All categories

2 years ago

4x + 3y = 6 3x + 5y = -1 Solve the simultaneous equations. y= z=

Mathematics

1 answer:

Kisachek [45]2 years ago

4 0

Answer:

x=3, y= -2

Step-by-step explanation:

Multiplying :

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

(3x+5y =-1)*4

-12x -9y= -18

12x+20y= -4

Add the equations

20y-9y = -4-18

11y = -22

y= -22/11 = -2

3x +5* -2= -1

3x -10 = -1

3x = 10-1

x= 9/3 =3

You might be interested in

Is 2.375 a rational or a irrational number

victus00 [196]

Rational number thats the answer

5 0

3 years ago

Read 2 more answers

Can someone help me with this?

andrew-mc [135]

There are 5 equal sections on a spinner. Buzz wants to try to get the Letter D, which is 1/5 of the equal sectioned spinners.

In a 6 sided cube, 2, 4, & 6, are the even numbers, or 3/6 or 1/2 of the numbers are even.

Multiply the two fractions together:

1/5 x 1/2 = 1/10

C) 1/10 is your answer

hope this helps

6 0

3 years ago

Read 2 more answers

The velocity of a particle moving back and forth on a line is vequalsStartFraction ds Over dt EndFraction equals6 sine (2 t )Sta

max2010maxim [7]

Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

$v = \frac{ds}{dt} = 6 sin(2t)$ m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

$\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3$

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

4 0

3 years ago

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages comple

bekas [8.4K]

Answer:

8x = 136

Where: x = 17

Step-by-step explanation:

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Let the number of pages read per day = x

Hence, the number of pages after 8 days = 8 × x = 8x

Total number of pages = y= 136

Therefore:an equation relating x, the number of days, to y, the total pages.

= 136 = 8x

Solving for x

136/8 = x

x = 17

7 0

3 years ago

The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet

nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The feet of the average adult woman are 24.6 cm long

This means that $\mu = 24.6$