It is recommended that
adults consume no more than
2,300 milligrams of sodium per
day. What is the recommended
daily maximum amount of sodium
in grams?

Answer:

10.8 / 6 = 1.8

Answer:

1.8

Step-by-step explanation:

10.8/6=10.8/6×10/10=108/6=1.8

Answer:

I'm pretty sure it's 13 sorry if I am wrong

Answer:

A=Bh

Step-by-step explanation:

use that formula for your calculation and it should help hopefully

Answer:

b is the correct answer ok

Answer:

7 boxes

Step-by-step explanation:

We'll begin by writing convert 5 ft to in. This can be obtained as follow:

1 ft = 12 in

Therefore,

5 ft = 5 ft × 12 in / 1 ft

5 ft = 60 in

Next, we shall convert 60 in to cm. This can be obtained as follow:

1 in = 2.54 cm

Therefore,

60 in = 60 in × 2.54 cm / 1 in

60 in = 152.4 cm

Finally, we shall determine the maximum number of boxes the ware house worker can stack.

Total height = 152.4 cm

Height of 1 box = 20 cm

Number of box =?

Number of box = total height / height of 1 box

Number of box = 152.4 / 20

Number of box = 7

Therefore, the warehouse worker can only stack a maximum of 7 boxes

Answer:

7

Step-by-step explanation:

got it right on the test

Answer:

[tex]y = \frac{1}{x - 5} [/tex]

Answer:

Area = 77.1

Step-by-step explanation:

The are of a right triangle is

[tex] \frac{1}{2} \times base \times height[/tex]

our base and height are 6 for both triangles, so we shall find the area of one of the triangles...

[tex] \frac{1}{2} \times 6 \times 6 = 18[/tex]

multiply this by 2

[tex]2 \times 18 = 36[/tex]

Now find the area of the whole circle

[tex]area = \pi {r}^{2} [/tex]

our radius is 6, therefore:

[tex]area = \pi {6}^{2} = 113.1[/tex]

Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer

[tex]113.1 - 36 = 77.1[/tex]

Answer:

Exact Area = 36pi - 36  square meters

Approximate Area = 77.04 square meters (when using pi = 3.14)

================================================

Explanation:

The circle has radius r = 6 meters. The area of the circle is...

A = pi*r^2

A = pi*6^2

A = 36pi

This is the exact area in terms of pi.

Because we have two right triangles, and each right triangle has the same leg length, we can effectively use the SAS theorem to prove the triangles are congruent. Therefore, both of the triangles shown have the same area. One triangle is a rotated copy of the other.

The area of one of the triangles is base*height/2 = 6*6/2 = 18 square meters. That means two of them combine to an area of 18*2 = 36 square meters.

Subtract this from the area of the circle to get the green shaded area

green area = (circle area) - (triangle areas)

green area = (36pi) - (36)

green area = 36pi - 36

This is the exact area in terms of pi. If you want the approximate area, then replace pi with its approximate value. Let's say we go for pi = 3.14

That means,

green area = 36pi - 36

green area = 36*3.14 - 36

green area = 77.04 square meters approximately

Use more decimal digits in pi to get a more accurate area value.

Answer: 1/25

Step-by-step explanation:

Number of balls = 10

Number of purple balls = 2

Since it's probability with replacement,

Probability of picking a purple ball the first time = 2/10 = 1/5

Probability of picking a purple ball the second time = 2/10 = 1/5

Therefore, the probability of picking a purple ball both times will be:

= 1/5 × 1/5

= 1/25

Answer:

b = 30°

Step-by-step explanation:

a + b + 90° = 180°

60° + 90° + b = 180°

150° + b = 180° ( subtract 150° from both sides )

b = 30°

Answer:

answer is -6=9

Step-by-step explanation:

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex] \sqrt{66 - 4 + 2} \\ = > \sqrt{62 + 2 } \\ = > \sqrt{64} \\ = > 8[/tex]

Answer:

[tex] \sqrt{66 - 4 + 2} [/tex]

[tex] \sqrt{64} [/tex]

[tex] \sqrt{8²} [/tex]=±8 is a required answer

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.

