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kogti [31]
4 years ago
13

the nutrition facts label from a 12 oz can of soft drink is shown below. Note that a serving of the soft drink is defined as 8 o

z, so this can contains 1.5 servings of the drink. The nutritional information relates to the amounts per serving, not the amounts in the can.

Mathematics
1 answer:
Nataliya [291]4 years ago
4 0

The correct answer is C. 65

Explanation:

The serving size of the soft drink is 8oz, besides this, the amount of sugar for this serving size according to the label is 26 grames. Now, to calculate the amount of sugar in 20oz, one of the simplest methods is to use a rule of three, because three values are known, and one is missing. The process is shown below:

1. Write the known values and use x to represent the unknown values

8 oz  =  26 grames of sugar      

20 oz  =  x

2. Use cross multiplication (this means multiply 8 x 6) and divide it into the remaining value

x = \frac{26 x 20}{ 8}   or  x = 26 x 20 / 8

3. Solve the equation

x =\frac{520}{8}      or x = 520 / 8

x = 65

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Calculate the slope of the line that contains the points: (2, -3) and (6, -3)
Brilliant_brown [7]

Answer:

\displaystyle m = 0

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, -3)

Point (6, -3)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{-3- -3}{6- 2}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{0}{4}
  3. [Fraction] Divide:                                                                                              \displaystyle m = 0
6 0
3 years ago
Find an equation for the line below. Thanks !
daser333 [38]

Answer:

\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by \frac{\Delta y}{\Delta x} (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is 4 - 2 = 2, and the change in x is 3 - (-5) = 3+5= 8. Therefore, our slope is \frac{2}{8} = \frac{1}{4}.

Now that we know our slope, our equation in slope-intercept form looks something like this.

y = \frac{1}{4}x + b

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

  • 4 = \frac{1}{4} \cdot 3+b
  • 4 = \frac{3}{4} + b
  • b = \frac{16}{4}- \frac{3}{4}
  • b = \frac{13}{4}

So now we know that the y-intercept is \frac{13}{4}. Plugging that into our equation finishes it off, leaving our final equation to be y = \frac{1}{4}x + \frac{13}{4}.

Hope this helped!

4 0
3 years ago
Read 2 more answers
Roberta has $10,540 to invest. She plans to invest her money in certificates of deposit (CDs) that have 2.1% interest, a stock p
ira [324]

Answer:

The amount invested in CDs is  $1,340

The amount invested in the stock portafolio is $6,900

The amount invested in the saving accounts is $2,300

Step-by-step explanation:

Let

x ---->the amount invested in CDs at 2.1%

y ---> the amount invested in the stock portfolio at 2.5%

z ---> the amount invested in the savings account at 1.5%

x+y+z=10,540 ----> equation A

z=\frac{1}{3}y ----> equation B

substitute equation B in equation A

x+y+\frac{1}{3}y=10,540

x+\frac{4}{3}y=10,540

x=10,540-\frac{4}{3}y ----> equation C

we know that

The total interest earned by the three amount must be equal to $231.69

so

0.021x+0.025y+0.015z=231.69 ----> equation D

substitute equation B and equation C in equation D

0.021(10,540-\frac{4}{3}y)+0.025y+0.015(\frac{1}{3}y)=231.69

solve for y

221.34-0.0315y+0.025y+0.005y=231.69

0.0015y=231.69-221.34

0.0015y=10.35

y=\$6,900

<em>Find the value of x</em>

x=10,540-\frac{4}{3}(6,900)

x=\$1,340

<em>Find the value of z</em>

z=\frac{1}{3}(6,900)

z=\$2,300

7 0
4 years ago
*PLS HELP*<br>I need help on this and please provide an explanation<br>​
expeople1 [14]

Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em></h2>

Step-by-step explanation:

<h3><em><u>To</u></em><em><u> </u></em><em><u>Find</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • Value of x

<h3><em><u>Given</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • 46° and (5x - 1)° are complementary angles

<h3><em><u>Solution</u></em><em><u>:</u></em><em><u>-</u></em></h3>

As we know,

Complementary angles:

The angles whose sum results to 90° are known as the <em><u>complementary</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em><em><u> </u></em>

So,

46° + (5x - 1)° = 90°

  • <em>[</em><em>Since</em><em> </em><em>complementary</em><em> </em><em>angles</em><em>]</em>

=> 46 + 5x - 1 = 90

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 45 + 5x = 90

  • <em>[</em><em>On</em><em> </em><em>subtracting</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>45</em><em>]</em>

=> 45 + 5x - 45 = 90 - 45

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 5x = 45

  • <em>[</em><em>On</em><em> </em><em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>5</em><em>]</em>

=  >  \frac{5x}{5}  =  \frac{45}{5}

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> x = 9

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

7 0
3 years ago
Read 2 more answers
5+30 = x+10<br><br> what is thiss
mrs_skeptik [129]

Answer:

the answer is x=25 hope this helps

4 0
3 years ago
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