All categories

2 years ago

The

Mathematics

2 answers:

raketka [301]2 years ago

7 0

Answer: $\huge\boxed{x=3\frac{1}{3} \quad ;\quad y=-3}$

Step-by-step explanation:

$\displaystyle\ \Large \boldsymbol+\ \left \{ {{6x+4y=8} \atop {-4y=12}} \right. \Longrightarrow\\\\\\ 6x+ 4y\!\!\!\!\!\diagup-4y\!\!\!\!\!\diagup=12+8 \\\\6x=20 \\\\x=\frac{20}{6} =\frac{10}{3} =3\frac{1}{3} \quad ; \quad y=-3$

shepuryov [24]2 years ago

4 0

6x + 4y = 8
-4y = 12

6x + 4y = 8
y = 12/-4 = -3

6x + 4(-3) = 8
y = -3

6x -12 = 8
y = -3

x = (8+12)/6 = 10/3
y = -3 i guess

You might be interested in

Let the mean of the population be 38 instances of from 6" - 9" hatchings per nest, and let the standard deviation of the mean be

Masja [62]

Answer:

Mean of the population having 6"-9" Hatching =38

Standard Deviation =4

Step-by-step explanation:

Confidence interval of 95% means that 95% of data lie within two standard deviations.

That is data values lie between 38-2×4 to 38 +2×4.

⇒Which is 38-8 to 38+8.

⇒30 to 46.

it is also given that margin of error is 2.5%.

So, the data value will lie between

Mean of beginning value to extreme value of 95% confidence level

So, Sample mean of this observation having 2.5% margin of error = 38

Option D:→ 38

5 0

3 years ago

Josie took a road trip. She drove for 45 minutes at 70 miles per hour. Then she drove 15 minutes at 20 miles per hour. How far d

Hunter-Best [27]

Answer:

Therefore Josie drove 57.5 miles.

Step-by-step explanation:

Speed: The ratio of distance to time.

To find the distance we use the following formula

$Distance= time \times speed$

Given that Josie drove 45 minutes at 70 miles per hour.

$45 \ minutes= \frac{45}{60}\ h=\frac34\ h$

In 45 minutes, she traveled = $(70\times \frac34) \ miles$

=52.5 miles.

The she drove 15 minutes at 20 mile per hour.

$15 \ minutes= \frac{15}{60}\ h=\frac14\ h$

In 15 minutes, she traveled $=(20\times \frac 14) \ miles$

=5 miles

Therefore Josie drove (52.5+5) miles= 57.5 miles.

3 0

3 years ago

M <img src="https://tex.z-dn.net/?f=m%20%7B2%7D%20%20%20-%20m%20-%202%20%3D%200" id="TexFormula1" title="m {2} - m - 2 = 0"

Serjik [45]

Answer:

m=2-2

m=0

Step-by-step explanation:

U need to do substitution

So u carry both 2 from that side to cross the equal to sign. One becomes positive because it is carrying a negative sign at the other side

4 0

2 years ago

-5,15,-45,135 common ratio

S_A_V [24]

Answer:

5 is the common ratio for your numbers

7 0

2 years ago

In order to win a quiz contest, olga must score more than 400 points. She earns 12 points for each right answer, and loses 4 poi

Ket [755]

The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is: $3r-w>100$

Explanation

Number of right answers is $r$ and number of wrong answers is $w$

Olga earns 12 points for each right answer and loses 4 points for each wrong answer.

So, total points earned for $r$ right answers $=12r$

and total points lost for $w$ wrong answers $=4w$

That means, her score will be: $(12r-4w)$ points.

In order to win the quiz contest, Olga must score more than 400 points. So, the inequality will be.......

$12r-4w>400\\ \\4(3r-w)>400\\ \\ 3r-w>100$

4 0

2 years ago