Answer:
6 days
Step-by-step explanation:
Let the time taken by Carpenter working alone = [tex]C[/tex] days
Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2[tex]C[/tex] days
Time taken working together = 2 days
Work done in one day working together = [tex]\frac{1}{2}[/tex]
Work done in one day by Carpenter working alone = [tex]\frac{1}{C}[/tex]
Work done in one day by apprentice working alone = [tex]\frac{1}{2C}[/tex]
Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone = [tex]\frac{1}{C}[/tex]+[tex]\frac{1}{2C}[/tex] = Work done in one day working together = [tex]\frac{1}{2}[/tex]
[tex]\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days[/tex]
Time taken by Carpenter alone to complete the work = 3 days
Time taken by Apprentice alone to complete the work = 3 [tex]\times[/tex] 2= 6 days
We are required to calculate the number of days it would take the apprentice working alone
The number of days it takes the apprentice working alone is 6 days
let
Number of days taken for the carpenter to work alone = x
Number of days taken by the apprentice to work alone = 2x
Number of days taken to work together = 2 days
Work done per day Carpenter = 1/x
work done per day apprentice = 1/2x
work done per day together = 1/2
So,
work done per day together = Work done per day Carpenter + work done per day apprentice
1/2 = 1/x + 1/2x
1/2 = (2 + 1) / 2x
1/2 = 3/2x
cross product
1(2x) = 2(3)
2x = 6
x = 6/2
x = 3 days
Therefore,
Number of days taken by the apprentice to work alone = 2x
= 2(3)
= 6 days
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The area of a parallelogram is 5 cm Squared. explain why you can find the area without knowing the dimensions of the parallelogram. Please help quick!
Answer:
because a square always has the same length on each side so yo just see what number multiplies to that.
Step-by-step explanation:
what is the measure of X?
angles are not necessarily drawn to scale
Answer:
xº=71º
Step-by-step explanation:
Take the triangle BDH
Once the sum of interior angles of a triangle is 180º:
40º+31º+yº=180º
71º+yº=180º
yº=109º
Once yº and xº are supplementary angles (add up to 180º):
yº+xº=180º
109º+xº=180º
xº=71º
If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.
What is triangle?A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.
How to find angle?We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.
Let the angle DHB equal to y.
In ΔBDH
∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}
40+31+y=180
71+y=180
y=180-71
y=109°
We know that sum of two angles on a line is equal to 180°.
So, x=180-109
x=71°
Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.
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Evaluate each expression. 6 ÷ 6 + z + x − y; use x = 2, y = 5, and z = 6
Answer:
4
Step-by-step explanation:
6/6+6+2-5=
For the function f(x) = −2(x + 3)2 − 1, identify the vertex, domain, and range.
Answer:
Vertex: (-3, -1)
Domain: All real numbers or (-∞, ∞)
Range: (-∞, -1]
Step-by-step explanation:
Quadratic Function: f(x) = a(bx - h)² + k
(h, k) is vertex
Step 1: Find vertex
f(x) = -2(x + 3)² - 1
h = -3
k = 1
Vertex = (-3, 1)
Step 2: Graph
When we graph, we should see our domain and range.
Domain is all x-values that can be inputted into the function.
Range is all y-values that can be outputted from the function.
what is the value of x (x+2)(x-3)=0
Answer:
x = 3 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
(x + 2) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
x - 3 = 0 or x + 2 = 0
Hint: | Look at the first equation: Solve for x.
Add 3 to both sides:
x = 3 or x + 2 = 0
Hint: | Look at the second equation: Solve for x.
Subtract 2 from both sides:
Answer: x = 3 or x = -2
Which is the measurement of 144 ounces? A: 12 pounds B: 9 pounds C: 18 pounds D: 16 pounds
Answer:
B
Step-by-step explanation:
because the mass value is 16 x 9pounds equals 144
B is the correct answer bro and girl
Betty makes pies. to make 6 pies, she uses 7 1/2 cups of flour. How many cups of flour are needed to make one pie Please submit the improper fraction and a mixed number. If you don´t, be surprised when your answer gets reported <3
Answer:
1 1/4 or 5/4 cups of flour
Step-by-step explanation:
7 1/2 divided by 6 equals 1 1/4.
hope this helps you :)
Answer:yes
Step-by-step explanation:
|-5| |-(-5) | Is this equal or which one is more ?
Answer:
Equal
Step-by-step explanation:
The absolute value of any number is the same as the value between the lines, but instead, it is positive. The lines (|x|)represent the amount of units/numbers |-5| and |-(-5)| is away from 0. They are both 5 numbers away from it, so it is equal.
Answer: Yes it is equal.
Step-by-step explanation:
when a number is an absolute, always assume it is possitive number.
Example: l-2l = 2 or l2l = 2
i hope that made sense.