Answer:

He can make 5 pillows.

Step-by-step explanation:

1 pillow = 2/3 yards

? = 3 1/3 yards ( 10/3 yards)

10/3 ÷ 2/3

10/3 × 3/2= 5 pillows.

Answer:

504 km

Step-by-step explanation:

Answer:

[tex]x=\frac{3+-\sqrt{13}}{2}[/tex]

Step-by-step explanation:

Answer: Solution

−

2

+

2

−

2

x

+

x

2

−2x+2x​

Step-by-step explanation: Divide the numbers

2

−

1

⋅

2

2

⋅

−

3

+

2

4

⋅

2

x

Multiply the numbers

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

2

−

−

3

+

2

4

⋅

−

1

⋅

2

2

⋅

x

−

3

x

+

2

4

⋅

x

2x−1⋅22​⋅x−3x+42​⋅x

2

−

1

⋅

1

−

3

+

2

4

⋅

2

x

−

1

⋅

1

x

−

3

x

+

2

4

⋅

x

2x−1⋅1x−3x+42​⋅x

Divide the numbers

2

−

−

3

+

2

4

⋅

2

x

−

x

−

3

x

+

2

4

⋅

x

2x−x−3x+42​⋅x

2

−

−

3

+

1

2

2

x

−

x

−

3

x

+

1

2

x

2x−x−3x+21​x

Answer:

10

-1

1

2

Step-by-step explanation:

f(3) this one we use the second question (because the value that x is equal to is between 0 and 4)

3²+1=10

f(6) = -1 because this value is greater than 4

because the second equation has 0 inclusive we use this one for f(0)

0²+1=1

F(-3) for this one the answer is just two because x is less than 0

Answer:

Domain: {-3, -1, 0, 3}

Step-by-step explanation:

{(-3, 4), (-1,3), (0, 4), (3, 6)}

Domain is just the x values so:

Domain: {-3, -1, 0, 3}

Answer:

might be wrong but i think A

Step-by-step explanation:

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Answer:

9 x + 8 y = 10   (I)

y = -4x + 7        (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10        and now subtract the equations

23 x = 46     this gives x as 2

From equation (II)  y = -4 (2) + 7  = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10         9 * 2 - 8 = 10

(II)  4 x + y = 7       or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

Answer:

3.7

Step-by-step explanation:

Answer:

69

Step-by-step explanation:

167-152=15

This is the number of people that only brought pens

167-84=83

This is the number of people that only brought pencils.

167-15-83=69

This is the number of people that brought both pencils and pens.

Answer:

i think its the first one y<1/3x-1

Answer:

The second answer choice

Step-by-step explanation:

Answer:

y=1/4x-1

Step-by-step explanation:

So lets start off by going over what slope intecerp form is.

Slope intercept form looks like this:

y=mx+b

Lets go over the different values in this formula:

y is always going to just be what mx+b equals, and you can plug in values for x to solve for it.

m is always teh slope. The slope is y/x, basically just the change in y over the change in x.

x is going to be the number you plug in a value for to solve for y.When writing slope intercept form, this will always just be x.

Lastly we have b. This is what y equals when x is 0.

Lets use this to make our slope intercept.

So we have:

y=mx+b

y and x are not going to have a written value, so we only need to determine m and b.

So lets find b.

B will be the slope. When we look at the points on the graph, we see (-4, -2) and (0, -1)

The difference in y is -1.(-2--1=-1). The difference in the x is -4.(-4-0=-4).

So b will be: -1/-4, or just 1/4:

y=1/4x+b

Now lets find b.

Lets specificly lookat what y equals when x is 0 on the graph.

We can see the point is (0, -1)

So the y intercept is -1. This means b is equal to -1:

y=1/4x-1

This is your slope intercept!

Hope this helps! :D

Sorry for bad grammar, I am writting on a strange keyboard.

Answer:

18 *0.5*5=45

Step-by-step explanation:

Area of triangle is: 0.5 * base * height