Answers
Point :
A × B = B × A
Ex)
[tex] \frac{1}{2} \times \frac{3}{4} = \frac{3}{4} \times \frac{1}{2} = \frac{3}{2} \times \frac{1}{4} [/tex]
_________________________________
a )
[tex] \frac{12 {a}^{2} }{25 {b}^{3} } \times \frac{5b}{4 {a}^{4} } = \frac{12 {a}^{2} }{4 {a}^{4} } \times \frac{5b}{25 {b}^{3} } = \\ [/tex]
[tex] \frac{4 {a}^{2} \times 3 }{4 {a}^{2} \times {a}^{2} } \times \frac{5b}{5b \times 5 {b}^{2} } = \\ [/tex]
[tex] \frac{3}{ {a}^{2} } \times \frac{1}{5 {b}^{2} } = \frac{3}{5 {a}^{2} {b}^{2} } \\ [/tex]
_________________________________
b )
[tex] \frac{ {x}^{2} - 2x - 15 }{ {x}^{2} - 9 } \times \frac{ {x}^{2 } - 6x + 9 }{4x - 12} = \\ [/tex]
[tex] \frac{(x - 5)(x + 3)}{(x - 3)(x + 3)} \times \frac{(x - 3)(x - 3) }{4(x - 3)} = \\ [/tex]
[tex] \frac{(x - 5)}{(x - 3)} \times \frac{(x - 3)}{4} = \\ [/tex]
[tex] \frac{(x - 3)(x - 5)}{(x - 3) \: \: \: \times \: \: 4} = \frac{x - 5}{4} \\ [/tex]
_________________________________
And we're done.....♥️♥️♥️♥️♥️
Related Questions
You had 23 dollars to spend on 4 avocados. They were very green. After buying them you had 11 dollars. How much did each avocado cost?
Answers
Answer:
the avacodos cost 12
Step-by-step explanation: if you sutract 23 by 11 you get 12 and if you chek you ansewer by adding 12+11=23
The answer is $3.
Step-by-step explanation:
1. Let's subtract 11 ($ remaining) from 23 ($ we had originally) to see how much we spent in total. (23 - 11 = 12)
2. Divide 12 ($ spent) and 4 (Avocados bought) to find out how much each avocado cost. (12 ÷ 4 = 3)
caffeine takes a certain amount of time to leave your system if you drink 3 cups of coffee in the morning, the function that represents the amount of caffeine remaining in your body after drinking the coffee is given by (gt)=130(.8346) where is t time in hours.
Answers
Answer:
What's the question you're asking im very confused of what you're trying to ask
Step-by-step explanation:
Which of these points has the lowest absolute value?
A
-25
B
-13
c.
6
D
19
Answers
Answer:
A: -25
Step-by-step explanation:
negatives are below zero. And since 25 is above 13... -25 is below -13
John wanted to run a 6 miles marathon. He only completed 1/2 of it before having to stop. How many miles did he run
Answers
Answer:
3 miles
Step-by-step explanation:
1/2*6/1= 6/2=3
do -4.6+5.3 please i need the answer and solving
Answers
Answer:
0.7
Step-by-step explanation:
With equations like this, I like to rewrite it making sure not to lose the signs. So -4.6+5.3 is equal to 5.3-4.6. At this point just subtract and you'll get 0.7
+(5.3-4.6)
Answer is 0.7
Find the slope of (1,8) and (3,12) ?
Answers
Answer:
The slope is 2.
Step-by-step explanation:
Slope formula is rise/run. So in other words, it is y2-y1/x2-x1. In this case it would be 12-8/3-1. That equals 4/2. You need to simplify that by dividing both 4 and 2 by 2. So, that gives you 2/1. Whenever you have a number over 1 that is the same as saying just the numerator. So the slope would be 2.
A side of the triangle below has been extended to form an exterior angle of 164º. Find the value of x.
Answers
Answer:
x=50
Step-by-step explanation:
The value of the angle of the triangle 'x' will be 111°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The sum of the two interior angles of the triangle is equal to the exterior angle of the triangle.
x + 53° = 164°
Simplify the equation, then we have
x + 53° = 164°
x = 164° - 53°
x = 111°
The value of the angle of the triangle 'x' will be 111°.
