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2 years ago

Solve for X

Mathematics

1 answer:

Tomtit [17]2 years ago

4 0

Answer: x=68 °

Step-by-step explanation:

The sum of the angles h in the n-gon is calculated by the formula :

$\displaystyle \rm S=180(n-2)$

where n is the number of sides

Then the sum of all the corners of the pentagon is equal to

$\rm S=180(5-2)=540 \\\\$

$\displaystyle x+(x+60)+(x+80)+(x+40)+(x+20)=540 \\\\ 5x+200=540 \\\\ 5x=340 \\\\ \boxed{x=68^{\circ}}$

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50 POINTS! a shirt that normally costs $30 id on sale for $21.75. What percent of the regular price is the sale price

77julia77 [94]

Answer:

72.5%

Step-by-step explanation:

The fraction is $21.75/$30 = 0.725.

To make this a percentage, multiply by 100%:

... 0.725 × 100% = 72.5%

_____

We assume the question is correct as written: "of the regular price." The answer is the complement of this, 27.5%, if the wording is supposed to be "off the regular price."

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2 years ago

Michael and Imani go out to eat for lunch. If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the

blondinia [14]

Answer:

The bill total is $27.32

Step-by-step explanation:

how to figure out tax amount: 25.30 x .08 = $2.024

add tax to cost of meal : 25.30 + 2.024 = $27.32

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2 years ago

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Alja [10]

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$ . This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation: $xy = 96$ , which can be defined as $y=\frac{96}{x}$

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1 year ago

Solve for v 5v-13=67

borishaifa [10]

Answer:

Step-by-step explanation:

Add 13 both sides

That would give you 5v=80

Divide 80 by 5. So v would equal 16

8 0

2 years ago

THERE ARE 3 BAGS OF APPLES WEIGHING A TOTAL OF 22 1/2 POUNDS. TWO OF THE BAGS WEIGH 6 3/8 POUNDS AND 3 1/4 POUNDS. HOW MUCH DOES

Mkey [24]

I wasn't going to click on this one, but the all-caps enthralled me and hypnotized me.

first off, let's change all the mixed fractions to "improper" and proceed from there, keep in mind that if we subtract the two bags' weight from the total, what's leftover is the 3rd bag's weight.

$\bf \stackrel{mixed}{22\frac{1}{2}}\implies \cfrac{22\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{45}{2}}
\\\\\\
\stackrel{mixed}{6\frac{3}{8}}\implies \cfrac{6\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{51}{8}}
\\\\\\
\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}\\\\
-------------------------------\\\\$

$\bf \stackrel{\textit{sum of the two bags}}{\cfrac{51}{8}+\cfrac{13}{4}}\impliedby \textit{our LCD is 8}\implies \cfrac{(1)51+(2)13}{8}
\\\\\\
\cfrac{51+26}{8}\implies \cfrac{77}{8}\\\\
-------------------------------\\\\
\stackrel{total}{\cfrac{45}{2}}~-~\stackrel{two~bags}{\cfrac{77}{8}}\impliedby \textit{our LCD is again 8}\implies \cfrac{(4)45-(1)77}{8}
\\\\\\
\cfrac{180~~-~~77}{8}\implies \cfrac{103}{8}\implies \stackrel{third~bag}{12\frac{7}{8}}$

3 0

2 years ago