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mamaluj [8]
2 years ago
14

a mother otter is fed 7 fish for every 2 fish for its cub a) if a cub has eaten 14 fish , how many fish did the mother eat ? ple

ase show working out kindly
Mathematics
1 answer:
jek_recluse [69]2 years ago
5 0

Answer:

The mom ate 49 fish.

Step-by-step explanation:

This question can be solved by a rule of three.

a mother otter is fed 7 fish for every 2 fish for its cub

if  a cub has eaten 14 fish , how many fish did the mother eat ?

For each 2 fish cub eats, the mon eats 7. How much has the mom eaten if the cub has eaten 14?

So

2 - 7

14 - x

2x = 14*7

Simplifying by 2

x = 7*7

x = 49

The mom ate 49 fish.

You might be interested in
A certain company manufactures skateboards and rollerskates. It takes them 2 units of labor and 1 unit of materials to produce a
Alisiya [41]

Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.

Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;

2s + r = 30 ------(1)

Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;

s + 2r = 40 ------(2)

With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;

In equation (1), let r = 30 - 2s

Substitute for r into equation (2)

s + 2(30 - 2s) = 40

s + 60 - 4s = 40

Collect like terms,

s - 4s = 40 - 60

-3s = -20

Divide both sides of the equation by -3

s = 6.67

(Rounded up to the nearest whole number, s = 7)

Substitute for the value of s into equation (1)

2s + r = 30

2(7) + r = 30

14 + r = 30

Subtract 14 from both sides of the equation

r = 16

Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.

6 0
3 years ago
A.) 170<br> B.) 300<br> C.)280<br> D.)155<br> Please help me
pav-90 [236]

Answer:

Step-by-step explanation:

The formula for this is

∠G = 1/2(arcEH - arcHF)

We have angle G (5x - 10) and we have arcEH (195) so we have to solve for x to find the measure of arcEHF so we can add arcEH + arcHF = arcEHF

Filling in the formula with what we have:

5x-10=\frac{1}{2}(195-(8x+17))

which simplifies down a bit to

5x-10=\frac{1}{2}(195-8x-17) which simplifies down a bit more to

5x-10=\frac{1}{2}(178-8x) Multiply both sides by 2 to get rid of the fraction and get:

2(5x - 10) = 178 - 8x which of course simplifies to

10x - 20 = 178 - 8x. Now add 8x to both sides and at the same time add 20 to both sides to get:

18x = 198 so

x = 11. Now we can find the measure of arcHF:

arcHF is 8x + 17, so arcHF is 8(11) + 17 which is 105°.

arcEH + arcHF = arcEHF so

195 + 105 = arcEHF so

arcEHF = 300°

6 0
3 years ago
The perimeter of a regular hexagon is ninety-six centimetres. Find the length of each side.​
rusak2 [61]

Answer:

54cm, which is one side length

Step-by-step explanation:

The sum of all of the sides are 6, it's a regular hexagon the perimemter is just six times one side 36cm

Hope It Helps!

8 0
3 years ago
A gallon jug of milk is 3/4 full. After breakfast the jug is 1/12 full. Find the difference of the amounts before breakfast and
Ostrovityanka [42]
8/12 because 3/4 is equal to 9/12 and there was 1/12 left so 8/12
8 0
3 years ago
Read 2 more answers
Help on this math stuff
liq [111]

Plan A would be better


6 0
3 years ago
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