Answer:
Line 1: (9+x)x
Line 2: x(9 + x)
The order of multiplies changed.
This is called a Commutative Property of Multiplication.
ab = ba or(9 + x)x = x(9 + x)Line 3: x(x+9)
The order of added terms within parenthesis changed.
This is called a Commutative Property of Addition.
a + b = b + a9 + x = x + 9Line-1 to Line 2- Commutative property of multiplication
Line-2 to Line-3 =Commutative property of addition
Lets solve
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x^2+9x[/tex]
mr tan is 42 years old and mrs tan is 44 years old now. they have 3 children who are 7 years, 5 years and 2 years old now. in how many year time will the sum of mr and mrs tan's age be 4 times of the sum of their 3 children's age
Answer:
3 years
Step-by-step explanation:
let the number of years required be x
hence
42+x+44+x = 4(7+x+5+x+2+x)
86+2x = 4(14+3x)
86+2x = 56+12x
2x-12x = 56-86
-10x = -30
x = 3
How does the value of the 9 in 49.21 compare to the value of the 9 in 982.3?
47.16 to the nearest tenth
Answer:
47.2
Step-by-step explanation:
un móvil a recorrido 2,4 km en 10 minutos hallar la velocidad del móvil en metros por segundo
Answer:
4.16 m/s
Step-by-step explanation:
Speed = Distance/Time
= 10/2.4
= 4.16 m/s
Somebody please help me solve this question. If possible with the explanation as well. Calculate
| 1-x^2 | > 1/2
Answer:
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Step-by-step explanation:
|1 - x^2| > 1/2
~Apply absolute value rule
1 - x^2 < -1/2 or 1 - x^2 > 1/2
~Simplify
x < -√3/2, x > √3/2, or -√1/2 < x < √1/2
Best of Luck!
If standard 6-sided dice are placed side-by-side touching in a single row on a table, only some of the faces will show. With 3 dice in a row, 11 faces are visible. If there were 2010 dice arranged in such a way, how many face could be seen?
d.l FM ffl ffl go go ttb unm ex in ex in esx i.v ex i.v ex uhc ex i.v ex i.v ex i.v ex i.v dad i.v esx in ex in ex i.v ex in ex i.v TV r.c 6 ex ow egg i.v razz ugh d
Which of the following is the conjugate of a complex number with 2 as the real part and −4i as the imaginary part? (6 points)
2 − 4i
2 + 4i
−4i − 2
4i − 2
the answer would be B.
2 + 4i goodluck !! :))
Answer is B because it makes the most sense
Wat is the Rational number four 3/11
Answer:
the rational numbers is 3
please help i added 39 points :) but i dont understand this so yeah
Answer:
3 - 5 - 7 - 11 - 12Step-by-step explanation:
Given data:
3, 5, 5, 6, 6, 8, 9, 11, 11, 12The 5-number summary is:
Q1 = minimum of data = 3Q2 = median of lower half = 5Q3 = median of data = (6 + 8)/2 = 7Q4 = median of upper half = 11Q5 = maximum of data = 12Find the solution for
h - 12 =6
Answer:
H-12=6
H−12+12=6+12
h=18
Answer:
h=18
Step-by-step explanation:
h-12=6
is the normal eqaution, you need to determine the value of h, on the left side of the eqaution you have negative twelve we must get the h on its own by moving the 12 to the right side using of basic math rules you must know that when you have a negative and want to move it to the right hand side it must become a positive
so in formula it wil look like this
h = 6 + 12
Add up 6 with 12 that wil give you 18
so the value of h is then 18
h = 18
2/5 over 2/3, I don't understand
Answer:
it basically means 2/5 divided by 2/3. The answer comes out to approximately 1.067
Step-by-step explanation:
In other words (2÷5) ÷ (2÷3)
Hope that answers your question!
Help Help Help Help Help Help
Answer:
what happened are you OK
Please help me with my homework.
