Which of the following number sentences is an example of the Distributive Property?


7 × (10 + 9) = (7 × 10) + (10 × 9)

7 × (10 + 9) = (7 + 10) x 9

7 × (10 + 9) = (7 × 10) + 9

7 × (10 + 9) = (7 × 10) + (7 × 9)

Answers

Answer 1

Answer:

d. 7 × (10 + 9) = (7 × 10) + (7 × 9)

Step-by-step explanation:

The format of writing numbers in distributive property is a(b+c) = (b)+(c)

We can see that in choice d. 7 × (10 + 9) = (7 × 10) + (7 × 9) it is in correct format of writing numbers in distributive property. Thus, choice d. is correct.

Verification:-

a(b+c) = (a×b)+(a×c)

7 × (10 + 9) = (7 × 10) + (7 × 9)


Related Questions

Ryan is making biscuits. The recipe call for 0.25 quart of milk and 2.5 cups of flour. He has 1/5 quart of milk and 9/4 cups of flour. Explain his error

Answers

Answer:
He does not have enough milk. He only has 0.2 quarts of milk

Ryan's error lies in not utilizing the right units for measurement. He used inadequate milk and wrong flour measurement, influencing the recipe's proportion and result.

How to explain Ryans' error

Ryan's error lies in not utilizing the right units for measurement. The formula calls for 0.25 quart of drain and 2.5 glasses of flour. Ryan utilized 1/5 quart of drain (which is less than 0.25 quart), and rather than utilizing glasses for flour, he utilized 9/4 mugs (which is identical to 2.25 mugs, not 2.5 glasses).

This bungle of units and wrong measurements might lead to the rolls having the off-base consistency and taste due to the awkwardness of fixings. It's imperative to use the desired units and estimations in formulas to realize the expected result.

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Consider the functions f(x) = 6x - 5 and g(x) = 6x + 3. Which statement compares the
relationship between the graphs of the two functions?
A) The graph of g(x) is the same as the graph of f(x) translated down 2 units.
B) The graph of g(x) is the same as the graph of f(x) translated up 8 units.
C) The graph of g(x) is the same as the graph of f(x) translated up 2 units.
D) The graph of g(x) is the same as the graph of f(x) translated down 8 units.

Answers

Answer:

D

Step-by-step explanation:

since we have -5 and 3, in order to translate f(g) into f(x), we subtract 8 from f(g)

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

Given that, f(x)= 6x-5 and g(x)= 6x+3.

When the shape is moved up by k units, then replace y with y + k.

Here, g(x)=6x-5+8

g(x)= 6x+3

The graph of g(x) is the same as the graph of f(x) translated up 8 units. Therefore, option B is the correct answer.

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5/9 divided by 8/5 the lesson is called dividing fractions

Answers

Answer: It can sometimes be difficult to divide fractions, such as 5/9 divided by 8/5. But it's no problem! We have displayed the answer below: 5/9 ÷ 8/5 = 25/72

Step-by-step explanation: Hope this help u bru

i need help fast please

Answers

That is too long 636363663

its too long and if you want someone to do it fast it takes a long time

What is the expected value for the spinner shown below? Enter your answer as a
decimal rounded to the thousandths place,
6
-5
2
-2


Answers

Anser: rely hard for me sry

explennatien:

i dont no the anser im only 6 year old

John lives 27 miles from school. Steven lives 9 more miles from school
than John.
How many miles does Steven live from
school?

Answers

Answer: 36

Step-by-step explanation:

27+9=36

Answer:

36

Step-by-step explanation:

27+9=36

I steven lives 9 more miles than john we are adding.

Which statements about opposites are true? HELLP ME ASAP PLS!!!

Select each correct answer.


The opposite of a number is 1 divided by that number.

The opposite of the opposite of a number is the number itself.

A non-zero number and its opposite are located on opposite sides of zero on a number line.

The opposite of a number is always a negative number.

Answers

Statements 2 & 3 are true

Solve the equation 6x+7x−3x=13+7. Be sure to check your proposed solution by substituting it for the variable in the original equation.

Answers

Answer:

x=2

Step-by-step explanation:

6x+7x−3x=13+7

10x=20

x=20/10

x=2

CAN SOMEONE HELP PLSSSS ITS THE LAST QUESTION

Answers

Answer:

1

Step-by-step explanation:

by equality of triangles

13x-12=7x-6

13x-7x=12-6

6x=6

x=1

write the smallest whole number that make this statement correct 1142 > >981​

Answers

Answer:

982

Step-by-step explanation:

The teacher is asking for the smallest number which fits the statement. 982 is correct because it is only one more than 981.

The smallest whole number that make this statement correct 1142 > >981​ is,

⇒ 982

As, 1142 > 982 > 981

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Statement is,\

⇒ 1142 > ? > 982

Now, We can find the smallest whole number that make this statement correct as;

Since, 982 is just greater than 981.

