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3 years ago

Which algebraic expression is equivalent to this expression?

Mathematics

2 answers:

Novay_Z [31]3 years ago

6 0

C. Is the correct answer.

Bogdan [553]3 years ago

3 0

Answer:

Step-by-step explanation:

multiply the terms inside the parenthesis by the 8 outside and collect like terms.

8(3x + 4) + 18

= (8 × 3x) + (8 × 4) + 18

= 24x + 32 + 18

= 24x + 50 → C

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What does X equal? geometry

Otrada [13]

Answer:

x= 77

Step-by-step explanation:

The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.

180-122= 58 degrees

Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.

Let's use this info to find the degree at the top.

58+58= 116

There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.

180-116= 64 degrees

And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.

90-64= 26 degrees

And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.

180-26= 154 degrees.

And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.

154/2= 77 degrees.

Your answer is 77 degrees.

3 0

3 years ago

Retama Park offers a Superfecta bet, in which you predict the exact order of the top four finishers. If there are 8 horses, find

Masteriza [31]

(a) Question: There are 8 horses in a race at Retama Park. You could win a BIG jackpot if you can pick the finishing order for ALL 8 of the horses. Find the number of possible orders in which the hors
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5 0

3 years ago

Adante begins to evaluate the expression 3 1/3 x 5 1/4 using the steps below

il63 [147K]

Answer:

$\frac{35}{2}$

Step-by-step explanation:

To solve this problem we need to write the mixed fraction as a fractional number, as follows:

$3 1/3 = 3 + \frac{1}{3} = \frac{9+1}{3} = \frac{10}{3}$

$5 1/4 = 5 + \frac{1}{4} = \frac{20+1}{4} = \frac{21}{4}$

Then, evaluating the expression:

$\frac{10}{3}$ × $\frac{21}{4}$ = $\frac{210}{12}$ = $\frac{35}{2}$

4 0

3 years ago

Javier and his friends go out to eat. The restaurant they chose automatically adds a 15% gratuity to their food bill since they

siniylev [52]

well, we know that 213.90 includes the 15% gratuity, so if the meal price was say "x", namely that is the 100%, and we add 15% to that, then 100% + 15% = 115%, so 213.90 is really the 115%.

now, if 213.90 is the 115.%, what is "x"? the 100%.

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 213.90&115\\ x&100 \end{array}\implies \cfrac{213.9}{x}=\cfrac{115}{100}\implies 21390=115x \\\\\\ \cfrac{21390}{115}=x\implies 186=x$

so since we know the meal without the tip is 186 bucks, the tip was then 213.90 - 186 = 27.90.

but they got extra potato wedges with butter and the waitress was wearing her best hat, they added $20 more, so the tip ended up as 27.90 + 20 = 47.90.

now, if the cost of the meal was $186 and that is the 100%, what is 47.90 off of it in percentage?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 186&100\\ 47.90&x \end{array}\implies \cfrac{186}{47.90}=\cfrac{100}{x}\implies 186x=4790 \\\\\\ x=\cfrac{4790}{186}\implies x\approx \stackrel{\%}{25.75}$

7 0

3 years ago

Read 2 more answers

Select all that apply. Which of the following are proportions? 25/10=5/2,3/4=8/10,2/8=3/12,3/4=15/20

8_murik_8 [283]

Answer:

$\frac{25}{10} = \frac{5}{2}$ is in proportion.

$\frac{3}{4} = \frac{8}{10}$ is not in proportion.

$\frac{2}{8} = \frac{3}{12}$ is in proportion.

$\frac{3}{4} = \frac{15}{20}$ is in proportion.

Step-by-step explanation:

The first example is $\frac{25}{10} = \frac{5}{2}$ and it is in proportion.

This is because, you will get the same simplest fraction ( $\frac{5}{2}$ ) from the fraction $\frac{25}{10}$ by dividing its numerator and denominator by 5.

The second example is $\frac{3}{4} = \frac{8}{10}$ and it is not in proportion.

This is because, you can not get the simplest fraction ( $\frac{3}{4}$ ) from the fraction $\frac{8}{10}$ after simplification.

The third example is $\frac{2}{8} = \frac{3}{12}$ and it is in proportion.

This is because, you will get the same simplest fraction ( $\frac{1}{4}$ ) from the fraction $\frac{2}{8}$ by dividing its numerator and denominator by 2 and from the fraction $\frac{3}{12}$ by dividing its numerator and denominator by 3.

The fourth example is $\frac{3}{4} = \frac{15}{20}$ and it is in proportion.

This is because, you will get the same simplest fraction ( $\frac{3}{4}$ ) from the fraction $\frac{15}{20}$ by dividing its numerator and denominator by 5. (Answer)

3 0

3 years ago

Read 2 more answers