See below for the solution to each expression
How to solve the expressions?Expression 1
The expression is given as:
(x-y)(y-z)(x+z)/(2x^2+4yz+6)
Expand the numerator
(x^2 - y^2 -xz + yz)(x + z)/(2x^2+4yz+6)
Further, expand the numerator
(x^3 - xy^2 - x^2z + xyz + x^2z - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)
Evaluate the like terms
(x^3 - xy^2 + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)
Hence, the equivalent expression of (x-y)(y-z)(x+z)/(2x^2+4yz+6) is (x^3 - xy^2 + xyz - y^2z - xz^2 + yz^2)/(2x^2+4yz+6)
Expression 2
The expression is given as:
4(x+y)(x-y)(y-x)
Apply the difference of two squares
4(x^2 - y^2)(y - x)
Expand the expressions in the brackets
4(x^2y - x^3 - y^3 + xy^2)
Open the bracket
4x^2y - 4x^3 - 4y^3 + 4xy^2
Hence, the equivalent expression of 4(x+y)(x-y)(y-x) is 4x^2y - 4x^3 - 4y^3 + 4xy^2
Expression 3
The expression is given as:
(√25+√9/2) + √21675
Take the square roots of 25, 9 and 21675
(5 +3/2) + 5√867
Evaluate the sum
13/2 + 5√867
Hence, the equivalent expression of (√25+√9/2) + √21675 is 13/2 + 5√867
Expression 4
The expression is given as:
(9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z
Factor out 3 and 2 from the numerator
3(3x^2 +x + 9) * 3(1 + 2y) * 2(2 + 3y)/1+2a+38+4c+2000z
This gives
18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z
The expression cannot be further simplified.
Hence, the equivalent expression of (9x^2+3x+27)(3+6y)(4+6y) /1+2a+38+4c+2000z is 18(3x^2 +x + 9)(1 + 2y)(2 + 3y)/1+2a+38+4c+2000z
Expression 5
The expression is given as:
(x^2+6x+5)/(x+2)(x+6)
Factorize the numerator
(x + 1)(x + 5)/(x + 2)(x + 6)
Hence, the equivalent expression of (x^2+6x+5)/(x+2)(x+6) is (x + 1)(x + 5)/(x + 2)(x + 6)
Expression 6
6) (xy/m) + (xm/y) - (m/x) = 63
Factor out x
x(y/m + m/y) - m/x = 63
Evaluate the sum
x(y^2 + m^2)/y - m/x = 63
Multiply through by xy
x^2(y^2 + m^2) - my = 63xy
Add my to both sides
x^2(y^2 + m^2) = 63xy + my
The above implies that the variable x cannot be isolated from the equation
Read more about expressions at:
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1) Solve 12.5 +8= 27.
What does s=
Answer:
there is no s in the question please explain
Step-by-step explanation:
Answer:
S = 6.5
Step-by-step explanation:
12.5 + 8 = 20.5,
27 - 20.5 = 6.5
therefore s = 6.5
Checking work
12.5 + 8 + s =
12.5 + 8 + 6.5 = 27
A rectangle has a perimeter of 124 units. If the length is 5 more than 2 times the width, what is the width.
Answer:
19 units
Step-by-step explanation:
Perimeter of the rectangle = 124 units
width = x units
length = 5 + 2x units
The perimeter of a rectangle is given by;
P = 2(l + b)
Substituting values;
124 = 2[(5 + 2x) + x]
124 = 2[5 + 3x]
124 = 10 + 6x
124 - 10 = 6x
114 =6x
x= 114/6
x = 19
width = 19 units
There are 560 students in a school.If the ratio of the boys are girls is 4:3,find their numbers.
