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Goshia [24]
3 years ago
9

Please help! Brainliest

Mathematics
1 answer:
Mama L [17]3 years ago
6 0

1.301

Explanation:

Given:

\log_a5 \approx 0.699 and \log_a2 \approx 0.301

Note that from the properties of logarithms,

\log_a20 = \log_a(5×4)

\:\:\:\:\:\:\:\:\:\:= \log_a(5×2^2)

\:\:\:\:\:\:\:\:\:\:=\log_a5 + \log_a(2)^2

\:\:\:\:\:\:\:\:\:\:=\log_a5 + 2\log_a2

\:\:\:\:\:\:\:\:\:\:\approx 0.699 + 2(0.301)

\:\:\:\:\:\:\:\:\:\:= 1.301

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Your parents allow you to borrow a car to get to your part-time job, but you have to pay for a tank of gas each month. Gasoline
alex41 [277]
The answer to this question is the letter "A" which is $20.70. The solution is shown below:

If the guy will solely use the car, his expenses for the gasoline per month is:
Guy alone = $ 2.76/gallon * 15 gallons = $ 41.4
 
If the guy will let his two officemates ride the car and contribute each quarter of the of a tank:
First officemate = 15/4 * $2.76 = $ 10.35
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The guy total savings is shown below:
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The answer is the letter "A".
5 0
3 years ago
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinate
DochEvi [55]

Answer:

The coordinates of point A' will be: A'(-2, 0)

Step-by-step explanation:

We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.

Translation does not change the size, orientation, or shape of the original object.

Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).

Now we have to translate the triangle 4 units up. So, use the formula

P(x, y) → P'(x, y + 3)

Thus, the coordinates of point A' will be:

A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)

Therefore, the coordinates of point A' will be: A'(-2, 0)

8 0
3 years ago
You have $60 and your sister has $120. you are saving $7 per week and your sister is saving $5 per week. how long will it take b
hodyreva [135]
Well if you have 60 and she has 120 i will set it out as a sequence week by week
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120,125,130,135,140,145,150,155,160,165,170,175,180,185,190,195,200,205,210,215,220,225,230,235,240, 245,250,255,260,265,270
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4 0
3 years ago
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What equivalent of 4:25
Lady_Fox [76]

Answer: 16 percent

Step-by-step explanation:

7 0
4 years ago
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Solve the 3 × 3 system shown below. Enter the values of x, y, and z. X + 2y – z = –3 (1) 2x – y + z = 5 (2) x – y + z = 4 (3)
Svet_ta [14]
<h2>Answer:</h2>

\boxed{x=1, \y=-1, \ z=2}

<h2>Step-by-step explanation:</h2>

We will use the Gaussian elimination method to solve this problem. To do so, let's follow the following steps:

Step 1: Let's multiply first equation by −2. Next, add the result to the second equation. So:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\~~ x&-~~~~~ y&+~~~~ z&~=~4\end{array}

Step 2: Let's multiply first equation by −1. Next, add the result to the third equation. Thus:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&-~~~3~ y&+~~2~ z&~=~7\end{array}

Step 3: Let's multiply second equation by −35, Next, add the result to the third equation. Therefore:

\begin{array}{ cccc }~~ x&+~~2~ y&-~~~~~ z&~=~-3\\&-~~~5~ y&+~~3~ z&~=~11\\&&+~~\frac{ 1 }{ 5 }~ z&~=~\frac{ 2 }{ 5 }\end{array}

Step 4: solve for z, then for y, then for x:

\frac{ 1 }{ 5 } ~ z & = \frac{ 2 }{ 5 } \\ \\ \boxed{z & = 2}

-5y+3z &= 11\\-5y+3\cdot 2 &= 11\\ \\ \boxed{y &= -1}

By substituting y=-1 \ and \ z=2 into the first equation, we get the x. So:

x+2(-1)-2=-3 \\ \\ x-2-2=-3 \\ \\ \boxed{x=1}

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4 years ago
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