Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
Learn more about Fraction here:
https://brainly.com/question/10354322
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Rationalise the denominator and simplify:
7/√7
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]
[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]
[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]
[tex] = √7[/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]
Step-by-step explanation:
Given,
7/√7
The denominator is √7.
We know that
Rationalising factor of √a is √a.
Therefore, the rationalising factor of √7 is √7.
On rationalising the denominator them
=> (7/√7) × (√7/√7)
=> 7(√7)/(√7 × 7)
=> 7√7/7.
Hence, the denominator is rationalised.
A tiger eats about 15 pounds of food per day. A large dogs eats about 18 ounces of food per day. How many more pounds of food does a tiger eat per day?
A) 12 3_4pounds
B) 13 1_2pounds
C) 13 7_8pounds
D) 14 1_9pounds
Answer:
B
Step-by-step explanation:
Find the value of x in the isosceles triangle shown below.
The solution of the equation3^×=2 is
Answer:
x = log 2 / log 3
x=0.63092
Step-by-step explanation:
3^×=2
Take the log of each side
log 3^×= log2
We know that log a^b = b log a
x log 3 = log 2
Divide each side by log 3
x = log 2 / log 3
x=0.63092
Answer:
x ≈ 0.63093
Step-by-step explanation:
[tex] \small \sf \: 3 {}^{x} = 2[/tex]
Take the log of both side
[tex] \small \sf \: log 3 {}^{x} = log 2[/tex]
Use log a( a ^ x ) = x to simplify the equation
x log 3 = log 2
Divide each side by log 3
x = log 2 / log 3
x ≈ 0.63093
ZA and ZB are complementary angles. If m A = (2x – 13) and m
ZB = (4x - 5), then find the measure of ZB,
Answer:
43º
Step-by-step explanation:
complementary angles total 90
(2x - 13) + (4x - 5) = 90
Combine like terms
6x - 18 = 90
6x = 72
x = 12
ZB = 4x - 5
ZB = 4(12) - 5
ZB = 43º
A boat sails due south from a port at a steady speed of 9km/h. The wind blows the boat due west at a speed of 3km/h. How far is the boat from the port after one hour?
I need to figure this out with the formula a2 + b2 = c2
We are solving for c2 - the hypotenuse.
Answer:
10
Step-by-step explanation:
a^2+b^2=c^2
9^2+3^2=c^2
81+9=c^2
100=c^2
c=10
PLEASE HELP! Find code (answer)
Answer:
code = 56
Step-by-step explanation:
E = GCF(22,30) = 2
F = LCM(3,8) = 24
Given
3 * (7+10) = G +30 => 51 = G + 30 => G = 21
5 * (3+H) = 15 + 45 => 3+H = (60/5) = 12 => H = 12 - 3 = 9
Sum E + F + G + H = 2 + 24 + 21 + 9 = 56
Answer:
code would be 56
Step-by-step explanation:
hope this helps mate !
what is the answer to 3x + 2(4x − 6) = 8x + 1
Answer:
x=13/3
Step-by-step explanation:
Can anyone help me out
Answer:
12k^5 +24k⁴+30k³
Step-by-step explanation:
the area = 6k³(2k²+4k+5)
= 12k^5 +24k⁴+30k³
a car company reduced the amount of cars produced from 500000 to 420000. what is the percent decrease in the amount of car produced?
When you find the surface area of a cube, you ________ the length of the cube and
multiply by 6
Answer:
The word for the blank would be "square".
Step-by-step explanation:
Since the area of a face of a cube would be square its side length, the total surface area of a cube would be that times 6.
Hope this helped!
Answer:
square
Step-by-step explanation:
the area of a cube is found by squaring the length
The diagram shows squares 1,2, and 3 constructed on the sides of a right triangle. Which statement about the squares must be true?
Answer:
Option D.
Step-by-step explanation:
Remember the Pythagorean theorem.
