Paulo’s grandfather gave him a collection of 20 coins. Each month Paulo adds 4 coins to his collection. Which inequality can be used to find m, the number of months after starting his collection when Paulo will have more than 50 coins in his collection?

Answers

Answer 1

Answer:

[tex]4m+20>50[/tex]

Step-by-step explanation:

Let m represent the amount of months that has passed.

Paulo started out with 20 coins.

Each month, he adds four more coins to his collection.

Therefore, the amount of coins added after m months will be given by 4m.

So, the amount of coins Paulo has total after m months can be given by:

[tex]4m+20[/tex]

We want to know when Paulo will have "more than" 50 coins in his collection. Therefore, we will use the "greater than" sign. Thus, our inequality will be:

[tex]4m+20>50[/tex]


Related Questions

help me i need help
what is 9/10-4/10

Answers

1/2
It stays the same denominator all you have to do is subtract 9 & 4

Clothing donations are collected to help a family in need. The function g(x) represents the number of items collected where x is the number of people who donated. Does a possible solution of (60,10) make sense for this function? Explain yojr answer

Answers

Answer:

No   g(x) = x/6     for (60, 10) to be a possible solution

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

Step-by-step explanation:

g(x)   number of items

   x   number of people  

the data point (60, 10) make sense as a possilbe solution     NO

g(x) = number of items       x = 60   g(x) = 10

g(60) = x/6 = 10              

         = 60/10            

by this function 60 people would have to donate 1/6th of a garment each to achieve 10 full garments

If you place a 21-foot ladder against the top of a building and the bottom of the ladder
is 12 feet from the bottom of the building, how tall is the building? Round to the
nearest tenth of a foot.

Answers

17.2 ft. That is the hight.

Two cards are drawn from a standard deck of cards without replacement. Find the probability of drawing a heart and a club in that order

Answers

Given:

Two cards are drawn from a standard deck of cards without replacement.

To find:

The probability of drawing a heart and a club in that order.

Solution:

We have,

Total number of cards = 52

Number of cards of each suit (Spade, club, diamond, heart) = 13

The probability of drawing a heart card is:

[tex]P(Heart)=\dfrac{\text{Number of heart cards}}{\text{Total number of cards}}[/tex]

[tex]P(Heart)=\dfrac{13}{52}[/tex]

[tex]P(Heart)=\dfrac{1}{4}[/tex]

Now, the number of remaining card is 51. So, the probability of drawing a club card is:

[tex]P(club)=\dfrac{\text{Number of club cards}}{\text{Total number of remaining cards}}[/tex]

[tex]P(club)=\dfrac{13}{51}[/tex]

Using these probabilities, the probability of drawing a heart and a club in that order is:

[tex]P(\text{Heart and club})=P(\text{Heart})\times P(\text{Club})[/tex]

[tex]P(\text{Heart and club})=\dfrac{1}{4}\times \dfrac{13}{51}[/tex]

[tex]P(\text{Heart and club})=\dfrac{13}{204}[/tex]

Therefore, the required probability is [tex]\dfrac{13}{204}[/tex].

823× 3.6 weekly math review homework for fifth grade

Answers

2962.8 is your answer

5,430 is 181% of what number?

Answers

Answer:

3000

Step-by-step explanation:

5430=1.81x

solving for x, we take 1, which is equal to 100%, and divide it by 1.81 to get 1/1.81 or 0.55248618

multiply 1/1.81 by 5430 to get 3000

the price of a sandwich decreases from $8 to $6 what is the percentage decrease in the price of the sandwich

Answers

Answer:

The percentage decrease is 25%.

Step-by-step explanation:

The difference in price is $2:

$8 - $6 = $2

Now to find the percentage decrease, we use the formula decrease in price divided by original price (or new/old) times 100:

2/8 * 100.

This equals 200/800 which is 25%.

Solve the following mentally 65% of 100

Answers

Answer: 65

Step-by-step explanation:

please, if you write an absurd anwser i will report it

Answers

a) The function is continuous in it's entire domain.

b) The increasing and decreasing intervals for the function are given as follows:

Increasing: (0,2).Decreasing: (2,10).

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In this problem, we have a piece-wise function which has the definition changing at x = 2, hence the continuity must be studied at x = 2.