More about the triangle link is given below.
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Please help its due at 10:30 AM
DF=
JH=
GJ=
m
m
m
Answers
Answer:
DF=16
JH=14
GJ=19
Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?
a. Distribute –4 to get –8x + 4 > 5 – 3x.
b. Distribute –4 to get –8x – 1 > 5 – 3x.
c. Subtract 2x from both sides of the inequality.
d. Add 1 to both sides of the inequality.
Answers
Answer:
B.)Distribute –4 to get –8x – 1 > 5 – 3x.
Step-by-step explanation:
What is one hundred more than twice a number is equal to 10 more than three times the number. Find the number.
Answers
Answer:x=90
Step-by-step explanation:100+2x=10+3x
100-10=3x-2x
90= x
There are 24 calories in a candy bar. How many calories are there in 33 candy bars ?
Answers
Answer: 406
Step-by-step explanation:
Answer:
792
Step-by-step explanation:
The answer is 792 because, we know that there is 24 calories in each bar, so, when calculating total amount of, you wan to multiply that amount by however many bars there are. The reason you multiply is because(using this example) when you have a bar with 24 calories and another bar with the same amount, you just add the two calorie amounts together, or 24 + 24. Since you have 33 bars, you would do that 33 times, which is the same as 24 x 33. So if you calculate 24 x 33, you get 792. Another way to solve this is you can use the formula x=cb where x is the total amount of calories, c is the number of calories in one bar, and b is how many bars you have.
6,520 to 9,408
Percent of change
Answers
Answer:
The percent of change is 144.29447% because 2,888 is 44.29447% of 6,520
Step-by-step explanation:
HELP ME PLEASEEEE, I need help check the picture and if its right i will mark brainliest
Answers
Answer:
x=2
Step-by-step explanation:
Answer:
the value for X is 2
Step-by-step explanation:
One lap around a track is 1/4 mile long if you ran around the track three times and then ran 5/6 mile home how far did you run
Answers
Answer:
19/12 or 1 7/12
Step-by-step explanation:
1/4*3=3/4
3/4+5/6
9/12+10/12= 19/12
14.89 divided by 0.02
Answers
Answer:
744.5
Step-by-step explanation:
Answer:
744.5
Step-by-step explanation:
the answer is 744.5
find the sum 6/10 + 5/10
Answers
Answer:
11/10 or 1.10
Step-by-step explanation:
Adding the numerator with common denominator.
Help needed asap please?
Answers
Answer:
its 72
Step-by-step explanation:
i already solved this question yesterday. :)
Find the values of x and y.
Answers
Answer:
The answer is A, x=15 and y=17
Step-by-step explanation:
a migrating bird flies 468 miles in 13 hours. how many miles does it fly in 3 hours?
Answers
Answer:
The answer is 108mi
Step-by-step explanation:
to solve this problem, we need to write a ratio.
[tex]\frac{468mi}{13hrs}[/tex]
to solve for 3 hours, we need to figure out how many miles the bird can fly in 1 hour. to do that, we need to divide the numerator and denominator by 13.
[tex]\frac{36mi}{1hr}[/tex]
now we have a unit rate that represents distance covered per hour.
to solve for 3, we need to multiply the numerator and denominator by 3.
[tex]\frac{108mi}{3hrs}[/tex]
the question is asking for miles. therefore, the bird can fly 108mi in 3 hrs.
hope this helps!
Answer:
108 miles
Step-by-step explanation:
For this problem you can create a proportion:
[tex]\frac{468 miles}{13 hours}[/tex]
To find how many miles it flies in 3 hours, we need to find the unit fraction. Do this by making the denominator (bottom number) 1:
here, we must divide by 13:
[tex]\frac{468 miles}{13 hours}[/tex]÷[tex]\frac{13}{13}[/tex]= [tex]\frac{36 miles}{1 hour}[/tex]
Each hour, they fly 36 miles.
To find how many miles they fly in 3 hours, make a proportion:
[tex]\frac{36 miles}{1 hour}[/tex]=[tex]\frac{x miles}{3 hours}[/tex]
Then, solve:
use cross multiplication:
36·3=108
x·1=x
108=x
A television set can be purchased with a $200 down payment plus a $39.99 monthly payment. Alternatively, the television can be purchased with no money down and monthly payments of $59.99. Solve for the number of months until the payments are of equal value.