Answer:
-3x + 6
Step-by-step explanation:
-3(x - 2) to find the equivalent of this expression, we need to multiply inside the parenthesis with -3 (with both x and -2)
-3(x - 2 = -3x + 6 (two negative expressions multiplied results in positive)
multiply the fraction 5/6 to the decimal 2.4
Answer:
answer is 2. thank you. have a nice day
When the sum of the internal angles of a polygon is 10 right angles, then how many sides does it have?
Answer:
7
Step-by-step explanation:
Let's say our sum is s.
s = 10 right angles
a right angle is 90 degrees
s = 10 (90)
s= 900
Given the amount of sides in a polygon (n), the sum of the interior angles is equal to
(n-2) * 180
Therefore, the sum of the interior angles is equal to
(n-2) * 180 = 900
divide both sides by 180 to help isolate n
n-2 = 5
add 2 to both sides to isolate n
n = 7
Find (f o g)(x)
Consider f(x) = x + 7 and g(x) = x2 –1
Work Shown:
(f o g)(x) = f(g(x))
f(x) = x + 7
f( g(x) ) = g(x) + 7 ... replace every x with g(x)
f( g(x) ) = x^2-1 + 7 .... plug in g(x) = x^2-1
f( g(x) ) = x^2 + 6
(f o g)(x) = x^2 + 6
How many angles does this shape have?
Answer:
6 angles.
Step-by-step explanation:
This shape is a hexagon, since it has 6 sides. And because it has 6 sides, it has 6 vertexes, also known as angles.
Hope this helps!
The area of a rectangle is 77 yd square, and the length of the rectangle is 3 yd more than twice the width. Find the dimensions of the rectangle.
Length :
Width :
Answer:
Length = 14 yd
Width = 5.5 yd
Step-by-step explanation:
Let width = x and length = 2x + 3
The formula for area is length x width.
(2x + 3) ( x ) = 77
2x² + 3x - 77 = 0
-77 x 2 = -154
What two numbers multiply to -154 and add to 3?
2x² + 14x - 11x - 77 = 0
2x (x + 7) - 11 (x + 7) = 0
(2x - 11) (x + 7) = 0
x = -7 (this isn't possible so ignore it)
x = 5.5 (width)
Now insert 5.5 into the initial equation.
2 (5.5) + 3 =
11 + 3 = 14
Answer:
Length is 3
width is 25•66
Step-by-step explanation:
Hope it helps!
Thanks.
What is 3/10 as a decimal?
Answer:
[tex]0.3[/tex]
Step-by-step explanation:
[tex]3 \div 10 = 0.3[/tex]
Answer: 0.3
Step-by-step explanation:
Find the area of this rectangle.
8 cm
4 cm
? ] = square centimeters
Answer:
32 cm²
Step-by-step explanation:
Area of rectangle
= length × breadth
= 8 cm × 4 cm
= 32 cm²
HELP PLEASE!! (Look at the picture)
9514 1404 393
Answer:
C. 60%
Step-by-step explanation:
Of the 5 bowls listed, bowls 2 and 4 are out of the allowed tolerance range. That leaves 3 of the 5 bowls that can be used.
3/5 × 100% = 60% . . . fraction of bowls that can be included
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
C. 3x²-12x+y
Step-by-step explanation:
2x − 6y + 3x² + 7y − 14x =
3x²+2x-14x-6y+7y =
3x²-12x+y
6abc2 + 6a2bc
A=1
B=2
C= -3
[tex]\\ \rm\longmapsto 6abc^2+6a^2bc[/tex]
[tex]\\ \rm\longmapsto 6(1)(2)(-3)^2+6(1)^2(2)(-3)[/tex]
[tex]\\ \rm\longmapsto 12(9)+6(-6)[/tex]
[tex]\\ \rm\longmapsto 108-36[/tex]
[tex]\\ \rm\longmapsto 72[/tex]
Janice is building a model volcano for the science fair. To find the right ratio, she starts by mixing small amounts of baking soda and vinegar. She finds that adding 1.5 teaspoons of baking soda for every fluid ounce of vinegar produces the best eruption. If Janice plans to us 0.5 cups of vinegar for her project, how many tablespoons of baking soda should she use?
