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ikadub [295]
3 years ago
8

40 to a ratio of 2:3

Mathematics
1 answer:
Anarel [89]3 years ago
7 0

Answer: 16:24

Step-by-step explanation:

add the ratio so 2+3=5

Divide from 40 so 40/5=8

multiply by individual ratios

2*8:3*8= 16:24

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The number 49 has exactly three factors. Since 98 is a multiple of 49, which must be true of 98? It must have only two factors.
Mumz [18]

Answer:

Step-by-step explanation:

⇒49=7×7 =1 × 49

Factors of 49 = 1,7,49

⇒It is given that ,98 is a Multiple of 49.

98 = 49 × 2

So, apart from factors of 49, number 2, and 98 are also included in the set of factors of 98.

→Factors of 98 are =1,2,7,49,98

3 0
3 years ago
Choose all of the system of equations which have no solution. x + 2y = 10 and 2y = 6 + 5x x = 8 − y and y = 6 + 5x 3x + 2y = 5 a
nirvana33 [79]

Answer:

Third and fourth systems

Step-by-step explanation:

Let's check the first system:

x + 2y = 10

2y = 6 + 5x

Isolating x in the first equation, we have x = 10 - 2y. Applying that in the second equation we have:

2y = 6 + 5(10-2y)

2y = 6 + 50 - 10y

12y = 56

y = 4.6667

from the first equation, we have that x + 2*4.6667 = 10 -> x = 0.6667

So this system has a solution.

Checking now the second system:

x = 8 − y

y = 6 + 5x

using y from the second equation in the first equation, we have:

x = 8 - 6 - 5x

6x = 2

x = 0.3333

then, in the second equation:

y = 6 + 5*0.3333 = 7.6666

This system also has a solution

Third system:

3x + 2y = 5

2y = 6 − 3x

The second equation can be rewritten as:

3x + 2y = 6

We can see from both equation that the same expression (3x + 2y) has two values (5 and 6). So we can't solve this system.

Fourth system:

3x = 2 − 4y

4y = 7 − 3x

The first equation can be rewritten as 3x + 4y = 2

The second equation can be rewritten as 3x + 4y = 7

We can see from both equation that the same expression (3x + 4y) has two values (2 and 7). So we can't solve this system.

So, the systems that have no solution are the third and fourth systems

3 0
3 years ago
Interior angle is (12x+12)°.
Jobisdone [24]
Answer: It has 4 sides
6 0
3 years ago
Read 2 more answers
What is 576/9 simplified?
nlexa [21]

Answer:

It is 64. Pls mark me as brainliest.

Step-by-step explanation:

You divide.

576÷9=64

576÷9

9÷9=1

64/1

or

64

There both the same.

7 0
3 years ago
Read 2 more answers
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
ziro4ka [17]

Answer:

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

X \sim N(5.75241,0.06281)  

Where \mu=5.75241 and \sigma=0.06281

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

For the case when z =-2 we can do this:

-2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 -2*0.06281 =5.6121

And for the other case when Z=2 we have:

2 = \frac{X-5.75241}{0.06281}

And if we solve for X we got:

X = 5.75241 +2*0.06281 =5.8886

If the weight is higher than 5.8886 gr would be considered significantly high

If the weight is lower than 5.6121 gr would be considered significantly low

5 0
3 years ago
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