9514 1404 393
Answer:
5p^2q√(3p)
Step-by-step explanation:
Factor out even powers, then remove those from under the radical.
[tex]\sqrt{75p^5q^2}=\sqrt{5^2p^4q^2\times3p}=\boxed{5p^2q\sqrt{3p}}[/tex]
Which value of x makes the equation 0.75(x + 20) = 2 + 0.5(x - 2) true?
A. -64
B.64
C. 56
D.-56
The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.
An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).
We have to find out the value of x for which the equation becomes true.
What do you mean by algebraic expressions ?
The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.
As per the question ;
The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)
Let's solve to get the value of x.
⇒ 0.75(x + 20) = 2 + 0.5(x - 2)
⇒ 0.75x + 15 = 2 + 0.5 x - 1
⇒ 0.75x - 0.5x = 1 - 15
⇒ 0.25x = - 14
⇒ x = -14 ÷ 0.25
⇒ x = - 56
Let's check ;
0.75(x + 20) = 2 + 0.5(x - 2)
0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )
(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)
-42 + 15 = 2 -28 - 1
-27 = -27
Both sides are equal for value of x = -56.
Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.
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10×3×4×4×4×4×4÷2 answer pls
what is 21 1/2 -15 7/10?
Answer:
5.8 lemme know if im wrong :)
Step-by-step explanation:
Answer:
5 4/5. ( decimal 5.8)
Step-by-step explanation:
21 1/2 -15 7/10
= 43/2 - 15 17/10
=43/2 - 157/10
=29/5
= 5 4/5
Shannon’s bicycle travels 40 feet for every 3 pedal turns. How many pedal turns are needed to travel one mile (1 mile = 5,280 feet) please help and ill give you brainliest
Please help me with this
Answer:
m=9 cm; n=4 cm
Step-by-step explanation:
The area of the rectangle is m*n, and the area of the square is 6*6. We are told that the areas of the rectangle and square equal each other, so:
[tex]m*n=36[/tex]
We are told that m is 5 cm longer than n, so we know that:
[tex]m = 5+n[/tex]
Therefore, we can solve for n using substitution.
[tex]m*n=36\\(5+n)n = 36\\5n+n^2 = 36\\n^2 + 5n -36 = 0\\(n+9)(n-4)=0[/tex]
We now have two answers for n: -9 and 4. However, the side length cannot be negative; that simply wouldn't make any sense. Therefore, n = 4.
Next, using the same equation, plug in 4 for n and solve for m.
[tex]m*n=36\\m*4=36\\m=9[/tex]
1. Find the cost of 3.5 yards of fabric if the fabric is priced at $6.00 per yard.
$210.00
$1.71
$21.00
$17.10
$21.00
Step-by-step explanation:
if 1 yard equal 6 dollars
do 6 times 3 = 18
and half of 6 is 3
add 18+3=21 dollars
If there are 24 cats in the exhibit, how many tigers do you have?
Answer:
8
Step-by-step explanation:
If you have 8 loins and 4 tigers you add those up, you now have 12, if you have 24 cats that means that you double that, 12 x 2 =24 (boom) so now you know you just have to double 4 into 8.
Because for every 8 loins there are there are 4 tigers.
(double trouble)
Use the distributive property to find the equivalent expression.
9(3 + 7k) =
+
Answer:
63k + 27
Step-by-step explanation:
9(3) + 9(7k)
27 + 63k
Find the slope and y-intercept
and write the equation.
(-98, 22), (0, -48)
m =
b=
Answer:
m = -35/49
c = -48
y = -35/49 x - 48
Step-by-step explanation:
Given the coordinate point
(-98, 22), (0, -48)
Slope m = y2-y1/x2-x1
m = -48 - 22/0 -(-98)
m = -70/98
m = -35/49
Substitute m = -35/49 and (0, -48) into the equation y = mx+c
-48 = 0(-35/49) + c
-48 = c
c = -48
Hence the y-intercept is -48
Get the equation
Recall that y = mx+c
y = -35/49 x - 48
Determine weather 6y+ 13y is equivalent to 9(y+2)
Answer:
mnljkhjhkbj/n/
Step-by-step explanation:
A group of students are going on a trip and the trip costs $36.50 per student which includes $9.50 for lunch, an entrance ticket and a gift coupon. The gift coupon costs $50 for the entrance ticket. The cost of an entrance ticket is
A) $27.00
B) $25.00
C) $18.00
D) $13.50
Answer:
The answer is D) $13.50
Step-by-step explanation:
So first what you're gonna do it subtract $9.50 from $36.50 which will get you to $27.00.
