What is 4 1/3 * 2 1/7 as a mixed number in simplest form?
Answer:
9 2/7
Step-by-step explanation:
4 1/3=13/3
2 1/7=15/7
13/3*15/7= 195/21
=9 6/21
=9 2/7
Hi there!
Answer:
9 2/7
Step-by-step explanation:
4 1/3 = 13/3
2 1/7 = 15/7
Now you have to multiply
Which equals to: 195/21
Since this is a improper fraction, you have to divide.
195 divided by 21.
=9 2/7
Below is a picture of how you should divide (using long division).
~Have a great day!~
If you have any questions, feel free to ask!
<3 WILL MARK BRAINLIEST! (´°0 °`)
~~~~~~~~~............~~~~~~~~~....><
using complete sentences discuss a different kinds of real numbers in your answer. Give an example of each type and discuss which set each type.
Answer:
Real numbers are mainly classified into rational and irrational numbers. Rational numbers include all integers and fractions. All negative integers and whole numbers make up the set of integers. Whole numbers comprise of all natural numbers and zero.
There are 4 types of real numbers.
Rational Numbers
Irrational Number
Natural Numbers
Whole Numbers
What are the real numbers?Real numbers include rational numbers like positive and negative integers, fractions, and irrational numbers.
The set of real numbers, which is denoted by R, is the union of the set of rational numbers (Q) and the set of irrational numbers.
Rational Numbers; Any number specified in the form of a p/q or ratio fraction is called a rational number. The numerator is defined as p, and the denominator is represented as q, where q is not equal to zero. A rational number may be an integer, whole, and natural number.
For example: 0.67, 17, 214, etc.
Irrational Number; Irrational numbers are defined as the real number that cannot be represented as a simple fraction. In other words, it cannot be represented as a ratio, such as p/q, where p and q are integers, q≠0. It is the opposite of rational numbers.
For example; √5, √11, √21, etc.
Natural Numbers; An integer greater than 0 is a natural number. Natural numbers start at 1 and move to infinity.
For example; 1, 2, 3, 4, 5.
Whole Numbers; The whole number is the number system that contains all positive integers from 0 to infinity. The whole number is an integer of 0 or greater numbers.
For example: 1, 2, 3, 4, 5…..
Learn more about real numbers here;
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Two brothers are painting pictures. One of the
brothers paints 7 pictures in a day. The other
brother paints 8 pictures but it takes him x days
to do so. Together they painted 13 pictures in
x days. The expression above models this
problem. What does represent?
A) The number of days it takes the brothers to
paint 13 pictures
B) The rate at which the two brothers work
together
C) The rate at which the second brother paints
D) The number of days it takes the first brother
to paint 13 pictures
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Assuming you are asking what does x represent when you say "What does represent" the answer is a: the number of days it take the brothers to paint 13 pictures.
The first 2 sentences are useless and don't tell you anything (well they do but you don't need the information).
Both brothers can paint 13 pictures in x days.
So x means days, more specifically, the number of days it took for the brothers to paint 13 pictures.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
solve for x ( need asap )
It is 26 if you needed answer asap
Answer: 26
Step-by-step explanation: the angles are on a straight line and all angles on a straight line add up to 180°, so, you subtract 49 from 180 to get 131 then subtract 1 ( because instead of adding you to subtract to see what was added to get 131) then divide 130 by 5 ( because 5x is the value × 5 ) and you get 26
what's the answer? (5-1×2×6)+1×0 =
Answer:
-7
Step-by-step explanation:
Answer: -7
explanation: simplify the expression
brainliest or a thank you please :)) <33
5 less than a number is equivalent to 1 more than 3 times the number. What is the number
Answer:
5-x=1+3x the number is 1
Step-by-step explanation:
7) If AB = 3x - 8 and BC = x + 12, find the value of x.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
In a square ABCD, if AB = (3x-8) and BC = (x+12), find the value of x. Also, find the length of each side of the square.
Note that all sides of a square are equal. Hence AB = BC for the square ABCD.
Given AB = (3x-8) and BC = (x+12), then AB = BC
3x-8 = x+12
collect like terms;
3x-x = 12+8
2x = 20
x = 20/2
x = 10
Substitute x = 10 into any of the side. Using side AB
AB = 3x-8
AB = 3(10)-8
AB = 30-8
AB = 22
BC = x+12
BC = 10+12
BC = 22
Hence x = 10 and the length of each side is 22
A classroom consists of 14 boys, 10 girls, and 1 teacher. Write the ratio of girls to boys. (Be sure to write your ratio all 3 ways.)
Answer:
10:14
10/14
10 to 14
about 0.71
Step-by-step explanation:
different way to write ratios
?:?
?/?
