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Ad libitum [116K]
2 years ago
13

Nancy started the year with 400$ in the bank and is saving 10$ a week. Shane started with 700$ and is spending 20$ a week. When

will they both have the same amount of money in the bank?
Mathematics
1 answer:
umka21 [38]2 years ago
5 0

They will both have the same amount in the bank after 10 weeks

<h3>What are linear equations?</h3>

Linear equations are equations that have constant average rates of change, slope or gradient

<h3>How to determine the solution to the system?</h3>

A system of linear equations is a collection of at least two linear equations.

In this case, we have

<u>Nancy</u>

Initial = 400

Rate = 10

So, the equation is

y = 400 + 10x

<u>700</u>

Initial = 700

Spending = 20

So, the equation is

y = 700 - 20x

When they both have the same amount of money in the bank, we have

700 - 20x = 400 + 10x

Evaluate the like terms

30x = 300

Divide by 30

x = 10

Hence, they will both have the same amount in the bank after 10 weeks

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

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A sphere rolls up an inclined plane of inclination angle 30 degree. At the bottom of the incline the center of mass of the spher
Zigmanuir [339]

Answer: The sphere is 0.002548 cm travel up the plane.

Step-by-step explanation:

Since we have given that

Inclination angle = 30°

Translational speed = 0.25 m/s

As we know that

KE=0.5\times lw^2=PE

and

Length of solid sphere is given by

l=\dfrac{2Mr^2}{5}

So, it becomes,

KE=0.5\times \dfrac{2Mr^2}{5}w^2=Mgd\sin \theta

And 0.25\ m/sv=rw

So, it becomes,

1\times (0.25)^2=5\times d\times 9.81\times \sin 30^\circ\\\\0.0625=49.05d\times \dfrac{1}{2}\\\\\dfrac{0.125}{49.05}=d\\\\d=0.002548

Hence, the sphere is 0.002548 cm travel up the plane.

5 0
4 years ago
How can you convert 5 feet 6 inches to inches
9966 [12]
Hello!

1 foot = 12 inches

We need to convert 5 feet 6 inches to just inches. To do this, let's multiply how many inches there are in one foot by 5 feet.

12 × 5 = 60

That means that 5 feet are equal to 60 inches. We still have 6 inches left. Add them:

60 + 6 = 66

ANSWER:

5 fest 6 inches = 66 inches.
5 0
3 years ago
Read 2 more answers
Please hurry its timed
vampirchik [111]

Answer:

-1

Step-by-step explanation:

yep its that okb

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7 0
3 years ago
Each question in the test was worth an equal number of points. Chris answered 6 questions incorrectly. How many questions did th
Art [367]

Using mathematical operations and ratios, the number of questions that the other kids answered incorrectly was <u>1 each</u>.

<h3>What are the mathematical operations?</h3>

The mathematical operations include these four basic operations - addition, subtraction, multiplication, and division.

These mathematical operations and ratios, which set one value equal to another, are used to solve mathematical problems.

<h3>Data and Calculations:</h3>

The number of questions = 20

Marks awarded to each question = 3 points

Average incorrect answers by Chris = 6

Average performance = 50%

Above average performance = 90%

Incorrect answers by other students = 10% (1 - 90%)

<h3>Incorrect performance ratios:</h3>

Chris = 50%

Four students = 10%

= 5 : 1

Chris' ratio = 5/6

Four students = 1/6

The number of questions that the four other students answered incorrectly was <u>1 question</u> (6/50% x 10%) or (6 x 1/6).

Thus, the other kids answered <u>1 question</u> each incorrectly.

Learn more about mathematical operations and ratios at brainly.com/question/12024093

#SPJ1

<h3>Question Completion:</h3>

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. Five students took the test, but four of the five students perform above average (90%). Chris, an average student (50%), answered 6 questions incorrectly. How many questions did the other kids answer incorrectly?

4 0
2 years ago
A car travels 13 miles in 15 minutes. how fast is it going in miles per hour?
anastassius [24]

Answer:

52 mph

Step-by-step explanation:

1 hour is 60 minutes, 4 times the time period given in the problem. If the speed is constant, the car will travel 4 times the distance in 4 times the time.

... 4 · (13 miles) = 52 miles

The car will travel 52 miles in 1 hour, so its speed is 52 mi/h.

3 0
3 years ago
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