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3 years ago

Help me please!!!i rlly need it!

Mathematics

2 answers:

OlgaM077 [116]3 years ago

5 0

Answer:

7.5

Step-by-step explanation:

How long does it take a car to travel 1 mile if its average speed is 40 mph? The answer is 1/40 of an hour or 1.5 minutes. multiply this by 5

juin [17]3 years ago

5 0

Answer:

0.1 hours to the nearest tenth (0.125 hours exact)

Step-by-step explanation:

For this problem, we simply need to do a conversion to find the length of time.

We are given the rate 40 miles per hour, and the distance of 5 miles. We simply need to know the amount of time.

5 miles * (1 hour per 40 miles) = 1 hour / 8

Note, the distance unit cancels out.

So, to travel 5 miles it will take 1/8 of an hour.

1/8 as a decimal is equal to 0.125. The answer rounded to the nearest tenth would be 0.1 hours, since the 2 rounds down.

Cheers.

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Which is bigger 3/8 or 0.3

Luba_88 [7]

$\frac{3}{8} \\
0.3=\frac{3}{10}$

If two fractions have the same numerator, the fraction with the smaller denominator is bigger.
$8\ \textless \ 10 \Rightarrow \frac{3}{8} \ \textgreater \ \frac{3}{10}$

3/8 is bigger.

3 0

3 years ago

Read 2 more answers

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.

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3 years ago

Long-grain rice costs $0.72/lb. How much would 2.7 lb of long-grain rice cost?

sweet-ann [11.9K]

If $.72 per 1lb, then $x per 2.7lb, by using proportional property:

.72/1 = x/2.7 cross multiply

x = (.72)*(2.7) = $1.94

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3 years ago

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Can someone double-check whether I am right or wrong?

Ludmilka [50]

You’re right, both of the pairs are similar

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