Fractions are integers that have both a numerator and a denominator. They are represented as; [tex]\frac{x}{y}[/tex]
Where:
x = Numerator
y = Denominator.
It will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To solve the above question, we would be applying the operations of the addition of fractions.
From the question,
Leni can decorate the room in 4 hours. This means in 1 hour, Leni can paint 1/4 of the room.
Lucy, her sister can decorate the room in 3 hours. This means in 1 hour, lucy can decorate 1/3 of the room.
Let us represent the number of hours it will take them both to decorate the room working together as "T"
Hence,
1/T = 1/4 + 1/3
Lowest Common Denominator for (3, 4 ) = 12
Hence,
1/T = 3 + 4 / 12
1/T = 7/12
Find the reciprocal of both sides
T = 7/12 hours or can be expressed in decimals as 0.583 hours.
Therefore, it will take them both [tex]\frac{7}{12}[/tex] hours or 0.583 hours to finish the job together.
To learn more, visit the link below;
https://brainly.com/question/13652749
Write an equation in which the quadratic expression 4x^2-4x-48 equals 0.
Answer:
4x2 + -4x + -48 = 0
4x2 + -4x + -48 = 0Reorder the terms:
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0
4x2 + -4x + -48 = 0Reorder the terms:-48 + -4x + 4x2 = 0Solving-48 + -4x + 4x2 = 0Solving for variable 'x'.Factor out the Greatest Common Factor (GCF), '4'.4(-12 + -1x + x2) = 0Factor a trinomial.4((-3 + -1x)(4 + -1x)) = 0Ignore the factor 4.
Step-by-step explanation:
hope it helps:)
If x = 6 and y = -2, find the value of x + y( to the power of 2)
Answer:
Step-by-step explanation:
identify the slope and the y-intercept. Show your complete solution.
7x - 2y = 13
What is the value of the expression shown?
1/2(7.9−0.08)
Answer:
3 91/100 or 3.91
Step-by-step explanation:
Plz help me I’m almost done
Answer:
The answer is B because x = 4 so 12x4-3=45
Answer:
[tex]15x + 12x - 3 + 75 = 180 \\ 27x = 180 - 75 + 3 = 108 \\ x = 108 \div 27 = 4 \\ a = 12x - 3 = 12 \times 4 - 3 = 48 - 3 = 45[/tex]
20 < 5 (F – 32) < -15
solve the compound inequalities
Answer:
no solution
Step-by-step explanation:
20 < 5(F - 32) < -15
-15 can never be greater than 20, thus the answer is no solution
The endpoints of AC are A(-8, 9) and C (1, -3). Point B(-2, 1) lies on AC. What
is the ratio AB: BC?
A 1:2
B
1:1
C) 2:1
D) 3:1
Answer:
c)2:1..................
Answer:
C
Step-by-step explanation:
Find the distance of AB:
Distance formula: [tex]\sqrt{[(-8)-(-2)]^2+(9-1)^2}[/tex]
[tex]\sqrt{(-6)^2+(8)^2}=\sqrt{36+64}=\sqrt{100}=10 units[/tex]
Find the distance of BC:
Distance formula: [tex]\sqrt{[(-2)-1]^2+[1-(-3)]^2}[/tex]
[tex]\sqrt{(-3)^2+4^2}=\sqrt{9+16} =\sqrt{25} =5 units[/tex]
AB=10 units
BC=5 units
AB:BC = 10:5=2:1
4 digit number that is not divisoble by 2,3,5 or 10
Answer:
isiiqywyysyu the first one the first time in a even if it well y eh I just saw your message garako thiya na na hey I k h I just got home from a ko xa ki xaina the morning to get well soon dd ko we
Step-by-step explanation:
eheuieiriieu to be ei ufuirijwjjeuuwuw to jnndhejfjitA rectangular park is 4km long and 2.4 km wide. A. What is the distance if you walke diagonally across the park b. How much shorter is your walk compared to walking the length and width of the park?
