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Westkost [7]
3 years ago
10

2.) Benson is keeping track ofthe amount ofsalt he consumes each day. According to the label on his macaroni and cheese box, one

serving contains 470 mg of sodium (salt). If 470 mg is 20% ofthe recommended daily amount, how many milligrams of sodium are recommended for the whole day? Explain or show your calculations.
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer: 2350 milligrams of sodium are recommended for the whole day.

Step-by-step explanation:

Let x= Quantity of sodium are recommended for the whole day.

As per given, we have

20% of x = 470 milligrams

⇒ 0.20x = 470 milligrams  [20%=0.20]

\Rightarrow\ x=\dfrac{470}{0.20}  [Divide both sides by 0.20]

\Rightarrow\ x= 2350

Hence, 2350 milligrams of sodium are recommended for the whole day.

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6.25 marked up 25%?
Sergio [31]

Answer:

7.8125

Step-by-step explanation:

6.25 x 1.25

4 0
4 years ago
A company has two types of machines, type R and type S. Operating at a constant rate, a machine of type R does a certain job in
SashulF [63]

Answer:

The number of machines to complete job in 2 hours is 6.

Step-by-step explanation:

Using the relation of the rate of each one machine and knowing that adding up both rates.

  1. Rate R +Rate S= Rate total

Rate R = \frac{x}{36}  'x' is the job

Rate S = \frac{x}{18}  'x' is the job

So, using the equation of rates

        Rate total =\frac{x}{36} + \frac{x}{18}

Rate total is going to be a job in 2 hours so = \frac{1}{2}

\frac{1}{2} = \frac{x}{36}+\frac{x}{18} <em>adding up</em>

\frac{1}{2}= x*\frac{3}{36}  <em>factoring the x</em>

\frac{1}{2}= x*\frac{1}{12}  <em>simplifying</em>

x= \frac{12}{2} \\

x= 6

3 0
3 years ago
Answer please and explain
mash [69]
So, the formula for this one is:

C = 2πr
(use 3 for pi again)

so substitute the numbers:

C = 2 x 3 x 2

and the answer is 12
6 0
3 years ago
Make a flow chart showing that the triangles below are similar. NO LINKS OR CRAZY LANGUAGES.!!!!!!​
pantera1 [17]

Answer: See the attached image

You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically \triangle EFG \sim \triangle ECB. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.

The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.

8 0
3 years ago
PLEASE HELP! Solve each of the following by using the general quadratic formula.
Archy [21]

Using the quadratic formula, the solutions are:

a) x = \frac{3 \pm \sqrt{41}}{4}

b) x = 1 \pm 2i

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

x_1 = \frac{-b + \sqrt{\Delta}}{2a}

x_2 = \frac{-b - \sqrt{\Delta}}{2a}

In which:

\Delta = b^2 - 4ac

Item a:

The coefficients are a = 2, b = -3, c = -4, hence:

  • \Delta = (-3)^2 - 4(2)(-4) = 41
  • x_1 = \frac{3 + \sqrt{41}}{4}
  • x_2 = \frac{3 - \sqrt{41}}{4}

Item b:

The coefficients are a = 1, b = 2, c = 2, hence:

  • \Delta = (2)^2 - 4(1)(2) = -4
  • x_1 = \frac{2 + \sqrt{-4}}{2} = 1 + 2i
  • x_2 = \frac{2 - \sqrt{-4}}{2} = 1 - 2i

More can be learned about quadratic equations at brainly.com/question/24737967

#SPJ1

6 0
2 years ago
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