The lateral limits for the function in this problem are defined as follows:

[tex]\lim_{x \rightarrow 2^-} A(x) = \lim_{x \rightarrow 2} x^2 + 2 = 2^2 + 2 = 6[/tex][tex]\lim_{x \rightarrow 2^+} A(x) = \lim_{x \rightarrow 2} \frac{-3x + 30}{4} = 0.25(-3(2) + 30) = 6[/tex]

The second limit is also equals to the numeric value at x = 2, due to the equal sign in the definition, hence the function is continuous at x = 2 and for all other values in the domain.

The intervals of increase and decrease are given as follows:

Increasing: (0,2). -> y = x² increases for x > 0, the 2 changes just the range.Decreasing: (2,10). -> decreasing line, due to the negative slope.

Translation

The function for this problem is the piece-wise function A(x).

Item a asks if the function is continuous.

Item b asks when the function is increasing and when it is decreasing.

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Find FJ plsssssssssssss

Answers

Answer:

the value of FJ would end up being 10

Answer:

10

Step-by-step explanation:

If these two shapes are similar, what is the measure of the missing length j?

Answers

Answer:

45ft is the missing length j.

help me.. pls pls pls pls

Answers

the other side is 5 hope this helps

Answer:

the other side is 5 i think

What is the average rate of change between (4,1) and (3,5)

Answers

The answer is probably somewhere online

What is the solution of the inequality shown
below?
a+5>-7

Answers

The required solution for the inequality a + 5 > -7 is (-12, ∞).

What is inequality?

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

a + 5 > -7

To find the solution for the inequality,

Simplify the inequality,

a + 5 > - 7

a > - 7 - 5

a > -12

The value of a is greater than -12, implies that,

The solution for the value of the given inequality is (-12, ∞).

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What is the distance between points A and B?
5
.
2
11 units
2 units
9 units
7 units

Answers

6 because when you that the that, then the that times the that will equal that. hope this helped!

A scientist collects a bacteria sample that begins with 7 million microbes. The sample doubles in the number of microbes every 30 minutes. The sample can be represented by the exponential equation, y = 7⋅2^t/30. Which of the following represents the equation solved for t?

Answers:
A. 30log(14) = t
B. 30 log (y-7/2)=t
C. 30log2(y/7) = t
D. 30log14 y = t

Answers

Answer:

sooo like my dude i dont actually dont know

Step-by-step explanation:

so my dude might be A dont fricking know fricking idiot lol bozo

Answer: i think C

Step-by-step explanation:

Can y’all help me on question 10?!

Answers

Answer:

B

Step-by-step explanation:

N=4x0+12=12

Answer:

12

Step-by-step explanation:

N = 4m + 12 =

N = (4 x 0) + 12

N = 0 + 12 =

N = 12

What is the surface area?
What is the surface area of E

Answers

Answer:

yes

Step-by-step explanation:

Answer:

412 (pls add the unit cuz i dont learn yd thx)

Step-by-step explanation:

13*12/2*4 + 10*10

= 312 + 100

= 412

Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.

Answers

In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.

Trigonometric functions: what are they?

The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.

as base/hypotenuse = cos x

and sin x = hypotenuse/perpendicular

To know more about trigonometric functions visit:

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Enter the distance between each pair of islands. Use
the sketch tool if it helps with your thinking.
Press I'Find the Coconuts" to check your work.
Island
Distance Between Islands
(miles)
A(10,10)
B(18,4)
C(25,-5)​

Answers

9514 1404 393

Answer:

  AB = 10

  BC ≈ 11.40

Step-by-step explanation:

The distance formula is useful for finding distances between points.

  d = √((x2 -x1)² +(y2 -y1)²)

  AB = √((18 -10)² +(4 -10)²) = √(8² +(-6)²) = √100

  AB = 10

__

  BC = √((25 -18)² +(-5-4)²) = √(7² +(-9)²) = √130

  BC ≈ 11.40

_____

A sketch tool can be useful for finding or checking the answer.