? to ?
decimal
(not sure which 3 ways so I'll just do all 4)
girl:boy
10:14
10/14
10 to 14
about 0.71
Answer:
Step-by-step explanation:
what value of x will make the equation true
Answer:
5 is the value of x
Answer:
It would be 5 square
Step-by-step explanation:
Planes X and Y and points J, K, L, M, and N are
shown.
Exactly how many planes contain points J, K, and N?
A) 0
B) 1
C) 2
D) 3
Answer:
Step-by-step explanation: it’s C
The radius of a sphere-shaped balloon increases at a rate of 2 centimeters (cm) per second. If the surface area of
the completely inflated balloon is 784 cm², how long will it take for the balloon to fully inflate?
Use SA=4r2
7 seconds
10 seconds
49 seconds
196 seconds
Answer:
7 seconds
Step-by-step explanation:
SA = 4πr²
784π = 4πr²
196 = r²
r = 14
At 2 cm/s, it takes 7 seconds to reach a radius of 14 cm.
Answer:
Answer is A, 7 seconds
Step-by-step explanation:
Answer is A on edgenuity, answers do not mix
plz i gotta turn it in today
2) B
3) C
it my answer it mybe not true
The gas tank of your car holds 10 1/3 gallons of gas. Your tank is one-quarter full. How much gas should you add to fill up your tank?
Answer:
4 1/4
Step-by-step explanation:
10 1/3 = 33/3 33/3 divided by 4 = 33/12 so one quarter of your tank can hold 33/12
now just do 33/12 times 3 which is 33/4 or simplified 4 1/4
7w=1/2(w+v)
Solve for v.
Answer:
v = 13w
Step-by-step explanation:
[tex]7w = \frac{1}{2} (w+v)\\\\7w =\frac{(w+v)}{2} \\\\Cross\:Multiply\\7w\times 2 =w+v\\\\14w = w+v\\\\Collect\:like\:terms\\14w-w =v\\\\v = 13w[/tex]
For every 3 days of vacation, Farah packs 4 outfits. Which of the following statements are true. Please hurry with the answer
Answer:
choice b d and e
Step-by-step explanation:
4 of the power of 5 times 4 of the power of negative 7 divided by 4 of the power negative 2
Answer:
1
Step-by-step explanation:
[tex] {4}^{5} \times {4}^{ - 7} \div {4}^{ - 2} \\ = \frac{ {4}^{5} \times {4}^{ - 7} }{ {4}^{ - 2} } \\ \\ = \frac{ {4}^{5 + ( - 7)} }{ {4}^{ - 2} } \\ \\ = {4}^{5 + ( - 7) + 2} \\ \\ = {4}^{5 - 7 + 2}\\ \\ = {4}^{7 - 7 } \\ \\ = {4}^{0} \\ \\ = 1 \: \: ( \because \: {a}^{0} = 1)[/tex]
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
10.8 we're attempted.
Step-by-step explanation:
60% of 18 is 10.8
Bentley signed up for a streaming music service that costs $13 per month. The service
allows Bentley to listen to unlimited music, but if he wants to download songs for
offline listening, the service charges $0.75 per song. How much total money woul
Bentley have to pay in a month in which he downloaded 10 songs? How much would
he have to pay if he downloaded s songs?
Answer: Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
Step-by-step explanation:
As per given,
Total amount need to pay = (Monthly cost) + (Number of songs downloads) x (Charges for each song)
Here, Monthly cost = $13
Charges for each song = $0.75
If Number of songs downloads = 10
Then, Total amount need to pay = $ (13 +(10) (0.75))
= $( 13+7.5)
= $ 20.5
So, Bentley have to pay $20.5 in a month in which he downloaded 10 songs.
If Number of songs downloads = s
Then, Total amount need to pay (in $) = 13 + (s)(0.75)
= 13+0.75s
So, Bentley have to pay $(13+0.75s) in a month in which he downloaded s songs.
If Number of songs downloads = 10
$ 20.5
If Number of songs downloads = s
13+0.75s
The shape of f(x) = |x|, but shifted 12 units up and then reflected in the x-axis
Answer:
image below
Step-by-step explanation:
Transformation involves changing the position of a function.
The new function is [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
The function is given as:
[tex]\mathbf{f(x) = |x|}[/tex]
When the function is shifted 12 units up,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,y+12)}[/tex]
So, the function becomes
[tex]\mathbf{f'(x) = |x| + 12}[/tex]
When the function is reflected in the x-axis,
The rule of transformation is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, the function becomes
[tex]\mathbf{f"(x) = -(|x| + 12)}[/tex]
Expand
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Hence, the new function is:
[tex]\mathbf{f"(x) = -|x| - 12}[/tex]
See attachment for the graphs of [tex]\mathbf{f(x) = |x|}[/tex] and [tex]\mathbf{f"(x) = -|x| - 12}[/tex]
Read more about transformations at:
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Divide 26hours and 6minutes by 6.
