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3 years ago

Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Mathematics

2 answers:

Ann [662]3 years ago

7 0

Answer:

x=7

because distributive property and addition and subtraction

ludmilkaskok [199]3 years ago

6 0

Answer:

Explanation:

5(x – 3) = x + 13

Expand 5(x - 3): 5x - 15

5x - 15 = x + 13

Add 15 To Both Sides

5x - 15 + 15 = x + 13 + 15

Simplify

5x = x + 28

Subtract x From Both Sides

5x - x = x + 28 - x

Simplify

4x = 28

Divide Both Sides By 4

4x / 4 = 28 / 4

- PNW

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THEIR AGES

snow_tiger [21]

Answer:

Tom’s age is 7 years

Mary’s age is 13 years

Step-by-step explanation:

Since we do not know the ages, let’s represent the ages by variables at first.

Let m represent mary’s age will t represent Tom’s age.

Now, let’s proceed to have equations.

Adding square of Tom’s age (t^2) to mary’s age give 62

t^2 + m = 62 •••••••(i)

Adding square of mary’s age (m^2) to Tom’s age give 176

m^2 + t = 176 •••••••(ii)

Now, to get the individual ages, we will need to solve both equations simultaneously.

Solving both equations simultaneously without mathematical softwares can be a little hard.

By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.

By inputing these equations, we have the values of t to be 7 and m to be 13

And if we try to check by inspection, we can see that these values are actually correct.

7^2 + 13 = 62

13^2 + 7 = 176

6 0

3 years ago

Examine the data below for a stalk of corn. Logarithmic regression Use logarithmic regression to find an equation of the form y

masya89 [10]

The value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

<h3>What is logarithmic regression?</h3>

Logarithmic regression is a type of regression which is used to model the statement in which the growth or decay initially at rapid rate, and then slow down with respect to time.

The data of the table for the day and height of the stalk of corn is listed below.

Day (<em>x</em>) 9 12 22 40

Height (<em>y</em>) in 5 17 45 60

Mean of x values,

$m_x=\dfrac{9+12+22+40}{4}\\m_x=17.5581$

Mean of y values,

$m_y=\dfrac{5+17+45+60}{4}\\m_y=31.75$

For the above table, the value of correlation coefficient is 0.99133. For these values, the logarithmic regression can be given as,

$y = -76.2038+37.6735\ln(x)$

Compare it with the following logarithmic regression equation, we get

$y = a+b\ln(x)$

$a=-76.2038\\b=37.6735$

Hence, the value of <em>a</em> and <em>b</em> for the data values of stalk of corn using the logarithmic regression is -76.2038 and 37.6735 respectively.

Learn more about the logarithmic regression here;

brainly.com/question/25226042

5 0

2 years ago

Convert 96.4% to a fraction in simplest form and a decimal.

GREYUIT [131]

Answer:

241/250

Step-by-step explanation:

5 0

3 years ago

PLEASE ANSWER ASAP! ANSWER MUST MUST MUST MMMMUUUUSSSSTTTTTT INCLUDE AN EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIES

Aleks [24]

The answer is 4/7. see it from the multiple of 3...3*4 =12 and 3*7= 21. So this is the answer: 4/7.

4 0

3 years ago

160% of what number 56?

Bogdan [553]

Answer:

160% of 35 is 56.

Step-by-step explanation:

$\frac{56}{y} :\frac{160}{100}$

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

7 0

3 years ago