Answers
Related Questions
Aboard 22 cm long is cut into two pieces. One piece is 4 cm longer than twice the length of the other piece. Find the length of each piece
Answers
Answer:
Length of one piece = 6 cm
Length of second piece = 16 cm
Step-by-step explanation:
Total Length of board = 22 cm
The board is divided into 2 pieces.
Let length of one piece = l
Length of second piece = 2l + 4
We need to find length of both pieces.
We can write the equation:
Total length = Length of one piece + Length od second piece
Putting values and finding length
[tex]22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=\frac{18}{3}\\l=6[/tex]
So, we get l= 6
Length of one piece = l =6 cm
Length of second piece = 2l + 4 = 2(6)+4 = 12+4 = 16 cm
Therefore,
Length of one piece = 6 cm
Length of second piece = 16 cm
Select all the numbers that have an even number of factors.
8,9,15,16,25
Answers
The numbers having an even number of factors are 8 and 15.
What are factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
The given numbers are 8, 9, 15, 16, and 25.
Factors of 8 are 1, 2, 4, and 8.
Factors of 9 are 1, 3, 9.
Factors of 15 are 1, 3, 5, 15.
Factors of 16are 1, 2, 4, 8, 16.
Factors of 15 are 1, 5, 25.
Of which 1 and the number itself are improper factors.
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Round 6,532 to the nearest thousands
Answers
Answer:
7,000
Step-by-step explanation:
Answer:
7000
Step-by-step explanation:
the hundreds is 5 so the 6 is turned into a 7 and the rest become 0, 5 or more let it soar, 4 or less let it rest or something
Need help 15 points
Answers
Answer:
correct answer is d....
Answer:
d (22)^40 +(-7)^40 its very easy
may run 6 miles in 54 minutes how long will it take her to run 10 miles
Answers
Answer:
90 minutes or an hour and a half
Step-by-step explanation:
You need to find out how many minutes it takes her to run one mile, to do that you devide 54 by 6 and you get 9 minutes. Then you multiply the number of minutes per mile, 9, by 10 and you get 90 minutes.
Please help .......You are guaranteed a minimum salary of $2000 per month PLUS 5.75% 5 points
of total sales. What is your gross pay for a month in which total sales are
$80,000 ?*
1.2000
2.$6600
3.$2460
4.$48,000
5.$4600
Answers
Answer:
6600
Step-by-step explanation:
0.0575*80000=4600
4600+minimum salary which is 2000=6600
(can I get brainliest please)
Could someone help with this math problem I will cashapp you !
Answers
Answer: 203.65
Step-by-step explanation:
subtract those checks from his starting balance
X3+x2+x+1 by grouping
Answers
Answer:
[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]x^3+x^2+x+1[/tex]
Factorized by grouping
[tex]x^3+x^2+x+1=\left(x^3+x^2\right)+\left(x+1\right)[/tex]
Factor out x² from x³+ x²: x²(x+1)
[tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]
[tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]
Factor common term x+1
[tex]=\left(x+1\right)\left(x^2+1\right)[/tex]
Therefore, we conclude that:
[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]
Group C
(4 x 6 = 2
17. If the cost of 8 book is Rs 520, find the cost of 10 books.
Answers
cost of 8 books = 520 AED
we can do this using direct proportion
8/520 , 10/x
(cross multiply
= 8x = 520 x 10
= 8 x 5200
x = 5200/8
x = 650 AED
therfore,
cost of 10 books is 650.
A line passes through the points ( - 9, - 24) and (8, – 9).
Calculate the slope of the line. Write your answer as a fraction.
(If the slope is undefined, enter "DNE")
Answers
Answer:
15 / 17
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
= (-9 + 24) / (8 + 9)
= 15 / 17
A farmer plans to fence a rectangular garden next to a river. There will be no fence along the river side. Draw a picture of this situation. The pasture will contain 405,000 square meters. Find the dimensions of the garden that will require the least amount of fencing.
Answers
Answer:
x = 450 m
y = 900 m
P (min) = 1800 m
Step-by-step explanation:
Let´s call "x" and "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )
Then:
2*x + y = P ( perimeter of the area)
And x * y = 405000 m²
y = 405000/ x
And P as a function of x is:
P(x) = 2*x + 405000/x
Tacking derivatives relative to x on both sides of the equation.
P´(x) = 2 - 405000/x²
P´(x) = 0 2*x² - 405000 = 0
x² = 202500
x = 450 m
And y = 405000 / 450
y = 900 m
And
P(min) = 2*450 + 900
P(min) = 1800 m
We know P is minimm at x =450 snce the second derivative of P
P´´(x) = 405000*2*x / x⁴ is always positive
A 12 foot tall building casts a 9 foot long shadow. How long of a shadow will a 5 foot tall woman have?