Answer:
26 hours + 6 minutes can also be said as 1560 min + 6 minutes
1560+6/6 = 1566/6 = 261
That is = 4 hours and 21 minutes
Help please!!!!! Thank you
Answer:
C
Step-by-step explanation:
So we know that:
[tex]f(3)=-2\text{ and } f(4)=-4[/tex]
This is the same as saying we have two coordinates: (3,-2) and (4,-4).
Let's find the equation of the linear function.
First, let's find the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute (3,-2) for x₁ and y₁ and let (4,-4) be x₂ and y₂:
[tex]m=\frac{-4--2}{4-3}[/tex]
Simplify:
[tex]m=-2/1=-2[/tex]
So our slope is -2.
Now, use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Let's use (3,-2) for x₁ and y₁ and use -2 for m:
[tex]y+2=-2(x-3)[/tex]
Now, we can figure out the x-intercept.
Recall that the x-intercept is when the graph touches the x-axis.
In other words, the y-value would be 0. It will be (x,0).
So, to solve for the x-intercept, substitute 0 for y and solve for x:
[tex]0+2=-2(x-3)[/tex]
Simplify and distribute the right:
[tex]2=-2x+6[/tex]
Subtract 6:
[tex]-4=-2x[/tex]
Divide both sides by -2:
[tex]x=2[/tex]
So, our x-intercept is (2,0)
How to factorise 9a^2bc^3 -27abc
Answer:
9abc(ac² - 3)
Step-by-step explanation:
Given polynomial:
9a²bc³ -27abcFactors of the terms:
9a²bc³ = 3*3*a*a*b*c*c*c27abc = 3*3*3*a*b*cCommon factors of the above:
3*3*a*b*c= 9abcSo the answer:
9a²bc³ -27abc = 9abc(ac² - 3)a = -bcd
Not sure how I'm suppose to get the answer without dividing first.
Answer:
-1/cd
b = -a/cd
Step-by-step explanation:
a = -bcd
Multiplication and division are inverse operations
Multiply each side by -1/cd
a* -1/cd = -bcd * -1/cd
-a /cd = b
how do i solve number 8 and 9?
Answers & Step-by-step explanation:
A square root is a number that when multiplied by itself, equals the number you were asked to square root. For example, 2 is the square root of 4, because 2 x 2 = 4.
There is a method in algebra to simplify square roots into smaller square roots, where one can be solved. To do this, we need to find a perfect square that can be multiplied with the other square root to equal the number you were asked to square root.
Now, let's solve your problems!
___________________________________________________________
5.[tex]\sqrt{56}[/tex] = [tex]\sqrt{2^{2} * 14[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{14}[/tex]
Since we can't solve [tex]\sqrt{14}[/tex], this is the final answer that your assignment is wanting.
___________________________________________________________
6.[tex]\sqrt{84}[/tex] = [tex]\sqrt{2^{2} * 21[/tex]
Now, we pull out the [tex]2^{2}[/tex] from under the radical, since we can square root this. [tex]\sqrt{2^{2} }[/tex] is simply 2.
[tex]2\sqrt{21}[/tex]
Since we can't solve [tex]\sqrt{21}[/tex], this is the final answer.
___________________________________________________________
7.[tex]\sqrt{-9}[/tex] = [tex]\sqrt{-1 * 9}[/tex]
Now, since this the number is negative, we must separate the negative out. so [tex]\sqrt{-9}[/tex] becomes [tex]\sqrt{-1 * 9}[/tex]. Since the square root of 9 is 3, we can rewrite this as:
[tex]3\sqrt{-1}[/tex]
However, since [tex]\sqrt{-1}[/tex] is imaginary, we must replace it with i. This also allows us to get rid of the square roots.
The answer becomes:
3i
___________________________________________________________
8.[tex]3\sqrt{18}[/tex]
This one is already partly simplified. Notice how the 3 is not under the radical. The only thing we have to work with is the [tex]\sqrt{18}[/tex].
[tex]\sqrt{18}[/tex] = [tex]\sqrt{9 * 2}[/tex]
We can square root 9 to get 3.
[tex]3\sqrt{2}[/tex]
Now, we multiply back the 3 from earlier to get:
[tex]9\sqrt{2}[/tex]
___________________________________________________________
9.[tex]\sqrt{28a^{2}b^{3} }[/tex]
This one may look daunting because we have the variables, but we can break it down and solve it just as easily as the rest. The first step is to square root the a² term, the answer is a. We can rewrite this as:
[tex]a\sqrt{28b^{3} }[/tex]
Next, we need to simplify [tex]\sqrt{28}[/tex], just like we did with all the other problems.