Answer:
buuin ang mga sumosunod na hulwarang ritmo grade 4 mosic
Which statement is true
Answer:
D: the total score was between 0 and y
Step-by-step explanation:
correct me if im wrong
Y= -8x+120
What is the y-intercept, and slope
Answer:
y = -2/5x -6 I think!!
Step-by-step explanation:
Answer:
y-intercept - 120
slope - -8x
Step-by-step explanation:
If you remember y=mx+b, m is the slope and b is the y-intercept.
Hope this helps! :)
I need help solving number 4 the hint they gave me is v=-2 I'm clueless
Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together?PLS ANSWER ASAP WILL MARK BRAINLIEST IF CORRECT!!!!
5-7 hours i think, not 100% sure
Step-by-step explanation:
if you have any answer choices can you please list them? I'm not sure if this is correct but I'm guessing it'll take them both 5ish hours. Since Rachel can finish it in 5 hours but Carl takes longer, either they'll get it done in 5 hours or may it'll take a longer like 6 hours if Carl slows Rachel down. hope this helps!
Answer: 3 hours
Step-by-step explanation:
If she can do it in 5 and he, in 8 then subtract 5-8 and you get 3. Together they can complete this in 3 hours. Have a great day!
Drag each label to the correct location.
Use what you’ve learned about proportional relationships to classify these equations as direct variation, inverse variation, or neither.
PLEASE HELPPP
Answer:
Step-by-step explanation:
if eight was subtracted from the product of a number and five, the result is four more than the number. write an equation and solve to find the number
Answer:
3
Step-by-step explanation:
Let the number be x
5*x=5x
5x-8= 4 + x
4x =12
x= 3
Find mJTS
A) 104°
C) 120°
E) 87°
B) 128°
D) 74°
Answer:
104
Step-by-step explanation:
∠JTS = ∠SRT + ∠TSR {exterior angles equals sum of opposite interiror angles}
27x - 4 = 18x + 2 + 30
27x - 4 = 18x + 32
Add 4 to both sides
27x = 18x + 32 + 4
27x = 18x + 36
Subtract 18x from both sides
27x - 18x = 36
9x = 36
Divide both sides by 9
x = 36/9
x = 4
∠JTS = 27x - 4
= 27*4 - 4
= 108 - 4
= 104
Ramon has a rope that is 25 1/2 ft long. He wants to cut it into 6 pieces that are in equal length. How long will each cut be?
Answer:
4.25 ft per segment
b. Create an equation and sketch a graph that:
• has a minimum,
• is discrete, and
• is a linear absolute value function.
Answer:
Step-by-step explanation:
Yes.
Answer:
is a linear absolute value function
Instructions: Write the equation of the line in Point-Slope Form given the information below.
slope = -6/5
Y-Intercept = 2
Shelby invests £14000 in a savings account. The account pays 2.5% compound interest per year.
Work out the value of her investment after 2 years.
Answer:
70000
Step-by-step explanation:
Answer:
£14708.75
Step-by-step explanation:
Always start with the original amount, in this case 14000.
Then, because it's an increase, add 2.5 to 100. You could also think of it as adding 2.5% to 100%, which is 102.5%. We then divide that by 100.
So far our calculation is 14000 x 1.025.
We now need to do this for the two days on. We can do this in 2 ways.
1. 14000 x 1.025 x 1.025
or.
2. 14000 x 1.025^2
They're both the same thing.
We then type that calculation into your calculator and you should get £14708.75
Hope that helped :)
Need to finish this in 5 mins
Answer:
Paper is really blurry sorry, cant see.
Step-by-step explanation:
Miguel runs 5 miles in 38 minutes. At the same rate, how many miles would he run in 57 minutes?
7,5 miles
Step-by-step explanation:
5/x = 38/57
38x = 5 × 57
38x = 285
x = 285/38
x = 7,5 miles
Please help asap! Correct answer gets brainliest
Answer: C - 35
Step-by-step explanation:
If the ratio is 3:5:2 and red books is 21, I believe the answer is C, 35 as 5 times 7 equals to 35.
