Evaluate the expression using the Commutative and Associative properties of numbers.
Name the property used in each step.
13 + 23 + 12 + 7
Answers
Given:
The expression is:
[tex]13+23+12+7[/tex]
To find:
The value of the given expression by using Commutative and Associative properties of numbers.
Solution:
We have,
[tex]13+23+12+7[/tex]
Applying parenthesis and brackets, we get
[tex]=[13+(23+12)]+7[/tex]
[tex]=[13+(12+23)]+7[/tex] [Commutative properties of numbers]
[tex]=[(13+12)+23]+7[/tex] [Associative properties of numbers]
[tex]=(25+23)+7[/tex]
Using Associative properties of numbers, we get
[tex]=25+(23+7)[/tex] [Associative properties of numbers]
[tex]=25+30[/tex]
[tex]=55[/tex]
Therefore, the value of the given expression 55.
Related Questions
What is the product?
(5r − 4)(r2 − 6r + 4)
5r3 − 34r2 + 44r − 16
5r3 − 4r2 + 14r − 16
5r3 − 6r − 16
5r3 + 10r − 16
Answers
Answer:
5r³ - 34r² + 44r - 16
Step-by-step explanation:
[tex] \small \sf \: (5r − 4)(r² − 6r + 4)[/tex]
use the distributive property
5r × (r² − 6r + 4) - 4× (r² − 6r + 4)
5r³ - 30r² + 20r - 4r² + 24r - 16
combine like terms
5r³ - 30r² - 4r² + 20r + 24r - 16
5r³ - 34r² + 44r - 16
The product of the expressions is 5r^3 - 34r^2 + 44r - 16
What is a product?The product of two expression is done by multiplying the expressions
The product expression is given as:
[tex](5r - 4)(r^2 - 6r + 4)[/tex]
Expand the expression
[tex]5r^3 - 30r^2 + 20r - 4r^2 + 24r - 16[/tex]
Collect like terms
[tex]5r^3 - 30r^2 - 4r^2 + 20r + 24r - 16[/tex]
Evaluate the like terms
[tex]5r^3 - 34r^2 + 44r - 16[/tex]
Hence, the product of the expressions is 5r^3 - 34r^2 + 44r - 16
Read more about product at:
https://brainly.com/question/4344214
Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|
Answers
Answer:
See Explanation
Step-by-step explanation:
a) Additive inverse of −2
the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.So the Additive inverse of -2 is 2. ∴ -2+2=0b) Additive identity of −5
Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number. -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.c) additive inverse of 3
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.d). multiplicative identity of 19
an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multipliedMultiplicative identity if 19 is 1 only, since 19 x 1 = 19.e) multiplicative inverse of 7
Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.d) | 11-5|×|1-5|
| 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24Which is the correct expansion of (3x+2)(3x^2+4)
Answers
Answer:6x + 3x^2 +4
depending on what your on
Step-by-step explanation:
Answer:
9x^3 + 6x ^2 + 12x + 8
Step-by-step explanation:
Do each individually.
First (3x^2)(3x) = 9x^3
Then (3x^2)(2) = 6x^2
Then (3x)(4) = 12x
Then (4)(2) = 8
Finally add everything together, since everything has a different exponent, then just combine like I have above.
plz help me I will give u branist and follow u and also give u like plz help me
Answers
Answer:
2166.53
Step-by-step explanation:
a = 10,000(1.04)⁵
a = 12,166.53
12,166.53 - 10,000 = 2166.53
PLEASE HELP THANK YOU
Answers
Answer:
74 deg
Step-by-step explanation:
Ok, so this is a bunch of steps.
A farmer uses 1/3 of an acre of land to grow carrots.
The carrots are grown in
There are 15 rows of carrots.
What part of land does each row of carrots take up?
Answers
Answer:
the answer is 1/45
Step-by-step explanation:
just use the proportion method
Geometry
> * B.11 Distance formula 59F
Find the distance between the points (3, -6) and (9, -3).
