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3 years ago

Given the speeds of each runner below, determine who runs the fastest.

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

Answer:

Debbie runs 9 feet per second: 9 ft/s

Jessica runs 1 mile in 440 seconds: 414/50 ft/s = 207/25 ft/s = 8 7/25 ft/s

jesssica runs 131 feet in 10 seconds: since 1 mile = 5280 ft we have 1/470 mi/s = 5280/470 ft/s = 528/47 ft/s = 11 11/47 ft/s

ron runs 603 feet in 1 minute: 547 ft/min = 603/60 ft/s = 201/20 ft/s = 10 1/20 ft/s

Since:

11 11/47 > 10 1/20 > 9 > 8 7/25

Emily runs the fastest.

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Help please 10points

ikadub [295]

Answer:

Have you tried copying and pasting?

Step-by-step explanation:

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6 0

3 years ago

Whats the answer please hurry

rewona [7]

Give me points ahahahah thank you sir

8 0

3 years ago

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

3 years ago

35%Daisy is cooking pasta. The recipe says she needs 480 grams of pasta for 4 people. How many kilograms will she need for 14

pav-90 [236]

4 people = 480 grams of pasta

1 person = 480 ÷ 4 = 120 grams of pasta

14 people = 120 x 14 = 1680 grams of pasta

1680g = 1680 ÷ 1000 = 1.68 kg

Answer: 1.68 kg of pasta

4 0

3 years ago

Sudha earns ` 189 in a day and Radha earns ` 112 in a day. About how much will each of them earn in 30 days

Mariulka [41]

Answer:

the sudha and radha earns 5,670 and 3,360 respectively

Step-by-step explanation:

Since in the question it is mentioned that

Sudha earns 189 in a day

And, radha earns 112 in a day

so in 30 days, sudha earns

= 189 × 30 days

= 5,670

And, radha earns

= 112 × 30 days

= 3,360

Therefore the sudha and radha earns 5,670 and 3,360 respectively

8 0

3 years ago