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2 years ago

3×-5=16 and 3×=21

Mathematics

2 answers:

larisa [96]2 years ago

8 0

Step-by-step explanation:

because we can also find out the value of x in second equation like this

3x=21

x=21/3

x=7

Butoxors [25]2 years ago

8 0

Answer:

We conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Step-by-step explanation:

Given the first equation

3x-5 = 16

solving the equation

3x-5 = 16

adding 5 to both sides

3x-5+5 = 16+5

3x = 21 ∵ 3x = 21 is the 2nd equation

divide bothe sides by 3

3x/3 = 21/3

x = 7

Please notice that when simplifying 3x-5 = 16, the moment we reach 3x=21, we can determine that it represents the same equation.

In other words, whatever the value of x we will get, it will satisfy both equations.

Therefore, we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

Verification:

Consider the 2nd equation

3x = 21

Put x = 7

3(7) = 21

21 = 21

Thus, it has been validated that when we conclude that x = 7 must be true for the second equation because it will also satisfy the second equation.

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6 38/45 + 2 5/9 <br><br> Enter your answer in the box as a mixed number in simplest form.

Paul [167]

Answer:

9 2/5

Step-by-step explanation:

6 38/45 + 2 5/9

6 38/45 + 2 25/45 = 8 63/45 = 9 18/45 = 9 2/5

4 0

3 years ago

Helppppp please will give brainlist

NeX [460]

Answer:

D or answer 4 y=-5/2x+7

Step-by-step explanation:

Well we can first start of by finding the y-intercept.

Note that when x=0, you can find your y-intercept.

Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.

So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.

Please know that in the equation:

y = mx + b

y = y-coordinate or any given point

mx = slope

b = y-intercept

Now we must find slope

To find the slope we need to do:

(y2 - y1) / (x2 - x1) or rise/run

The two coordinates I choose to use is (0, 7) and (6, -8).

(-8 - 7) / (6 - 0) = -5/2

-5/2 is the slope

Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.

Answer: D or answer 4

7 0

3 years ago

there are 270 at Colfax Middle School, where the ratio of boys to girls is 5:4. there are 180 students at Winthrop Middle School

ruslelena [56]

Colfax:

Add the ratio numbers together:

5 + 4 = 9

Divide total students by that:

270 / 9 = 30

Multiply each ratio by 30:

Boys = 30 *5 = 150

Girls = 30 * 4 = 120

Do the same for Winthrop:

4 +5 = 9

180 /9 = 20

Boys = 20 * 4 = 80

Girls = 20 * 5 = 100

Total students = 270 + 180 = 450

Total Girls = 120 + 100 = 220

Fraction that are girls = 220 / 450 which reduces to 22/45

4 0

3 years ago

Suppose the weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams. The weights

user100 [1]

Answer:

a) 0.0304 = 3.04% probability a randomly chosen apple exceeds 100 g in weight.

b) The weight that 80% of the apples exceed is of 78.28g.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Weights of apples are normally distributed with a mean of 85 grams and a standard deviation of 8 grams.

This means that $\mu = 85, \sigma = 8$