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stiv31 [10]
2 years ago
15

A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that

forms the​ bead?
Thanks in advance!

Mathematics
1 answer:
zvonat [6]2 years ago
7 0

Answer:

216 cm³

Step-by-step explanation:

large prism volume = 6 x 6 x 8 = 288 cm³

small cutout volume = 3 x 3 x 8 = 72 cm³

288- 72 = 216 cm³

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John has 36 sweets and he shares them in the ratio 2 : 7.
Lana71 [14]

Answer:

15 more

Step-by-step explanation:

John has 36 sweets and he shares them in the ratio 2 : 7.

How many sweets is the larger share?

7 0
2 years ago
The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the he
Tamiku [17]

Answer:

5 feet

Step-by-step explanation:

The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation,

y=-0.4x^2+3x

where y is the height above water and x is the horizontal distance in feet.

If a beam of light is shone upward at an angle modeled by the equation

x+y=10

A beam of light hit the dolphin.

So, line must be intersect path of dolphin.

Using substation method,

Substitute y=10-x into dolphin equation.

10-x=-0.4x^2+3x

-0.4x^2+4x-10=0

x=\dfrac{-4\pm\sqrt{4^2-4(-10)(-0.4)}}{2(-0.4)}

x=5\text{ feet }

y=5\text{ feet }

Hence, The beam hit dolphin at 5 feet.

8 0
2 years ago
Tasha has eight more fish than Oscar, who has twice as many fish as Cecilia. If altogether they have 148 fish, how many fish do
Viefleur [7K]

Answer:

They each have 64

Step-by-step explanation:

let C = number of fish that Cecilia has --- then, O = 2C, where O = number of fish that Oscar has --- and T = O + 8 = 2C + 8, where T = number of fish that Tasha has --- then, C + O + T = C + 2C + (2C + 8) = 148 --- or, 5C + 8 = 148 --- or, 5C = 140 --- or, C = 140/5 = 28 --- and, O = 2C = 2(28) = 56 --- and, T = O + 8 = 56 + 8 = 64

7 0
2 years ago
A part-time landscaper made $8996.32 last year. if she claimed herself as an exemption for $3650 and had a $5700 standard deduct
Andrej [43]

Answer:

$0

Step-by-step explanation:

A part-time landscaper made $8996.32 last year.

She claimed herself as an exemption for $3650 and had a $5700 standard deduction

Exemption means not subject to taxation.

Deduction means taking some amount of your income for the year, and not have to pay taxes on it.

So, 8996.32-(3650+5700)

=-353.68

Since Her income is lower than the exemption and the standard deduction.

So, her taxable income last year was $0.

Thus Option D is correct.

7 0
2 years ago
Read 2 more answers
How does the range of g (x) = StartFraction 6 Over x EndFraction compare with the range of the parent function f (x) = StartFrac
Lerok [7]

Answer: Option: (B) The range of both f(x) and g(x) is all nonzero real numbers is correct.

Step-by-step explanation: ..................Because I said so............................

3 0
2 years ago
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