must not have a denominator of 0, since that means the divisor is a 0 and there's no number whatsoever you can multiply it with 0 to get the dividend, the short version of all that is, the fraction is "undefined".

a domain for a rational is any values of "x" that are safe, namely will not make the denominator undefined, there are a few other constraints, but this is the only one in this case.

so, what values "x" cannot take on safely? well, we can find out what makes the denominator to 0, by simply, yeap, you guessed it, zeroing it out, let's do so,

[tex]\bf 5x+2=0\implies 5x=-2\implies x=-\cfrac{2}{5}[/tex]

so, if ever "x" becomes -2/5, our handy dandy fraction will go poof.

so the domain is all real numbers for "x", EXCEPT -2/5, or in Set Builder notation, {x | x ∈ ℝ; x ≠ -⅖}

Which equation is NOT true?

A. 15x + 55 = 6x + 4x

B. 15x + 55 = 26x

C. 25x + 55 = 180

D. m ∠S = 6x + 4x

Answers

Answer:

Step-by-step explanation:

Answer:

A. 15x + 55 = 6x + 4x

Step-by-step explanation:

Process of elimination the rest are true so this one is not. The angles of one side are supplementary with these angles which means they are not congruent.

10. simplify the rational expression by rationalizing the denominator.( 1 point ) 4√150/√189x

Answers

rationalizing the denominator, simply means "getting rid of that pesky root at the bottom", and we do so by simply multiplying it by something to take it out, of course, we multiply the bottom, we have to also multiply the top,

[tex]\bf \cfrac{4\sqrt{150}}{\sqrt{189x}}\cdot \cfrac{\sqrt{189x}}{\sqrt{189x}}\implies \cfrac{4\sqrt{150}\sqrt{189x}}{(\sqrt{189x})^2}\implies \cfrac{4\sqrt{(150)({189x})}}{189x}[/tex]

[tex]\bf \cfrac{4\sqrt{28350x}}{189x}\qquad \begin{cases} 28350=2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 5\cdot 7\\ \qquad 2\cdot 3^2\cdot 3^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2)^2\cdot 5^2\cdot 7\\ \qquad 2\cdot (3^2\cdot 5)^2\cdot 7\\ \qquad 2\cdot (45)^2\cdot 7\\ \qquad 14\cdot 45^2 \end{cases}\implies \cfrac{4\sqrt{14\cdot 45^2}}{189x} \\\\\\ \cfrac{4\cdot 45\sqrt{14}}{189}\implies \cfrac{180\sqrt{14}}{189x}\implies \cfrac{20\sqrt{14}}{21x}[/tex]

What is the answer for this equation?

36^-x+3=(1/216)^x+1

Answers

x=-9
also photomath is a good app to use for math ☺️
hoped this helped

Let logba=3 logbc=2 logbd=5 what is the value of logba^3d^4/c^2

Answers

[tex]Use:\\\log_ax+\log_ay=\log_a(xy)\\\\\log_ax-\log_ay=\log_a\dfrac{x}{y}\\\\\log_ax^n=n\cdot\log_ax[/tex]

[tex]\log_ba=3;\ \log_bc=2;\ \log_bd=5[/tex]

[tex]\log_b\dfrac{a^3d^4}{c^2}=\log_b(a^3d^4)-\log_bc^2=\log_ba^3+\log_bd^4-\log_bc^2\\\\=3\log_ba+4\log_bd-2\log_bc=3\cdot3+4\cdot5-2\cdot2=9+20-4=25[/tex]

Answer:

Step-by-step explanation:

A rectangular wall has a length of 12ft and a width of 8ft. The wall has two rectangular windows. Each window has a width of 3ft and a height of 5ft. Andrea chooses a point on the wall at random to test a new paint color. What is the probability she could choose a point on a window

Answers

The probability would be about 31%

Sin (2x -9)= Cos (x +30) to solve for x

Answers

A graphing calculator shows four (4) zeros of
f(x) = sin(2x -9°) -cos(x +30°)
in the range 0° ≤ x ≤ 360°

Solutions are x ∈ {23°, 129°, 143°, 263°).

_____
You can make use of a couple of trig identities to rearrange this equation.
cos(x) = sin(x+90°)
sin(a) -sin(b) = 2*cos((a+b)/2)*sin((a-b)/2)
So
sin(2x -9°) -sin(x +120°) = 2*cos((3x +111°)/2)*sin((x -129°)/2) = 0
The cosine factor will be zero for
(3x +111°)/2 = n*180° +90°
3x -69° = n*360°
x = 23° +n*120° . . . . . . for any integer n
The sine factor will be zero for
(x -129°)/2 = n*180°
x = 129° +n*360° . . . . . for any integer n

Combined, these solutions give the ones listed above in the range 0..360°.

brainly The point (−4, 2) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)

Answers

The tangent = -2/4 = -1/2
The length of the hypotenuse = sqrt20 = 2 sqrt5
sine = 2 / 2 sqrt5 = 1 / sqrt5
cosine = -4 / 2 sqrt5 = -2/sqrt5

Write a quadratic equation whose solutions are 2i and -2i.

