Tarik is trying to save $265.49 to buy a new tablet. Right now, he has $40 and can save $38 a week from his allowance. Write and evaluate an expression to represent the amount of money saved after ; 2 weeks 3 weeks 4 weeks When will Tarik have enough money to buy the tablet? Write an inequality that will generalize the problem.
Answers
Answer:
- After 2 weeks, Tarik will have $116 saved.
- After 3 weeks, Tarik will have $154 saved.
- After 4 weeks, Tarik will have $192 saved.
- Tarik will have enough money to buy the tablet after 6 weeks.
- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.
Step-by-step explanation:
To represent the amount of money saved after a certain number of weeks, we can use the expression:
Amount of money saved = $40 + ($38 * number of weeks)
Let's evaluate this expression for 2 weeks, 3 weeks, and 4 weeks:
For 2 weeks:
Amount of money saved = $40 + ($38 * 2)
Amount of money saved = $40 + $76
Amount of money saved = $116
For 3 weeks:
Amount of money saved = $40 + ($38 * 3)
Amount of money saved = $40 + $114
Amount of money saved = $154
For 4 weeks:
Amount of money saved = $40 + ($38 * 4)
Amount of money saved = $40 + $152
Amount of money saved = $192
To determine when Tarik will have enough money to buy the tablet, we need to set up an inequality. Let's represent the cost of the tablet as C:
Amount of money saved >= Cost of the tablet (C)
In this case, the cost of the tablet is $265.49. Therefore, the inequality becomes:
$40 + ($38 * number of weeks) >= $265.49
To solve this inequality, we can subtract $40 from both sides:
$38 * number of weeks >= $265.49 - $40
$38 * number of weeks >= $225.49
Finally, we divide both sides of the inequality by $38 to solve for the number of weeks:
number of weeks >= $225.49 / $38
number of weeks >= 5.93 (approximately)
Since the number of weeks must be a whole number, Tarik will have enough money to buy the tablet after 6 weeks.
To summarize:
- After 2 weeks, Tarik will have $116 saved.
- After 3 weeks, Tarik will have $154 saved.
- After 4 weeks, Tarik will have $192 saved.
- Tarik will have enough money to buy the tablet after 6 weeks.
- The inequality representing the problem is $40 + ($38 * number of weeks) >= $265.49.
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Formula for a cylinder: π*R^2*H
So the first option goes to the first shape.
Example:
Radius=5
Length=10
π≈3.14
3.14*5²*10
=725 cm³ for the answer.
Formula for a square: l*w*h
So the 4th option goes with the 2nd shape.
Example: l=5 w=5 h=5
(Length * Width * Hieght)
5*5*5=125 for the answer.
Formula for a cone is: 1/3π*r^2*h
So the second option goes to the 3rd shape.
Example: r=3 h=11
π≈3.14
33 is your answer.
Formula for the pyramid would be: 1/3*b*h
So the 3rd option would go to the 4th shape.
Example:
b=2 h=10
Rounded: 6.6
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(Look at the attachment)
Here, you'll need just a bit of memorizing.
Orange figure : Cylinder
V=πr²h
Yellow figure: Square
length * width * height
V = l×w×h
Blue figure: Cone
V = 1/3πr²h
Red figure: Pyramid
V = 1/3 b * h
Pi = 3.14
h = height
b = base
r = radius (half of diameter)
v = volume
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Mark can make 30 cakes in 5 days.
How many cakes can mark make in 5 days?
Given that Mark can make 42 birthday cakes in 7 days.
In 5 days Mark can make,
If the ratio can be 42 : 7
42/ 7 = x/ 5
where, x can be the number of cakes,
x = 30
So, 30 cakes can be done in 7 days.
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42/7=x/5
you cross multiply to get 30 cakes
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Answers
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The slope of the second line is 3. The slope of (-3,4) and (-1,-2) is -3. And the line passes through -5, so the y-intercept of the second line is -5
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3x-32x+3x
-26x
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Answer:
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The volume of the sphere is
Step-by-step explanation:
we know that
The volume of the sphere is equal to
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assume
substitute