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viktelen [127]
3 years ago
11

A group of 15 explorers to the south pole had just enough food to last them for 40 days how long would the food last if all of a

sudden three explorers disappeared mysteriously
Mathematics
1 answer:
Trava [24]3 years ago
5 0

Answer:

3 days

Step-by-step explanation:

15-3=12

40/12= 3.3

round to 3

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Lourdes plans to jog at least 1.5 miles. Write an inequality and solve an inequality to find x, the number of hours Lourdes will
Paraphin [41]

Answer:

1.5 ≤ 3.75x

Step-by-step explanation:

Given that:

Distance, D to jog is atleast 1.5 miles

D ≥ 1.5 miles

x = number of hours to jog

Jog rate = 3.75 mph

Actual distance covered if jog last for X hours

Actual Distance = speed * time

Actual Distance = 3.75 * x = 3.75x

Hence,

D ≤ Actual distance

1.5 ≤ 3.75x

4 0
3 years ago
Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb
Umnica [9.8K]

Answer:

It would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.  

Since  

z =  ax^2  + by^2

For this case, the gradient of your function would be

\nabla z  = (2ax , 2by)

And  -1  times the gradient of your function would be

-\nabla z  = (-2ax , -2by)\\

Then, at

 (1,1,a+b),\\x = 1 \\y = 1

So it would go towards

v = (-2a,-2b)

The magnitud of that vector is

|v| =  2\sqrt{a^2+b^2}

and to conclude it would roll in this direction.

\nu  =  (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})

6 0
3 years ago
Jonny has $50 in a savings account. Each week, he deposits $13 in the account. Jonny's brother has $90 in a saving account. Each
valina [46]

Answer:

140 + 96 m

Step-by-step explanation:

There are 4 weeks in 1 month.

Therefore:

Jonny has $50 in a savings account. Each week, he deposits $13 in the account.

$50 + $13 × 4m

The algebraic expression is given as:

50 + 52m

Jonny's brother has $90 in a saving account.

Each week, he deposits $11 in the account.

The algebraic expression is given as:

$90 + $11 × 4m

90 + 44m

An algebraic expression to describe how much money Jonny and his brother will have in their accounts after m months is written as:

Amount Jonny has + Amount his brother has

50 + 52m + 90 + 44m

= 50 + 90 + 52m + 44m

= 140 + 96 m

7 0
3 years ago
What's the answer to this question
Cerrena [4.2K]
10.1 x 8 - 6 = 80.8 - 6 = 74.8
u just had to substitute the variables
3 0
3 years ago
Missy’s rotation maps point k (17,-12)to k (12,17) which describes the rotation?
Dennis_Churaev [7]

Answer:

This would be a 90 degree rotation in a counter clockwise fashion.

Step-by-step explanation:

You can tell this because in a 90 degree shift, the values switch terms. Also, one of the terms will change the sign.

4 0
3 years ago
Read 2 more answers
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