Answers

are there any answer choices

Answer:

answer= 2i

Step-by-step explanation:

The monthly rent of Marilyn's house went from $500 to $400, if p is the percent decrease in the rent, which proportion can be used to calculate p?

Answers

Answer:

Step-by-step explanation:

doing the test right now

Item 11 Solve y=4x+8x for x.

Answers

Final answer:

To solve the equation y = 4x + 8x for x, isolate x by combining like terms on the right side and dividing both sides by 12. The solution is x = y/12.

Explanation:

To solve the equation y = 4x + 8x for x, we need to isolate x on one side of the equation.

We can start by combining the like terms on the right side:

12x = y

To find the value of x, divide both sides of the equation by 12:

x = y/12

So the solution to the equation is x = y/12.

Final answer:

To solve the equation y = 4x + 8x for x, combine like terms to get y = 12x and then divide both sides by 12 to find x = y/12.

Explanation:

The student's question requires us to solve the given equation for x. The original equation provided is y = 4x + 8x. To solve for x, we first combine like terms on the right side of the equation.

Combine like terms: y = 4x + 8x becomes y = 12x.Divide both sides of the equation by 12 to isolate x: x = y/12.

The solution for x is x = y/12. This is a straightforward algebraic manipulation that involves combining like terms and using division to solve for the unknown variable.

Which ordered pair is a solution of y = x + 12?
(24, 12)

(9, 21)

(–12, –24)

(0, –12)

Answers

the answer is (9,21) because is you plug in 9 for x, and add 12, you get 21.

The (24,12) because 12 + 12 = 24

the equation 3sinx+cos^2x=2 is solved below
Please help! Thanks!

Answers

we have that
3sin x+cos²x=2
3sin x+(1-sin²x)=2
-sin²x +3sin x=1
sin²x -3 sin x+1=0---------> up to here the procedure is correct
let
A=sin x
then
A²-3A+1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(A²-3A)=-1

Complete the square. Remember to balance the equation by adding the same constants to each side.

(A²-3A+2.25)=-1+2.25

Rewrite as perfect squares

(A-1.5)²=1.25

(+/-)(A-1.5)=1.12

first solution

(A-1.5)=1.12--------> A=1.12+1.5-----> A=2.62-----> sin x=2.62

second solution

-(A-1.5)=1.12----> -A+1.5=1.12----> A=1.5-1.12----> A=0.38---> sin x=0.38

the answer is

the equation was factored incorrectly

Its is b. hope this halps

15 is 10 % of what number

Answers

15*10=150

15 is 10% of 150

please help asap 48 pts

Answers

The correct answer is B.

The correct answer is B

-2y multiplied by -2y = 4y^2
3x Times 5x = 15x^2
3x Times -2y = -6xy
-2y times 5x = -10xy
-6xy plus -10xy = -16xy

If the sum of two numbers is 20 and one of those numbers is three times the other, what is the smaller number?

Answers

x = smaller number
y = bigger number

y = 3x

x+y = 20
x+3x = 20
4x = 20
x = 5

The smaller number is 5.

Other Questions

Which encryption algorithm cannot be broken mathematically and does not require the use of a computer? in hexagonal writing, an analysis of literary devices explores____? what is 750 * 750 ???????? _______ are the first waves to leave the focus after an earthquake. Metallic copper is formed when aluminum reacts with copper(ii) sulfate. how many grams of metallic copper can be obtained when 54.0 g of al react with 319 g of cuso4? al + 3cuso4 al2(so4)3 + 3cu which is an example of de facto segregation?A) A law establishes schools for white children onlyB) Families of the same race live in the same neighborhoodC) Laws require children to go to integrated schoolsD) Citizen groups denounce racial integration What is a parllogarm and how to work on it Which action should be taken as part of the third step in the problem-solving process? x How do I find the values for a, b, and c, to complete the solution? What is the length of GH, to the nearest tenth of a meter? 7.3 m 13.7 m 14.1 m 19.4 m A scalene triangle G H J. The base side is J H. Side G J is labeled as 10 meters. Angle J is labeled as 45 degrees. Angle H is labeled as 31 degrees. If you use money as a store of value, you would be A. buying a new pair of shoes. B. putting money in your college savings account. C. comparing tuition costs for Princeton and Yale. D. charging a new book on your credit card. E. withdrawing $500 from your checking account. You are a psychologist interested in how groups behave. you study groups in the laboratory, at the workplace, and in informal settings. most likely, you are a ________ psychologist. What is the percent by mass of chlorine in NaCl? How many community college districts are there in texas? 2 + 3 16 2 21 3 The Clean Air Act would be a reason for the Environmental Protection Agency (EPA) to regulate car emissions. Please select the best answer from the choices provided T F find (f o g)(2) and (f+g)(2) when f(x)=1/x and g(x)=4x+9 The graph represents the feasible region for the system: y What is the measure of N?