there are multiple test versions of these:
16r^6s^3/8r^2s^6 answer = B. 2r^4/s^3
(4m^5n^2/m^n)^3 answer = A. 64m^9n^3
cd^4/c^2d^8 answer = C. 1/cd^4
The expression equivalent to [tex]\frac{15}{x - 6} + \frac{7}{x + 6}[/tex] is (d) [tex]\frac{22x+ 48}{x^2 - 36}[/tex], if no denominator equals zero
The expression is given as:
[tex]\frac{15}{x - 6} + \frac{7}{x + 6}[/tex]
Take LCM of the above expression
[tex]\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{15(x + 6) + 7(x - 6)}{(x - 6)(x + 6)}[/tex]
Expand
[tex]\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{15x + 90 + 7x - 42}{x^2 - 36}[/tex]
Collect like terms
[tex]\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{15x + 7x+ 90 - 42}{x^2 - 36}[/tex]
Evaluate the like terms
[tex]\frac{15}{x - 6} + \frac{7}{x + 6} = \frac{22x+ 48}{x^2 - 36}[/tex]
Hence, the expression equivalent to [tex]\frac{15}{x - 6} + \frac{7}{x + 6}[/tex] is (d) [tex]\frac{22x+ 48}{x^2 - 36}[/tex]
Read more about equivalent expressions at:
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The graph shown compares the rent Andrew and Dave pay for renting bikes from different stores
After how many hours would the amount Andrew and dave pay for the rentals be equal?
Answer:6
Step-by-step explanation:
The number of hours when the amount Andrew and dave pay for the rentals be equal will be 6 hours.
What is the equation of a line passing through two points?Let the equation of the line pass through (x₁, y₁) and (x₂, y₂).
Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
From the equation, the two points of Dave's line will be (0, 6) and (2, 9). Then the equation is given as,
(y - 6)[(9 - 6) / (2 - 0)](x - 0)
y = 1.5x + 6
From the equation, the two points of Andrew's line will be (0, 3) and (1, 5). Then the equation is given as,
(y - 3) = [(5 - 3) / (1 - 0)](x - 0)
y = 2x + 3
The number of hours when the amount Andrew and dave pay for the rentals be equal will be calculated as,
2x + 3 = 1.5x + 6
0.5x = 3
x = 6 hours
The number of hours when the sum Andrew and dave pay for the rentals be equivalent will be 6 hours.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
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3(n - 1) < 21
Does anyone know the answer and solution?
Answer:
[tex]n < 8[/tex]
Step-by-step explanation:
[tex]3n - 3 < 21 \\ 3n - 3 + 3 < 21 + 3 \\ 3n = 24 \\ \frac{3n}{3} < \frac{24}{3} \\ n < 8[/tex]
find the height
11in 14in
h=
Answer:
[tex]h = \sqrt{72}in[/tex]
Step-by-step explanation:
We have a right triangle with long side of 11in and smaller sides 14in/2=7in and h.
We know that
[tex]h^2 + (7in)^2 = (11in)^2\\h^2 = 121in^2 - 49in^2 = 72in^2\\h = \sqrt{72}in[/tex]
I posted another question :)
Answer:
the first one is correct
Step-by-step explanation:
If x =3 find the value of 140+5x^2
Answer:
140+5x^2
If x =3
140+5(3^2)
3^1=3
3^2=9
So,
140+5(3^2) = 140+5(9)
= 140 +45
= 195
Step-by-step explanation:
Please really could use the help
What is the probability that you get two even numbers if you roll two dice?
Answer:
Probability of both even is 12×12=14. Given they are both even there are 3 possible even numbers: 2,4,6.
Step-by-step explanation:
The decay of 249 mg of an isotope is given by A=249e−0.015t , where t is time in years. Find the amount after 43 years.
Answer:
A≈676.2
Step-by-step explanation:
1. Exponentially solve equation
A=249e-0.0015t as t = 43 years (Unless conversion to seconds)
A≈676.2
2. Solve graphically = intersect = (43, 676.2) x axis is time y axis is amount.
*PLEASE HELP*
Sara has purchased an Easter basket for $25. Inside the basket there are chocolate
eggs and marshmallow bunnies. The basket has a total of 7 items inside. The
chocolate eggs cost $3 each and the marshmallow bunnies cost $5 each.
Write a system of equations that describes the situation. Then find how many
chocolate eggs and marshmallow bunnies are in the basket.
Answer:
(3x5)+(5x2)=25
Step-by-step explanation:
3x5=15 plus 5x2=10 15+10=25
A circle has diameter of 8 feet.
What is the circumference? (Round to the nearest tenth if necessary.)
15. Amir wants to buy a video game that
costs $70, but he only has $20. He can earn
$10 for each car he washes. How many cars
he must wash to have enough money to buy
the game?
A. 5 cars
B. 7 cars
C. 3 cars
D. 2 cars
Answer:
A. 5 cars
Step-by-step explanation:
A group of friends were working on a student film. They spent all their budget on props and equipment. They spent $693 on props, and 37% of the total budget on equipment. What was the total budget for their student film?
Answer:
$1100
Step-by-step explanation:
Let the total budget = b
amount spent on props + amount spent on equipment = total budget
If 37% of the budget was spent on equipment
The percentage spent on props = 100% - 37% = 63%
63% of the total budget is $693
the above sentence presented as an equation gives :
63/100 x b = 693
to find b, divide both sides of the equation by 100/63
b = $1100
Answer:
1100
Step-by-step explanation:
All the info is in the photos your gonna need the answer to the first photo to answer the second one help plz I'm giving Brainliest!!