Answer:
C (35)
Step-by-step explanation:
21 red
There are only 3 red which means you have to find out how you get 21
Find what numbers go with 3
3x7 is 21
mutiply yellow by 7 and get your answer (5x7)
35
Easy points.
Type one word to describe how you feel about your effort in Math
Answer:
boring
Step-by-step explanation:
Answer:
I feel great that is why I feel like helping others. :)
Step-by-step explanation:
Solve for x !!!!plzzzzz
Answer:
12x-4=80
12x=80+4
=84
x=84÷12
=7
what is a numerical answer
Answer:
an answer to a question in number form??
Step-by-step explanation:
If JM=30 and LM=8, what is KM?
If side JM = 30 and side LM = 8, the length of side KM is equal to 15.49 units.
How to determine the length of side KM?In this exercise, we would assign the variable x to the length of side KM. Based on the information provided about triangle JKM and triangle KML, we can logically deduce the following parameters;
Side JL = [(30 + 8) × x]/2
Side JL = 38x/2
Side JL = 19x.
Since point M is the perpendicular bisector of both triangle JKM and triangle KML, the length of side KM can be calculated as follows;
19x = √[(30² + x²)(x² + 8²)]/2
38x = √[(30² + x²)(x² + 8²)]
By taking the square of both sides, we have:
38²x² = (900 + x²)(x² + 64)
38²x² = 900x² + 57,600 + x⁴ + 64x²
38²x² = 964x² + 57,600 + x⁴
(x² - 240)² = 0
x² = 240
x = √240
x = 15.49 units.
Read more on perpendicular bisectors here: brainly.com/question/19154899
#SPJ1
8) 8 kg of apples cost Rs.800, what is the cost of 15 kg of apples?
Answer: 4
Step-by-step explanation:Using unitary method :-
5 kg apple → 600 Rs
1 kg apple →
5
600
= 120 Rs
27 kg apple →120×27=3240 Rs
PLSSS HELP ME OUT WITH THIS QUESTION, PLS PLS PLS AND PLS EXPLAIN!!!
Answer:
C. 15
Step-by-step explanation:
1. First, let's solve the system of equations; [tex]-m - n = 5, m - n = -3[/tex]
Solve -m - n = 5 for m.
[tex]-m -n = 5[/tex] [tex]-m-n+n=5+n[/tex] [tex]-m = n + 5[/tex] [tex]\frac{-m}{-1} = \frac{n+5}{-1}[/tex] [tex]m = -n - 5[/tex]Substitute -n - 5 for m in m - n = -3.
[tex]m - n = -3[/tex] [tex]-n - 5 - n = -3[/tex] [tex]-2n-5=-3[/tex] [tex]-2n-5+5=-3+5[/tex] [tex]-2n = 2[/tex] [tex]\frac{-2n}{-2} = \frac{2}{-2}[/tex] [tex]n = -1[/tex]Substitute -1 for n in m = -n - 5.
[tex]m = -n - 5[/tex] [tex]m = -(-1) - 5[/tex] [tex]m = 1 - 5[/tex] [tex]m = -4[/tex]2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.
[tex]m^2-n^2[/tex] [tex](-4)^2-(-1)^2[/tex] [tex]16 - (-1)^2[/tex] [tex]16 - 1[/tex] [tex]15[/tex]Therefore, the answer is C. 15!
Answer:
c 15
Step-by-step explanation:
-m-n=5
m+n=-5
(m+n)×(m-n)=m²-n²
m²-n²=-3×-5=15
The diagram shows a circle inside a square 16cm Work out the area of the circle
Answer:
Step-by-step explanation:
Since one side of the square is 16 cm, the diameter of the circle is also 16 cm. Which means that the radius is 8. the area of a circle is pi times radius square. so it is pi times 8 squared, which is 64pi