[tex]\sqrt{28}[/tex] = [tex]\sqrt{4 * 7}[/tex]
Since [tex]\sqrt{4}[/tex] is 2, we can move it out of the radical.
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
Since we can do anything with the [tex]b^{3}[/tex] term, that stays under the radical.
The answer is:
[tex]2a\sqrt{7b^{3} }[/tex]
___________________________________________________________
I AM ALWAYS HAPPY TO HELP :)7.777 rounded to the nearest hundreths
Answer:
7.77
Step-by-step explanation:
just take off the 7 in the 100ths place :)
Answer:
7.800
Step-by-step explanation:
Because 7 is close to 8 so it would turn into 800
hope this helps ;)
x+y=7
-x+y=-5
Quero a equação pelo método de adição, rápido u.u
Answer:
Step-by-step explanation:
x + y = 7
-x + y = -5
2y = 2
y = 1
x + 1 = 7
x = 6
(6, 1)
pls help ASAP
which of these is an approximation of 7/9 to the nearest hundred A) 0.078 B) 0.78 C) 1.29 D) 7.8
Answer:
B. 0.78
Step-by-step explanation:
0.78 would be closest to the nearest hundredth, depending on where the decimal is depends on how many numbers that come after the decimal.
Therefore 0.078 would be to the nearest thousandths and 7.8 would be to the nearest tenths.
Answer:
B
Step-by-step explanation:
I recommend simply using a calculator. If you divide 7/9 you would bet 0.7 (repeating). Round to the hundredths and you would get 0.78
Can you help me with this assignment?
Answer:
AC =5
BC = 12
AB = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2
(n-1)^2 + (2n)^2 = (n+7)^2
FOILing
n^2-2n+1 + 4n^2 = n^2+14n+49
Combine like terms
5n^2-2n+1 = n^2+14n+49
Bring everything to the left
5n^2-2n+1 -n^2-14n-49 = n^2+14n+49-n^2-14n-49
4n^2 -16n -48 = 0
Divide by 4
n^2 -4n -12 = 0
Factor
( n-6)(n+2) =0
Using the zero product property
n-6 =0 n+2 =0
n=6 n=-2
Since the length cannot be negative
n=6
AC = n-1 = 6-1 =5
BC = 2n = 2*6 = 12
AB = n+7 = 6+7 = 13
Given :
Hypotenuse of right angle triangle = n + 7
Base = n - 1
Altitude = 2n
Using Pythagoras theorem :
→ ( n + 7 )² = (n - 1)² + (2n)²
→ n² + 14n + 49 = n² - 2n + 1 + 4n²
→ n² + 14n + 49 = 5n² - 2n + 1 = 0
→ n² + 14n + 49 - 5n² + 2n - 1 = 0
→ -4n² + 16n + 48 = 0
→ -4(n² - 4n - 12) = 0
→ n² - 6n + 2n - 12 = 0
→ n(n - 6) + 2(n - 6) = 0
→ (n - 6)(n + 2) = 0
As n ≠ Negative
So, n ≠ -2
So, n = 6
Hypotenuse = n + 7 = 6 + 7 = 13
Base = n - 1 = 6 - 1 = 5
Altitude = 2n = 2 × 6 = 12
So,
AB = 13
AC = 5
BC = 12
A map has a scale of 1cm:20 km two cities are 2.5 cm apart on the map to the nearest tenth of a kilometer what is the actual distance corresponding to the map distance
Answer: 50 km
Step-by-step explanation: So the map has a scale of 1 cm: 20 km. Next, you look at how far they are apart and see if the scale and the distance on the map are the same measurement. In this case, they are both centimeters so they stay the same. Then, all you do is multiple the real size, 20 km, by
2.5 /1 . Then, 20 x 2.5=50. So the answer is 50 km
The elevation E, in meters, above sea level at which the boiling point of a certain liquid is t degrees Celsius is given by the function shown below. At what elevation is the boiling point 119.5? 120? E(t)= 1200(120-t)+520(120-t)^2 At what elevation is the boiling point 119.5?
E(119.5)= (the answer) meters
Answer:
[tex]E(119.5)= 730m[/tex]
Step-by-step explanation:
Given
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Required
Determine E(119.5)
[tex]E(t)= 1200(120-t)+520(120-t)^2[/tex]
Simply substitute 119.5 for t
[tex]E(119.5)= 1200(120-119.5)+520(120-119.5)^2[/tex]
Evaluate the expressions in bracket
[tex]E(119.5)= 1200(0.5)+520(0.5)^2[/tex]
Solve 0.5²
[tex]E(119.5)= 1200 * 0.5+520*0.25[/tex]
[tex]E(119.5)= 600+130[/tex]
[tex]E(119.5)= 730[/tex]
Hence;
[tex]E(119.5)= 730m[/tex]