Then you'll have to figure out what half of $27.00 is.
That will get you to the answer of D) $13.50
HELP!!
Solve & Check. Show your steps.
2x - 8 = 4x + 12
HELP PLEASE
Answer:
x=-10
Step-by-step explanation:
2x-8=4x+12
-2x. - 2x
-8=2x+12
-12. - 12
-20 = 2x
-10=x
A line passes through points with coordinates
(3,7) and (-2,-3). What is the equation of the
line?
1) y = 2x + 1
2) y = 2x + 4
3) y = -2x +1
4) y = = -2x + 13
Answer:
y = 2x + 1
Step-by-step explanation:
[tex]m = \frac{-3 - 7}{-2 - 3}\\ = \frac{-10}{-5}= 2\\y = mx + b \\y = 2x + b\\7 = 2(3) + b\ -> 7 = 6 + b \\b = 1 \\y = 2x + 1[/tex]
A scuba diver dives 243 feet into the ocean and then swims up 156
feet. What integer represents her final position relative to where
she started?
Answer:
Her final position would stop at -87.
Step-by-step explanation:
As she dove 243 feet into the ocean, that means she went down. Therefore she's currently at -243, however she swam up 156 feet ending her up at -87. If that was kinda complicated, then use -243+156 and you'll get -87.
solve for the missing side: simplify the radical
Answer:
[tex]x=8\sqrt{5}[/tex]
Step-by-step explanation:
I will assume the following:
You know how to use the quadratic formulaYou know how to simplify radicalsYou know how to use the pythagorean theorem.The challenge of this exercise comes from using the pythagorean theorem and setting up a few equations.
Given that we have a segment 36 units long and another segment that is 16, it is trivial to get the other segment, 20. Additionally, there are two sides that I want to name so that way I can make a couple of substitutions. I will call these side a and side b. (see attachment 1)
Now comes with setting up three equations. I will start with the two smaller triangles, using side a and side b. See attachments 2 and 3.
Now with the big triangle. I will set up one last equation. See attachment 4.
Given what we know about attachment 2 and 3, we can make two substitutions. See attachment 5. I assume you know how to do the rest and arrive at your only real solution.
X to the power of 3 = 125
what is X?
Answer:
x = 5
Step-by-step explanation:
x³ = 125
x = √125
x = 5
plz follow me
In the diagram below, DE is parallel to X. What is the value of y?
•
**
122
A. 78
B. 112
C. 58
O D. 122
They start you off with the angle 122 d (degrees) and a straight lime is 180 d so you should do 180 d - 122 d to get 58
what is the solution of x + 6 < 5
A) x < 11
B) x > 11
C) x < -1
D) x > -1
Answer:
C. x < - 1
Step-by-step explanation:
1. Subtract 6 from both sides.
[tex]x < 5 - 6[/tex]
2. Simplify 5 - 6 to -1.
[tex]x < - 1[/tex]
Therefor, the answer is, x < -1.
-3s(s - 10) + 7(-2s -1)
Answer:
-3s^2+16s-7
Step-by-step explanation:
-3s(s - 10) + 7(-2s -1) --> (-3s^2+30s)+(-14s-7) ---> -3s^2+16s-7
DO multiplication them convert like terms
Answer:
-3s² + 16s - 7
Step-by-step explanation:
Remember to follow FOIL. FOIL stands for (First, Outside, Inside, Last).
First, distribute -3s to s and -10, and 7 to -2s and -1:
-3s(s - 10) = -3s² + 30s
7(-2s - 1) = -14s - 7
Next, combine like terms:
-3s² + 30s - 14s - 7
-3s² + (30s - 14s) - 7
-3s² + 16s - 7
-3s² + 16s - 7 is your answer.
™
You work summer construction, and your hours may vary depending on the weather. The
following table provides the number of hours you worked each day for the past week. On
average, how many hours did you work per day?
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
Hope this helps!
