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Cloud [144]
3 years ago
13

A mouse is traveling at a rate of 100 feet per hour. One half hour later, a snake smells the

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Let, snake catches the mouse in t hours. Till then mouse is travelling from

( t + 1.5 ) hours.

Distance, travelled by mouse in t hours is, d = 100(t+ 1.5) .

To catch the mouse snake had to travel the same distance d in  t hours.

So,

200t = 100(  t + 1.5 )\\\\2t = t + 1.5\\\\t = 1.5 \ hours

Therefore, snake will catch mouse in 1.5 hours.

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If the seed company recommends planting approximately 350 grass seeds per square meter, about how many grass seeds will he need?
Svetach [21]

Answer:

83422.5 grass seeds

Step-by-step explanation:

Applying,

A = 1/2bh....................... Equation 1

Where A = Area of the Triangle, b = base, h = height.

But, from the diagram,

tanФ = 20/b

b = 20/tanФ.................. Equation 2

Substitute equation 2 into equation 1

A = 1/2(20/tanФ)(h)................ Equation 3

Given: h = 20 m, Ф = 40°

Substitute these values into equation 3

A = 1/2(20×20)/tan40°

A = 200/tan40°

A = 238.35 m²

If the seed company recommends planting approximately 350 grass seeds per square meter,

Therefore,

Number of grass seed need = (350×238.35)

Number of grass seed needed = 83422.5 grass seeds

3 0
3 years ago
A cable company charges $70 per month for cable service. Please help ASAP Check screenshot pleasee (20 points) Thank youu! :)) &
LiRa [457]

Answer:

for #1: 70x = y

for #2: 70x + 100 = y

Step-by-step explanation:

you pay $70 for x amount of time with will equal your total therefore it's 70x = y

if you have to pay a one-time fee of $100.00 then you have to add that to your equation giving you 70x + 100 = y

hope this is right

hope it helps too :)

8 0
3 years ago
I don’t get it. Please help thanks
Likurg_2 [28]

Answer:

$2,410.69

Step-by-step explanation:

$1,950 x 1.15 = $2,242.50 after 15% markup

$2,242.50 x 1.075 = $2,410.68 after the 7.5% sales tax.


or you can do:


$1,950 x 0.15 = $292.5 markup

$1,950 + $292.5 = $2,242.50

$2,242.50 x 0.075 = $168.19 for sales tax

$2,242.50 + $168.19 = $2,410.69 total

5 0
3 years ago
A six sided number cube is rolled. What is the probability of getting three and then four, given that the first number rolled wa
LiRa [457]

Answer:

\frac{3}{6?}

7 0
2 years ago
An athletic field is a 48 yd​-by-96 yd ​rectangle, with a semicircle at each of the short sides. A running track 20 yd wide surr
MA_775_DIABLO [31]

The distance would be equal to 2 times the longest side of the rectangle plus twice the shortest side multiplied by pi / 2 for the semicircle, that is:

longest side 96 and shortest 48

D = 2 * (96) + 2 * (1/2) * pi * 48

D = 192 + pi * 48

This shorter side, which starts at 48, will expand each time by two more in proportion to 20 of the running track between 8 than the number of divisions, that is, 2 * (20/8) = 5

In other words, there are 8 distances, like this:

D1 = 192 + 3.14 * 48 = 342.72 yd

D2 = 192 + 3.14 * (48 + 5) = 358.42 yd

D3 = 192 + 3.14 * (48 + 10) = 374.12 yd

D4 = 192 + 3.14 * (48 + 15) = 389.82 yd

D5 = 192 + 3.14 * (48 + 20) = 405.52 yd

D6 = 192 + 3.14 * (48 + 25) = 421.22 yd

D7 = 192 + 3.14 * (48 + 30) = 436.92 yd

D8 = 192 + 3.14 * (48 + 35) = 452.62 yd

6 0
3 years ago
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