Answer:
320 / 240 = 4 / 3
Step-by-step explanation:
4 / 7 = x / 560
Cross-multiply:
7x = 2240
Divide by 7:
x = 320
The school has 320 boys and 240 girls.
hope this helps
Answer:
320 : 240
Step-by-step explanation:
4 + 3 = 7
560 / 7 = 80
so 1 is 80
4 x 80 : 3 x 80
320 : 240
12x + 24y + 18z using GCF
Which of the following is a Pythagorean triple?
Answer:
D (3,4,6)
Step-by-step explanation:
I took thee test
What can be concluded if ∠EJS and ∠SJV form a linear pair?
Answer:
They are supplementary.
Step-by-step explanation:
A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary
Dwayne's garden is triangle-shaped with two equal sides and a third side that is 4 ft more than the length of an equal side. If the perimeter is 49 ft, how long is each side?
Which equation represents this?
2x = 49
2x + 4 = 49
3x = 49
3x + 4 = 49
Answer:
2x = 49
=x=24.5
if 2x + 4=49
49-4/2=x
x=22.5
if 3x + 4 =49
x=45/3=15
3x + 4 belongs it
15+4is 19
Answer:
2x = 49
=x=24.5
if 2x + 4=49
49-4/2=x
x=22.5
if 3x + 4 =49
x=45/3=15
3x + 4 belongs it
15+4is 19
Kimmie solves the follow expression, looking at her steps, explain her mistake.
3x (3+ 12 = 3)-4
3x (15 = 3)-4
3x5-4
15-4
11
Answer:
-6.67
Step-by-step explanation:
3x(3+12=3)-4
3x(15=3)-4
3x(15/-3)-4
3x(-5)-4
3x(20)
x=20/-3
x= -6.67
what's the difference between five times a number and twelve
Step-by-step explanation:
Answer: Difference between five tmes a number and twelve is seven
Select the equation that represents the question.
35% of what number is 35?
please help
Answer:
Step-by-step explanation:
35% of 100 = 36
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A. 224.70 (wrong)
B. 524.30
C. 719
Answer:
Step-by-step explanation:
B. 749x .30= 224.70. 749-224.70=524.30
Plz help me with all of them plz I will give 65 points
Answer:
7. adjacent (next to each other)
8. vertical (right across from each other)
9. vertical (right across from each other)
10. neither
11. adjacent (right next to each other)
12. neither
Before I go on: all these angles have the same measure as the one across, so ∠SYX has the same measure as ∠UYV (76°), ∠XYW has the same measure as ∠TYU (40°), and ∠WYV has the same measure as ∠SYT (64°)...
13. ∠SYX = 76°
14. ∠XYW = 40°
15. ∠WYV = 64°
These last three are angles added together. They look tricky, but you just note the endpoints and add the measures of the included angles together.
16. ∠SYW = ∠SYX + ∠XYW = 76° + 40° = 106°
∠SYW = 106°
17. ∠TYX = ∠SYX + ∠SYT = 76° + 64° = 140°
∠TYX = 140°
18. ∠VYX = ∠WYV + ∠XYW = 64° + 40° = 104°
∠VYX = 104°
I hope this helps you understand the concept! Have a great day!
Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?
Answer:
Total number of chips Caleb have = 8
Total number of chips Suzanne have = 30
Step-by-step explanation:
In Caleb case -
Three out of every four chips is blue
⇒ If Caleb has total chips = 4
Then Blue chips = 3
⇒White chips = 4 - 3 = 1
Now,
If Caleb have 6 blue chips
⇒3 Blue chips = 4 total chips
1 Blue chip = [tex]\frac{4}{3}[/tex] total chips
⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips
∴ we get
Number of chips become = 8
In Suzanne case -
One out of every five chips are blue.
