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Ivanshal [37]
3 years ago
9

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. They traveled 2/3 of the remaining distance on

Sunday. What fraction of the total distance to his grandmothers house was traveled on Sunday?
Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer: 1/5 of the total distance to his grandmothers house was traveled on Sunday

Step-by-step explanation:

The total distance to to his grandmothers house is assumed to be 1

Marks family traveled 7/10 of the distance to his grandmothers house on Saturday. The remaining distance would

1 - 7/10 = 3 /10

They traveled 2/3 of the remaining distance on Sunday. This means that the distance that they travelled on Sunday is

2/3 × 3/10 = 2/10 = 1/5

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A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t
forsale [732]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

6 0
3 years ago
Pls help me on this.......​
Ganezh [65]

Hey there!

<u><em>Your answer is </em></u>-4x+7

<u>Here are the steps to solve:</u>

<em>Given:</em>

<em />-5x-(x-7)

<em>Distribute negative sign:</em>

<em />-5x+x+7

<em>Add like terms:</em>

<em />-4x+7

Have a great day! Hope it helped!

7 0
3 years ago
What is the best estimate of 5 1/3 x 1 4/5 x 6 7/8 x 3 2/5 ? <br> 144 <br> 180 <br> 210 <br> 336
Strike441 [17]
For an estimate, the closest is 210
8 0
3 years ago
Mr.Baker is making a box using all of a 48-inch strip of oak. the box will be 14 inches wide. how long will the box be?
blsea [12.9K]

The length of the box made by Mr. Baker is 10-inch

Mr. Baker has strip of 48- inch long  oak, by this strip he is making the rectangle box of width 14-inch.

<h3>What is a rectangle?</h3>

The rectangle is 4 sided geometric shapes whose opposites are equal in lengths and all angles are about 90°.

As Mr. Baker has a strip that is 48-inch long and he made a rectangle box with it.

The width of the  box = 14 inches
now the length of the box = (total length of the strip - 2* width of the box)/2
⇒ length of the box = (48 - 2*14)/2
⇒ length of the box = 10 inches

Thus the Mr. Baker made the box which is 10 inches long.

learn more about rectangles here:
brainly.com/question/15019502

#SPJ1

7 0
2 years ago
A 5-pound box of raspberries costs $27.20. What is the price per ounce?<br> $
ASHA 777 [7]

Answer:

$0.34 per ounce

Step-by-step explanation:

A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.

5 × 16 is 80 ounces.

There are 80 ounces in 5lbs.

To get a price per ounces, divide.

dollars/ounces

= 27.20/80

= 0.34 dollars/oz.

This is 34cents per ounce.

6 0
2 years ago
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