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3 years ago

Jack's bowling score is 20 less than 3 times Jill's

Mathematics

1 answer:

babymother [125]3 years ago

3 0

Jill's score is 80. Jack's score is 140.

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What’s 6% as a fraction

guapka [62]

Answer: 6/100

Step-by-step explanation:

a percent is out of 100%, to write 6% as a fraction simply but 6/100

5 0

3 years ago

An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th

Irina-Kira [14]

Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is $\sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }$

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by $8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h$

Area of the four side faces of the aquarium is 4 times the length of the base times the height = $4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}$

Total area to be covered by grass is the base and the four side faces and is given by $\frac{20}{h}+\sqrt{320h}$

Cost of the entire metal frame = $7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h$

Cost of the entire grass = $8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h$

Therefore, total cost in terms of the height, h, is given by

$C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h$

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4 years ago

natalya wants to make a party mix of a trail mix and candies. the candy she uses costs $2 per pound with trail mix costing 1.50

sweet-ann [11.9K]

How many pounds do you need total??

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3 years ago

Match each line, ray, or segment with the term that best describes it.

Evgen [1.6K]

Answer:

Step-by-step explanation:

From the given diagram,

i. ACBD - circle

ii. AB = secant

ii. CD = diameter

iii. EC, EB, ED, GF and GH - radii

iv. D, C, H and F - points of tangency

v. ACB - segment

vi. CBD - semicircle

vii. CBE, BDE and FHG - sectors

vii. E and G - centers of the given circles

viii. BH and DF - tangents

ix. DAB and HF - major segments

x. EDF, EBH, GHB - right angles

xi. DA, AC, CB, BD and FH - minor arcs

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3 years ago

Go step by step to reduce the radical. 288

prohojiy [21]

Step-by-step explanation:

hope this helps if not well im rlly srry lol

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4 years ago