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4 years ago

9) Gabriel took three math tests last semester. He scored a 91 on the first test, a

Mathematics

1 answer:

Firlakuza [10]4 years ago

3 0

The average of anything can be calculated by adding up all the terms and dividing by the number of terms.

In this case,

the number of terms = 3

x = the missing test score.

(91 + 72 + x) / 3 = 80

Let's multiply both sides by 3

91 + 72 + x = 240

Combine like terms.

163 + x = 240

Subtract 163 from both sides

x = 77

Carlos scored a 77 on his third test.

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

Solve for 2x2- 7x + 16 = 20 and find the sum of the solutions

beks73 [17]

I actually got zero for this when I did this in phothomath

8 0

3 years ago

Using the same coin, flip it a new twenty times and record your results. What is the experimental probability of flipping a head

babunello [35]

Answer:

50%

Step-by-step explanation:

No matter how many times you flip a coin, there is always a 50% probability that you will flip heads because there are only two outcomes.

3 0

3 years ago

WILL GIVE BRAINLIEST!!

NNADVOKAT [17]

The second one should be correct

8 0

3 years ago

Which is the sum of the first 6 terms of the geometric series?<br> 7+21 +63

Gwar [14]

Answer:

2,548

Step-by-step explanation:

First, we have to find out the rule. The rule is multiply the previous number by 3 to get the next number.

7x3=21

21x3=63

So, we would continue this pattern until we have the first 6 numbers which are 189, 567, and 1701.

The questions is asking for the SUM of the 6 numbers so you would add the those numbers and do this equation:

7+21+63+189+567+1701= 2548

Hope this helps! :)

5 0

3 years ago