Match the following equations to the correct property that is being used.
7+(13+4)=(7+13)+4
8(x+3)=8(x)+8(3)
5×7×3=7×5×3
(7+x)3=3(7)+3(x)
The choices are associative property, distributive property, and communitive property.

Answers

Answer 1

#1

[tex]\\ \sf\longmapsto 7+(13+3)=(7+13)+4[/tex]

It satisfies a+(b+c)=(a+b)+c

Associate property

#2

[tex]\\ \sf\longmapsto 8(x+3)=8x+8(3)[/tex]

It satisfies a(b+c)=ab+ac

Distributive property.

#3

[tex]\\ \sf\longmapsto 5(7)(3)=7(5)(3)[/tex]

It satisfies abc=cba

Commutative property

#4

[tex]\\ \sf\longmapsto 3(7+x)=3(7)+3x[/tex]

Distributive property

Related Questions

Can anyone help me pls?​

Answers

Answer:

a. What is asked: How many miles did she ride on Monday and Tuesday together?

b. What are the given facts: On Monday, she rode 1/5 of a mile, and on Tuesday she rode 2/5 of a mile.

c. What is the operation to be used: Addition

d. What is the number sentence: 1/5 + 2/5

e. What is the solution: 1/5 + 2/5 = 3/5

f. What is the complete answer: 3/5 of a mile

ATMOSPHERIC SCIENCE The troposphere extends from the Earth's surface to a height of 6-12 miles, dependin
on the location and the season. If a plane is flying at an altitude of 5.8 miles, and the troposphere is 8.6 miles deep in
that area, how much higher can the plane go without leaving the troposphere?

Answers

Answer:

2.8 Miles

Step-by-step explanation:

You subract 5.8 from 8.6 to get the answer.

determina la ecuacion de la recta cuyas intersecciones con los ejes x e y se indican respectivamente A(7,0) Y B (0, -4)

Answers

Answer:

y = 4/7 - 4

Step-by-step explanation:

Slope = (-4-0) / (0 - 7) = -4/-7 = 4/7

y-intercept: -4 - (4/7)(0) = -4

I need a little help here ASAP!!!!! PLZZ!!!!!

Answers

Answer:

471.24

Step-by-step explanation:

Answer:

A= 471.24

Step-by-step explanation:

The formula for the surface area of a cylinder is

[tex]A=2\pi rh+2\pi r^2[/tex]

What we know is

Radius = 5 inHeight = 10 in

Using these numbers, we can know plug them into the formula.

[tex]A=2\pi (5)(10)+2\pi(5)^2[/tex]

Simplify

[tex]A= 100\pi + 50\pi[/tex]

[tex]A= 150\pi[/tex]

[tex]A= 471.24[/tex]

If using the method of completing the square to solve the quadratic equation
x2 + 5x – 21 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 5x – 21 = 0

First make sure the (a) term = 1... It is.

Get (c) to zero or blank by adding or subtracting as needed.

x² + 5x – 21 + 21 = 0 + 21

x² + 5x       = 21

Add the square of half of the b term to each side

x² + 5x + (5/2)² = 21 + (5/2)²

x² + 5x + (5/2)² = 27.25

rewrite the left side as a square

(x + 2.5)² = 27.25

square root of each side

x + 2.5 = ±√27.25

isolate x

x = -2.5 ±√(27.25)

x ≈ 2.72 or -7.72

Answer:

[tex]\frac{25}{4}[/tex] = 6.25

Step-by-step explanation:

x² + 5x - 21 = 0 ( add 21 to both sides )

x² + 5x = 21

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] = 21 + [tex]\frac{25}{4}[/tex]

(x + [tex]\frac{5}{2}[/tex] )² = [tex]\frac{109}{4}[/tex]

What is the value of the expression when a = 5 and b = 2?

Answers

2a + b - 32(5) + 2 - 310 + 2 - 312 = 9

\the picture is up there

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Hello!

TO find the root all you gotta do is 3x3 which gives you 9

Find the sale price of the item. Round to two decimal places if necessary. Original price: $85.00 Markdown: 33% The sale price is $ .

Answers

Answer:

the marked down price is 56.95

Step-by-step explanation:

In a group of 48 chilldren there are three times as many boys as girls how many girls are there?