What is the range of the data? 2,8,7,8,6,15,6,3,8
Answer:
13
Step-by-step explanation:
The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.
Brainliest for correct answer
Is 4 to 7 the same as 7 to 4? explain why or why not
Answer:
Just say, "No, 7 to 4 is not the same as 4 to 7. I don't know why, but I just know because you taught me it wasn't."
Step-by-step explanation:
It worked for me lol
Answer:
4 to 7 is pretty much 4 divided by 7 which = 4/7 and 7/4 is 1 3/4. which is obviously greater. So they both equal different answers.
Step-by-step explanation:
no
Can i have brainliest
(01.05 LC)Which fraction is equivalent to negative 4 over 6? A.) 6 /-4 B.) - 6/4 C.) 4 /-6 D.) 4/6 I NEED HALP OR ELSE IMANA DIE HERE PLSS HELPPPPP!!!!!!!!
Answer:
C
Step-by-step explanat:
Hope thats right
Answer: -4 over 9 hope this works
Step-by-step explanation:
can someone help me solve -2(8m+8)=-16
I need help ASAP
First 6 multiples of 2: 2, 4, 6, 8, 10, 12
First 6 multiples of 4: 4, 8, 12, 16, 20, 24
What is the least common multiple (LCM) of 2 and 4?
A. 8
B. 12
C. 4
D. 6
Answer:
C) 14
Step-by-step explanation:
_______________
A food truck sells tacos for 6.50 each and burritos for 7.50 each. The food truck's revenue from selling a total of 164 tacos and burritos in one day is 1157.00. How many tacos and burritos were sold that day?
Answer:
12 burritos and 167 tacos
Step-by-step explanation: 164 x 6.5 = 1066
1157 - 1066 = 91
91/7.5 about 12
164 tacos and 12 burritos
9x+12x-21=27
How do I solve ?
Three fences on a ranch measure 15/16 mile, 7/8 mile, and 7/16 mile. Which is the best estimate of the total length of all three fences. *
Answer:
deez
nuts
Step-by-step explanation:
9. If DF = 42, find DE.
7x+1 4x-3
DEF what is DE
Answer:
29
Step-by-step explanation:
So DF = 42, And we know that DF = DE + EF
Therefore (7x+1) + (4x-3) = 42
11x -2 = 42
11x = 44
x = 4
Substitute x = 4 onto DE equation, so 7(4) +1
= 29.
The required measure of line segment DE is 29.
Given that,
A line segment DF is given,
E is a point on the segment DF, where DE = 7x +1 and EF = 4x - 3
and DF = 42,
To determine the measure of DE.
A line is a straight curve showing the shortest distance between 2 points.
Here,
DF = DE + EF
From the given put the values of DF = 42, DE = 7x +1 and EF = 4x - 3
42 = 7x + 1 + 4x - 3
42 = 11x - 2
11x = 44
x = 4
DE = 7x + 1
Put the value of x in above equation,
DE = 7 * 4 + 1
DE = 28 + 1
DE = 29
Thus, the required measure of the DE segment is 29.
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Please help me out! :(
The sum of the measures of the angles shown is 90°.
(5x)
(7x + 6)
10. Write an equation to determine the value of x.
11. Find the value of x.
Answer:
10). 5x + (7x + 6) = 90
11). x = 7
Step-by-step explanation:
From the picture attached,
Sum of given angles measures 90°
Measures of the angles are (5x)° and (7x + 6)°
Therefore, equation to determine the values of x will be,
5x + (7x + 6) = 90
By combining similar terms of the equation,
12x + 6 = 90
12x = 90 - 6
12x = 84
x = [tex]\frac{84}{12}[/tex]
x = 7
Therefore, by solving the equation value of x will be 7.
Mikayla bought a bag of 84 pieces of candy and she wants to divide them up evenly and place into bags but doesn't won't more than 20 bags list the possible ways she can fill the bag
Answer:
[tex]1.0736 \times 10^{19}[/tex] ways
Step-by-step explanation:
Given that:
Mikayla bought a bag of 84 pieces of candy.
she wants to divide them evenly and place them into bag such that they are not more than 20 bags.
Therefore, the number of possible ways she can do that is ;
[tex]^{84}C__{20}[/tex]
= [tex]\dfrac{84!}{20!(84-20)!}[/tex]
= [tex]\dfrac{84!}{20!(64)!}[/tex]
[tex]= 1.0736 \times 10^{19}[/tex] ways
The possible ways she can fill the bag = [tex]1.0736 \times 10^{19}[/tex] ways
Which of the following statements is the most precise and correct to define a circle?
Answer:
THE SET OF ALL POINTS IN A PLANE THAT ARE THE SAME DISTANCE AWAY FROM SOME GIVEN POINT , WHICH WE CALL THE CENTER.
