what is breaking apart in math
Answers
Answer:
Breaking apart an addend is a mental math strategy for addition. ... This strategy involves breaking up one addend in an equation into more manageable parts. Like many other mental math strategies, this strategy encourages students to think flexibly and to manipulate numbers in different ways
Step-by-step explanation:
Related Questions
11. Which of the following sets of number is not a Pythagorean triple?
A. 9-40-41
B. 9-12-15
C. 5-12-13
D. Not Here
Answers
Consider the lists of length six made with the symbols P, R, O, F, S, where repetition is allowed. (For example, the following is such a list: (P,R,O,O,F,S).) How many such lists can be made if the list must end in an S and the symbol O is used more than once?
Answers
Answer:
96
Step-by-step explanation:
COMBINATIONS & PERMUTATIONS can be confusing but they always have a solution.
Key 1: Understand and/or rewrite the question
Consider the lists of 6 items (out of the 5 letters P,R,O,F, and S; where O is used twice).
NOTE: When they say O is used more than once, don't forget that each list must not exceed 6 items in total. So, O is used twice. Simple!
How many such lists can be made if each list must end in an S?
NOTE: This instruction requires that S doesn't move. It won't change position, and it won't be involved in the rearrangement!
Key 2: Solve the mysteries
Now, S won't move and O is doubled. These rules put a form of restriction on the "n" which is the total number of items involved in the operation. We are supposed to create lists of 6 items but the reality is - only 5 are moving. Recall also that the original number of items involved in the operation is 5.
In this case, n = 5
Then we have 4 items rotating - P, R, O and F - with 1 repeated.
What this means is that for every list starting with the first O, the different arrangements apply to the second O as well.
There is no distinction such as O₁ and O₂. O is O!
Let k = the extra O
(n - k) = 5 - 1 = 4
So each of these 4 letters has 4! (4 factorial) arrangements, that is (4 x 3 x 2 x 1) = 24 arrangements
Multiply 24 by 4 to get 96
Please help me with the answer to this question
Answers
The answer as a result of the numerical expression above is B) 1/36
How to solve rank equationThis expression is rank number:
\(( {6}^{ - 4} ) {}^{ \frac{1}{2} } = 6 {}^{ - 2} = \frac{1}{ {6}^{2} } = \frac{1}{36}.
So the answer as a result of the numerical expression above is 1/36.
From these calculations it can be seen that the rank between what is inside the brackets and what is outside it can be multiplied.
In the question above the power of -4 multiplied by the power of ½ ( (-4×½) the result is -2.
So all that's left is 6⁻². Another form of 6⁻² is 1/6² or 1/36.
This refers to the exponential rule in mathematics, namely a⁻ⁿ can be written as 1/aⁿ.
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For the equation, complete the solution. 7x + y = −18
Answers
Answer:
x= - 18/7 - 1/7y, y
or if you are solving for y= -18-7x, x
( SEE OTHER IMAGE)
Step-by-step explanation:
See image below:)
Answer:
\(x= \frac{- 18 - y }{7}\)
y = - 18 - 7x
Step-by-step explanation:
7x + y = - 18
7x + y - y = - 18 - y
7x = - 18 - y
\(\frac{7x}{7}= \frac{- 18 - y }{7}\)
\(x= \frac{- 18 - y }{7}\)
7x + y = - 18
7x - 7x + y = - 18 - 7x
y = - 18 - 7x
Answer number 1 please.
Answers
\( \sf {a}^{2} = {13}^{2} - {5}^{2} \)
Formula :
Base²= Hypotenuse² - Perpendicular ²
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} = {13}^{2} - {5}^{2} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} =169 - 25\)
\( \\ \\ \)
\( \hookrightarrow\sf {a}^{2} =144\)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = \sqrt{144} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = \sqrt{12 \times 12} \)
\( \\ \\ \)
\( \hookrightarrow\sf {a} = 12\)
Remember the a² in formula has nothing to do with the a we have to find. :)
\(\bold{\huge{\pink{\underline{ Solution }}}}\)
\(\bold{\underline{ Given :-}}\)
We have a right angled triangle whose two sides that is perpendicular and hypotenuse are 5 units and 12 units\(\bold{\underline{ Let's\: Begin:-}}\)
According to the Pythagoras theorem, Pythagoras theorem states that the sum of squares of two small sides that is perpendicular height and base are equal to the square of longest side that is hypotenuseThat is,
\(\sf{\red{ ( Base)² + ( Perpendicular )² = ( Hypotenuse)²}}\)
\(\sf{ ( a )² + ( b )² = ( c )²}\)
Subsitute the required values,
\(\sf{ ( a )² + ( 5 )² = ( 13)²}\)
\(\sf{ a² + 25 = 169}\)
\(\sf{ a² = 169 - 25 }\)
\(\sf{ a² = 144}\)
\(\sf{ a = √144}\)
\(\sf{ a = 12}\)
\(\sf{\blue{ Hence,\: Length \:of \:a\: is \:12 units }}\)
(2/3a - 5) - (1/3a + 3) simplify
Answers
Answer:
i have no idea mate
Hey there!