Write your answer as a whole number or a fully simplified radical expression. Do not
units
Submit
Answers
Answer:
D = 3 √5 units
Step-by-step explanation:
Here, we want to find the distance between these two points
to get this, we use the distance formula as follows
D = √(x2-x1)^2 + (y2-y1)^2
so we have for (3,-6) and (9,-3)
D = √(3-9)^2 + (-6 + 3)^2
D = √(36 + 9)
D = √(45)
D = 3√5 units
ok pls help i’m so bad at this
Answers
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Answer:
6,068
Step-by-step explanation:
the length of the segment AB is 7.7*sin(52°) = 6,068
Step-by-step explanation:
What value of m makes the equation 8am/4a5=2a6 true?
Answers
Answer:
m = 11
Step-by-step explanation:
11 - 5 = 6
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answers
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
Make 'r' the subject of this formula: 3r - 5 = p
Answers
Answer:
hey I am not about what the question says but I think this is the answer:
3r=p+5
so the subject is 3r
3r = p + 5
r = p + 5/3
9.03 which number is in the tenths place
Answers
Answer:
0
Step-by-step explanation:
think of the decimal as one
Answer:
Step-by-step explanation:
Zero (0) is in the tenths place here.
Please help! What is the division problem represented by this model?
Answers
Answer:
the answer is 42/100
42 blocks are shaded out of 100
A cyclist travels 7 km from home to the park.
She leaves home at 17:40 and arrives at the park at 17:55.
What is her average speed in km/h?
Answers
Answer:
28 km per hour
Step-by-step explanation:
First determine the amount of time that the trip took
17:55 - 17:40 = :15 or 15 minutes
We need the time in hours
15 minutes * 1 hour/ 60 minutes = 15/60 hours = 1/4 hours
To determine speed, take distance and divide by time
7 km ÷( 1/4 hours)
Copy dot flip
7 * 4/1
28 km per hour
The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass
Answers
Answer:
527 grams
Step-by-step explanation:
Use the density formula, d = m/v
Plug in the density and volume, then solve for m (mass):
d = m/v
0.85 = m/620
527 = m
So, the mass is 527 grams
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
Math item stem image
CLEAR SUBMIT
97 muffins
100 muffins
101 muffins
120 muffins
Answers
Answer:
120 muffins
Step-by-step explanation:
If The Bake Shop makes 24 muffins in one hour and we need to find out how many muffins will the bake make in five hours, we need to multiply 24 times 5 which would equal 120 muffins in five hours.
Hope this is helpful
What is the inverse of the function f(x) = x +3?
Answers
Answer:
The inverse is x-3
Step-by-step explanation:
y = x+3
To find the inverse, exchange x and y
x = y+3
Solve for y
x-3 = y+3-3
x-3 =y
The inverse is x-3
Answer:
x - 3
Step-by-step explanation:
f(x) = x + 3
y = x + 3
x = y - 3
Inverse is h(x) = x - 3
Calculate the circumference of the circles with the following dimensions.
C-circumference
D-diameter
R-radius
P-3.14
1.
D= 4 in
D= 6 in
D=12 in
2.
R= 2 ft
R= 14 ft
R= 12 ft
3.
R= 9 ft
R= 11 ft
R= 7 ft
4.
D= 10 ft
R= 9 ft
D= 13 ft
Answers
Answer:
BELOW
Step-by-step explanation:
1) C= PD so
a) 12.56
b) 18.84
c) 37.68
2) C=2PR so
a) 2*3.14*2= 12.56
b) 2*3.14*14= 87.92
c) 2*3.14*12= 75.36
3) C=2PR so
a) 56.52
b) 69.08
c) 43.96
4)
a) 31.4
b) 56.52
c) 40.82
Select the correct answer.
You're given three angle measurements of 30° 70°, and 80°. How many triangles can you construct using these measurements?
OA 0
OB.
OC 2
OD. infinitely many
Reset
Next
Edmentum. All rights reserved.