Answers
Answer:
10 months
Step-by-step explanation:
Let x denotes number of months.
Down payment of first TV = $200
Per month payment of first TV = $39.99
Total payment of first TV [tex]=200+39.99x[/tex]
Down payment of second TV = $0
Per month payment of second TV = $59.99
Total payment of second TV [tex]=0+59.99x=59.99x[/tex]
To find number of months until the payments are of equal value,
solve [tex]200+39.99x=59.99x[/tex]
[tex]200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=\frac{200}{20}\\ x=10[/tex]
So, payments become of equal value after 10 months.
-2m + 7 < 13 or 5m + 12 > 37
Need help.!!
Answers
Answer:
m<-3 or m>5
Step-by-step explanation:
-2m+7<13
-2m<6
m<-3
5m+12>37
5m>25
m>5
The solution of the two expressions will be m<-3 or m>5.
What is inequality?
When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that the two inequalities are -2m + 7 < 13 or 5m + 12 > 37. The inequalities will be solved as,
-2m+7<13
-2m<6
m<-3
5m+12>37
5m>25
m>5
Hence, the solution for the inequalities will be m<-3 or m>5.
To know more about inequality follow
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The sum of 3 fifteens and 17 fifteens in numbers and symbols
Answers
Answer: The sum of 3 fifteens and 17 fifteens is 3+17 = 20 fifteens. 20 fifteens can be expressed as 20 x 15 = 300.
Step-by-step explanation:
20 x 15 = 300.
Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes?
Answers
Answer: 100
Step-by-step explanation:
20 - 2
x - 10
Cross multiply 20 * 10.
20 * 10 = 200
Then divide 200 by 2.
200 / 2 = 100
identify the sequence 18,13,8,3,-2 PLZ HELPPPPP
Answers
The common difference between each term is -5. The nth term of the sequence as follows: aₙ = 18 - 5(n-1)
The given sequence is 18, 13, 8, 3, -2.
To identify the pattern in the sequence, we can observe that each term is decreasing by 5. Starting from 18, we subtract 5 to get the next term, and so on. The common difference between each term is -5.
Using this pattern, we can continue the sequence as follows:
-2 - 5 = -7
-7 - 5 = -12
-12 - 5 = -17
-17 - 5 = -22
The extended sequence would be -2, -7, -12, -17, -22.
In terms of the general formula, we can represent the nth term of the sequence as follows:
aₙ = 18 - 5(n-1)
For more such questions on sequence
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The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg.If each bag of sugar weighs 0.75 kg,what is the weight of each bag of flour?
Answers
The total weight of 30 bags of flour and 4 bags of sugar is 42.6 kg
What is the value of the expression below when w = 2?
Answers
Answer:57
Step-by-step explanation:
Which rational number equals 0.1?
1/11
1/10
1/9
1/8
HELPPPPPP PLZZZZZ
Answers
All you have to do is divide the numerator by the denominator
In this case 1 divided by 10 = 0.1
Hope this helps
What is the range of the function f (x)= 4x -6 when the domain is { -4,-2,0,2,6}?
Answers
Answer:
{-22, -14, -6, 2, 18}
Step-by-step explanation:
f(-4)=4(-4)-6=-22
f(-2)=4(-2)-6=-14
f(0)=4(0)-6=-6
f(2)=4(2)-6=2
f(6)=4(6)-6=18
Select the correct answer from the drop-down menu.
The product of five rational numbers is positive. At most____of these rational numbers can be negative.
A.2 B.3 C.4 D.5
Answers
Answer:
4
Step-by-step explanation:
each student needs 3/4 sticks of clay to do an art project. If 14 students wanted to do this art project, how many sticks of clay would they need?
Answers
Answer:
10 1/2 sticks of clay
Step-by-step explanation:
14 × 3/4
14=14/1
14/1 × 3/4
multiply numerators
14 × 3 = 42
multiply denominators
1 × 4 = 4
42/4
simplify
21/2
convert improper fraction to mixed fraction
10 1/2