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marta [7]
3 years ago
6

Two people bought gas. Each gallon of gas cost the same amount. The money that they spent, in dollars, is represented by the exp

ression shown 24+51 Creat an equivalent expression, using a common factor to show the cost of each gallon of gas and the number of gallons each person bought
Mathematics
2 answers:
marusya05 [52]3 years ago
5 0

Answer:

45

Step-by-step explanation:

e-lub [12.9K]3 years ago
3 0

Answer:

Cost =$3

Amount = 8 gallons and 17 gallons

Step-by-step explanation:

Given

24 + 51

Required

Simplify to show the cost and amount of gas bought by each individual

24 + 51

[Factorize]

3(8 + 17)

The above can't be factored any further.

Since the cost of gas for both individuals is the same, we can conclude the following.

Cost = $3

This is so because it applies to both numbers in brackets

Amount of Gas = 8 gallons and 17 gallons respectively by both individuals

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Please solve and explain. Photo attached
ss7ja [257]

$\frac{(x+1)(x-3)}{x^{2}}

Solution:

Given expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

To solve this expression:

$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}

Apply the fraction rule: $\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}

      $=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}

Let us solve \frac{36}{x^{2}}+\frac{36}{x}.

Least common multiple of x^{2}, x is x^{2}.

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}

              $=\frac{36+36 x}{x^{2}}

Now, multiply by (x - 3).

$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}

$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}

Apply the fraction rule: \frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}

                            $=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}

                            $=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}

Cancel the common factor 36.

                            $=\frac{(x+1)(x-3)}{x^{2}}

Hence the solution is \frac{(x+1)(x-3)}{x^{2}}.

7 0
4 years ago
This list shows the ingredients needed to make 12 flapjacks.
AURORKA [14]
Both 12 and 18 can be divided by 6. Therefore, convert 12 flapjacks into 6 flapjacks so you can use this for the final answer. Divide all the ingredients by 2= 250/2, 120/2, 120/2, 2/2 which will give you the ingredients for 6 flapjacks. After you have found the ingredients for 6 flapjacks, multiply each by 3 because 6x3=18. You should have your answer.
4 0
3 years ago
Log 10,000 = ?<br><br><br>This is such a stupid question, sorry lol
Lyrx [107]

Answer:

Log 10,000 = 4

hope it helps!

6 0
3 years ago
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Evaluate (2 - 5i)(p + q)i when p = 2 and q = 5i<br>a. 29i<br>b. 291-20<br>C.-21i<br>d.29​
attashe74 [19]

Answer:

A. 29i

Step-by-step explanation:

Step 1: Plug in given variables

(2 - 5i)(2 + 5i)i

Step 2: Difference of squares (expand)

(4 - 25i²)i

Step 3: Imaginary numbers rules

(4 - 25(-1))i

Step 4: Combine like terms

(4 + 25)i

(29)i

Your final answer will be 29i

8 0
3 years ago
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adoni [48]

Answer:

♡Henlo friend~♡

2 bags of cat food is $5.50, multiply that by three and get six bags for $16.50♡

Therefore, the answer is $16.50.

Have a great day! ʕ •ᴥ•ʔ

~ Clara

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Step-by-step explanation:

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3 years ago
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