Answers
Answer:
infinitely many
Step-by-step explanation:
All triangles that you can construct will be "similar", in that they have the same angles, but different sizes. The angles have to add up to 180, and they do in the measurements that you're given.
can someone pls pls help me?
Answers
9514 1404 393
Answer:
31°
Step-by-step explanation:
The measure of inscribed angle A is half the measure of intercepted arc BC.
∠CAB = 62°/2 = 31°
Which of the following are solutions to the quadratic equation? Check all that
apply.
x2 + 8x + 16 = 7
Answers
Answer:
[tex]x=-4+\sqrt{7}[/tex]
[tex]x= -4-\sqrt{7}[/tex]
Step-by-step explanation:
Quadratic
Make X the subject of the formula
[tex]y = \sqrt{ax + b} [/tex]
Answers
Answer:
[tex]x = \frac{y {}^{2} - b }{a} [/tex]
Step-by-step explanation:
[tex]y = \sqrt{ax + b} \\ y {}^{2} = ax + b \\ ax = y {}^{2} - b \\ x = \frac{y {}^{2} - b }{a} [/tex]
Answer:
x = [tex]\frac{y^2-b}{a}[/tex]
Step-by-step explanation:
Given
y = [tex]\sqrt{ax+b}[/tex] ( square both sides )
y² = ax + b ( subtract b from both sides )
y² - b = ax ( isolate x by dividing both sides by a )
[tex]\frac{y^2-b}{a}[/tex] = x
Which formula gives the coordinates of the midpoint of the segment connecting points (a, b) and (c, d)?
attached below is the options
this is worth 100 points
Answers
Step-by-step explanation:
the correct answer is
a. { ½(c-a), ½(d-b) }
________________
General formula
((x_1+x_2)/2,(y1+y2)/2)So
Here
for (a,b) and (c,d)
Midpoint
((a+c)/2,(b+d)/2)Option A
Solve 6x + 5 = 3x + 14
Answers
Step-by-step explanation:
6x-3x=14-5
3x=9
x=9/3
x=3
Step-by-step explanation:
6x + 5 = 3x + 14
6x - 3x = 14 - 5
3x = 9
x = 9/3
x = 3
What is the value of a in the equation 4a + 3(a + 1) = 24?
A. 2
B. 3
C. 7
D. 21
Answers
Answer:
B. a = 3
Step-by-step explanation:
4a + 3(a + 1) = 24
4a + 3a + 3 = 24
7a + 3 = 24
7a + 3 - 3 = 24 - 3
7a = 21
7a ÷ 7 = 21 ÷ 7
a = 3
Answer:
B
Step-by-step explanation:
Given
4a + 3(a + 1) = 24 ← distribute parenthesis and simplify left side
4a + 3a + 3 = 24
7a + 3 = 21 ( subtract 3 from both sides )
7a = 21 ( divide both sides by 7 )
a = 3 → B
Find the vertex and the axis of symmetry of the graph of f(x) = 1/4(x-6)^2
Answers
Answer:
The vertex of the graph is at (6,0) and the Axis of symmetry is at x= 6
Step-by-step explanation:
The lengths of two sides of a triangle are 4 feet and 7 feet. Which could NOT be the length of the third side?
4
5
7
13
Answers
Answer:
4, 5, and 7
Step-by-step explanation:
Length of two sides are 4 and 7 feet.
Thier sum = 4 + 7 = 11 feet.
We know that, sum of two sides is always larger than the third side.
So, 4, 5, and 7, can not be the third side here.
Answer: 13
Step-by-step explanation: a= 4,
B= 7 a+b= 7+4=11 A+b>C 11>13 does not work so that’s could NOT be the length. there fore the answer is 13
If you borrow $700 for one year at an interest rate of 8% p.a, how much interest will you pay every month?
Answers
Answer:
$4.7 (approx)
Step-by-step explanation:
Simple interest = (principle * time * rate) / 100
please help me answer this
Answers
Answer:
pie
Step-by-step explanation:
Busco amigos o amigas :D