A contractor construct to build a house in 30 days. He employed 10 men to build the house. After 20 days. They completed only 1 /3 of the total work. How many more men will be required to finish the remaining work within due time?
Answer:
30
Step-by-step explanation:
First, we can say that because the men do 1/3 of the work in 20 days,
for 10 men:
20 days = 1/3 total work
Because we need the house built in 30 days, and 20 days have already passed, we only have 30-20=10 days left. Furthermore, 20/2=10, so in our equation of 20 days = 1/3 total work, we can divide both sides by 2 to get
10 days = 1/6 total work
The amount of work we need to get done in 10 days is (all of it) - (1/3 of total work) = 1 - 1/3 = 2/3 = 4/6
Since 10 men can do 1/6 of the work in 10 days, 10*4 =40 men can do 1/6 * 4 = 4/6 of the work in 10 days. This is the amount of work that needs to get done. Therefore, the contractor needs 40 (total workers) - 10 (current workers) = 30 new workers to finish the remaining work in due time
4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, and 3. A player randomly selects one marble and one cube. What are all the outcomes? How large is the sample space? possible
Answer:
Here is the sample space, its size is 4*3 = 12:
Black 1Black 2Black 3Blue 1Blue 2Blue 3Yellow 1Yellow 2Yellow 3Red 1Red 2Red 3Answer:
According to your question :-
four marbles 3 cubesfour marbles :-
black blueyellow redcubes numbered as :-
123_______________________
outcomes :-
At black ..
Black 1Black 2Black 3At blue ..
Blue 1Blue 2Blue 3At yellow ..
Yellow 1Yellow 2Yellow 3At red ..
Red 1Red 2 Red 3________________________
Size ...
4 X 3 = 12 size,,
hopes its helps you.
I HATE GEOMETRY I NEED HELP
Answer:
actually where is point D
write 1.4888... as a mixed number
Answer:
1861÷1250
Step-by-step explanation:
This is the simplified version
What is the range of the function graphed below?
Answer:
(- infinity, +2]
Step-by-step explanation:
the range is the interval of numbers for possible y (result) values of a function.
so, what y values are possible here ?
clearly it goes from the very bottom, negative infinity, up to 2.
I see no way for other y values (> 2).
and usually we write such an interval with an open end bracket "(" or ")" on the side of infinity, because infinity is not a value and can never be reached. and the included end bracket "[" or "]" is used on an end, where we have a specific (and really included) value.
2. If (x+1,Y+2)=(3,4), find the value of x and y
Answer:
x = 2
y = 2
Step-by-step explanation:
since it is an equal pair,
x+1 = 3
or, x = 3 - 1
x = 2
y + 2 = 4
or, y = 4 - 2
y = 2
In the diagram below, PQ is parallel to MN. Solve for 2. Round your answer to the
nearest tenth if necessary.
X=
help on the circled problems, will mark brainliest :D
Answer:
see explanation
Step-by-step explanation:
(1)
x - (9x - 10) + 11 = 12x + 3(- 2x + [tex]\frac{1}{3}[/tex] ) ← distribute parenthesis on both sides
x - 9x + 10 + 11 = 12x - 6x + 1 ← collect like terms on both sides
- 8x + 21 = 6x + 1 ( subtract 6x from both sides )
- 14x + 21 = 1 ( subtract 21 from both sides )
- 14x = - 20 ( divide both sides by - 14 )
x = [tex]\frac{-20}{-14}[/tex] = [tex]\frac{10}{7}[/tex]
(3)
- 4x - 2(8x + 1) = - (- 2x - 10) ← distribute parenthesis on both sides
- 4x - 16x - 2 = 2x + 10
- 20x - 2 = 2x + 10 ( subtract 2x from both sides )
- 22x - 2 = 10 ( add 2 to both sides )
- 22x = 12 ( divide both sides by - 22 )
x = [tex]\frac{12}{-22}[/tex] = - [tex]\frac{6}{11}[/tex]
(7)
8(2x + 9) = 56 ( divide both sides by 8 )
2x + 9 = 7 ( subtract 9 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
Find the length of PR from the given figure ( step by step ).
