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2 years ago

Solve the system using the linear combination method: x + 5y= -3 2x + 7y=3

Mathematics

1 answer:

valina [46]2 years ago

7 0

Answer:

3x+12y=0

Step-by-step explanation:

x+2x=3x

5y+7y=12y

-3+3=0

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3 years ago

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3 years ago

An oil tank has to be drained for maintenance. The tank is shaped like a cylinder that is

Dmitry_Shevchenko [17]

Fidn volume
V=hpir^2
d/2=r
1.4/2=0.7=r
height=3.5
V=3.5*3.14*0.7^2
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3 years ago

A textbook store sold a combined total of 260 chemistry and physics textbooks in a week. The number of chemistry books sold was

Lynna [10]

Let:

x = Chemistry textbooks sold

y = Physics textbooks sold

The textbook store sold a combined total of 260, so:

$x+y=260$

The number of chemistry books sold was three times the number of physics textbooks sold, so:

$x=3y$

Let:

$\begin{gathered} x+y=260_{\text{ }}(1) \\ x=3y_{\text{ }}(2) \end{gathered}$

Replace (2) into (1):

$\begin{gathered} 3y+y=260 \\ 4y=260 \\ y=\frac{260}{4} \\ y=65 \end{gathered}$

Replace the value of y into (2):

$\begin{gathered} x=3(65) \\ x=195 \end{gathered}$

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1 year ago

A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 6 green marbles. What is the probabi

alexgriva [62]

Answer: a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

Step-by-step explanation:

Since we have given that

Number of red marbles = 3

Number of yellow marbles = 4

Number of green marbles = 6

Total number of marbles = 3 +4 +6 = 13

a) the marble is red?

Probability of getting a red marble = $\dfrac{3}{13}$

b) the marble is not yellow?

Probability of not getting yellow = $\dfrac{3+6}{13}=\dfrac{9}{13}$

c) the marble is either red or green?

Probability of getting either red or green = P(red) + P(green) = $\dfrac{3}{13}+\dfrac{6}{13}=\dfrac{9}{13}$

d) the marble is neither red nor green?

Probability of getting neither red nor green = P(getting yellow) = $\dfrac{4}{13}$

Hence, a) $\dfrac{3}{13},\ b)\dfrac{9}{13}\ c)\dfrac{9}{13},\ d)\dfrac{4}{13}$

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3 years ago