[tex]\dfrac{5^{-3}}{6^{-2}}=\dfrac{\left(\dfrac 1{5^3}\right)}{\left(\dfrac 1{6^2}\right)} = \dfrac{1}{5^3} \times 6^2 = \dfrac{36}{125}[/tex]
how to simplify 3x - 20
Answer:
thats as simple as it gets unless you meant to write 3x=-20, then it would be x = 20/3
Answer:
This cannot be simplified
Step-by-step explanation:
3x-20 is the answer
Given m||n, find the value of x.
m
t
(5x-5)
(6x-27)
Step-by-step explanation:
due to the laws of symmetry of the angles of 2 crossing lines (and parallel lines are simply repeating and mirroring these angles), both angles must be equal.
5x - 5 = 6x - 27
-5 = x - 27
x = 22
How to do question 10 a?
Answer:
23 hgrghhgfggggggghhhhh
Answer:
I looked at all those numbers and they all say d=0
Step-by-step explanation:
the sum of -15/32 and 7/31 is which of the following answers: 1/4, -11/16, -1/8, -1/4
Answer:
-11/16
Step-by-step explanation:
1) Find the Least Common Denominator (LCD) of [tex]\frac{15}{32} ,\frac{7}{31}[/tex] In other words, find the Least Common Multiple (LCM) of 32,31.
Method 1: By Listing Multiples
1. List the multiples of each number.
Multiples of 32: 31,64,96,... 928, 960 ,992,...
Multiples of 31: 31, 62, 93 , ... , 930, 961 , 992, ...
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 992
Method 2: By Prime Factors
1. List the prime factors of each number.
Prime Factors of 32: 2,2,2,2,2
Prime Factors of 31: 31
2. Find the union of these primes.
2,2,2,2,2,31
3. Multiply these numbers: 2 * 2 * 2 * 2 * 2 * 31 = 992. This is the LCM.
LCM = 992
2) Make the denominators the same as the LCD.
[tex]-\frac{15*31}{32*31} +\frac{7*32}{31*32}[/tex]
3) Simplify. Denominators are now the same.
[tex]-\frac{465}{992} +\frac{224}{992}[/tex]
4) Join the denominators.
[tex]\frac{-465+224}{992}[/tex]
5) Simplify
[tex]-\frac{241}{992}[/tex]
Decimal Form: -0.242944
help me please!!!??
Answer:
1/6
0.95833333333
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/6 (1/4) + 17/24 = 1/24 + 17/24
=3/4
X(squared) + 16x +60=0
Solving quadric equations by factorising
Answer:
x = - 10, x = - 6
Step-by-step explanation:
x² + 16x + 60 = 0
Consider the factors of the constant term (+ 60) which sum to give the coefficient of the x- ter (+ 16)
The factors are + 10 and + 6 , since
10 × 6 = 60 and 10 + 6 = 16 , then
(x + 10)(x + 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x + 6 = 0 ⇒ x = - 6
Why do you skip count by 2s on the number line
Answer: It all depends on what type of number line you're doing.
Step-by-step explanation:
If x = 9 , evaluate the following expression: x + 6
Answer:
15 very simple
Step-by-step explanation:
im always right
A farmer harvests 850kg of parsnips.30% go to the local market and 50% go to a local supermarket.What mass of parsnips are left?
Answer:
170 kg. of parsnips are left
Step-by-step explanation:
Given:
850 kg. of parsnips
30 % to the local market
50 % to a local supermarket
Solution:
First, add the two percentages.
30 + 50 = 80%
That means 80 % of parsnips mass go to the markets.
Now let's find the mass of delivered parsnips.
Change 80% to decimal form.
80% = 0.8
Now multiply it by 850 kg.
850 x 0.8 = 680
The delivered parsnips mass is 680 kg.
Now to find the mass of parsnips left, subtract 680 to 850
850 - 680 = 170 kg.
170kg. of parsnips are left.