Hence, The correct number is, 982

Thus, We get;

1142 > 982 > 981

Hence, The smallest whole number that make this statement correct 1142 > >981​ is,

⇒ 982

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Name the properties used to solve this equation:
4/3(3/4x)=4/3 * 1/4. Given
(4/3 * 3/4)x=4/3 * 1/4 a.
1x=4/3 * 1/4. b.
x=4/3 * 1/4 c.
x=1/3 4/3*1/4=1/3

Answers

We want to see the properties used to solve the given equation.

The properties used are:

Existence of the multiplicative inverse.Associative property of the multiplication.

Let's write step by step and see which property we used on each step.

We start with:

[tex]\frac{4}{3} *(\frac{3}{4} *x) = \frac{4}{3} *\frac{1}{4}[/tex]

Now we use the associative property of the multiplication (says that we can multiply in any order we want) we rewrite this to:

[tex](\frac{4}{3} *\frac{3}{4} )*x = \frac{4}{3} *\frac{1}{4}[/tex]

Now we use the existence of the multiplicative inverse, this says that for a number a, there exist a number b such that:

a*b = 1

And we have that b = 1/a.

Then we apply that to the first factor to get:

[tex](\frac{4}{3} *\frac{3}{4}) *x = \frac{4}{3} *\frac{1}{4} \\\\x = \frac{4}{3} *\frac{1}{4}[/tex]

Again, using the same but with the numerator of the first factor of the right side and the denominator of the second factor of the right side we get:

[tex]x = \frac{4}{4} *\frac{1}{3} = \frac{1}{3}[/tex]

Then the properties used are:

Existence of the multiplicative inverse.Associative property of the multiplication.

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Can somebody help me anyone

Answers

Answer is C and D because they are not rational

Question 8 of 10
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.

Help please

Answers

Answer:

no

Step-by-step explanation:

no

The solution is, the slope of the line below is 1/2.

What is slope?

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

from the given graph, we get,

the line is passing through the points (-2, -3 ) and, (2, -1 )

now , we know that,

We can find the slope of a line given two points by using the following:

m = ( y2-y1)/(x2-x1)

so, substituting the values of the coordinates of the points,

we get,

m = -1 + 3 / 2 + 2

   = 2 / 4

   = 1/2

Hence, The solution is, the slope of the line below is 1/2.

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Draw a model to represent 42/7

Answers

Here is a model I have made (I'm not a great artist). There are 42 circles in total, placed in 7 columns. Each column has 6 circles. This model represents 42/7 by splitting 42 into 7 parts, which are the columns, and showing that each column has 6 circles, which is the answer to 42/7.

The model to represent 42/7 is shown in the image attached,

What is the model

A "model" is a representation or abstraction of a system, concept, process, or phenomenon that helps us understand, predict, or explain how things work or interact.

In this image representation, each number  represents one-seventh of the whole. One can shade in six of them to represent 42/7.  In a more technical context,  precise methods of representing fractions, such as using mathematical notation or diagrams is used.

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If f(1)=6 and f(n) = F(n - 1) + 2 then find the value of f(4).

Answers

Hi there!

[tex]\large\boxed{f(4) = 12}[/tex]

We know that:

f(1) = 6

F(n) = F(n - 1) + 2 (Meaning, the next "n" is 2 added to the previous)

We can count up to f(4) using this logic:

f(2) = F(2 - 1) + 2 = F(1) + 2 = 6 + 2 = 8

f(3) = F(2) + 2 = 8 + 2 = 10

f(4) = F(3) + 2 = 10 + 2 = 12

What is the value of this expression?

4(610−15)+0.4

Answers

2380.4 is the answer using PEMDAS

Answer:

Work the bracket first

610 - 15 = 595

multiply by 4

595 x 4 = 2380

add 0.4

final answer is 2380.4

show that x2-8x+20 can be writtern in the form (x-a)2 +a where a is an interger
and explain how you know x2-8x+20 is always positive

Answers

Answer:

The answer is . (x-4)²-11.

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!!!!!

y = (x - 5) (x + 2) , when x=3

Answers

Answer:

-10

Step-by-step explanation:

y = (x - 5) (x + 2)

y = (3 - 5) (3 + 2)

y= (-2) (5)

y= -2 x 5

y= -10

At a local bodega, the cost of a bag of chips at the corner store is $1.35, and the cost of a bottle of soda is $0.85. What would it cost to get 5 bags of chips and 7 bottles of soda? What would it cost to get xx bags of chips and y bottles of soda?

Answers

Using a system of equation to represent the scenario described, the cost is purchase made is $12.70

Cost per bag of chip = $1.35 Cost per bottle of soda = $0.85

Cost of 5 bags of chips and 7 bottles of soda :

5(1.35) + 7(0.85) = $12.70

The cost of x bags of Chips and x bottles of soda can be expressed thus :

1.35x + 0.85y

Therefore, the cost of x and y bags of Chips and soda respectively is 1.35x + 0.85y

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NO LINKS OR ASSESSMENT!!!

