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2 years ago

Please answer this simple question !!!

Mathematics

1 answer:

Nastasia [14]2 years ago

6 0

The final answer is (2,1).

Step 1: Solve for either x or y in one of the two equations.

x + 3y = 5
- 3y - 3y
----------------------
x = -3y + 5


Step 2: Substitute the expression you got for x into the opposite equation.

-3y + 5 - 3y = -1
  -6y + 5 = -1
   - 5 - 5
--------------------
-6y = -6
------ -----
-6 6

y = 1

Step 3: Plug in the solution you got for y into either of the 2 equations.

x + 3(1) = 5
  x + 3 = 5
  - 3 - 3
---------------
x = 2

You might be interested in

The printer can print 168 papers in 21 minutes. Enter the number of paper the printer can print in 10 minutes.

kolbaska11 [484]

Answer:

80 pages

Step-by-step explanation:

We can use ratios to solve

168 papers x papers

------------------ = -----------------

21 minutes 10 minutes

168*10 = x * 21

1680 = 21x

Divide each side by 21

1680/21 = 21x/21

80 = x

80 pages

4 0

3 years ago

Last autumn, julia noticed something interesting as she blew up spherical balloons for harris's birthday party. she calculated t

Vikki [24]

To find whether the volume would be doubled when the radius is,we can find the volume of the two balloons.

The formula of a sphere is:
$\frac{4}{3} \pi \: {r}^{3}$
Let's take 丌 as 3.14

The volume of the balloon with 4cm radius:
$\frac{4}{3}(3.14) \times {4}^{3} \\ = 4.18667 \times 64 \\ = 267.94688$

The volume of the balloon with 8cm radius:
$\frac{4}{3}(3.14) \times {8}^{3} \\ = 4.18667 \times 512 \\ = 2143.57504$
As we can see,
267.94668 × 2 = 535.89 ≠2145.56

Thus,she wouldn't discover that the volume is twice as big when the radius is doubled.

Hope it helps!

4 0

3 years ago

Read 2 more answers

Why would i use a straightedge to measure the length of a segment?

Simora [160]

You would measure the length of a segment with a straightedge because it is free from curves and can help measure a segment because it is straight.

6 0

2 years ago

Which equation represents a line that is parallel to 2x-3y=9

Sever21 [200]

Two lines are parallel if they have the same slope but a different y intercept. A line with the same slope and y int as another one will be the exact same
Slope in standard form is -a/b, so your slope is 2/3 and your y int is -3
For example:
y=2/3x+1

4 0

3 years ago

A veterinarian collects data on the number of times race horses are raced during their careers. The veterinarian finds that the

SpyIntel [72]

Answer:

c. (12.12, 18.48)

Step-by-step explanation:

Hello!

The study variable is X: number of times a racehorse is raced during its career.

The average number is X[bar]= 15.3 and the standard deviation is S= 6.8 obtained from a sample of n=20 horses.

To estimate the population mean you need that the variable has a normal distribution, in this case, we have no information about its distribution so I'll assume that it has a normal distribution. With n=20 the most accurate statistic to use for the estimation is a Students-t for one sample, the formula for the interval is:

X[bar] ± $t_{n-1;1-\alpha /2} * \frac{S}{\sqrt{20} }$

$t_{n-1;1-\alpha /2} = t_{19;0.975}= 2.093$

[15.3 ± 2.093 * $\frac{6.8}{\sqrt{20} }$ ]

[12.12; 18.48]

Using a significance level of 95% you'd expect that the true average of times racehorses are raced during their career is included in the interval [12.12; 18.48].

I hope it helps!

8 0

3 years ago