(2/3a - 5) - (1/3a + 3)
= 2/3a - 5 - 1/3a + 3
COMBINE the LIKE TERMS
= (2/3a - 1/3a) - ( -5 + 3)
= 1/3a - 2
Therefore, your answer should be: 1/3a - 2
OR
A
,
B
and
C
form a triangle where
∠
B
A
C
=
90
∘
.
A
B
=
12.1
mm and
B
C
=
19.7
mm.
Find the length of
A
C
, giving your answer rounded to 1 decimal place.
Answers
Answer:
15.5 mmStep-by-step explanation:
Given:
ΔABC with ∠BAC = 90°, AB = 12.1 mm, BC = 19.7 mmSince BC is opposite to right angle, AC is the missing leg.
Find AC using Pythagorean:
\(AC = \sqrt{BC^2-AB^2} =\sqrt{19.7^2-12.1^2} =\sqrt{241.68} =15.5 mm\)Janie has $3. She earns $1.20d for each chore she does and can do fractions of chores. She wants to earn enough money to buy a CD for $13.50.
Write an inequality to determine the number of chores, c, Janie could do to have enough money to buy the CD.
Answers
Answer:
3+1.20c > 13.50
Step-by-step explanation:
hope this helps
How many factors does the following number have?
Answers
Step-by-step explanation:
myballsnahajahahahahahahahhahajaajjaajjaaaaaja
Answer: 135
exponents are :2,4,8
add on to each: 3,5,9
3*5*9 = 135
Step-by-step explanation:
What is the missing number that makes the fractions equivalent?
1 4/7=?/42
Answers
Answer:
84
Step-by-step explanation:
You need to figure out 7 times what gets you 42
6 x 7 = 42
then you do the same for 14
14 x 6 = 84
sorry if this wasn't a good explanation
Matthew has 5 1/4 bags of fertilizer to spread around his yard. Each bag of fertilizer will cover 115.4 ft 2. How many square feet will Matthew be able to cover if he uses all of the fertilizer?
Answers
Answer:
605.85 (ft 2)
Step-by-step explanation:
5 1/4 * 115.4 = 605.85 (ft 2)
How many students were over 145
Answers
3. What is the slope of the line through the points (2, 5) and (6, 13)?
Answers
Answer:
m = 2
Step-by-step explanation:
\(m=\frac{rise}{run}=\frac{13-5}{6-2}=\frac{8}{4}=\boxed{2}\)
Hope this helps.
I need help help me and no links
Answers
Answer:
Step-by-step explanation:
If you are surveying people about whether they like to swim, where are you more likely to get a random sample?
A) at a local supermarket
B) at a local beach
C) at a swimsuit store
D) outside a local swimming pool
Answers
Answer:
B) a local beach.
At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.
Step-by-step explanation:
Hope it helps! =D
One positive integer is 4 less than twice another. The sum of their squares is 445. Find the integers.
Answers
9514 1404 393
Answer:
11, 18
Step-by-step explanation:
Let x and y represent the two integers.
y = 2x -4 . . . . . one is 4 less than twice the other
x^2 +y^2 = 445 . . . . the sum of their squares is 445
Substituting for y using the first equation, you have ...
x^2 +(2x -4)^2 = 445
5x^2 -16x -429 = 0 . . . . . collect terms, subtract 445
(5x +39)(x -11) = 0 . . . . . . factor*
The positive solution is the value of x that makes a factor zero:
x = 11
y = 2(11) -4 = 18
The two integers are 11 and 18.
_____
* The factoring is greatly aided by the knowledge that x=11 is a solution, found using the graphing calculator.
Use the Product Rule of Logarithms to write the completely expanded expression equivalent to log4 (6(5 + 2x)). Make sure
to use parenthesis around your logarithm functions log(x + y).
Answers
\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .
What are logarithms ?Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.
The most common types of logarithms are the base 10 common logarithm, the base 2 binary logarithm, and the base e ≈ 2.71828 natural logarithm.
Calculationsthe product rule for logarithms is
\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\) for b > 0
now ,
\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)
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Calculate.
12C4
Note: Cr=
n
n!
r!(n−r)!
