Eric says he knows 9/10 is 1/10 less than 10/10 or 1 mile so he is going to subtract 1 mile then I had 1/10 back can he use this method to solve the example problem explain

The distributive property of multiplication over addition can be used when you multiply a number by a sum. The distributive property lets you multiply a sum by multiplying each addend separately and then add the products:

[tex] a\cdot (b+c)=a\cdot b+a\cdot c. [/tex]

The distributive property of multiplication over subtraction can be used when you multiply a number by a difference. The property states that the product of a number and the difference of two other numbers is equal to the difference of the products:

[tex] a\cdot (b-c)=a\cdot b-a\cdot c. [/tex]

Therefore, you can see what sign is in the brackets, if sign is "+", then you have to add, if sign is "-", then you have to subtract.

The addition or subtraction in the distribution property depends on the sign between the two real numbers in the expression.

Further explanation:

The distributive property states that if a number [tex]a[/tex] is multiplied with the sum of the two numbers [tex]b[/tex] and [tex]c[/tex] then the result is same as if the numbers are multiplied separately.

[tex]\fbox{\begin\\\ \math a(b+c)=(a\cdot b)+(a\cdot c)\\\end{minispace}}[/tex]          ....(1)

The distributive property states that if a number [tex]a[/tex] is multiplied with the difference of the two numbers [tex]b[/tex] and [tex]c[/tex] then the result is same as if the numbers are multiplied separately.

[tex]\fbox{\begin\\\ \math a(b-c)=(a\cdot b)-(a\cdot c)\\\end{minispace}}[/tex]             ....(2)

For example: Consider [tex]5[/tex] as [tex]a[/tex], [tex]6[/tex] as [tex]b[/tex] and [tex]2[/tex] as [tex]c[/tex].

Substitute [tex]5[/tex] for [tex]a[/tex], [tex]6[/tex] for [tex]b[/tex] and [tex]2[/tex] as [tex]c[/tex] in the equation (1) as follows:

[tex]\begin{aligned}5(6+2)&=(5\cdot 6)+(5\cdot 2)\\5\cdot 8&=30+10\\40&=40\end{aligned}[/tex]  

Now, substitute [tex]5[/tex] for [tex]a[/tex], [tex]6[/tex] for [tex]b[/tex] and [tex]2[/tex] as [tex]c[/tex] in the equation (2) as follows,

[tex]\begin{aligned}5(6-2)&=(5\cdot 6)-(5\cdot 2)\\5\cdot 4&=30-10\\20&=20\end{aligned}[/tex]

Therefore, the addition or subtraction in the distributive property is based on the sign between the two real numbers. If the sign between the real number is positive then the numbers are added and if the sign between the real number is negative then the numbers are subtracted.

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Answer details

Grade: Middle school

Subject: Mathematics

Chapter: Real numbers

Keywords: Distributive property, a(b+c)=ab+ac, a(b-c)=ab-ac, real numbers, positive value, negative value, multiply, add, sum, difference.

Chad bought 8 dozens of note pads, which totals 96 note pads. When he divides these into 6 boxes, each box will contain 16 note pads.

To solve the problem of dividing 8 dozen note pads equally into 6 boxes, we first need to know the total number of note pads Chad has. As one dozen is equal to 12 objects, Chad has 8 x 12 = 96 note pads. Then, we divide this total by the number of boxes to find out how many note pads go into each box.

So, 96 note pads / 6 boxes = 16 note pads per box.

Answer: 38 and there would be more likely 1 less kid in each group

Step-by-step explanation:

Answer: 22 feet per second

Step-by-step explanation:

Hi, the question asks for the speed rate in feet per second.

Since 1 minute = 60 seconds, 4 minutes x 60 = 240 seconds.

So, he ran 5,280 feet in 240 seconds.

To calculate the speed rate in feet per second we simply have to divide the distance (5280) by the time (240):

5280 feet / 240 sec = 22 feet per second

Feel free to ask for more if needed or if you did not understand something.

Answer:  The correct option is (C) [tex]y=4x-13.[/tex]

Step-by-step explanation:  We are given to write a rule for the linear function given in the graph.

Since the graph is a straight line, so we are to find the equation of the line to find the rule.

From the graph, we note that

the points (3, -1) and (4, 3) lie on the straight line.

So, the slope of the line will be

[tex]m=\dfrac{3-(-1)}{4-3}\\\\\\\Rightarrow m=4.[/tex]

Since the line passes through the point (4, 3), so the equation of the line is given by

[tex]y-3=m(x-4)\\\\\Rightarrow y-3=4(x-4)\\\\\Rightarrow y=4x-16+3\\\\\Rightarrow y=4x-13.[/tex]

Thus, the required rule for the linear function is

[tex]y=4x-13.[/tex]

Option (C) is correct.

The problem is solved by setting up a ratio of green lights to white lights. Given 30 green lights, and knowing the ratio is 6 green lights for every 4 white lights (or 3:2), we find that there are 20 white lights.

