Martha wants to go to band camp this summer that costs $103.50 she has $10 and plans to save $5.50 each week. How many weeks will it take her to save the money? In algebra pls

Answers

Answer 1

Answer:

19 weeks

Step-by-step explanation:

You'll be looking for an equation the form of

y=mx+b

Given:

b = $103.50

m = $5.50

x = ? (where x is in weeks)

Next, set y = 0

--> mx+b = 0

Rearrange

x = (-b/m)

Plug in b and m:

x = (-(-103.5)/5.5) = 18.818

Rounding up, it will Martha 19 weeks to save enough money.


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Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.

Answers

Answer:

s=40w+350; s=$1,070

Step-by-step explanation:

Our equation looks like this:

s=40w+350

Next we plug in 18 for w, our number of weeks.

s=40(18)+350

Multiply the 40 and 18.

s=720+350

Add the 350 and 720.

s=1,070

Add a dollar sign to say that the amount is in dollars.

s=$1,070

HTH :)

The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.

Total amount of money in the savings account after 18 weeks is

What is an Equation?

An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.

There are left hand side and right hand side for every equation and may or may not include variables.

S is the total amount of money in the savings account of Yoko.

W is the number of weeks Yoko has been adding money.

Initial money = 350

After 1 week total money = 350 + (1 × 40)

After 2 weeks, total money = 350 + (2 × 40)

It goes on like this until the last week.

So after W weeks total money = 350 + (W × 40)

Total amount of money in the savings account after W weeks, S = 350 + 40W.

After 18 weeks, S = 350 = (40 × 18) = $1070

Hence the equation relating W and S is, S = 350 + 40W.

Total amount of money after 18 weeks = $1070

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4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175

Answers

The factored form of the expression would be; (7x + 2√5) (7x - 2√5)

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression form 49x² + 20

Therefore, 49 is a perfect square,

This expression could also be given as;

(7x)²- (2√5)²

Now, we know that:

a²- b² = (a + b) (a - b)

Now plug the values then we have:

(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)

Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)

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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

The expression is given below.

⇒ 49x² + 20

The expression can be written as,

⇒ 49x² - 20i²

Simplify the expression, then we have

⇒ 49x² - 20i²

⇒ (7x)² - (2i√5)²

⇒ (7x - 2i√5)(7x + 2i√5)

The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.

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Answers

Answer:

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Answers

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I give Brainliest!
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Answers

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Answers

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Step-by-step explanation:

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8x - 5x = -18 + 4

3x = -14

x = -14/3

I'm not sure if this is what you were asking for but, ya..

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