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atroni [7]
3 years ago
7

Laura has $720 and saves $30 a week. Taylor has $1200 and spends $30 a week. in how many weeks will Taylor and Laura have the sa

me amount of money? how much money will that be?
Mathematics
1 answer:
Setler79 [48]3 years ago
4 0
Let w = number of weeks.

In week w,
Laura has: 720 + 30w
Taylor has: 1200 - 30w

Set the two amounts equal and solve for w, the number of weeks.

720 + 30w = 1200 - 30w

60w = 480

w = 8

They will have the same amount of money in 8 weeks.

Laura will have in 8 weeks:
720 + 30w = 720 + 30 * 8 = 720 + 240 = 960

Taylor will have in 8 weeks:
1200 - 30w = 1200 - 30 * 8 = 1200 - 240 = 960

They will both have $960 in 8 weeks.
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PLEASEE HELP!! I WILL MARK BRAINLIEST!
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The expression in scientific notation is given as follows:

3.5 x 10³.

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

a \times 10^b

With the base being a \in [1, 10).

For this problem, the expression is given by:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}

When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:

10^2 \times 10^4 = 10^6

5 x 4.2 = 21, hence the expression is:

\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3

Which is the simplified expression.

More can be learned about scientific notation at brainly.com/question/16394306

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6 0
1 year ago
Find the area of the figure.
antiseptic1488 [7]

Answer:

area is 192

Step-by-step explanation:

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4 0
3 years ago
What is the factored form of m2 + - 27n2
Illusion [34]
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3 0
3 years ago
Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).
Anni [7]
<span>Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).

</span>y = 4x – 2 has slope = 4
<span>parallel lines have same slope so slope  = 4

</span><span>passes through the point (–1, 5).
</span><span>y = mx+b
5 = 4(-1) + b
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equation
y = 4x + 9

answer

The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is  4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9</span>
4 0
3 years ago
Read 2 more answers
What is the constant of variation for the quadratic variation? 0.1y = 3x2
svet-max [94.6K]

Answer:

The constant of variation for the given quadratic equation is, 30

Step-by-step explanation:

One of the form of a quadratic equation is written as:

y = kx^2     ....[1]

where k is the coefficient and for this case the constant of variation.

In order to obtain the answer for the given equation, we write the given equation to the form above.

0.1y=3x^2  or

y=(\frac{3}{0.1})x^2 or

y=30x^2

Comparing this equation with equation [1], to get the value of k;

k=30.

therefore, the  constant of variation is, 30.

6 0
3 years ago
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