Answer:
PR = 39 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
PR² + PQ² = QR² , that is
PR² + 80² = 89²
PR² + 6400 = 7921 ( subtract 6400 from both sides )
PR² = 1521 ( take the square root of both sides )
PR = [tex]\sqrt{1521}[/tex] = 39
Answer:
[tex]PR=39[/tex]
Step-by-step explanation:
The triangle (PQR) is a right triangle. This means the triangle has a (90) degree angle, such is indicated by the box around one of the angles in the triangle. One of the properties of the sides of a right triangle is the Pythagorean theorem. The Pythagorean theorem states the following:
[tex]a^2+b^2=c^2[/tex]
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle. (c) is the side opposite the right angle of the triangle triangle, in other words, the hypotenuse. Substitute the respective legs into the formula for the Pythagorean theorem and solve for the unknown,
[tex]a^2+b^2=c^2[/tex]
Substitute,
[tex]a^2+b^2=c^2[/tex]
[tex]PQ^2+PR^2=QR^2[/tex]
[tex]80^2+PR^2=89^2\\[/tex]
Simplify,
[tex]80^2+PR^2=89^2\\[/tex]
[tex]6400+PR^2=7921[/tex]
Inverse operations,
[tex]6400+PR^2=7921[/tex]
[tex]PR^2=1521\\\\PR=39[/tex]
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
not possible because the area of a square is always a square of it's length and a square cannot be a prime number
Answer:
No
Step-by-step explanation:
Because the area of a square is always a square of its length and a square can't be prime.
The volume of a box(v) varies directly with its length(l). If a box in the group has a length of 35 inches and k=15, what is its volume?
Answer:
525 in³
Step-by-step explanation:
Use the direct variation equation, y = kx.
Substitute y with v (volume) and substitute x with l (length) to represent this situation:
y = kx
v = kl
Plug in 35 as l and 15 as k, then solve for v (the volume):
v = kl
v = 15(35)
v = 525
So, the volume of the box is 525 in³
Check all that apply.
4x2 + 4x + 1 = 0
O A. X=
1
2
1
B. X= -2
c. x=-1
O D. x = 2
O E. x=
=
3
2
O F. X = 3
Answer:
x = -1/2
Step-by-step explanation:
4x^2 + 4x + 1 = 0
Factor
(2x+1)(2x+1) =0
Using the zero product property
2x+1 = 0 2x+1 =0
2x = -1 2x=-1
x = -1/2 x = -1/2
Ayuda por favor help me please
Answer
English translation needed
số nào sau đây là nghiệm của đa thức x^2-2x+1
[tex]x^{2}[/tex]-2x+1=0
[tex](x-1)^{2}[/tex]=0
x-1=0
x=1
find the inverse f(x)=2x/x+3 x≠-3
Answer:
f^(-1)(x) = 3x/(2-x)
Step-by-step explanation:
f(x) = 2x/(x+3)
f(x)*(x+3)=2x
x(2-f(x))=3f(x)
x=3f(x)/(2-f(x))
f^(-1)(x) = 3x/(2-x)
6. Márcia cortou quatro tiras retangulares de mesma largura, cada qual de um dos lados de uma folha de papel que media 30 cm por 40 cm. O pedaço de papel que sobrou tem 68% da área da folha original. Qual é a largura das tiras? A) 5 cm B) 4 cm C) 3 cm D) 2 cm E) 1 cm 40 30 5 10 D) 10 E) 5
Answer:
b
Step-by-step explanation:
i had it
Mrs. Vacarro sliced a banana into 5 pieces. After eating one slice, she gave ⅘ of the original total to her toddler. After her child was finished, there were ⅖ of the banana slices left. What expression would you use to find out what fractional amount of banana Mrs. Vacarro's toddler ate?
The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Mrs. Vacarro sliced a banana into 5 pieces.
Number of slices she gave to her toddler = 4/5
Number of slices left after her toddler had finished eating = 2/5
Thus number of slices toddler ate,
⇒ [tex]\frac{4}{5} -\frac{2}{5}[/tex]
⇒ [tex]\frac{4-2}{5}[/tex]
⇒ [tex]\frac{2}{5}[/tex]
Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
CAN SOME HELP PLS I NEED HELP PASSING PYTHAGOREAN THEOREM
Answer:
Step-by-step explanation:
[tex]a^2+b^2=c^2\\8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=17\\\\17+15+8 = 40 meters[/tex]
Select THREE expressions that are equivalent to -16x - 68.
A. -4(4x - 17)
B. -2(8x + 34)
C. 2( - 8x - 34)
D. 4( - 4x - 17)
E. 8( - 2x - 8)
got it wrong the first time :(
Answer:
b, c, d
Step-by-step explanation:
Identify the sequence that lists the sides of △MNO in order from shortest to longest.
Answer:
MO, NO, MN
Step-by-step explanation:
First, we can identify this triangle as a right triangle, as given by the square next to the O. Next, we know that a right angle is equal to 90 degrees, and the sum of the angles of a triangle is equal to 180 degrees.
