answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Hitman42 [59]
2 years ago
12

8. Finley has 152 yellow, red, and blue marbles in a bag. He has seven more red marbles than yellow marbles, and three times as

many blue marbles as yellow marbles. How many yellow marbles does Finley have? Write an equation to represent this problem. Then solve the equation. A. x + x + 7 + 5x = 152; x = 21 B. x + x + 7 + 3x = 152; x = 29 C. x + x + 7 + x = 152; x = 48 D. x + x + 7 + 2x = 152; x = 36
Mathematics
1 answer:
DochEvi [55]2 years ago
5 0

Let number of yellow marbles = x

Let number of red marbles = y

Let number of blue marbles = z


Given that Finley has 152 yellow, red, and blue marbles in a bag.

So we get equation:

x+y+z=152...(i)


"He has seven more red marbles than yellow marbles" means:

y=x+7...(ii)

"three times as many blue marbles as yellow marbles." means:

z=3x...(iii)

Now we just need to solve those equations to find the answer.


Plug (ii) and (iii) into (i)


x+(x+7)+(3x)=152

x+x+7+3x=152

Which looks similar to choice (B)


5x+7=152

5x=145

x=29

Hence final answer is choice B.

Required equation is

x+x+7+3x=152

Number of yellow marbles = 29

You might be interested in
What is the value of z in the equation 3z - 7 = 14
Arte-miy333 [17]
This is simply solving an equation...

You do this...

3x-7=14
    +7   +7
---------------
3z=21
---  ----
3     3

z=7
hope this helped! Give me a 5-rate and a thanks if so!
6 0
2 years ago
Four friends each ordered individual pizzas at a restaurant. Suzy ate 3/8 of her pizza. Ethan ate 3/5 of his pizza. Tenaya ate 4
Kay [80]

Answer:

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.

Step-by-step explanation:

We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?

Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.

Ethan ate 3/5 of his pizza. It means he ate 0.6 of his pizza which is greater than half.

Tenaya ate 4/6 of her pizza. It means she ate 0.67 of his pizza which is greater than half.

Sam ate 1/3 oh his pizza. It means he ate 0.3 of his pizza which is less than half.

Hence, we can conclude that

Ethan and Tenaya ate more than half of their pizza.

Sam and Suzy ate less than half of their pizza.



7 0
2 years ago
An emu that measures 60 inches in height is 70 inches less than 5 times the height of a kakapo. What is the height of a kakapo i
Lunna [17]
<span>We can solve the following equation: 5 x - 70 = 60, where x is the height of a kakapo in inches : 5 x - 70 + 70 = 60 + 70 ( we will add 70 to the both sides of an equation ), 5 x = 130, x = 130 : 5, x = 26 inches. We can prove it: 26 * 5 - 70 = 130 - 70 = 60 inches ( the height of an emu in inches ). Answer: The height of a kakapo is 26 inches.Hope I helped! :) Cheers!</span>
7 0
2 years ago
Out of 40 chocolates, ram and i shared in the ratio 1:3 . how many chocolates did ram get?
Leviafan [203]
So ram had 10 chocolates and i had 30 chocolates

because 1:3= 10:30
=> 4= 40
4 0
2 years ago
Read 2 more answers
Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4, and then find the nth Maclaurin polynomials for the function in
Zielflug [23.3K]

Answer:

Σ(-1)^kx^k for k = 0 to n

Step-by-step explanation:

The nth Maclaurin polynomials for f to be

Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......

The given function is.

f(x) = 1/(1+x)

Differentiate four times with respect to x

f(x) = 1/(1+x)

f'(x) = -1/(1+x)²

f''(x) = 2/(1+x)³

f'''(x) = -6/(1+x)⁴

f''''(x) = 24/(1+x)^5

To calculate with a coefficient of 1

f(0) = 1

f'(0) = -1

f''(0) = 2

f'''(0) = -6

f''''(0) = 24

Findinf Pn(x) for n = 0 to 4.

Po(x) = 1

P1(x) = 1 - x

P2(x) = 1 - x + x²

P3(x) = 1 - x+ x² - x³

P4(x) = 1 - x+ x² - x³+ x⁴

Hence, the nth Maclaurin polynomials is

1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n

= Σ(-1)^kx^k for k = 0 to n

6 0
2 years ago
Other questions:
  • a resorvoir can be filled by an inlet pipe in 24 hours and emptied by an outlet pipe 28 hours. the foreman starts to fill the re
    9·2 answers
  • The quality assurance department of a chair factory samples daily production to test for the strength of the chairs being produc
    13·2 answers
  • Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?
    5·2 answers
  • Choose the words or phrases that best complete the sentences. A fifth degree polynomial (must, could) have 5 linear factors. The
    12·2 answers
  • A coin flipped 80 times . It lands tails 47 times . What is the P(heads)
    9·1 answer
  • Which interval for the graphed function contains the local minimum?
    13·2 answers
  • A study group is to be selected from 5 freshmen, 7 sophomores, and 4 juniors. a) If a study group is to consist of 2 freshmen, 3
    10·1 answer
  • Well, Bruh Deer got away that time. He gone! And when he ready to cross that river again, he look around for Bruh Alligator firs
    8·2 answers
  • Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals _____
    7·1 answer
  • Evren used 24 centimeters of tape to wrap 3 presents. How many presents would Evren be able to wrap with 112 cm of tape?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!