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1 year ago

According to a nutrition coach, a 100 kg person should eat

Mathematics

1 answer:

alexira [117]1 year ago

4 0

Answer:

0.07%

Step-by-step explanation:

This equation is solving for what percentage of 100 kg is 0.07 kg.

1. Set up the equation

$\frac{0.07}{100}$ = $\frac{x}{100}$

0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.

2. Solve by cross multiplying

100x = 7

3. Solve for x by dividing both sides by 100

x = 0.07

The answer is 0.07%

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a circle with a 12-inch diameter is folding in half and then folded in half again what is the area of the resulting shape

andrew-mc [135]

Answer:

3π in^2

Step-by-step explanation:

Area of the circle before folding = π r^2

= 6^2 π

= 36 π is^2

The area of the resulting shape = 1/2 * 1/2 * 12π

= 3 π in^2.

7 0

1 year ago

The top of a ladder is 4m up a vertical wall.The bottom is 2m from the wall.The coordinate axes are the wall and the horizontal

mash [69]

Answer:

Part a) $y=-2x+4$

Part b) The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

Step-by-step explanation:

Part a) Find the equation representing the ladder

we have the ordered pairs

(0,4) and (2,0)

Find the slope

$m=(0-4)/(2-0)=-2$

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$m=-2\\b=4$

substitute

$y=-2x+4$

Part b) A square box just fits under the ladder.Find the coordinates of the point where the box touches the ladder.

If the box is a square

the x-coordinate of the point where the box touches the ladder must be equal to the y-coordinate

x=y

$y=-2x+4$

substitute

$x=-2x+4\\3x=4\\x=\frac{4}{3}$

$y=x=\frac{4}{3}$

therefore

The coordinates of the point are $(\frac{4}{3},\frac{4}{3})$

6 0

1 year ago

A preimage includes a line segment with a length of x units and a slope of m units. The preimage is dilated by a scale factor of

lapo4ka [179]

Nx is the first one and m is the second answer

8 0

1 year ago

Read 2 more answers

Find ST if S(-3,10) and T(-2,3)

Aleonysh [2.5K]

Answer:

ST = 7.07 units

Step-by-step explanation:

* Lets explain how to find the length of a segment

- The length of a segment whose endpoints are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ can be founded by the rule of the distance

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

* Lets solve the problem

∵ The line segment is ST

∵ S is (-3 , 10)

∵ T is (-2 , 3)

- Assume that S is $(x_{1},y_{1})$ and T is $(x_{2},y_{2})$

∴ $x_{1}=-3$ and $x_{2}=-2$

∴ $y_{1}=10$ and $y_{2}=3$

- By using the rule above

∴ $ST=\sqrt{(-2--3)^{2}+(3-10)^{2}}$

∴ $ST=\sqrt{(1)^{2}+(-7)^{2}}$

∴ $ST=\sqrt{1+49}$

∴ $ST=\sqrt{50}$

∴ ST = 7.07 units

6 0

1 year ago

Read 2 more answers

You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:

kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

$P_1=P_0+0.5P_0-0.2P_0=1.3P_0$

As this dynamic will continue with the years, we can generalize as:

$P_2=1.3P_1=1.3\cdot (1.3P_0)=1.3^2P_0\\\\P_n=1.3^nP_0$

Then, the value of the population at the end of the 7th year should be:

$P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275$

8 0

1 year ago