Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
represents this situation?
x + (3 - x) = 21, where x is the number of marbles Geraldo has
x + (3 - x) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Yan has
x + (x - 3) = 21, where x is the number of marbles Geraldo has
Done
My Progress >

Answers

Answer 1

Answer:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

Answer 2

Answer: X+(X-3)=21 or C


Related Questions

Sarah needs to find a plumbing company to fix the plumbing in her house. Pat’s Plumbing Company charges a flat rate of $650 to inspect the house plus $25.75 per hour of labor to fix the problem. Her friend Kristin tells her that AAA Plumbing will charge a fee on $675 to inspect the house and an hourly fee of $24.50 for labor. Kristin knows that AAA Plumbing will cost no more than Pat’s Plumbing Company. Which inequality correctly shows the relationship between the total cost of the two plumbing companies?

Answers

Answer:

An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]

Step-by-step explanation:

Pat’s Plumbing Company

Cost of inspecting house = $650

Cost of labor per hour = $25.75

Cost of labor in x hours = 25.75x

Total cost = 650+25.75x

AAA Plumbing

Cost of inspecting house = $675

Cost of labor per hour = $24.50

Cost of labor in x hours = 24.5x

Total cost = 675+24.5x

We are given that AAA Plumbing will cost no more than Pat’s Plumbing Company

[tex]675+24.5x \leq 650+25.75x[/tex]

Hence An inequality correctly shows the relationship between the total cost of the two plumbing companies is [tex]675+24.5x \leq 650+25.75x[/tex]

Answer:

carlo scored 65 out of 100 item in math. what percent of the test did he get correctly

Michael received $275 more from relatives than friends. He received $4275 dollars in all, how much money did he receive from relatives and how much money did he receive from friends?

Answers

Answer:

4000 thousand from relatives and 275 from friends

Answer:

Michael received $2275 ftom relatives and $2000 from friends

Step-by-step explanation:

Let r represent the amount of money from relatives

Let f represent the amount of money from friends

f+r=4275

f+275=r

Use substitution, f+(f+275)=4275

2f+275=4275

2f=4000

f=2000

Substitute 2000 in for f

2000+275=r

2275=r

ANSWER:

Micheal received $2275 from relatives and $2000 from friends

The student government snack shop sold 32 items this week. for each snack type, what percentage of all snacks sold where of that type

Answers

Answer:

0.02 Sorry If it isn't right.

Step-by-step explanation:

There are 4 stars 4 green circles and 7 red circles what's the ratio of blue stars to red circles

Answers

Answer:

4 to 7 *maybe

Step-by-step explanation:

Evaluate the expression when a = 4 and c = -4. -a +2c​

Answers

Answer:

-12

Step-by-step explanation:

Answer: -12
-(4)+2(-4)=-12
I hope this helps!!

(a) Explain how the Fundamental Theorem of Algebra is used to determine the number of roots for
2x^2 + 3x +5
(b) What are the roots of 2x^2 + 3x + 5? Show your work. Explain why you chose the method you used to find
the roots.
Answer:

Answers

Answer:

Step-by-step explanation

2x²+3x+5 roots means the zeros

So the method we will use is quadratic formula it's will tell us from the start whether this equation have a real solution no solution or one solution only calculating its discriminant

b²-4ac=3²-4(3)(5)

9-60=-51

If the discriminant is < 0 means the equation have no solution

are the triangles congruent ? if they are state how they are congruent .

Answers

Answer:

Step-by-step explanation:

Not congruent

Better to say that there is not enough information to say, "Triangles are congruent"

6:what=1:3 what:30=8:5

Answers

Answer:

x = 18 and x = 36

Step-by-step explanation:

let unknown value is x

6:x = 1:3

product of means = product of extremes

6*3 = 1 *x

18 = x

x:30=8:5

product of means = product of extremes

5x=180

x=180/5

x=36

Help me find the equation of the line please need it now

Giving extra points


Correct answer only

Answers

Answer:

Step-by-step explanation:

If AB ⊥ CD, then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

P( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~

y = - 2x + 6 and P(3, 3) , m = - 2

Slope of ⊥ line is [tex]\frac{1}{2}[/tex]

y - 3 = [tex]\frac{1}{2}[/tex] ( x - 3 )

y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex]  or y = 0.5x + 1.5

Pls can y’all tell me how many points will Tessa have scored in all ?