Therefore,
∠M + ∠O + ∠N (the angles of the triangle) = 180
49 + 90 + ∠N = 180
139 + ∠N = 180
subtract both sides by 139 to isolate the variable
∠N = 41
Therefore, ∠N is 41 degrees.
In a triangle, given the angles, we know that the side opposite the smallest angle is the side with the smallest length and so on.
Our angle lengths are
41, 49, and 90 degrees in order.
Therefore, the side opposite the largest angle (90 degrees, or ∠O) is the longest side. This is MN. Similarly, ∠N is the smallest angle, and the side opposite of that (MO) is the shortest side. This leaves NO to be in the middle
(2x+1)(x-1)=0
2x-10=5+3x
Step-by-step explanation:
2x-3x=5+10
-x=15
X=-15
2x+1=0.... 1
X-1=0
X=1......2
Substitute the value of x in equation 1
2*1+1=0
2=1
So the value of x is 1 and 2
Answer:
x=-1/2
x=1
x=-15
Step-by-step explanation:
Sequence Problem Below
Answer:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\dddddd \displaystyle \Large \boldsymbol{} t_1=\boxed{5} \\\\d=\boxed{-4} \\\\t_n=\boxed{9-4n}[/tex]
Step-by-step explanation:
[tex]\displaystyle\large \boldsymbol{Rule: t_n=S_{n}-S_{n-1}} \\\\\\S_n=7n-2n^2 \ \ \ \ then \\\\\Longrightarrow S_{n-1}=7(n-1)-2(n-1)^2 =7n-7-2n^2+4n-2 \\\\then \\\\\\S_{n}-S_{n-1}=7n\!\!\!\!\!\!\diagup-2n^2\!\!\!\!\!\!\diagup-7n\!\!\!\!\!\!\diagup+7+2n^2\!\!\!\!\!\!\diagup-4n+2=9-4n \\\\t_n=9-4n => t_1=5\\\\d=t_2-t_{1}=1-5=-4[/tex]
Choose the best answer that represents the property used to rewrite the
expression.
log root(12, 125x ^ 3) = 1/4 * log 5x
Answer:
commutative properties
Plzzzzzzzzz help 10 points and will mark brainiest
Answer:
Hello,
[tex]Answer:\ 2.8 < x < 5.4[/tex]
Step-by-step explanation:
The simpliest is to use the triangular inequality:
in a triangle, a side must be inferior to the sum of the 2 others sides.
[tex]\left\{\begin{array}{ccc}4.1& < &x+1.3\\1.3&< &4.1+x\\x & < & 4.1+1.3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}2.8& < &x\\1.3-4.1&< &x\ not\ used\\x & < & 5.4\\\end{array}\right.\\\\\\Finaly:\ 2.8 < x < 5.4[/tex]
Answer:
2.8 < x < 5.4
Step-by-step explanation:
Given 2 sides of a triangle then the third side is in the range
difference of 2 sides < x < sum of 2 sides , that is
4.1 - 1.3 < x < 4.1 + 1.3 , then
2.8 < x < 5.4
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Which phrase matches the expression 2v?
A. v divided by 2
B. twice v
C. 2 decreased by v
D. 2 more than v
Answer:
B) twice v
Step-by-step explanation:
because if there is no any sign between a number and a variable then you know that there is sign of multiplication
What is 12% and 22% of 600 added together?
Answer:
204
Step-by-step explanation:
600 * .12 = 72
600 * .22 = 132
72 + 132 = 204
Have a great day!
A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number
Answer:
the number is 2.45
Step-by-step explanation:
let the original number = n
[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]
Therefore, the number is 2.45
Will Mark Brainlest Help please!!!
Answer:
My fellow Americans
I'm from India and I'm hre to take q look at America's Brainly :)
Answer:
I could only solve up to this this topic we will read tomorrow .I might send you tomorrow. I don't know that if the solved parts rule is right or not .If it is wrong forgive me.
simplify each radical expression pleaseeee help i haven’t done algebra in 2 years
Answer:
4. 12√3
5. -35√2
6. 5√2/2
Step-by-step explanation:
4. 3√12+2√27
= 3√(4×3) + 2√(9×3)
= 6√3+6√3
= 12√3
5. 5√8-9√50
= 5×2√2-9×5√2
= 10√2-45√2
= -35√2
6. 5/√2
= 5×√2/(√2×√2)
= 5√2/2
Answered by GAUTHMATH
What is 2:50 is simplest form
Answer:
0.04
Step-by-step explanation:
2 / 50 is the same as 1 / 25.
1 / 25 = 0.04
Answer:
0.04
Step-by-step explanation:
