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4 years ago

Solve for X: 2/x+ 4/16

Mathematics

2 answers:

Nat2105 [25]4 years ago

7 0

Answer: x=4

Step-by-step explanation:

2(4+x)=16

(4*2+x*2)=16

(8+2x)=16

8+2x=16

8+-8+2x=16+-8

8+-8=0

0+2x=16+-8

2x=16+-8

8+-8=0

2x=8

16+-8=8

2x=8

X=4

zhenek [66]4 years ago

6 0

Answer:

x=8

Step-by-step explanation:

Cross multiply to solve

2/x=4/16

4*x=2*16

4x=32

Divide by 4 on both sides

x=8

So,

2/8=4/16

Hope this helps! :)

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A + b = 10 a - b = 2

Aliun [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Carlos needs 2/3 cups of raisins to make one batch of oatmeal bars. How many cups of raisins does Carlos need to make 4 batches

Hitman42 [59]

Answer:

8/3 cups

Step-by-step explanation:

Since he needs 2/3 cups for each batch, and he wants to make 4 batches, we can add 2/3 4 times, or multiply 2/3 times 4.

2/3+2/3+2/3+2/3=8/3

2/3*4=8/3

He needs 8/3 cups for 4 batches.

This can also be written as a mixed number: 2 2/3 cups

4 0

4 years ago

Calculate the ratio of ab to ac and the ratio of ad to dc . round your answers to the hundredths place. what do you notice about

yanalaym [24]

The ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.

<h3>Ratios and proportions</h3><h3 />

A ratio means a comparison of two different quantities while proportion is an equality of two ratios.

AB = 5 in
AC = 10 in
AD = 4 in
DC = 8 in

Ratio of AB to AC = 5 in : 10 in

= 5 / 10

= 1 / 2

= 1 : 2

Ratio of AD to DC = 4 in : 8 in

= 4 / 8

= 1 / 2

= 1 : 2

Therefore, the ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.

Learn more about ratios and proportions:

brainly.com/question/12024093

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3 0

2 years ago

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard devia

Butoxors [25]

Answer:

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

<em>Let X = ratings for credit</em>

So, X ~ N( $\mu=200,\sigma^{2}=50^{2}$ )

Now, the z score probability distribution for sample mean is given by;

Z = $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 200

$\sigma$ = standard deviation = 50

$\bar X$ = sample mean

n = sample of applicants = 40

So, probability that their mean is above 215 is given by = P( $\bar X$ > 215)

P( $\bar X$ > 215) = P( $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{215-200}{\frac{50}{\sqrt{40} } }$ ) = P(Z > 1.897) = 1 - P(Z $\leq$ 1.897)

= 1 - 0.97108 = 0.0287

Therefore, probability that their mean is above 215 is 0.0287.

5 0

3 years ago

Which of the following is not an identity?

Shkiper50 [21]

A ) cos² x · 1 / sin x - 1 / sin x = - sin x
cos² x - 1 / sin x = - sin x
- sin² x / sin x = - sin x
- sin x = - sin x ( correct )
B ) sin x ( cos x / sin x + sin x / cos x ) = 1 / cos x
sin x · ( cos² x + sin²x ) / sin x cos x = 1 / cos x
sin x · 1 / sin x cos x = 1 / cos x
1 / cos x = 1 / cos x ( correct )
C ) cos² x - sin² x = 1 - 2 sin² x
1 - sin² x - sin² x = 1 - 2 sin² x
1 - 2 sin² x = 1 - 2 sin² x ( correct )
D ) 1/sin²x + 1/ cos²x = 1
cos²x + sin² x / sin² x cos² x = 1
1 / cos² x sin² x = 1
cos²x sin² x ≠ 1
Answer: D ) is not an identity.

8 0

3 years ago