Part 2: State the Domain and Range of each graph in BOTH inequality and interval notation​

Answers

Domain = set of input value

Range = set of output values

#1Domain: -2 < x ≤ 2 or (-2, 2]Range:    -4 < y ≤ 4 or (-4, 4]#2Domain: -5 ≤ x ≤ 1 or [-5, 1]Range:    -1 ≤ y ≤ 5 or [-1, 5]#3Domain: -4 < x < 4 or  (-4, 4)Range:    -1 ≤ y < 3 or  [-1, 3)

Evaluate and reduce:
-12/16+(11/12)

Adding and subtracting

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

-12/16 + (11/12)

-3/4 + 11/12

Take LCM

-3 × 6/4 × 6 + 11 × 2/12 × 2

-18/24 + 22/24

-18 + 22/24

4/24 = 1/6

Thus, The answer is 1/6

-TheUnknownScientist 72

how do i prove similarities of 2D shapes through sides

Answers

Answer:

i dont know hshshshsuojvw

solve pls brainliest

Answers

So yes Bc of the things that those Bc of all that

Answer:

Part a: Add 360 to -168, which is , to get 192 ft.

Part b: Subtract -168 from -132, to get -300 ft.

Hope this helped :)

Write the equation in standard form.

5−3(x−2y)=1−5x

x - y = 2
2x - 3y = -4
x + 3y = -2
2x - 2y = 4

Answers

Answer:

ik this is last but the answer is c

Step-by-step explanation:

just took the test

The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) = 4x3 + 10x2 + 54x + 520, where x represents the number of years since the store opened. The amount of types of candy can be modeled by the linear function T(x) = 2x + 10. Which expression represents the amount of candy sold each year per type at Cassandra's Candy Corner?
2x^2 – 5x + 52
2x^2 + 5x + 52
4x^3 + 10x^2 + 52x + 510
4x^3 + 10x^2 + 56x + 530

Answers

Using polynomial division, it is found that the expression that represents the amount of candy sold each year per type at Cassandra's Candy Corner is:

[tex]2x^2 - 5x + 52[/tex]

The amount of candy sold per type is given by the following division:

[tex]\frac{C(x)}{T(x)} = \frac{4x^3 + 10x^2 + 54x + 520}{2x + 10}[/tex]

The denominator can be written as:

[tex]2x + 10 = 2(x + 5)[/tex]

At the numerator, to see if we can simplify, we verify if x = -5 is a factor:

[tex]C(-5) = 4(-5)^3 + 10(-5)^2 + 54(-5) + 520 = 0[/tex]

Since C(-5) = 0, it is a factor of the numerator, and thus, since the numerator is of the 3rd degree, it can be written as a 3 - 1 = 2nd degree polynomial multiplying x + 5:

[tex](ax^2 + bx + c)(x + 5) = 4x^3 + 10x^2 + 54x + 520[/tex]

[tex]ax^3 + (5a + b)x^2 + (5b + c)x + 5c = 4x^3 + 10x^2 + 54x + 520[/tex]

Equaling both sides:

[tex]a = 4[/tex]

[tex]b = 10 - 5a = -10[/tex]

[tex]5c = 520 \rightarrow c = 104[/tex]

Thus:

[tex]C(x) = (4x^2 - 10x + 104)(x + 5)[/tex]

And:

[tex]\frac{C(x)}{T(x)} = \frac{(4x^2 - 10x + 104)(x + 5)}{2(x + 5)} = 2x^2 - 5x + 52[/tex]

Thus, the expression is:

[tex]2x^2 - 5x + 52[/tex]

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1) Choose the best answer.
To solve an equation, you must
which means you must perform
whatever operations are necessary so that the variable appears by itself on one side of
the equation but not on the other side.
A.use substitution
B.isolate the variable
C.check your answer
D.apply the Symmetric Property of Equality

Answers

B to solve for a variable you must isolate the variable so it’s alone on one side of the equation

The process of isolating the variable is the primary step involved in solving an equation.

Thus, option (B) is correct.

A) Substitution refers to the act of replacing a variable with a known value in an equation, which can be a useful strategy in some cases but is not a fundamental step in solving equations.

B) To solve an equation, it is necessary to perform operations that isolate the variable on one side of the equation and keep the other side free of the variable.

C)To verify if the obtained solution satisfies the original equation, but it is not a step required to solve the equation.

D) It states that if a = b, then b = a.

It is a property that allows us to interchange the positions of two equal expressions in an equation but is not directly related to solving equations.

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The median annual salary for travel agents is P300,000. If the 80th percentile for the annual salary of a travel agent is P500,000, approximately what percent of the travel agents have annual salaries less than P300,000?

Answers

Using the percentile concept, it is found that 50% of travel agents have annual salaries less than P300,000.

In a data-set, if a measure is at the xth percentile, x% of the measures are less than x.The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the median is of P300,000, and thus, 50% of travel agents have annual salaries less than P300,000.

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2. Do the equations zx + 2 = 6
and }(x + 2) = 6 represent the same situation?


Answers

Step-by-step explanation:

zx+2=6

x+2=6

x=6-2

x=4

If x is 4 then

4z+2=6

4z=6-2

4z=4

divide thru by 4

z=1

Please help me on my homework

Answers

the correct answer is $948

Use the given conditions to write an equation for the line in​ point-slope form and in​ slope-intercept form. Passing through (2,2) with​ x-intercept 5

Answers

Answer y-2=-2/3(x-2) and y=-2/3x+10/3
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