For a triangle rectangle of catheti A and B, and hypotenuse H, we have:
A^2 + B^2 = H^2
Now, also remember that for a square of sidelength L the area is:
area = L^2
First, you can see that square 1 has a side length equal to one of the catheti, and the same for square 2. While square 3 has a side lenght equal to the hypotenuse of the triangle.
If we define:
A = length of the smaller cathetus
then the area of square 1 is:
A^2
B = length of the larger cathetus.
The area of square 2 is then:
B^2
H as the length of the hypotenuse:
The area of square 3 is:
H^2
And by Pythagorean theorem we know that:
A^2 + B^2 = H^2
We can replace these by:
area of square 1 + area of square 2 = area of square 3.
Then the correct option is D.
please help i will give brainliest thank you
Answer
MULTIPLY 2.2 & 5.5
Step-by-step explanation:
f(x)=x^2-5 find f(7)
Answer:
44
Step-by-step explanation:
substitute the 7 into the equation for x
f(x) = [tex]x^{2}[/tex] - 5
f(7) = [tex]7^{2}[/tex] - 5
f(7) = 49 - 5
f(7) = 44
Answer:
f(7) = 44
Step-by-step explanation:
To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:
f(7) = 7^2 - 5 = 49 - 5 = 44
So: f(7) = 44
Select the correct answer. The numbers of pages in the books in a library follow a normal distribution. If the mean number of pages is 180 and the standard deviation is 30 pages, what can you conclude? A. About 60% of the books have fewer than 150 pages. B. About 16% of the books have fewer than 150 pages. C. About 95% of the books have more than 150 pages. D. About 16% of the books have more than 150 pages.
Answer:
c
Step-by-step explanation:
Can someone please help
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake
Answer:
The answer is below
Step-by-step explanation:
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1?
Solution:
The Richter magnitude scale was developed in 1935 by Charles F. Richter. The Richter scale is used to measure the strength of earthquakes.
The magnitude of an earthquake (M) using a Richter scale is given by:
[tex]M=log(\frac{I}{I_o} )\\\\Where\ I\ is\ the\ intensity\ of\ the \ earthquake,I_o\ is \ the\ intensity\ of\\the\ reference\ earthquake.\\\\Given\ that\ M=4.8,I_o=1.\ Hence:\\\\4.8=log(\frac{I}{1} )\\\\4.8=log(I)\\\\I=e^{4.8}\\\\I = 121.5[/tex]
What are the apparent coordinates of the midpoint of ab
Answer:
A. [tex](-1,-2)[/tex]
Step-by-step explanation:
Hope this helps you.
( -4, 1 ) and ( 2 , -5 )
Now,
mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2
= ( -2 /2 ) , ( -4 /2)
= ( - 1, - 2 )
A ( - 1, - 2 )
I hope it's help you...
Mark me as brainliest...
Let g be the function defined by g(x) = x3 + x. If f(x) = g-1(x) and f(2) = 1, what is the value of f ′ (2)?
Answer:
f'(2) = 1/4
Step-by-step explanation:
We know that:
g(x) = x^3 + x
and f(x) is the inverse function of g(x), such that:
f(2) = 1
this is because:
g(1) = 1^3 + 1 = 2
We want to find:
f'(2)
The general formula for this case is:
if f(x) is the inverse of g(x)
and f(x) = y
then:
f'(y) = 1/g'(x)
Then in this case,
f'(2) = 1/g'(1)
so we just need to differentiate g(x)
g'(x) = 3*x + 1
and:
g'(1) = 3*1 + 1 = 4
Then:
f'(2) = 1/g'(1) = 1/4
f'(2) = 1/4
HOW DO YOU DO THIS I KNOW ITS EASY BUT I FEEL LIKE IM DOING IT WRONG
Answer and Step-by-step explanation:
We're given an isosceles triangle, because it says the two side are congruent. That means the base pairs are congruent as well, meaning the other angle (not x) is 75.
