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astraxan [27]
3 years ago
6

Tina is saving to buy a notebook computer. She has two options. The first option is to put200$ away initally and save 10$every m

onth. Thge second option is to put 100$ away and save 30$ every month. After how many months would Tina save the same amount using either option? How much would she save at the time?
Mathematics
1 answer:
Archy [21]3 years ago
5 0

about 6 months as the number will meet


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chris buys p pairs of pants and 4 more shirts than pairs of pants. Shirts cost $18 each and pair of pants cost $25 each. What do
jasenka [17]

p is the number of pants

25 is $25 for the pants

18 is $18 for the pants

4 represents that you bought 4 more shirts than pants

plz rate as brainliest answer

6 0
3 years ago
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

3 0
3 years ago
The coordinate plane below represents a city. Points A through F are schools in the city.
astra-53 [7]
Part A:
<span>a system of inequalities that only contain points D and E in the overlapping shaded regions is
5y + 2x > 12
2y - x < 12

Part B:
To verify that points D and E are solutions to the system of inequalities, we plug in the coordinate points of points D and E into the system of ineaqualities.

Part C:
</span>To <span>identify the schools that Timothy is allowed to attend we plug in the coordinate values of the points to see which satisfies the inequality y < 3x - 3. Thus Timothy is allowed to attend schools C and F.</span>
7 0
3 years ago
Given that f(x) = ax – 5 and f(4) = 15, determine the value of a.
agasfer [191]

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

The given function is:

f(x)  =  ax  -  5

If f(4)  =  15, then x = 4

Substitute x = 4 into f(x) = ax - 5

f(4)  =  a(4)  -  5

15   =  4a   -  5

Solve for a by adding 5 to both sides

15  +  5  =  4a  -  5  +  5

20    =  4a

Divide both sides by 4

4a/4   =  20/4

a    =  5

Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5

Learn more on linear functions here: brainly.com/question/15602982

8 0
2 years ago
Read the word problem below. Jill had $90. She bought a skirt that normally costs $42 but was on sale for half price. She also b
Likurg_2 [28]

Answer:

What was the regular price of the T-shirt?

  • $18

What question is being asked in this word problem?

  • what is the regular cost of the t-shirt purchased by Jill.

What is the regular price of the skirt?

  • $42

How much money does Jill have left?

  • without considering sales tax, Jill has $90 - $31 = $59 left.
  • If I use the sales tax from where I live, the sales tax = $1.86, so the money that Jill will have left = $59 - $1.86 = $57.14

How much does the T-shirt normally cost?

  • $18 (same as question 1)

What is the amount Jill pays in sales tax?

  • since you do not include the sales tax % in the question, I will simply use the sales tax from where I live = $31 x 6% = $1.86

Step-by-step explanation:

skirt $21

t-shirt = p - $8

before sales tax, total cost was $31

$21 + p - $8 = $31

p = $18

7 0
4 years ago
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