Answers
Answer:
495
Step-by-step explanation:
using the definition
n\(C_{r}\) = \(\frac{n!}{r!(n-r)!}\)
where n! = n(n - 1)(n - 2) ... × 3 × 2 × 1
then
12\(C_{4}\)
= \(\frac{12!}{4!(12-4)!}\)
= \(\frac{12!}{4!(8!)}\)
cancel 8! on numerator/ denominator
= \(\frac{12(11)(10)(9)}{4!}\)
= \(\frac{11880}{4(3)(2)(1)}\)
= \(\frac{11880}{24}\)
= 495
I NEED HELP PLS HURRY
1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7
Answers
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35
multiply the exponents.
Answer:
We use the rule,
\((a^b)^c = a^{bc}\)
a. (10^7)²
\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)
10^14
b. (10^9)³
\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)
10^27
c. (10^6)³
\(10^{(6)(3)}= 10^{18}\)
10^18
d. (10^2)³
\(10^{(2)(3)} = 10^{6}\)
10^6
e. (10³)²
\(10^{(3)(2)}=10^{6}\)
10^6
f. (10^5)^7
\(10^{(5)(7)} = 10^{35}\)
10^35
Step-by-step explanation:
2 This question has two parts. First, answer Part 1. Then, answer Part 2. Part 1 What is the combined area of the two right triangles? A. 18 square units B. 24 square units C. 36 square units D. 48 square units
Answers
Answer:
C (36 square units)
Step-by-step explanation:
PLEASE NEED ANSWERS!
Answers
Answer: 1
Step-by-step explanation:
Please answer fast
7. Is the simplified form of 2 square root of 3 · square root of 12 rational? (1 point)
Yes
No
Answers
Answer:
Yes it is
Step-by-step explanation:
Because
2) x (sqrt 3) times (sqrt 12)
Two is also equivalent to sqrt of 4. The operation may be expressed as,
(sqrt 4) x (sqrt 3) x sqrt (12)
The product is sqrt (144). This gives an answer of 12 and it is rational.
So, the answer is Yes!
Hope this helped! :)
May i have brainliest!
Answer:
Yes it is
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
12 is the answer and 12 is a rational number
Radicand = The number under the inclusion bar of the radical sign.
Product = The result of two numbers being multiplied together.
Factor = One of two or more expressions that are multiplied together to get a product.
what is the diameter of a circle that has a radius of 121 feet ?
Answers
Answer:
242 feet
Step-by-step explanation:
What is diameter?Diameter is the length across the entire circle, the line splitting the circle into two identical semicircles.
To calculate the diameter when given radius, we can use this equation:
radius × 2 = diameterInserting 121 into the equation:
121 × 2 = 242 feet.Therefore, the diameter of a circle that has a radius of 121 feet is 242 feet.
What is the total surface area
Answers
Answer:
Step-by-step explanation:
The surface area of the rectangular prism is given by formula S=2(ab+bh+ah). Find the value of h when a=6, b=5 and s=214
Answers
The value for the height of the rectangular prism is found as; h = 7.
What is defined as the rectangular prism?A rectangular prism is a three dimensional solid shape with six faces that have rectangles as their bases. Right rectangular prisms as well as non-right (oblique) rectangle prisms are the two types of rectangular prisms. The right rectangle prism does have two parallel end faces and 4 lateral faces, each of which is an rectangle; this same faces are perpendicular to the bases of the prism.The formula for the surface area of rectangular prism is;
S = 2(ab+bh+ah)
Where,
a=6, b=5 and s=214
Substitute the values in the formula.
214 = 2(6×5 + 5h + 6h)
Simplifying;
30 + 11h = 107
11h = 107 - 30
11h = 77
h = 7
Thus, the value for the height of the prism is found as; h = 7.
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How do I divide x+8/2
Answers
Answer:
you dont divide it.
Step-by-step explanation:
x+8/2 can mean a few things cause its not very clear.
x+ 8/2
x+8/2 (x+8 over 2)
8/2=4 so if its x + 8/2 thats just x+4
in each of the following cases, you are given a set of numbers. in each case, determine whether this set of numbers can be a domain of convergence for a power series. if it cannot, explain why it cannot. if it can, give an example of a power series that has this set as its domain of convergence.
a. [-1,3)
b. (-1,3)
c. (-1,3]
d. [-1,3]
Answers
The possible domain of the convergence are b. (-1,3) and c. (-1,3]
Domain of convergence.
In statistics, domain of the convergence also known as interval of convergence means an interval associated with a given power series such that the series converges for all values of the variable inside the interval and diverges for all values outside it.
Given,
Here we need to identify in which of the options are domain of convergence.
As per the definition of domain of convergence, the interval of the convergence is (-∞ , ∞).
So, the possible convergence in the given options are (b) and (c).
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PLEASE HELP!!!
Everyone at Greg's school wore either blue or orange for school spirit day. Of the 100 students at the school, 80% wore blue. How many students wore blue?
Answers
Answer:80 students
Step-by-step explanation:
80% of 100 is 80. :)
So 80 students wore blue
make e the subject
e-5=2f
Answers
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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