Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
11/15-(w-8/15)=0
Step by step solution :
Step 1 :
8
Simplify ——
15
Equation at the end of step 1 :
11 8
—— - (w - ——) = 0
15 15
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 15 as the denominator :
w w • 15
w = — = ——————
1 15
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
w • 15 - (8) 15w - 8
———————————— = ———————
15 15
Equation at the end of step 2 :
11 (15w - 8)
—— - ————————— = 0
15 15
Step 3 :
11
Simplify ——
15
Equation at the end of step 3 :
11 (15w - 8)
—— - ————————— = 0
15 15
Step 4 :
Adding fractions which have a common denominator :
4.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
11 - ((15w-8)) 19 - 15w
—————————————— = ————————
15 15
Equation at the end of step 4 :
19 - 15w
———————— = 0
15
Step 5 :
When a fraction equals zero :
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
19-15w
—————— • 15 = 0 • 15
15
Now, on the left hand side, the 15 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
19-15w = 0
Solving a Single Variable Equation :
5.2 Solve : -15w+19 = 0
Subtract 19 from both sides of the equation :
-15w = -19
Multiply both sides of the equation by (-1) : 15w = 19
Divide both sides of the equation by 15:
w = 19/15 = 1.267
One solution was found :
w = 19/15 = 1.267
Step-by-step explanation:
(4x3 + 2x + 6) + (2x3 – x2 + 2)
Answer:
26
Step-by-step explanation:
Start by solving everything in the parentheses
(12 +2x + 6) + (6 - 2x + 2)
now open parentheses and combine like terms
(12 + 6 + 6 + 2) + (2x -2x)
= 26 + 0
= 26
Can someone please help me with this ASAP‼️ Thank You
Let x = cost of the dishwasher.
The amounts the children are paying are:
Mark =20% = 1/5, so 1/5x
Sorin = 75
Raymond = 1/4x
Stephanie = 75
Kristin = 1/3x
Add them together:
x = 1/5x + 1/4x + 1/3x + 75 + 75
x - ( 1/5x + 1/4x + 1/3x ) = 150
Rewrite fractions with common denominator:
x - ( 12/60x + 15/60x + 20/60x ) = 150
60/60x - 47/60x = 150
13/60x = 150
x = 150/1 • 60/13
x = 9000/13
x = 692.31
The total cost of the dishwasher is $692.31
Now calculate the amount each child pays:
Mark = 1/5 x = 692.31/ 5 = $138.46
Sorin = $75.00
Raymond = 1/4 x = 692.31 / 4 = $173.08
Stephanie = $75.00
Kristin = 1/3 x = 692.31 / 3 = $230.77
pls pls pls pls pls pls help me pls like i dont know if i have the answer right pls help me
Evaluate the expression.
Answer:
-2
Step-by-step explanation:
[tex]2 (\sqrt{\frac{80}{5} }-5)[/tex]
[tex]2(\sqrt{16}-5)[/tex]
[tex]2(4 - 5)[/tex]
[tex]2(-1)[/tex]
[tex]-2[/tex]
Marty says he would rather have –$5 than $0. Do you agree with Marty? Explain.
Answer:
I disagree with Marty!
Step-by-step explanation:
If Marty would have -$5 it would mean he owns that person $5. If you don't have money you don't owe anything.
For example:
Isaiah has $20 and then he spends $18 and he only has $2 left.
Isaiah doesn't have enough money for anything else or should've not bought anything to save his allowance.
As you can see Isaiah has spent 18 dollars. Therefore, if the person has to ask for the money back, he would have to own those $18.
Back to the problem, Marty would rather have -$5 than $0. If he would rather have -$5 it means he has to own the person.
Therefore Marty would rather have $0.
Sample Response: I disagree with Marty’s statement because negative numbers are less than 0, so having −$5 would mean I would owe $5 to someone.
Explain the steps you would take to complete this
conversion problem.
46 lb
1.
Х
1kg
2.2 lb
х
1,000 g
1kg
= ?
