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Andrei [34K]
3 years ago
10

Can anyone help out with this?

Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

9514 1404 393

Answer:

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

Step-by-step explanation:

Each figure consists of two small squares and a square that has a side length of 1 more than the figure number. That is, ...

  f(x) = (x +1)^2 +2

You can count the squares in figures 1-3. Figure 4 will be 2 more squares than 5^2 = 25, so will be 27 squares.

  (x, f(x)) = (1, 6), (2, 11), (3, 18), (4, 27)

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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
3 years ago
Find the volume of the composite solid.
OLEGan [10]

Here's the solution,

the volume of the given figure is :

=》

volume \:  \: of \:  \: (pyramid \:  + rectangular \:  \: prism)

volume of pyramid :

=》

\dfrac{l \times b \times h}{3}

=》

\dfrac{4 \times 5 \times 6}{3}

=》

\dfrac{120}{3}

=》

40

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

l \times b \times h

=》

4 \times 5 \times 2

=》

40

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

4 0
2 years ago
Poor c cups never had a chance to have a d cup its ok others feel your pain
Aleksandr [31]
Hmm yes but yes than yes but yea but then the but yk the but like the and the the
5 0
3 years ago
Read 2 more answers
There are 30 books on the library shelf, Sam noted that 1/6 of them are non fiction. Dan notes that 3/5 of the books are fiction
ehidna [41]

Answer:

7

Step-by-step explanation:

Fiction books:  (1/6) of 30 books = 5 books

Non-fiction books:  (3/5) of (30) books = 18 books

The subtotal here is 5 + 18, or 23.  

23 of the books are either fiction or non fiction.

30 - 23, or 7, of the books remain (are neither fiction nor non-fiction).

3 0
3 years ago
24=12 18=9 14=7 8=4 6=?
BartSMP [9]
Each pair of numbers gives a value then another value that is 1/2 of the first. So the answer would be

6 = 3
5 0
3 years ago
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