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pickupchik [31]
3 years ago
10

Omar is planning to buy some new baseball shoes. He has already saved $22.50 The shoes cost at least $38 dollars. He writes an i

nequality to determine how much more he will need to save
Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

At least $15.50

Step-by-step explanation:

Omar is planning to buy some new baseball shoes. He has already saved $22.50

The shoes cost at least 38 dollars.

At least means, greater than or equal to which is represented by the sign

≥

The inequality is given as

22.50 + x ≥ 38

x ≥ 38 - 22.50

x ≥ 15.5

Therefore, he would need to save at least $15.50

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19810 rounded to the nearest hundred
Cloud [144]
19,810 rounded to the nearest hundred is 19,800.
8 is in the hundreds place, and the number 1 is in front of it.
 
Numbers 1-4 in front of the number make the number stay the same.

Numbers 5-9 in front of the number make the numbers round up one number.
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3 years ago
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. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum
Drupady [299]

Answer:

r=1.05\ \text{ft}

h=2.12\ \text{ft}

20.91\ \text{ft}^3

Step-by-step explanation:

r = Radius

h = Height

Volume of cylinder = 7.35\ \text{ft}^3

V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{7.35}{\pi r^2}

Surface area is given by

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi r^2+2\pi r\dfrac{7.35}{\pi r^2}\\\Rightarrow A=2\pi r^2+\dfrac{14.7}{r}

Differentiating with respect to radius we get

\dfrac{dA}{dr}=4\pi r-\dfrac{14.7}{r^2}

Equating with zero we get

0=4\pi r-\dfrac{14.7}{r^2}\\\Rightarrow 4\pi r=\dfrac{14.7}{r^2}\\\Rightarrow r^3=\dfrac{14.7}{4\pi}\\\Rightarrow r=(\dfrac{14.7}{4\pi})^{\dfrac{1}{3}}\\\Rightarrow r=1.05

\dfrac{d^2A}{dr^2}=4\pi-2\times \dfrac{14.7}{r^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=4\pi+2\times \dfrac{14.7}{1.05^3}\\\Rightarrow \dfrac{d^2A}{dr^2}=37.96>0

So, the value of the function is minimum at r=1.05

h=\dfrac{7.35}{\pi r^2}=\dfrac{7.35}{\pi 1.05^2}\\\Rightarrow h=2.12

So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.

Surface area

A=2\pi r^2+2\pi rh\\\Rightarrow A=2\pi \times 1.05^2+2\pi 1.05\times 2.12\\\Rightarrow A=20.91\ \text{ft}^3

The minimum surface area is 20.91\ \text{ft}^3.

8 0
3 years ago
A computer fan's speed rises as the computer heats up. Based on the table, what is MOST LIKELY the fan's speed at 7 minutes?
kumpel [21]

Answer:

2,800

Step-by-step explanation:

Because they are adding 700 each time.

7 0
2 years ago
an item that cost $50 is marked 20% off. Sales tax for the item is 8%. What is the final price including tax? Solve the problem
kramer

Answer:

  $43.20

Step-by-step explanation:

The price with tax is 100% + 8% = 1.08 times the price before tax. The discount multplies that price by 100% -20% = 0.80. The discount multiplier is the same whether the discount is applied before or after the tax.

The combined effect of the two multipliers is ...

... 1.08 × 0.80 = 0.864

so the discounted price with tax added is 0.864 × $50 = $43.20

_____

Perhaps you're supposed to figure the tax (8% of $50 = $4), add the tax ($50 +4 = $54), then subtract the discount (20% of $54 = $10.80) to get

  $54.00 -10.80 = $43.20

6 0
3 years ago
32 A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.
ss7ja [257]

Answer:

67

Step-by-step explanation

I did this in my math class yesterday

4 0
2 years ago
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