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Zigmanuir [339]
3 years ago
13

Simplify 7x + 2y - 3x + 4y Factorise 10x - 15 Solve 5p = 3p + 8

Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

1. x = -1.5y

2. 5 (2x-3)

3. p = 4

Step-by-step explanation:

1) Simplifying

7x + 2y + -3x + 4y = 0

Reorder the terms:

7x + -3x + 2y + 4y = 0

Combine like terms: 7x + -3x = 4x

4x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

4x + 6y = 0

Solving

4x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

4x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

4x + 0 = 0 + -6y

4x = 0 + -6y

Remove the zero:

4x = -6y

Divide each side by '4'.

x = -1.5y

Simplifying

x = -1.5y

2)

Common factor

10x - 15

5 (2x-3)

3) Simplifying

5p = 3p + 8

Reorder the terms:

5p = 8 + 3p

Solving

5p = 8 + 3p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-3p' to each side of the equation.

5p + -3p = 8 + 3p + -3p

Combine like terms: 5p + -3p = 2p

2p = 8 + 3p + -3p

Combine like terms: 3p + -3p = 0

2p = 8 + 0

2p = 8

Divide each side by '2'.

p = 4

Simplifying

p = 4

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3 years ago
Explain the difference between the union and intersection of two sets.
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8 0
3 years ago
PLEASE HELP WILL GIVE EXTRA POINTS
Eddi Din [679]

Answer:

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B

Step-by-step explanation:

The p-value

The test statistic is given as follows;

Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}  \right )}}

\hat p_1 = 35/220 = 7/44

\hat p_2 = 39/230

\hat p = 74/220 = 37/110

We get our test statistic z = -0.2996381

Part A

The p-value indicates that the largest probability of having the two remedies having a difference as observed or larger than as observed  being equal to 0.3822

Part B:

Given that the p-value of 0.3822 is larger than the significance level α of 0.05, we fail to reject the null hypothesis and we conclude that there is enough statistical evidence to suggest that the salvage rates are the same for Remedy A and B.

5 0
3 years ago
BAGOBO 10
vodomira [7]

The degree measure of the diameter and the degree measure of the semicircle are the same.

Step-by-step explanation:

Diameter is the chord passing through the centre of the circle. It is the longest of all the chords of a circle. Semicircle refers to half circle. It is to be noted that semicircle has its base on the circle's diameter.

As we know that the angle measure of the diameter is 180 degrees (since diameter is also a straight line whose angle equals 180 degrees )

Similarly, the degree measure of the semicircle is half of the complete circle i.e. 360/2= 180 degrees.

Thus, angle subtended by the diameter is same as that of the angle made by the semicircle.

4 0
4 years ago
IBM states that it makes a 30% profit over its expenses for producing hard drives. IBM sells each hard drive for $ 390. How much
densk [106]

Answer:

300

Step-by-step explanation:

IBM makes 30% profit = 130% of product value

390=130x

390/130=x

3=x

100*x=cost of product

300

6 0
3 years ago
Read 2 more answers
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