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2 years ago

Find the fractional part the first number is of the second examples:12;30,9;27,15;50

Mathematics

1 answer:

marin [14]2 years ago

6 0

Answer:

a) 2/5

b) 1/3

c) 3/10

Step-by-step explanation:

a)12;30

= 12/30

= 2/5

b)9;27

= 9/27

= 1/3

c) 15;50

= 15/50

= 3/10

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Find the complete factorization of the expression. 12xy + 28xz A) 4yz(10x) B) 4yz(3x + 7x) C) 4x(3y + 7z) D) 4(3xy + 7yz)

VashaNatasha [74]

Answer:

<em>The correct option is: C) 4x(3y + 7z)</em>

Step-by-step explanation:

Given expression is: $12xy+28xz$

First we need to find the GCF(Greatest common factor) of $12xy$ and $28xz$ and then we will factor out that GCF.

$12xy \Rightarrow 2\times 2\times 3\times x\times y\\ \\ 28xz\Rightarrow 2\times 2\times 7\times x\times z$

We can see that the common factors are: $2,2, x$

So, the GCF will be: $2\times 2\times x= 4x$

Now factoring out $4x$ from the given expression, we will get.....

$12xy+28xz\\ \\ = 4x(\frac{12xy}{4x}+ \frac{28xz}{4x}) \\ \\ =4x(3y+7z)$

So, the complete factorization will be: $4x(3y+7z)$

7 0

3 years ago

3y-x=3 and x is four times the value of y what is the value of x-y?

Aleonysh [2.5K]

Answer:

x - y = -9

Step-by-step explanation:

from the equation

3y - x = 3

and x is four times the value of y

i.e x = 4y

put x = 4y into the first equation

we have;

3y - 4Y = 3

-Y = 3

Divide both sides by -1

we have

y = -3

so put y = -3 in the 2nd equation

i.e x = 4y

x = 4 × -3

x = -12

therefore x = -12 and y = -3

so tho find x - y

we have

-12 - (-3)

= -9

therefore x - y = -9

7 0

3 years ago

Find the measure of angle XAZ in the figure below.

Bess [88]

Answer:

m∠XAZ = 40°

Step-by-step explanation:

Since ∠YAU, ∠YAZ and ∠XAZ are the angles based at a point on a straight line, and the sum of the all angles on a line is 180°.

Therefore, m∠YAU + m∠YAZ + m∠XAZ = 180°

50° + 90° + m∠XAZ = 180°

m∠XAZ = 180° - 140°

= 40°

Therefore, measure of angle XAZ is 40°.

5 0

2 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

solniwko [45]

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

$P(X=6)=(0.162)$

Step-by-step explanation:

From the question we are told that:

Sample size $n=18$

Probability $P=0.267$

No. that do not cover their mouth when sneezing $x=6$

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

$P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}$

Where

$x=6$

Therefore

$P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}$

$P(X=6)=(0.162)$

5 0

2 years ago

3 more than 5 times the number of dogs

iogann1982 [59]

Hello, :)
Say the number of dogs is y
more than means addition
5 times means multiplication
because it says 3 more than, the 5 comes first
the answer is : 5y+3

7 0

2 years ago

Read 2 more answers