Answers

Answer: 48 points

Step-by-step explanation:

i hope this helps

24 x 2 =48 So the Answer is 48 :)

-16 + (unknown) = -6

Answers

Answer:

10  

Step-by-step explanation:

Does anybody know this??????

Answers

The correct answer is 196 or Option A.
The explanation is just as complicated as the question.
The correct answer is A. Have a nice day! :)

A is plotted on a coordinate grid at (-3 1/2,1) choose the correct grid that best shows the location of the point

Answers

Hi there! Please provide the graphs in the question so that I can determine which is the right one.

Answer is c

Step-by-step explanation:

c

Tia picked 56 ounces of blueberries. She used 8 ounces to make muffins and packed the remaining blueberries into 12-ounce packages. Which expression can be used to find the greatest number of packages of blueberries that Tia packed? ;-;

Answers

4.25.
Do 56-8 then divide that answer by 12

Answer:

4.25

Step-by-step explanation:

please help it’s due today

Answers

Answer:

-3

Step-by-step explanation:

1 - 4 = -3

2 - 1 = 1

(-3) / 1 = (-3)

Please help me I believe the answer is b correct me if I’m wrong

Answers

Answer:

71°

Step-by-step explanation:

h = 71° ( corresponding angles)

Sun-Li has 10 blue marbles, 3 red marbles, and 17 white marbles. Write each ratio in ALL three forms.
a.) blue marbles to red marbles =

b.) red marbles to white marbles =

c.) red marbles to total number of marbles =

Answers

Answer:

a.) 10:3

b.) 3:17

c.) 3:30

Step-by-step explanation:

There is 10 blue marbles, 3 red marbles, and 17 white marbles.

in total there is 30 marbles because 10+3=13 and 13+17=30.

the ratio of blue marbles to red marbles is 10:3 because there is 10 blue marbles to three red marbles.

the ratio of red marbles to white marbles is 3:17 because there is three red marbles to 17 white marbles.

the ratio of red marbles to total number of marbles is 3:30 because there is three red marbles to 30 marbles in total

Compute the probability of Carl turning 44 years old (event A), given that Susan has reached the age of 44 (event B).

Answers

Answer:

Events A and B are independent of each other, so it would be 0.95726

Step-by-step explanation:

Can you helps me put them into each category you can just say the first one is blank and so on

Answers

Answer:

1st: parallel

2nd: perpendicular

3rd: neither

4th: neither

5th: neither

6th: parallel

Step-by-step explanation:

The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent
ratio.

Answers

Answer:

54

Step-by-step explanation:

It’s getting multiplied by 3

so if 6x3=18 then 18x3=54

:DDD

¿Cómo se resuelve este problema? Con explicacion por favor.
El problema esta en el archivo

Answers

Answer:

?

Step-by-step explanation:

What is the anti derivative of f'(x)=19x+15?​

Answers

Answer:

Part A:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Part B:  [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

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

Algebra I

Functions

Function Notation

Calculus

Differentiation

DerivativesDerivative Notation

Differential Equations

Integration

Integrals[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f'(x) = 19x + 15[/tex]

Step 2: Find Antiderivative

[Derivative] Integrate both sides:                                                                 [tex]\displaystyle \int {f'(x)} \, dx = \int {19x + 15} \, dx[/tex][Left Integral] Simplify:                                                                                   [tex]\displaystyle f(x) = \int {19x + 15} \, dx[/tex][Integral] Rewrite [Integration Property - Addition/Subtraction]:               [tex]\displaystyle f(x) = \int {19x} \, dx + \int {15} \, dx[/tex][Integrals] Rewrite [Integration Property - Multiplied Constant]:               [tex]\displaystyle f(x) = 19 \int {x} \, dx + 15 \int {} \, dx[/tex][Integrals] Integration Rule [Reverse Power Rule]:                                     [tex]\displaystyle f(x) = 19 \bigg( \frac{x^2}{2} \bigg) + 15x + C[/tex]Simplify:                                                                                                         [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x + C[/tex]

Step 3: Find Particular Solution

Substitute in function value [Function f(x)]:                                                 [tex]\displaystyle 87 = \frac{19}{2}(-4)^2 + 15(-4) + C[/tex]Evaluate:                                                                                                         [tex]\displaystyle 87 = 92 + C[/tex]Solve:                                                                                                             [tex]\displaystyle C = -5[/tex]Substitute in C [General Solution]:                                                               [tex]\displaystyle f(x) = \frac{19}{2}x^2 + 15x - 5[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differential Equations

Where is the function increasing?