Answer:
6 tablespoons of baking soda
Step-by-step explanation:
There are 8 fluid ounces in 1 cup and shes going to use half a cup so that means shes going to use 4 fluid ounces of vinegar. To find how much baking soda she is going to use, we are going to multiply.
1.5 * 4 = 6
Best of Luck!
Answer:
3 Tablespoons, 6 teaspoons
Step-by-step explanation:
In order to find the right ratio of Baking Soda to Vinegar we have to find ratio given,... they tell us that for every 1.5 teaspoon of baking soda, you must add 1 fluid ounce or vinegar,... thus the ratio of Baking Soda to Vinegar is (1.5 teaspoon / 1 Fluid ounce)
There are:
3 teaspoons = 1 Tablespoons
8 fluid ounces = 1 cup
So if you use 0.5 cups of Vinegar as they tell us we do than that is the same thing as using 4 Fluid ounce, and because your problem say 1.5 teaspoon of baking soda for every Fluid ounce of vinegar all you have to do it multiply your 1.5t by your 4 to get how many teaspoons of Baking Soda you will need,...
1.5 * 4 = 6
You need 6 teaspoons or 3 Tablespoons,...
Hope that helps,... and I'll see you in life,... well not, literally, but you get what I mean,... Chow!
Chris owes $17,000 to a bank. The debt grows with 8% annual interest that compounds every year. How
much will Chris owe in one year?
A. 18,014
B. 18,242
C. 18,360
D. 18,557
Answer:
18360
Step-by-step explanation:
A = P (1 + r/n)^(nt) where A is the amount in the account, P is the principle, r is the interest rate , n is the times compounded per year, t is the number of years
A = 17000 (1 + .08/1)^(1*1)
A = 17000( 1.08)^1
A = 18360
interest
[tex]\\ \rm\longmapsto 17000\times 8\%[/tex]
[tex]\\ \rm\longmapsto 17000\times \dfrac{8}{100}[/tex]
[tex]\\ \rm\longmapsto 170(8)[/tex]
[tex]\\ \rm\longmapsto 1360[/tex]
Total[tex]\\ \rm\longmapsto 17000+1360=18360[/tex]
Option C is correct
Comparing Values Compare the values of the underlined digits. 1. The 4 in 3,492 and the 4 in 704
9514 1404 393
Answer:
4 in 3492 is 100 times 4 in 704
Step-by-step explanation:
To find the value of a particular digit, set the other digits to zero.
4 in 3492 = 400
4 in 704 = 4
The first 4 is 100 times the value of the second 4.
A farmer performs a cross between two species of flowers and expects a distribution of 25% red, 50% pink, and 25% white flowers. Out of 224 flowers, the following numbers of red, pink, and white flowers were observed. Calculate the expected number of each type of flower.
Answer:
the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56
Step-by-step explanation:
Give the degree of the polynomial.
Answer:
7
Step-by-step explanation:
pretty sure its seven
Tamara rode her bicycle 8 miles in 0.5
hours. What was the average rate that
she rode her bicycle in miles per hour?
pls give me the step by step
Answer:
16 miles per hour (mph)
Step-by-step explanation:
Okay, so the beginning of the question states that Tamara rode her bicycle 8 miles in 0.5 hours.
0.5 is equivalent to 1/2 (one-half).
This means that she rode 8 miles in just half of an hour (30 minutes).
If she continues at this rate, she will have rode another 8 miles in the next 30 minutes.
And, 8 + 8 = 16.
Therefore, the average rate that she rode her bicycle is 16 miles per hour (mph).
Let me know if you have any questions.
BRAINLEST IF CORRECT!!!!
Answer: x = 5
Step-by-step explanation:
Given information
The combined angle is a right angle meaning it is 90°
Angle 1 = 8x°
Angle 2 = 50°
Set equation
Angle 1 + Angle 2 = Total angle
Substitute values into the equation
8x + 50 = 90
Subtract 50 on both sides
8x + 50 - 50 = 90 - 50
8x = 40
Divide 8 on both sides
8x / 8 = 40 / 8
x = 5
Hope this helps!! :)
Please let me know if you have any questions