We have been given a conversion problem. We are asked to convert 46 pounds into grams.
First of all, we will convert pounds to kg.
We know that 1 kg is approximately 2.2 pounds.
[tex]\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}[/tex]
Now we will convert kg to grams.
We know that 1 kg equal 1000 grams.
[tex]\frac{46\text{ lb}}{1}\times \frac{1\text{ kg}}{2.2\text{ lb}}\times \frac{1000\text{ g}}{\text{1 kg}}[/tex]
Now we will cancel out common units that is kg with kg and pounds by pounds.
[tex]\frac{46}{1}\times \frac{1}{2.2}\times \frac{1000\text{ g}}{1}[/tex]
Now we will multiply the terms in numerator and denominator.
[tex]\frac{46\times1\times1000\text{ g}}{1\times2.2\times1}[/tex]
[tex]\frac{46,000\text{ g}}{2.2}[/tex]
[tex]\frac{46,000\text{ g}}{2.2}=20,909.0909\text{ g}\approx 20,909.1\text{ g}[/tex]
Therefore, 46 pounds are approximately 20,909.1 grams.
The converted value for the given conversion problem is 20,909.1 grams, which is determined by dimensional analysis.
The conversion problem is given as:
46 lb/1 × 1 kg/2.2 lb × 1000/1 kg
To convert 46 pounds (lb) to kilograms (kg) using dimensional analysis.
Start with the given value: 46 lb.
Multiply by the conversion factor of 1 kg/2.2 lb.
This ratio converts pounds to kilograms, where 1 kilogram is approximately equal to 2.2 pounds.
The lb unit cancels out, leaving you with the value in kilograms:
(46 lb) × (1 kg/2.2 lb) = 20.9091 kg (rounded to four decimal places).
Lastly, multiply by the conversion factor 1000/1 kg to convert the result to grams (since 1 kg = 1000 grams).
The final result is approximately 20,909.1 grams.
Learn more about the dimensional analysis here:
https://brainly.com/question/30303546
#SPJ3
Solve for b.
12 =
18 + 6b
Step-by-step explanation:
Step 1: Subtract 18 from both sides
[tex]12 = 18 + 6b[/tex]
[tex]12 - 18 = 18 - 18 + 6b[/tex]
[tex]-6 = 6b[/tex]
Step 2: Divide both sides by 6
[tex]-6 / 6 = 6b / 6[/tex]
[tex]-1 = b[/tex]
Answer: [tex]b = -1[/tex]
PLEASE HELP ME! I ONLY HAVE A LIMITED TIME!!!
I am completing a color sheet for my math class. I have a set of markers with 2 purples, 1 black, 3 reds, 2 yellows, and 2 blues. What is the probability that I will randomly select a red marker, keep it, and then randomly select a yellow marker?
A. 47/90
B. 3/10
C. 1/15
D. 2/9
Answer:
Option C.
Step-by-step explanation:
Number of purple markers = 2
Number of black marker = 1
Number of red markers = 3
Number of yellow markers = 2
Number of blue markers = 2
Total number of markers = 10
Probability to select randomly a red marker = [tex]\frac{\text{Number of red markers}}{\text{Total number of markers}}[/tex]
= [tex]P(red)=\frac{3}{10}[/tex]
Now we keep with us and randomly select a marker again.
So remaining markers with us = (10 - 1) = 9
Probability of the randomly selected marker to be yellow P(yellow)
= [tex]\frac{\text{Number of yellow markers}}{\text{Number of remaining markers}}[/tex]
= [tex]\frac{2}{9}[/tex]
Probability of both the events (selecting red AND yellow) = P(red) × P(yellow)
= [tex]\frac{3}{10}\times \frac{2}{9}[/tex]
= [tex]\frac{6}{90}[/tex]
= [tex]\frac{1}{15}[/tex]
Therefore,Option (C) will be the answer.
