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marshall27 [118]
3 years ago
12

A bag contains yellow marbles and blue marbles, 37 in total. The number of yellow marbles is 7 more than 5 times the number of b

lue marbles. How many yellow marbles are there?
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

32

Step-by-step explanation:

let b represent the number of blue marbles then

yellow = 5b + 7 and

b + 5b + 7 = 37, that is

6b + 7 = 37 ( subtract 7 from both sides )

6b = 30 ( divide both sides by 6 )

b = 5

Thus there are 5 blue and 5(5) + 7 = 25 + 7 = 32 yellow marbles

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A new bank costumer with 2500 dollars wants to open a money market account. The bank is offering a simple interest rate of 1.5 p
padilas [110]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount deposited.

P represents the principal or amount deposited.

R represents interest rate

T represents the duration in years.

From the information given,

P = 2500

R = 1.5%

T = 30 years

I = (2500 × 1.5 × 30)/100 = $1125

the account balance be after 30 years is

1125 + 2500 = $3625

4 0
3 years ago
Read 2 more answers
Ricky is packing food for camping trip. He has 24 granola bars and 30 protein bars. Ricky wants to make identical bags. Each wil
dimaraw [331]

Answer:

6

Step-by-step explanation:

first, we need to find the GCF (Greatest Common Factor) which is the highest number that can go into every number in the equation (In this case, those numbers are 24 and 30)

The GCF for this would be 6, meaning that there would be 6 bags with and equal amount of granola bars and protein bars.
To be more specific, every bag would have 4 granola bars and 5 protein bars.

3 0
2 years ago
An equation is a statement that is true for every value in the domain.<br> O True<br> O False
MrRa [10]
The answer is true!

explaination: hope this helped
3 0
3 years ago
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4.
denis23 [38]
The answer is none. There are no solutions
6 0
3 years ago
What is the intermediate step in the form (x+a)^2=b(x+a)
Step2247 [10]

Answer:

The intermediate step are;

1) Separate the constants from the terms in x² and x

2) Divide the equation by the coefficient of x²

3) Add the constants that makes the expression in x² and x a perfect square and factorize the expression

Step-by-step explanation:

The function given in the question is 6·x² + 48·x + 207 = 15

The intermediate steps in the to express the given function in the form (x + a)² = b are found as follows;

6·x² + 48·x + 207 = 15

We get

1) Subtract 207 from both sides gives 6·x² + 48·x = 15 - 207 = -192

6·x² + 48·x = -192

2) Dividing by 6 x² + 8·x = -32

3) Add the constant that completes the square to both sides

x² + 8·x + 16 = -32 +16 = -16

x² + 8·x + 16 = -16

4) Factorize (x + 4)² = -16

5) Compare (x + 4)² = -16 which is in the form (x + a)² = b

7 0
3 years ago
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