Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
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Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?
Sets question with option answers. Help please
Answer:
best bet is 6
Step-by-step explanation:
find out the things that can be purchased between rupees 500 to rupees 100 for your house ?
We can buy small vases,Flower pots for our houses.
[tex]\sf\orange{Hope \: it \: helps \: please \: mark \: me \: as \: brainliest!}[/tex]
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?
A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²
=========================================================
Explanation:
Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.
To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.
------------------------------
The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.
Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas
3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.
The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15
Lastly, we'll add up the sub-areas to get the grand total
A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area
------------------------------
Another pathway to the answer:
If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions
L = 7 cmW = 5 cmH = 3 cmThe order of L,W,H doesn't really matter.
Then we can use the 3D block surface area formula like so
SA = 2*(LW + LH + WH)
SA = 2*(7*5 + 7*3 + 5*3)
SA = 2*(35 + 21 + 15)
SA = 2*71
SA = 142 cm^2 is the surface area
As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.
brainliest to correct answer, please hurry
Start at 3, subtract 5 and you get -2
Round 123,949 to the underlined point. 4 is highlighted
[tex]\\ \sf\longmapsto 123,949[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 123,95[/tex]
5=5[tex]\\ \sf\longmapsto 123,9[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 124[/tex]
4 is less than 5[tex]\\ \sf\longmapsto 12[/tex]
2 is less than 5[tex]\\ \sf\longmapsto 1[/tex]
Note
Write the number until underlined point.I did it till end
Answer:
The number is 123949 (or 123.949 in case comma stands for decimal)
According the rounding rule
if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zeroRound to the number 4, the second number from the right:
123950or
123.95Write a inequality please help.
a number is at least -43
Answer:
x≥ -43
Step-by-step explanation:
at least means greater than or equal to
Let x be the unknown number
x≥ -43
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
x - 2 < 5 ⇒ x < 7
x + 7 > 6 ⇒ x > -1
Together, we have -1 < x < 7, which in set notation is
[tex]\left\{x \mid -1 < x < 7\right\}[/tex]
(third choice)
A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $352.00?
Answer:
880 miles
Step-by-step explanation:
352 - 220 = 132
132 ÷ 0.15 = 880
880 miles
= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?
Answer:
Step-by-step explanation:
At 8:28 exactly one hour had gone by.
To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18 (48 - 2)
Answer: 1 hour and 18 minutes.
The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3
Answer:
the function is always increasing
Step-by-step explanation:
if you look at the graph, as x increases, y increases, no matter how small the increase
supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST
Answer:
-4x+1-10
Step-by-step explanation:
-2(2x+5)=0
-4x-10=0
-4x+1-10=0
-4x-9=0
-4x=9
x=9/-4
x=-2,25
please inform if wrong
A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?
Answer:
ANSWER 5.3 miles
See IMAGE FOR SOLUTION
Is 4 or 3 bigger in a integer
Answer:
4 is bigger than 3
Step-by-step explanation:
4 is bigger than 3
But
-3 is bigger than - 4
find the value of a and b in (a,2)=(2,b)
Answer:
a=2 and b=2...............
Find the y-intercept and x-intercept of the line. 5x-8y=14
Answer:
x-intercept = 14/5
y-intercept = 7/4
Step-by-step explanation:
To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.
Math- what’s 2+2 and how is it calculated
Answer:
4
Step-by-step explanation:
we have 2oranges from you and another 2oranges from your friend, you have 4oranges, simple
3 and (5 + 1 + 3)
What is the answer
Answer:
27
Step-by-step explanation:
3(5+1+3) distribute
15+ 3+ 9 add
27
Scores 18 20 16 13. Find this student's mean quiz score
Answer: 16.75
Step-by-step explanation:
Answer:
16.75
Step-by-step explanation:
To find the mean, add up all the number
18+20+16+13
67
Then divide by the number of quizzes
67/4
16.75
What is 50 divided by 8?
Answer:
6.25 or 6 2/8 or 6 R2
Step-by-step explanation:
MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using? List your answer as a percent rounded to the nearest tenth.
Percentage = ( number used / total number) x 100
32/90 = 0.3555
0.3555 x 100 = 35.56%
Rounded to nearest tenth = 35.6%
Mary Anne is using about 35.6% of her quilt squares stock.
What is percent?A percent is a portion of a whole expressed as a number between 0 and 100 rather than as a fraction.
Percent FormulaPercentage = (Value/Total value) × 100.
According to the given question.
Total number of quilt squares Mary Anne have = 90
Number of quilt squares Mary Anne is using = 32
Therefore,
The percent of her quilt square she is using
= [tex]\frac{32}{90} \times 100[/tex]
[tex]= 0.3555\times 100[/tex]
[tex]= 35.6[/tex] %
Hence, Mary Anne is using about 35.6% of her quilt squares stock.
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Help please due today
Answer:
Base: 24 and height:6
Step-by-step explanation:
Answer:
Base: 24
Height: 6
Step-by-step explanation:
The question says a scale factor of 1/2 so divide by 2. It says scale back
so you know as well that your answer is going to get bigger.
Original Base = 48/2 or (48)x(1/2)
Original Height = 12/2 or (12)x(1/2)
Helpp
Ok I don’t know how they got 3y-24
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
Find the area of the square whose side is 3x2 - y
Answer:
3X2 =6-y
6-y
——-
-6-y = -y squared
Step-by-step explanation:
Ruben needs to read 4 novels each month let N be the number of novels Ruben needs to read in M months write an equation relating in to M
Answer:
Step-by-step explanation:
N = 4(12) = 48 novels
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
What is the answer to |-2|+|-3|
Answer:
5
Step-by-step explanation:
the absolute value of -2 is 2
the absolute value of -3 is 3.
Since the question is adding the absolute values, the answer is 5
What is 1.7¯ expressed as a fraction in simplest form?
16/9.................
Answer:
16/9
Step-by-step explanation:
1. If x = y and x + 2y = 6 then find value of 'y'.
T
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
