The average 12 ounce cola contains 14 mg of sodium. If Tanner plans to limit his sodium from soda to 100 mg each week,
what is the largest number of ounces of soda he can drink? Round to the nearest tenth of an ounce.
Provide your answer below:
Counces

The length of the ladder is [tex]x = \sqrt{100} =10 feet[/tex].

To find out the length of the ladder leaning against the building given the following conditions; bottom of the ladder is 6 feet from the building, and the top of the ladder reaches the wall at a height of 8 feet, the Pythagorean theorem can be utilized.

Therefore the length of the ladder is approximately 10 feet.

The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

This can be expressed as:

[tex]c^2=a^2+b^2[/tex]

where c is the hypotenuse (the longest side of the triangle)

a and b are the other two sides

Given, the distance from the bottom of the ladder to the wall is 6 feet and the height from the ground to the top of the ladder is 8 feet.

Let the length of the ladder be x

According to the Pythagorean theorem:

[tex]x^2 = 6^2 + 8^2 x^2[/tex]

[tex]x^2 = 36 + 64x^2[/tex]

[tex]x^2 = 100[/tex]

Therefore the length of the ladder is [tex]x = \sqrt{100}= 10 feet[/tex].

For such more questions on length

https://brainly.com/question/30582409

#SPJ8

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

Answer:

52

Step-by-step explanation:

8+5=13

13x8=104

104/2=52 (divided)

Answer:

52

Step-by-step explanation:

I took the test

Answer:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.  

First, you should find the slope of the line.  To do this, use the equation M=y2-y1/x2-x1.  Using the two given points (3,6) and (8,4), you can solve for M.  

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept.  You can do this by subbing one of the given points in for x and y.  

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

Step-by-step explanation:

Answer:

Width of the rectangle = 7 meters

Length of the rectangle = 12 meters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Perimeter of the rectangle = 38 meters

Width of the rectangle = w

Length of the rectangle = w + 5

Perimeter of a rectangle = 2(length + width)

38 = 2{(w + 5) + w}

38 = 2(w + 5 + w)

38 = 2(2w + 5)

38 = 4w + 10

38 - 10 = 4w

28 = 4w

w = 28/4

w = 7 meters

Width of the rectangle = w

= 7 meters

Length of the rectangle = w + 5

= 7 + 5

= 12 meters

Step-by-step explanation:

Sn=n/2{2a+(n-1)d}

=10(4+95)

=10(99)

=990

Answer:

2/5 is bigger

5/15 and 6/15 (comparison)

Answer:

1/3>2/5

Step-by-step explanation:

Step-by-step explanation:

15910

hope it helps

thanks a lot

Answer: 1,356

Step-by-step explanation:

It is 1200 increased by 13%

Answer:

A maximum of 306

Step-by-step explanation:

You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306

Answer:

Im not rally sure but maybe 5.71 , here is my explanation :

Step-by-step explanation:

Tan 55 =x/4

tan 55 = 1/42814

1/42814 = x /4

×=5.712592027 .

Can you show a picture of the table?

Answer:

theres no pic but im am 100% sure its 720

Step-by-step explanation

multiply  60 x 12 = 720 if  im wrong its not my fault there is no pic

Answer:

(2x-3)^2

i hope its correct...

Step-by-step explanation:

Answer:

2x-3

Step-by-step explanation:

Hey there!

The mean would probably best represent the data.

This is because the mean of data is the average, which would show what the average temperature throughout the week was.

Have a super awesome day! :)

Answer:

C

Step-by-step explanation:

Use a graph to figure this out it will be as easy as eating a cake then

Hope this helps

Answer:

Sorry I don’t know

Step-by-step explanation:

a3=25

a8=-10

first, a3=25 will be 25= a + (3-1)×d that is the formula of the Arithimetic function genrally→ an=a (which is the first term..that we wanted in this case) + n-1 (n is the order of wanted term..we already has the term which is 3) × d (the common ration).

So, 25=a+(3-1)×d

25=a+2d

25-2d=a   rearrange

a= 25-2d

We will take this equation and subsitute it in the other equation which is -10=a+ (8-1)×d

so it will be -10=25-2d+(8-1)×d

-10= 25-2d+7d   sum the d

-10= 25+5d

-10-25= 5d

-35=5d

-35/5=d

-7= d

Now that we have the d we can go back to the equation of a= 25-2d and know the value of a

a= 25-2×-7

a1=39

d=-7

Answer:

-26 -2x

Step-by-step explanation:

-8+6(-x-3)+4x​

Distribute

-8 -6x -18 +4x

Combine like terms

-8-18  -6x+4x

-26 -2x

Answer:

x- intercept(s): (−13,0)

Step-by-step explanation:

Answer:

a) Yes

Step-by-step explanation:

Because, 3+7=10

Answer: yes

Explanation: In this problem, to determine whether c = 3

is a solution to the equation, we substitute 3 in for c.

So we have (3) + 7 = 10.

Simplifying the left side of the equation, (3) + 7 is 10.

So we have 10 = 10 which is a true statement so our answer is yes.

Answer:

c

Step-by-step explanation:

Answer:

274

Step-by-step explanation:

Hey There!

So if you didnt know the median is the middle number ( in value) of the set

So first we would like to arrange the numbers in order from least to greatest

187 , 199 , 211 , 250 , 298 , 331 , 347 , 362

Then we take the middle number(s)

if there is just one then that is the answer but if there is two than we add them together and divide that by 2

In this case there are two which would be 250 and 298

So we add them together

250+298=548

Then we just divide that by 2

[tex]\frac{548}{2} =274[/tex]

Therefore the median is 274

hope this helps :)

Step-by-step explanation:

l hope this answer is helpful to you

Answer:

[tex]VYX=84.3in[/tex]

Step-by-step explanation:

Given

[tex]YV = 28in[/tex]

[tex]\angle WZX = 15^\circ[/tex]

See attachment

Required

Determine the length of [tex]VYX[/tex]

First, calculate the major angle VZX

[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]

[tex]\theta = \angle VZX = 360 - 15[/tex]

[tex]\theta = \angle VZX = 345[/tex]

[tex]\theta = 345[/tex]

The length of arc VYX, is:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

Where

[tex]r = \frac{1}{2} * Diameter[/tex]

[tex]r = \frac{1}{2} * YV[/tex]

[tex]r = \frac{1}{2} * 28[/tex]

[tex]r = 14[/tex]

So:

[tex]L=\frac{\theta}{360} * 2\pi r[/tex]

[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]

[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]

[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]

[tex]L=\frac{30360}{360}[/tex]

[tex]L=84.3in[/tex]

Hence, the length of VYX is:

[tex]VYX=84.3in[/tex]

Answer:

30 to 40 minutes

Step-by-step explanation:

A standard showerhead uses 2.5 gallons a minute, or 25 gallons for 10 minutes. Either way, the shower saves water – as long as you don't go past 10 minutes. The shorter the shower, the greater the savings

Answer:

5

Step-by-step explanation:

5x -6 = 2x +9

5x -2x = 9 +6

3x  = 15

x = 5

Answer:

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Step-by-step explanation:

Se dan las siguientes funciones

[tex]R(x) = -5x^2 + x - 2[/tex]

[tex]S(x) = -x^2 - 3x[/tex]

Cuál es el resultado de R(x) + S(x) ?​

Se soman los fatores en comun. Entonces:

[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]

El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]

Answer:

it is 15,000

Step-by-step explanation:

15,000 because there is 1,000 milliliters in one liters and 15 liters = 15,000 milliliters