The problem can be solved by setting up a ratio. We know that for every 6 green lights, there are 4 white lights. Therefore the ratio of green lights to white lights is 6:4, or simplified to 3:2. Given that there are 30 green lights on the string, we can set up the equation (3/2 = 30/x), where x represents the number of white lights. Solving for x (multiplying both sides by 2 and then dividing both sides by 3) gives us x = 20. Therefore, there are 20 white lights on the string.

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The answer to this question is 10267.

The rate of change represents the cost per lawn mowed. which is the correct answer would be an option (B).

It quantifies how much the function changed per unit on average throughout that time interval. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

The graph is given in the question.

According to the given graph, we can see that the y-axis is labeled cost (dollars) and that the x-axis is labeled lawns mowed.

The rate of change of a graph is given by the y value divided by the x value.

As per this situation, the rate of change describes the cost per lawn mowed.

Therefore, the rate of change represents the cost per lawn mowed.

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Answer:

Sales tax for the refrigerator is $31.53.

Step-by-step explanation:

The price of a refrigerator = $525.50

Sales tax rate = 6%

Sales tax on the price of refrigerator = 6% × 525.50

                                                             = [tex]\frac{6}{100}[/tex] × 525

                                                             = 0.06 × 525.50

                                                             = $31.53

Sales tax for the refrigerator is $31.53.

The result of the expression 18(26) using the distributive property is 468

Given the product of integers 18(26), we are to write it using the distributive property.

Given 3 integers A, B and C

A(B+C) = AB + AC

This shows that the variable A was distributed over A and B

Applying this in the given question;

18(26) = 18 (20 + 6)

18(26) = 18 (20) + 18(6)

18(26)  = 360 +  108

18(26)  = 468

Hence the result of the expression 18(26) using the distributive property is 468

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Answer:

a. 992 stickers

b. 2 stickers

c. 4 stickers

Step-by-step explanation:

Let Lindsay has x stickers,

∵ Menon has 4 times as many stickers as Lindsay,

So, the number of stickers Menon has = 4x,

Thus, the total stickers = x + 4x = 5x

According to the question,

5x = 1240

⇒ x = 248,

a. Thus, the number of stickers Menon has = 4x = 4(248) = 992,

b. If Menon fills some pages in album such that each page contains 6 stickers,

Then the number of such pages = [tex]\frac{\text{stickers contained by Menon}}{6}[/tex]

[tex]=\frac{992}{6}[/tex]

= 165 pages and 2 stickers,

Thus, 2 stickers are left over.

c. ∵ Every page contains 6 stickers,

I.e. he needs 4 more stickers for one more page.

By subtracting the weight difference of 24.8 pounds from the Springer Spaniel's weight of 48.5 pounds, we determine that the Cocker Spaniel weighs 23.7 pounds.

The question involves basic arithmetic, specifically subtraction, to solve for the weight of the Cocker Spaniel.

First, we need to start with the weight of the Springer Spaniel, which is given as 48.5 pounds. The Cocker Spaniel weighs 24.8 pounds less than the Springer Spaniel.

To find the weight of the Cocker Spaniel, we simply subtract:

48.5 pounds (Springer Spaniel's weight) - 24.8 pounds (difference in weight) = 23.7 pounds (Cocker Spaniel's weight)

Therefore, the Cocker Spaniel weighs 23.7 pounds.

Answer:

Your correct answer is A. Without a table or graph, you might forget what an equation represents.

Step-by-step explanation:

Hope this helps :) -Mark Brainiest Please :)

She can make 48 cups juice

One variable linear equation is an equation that has a variable and the exponent number is one.  

Can be stated in the form:  

[tex]\large{\boxed{\bold{ax=b}}[/tex]

or  

ax + b = c, where a, b, and c are constants, x is a variable  

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one  

Can be stated in the form:  

[tex]\large{\boxed{\bold{ax+bx=c}}}[/tex]

x, y = variable  

Let x = cups of concentrate

w = cups of water

If we translate this sentence into equation:

w = 5x .. equation 1

If we translate this sentence into equation:

w = 32+x .. equation 2

We can make a comparison from equation 1 and 2

[tex]\displaystyle \frac{water}{concentrate} =5[/tex]

[tex]\displaystyle \frac{32+x}{x} =5[/tex]

[tex]\displaystyle 32+x=5x[/tex]

[tex]\displaystyle 32=4x[/tex][tex]\large{\boxed{x=8\:cups}}[/tex]

so x = concentrate = 8 cups

then water :

[tex]\displaystyle water={5\times8}[/tex]

water = 40 cups

Total juice she can make :

= 40 + 8 cups

=  48 cups

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Keywords : one variable, linear equation , juice, cups, concentrate, water

The area of rectangular shelf with length 5 feet and width 3 feet is 15 feet².

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of rectangular shelf = 5 feet

The width of rectangular shelf = 3 feet

We know that;

Area of rectangle = Length × Width

So, We get;

The area of rectangular shelf = 5 × 3

                                             = 15 feet²

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