All categories

3 years ago

Nancy hopes to collect 100 oysters from the ocean. She has

Mathematics

1 answer:

Tanzania [10]3 years ago

4 0

Answer:

<h2>15 oysters have been collected</h2>

Step-by-step explanation:

15/100 x 100

100 on the right hand side being the oysters she must collect and the 15% being the percentage of oysters she has collected divided by 100 which is used when finding out the percentage of numbers

You might be interested in

the ricky family drove 224 miles for a trip to the beach. at lunch they drove 17 miles to the nearest restaurant and later that

goldfiish [28.3K]

Answer:

277 miles

Step-by-step explanation:

224+17+36=277

7 0

4 years ago

John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

Monica [59]

The system of inequalities is: $x\geq 3$ and $12x+7y\leq 63$

<em><u>Explanation</u></em>

Let $x$ be the amount of live bait and $y$ be the amount of natural bait.

As John would like to get at least 3 pounds of live bait, so the first inequality will be: $x\geq 3$

Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63

So, the cost for buying $x$ pound of live bait $=\$12x$ and the cost for buying $y$ pound of natural bait $=\$7y$

Thus, the second inequality will be: $12x+7y\leq 63$

5 0

3 years ago

A7-ft ladder is placed against a wall with its base 3 ft from the wall. How high above the ground is the top of the ladder? Roun

Firdavs [7]

Answer:

6.3 feet

Step-by-step explanation:

use pythagorean theorem

a² + b² = c²

a² + 3² = 7²

a² + 9 = 49

Subtract 9 from both side

a² = 40

Take the square root of both sides

a = 6.324555320336759

Rounded

a = 6.3

4 0

3 years ago

NEED HELP NOW!!!!!!!

Bad White [126]

Answer a = 5 and b = 2.

Procedure

Initially means x = 0, then

5 = a*b^0 = a*1 = a, then a = 5

When x = 1, the height is the double of 5, i.e 10 and

10 = a.b^1 = a.b ⇒ b = 10/a = 10/5 = 2

The a = 5 and b = 2, so the equation is y =5(2)^x

7 0

3 years ago

How do you do series with an n

SOVA2 [1]

The problem can be solved step by step, if we know certain basic rules of summation. Following rules assume summation limits are identical.
$\sum{a+b}=\sum{a}+\sum{b}$
$\sum{kx}=k\sum{x}$
$\sum_{r=1}^n{1}=n$
$\sum_{r=1}^n{r}=n(n+1)/2$

Armed with the above rules, we can split up the summation into simple terms:
$\sum_{r=1}^n{40r-21n+8}=n$
$=40\sum_{r=1}^n{r}-21n\sum_{r=1}^n{1}+8\sum_{r=1}^n{1}$
$=40\frac{n(n+1)}{2}-21n^2+8n$
$=20n(n+1)-21n^2+8n$
$=28n-n^2$

=> (a) f(x)=28n-n^2
=> f'(x)=28-2n
=> at f'(x)=0 => x=14
Since f''(x)=-2 <0 therefore f(14) is a maximum
(b) f(x) is a maximum when n=14

(c) the maximum value of f(x) is f(14)=196

4 0

3 years ago