(2/3)³×(-3/4)²×(-1)²⁰⁰³
(2/5)²×(-5/12)³
Answer:
Step-by-step explanation:
[tex](-1)^{n} = -1 , if \ n \ is \ a \ odd \ integer\\\\\\\\(-1)^{2003} =-1 \\\\(\dfrac{-3}{4)}^{2}=\dfrac{3}{4}, \ as \ 2 \ is \ even \ number.\\\\(\dfrac{2}{3})^{3}*(\dfrac{-3}{4})^{2}*(-1)^{2003}=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{4^{2}}*(-1)\\\\\\=\dfrac{2^{3}}{3^{3}}*\dfrac{3^{2}}{2^{4}}*(-1)\\\\\\=\dfrac{-1}{3^{3-2}*2^{4-3}}\\\\\\=\dfrac{-1}{3^{1}*2^{1}}\\\\=\dfrac{-1}{6}[/tex]
[tex](\dfrac{2}{5})^{2}*(\dfrac{-5}{12})^{3}=\dfrac{2^{2}}{5^{2}}*\dfrac{(-5)^{3}}{(2^{2}*3)^{3}}\\\\\\=\dfrac{2^{2}}{5^{2}}*\dfrac{- 5^{3}}{2^{6}*3^{3}}\\\\\\= -\dfrac{5^{3-2}}{2^{6-2}*3^{3}}\\\\\\= -\dfrac{5}{2^{4}3^{3}}\\\\= -\dfrac{5}{16*3}\\\\\\= \dfrac{-5}{48}[/tex][tex]HINT: \dfrac{a^{m}}{a^{n}}=a^{m-n}, m >n\\\\\\\dfrac{a^{m}}{a^{n}}=\dfrac{1}{a^{n-m}}, n >m\\\\\\(a^{m})^{n}=a^{m*n}[/tex]
which one is the answer? Please i need this quick
Answer:
Step-by-step explanation:
what is the question
A family on a trip budgets $1,338 for meals and gasoline. If the price of a meal for the family is $90 and if gasoline costs $2.80 per gallon, then how many gallons of gasoline can the family buy if they buy 13 meals
’creating a system linear equation, the number of possible gallons of gasoline that can be purchased is 60 gallons
Given the Parameters :
Total budget = 1338Meal cost = $90Gasoline cost = $2.80 per gallon Number of meals = 13 Number of gallons of gasoline = gHence, we have :
90(13) + 2.80g = 13381170 + 2.80g = 1338
2.80g = 1338 - 1170
2.80g = 168
g = 168/2.80
g = 60
Therefore, only 60 gallons of gasoline can be purchased.
Learn more : https://brainly.com/question/18796573
What is mZ2 + m 3? А 1 2 3 4 D m22 + m 23 =
Answer:
link
Step-by-step explanation:
Is 8 a unique solution to the equation 3(x-6) =
3x/4
Answer:
yes
Step-by-step explanation:
3(x - 6) = [tex]\frac{3x}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
12(x - 6) = 3x , distribute left side
12x - 72 = 3x ( subtract 3x from both sides )
9x - 72 = 0 ( add 72 to both sides )
9x = 72 ( divide both sides by 9 )
x = 8
x = 8 is the only solution and is therefore unique
Answer:
8
Step-by-step explanation:
18 is 120 percent of what number
Answer:
18 is 120 percent of 15Step-by-step explanation:
100/120 = 15
15/100, which means that 18/120 as a percentage is 15%.
hope this helps :)
Slope of parallel and perpendicular lines
Answer:
-1
Step-by-step explanation:
They already did the opposite reciprocal for you.
They have it in the form now.
To find b you just enter (x,y)=(8,1).
Let's do that.
Subtract 2 on both sides:
b=-1
what is 5 taken away from the product of 4 and a number.
Answer:
3
Step-by-step explanation:
Not sure, but let's take 32 to be the answer
4(5+x)=32
4×5= 20
4×x= 4x
20-4x=32
4x=32-20
4x=12
12÷4
x=3
Answer:
4n - 5
Step-by-step explanation:
let the number be n then the product of 4 and this number is 4n
Subtract 5 from 4n gives
4n - 5
pls help me with this question
SOS need help on this question
Answer:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x - 3 + 3 < 9 + 3
3x < 12
[tex]\frac{3x}{3} <\frac{12}{3}[/tex]
x < 4
Answer:
the answer is x is less than 4
Step-by-step explanation:
3x-3<9
3x-3+3<9+3
-3deleted by +3
so we get 3x<12. over 3 over 3 and we got
x<4
9 negative exponent 8
Answer:
See below:
Step-by-step explanation:
So we want to know what 9 to the -8th exponent will be if I understand your question right.
To solve for [tex]9^{-8}[/tex] we first have to solve for [tex]9^{8}[/tex] which would be 43046721.
Now, if we have a negative number, the answer would be 1 divided by that number, so therefore, we get [tex]9^{-8} =\frac{1}{43046721}[/tex]
Cheers!
Hey could you help me out please
I really don’t want to disappoint my father and I have too many assignments so can you help?
Answer:
Step-by-step explanation:
1.) [tex]c = \sqrt{a^{2} +b^{2} }[/tex]
a = 10, b = 7, c = x?