⇒ If Suzanne has total chips = 5
Then Blue chips = 1
⇒White chips = 5 - 1 = 4
Now,
If Suzanne have 6 blue chips
⇒1 Blue chips = 5 total chips
⇒6 blue chips = 5×6 = 30 total chips
∴ we get
Number of chips become = 30
Is 7/8 equivalent to -7/-8
Answer:
No
Step-by-step explanation:
I don't think those are equivalent because 7/8 is positive while -7/-8 is negative.
simplify the following without a calculator leave your answer with positive exponents
[tex](0.008) \frac{2}{3} [/tex]
witch of the following statements is true
Answer:
in pretty sure its bfg is a right angle
Answer:
second one
Step-by-step explanation:
have a great day
the difference of a numder 9 is less than 2
Answer:
Step-by-step explanation:
I think you mean
n-9<2
n<11
Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3
Answer:
14491.060542
Step-by-step explanation:
d) IfA: B = 1 : 2 and A: C= 2:3, find B: C.
Answer:
it's 2/3
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Solve for x.
ax + b = r
O
b-r
X=
a
O
r-b
X=
a
b-a
X=
r
O
ar
X=
b
Answer:
x = (r-b) /a
Step-by-step explanation:
ax + b = r
Subtract b from each side
ax+b-b = r-b
ax = r-b
Divide each side by a
ax/a = ( r-b)/a
x = (r-b) /a
The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot?
Answer:
The box plot below represents the ages of campers at a summer camp. What can be interpreted from this box plot? A. It can be interpreted that about 50 percent of the campers are 8 years of age or younger.
12 times 8.1
[NEED ASAP]
Answer:
Answer is 97.2
Step-by-step explanation:
I need to figure out whether or not this is a solvable equation. HELP
Answer:
its not
Step-by-step explanation:
Answer:
yeah this question i s solvable
Step-by-step explanation:
[tex] \frac{1}{3} (4 + 2) = - \frac{2}{5} (4 - 9)[/tex]
[tex] \frac{1}{3} \times 6 = - \frac{2}{5} \times ( - 5)[/tex]
please try ti do it on thi way
PLEASE MARK ME AS BRAINLIEST
Damon bought a girl he likes chocolate for valentines day. After tax they cost $13.60. If tax was 8.5%, what was the cost of the chocolate before tax?
Answer:
$12.53
Step-by-step explanation:
13.60 / 1.085 = 12.53
Answer:
13.50×8.5%=1.1475
13.50
-1.60=
The number of bales of cotton that were grown in selected countries for the year 2008 is as follows: United States - 21,590,000; China - 35,500,000; Brazil - 7,000,000; and India - 21,800,000. Rank the statistics. I WILL GIVE BRAINLIEST PLS!!!
Answer:
1) China
2) India
3) United States
4) Brazil
Step-by-step explanation:
What is The slope of (6,5) and (14,35)
Answer:
15/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(35-5)/(14-6)
m=30/8
simplify
m=15/4
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so
m=(35-5)/(14-6)
m=30/8
m=3.75
HELPPPPPPPPP!! ASAP IT WOULD BE GREATLY APPRECIATED
Answer:
I believe option 4
Simplify the expression-3x-(-2-4x)
Answer:
-7x+2
Step-by-step explanation:
Step 1: Remove Parentheses
-> -3x+2-4x
Step 2: Simplify Expressions
-3x-4x+2= -3x-4x= -7x+2
Can I have brainliest now
2 to the power of 6 times 9x if x=12
Answer:
[tex]6 {}^{2} = 36 [/tex]
[tex]x = 12[/tex]
[tex]9 \times 12 = 108[/tex]
[tex]108 \times 36 = 3888[/tex]
Equations & Inequalities The value of a baseball card is increasing at a rate of $40 per year. If Tom purchased the card for $300, how many years will it take for the card to at least triple in value?
Answer:
15= number of years
Step-by-step explanation:
Giving the following information:
Current value= $300
Growth per year= $40
Triple value= $900
To calculate the number of years it will take to transform $300 into $900, we need to use the following formula:
Future value= current value + (growth rate per year*number of years)
900 = 300 + (40*number of years)
600= 40number of years
600/40= number of years
15= number of years