In the given figure, AE/IBC, square ABCD and triangle EBC are standing a
common side BC. If the length of AC is 6 cm, find the area of AEBC.
A
D
E
B
O
12 cm2
O
18 cm?
o
36 cm2
O
9 cm2​

Answers

The area of AEBC IS 36 cm 2 I think

Answer:

The area of AEBC is 36 cm²

hope it is helpful to you

Lindsay wishes she's she could have four times the amount of jelly beans Lisa has. Which expression shows Lindsay's wish?

A) 4 + b
B) 4 - b
C) 4 divided by b
D) 4b

Answers

Answer:

D) 4b

Step-by-step explanation:

find the value of x in the isosceles triangle shown below​

Answers

Answer:

A

Step-by-step explanation:

The segment from the vertex to the base , bisects the base at right angles

Then there are 2 right triangles with legs x and 4 and hypotenuse [tex]\sqrt{52}[/tex]

Using Pythagoras' identity in either of the 2 right angles

x² + 4² = ([tex]\sqrt{52}[/tex] )²

x² + 16= 52 ( subtract 16 from both sides )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → A

What is the equation of the
function y = x translated 3 units
up and 4 units left?

Answers

Answer:

Step-by-step explanation:

y=(x+4)+3

Answer:

y = x + 7

Step-by-step explanation:

Since y = x is a linear function, it may be confusing when using the translation tips you learned from class to solve it. However, there is an easy way to go about it.

1. Remember that when a function moves left, we use + inside of the parenthesis.

4 units left:

y = (x + 4)

2. Remember that when a function moves up, we use + outside of the parenthesis.

3 units up:

y = (x + 4) + 3

3. Add 'em up

y = x + 7

Since the function is linear, it may be confusing to see whether the graph moved up or left. However, by following the origin (0,0) of y = x and moving 4 units left and 3 units up, you will see that the origin has moved from (0,0) to (-4, 3), representing 4 units to the left and 3 units up on a graph.

Hope this helps :)

please help with this i have to pass

Answers

Answer:

A ..

Step-by-step explanation:

The graph of a quadratic function with vertex (2, -4) is shown in the figure below.
Find the domain and the range.
101
پہلے
<+
-10
10
Write your answers as inequalities, using x or y as appropriate.
Or, you may instead click on "Empty set" or "All reals" as the answer.

Answers

In the graph of a quadratic function with vertex (2, -4) is shown in the figure, the Domain: -∞ < x < ∞ and Range: -4 ≤ x < ∞.

What is quadratic function?

When a polynomial function has one or more variables and the highest exponent of any one of the variables is two, the function is said to be quadratic function.

A polynomial of degree 2 is referred to as such because the highest degree term in a quadratic function is of second degree. There must be at least one second-degree term in a quadratic function. This function is algebraic.

Domain for this quadratic function is all possible values of x where function is defined.

Thus, Domain: -∞ < x < ∞

Range is the set of value functions that correspond to the value 'x.'

Range: -4 ≤ x < ∞

Learn more about quadratic function

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please help will give brainliest

Zachary's car used 15 gallons to travel 645 miles. At what rate does the car use gas, in miles per gallon?

On the double number line below, fill in the given values, then use multiplication or division to find the missing value.

Answers

1 gallon = 43 miles
15 gallon= 645 miles

From this, 645/15=43 miles per gallon.

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

=>(c)^2=(a)^2+(b)^2

=>(c)^2=(56)^2+(33)^2

=>(c)^2=3136+1089

=>(c)^2=4225

=>c=√4225

=>c=65 metre

For what value of a does (1/9)^a+1 = 81^a+1 • 27^2-a

Answers

Answer: a = -4

Step-by-step explanation:

How many real solutions does this system of equations have? x²+y²=36
3x-y+1=0
A.0
B. 2
C. 3
D. 1

Answers

This system of equations have 2 real solution.

Do fractions actually solve problems?

As a result, all of these numbers—rational and otherwise—as well as fractions are regarded as real numbers. Due to the decimal's ability to float within the numbers, real numbers with decimal points are known as floating point numbers. No whole number or integer can be a floating point number.

y = 3x + 1 is a solution to 3x - y + 1 = 0.

This line's y-intercept is represented by (0, 1). Plot this point inside the circle with radius 6 that was previously mentioned, and then draw a straight line through it with a slope of 3.

Two points where this line crosses the circle denote actual solutions.

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