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3 years ago

The lions won 16 games last year. This year they won 20 games what is the percent increase

Mathematics

1 answer:

AnnZ [28]3 years ago

6 0

The percent increase is 25%.

Step-by-step explanation:

Given,

Games won last year = Old value = 16

Games won this year = New value = 20

Difference = New value - Old value

Difference = 20-16 = +4

The positive sign indicates increase.

Percent increase = $\frac{Difference}{Old\ value}*100$

Percent increase = $\frac{4}{16}*100$

Percent increase= $\frac{400}{16}$

Percent increase = 25%

The percent increase is 25%.

Keywords: percentage, division

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The total stopping distance T for a vehicle is T = 2.5x + 0.5x 2 , where T is in feet and x is the speed in miles per hour. Appr

Kobotan [32]

Answer:

% change in stopping distance = 7.34 %

Step-by-step explanation:

The stooping distance is given by

$T = 2.5 x + 0.5 x^{2}$

We will approximate this distance using the relation

$f (x + dx) = f (x)+ f' (x)dx$

dx = 26 - 25 = 1

T' = 2.5 + x

Therefore

$f(x)+f'(x)dx = 2.5x+ 0.5x^{2} + 2.5 +x$

This is the stopping distance at x = 25

Put x = 25 in above equation

2.5 × (25) + 0.5× $25^{2}$ + 2.5 + 25 = 402.5 ft

Stopping distance at x = 25

T(25) = 2.5 × (25) + 0.5 × $25^{2}$

T(25) = 375 ft

Therefore approximate change in stopping distance = 402.5 - 375 = 27.5 ft

% change in stopping distance = $\frac{27.5}{375}$ × 100

% change in stopping distance = 7.34 %

6 0

3 years ago

Estimate each quotient 6047 divided by 18

uranmaximum [27]

6047/18 will equal 335.94

4 0

3 years ago

Working with your cousin, you can finish a table in 4 hours. working alone, your cousin can finish the job in 5 hours. how long

Allushta [10]

I think the answer is A but i could be wrong

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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

alexandra is dividing 3/4 of a yard of fabric into3/8 yard pieces of fabric.How many pieces of this size will she have?

bija089 [108]

Answer:

2 pieces

Step-by-step explanation:

3/4 ÷ 3/8

3/4 x 8/3 = 12/6 = 2

5 0

3 years ago

Read 2 more answers