We know that the sum of a triangle's angles is 180, so if we subtract the known angles, we can find x.
180 - 75 - 75 = x
30 = x
So, x = 30.
#teamtrees #PAW (Plant And Water)
We know that a triangles full degree is 180 and we can see that this triangle is symmetrical. So first you add 75 to 75 and get 150, then you subtract 150 from 180 and get 30.
x=30
Can I please have a brainliest? I want to rank up
Solve for x:
5 + 3x = 8x - 15
Answer:
4 =x
Step-by-step explanation:
5 + 3x = 8x - 15
Subtract 3x from each side
5 + 3x-3x = 8x-3x - 15
5 = 5x -15
Add 15 to each side
5+15 = 5x -15+15
20 = 5x
Divide each side by 5
20/5 = 5x/5
4 =x
(12 POINTS)If you can’t help out it would mean so much ty!!!
The perimeter of the square below is 36 yards. What is the length of each side?
Answer:
A square has all its four sides equal. So the length of one side is equal to the perimeter devided by four
Answer:
9 yards
Step-by-step explanation:
A square has 4 congruent sides
Given the perimeter, the sum of the 4 sides is 36 yards, then
length of side = 36 ÷ 4 = 9 yards
WILL GIVE BRANLIEST! pls help thank u sm!! :-) u are all amazing
Answer:
Step-by-step explanation:
sorry dont know ut
Given the following quadratic equation: 0 = (x - 8) (3x - 5)
Find the solutions (Show all work) need help please
Answer:
x=8
x=5/3
Step-by-step explanation:
evey bracket equal =0 to get solution
x-8=0
x=8
3x-5=0
3x=5
x=5/3
Answer:
x=5/3 or x=8
Step-by-step explanation:
0=3x^2-29x+40
-3x^2+29x-40=0
(3x-5)(x-8)=0
-3x+5=0 or x-8=0
x=5/3 or x=8
Use the number line to find the measure of SV please help
Answer:
8
Step-by-step explanation:
count up from where s is (-7) to where v is (1) there are 8 numbers in between them. making that he length
Answer:
S= -7 to V= 1 so your answer is 8
Ill mark as brainiest :)
Answer:
1 ruler costs $0.60
Step-by-step explanation:
$20-$4.70=$15.30
Calculator =$7.50
3 Packs of Pens = $1.80 each
4 rulers= x each
$7.50 + 3($1.80) + 4x = $15.30
7.50 + 5.40 + 4x = 15.30
12.90 + 4x = 15.30
4x = 2.40
x = 0.60
Use long division to find the quotient below.
(2x² - 5x-3) + (x-3)
O A. X-1
B. X+1
O C. 2x-1
O D. 2x + 1
Answe
Đáp án: A
Step-by-step explanation:
This square and a triangle have the same area.
8 cm
? cm
9 cm
What is the length of one side of the square??
cm
Answer:
[tex]18cm[/tex]
Step-by-step explanation:
A of triangle =
[tex] \frac{1}{2} bh[/tex]
[tex] \frac{1}{2} \times 9 \times 8[/tex]
[tex] = 36cm2[/tex]
A of square=
[tex]s2[/tex]
[tex]36 = s2[/tex]
[tex] \sqrt{36cm2} = \sqrt{s2} [/tex]
[tex]18cm = s[/tex]
pls say the answer :( pls say it
Refer to the pic ...(◕ᴗ◕✿)✌️✌️
A ball is thrown from an initial height of 4 feet with an initial upward velocity of 30 feet per second. Find all values of t for which the ball's height is 17 feet.
Answer:
0.43 seconds
Step-by-step explanation:
Given Data
Initial height= 4feet
initial velocity u= 30ft per second
Final height = 17 feet
The distance travelled is the
Final-initial height
=17-4
=13ft
Hence the time taken is calculated using the expression below
Speed= distance/time
30=13/t
t= 13/30
t= 0.43 seconds
Hence the time taken is 0.43 seconds