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3 years ago

What would be the expression after distributing, 4(x+7)?

Mathematics

2 answers:

umka2103 [35]3 years ago

3 0

Answer:

4x+28

Step-by-step explanation:

evablogger [386]3 years ago

3 0

Answer:

4x + 28

Step-by-step explanation:

First you would multiply 4 and x to get 4x, next 4 x 7 to get 28. Since they are not like terms you are left with 4x + 28

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Number 9 I need help

jolli1 [7]

650 multiplied by 5 because 100÷20 =5

7 0

3 years ago

Read 2 more answers

The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

melamori03 [73]

The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width

Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!

5 0

3 years ago

PLEASE HELP ME WITH THIS THANKS

stich3 [128]

Answer:

The answer to your question is Volume = 12735.06 cm³

Step-by-step explanation:

Data

a = 11.26 cm

s = 13 cm

h = 29 cm

Formula

V = BH

Process

1.- Calculate the area of the base

Area = B = Pa/2

P = Perimeter

P = 6(13)

P = 78 cm

Area = (78)(11.26)/2

= 878.28/2

= 439.14 cm²

2.- Calculate the volume

Volume = BH

= (439.14)(29)

= 12735.06 cm³

7 0

3 years ago

Read 2 more answers

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

3 0

3 years ago

The average reading score on certain tests is given by y = 0.153x + 255.4, where x is the number of years past 1970. In what yea

nirvana33 [79]

Average reading score is given by the expression,

y = 0.153x + 255.4

Here, x in the number of years past 1970.

To find the year in which the average reading score is 259.378, substitute the value of 'y' in the given expression.

y = 0.153x + 255.4

259.378 = 0.153(x) + 255.4

0.153x = 259.378 - 255.4

0.153x = 3.978

x = $\frac{3.978}{0.153}$

x = 26

That means given average reading score 259.378 will be 26 years after 1970.

Therefore, 1996 is the year in which the average reading score will be 259.378.

Learn more,

brainly.com/question/2883790

3 0

2 years ago