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const2013 [10]
3 years ago
11

20POINTS! HELP ME PLZZ I NEED HELP WITH THIS IT IS DUE TOMORROW !!

Mathematics
1 answer:
ANTONII [103]3 years ago
8 0

Step-by-step explanation:

The denominators are 2, 3, and 4.  The least common denominator is the least common multiple (LCM) of these numbers.

To find the LCM, first write the prime factorizations.

2 = 2¹

3 = 3¹

4 = 2²

The LCM is therefore 2² × 3 = 12.

Rewrite the fractions with a denominator of 12.

⁷/₄ + ¹/₂ + ⁵/₃ + ¹/₃ + ¹/₄ + ¹/₂

= ²¹/₁₂ + ⁶/₁₂ + ²⁰/₁₂ + ⁴/₁₂ + ³/₁₂ + ⁶/₁₂

Now that the denominators are the same, we can simply add the numerators.

= ⁽²¹⁺⁶⁺²⁰⁺⁴⁺³⁺⁶⁾/₁₂

= ⁶⁰/₁₂

= 5

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3 years ago
4x - 3 < 17. Solve for x.
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3 years ago
What is the equation of the line passing through the points (2/5, 19/20) and (1/3, 11/12) in slope-intercept form?
antiseptic1488 [7]

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4 0
3 years ago
In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?
Shkiper50 [21]

1 pound of bread contains \frac{2}{3} cups of cinnamon.

<h3><u>Solution:</u></h3>

Given that , In \frac{3}{4} pound of a banana bread, there is \frac{1}{2} cup of cinnamon

<em><u>To find:</u></em>

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

\frac{3}{4} pound of banana bread ⇒ \frac{1}{2} cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}

Hence, 1 pound of bread contains \frac{2}{3} cups of cinnamon.

3 0
4 years ago
Need help with this, simple but I don't understand/remember how to do it.
Lorico [155]

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

<h3>How to analyze a geometrical system formed by two proportional right triangles</h3>

Herein we find a picture of a geometrical system formed by two proportional right triangles with two variables: {x, y} These variables can be found by using the definition of proportionality and the Pythagorean theorem:

5 / 8 = 12 / (12 + x) = 13 / y

Then, we proceed to solve the system formed by two equations:

(12 + x) / 12 = 8 / 5

12 + x = 96 / 5

x = 96 / 5 - 12

x = 36 / 5

y / 13 = 8 / 5

y = 104 / 5

By using definition of proportionality and Pythagorean theorem, the values of x and y associated with the geometrical system formed by two right triangles are 36 / 5 and 104 / 5, respectively.

To learn more on right triangles: brainly.com/question/6322314

#SPJ1

7 0
2 years ago
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