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3 years ago

Help pls

Mathematics

1 answer:

konstantin123 [22]3 years ago

4 0

Answer:

40 minutes

Step-by-step explanation:

We simply want to find the least common multiple (lcm) of the two times (5 and 8). Which is 40 minutes

For a more visual representation every 5 minutes Georgia will cross the starting line while it will take Susana 8 minutes to cross after starting at the same time.

So Georgia will cross at (5, 10, 15, 20, 25, 30, 35, 40) minutes

While Susana will cross at (8, 16, 24, 32, 40) minutes

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Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual

fenix001 [56]

P=4620/(0.07*11)
P==6,000

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3 years ago

Question Use the distributive property to multiply the polynomials. -5x2(6x - 1)

nignag [31]

Answer:

-60x + 10

Step-by-step explanation:

-5 x 2(6x - 1)

-10 (6x - 1)

-60x + 10

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3 years ago

Read 2 more answers

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x

lbvjy [14]

Answer:

Step-by-step explanation:

Since it is AP, the common difference is same for any term:

(4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
3x - 3 = 2x -1
3x - 2x = 3 - 1
x= 2

The first 3 terms are:

3, 6, 9

Since the last term is 18, it means this AP has 6 terms:

{3, 6, 9, 12, 15, 18}

Answer: as we need to find the value of x only, it is = 2

6 0

3 years ago

A rectangular storage container with a lid is to have a volume of 2 m3. The length of its base is twice the width. Material for

Scilla [17]

Answer:

Dimensions are 2 m by 1 meter by 1 meter,

Minimum cost is $ 18.

Step-by-step explanation:

Let w be the width ( in meters ) of the container,

Since, the length is twice of the width,

So, length of the container = 2w,

Now, if h be the height of the container,

Volume = length × width × height

2 = 2w × w × h

1 = w² × h

$\implies h=\frac{1}{w^2}$

Since, the area of the base = l × w = 2w × w = 2w²,

Area of the lid = l × w = 2w²,

While the area of the sides = 2hw + 2hl

= 2h( w + l)

$= 2\times \frac{1}{w^2}(w+2w)$

$=\frac{6w}{w^2}$

$=\frac{6}{w}$

Since, Material for the base costs $1 per m². Material for the sides and lid costs $2 per m²,

So, the total cost,

$C(w) = 1\times 2w^2+2\times 2w^2 + 2\times \frac{6}{w}$

$=2w^2+4w^2+\frac{12}{w}$

$=6w^2+\frac{12}{w}$

Differentiating with respect to w,

$C'(w) = 12w -\frac{12}{w^2}$

Again differentiating with respect to w,

$C''(w) = 12 + \frac{24}{w^3}$

For maxima or minima,

C'(w) = 0

$\implies 12w -\frac{12}{w^2}=0$

$\implies 12w^3 - 12=0$

$w^3-1=0\implies w = 1$

For w = 1, C''(w) = positive,

Hence, for width 1 m the cost is minimum,

Therefore, the minimum cost is C(1) = 6(1)²+12 = $ 18,

And, the dimension for which the cost is minimum is,

2 m by 1 meter by 1 meter.

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3 years ago

A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.

Alenkinab [10]

Answer:

8 becaus it dives. 2 meters second so if it dives to meters every second then all you have to do is add to to 4 seconds

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2 years ago