Answers

Answer:

12 girls

36 boys

Step-by-step explanation:

Answer:12 girls

Step-by-step explanation:

3 Shares boys (Due to it being 3 times more) 1 Share girls

3 Shares boys + 1 Share girls= 4 Shares

48 / 4 Shares = 12

Girls are 1/4 of the 48

so there are 12 girls

what kinds of triangles can you use the pythagorean theorem on

Answers

Answer:

Step-by-step explanation:

The Pythagorean theorem applies to right angled triangles only.

However, for any other triangle, by dropping a perpendicular from any vertex on to the opposite side, you form two right angled triangles both of which can be solved by the Pythagorean theorem.

So, the Pythagorean theorem applies to right angled triangles directly and to other triangles indirectly.

9514 1404 393

Answer:

  right triangles

Step-by-step explanation:

The Pythagorean theorem relates the side lengths of a right triangle.

  c² = a² +b² . . . . . . . . for legs 'a' and 'b' and hypotenuse 'c'

__

Additional comments

The more general form of the relation between side lengths of a triangle is given by the Law of Cosines:

  c² = a² +b² -2ab·cos(C) . . . . for sides 'a', 'b', and 'c' with angle C opposite side 'c'

You will notice this reduces to the Pythagorean relation when C = 90°.

__

Triples of integers that satisfy the Pythagorean relation are called Pythagorean triples. The smallest set (and the only sequential set) of these is (a, b, c) = (3, 4, 5). Other triples commonly seen in math problems are (5, 12, 13), (7, 24, 25), (8, 15, 17), and multiples of these.

Determine the number and type of solutions for the equation – 5x2 + 192 — 12 = 0
O two different rational-number solutions
O One repeated irrational-number solution
O One repeated rational-number solution
OTwo imaginary-number solutions
O two different irrational-number solutions

Answers

It is mathamatics 1091

please help i'll mark brainliest​

Answers

Answer: m∠1 = 90°

Step-by-step explanation:

Can anybody help me on this question? Will give brainiest

Answers

Answer:

273ft²

Step-by-step explanation:

Fabric needed

= 2([tex]\frac{1}{2}[/tex]×7×6) + 3(7×11)

= 42ft² + 231ft²

= 273ft²

Stellan began a proof.

JL=KM because segment JL≅ segment KM.
JK+KL=JL and KL+LM=KM, by the segment addition postulate.
KL+LM=JL, by substituting JL for KM.

What is a possible next step in Stellan's proof?

Answers

Answer:

Bottom left

Step-by-step explanation:

Trust me bro

Given that angle a = 54° and angle b = 48°, work out x.
a
b
x
The diagram is not drawn accurately.
=

PLEASE HELP ASAP!! 20 POINTS!!

Answers

Answer:

a+b+x=180,sum of angles in a triangle

54+48+x=180

102+x=180

x=180-102

x=78

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x=1, y=10

Step-by-step explanation:

we use substitution to get from the bottom equation that y=12-2x,

plug that into the first equation to get 5x+12-2x=15

combining like terms and cancelling, we get 3x=3

so x=1,

substituting that into the former equation gives us y=10

The answer would be:
x=1
y=10

Just tell me if you want me to show process steps!

Decide whether the given number is a solution of the given equation.
Is - 7 a solution of x + 12 = 19?

Answers

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

[tex]x=7[/tex]

-7 is not a solution for [tex]x+12=19[/tex]

Step-by-step explanation:

[tex]x +12 = 19[/tex]

Subtract 12 from both sides

[tex]x = 19-12[/tex]

Subtract 12 from 19 to get 7

[tex]x = 7[/tex]

It would be -7 if it was [tex]-x+12=19[/tex]

6.
Write an equation for each translation of y = |x| .

5.5 units right

A. y = | x | + 5.5

B. y = | x | – 5.5

C. y = | x – 5.5 |

D. y = | x + 5.5 |

Answers

Answer:

C. y = | x – 5.5 |

Step-by-step explanation:

y = f(x) + n - moves the graph n units up

y = f(x) - n - moves the graph n units down

y = f(x + n) - moves the graph n units to the left

y = f(x - n) - moves the graph n units to the right

5.5 units to the right

y = f(x - 5.5) = |x - 5.5|

...................................................................................................................................................