Answers

9514 1404 393

Answer:

  A)  1 < x < ∞

Step-by-step explanation:

"Increasing" means the graph goes up to the right. This graph is increasing for values of x greater than 1. (x=1 is a minimum. The graph is decreasing toward the minimum on the left of that value, and increasing from the minimum on the right of that value.)

  1 < x < ∞

Answer:

A if your doing prep

Step-by-step explanation:

math

Which is a different way to express 2(w + 3)?

Answers

Answer: 2w+6

Step-by-step explanation: Here you distribute. Simply multiply 2 and w which would get you 2w and 2 by 3 which would get you 6.

Total sales is $55,000.
The commission is 3.5%.
Determine the commission .

Answers

Answer:

The commission is 1925

Step-by-step explanation:

This is because you are taking 3.5% of $55,000. After doing the percent you are left with $1925 which is the commission.

Hope I helped, Have a great day! :-)

The commission of the total sales of $55000 will be $1925.

What is the percentage?

A specific number in every hundred is what is meant by the percentage. The percentage symbol percent is used to denote a fraction with 100 as the denominator.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

The percentage is also called the indicating hundredths. Thus, 3% is two-hundredth, which means 3%=3/100=0.03.

Principle amount = $55000

Commision rate = 3.5%

3.5% of 55000 = (3.5 × 55000)/100

3.5% of 55000 = $1925

Hence the 3.5% commission of the amount of $55000 will be $1925.

For more about the percentage

brainly.com/question/13450942

#SPJ2

Let f(x) = x^2 - 2 and h(x) = x - 1;
compute h(f(2))

Answers

Answer:

1

Step-by-step explanation:

2^2-2=2

2-1=1

hopefully you will find it helpful

hi guys its me addison ray shawty the baddest

Answers

Answer:

but she got away

Step-by-step explanation:

Answer:

Obviously, these lyrics are very heartfelt to me ;p

Step-by-step explanation:

Because I am Addison rae...

factor completely 16a^3-50a^2+36a

Answers

Answer: (2a+4)(8a-9)

Step-by-step explanation:

16a^3-50a^2+36a                        16(36)=576

                                                                18,32( add to 50, multiply to 576)

16a^3+18a+32a+36

2a(8a-9)4(16-9)

(2a+4)(8a-9)

Which systems have infinite solutions? Check all that apply. y = 0.5x + 2.75 and 2y = x + 2.75 y = 0.5x + 2.75 and y – 0.5x = 2.75 y = 0.5x + 2.75 and 0.5x + y = 2.75 y = 0.5x + 2.75 and y = 0.5(x + 5.5) y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

Answers

Answer:

Three solutions

Step-by-step explanation:

Infinite solutions means each and every point satisfies both the equations which means there would be a graph that overlaps the original graph.

So compare the equations with the equation

y = 0.5x + 2.75

each and every equation in this form has infinitely many solutions like

y = 0.5x + 2.75 and y - 0.5x = 2.75 these both equations are same. So they have infinitely many solutions as they overlap each other. Furthermore

y = 0.5x + 2.75 and y = 0.5(x + 5.5)

y = 0.5x + 2.75 and y = –2(–0.25x )+ 2.75

all these 4 equations are the same which is y = 0.5x + 2.75 so three systems have infinite solutions we can confirm this by using the desmos online graphing calculator just insert these equations into it and you will see all these equations are the same just like  for example

y = 2x and 2y = 4x

Answer: B, D, and E.

Step-by-step explanation: On Edge!!!!!!!!!!!!!!!

In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x Cost, y 2 8.50 5 15.25 8 22.00 12 31.00 What is the y-intercept of this function? 2.25 4.00 6.50 17.13

Answers

Answer:

B. 4.00$

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

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