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2 years ago

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The distance on a map between the entrance of the park in waterfall inside the park is 4 1/2 inches if 3 inches is 2 1/2 miles w

hat is the actual distance from from the entrance of the park to the waterfall

1 answer:

aleksandrvk [35]2 years ago

5 0

5 3/4 divided by 4 1/2 23/4 divided by 9/2 23/4 times 2/9 46/36 = 1 and 10/36 (reduced) = 1 and 5/18 inches

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Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many

Nataly_w [17]

Do you have a picture of the table?

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2 years ago

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Margie is packing 108 small boxes into a large carton. the small boxes will fill all of the space inside the large carton. Each

just olya [345]

2 inches wide
that means that the height of the large carton is 2 inches

find the volume of the carton
V=108 times volume of small box
V=108 times 1 times 2 time s3
V=648 in^2

height is 2
V=LWH
648=LW2 (note, this is not LW^2 but 2 times LW)
divie both sides by 2
324=LW
legnth of base is less than 36
div
we just need to find the values of legnth and width such that LW=324 and L<36 and that L or W is divisible by 3 (since each box is 3 inches long)

so lets factor 324
324=2*2*3*3*3*3
group them and find possible values for legnth and width less than 36 and divsible by 3
possible values

(L,W,H) possible values are
(27,12,2)
(18,18,2)

the possible dimentions are
27 by 12 by 2 or
18 by 18 by 2

4 0

2 years ago

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils left over. How many pencils were i

swat32

Answer:

12 pencils in each package.

Step-by-step explanation:

Given:

Ethan bought 4 packages of pencils.

No of Packages = 4

No of pencils given to friend = 8 pencils

No of pencils left over =40 pencils

∴Total Number of Pencils = No of pencils given to friend + No of pencils left over = $40+8 =48$

Total Number of pencils in each package = $\frac{\textrm{Total Number of Pencils}}{\textrm{No Of Packages}}= \frac{48}{4}= 12 \ pencils$

8 0

2 years ago

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Sav [38]

Answer:

10.12 $m^{3}$

Step-by-step explanation:

Given:

0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

V = $\frac{2}{3}$ π $r^{3}$

Take the derivative of V we have:

$\frac{dV}{dr}$ = 2π $r^{2}$

<=> dV = 2π $r^{2}$ *dr

<=> dV = 2π* $48^{2}$ *0.0007 = 10.12 $m^{3}$

Hope it will find you well.

6 0

2 years ago

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Write the first five terms of the geometric sequence in which a1=64 and the common ratio is 5/4

natita [175]

Remember that finding terms in a geometric sequence is done by multiplying the previous term by a common ratio $r$ . For example, we can say:

$a_2 = a_1 r$

$a_3 = a_2 r = (a_1 r)r = a_1 r^2$

We have $a_1 = 64$ . To find $a_2$ , let's multiply this term by $\frac{5}{4}$ :

$a_2 = 64 \cdot \frac{5}{4} = 80$

Now, let's use this to find all of our other terms:

$a_3 = 80 \cdot \frac{5}{4} = 100$

$a_4 = 100 \cdot \frac{5}{4} = 125$

$a_5 = 125 \cdot \frac{5}{4} = \frac{625}{4}$

Thus, our terms are 64, 80, 100, 125, and (625/4).

8 0

2 years ago