Which has the greater surface area? A 6-centimeter cube or a rectangular prism with a 3
centimeter square base and a height of 12 centimeters?

Answers

Answer: 6 centimeter cube

Step-by-step explanation: Based on wideness.

4% ( 3+z)= 6/5
what is z?

Answers

Answer:

1/12

Step-by-step explanation:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

please help me, i will mark the brainliest pls!

Answers

Answer:

2x9 + 2x3

Step-by-step explanation:

You distribute the 2 to the other terms (9 and 3) in the brackets.

The cost for a ticket to a play changes based on where
the seat is located. The $225 front-row seats cost three
times as much as a balcony seat. How much do four
balcony seats cost?
$224
$300
$450
$900

Answers

Answer:

$300

Step-by-step explanation:

Front row: $225

Front row = 3 * balcony

225 = 3 * balcony

balcony = $225/3 = $75

One balcony ticket costs $75.

4 balcony seats = 4 * $75 = $300

Answer: $300

Which congruence theorem can be used to prove △ABC ≅ △DBC?

Answers

Answer:

SAS

Step-by-step explanation:

Hope this helps :)

a bag of candy contains 5 purple jolly rangers 8 blue jolly rangers 6 red jolly rangers what is the ratio of purple jolly rangers to blue or green jolly rangers​

Answers

Answer:

purple to blue -   5:8

I think you meant green is red

purple to red -     5:6

Step-by-step explanation:

Amina and sara have £240 between them. they share the money 3:5. How much does Amina recieve?

(2 marks)

Answers

Answer:

90

Step-by-step explanation:

add the ratio 3+5 to get 8

amina received 3/8 of 240

perform the calculation 3/8×240

240/8=30. , 30×3=90

A rental car agency charges $210.00 per week plus 0.25 per mile to rent a car. How many miles can you travel in one week for $347.00

Answers

Answer:

548 miles

Step-by-step explanation:

O.25m + 210 = 347

0.25m = 347 - 210

0.25m = 137

m = 137/0.25

m = 548

What is the Slope of the line that passes through points (4.-2) and (3, 1)?

A 2.
B 3
C -2
D -3​

Answers

Step-by-step explanation:

x1=4,x2=3,y1=-2,y2=1

slope= (y2-y1)/(x2-x1)=(1+2)/(3-4)=-1/3

Answer:

Option D. slope = -3

Step-by-step explanation:

[tex]m=\frac{1-(-2)}{3-4} =\frac{3}{-1} =-3[/tex]

Hope this helps

1. There are 150 apple and peach trees altogether on a farm. The number of peach tree is 30 more than the number of apple trees. How many apple trees are there? How many peach trees are there?​

Answers

Answer:

There are 90 peach trees and 60 apple trees

Step-by-step explanation:

pls help me i need the answer if nonsense answer:report
if correct answer:mark as branliest​

Answers

Solution:

[tex]1. {3}^{2} + {2}^{3} \\ = 9 + 8 \\ = 17[/tex]

[tex]2. {5}^{3} + {2}^{4} \\ = 125 + 16 \\ = 141[/tex]

[tex]3. {2}^{0} + {5}^{0} + {6}^{0} \\ = 1 + 1 + 1 \\ = 3[/tex]

[tex]4.1000 - {10}^{2} \\ = 1000 - 100 \\ = 900[/tex]

[tex]5. {3}^{3} - {2}^{3} \\ = 27 - 8 \\ = 19[/tex]

[tex]6. {5}^{2} - {3}^{2} \\ = 25 - 9 \\ = 16[/tex]

[tex]7. {10}^{2} - {10}^{0} \\ = 100 - 1 \\ = 99[/tex]

[tex]8. {2}^{4} \times {3}^{2} \\ = 16 \times 9 \\ = 144[/tex]

[tex]9. {10}^{3} - {5}^{2} \\ = 1000 - 25 \\ = 975[/tex]

[tex]10. {7}^{2} \times {2}^{2} \\ = 49 \times 4 \\ = 196[/tex]

Hope it helps.

Do comment if you have any query.

9. Jorge ran 15 miles in 3 1/2 hours. What was his rate in miles per hour?​

Answers

4.28 miles per hour
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