6.66 feet
6.66 feet
3.75 feet
3.75 feet
2 feet
2 feet
Answers
Answer:
22feet11111111111111dddddd
Answer:
Step-by-step explanation:
It is 3.75
A recipe calls for 1 part coconut to 4 parts sugar. How much sugar will you need if you use 20 grams of coconut?
Answers
Answer:
80
Step-by-step explanation:
1:4 = 20:80
We are multiplying 20 by 1 to get 20 grams of coconuts. Also, we are multiplying 4 by 20 to get 80 grams of sugar. Therefore, you will need 80 grams of sugar if you use 20 grams of coconut. By the way, I suggest you review ratios if you are having difficulties with it.
Add. Write your answer in the simplest form.
5 1/5 + 4 3/5 PLZZZ HURRY
10 1/5
9 2/5
10 4/5
9 4/5
Answers
Answer:
9 4/5
Step-by-step explanation:
45% of 45 is (Explain ur method)
Answers
Answer: 20.25
Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!
45 percent of 45 is 20.25.
To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.
45% can be written as 0.45 (since percent means "per hundred" or "out of 100").
45 × 0.45 = 20.25
Therefore, 45% of 45 is 20.25.
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determine whether (8,5 a solution of the equation y=15x-14)
Answers
Answer:
no, It isnt
Step-by-step explanation:
- f:R → R
f(x + 7) = 3x - 6
g(2x + 1) = x2-1
= (f-1og)(5) = ?
Answers
Answer:
[tex]f^{-1}\,\circ \,g(5) = 10[/tex]
Step-by-step explanation:
Let [tex]f(x+7) = 3\cdot x -6[/tex] and [tex]g(2\cdot x +1) = x^{2}-1[/tex], we proceed to derive [tex]f(x)[/tex] and [tex]g(x)[/tex] by algebraic means:
(i) [tex]f(x+7) = 3\cdot x -6[/tex]
1) [tex]f(x+7) = 3\cdot x -6[/tex] Given
2) [tex]f(x+7) = 3\cdot (x+0) - 6[/tex] Modulative property
3) [tex]f(x+7) = 3\cdot [(x+7) +(-7)]-6[/tex] Existence of additive inverse/Associative property
4) [tex]f(x+7) = 3\cdot (x+7) +3\cdot (-7)-6[/tex] Distributive property
5) [tex]f(x+7) = 3\cdot (x+7) -21-6[/tex] [tex]a\cdot (-b) = -a\cdot b[/tex]
6) [tex]f(x+7) = 3\cdot (x+7) -27[/tex] Definition of subtraction
7) [tex]f(x) = 3\cdot x - 27[/tex] Composition of functions/Result
(ii) [tex]g(2\cdot x + 1) = x^{2}-1[/tex]
1) [tex]g(2\cdot x + 1) = x^{2}-1[/tex] Given
2) [tex]g(2\cdot x + 1) = (x\cdot 1)^{2}-1[/tex] Modulative property
3) [tex]g(2\cdot x +1) = [(2\cdot x)\cdot 2^{-1}]^{2}-1[/tex] Existence of additive inverse/Commutative and associative properties
4) [tex]g(2\cdot x +1) = (2\cdot x)^{2}\cdot 2^{-2}-1[/tex] [tex]a^{c}\cdot b^{c}[/tex]/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]
5) [tex]g(2\cdot x + 1) = \frac{(2\cdot x)^{2}}{4}-1[/tex] Definitions of division and power
6) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 0)^{2}}{4} -1[/tex] Modulative property
7) [tex]g(2\cdot x +1) = \frac{[(2\cdot x + 1)+(-1)]^{2}}{4} -1[/tex] Existence of additive inverse/Associative property
8) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 1)^{2}+2\cdot (2\cdot x + 1)\cdot (-1)+(-1)^{2}}{4} -1[/tex] Perfect square trinomial
9) [tex]g(2\cdot x + 1) = \frac{(2\cdot x + 1)^{2}}{4}+\frac{[2\cdot (-1)]\cdot (2\cdot x + 1)}{4} +\frac{(-1)^{2}}{4}-1[/tex] Addition of homogeneous fractions.