10+7= x
[tex]10^{2} + 7^{2} =x^{2}[/tex]
100 + 49 = [tex]x^{2}[/tex]
149 = [tex]x^{2}[/tex]
[tex]\sqrt{149} =[/tex] 12.206...
x = 12.2
2.) x + 19 = 21
[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]
441 - 361 = [tex]x^{2}[/tex]
80 = [tex]x^{2}[/tex]
[tex]\sqrt{80}[/tex] = 8.94
x = 9
3.) x + 16 = 27
[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]
729 - 256 = [tex]x^{2}[/tex]
473 = [tex]x^{2}[/tex]
[tex]\sqrt{473}[/tex] = 21.74
x = 21.7
4.) 12.8 + 5.3 = x
[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]
8.) x = 11.48 ft
a = 3.5 ft , b = x=? , c = 12 ft
[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]
9.) x = 32.078 feet
[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]
10.) perimeter = 31.96
hope this helped a lot
mark me brainliest :D
PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £
Answer:
£225
Step-by-step explanation:
The relationship between the cost price (cp) and the selling price (sp) is ...
cp + 5% × cp = sp
cp(1.05) = sp . . . . . . collect terms
cp = sp/1.05 . . . . . . divide by 1.05
cp = £236.25/1.05 = £225
The original wholesale price was £225.
1/2 (x + 8) - 15 = - 3
Answer:
x=16
Step-by-step explanation:
Heres the work below
Hope this Helps
Need help with this.
Answer:
A. The reciprocal of 9/10 is 10/9
B.2/3
Step-by-step explanation:
A. A reciprocal is the inverse of a number
B. 3/5*10/9=
30/45 or 2/3
. Mrs. Jackson needs to earn $3,000 a
month. How much does she need to sell if
she earns 15% commission on everything
she sells?
Answer:
20000
Step-by-step explanation:
Answer:
20000
Step-by-step explanation:
given: AE and BD bisect each other.
prove: triangle ACB - triangle ECD
The Triangles are congruent by SAS Criteria.
The step by step explanation is there in the image I attached.
Hope it helps you....
Please mark as brainlliest!!!
Ali and Ben have a total of 36 CDs. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali. How many CDs did Ali have originally?
Answer:
I believe the answer is 20 cds
Step-by-step explanation:
got Ben to have twice her CDs he would have to have 24 while she had 12.
if Ali gave away 40 percent than 12 would be 60 percent.
from there I cross multiplied.
If the total number of CDs is 36, it is not possible to distribute them in a way that Ben receives twice as many as Ali after Ali gives away 40% of her CDs.
Let's assume the number of CDs Ali originally had is "x," and the number of CDs Ben originally had is "y."
According to the information given:
1. Ali and Ben have a total of 36 CDs: x + y = 36
2. After Ali gives Ben 40% of her CDs, Ben has twice as many as Ali:
Ali gives away 40% of x, which is 0.4x CDs.
After this, Ali has x - 0.4x = 0.6x CDs left.
Ben receives 0.4x CDs from Ali and now has y + 0.4x CDs.
According to the second statement, y + 0.4x = 2(0.6x).
Now, we have a system of two equations:
x + y = 36 ........(1)
y + 0.4x = 2(0.6x) ........(2)
First, let's simplify equation (2):
y + 0.4x = 2(0.6x)
y + 0.4x = 1.2x
Now, to solve for x, isolate y in equation (1) and substitute it into equation (2):
y = 36 - x
Substitute y in equation (2):
36 - x + 0.4x = 1.2x
Combine like terms:
36 = 1.2x + x - 0.4x
36 = 1.6x
Now, solve for x:
x = 36 / 1.6
x = 22.5
Since the number of CDs cannot be a decimal, let's reevaluate the equations.
From equation (1):
x + y = 36
Substitute the value of x we found:
22.5 + y = 36
y = 36 - 22.5
y = 13.5
Now, we have found that Ali originally had 22.5 CDs, which is not possible. However, since the number of CDs must be a whole number, it means there might be a mistake in the problem statement.
To know more about Ben:
https://brainly.com/question/29177365
#SPJ2
>
17 18
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6
«
7
8
9
10
11 12 13 14 15 16
Huda made 60 bracelets and sold
of them. Sammie made 45 bracelets and sold 2 of them. Which comparison is true
5
true?
The fractions cannot be compared, because they do not have the same wholes
Huda sold more bracelets, because
OIN
8 5
TA
O
2 2
Sammie sold more bracelets, because
58
Both sold the same number of bracelets, because
TURN ITIN
ASK FOR HELP
NEXT QUESTION
АО
To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?
Answer:
14.28
Step-by-step explanation:
(50/100 POINTS + BRAINLIEST PLEASE HELP ASAP)
The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:
What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?
A. 9:1
B. 1:36
C. 36:1
D. 1:9
Answer:
The answer is A.
Step-by-step explanation:
It is a 9 to 1 ratio because as you see on the graph, for each lemon-lime cup, there are 9 peach juice cups. And as you keeping going up, the ratio is the same.
Answer: A
Step-by-step explanation: I'm totally a smart 8-year-old.