Step-by-step explanation:
please help,, thankyou!
Answer:
Shown in the picture
[tex]:\implies\bf\:m+n=18\:\longrightarrow\:(I)[/tex]
[tex]:\implies\sf\:2mn=-24\:\longrightarrow\:(II)[/tex]
[tex]:\implies\bf\:mn=-12\:\longrightarrow\:(III)[/tex]
Answer - A :
[tex]:\implies\tt\:\dfrac{5}{3m}+\dfrac{5}{3n}[/tex]
[tex]:\implies\tt\:\dfrac{15(m+n)}{9(mn)}[/tex]
[tex]:\implies\tt\:\dfrac{15(18)}{9(-12)}[/tex]
[tex]:\implies\tt\:-\dfrac{15}{6}[/tex]
[tex]:\implies\:\boxed{\bf{\purple{-\dfrac{5}{2}}}}[/tex]
Answer - B :
[tex]:\implies\tt\:\dfrac{4}{m^2}+\dfrac{4}{n^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+n^2)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(m^2+2mn+n^2-2mn)}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(m+n)^2-2mn]}{(mn)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4[(18)^2-(-24)]}{(-12)^2}[/tex]
[tex]:\implies\tt\:\dfrac{4(324+24)}{144}[/tex]
[tex]:\implies\tt\:\dfrac{348}{36}[/tex]
[tex]:\implies\:\boxed{\bf{\orange{\dfrac{29}{3}}}}[/tex]
pleas help. I only have 3 minutes left and i really dont get it. An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
Answer:
d a m n been 5 minutes
Step-by-step explanation:
wanna talk
find three consecutive integers for which 3 times the sum of the first and the third is -342
Answer:
The integers are -58, -57, -56.
Step-by-step explanation:
The difference between two consecutive integers is 1.
If you let the smallest of the three consecutive integers equal x, then the next greater one is x + 1, and the greatest of the three is x + 2.
Integers: x, x + 1, x + 2
The sum of the first and third is: x + x + 2
3 times the sum of the first and third is: 3(x + x + 2)
That product equals -342.
3(x + x + 2) = -342
3(2x + 2) = -342
Divide both sides by 3.
2x + 2 = -114
Subtract 2 from both sides.
2x = -116
Divide both sides by 2.
x = -58
x + 1 = -57
x + 2 = -56
The integers are -58, -57, -56.
Is 8 a solution to -2(x + 10) + 4 = -32? True or False
Step-by-step explanation:
-2(x + 10) + 4 = -32
-2(x + 10) = -32 -4
-2(x + 10) = - 36
x + 10 = (-36)/(-2)
x + 10 = 18
x = 18 - 10
x = 8
8 is a solution ... true
The answer is 345. Use these numbers 10, 3, 4, 5, 2, 1, 100 to get 345
Answer:
Step-by-step explanation:
100 + 100 + 100 + 10 + 10 + 10 + 10 + 5
The question is primarily asking you to use the terms given to get the number given. As there is no rule written for this one, it is easier. Usually, or later on, they may give you a sequence in which you will plug in terms to obtain the results. In cases like that, you must remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents & Roots
Multiplication
Division
Addition
Subtraction
& is the order of operation.
~
Answer: 10 × 3 + 4 + 5 × 2 + 1 + 3 × 100
Step-by-step explanation:
10 × 3 + 4 + 5 × 2 + 1 + 3 × 100 = 345
Using PEMDAS, multiply first ... then add/subtract.
30 + 4 + 10 + 1 + 300 = 345
34 + 10 + 1 + 300 = 345
44 + 1 + 300 = 345
45 + 300 = 345
345 = 345
In the diagram, what is the measure of WRS?
O 5°
O 7.5°
O 25°
O 37.5°
Answer : The measure of ∠WRS is 25°.
Step-by-step explanation :
As we know that vertically opposite angles are always equal.
In the given figure,
∠VRT = ∠WRS = (5x)° (Vertically opposite angles)
And we know that the sum of all angle in a straight line is equal to 180°.
So,
∠TSR + ∠WRS = 180°
Given: ∠TSR = (25x + 30)°
∠TSR + ∠WRS = 180°
(25x + 30)° + (5x)° = 180°
30x + 30° = 180°
30x = 180° - 30°
30x = 150°
x = 5°
∠WRS = (5x)° = (5 × 5)° = 25°
Therefore, the measure of ∠WRS is 25°.
Answer: 25°
Step-by-step explanation:
Easy peasy go bedsy
What is the value of 4s2+10 if s=9?
Answer:
Step-by-step explanation:
Is the 2 an exponent? if so:
Plug 9 into S
so rewrite as 4(9)^2+10=1306
If not: then 4(9)(2)+10= 82
4x+10y=70 in slope-intercept form