Answer:
240 minutes (4 hours)
Step-by-step explanation:
the descend 3000 ft every 20 minutes
36000 ÷ 3000 = 12
20*12 = 240 minutes
What is 8.04 dived by 0.6
Answer:
13.4
Step-by-step explanation:
it just is
Answer:
13.4
Step-by-step explanation:
there you go 8.04 divided by 0.6= 13.4
24 - n = 6 What is n?
Answer:
n is 18
Step-by-step explanation:
Answer:
24 - n = 6
Figure out what plus 6 will give you 24.
Or add 24 and 6 and use the sum as the fill-in for n.
24 + 6 = 30.
Replace the variable.
30 (n) - 24 = 6.
Step-by-step explanation:
Hope that this helps!! :))>
Find the area of the figure.
rectangle with length 14
1
2
in. and width 10 in.
The area of this rectangle is in2.
Answer:
49 in.sq
I have made it in above picture
I just want this to be factored
Answer:
I usually use
Step-by-step explanation:
Use ^
what's the value of given expression
3³ - 3⁴
Answer:
-54
Step-by-step explanation:
27−34
=27−81
=−54
Answer:
2184
Step-by-step explanation:
=3³ x 3⁴
= 24 x 81
=2184
Brendan works in the kitchen of a restaurant.Over the weekend, he washed 275 small plates and 555 large plates.How many plates did he wash over the weekend?
Answer:
830
Step-by-step explanation:
Total plates washed is the sum of small plates washed and big plates washed
total plates washed = small plates + big plates
275 + 555 = 830 plates
a total of 830 plates was washed over the weekend
Midpoint Between Two Given Points
Find the midpoint of the line segment with the endpoints
(-4, -9) and (6, -5).
Midpoint =
Answer:
(1, -7)
Step-by-step explanation:
the difference between -4 & 6 is 10 so you add 5 (half) to -4 or subtract from 6, this gives you 1
you do the same for -9 and -5, the midpoint for those being -7, I hope this helps
The class size for 8 classrooms is shown.
14, 22, 24, 25, 25, 28, 32, 34
Which class size affects the range of all 8 classes the MOST?
Answer: The answer is 14
Step-by-step explanation:
The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].
To understand the calculations, check below
Define range.The range of a collection of numbers is the difference between the maximum and smallest values. Subtract the lowest as from highest number in the dispersion to discover it.
True upper limit minus true lower limit of a class interval is known as the class size.
The range of all [tex]8[/tex] classes is most affected by class size [tex]\boldsymbol{14}[/tex].
Find out more information about range here:
https://brainly.com/question/17553524?referrer=searchResults
You roll a die twice.
What is the probability of rolling a number greater than 2 and then
rolling a number less than 6?
Answer:
The probability the chances are there is an even chance
Step-by-step explanation:
also if you can plz help on this question
Sharecropping agreements were written in such a way that generally favored the sharecropper.
true or false
How many meters are equivalent to x centimeters????
Answer:
1 Meter is equal to 100 centimeters.
Step-by-step explanation:
Somebody tell me the answer to this please
Answer:
its (0, 3) or (3, 0)
Step-by-step explanation:
its not A. or D.
Answer:
[tex](3,0)[/tex]
Step-by-step explanation:
The x-intercept(s) of a function is the point(s) where the function intersects the x-axis, or the horizontal axis. If we look at the graph, we see that the function intersects the x-axis when [tex]x=3[/tex] (we know this because [tex]3[/tex] is directly in between [tex]2[/tex] and [tex]4[/tex]) and [tex]y=0[/tex], so the answer is [tex](3,0)[/tex]. Hope this helps!
let x and y be inversely related. if x is 5 when y is 6, find y when x is 3
Answer:
when its to the left
Step-by-step explanation:
Answer:
y =10
Step-by-step explanation:
x[tex]_{1}[/tex]=5 y[tex]_{1}[/tex]= 6
x[tex]_{2}[/tex]=3 y[tex]_{2}[/tex]=?
use the y[tex]_{1}[/tex]= k/x formula
6y=k/5
multiply 6 and 5 to find k
then use x[tex]_{2}[/tex] as your new x
y=30/3
30 ÷ 3= 10
are the expressions 1.5-2t and 0.25(8-6t) equivalent?
Answer:
no, they are not equivalent. the second expression simplified = 2-1.5t.
1.5-2t and 2-1.5t are not equal.
Step-by-step explanation:
i hope this helps :)
Yuki works at a garden store. She is stacking 40-pound bags of soil. Use the equation w=40b to find the total weight, w, of 5 bags of soil.
Answer:
w= 40b
w=40× 5
w=200
......
Answer: w = 200
Step-by-step explanation:
40 x 5 is 200
PLZ HELP PLZ ITS OVER DUE PLZ HELP A-S-A-P PLZ AND IF YOU DO I WILL MAKE YOURS BREANYEST PLZ HELP
Answer:
3rd one
Step-by-step explanation:
Determine the scale factor.
y
4
P Р
A.
4
-3
-2
P?
B.
1
2
Q
d'
4 5 6 7
0
9 x
1 2
R'
C. 2
-2
R
D. 4
Answer:
The scale factor from PQR to P'Q'R' is ½
John plans to practice piano at least 2 1 2 212 hours this weekend. If he practices 1 1 6 116 hours on Saturday and 1 1 4 114 hours on Sunday, will he meet his goal?
Answer:
No
Step-by-step explanation:
The computation is shown below:
In weekend, at least [tex]2 \frac{1}{2}[/tex] hours should be practice i.e. 2.5 hours
But actual he would be practice
[tex]= 1 \frac{1}{6} + 1 \frac{1}{4}\\\\= \frac{7}{6} + \frac{5}{4}\\\\= \frac{14 + 15}{12} \\\\= \frac{29}{12}\\\\= 2.4167[/tex]
So he would not able to meet his goal