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2 years ago

Factorise 10xy-12+15x-8y

Mathematics

1 answer:

GaryK [48]2 years ago

4 0

Answer: 10xy-12+15x-8y=(5x-4)*(2y+3).

Step-by-step explanation:

$10xy-12+15x-8y=(10xy-8y)+(15x-12)=\\=2y*(5x-4)+3*(5x-4)=(5x-4)*(2y+3).$

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Identify the property used in each step of solving the inequality 7x+4 <46.

ELEN [110]

Answer:

2.Addition Property

3.Multiplication Property

Step-by-step explanation:

3 0

3 years ago

Find the solution for 8x = 48. Then explain how you

aniked [119]

Answer is : 6

workings:
8x = 48
divide by 8 on both sides.
x = 6

we could check it by substituting x back in so, 8 x 6 = 48

4 0

3 years ago

Read 2 more answers

The scores of fourth grade students on a mathematics achievement test follow a normal distribution with a mean of 75 and standar

mamaluj [8]

Answer:

The appropriate solution is:

(a) 0.1056

(b) 0

(c) 0.9544

Step-by-step explanation:

The given values are:

Mean,

$\mu = 75$

Standard deviation,

$\sigma = 4$

(a)

⇒ $P(x>80)=1-(x$

$=1-P[\frac{x-\mu}{\sigma}$

$=1-P(z$

By using the table, we get

$=1-0.8944$

$=0.1056$

(b)

According to the question, the values are:

$n$ = 64

$\mu_\bar{x}$ = 75

Now,

⇒ $\sigma_\bar{x}$ = $\frac{\sigma}{\sqrt{n} }$

= $\frac{4}{\sqrt{64} }$

= $\frac{4}{8}$

= $0.5$

⇒ $P(\bar {x} >80 ) = 1 - P(\bar x$

$=1 - P[\frac{(\bar x-\mu_\bar x)}{\sigma \bar x} < \frac{80-75}{0.5} ]$

$=1-P(z$

By using the table, we get

$=1-1$

$=0$

(c)

As we know,

⇒ $\sigma_\bar x$ = $\frac{\sigma}{\sqrt{n} }$

= $\frac{4}{\sqrt{64} }$

= $\frac{4}{8}$

= $0.5$

then,

= $P(74< \bar x$

= $P[\frac{74-75}{0.5} < \frac{\bar x-\mu \bar x}{\sigma \bar x} < \frac{76-75}{0.5} ]$

= $P(-2$

= $P(z$

By using the table, we get

= $0.9772-0.0228$

= $0.9544$

7 0

3 years ago

Find x and fill in the angle values. Could you also explain how it works? Please and thank you.

dlinn [17]

Hello!

Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.

The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.

180 = 2x + x
180 = 3x
60 = x

x = 60

To find the measure if each angle, plug in x as needed.

Angle 4 = x
Angle 4 = 60 degrees

Angle 2 = angle 4
Angle 2 = 60 degrees

Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120

Angle 1 = angle 3
Angle 1 = 120

I hope this helps you.

4 0

3 years ago

Need help ASAP fine the value of x. Round to the nearest tenth x=

White raven [17]

Answer:

x = 13.5

Step-by-step explanation:

To find x, we use the sine rule

For the sine rule,

the ratio of the sides to the sine of the angle facing the side is equal for all the sides of the triangle

Thus,

x/sin 34 = 11/ sin 27

x = 11 sin 34/sin 27

x = 13.5

5 0

3 years ago