10) [tex]g(x) = \frac{x^{2}}{4}-\frac{2\cdot x}{4} + \frac{1}{4}-1[/tex] Composition of functions/[tex]a\cdot (-b) = -a\cdot b[/tex]
11) [tex]g(x) = \frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}[/tex] Definitions of division and subtraction/Result
Now we find the inverse of [tex]f(x)[/tex]:
1) [tex]f = 3\cdot x - 27[/tex] Given
2) [tex]f + 27 = (3\cdot x - 27)+27[/tex] Compatibility with addition
3) [tex]f+ 27 = 3\cdot x +[27+(-27)][/tex] Definition of substraction/Commutative and associative properties
4) [tex]f+27 = 3\cdot x[/tex] Existence of additive inverse/Modulative property
5) [tex](f+27) \cdot 3^{-1} = (3\cdot 3^{-1})\cdot x[/tex] Compatibility with multiplication/Commutative and associative properties
6) [tex](f+27)\cdot 3^{-1} = x[/tex] Existence of multiplicative inverse/Modulative property
7) [tex]f^{-1} (x) = \frac{x+27}{3}[/tex] Symmetrical property/Notation/Result
Finally, we proceed to calculate [tex]f^{-1}\,\circ \, g (5)[/tex]:
1) [tex]f^{-1} (x) = \frac{x+27}{3}[/tex], [tex]g(x) = \frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}[/tex] Given
2) [tex]f^{-1}\,\circ\, g(x) = \frac{\frac{x^{2}}{4}-\frac{x}{2}-\frac{3}{4}+27}{3}[/tex] Composition of functions
3) [tex]f^{-1}\,\circ \,g(5) = 10[/tex] Result
Is x = 1/2 a solution of the equation above. 3( x + 1) = 3x
Answers
or,3(1/2 +1)=3/2
or,3/2+3=3/2
or,(3+6)/2=3/2
or,9/2=3/2
Solve and check: 40 = 1.6(d - 2)
Answers
Step-by-step explanation:
40=1.6d-3.2
43,2=1.6d
27=d
Ratio 2:3 if Moses ran 8 laps and how many did Louis run
Answers
Answer:
8:12
Step-by-step explanation:
8/2=4
4 times 3 = 12
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall
Answers
Answer:
did you find the answer ??
The required height of the wall where the ladder meets the wall is 12 m.
Given that,
A ladder that has a length of 13 m leans against a wall with the base of the ladder 5 m away from the bottom of the wall. Use this information to find how high above the ground the ladder meets the wall is to be determined.
In a right-angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
Here,
Let the height be h,
Applying Pythagoras' theorem,
h = √[13²-5²]
h = √169-25
h = √144
h = 12
Thus, the required height of the wall where the ladder meets the wall is 12 m.
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13x - 12
B
E
(7x-6)
А
F
What is the value of x?
X=
Answers
Answer:
1
Step-by-step explanation:
13x-12=7x-6
To make a certain shade of paint, an
artist needs to mix yellow paint with
blue paint at a ratio of 3 to 5.
w
He needs 32 ounces of paint.
How much yellow paint should he buy?
Answers
Alright I really need help and this question is going to give you alot of ponits so let do it also its due in 20min!!!!!!! Ok so Five cats each ate 1/4 cup of canned food and 1/4 cup of dry food. How much food did they eat altogether? Please don't spam me and get the answer right because as soon as I get a reply then i will put that answer on the page
Answers
PLZ HELP WILL GIVE BRAINLEST
Answers
Answer:
it's the fourth one i did that assignment aswell
knowing that concentration of solutions of medications can be expressed as percentage, what percentage is a solution that's 20g of medication per 100 ml solution?
Answers
Answer:
20%
Step-by-step explanation:
The percentage of the concentration can be calculated by dividing the amount of solute by the total amount of the solution. In this case the solute would be the 20g of medication while the total solution amount is 100ml. Therefore, we divide these two values like so...
20 / 100 = 0.20
This is the percentage in decimal form, we can now multiply it by 100 to get the percentage value (which in this scenario is simply reversing the previous division)
0.20 * 100 = 20%
Helpppppp meeee please and thank you
Answers
Answer:
The bigger the number the more obtuse it is and the smaller the number is the more acute is
Step-by-step explanation:
6.
It is given that at x = 1, the function x^4 - 62x^2 + ax + 9 attains its
maximum value on the interval [0, 2]. Find the value of a.
Answers
Answer:
The value of a is 120.
Step-by-step explanation:
Given function;
f(x) = x⁴ - 62x² + ax + 9
find the derivative of the function;
f'(x) = 4x³ - 124x + a
The function (f) attains its maximum value on the interval [0, 2], at x = 1.
f'(1) = 0
0 = 4(1)³ - 124(1) + a
0 = 4 - 124 + a
0 = -120 + a
120 = a
Thus, the value of a is 120.
Organic apples
are priced at
$8.97 for 3 pounds. What is the
the price per pound?
Answers
Answer:
The answer is $2.99
Step-by-step explanation:
8.97/3=2.99
Answer:
the answer is 2.99
Step-by-step explanation:
because
8.97 divided by 3 = 2.99
3.5 as a mixed number.
Answers
Answer:
3 and 1/2
Step-by-step explanation:
Mixed numbers are numbers with one whole number and a fraction.
Answer:
3 1/2
Step-by-step explanation:
well 3.5 in fraction form is 3 1/2.
the 5 is the 1/2 because 5/10 is half of 10 an 5/10 is equivalent to 1/2 sooo
3 1/2