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barxatty [35]
3 years ago
8

Uma wants to buy a video game system for $400. She has $50 and is saving $25 each week. Solve the equation 25w + 50 = 400 to fin

d how many weeks w it will take Uma to save enough to buy the system.
Mathematics
2 answers:
Sonja [21]3 years ago
8 0
Move all terms that don't contain <span>ww</span> to the right side and solve.<span>
w=<span>14

Hope this helps,

kwrob

</span></span>
Agata [3.3K]3 years ago
5 0
First take away fifty from both sides
25w = 350
Divide 25 from both sides
Answer is: w = 14


So, it will take Uma 14 weeks to save enough money to but the video game system.




Hope that helps!!!

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30 POINTS NEED HELP
KatRina [158]

a. The expression y=5x represent the number of small marbles she has.

b. The expression z=3x+2 represents the number of large marbles she has.

c. Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Step-by-step explanation:

a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.

Medium marbles = x

Let,

Small marbles = y

According to given statement;

She has five times as many small marbles as medium marbles.

y = 5x        Eqn 1

The expression y=5x represent the number of small marbles she has.

b. Write an algebraic expression to represent the number of large marbles she has.

Let,

Large marbles = z

The number of large marbles is two more than three times the number of medium marbles.

z = 3x+2        Eqn 2

The expression z=3x+2 represents the number of large marbles she has.

c. If Amy has a total of 560 marbles, how many of each size does she have?

x+y+z= 560     Eqn 3

Putting value of y and z from Eqn 1 and 2 in Eqn 3

x+(5x)+(3x+2)=560\\x+5x+3x+2=560\\9x=560-2\\9x=558

Dividing both sides by 9

\frac{9x}{9}=\frac{558}{9}\\x=62

Putting x=62 in Eqn 1

y=5(62)\\y=310

Putting x=62 in Eqn 2

z=3(62)+2\\z=186+2\\z=188

Amy has 310 small marbles, 62 medium marbles and  188 large marbles.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/11416224
  • brainly.com/question/11638377

#LearnwithBrainly

5 0
3 years ago
Find the 10th term of geometric sequence 3,15,75,375
Bess [88]

Answer:


Step-by-step explanation:

In a geometric sequence, the next term is a constant times the previous term. This constant is determined by dividing the second term by the first, here giving 5. The remaining terms are checked to see that each is 5 times the previous. 75 is 15×5, 375 is 75×5.


Alternately, the nth term is first term times k^(n-1).

Here, that's 3×5^(10-1), 3×5^9=5859375

7 0
3 years ago
Is the distance between -7 and -13 on a number line 6?
sattari [20]

Answer:

yes

Step-by-step explanation:

13-7=6 so that's the difference

4 0
3 years ago
he yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club
WINSTONCH [101]

Answer:

32 people

Step-by-step explanation:

If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.

4 0
3 years ago
Help me on this one for 10 points
nekit [7.7K]

Answer:

m ACG = 17

x = 24

Step-by-step explanation:

1)\ m\ ACG = x - 7 = 90 - 73 = 17

2)\ x - 7 = 17 => x = 17 + 7 = 24

6 0
2 years ago
Read 2 more answers
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