A bus increases its position at a constant velocity for 12 s, and then it stops for 6 s.
Which option lists a true statement about how a distance-time graph would represent this motion?
A) The slope of the graph would be negative and constant for 12 s; then, the slope would be constant for 6 s because the slope represents velocity.
B) The slope of the graph would be positive and constant for 12 s; then, the slope would be 0 for 6 s because the slope represents velocity.
C) The slope of the graph would be positive and increasing for 12 s; then, the slope would be constant for 6 s because the slope represents velocity.
D) The slope of the graph would be negative and constant for 12 s; then, the slope would be 0 for 6 s because the slope represents the passing of time.
Answer:
D
Step-by-step explanation:
The slope of the graph would be negative and constant for 12 s; then, the slope would be 0 for 6 s because the slope represents the passing of time. Therefore, option D is the correct answer.
What is a constant velocity?Velocity gives us information about the rate of change of your position, meaning how fast your position is changing per unit time.
Given that, a bus increases its position at a constant velocity for 12 s, and then it stops for 6 s.
Here, rate of change is 12/6 = 2 s
Therefore, option D is the correct answer.
Learn more about the velocity here:
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Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?
Answer:
something to do with sets
Step-by-step explanation:
I think {odd numbers from 1 to 15 inclusive, there is something more to it but this is just a idea
Pls help me someone!!!
Answer:
n^2(radical)7
Step-by-step explanation:
You have to find the square root of all the components separately. 7 is not a perfect square (one number*itself = perfect square, ex 4 is the perfect square of 2 because 2*2=4) but the n^4 can be simplified and brought outside of the radical. When finding the square root of variables with exponents they have to come out in pairs to create that "perfect square." Therefore when you move a variable, you basically divide the exponent by 2. so n^4 inside the radical becomes n^2 outside of the radical, leaving the problem itself to become n^2 (radical) 7.
Help me please. Show a lil work please.......
Answer:
J) -4.5
Step-by-step explanation:
-12x=54
x=54÷(-12)
x=-4.5
Answer:
J
Step-by-step explanation:
divide both sides by -12, x = -4.5. J is the only one that shows that solution, so J is the answer
Can you please solve -x^2+2x+3=0?
Answer:
x = -1 or x = 3
Step-by-step explanation:
One of those 2
Question 8
Find the surface area of a cuboid with lengths 28 cm,
4 cm and 5 cm. If the answer is A cm2 then
write the value of A.
PLEASE HELP ME OMG X
Answer:
Answer: 544
Step-by-step explanation:
The Surface Area of a Cuboid
Given a cuboid (rectangular prism) of dimensions x,y, and z, the surface area is calculated as follows:
[tex]S=2(xy+yz+xz)[/tex]
The dimensions of a given cuboid are x=28 cm, y=4 cm, z=5 cm, thus:
[tex]S=2(28*4 + 4*5+ 28*5)[/tex]
[tex]S= 2*272 = 544[/tex]
The surface area is [tex]544 cm^2[/tex]
Answer: 544
A parking meter charges $0.25 for the first 30 minutes and $0.1 for every additional 5 minutes. If Megan is charged $1.35 for parking at this specific meter, how many minutes did she park for?
Answer:
I got 140 minutes
Step-by-step explanation:
I need help on this..
Answer:
The slope is 2/3
Step-by-step explanation:
Hope it helps!
Mr. Vadar washed
2
7
of his laundry. His son washed
1
3
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answer:
i think it's 2 7
Step-by-step explanation
the ratio with the bigger number first would be the answer because it's bigger than 1 3.
Answer:
His Son
Step-by-step explanation:
2/7=0.29
1/3=0.33
In total 19/21 of the laundry still needs to be complete.
9.5% is done
90.5% needs to be done between the both of them.
71.43% of Mr. Vardar's laundry needs to be done.
66.67% of his sons needs to be done.
Ramon’s teacher wrote the following table on the board
She then asked the class to write a rule for the nth term of the geometric sequence represented on the table, using the format an=a(r)^n-1
Select the values for a and r that Ramon should use in order to correctly write the rule for the nth term.
an= ___(___)^n-1
—> number choices
-3
-1/3
1/3
3
9
27
81
please only respond if you know the answer :)
Answer:
23
Step-by-step explanation:
i think if not correct sorry