You write down the temperatures at different times on one of the match days midnight - -6degrees 4 am - -8 degrees 8am- -4 degrees noon- 7degrees 3 pm- 6 degrees 7pm- -2 degrees what is the difference between the lowest and the highest temperature? thanks
Answer:
the difference is 15 degrees
Step-by-step explanation:
HIghest Temp- (7)
Lowest Temp (-8)
-8 +15 = 7
7-15 = -8
What is the angle QRP in the given figure?
Answer:
Since AB || QR and PR is a transversal.
∠QRP=∠ABP=100 o
[Corresponding angles]
Step-by-step explanation:
Multiply (5 × 104)(7 × 103), express in scientific notation.
Answer:
5 times 104 is 520
7 times 103 is 721
Step-by-step explanation:
Answer:
5 x 104 = 520
7 x 103=721
Have a great day
How to find the volume of cylinders
Answer:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Step-by-step explanation:
Answer:
cylinder volume formula
v = (π * r²) * h
Step-by-step explanation:
To calculate the volume of a cylinder we have to multiply the height by the area of the circle that is the base
The area of a circle is calculated with this formula (a = π * r²)
Let's do an example where the radius is 5.5ft and the height is 13ft to see how to calculate the volume
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 13ft
π = 3.14
r = radius = 5.5ft
v = (π * r²) * h
we replace the unknowns with the values we know
v = (3.14 * (5.5ft)²) * 13ft
v = (3.14 * 30.25ft²) * 13ft
v = 94.985ft² * 13ft
v = 1234.805ft³
The volume of the cylinder is 1234.805ft³
Find the value of x in the attached diagram
Answer:
74
Step-by-step explanation:
74
Simplify the expression below (assuming x and y are non-zero numbers).
Answer: Option 2
Step-by-step explanation:
[tex]\frac{15x^4y^-^2}{3x^2y^3}[/tex]
Divide 15 by 3 and substract the variables's exponents.
[tex]5x^4^-^2y^-^2^-^3[/tex]
Solve;
[tex]5x^2y^-^5[/tex]
or
[tex]\frac{5x^2}{y^5}[/tex]
The second option is correct. The resulting expression when the indices is simplified according to the law of indices is [tex]\frac{5x^2}{y^5}\\[/tex]
Given the indices expression;
[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}[/tex]
Using the following laws of indices to solve the problem:
[tex]a^n \times a^m = a^{n+m}\\a^n \div a^m = a^{n-m}\\[/tex]
From the given indices
[tex]\dfrac{15x^4y^{-2}}{3x^2y^3}\\=\frac{15}{3} \times \frac{x^4}{x^2} \times \frac{y^{-2}}{y^3}\\= 5 \times x^{4-2} \times y^{-2-3}\\=5\times x^2y^{-5} \\= 5x^2y^{-5[/tex]
This can also be expressed as:
[tex]=5x^2 \times \frac{1}{y^5}\\= \frac{5x^2}{y^5}\\[/tex]
Learn more here:
https://brainly.com/question/20298728
Can someone help me out with this one?
Answer:
[tex]F(x)=\left \{ {{-\frac{1}{2}+1, x<0 } \atop {2x-2, x\geq0}} \right.[/tex]
Step-by-step explanation:
There are 2 linear equations, one with an open circle and one with a closed one. Depending on where the circle is, that will tell you your start. Both circles start at 0 on the graph. The open circle means that the first equation will be x < 0. The second equation has a closed circle so it will be [tex]x\geq 0[/tex] because the linear equation is increasing positively.
Now you need to the start point of both equations.
[tex]x<0[/tex] start point is 1 on the y-axis
[tex]x\geq 0[/tex] start point is 2 on the y-axis
Now you have to find the slope for the two equations
[tex]x<0[/tex] the equation goes up 1 and and over 2
[tex]x\geq 0[/tex] the equation goes up 2 and over 1
Now put together the equations
[tex]x<0[/tex] [tex]\frac{-1}{2} + 1[/tex]
[tex]x\geq 0[/tex] [tex]2x - 2[/tex]
A town has two trucks to collect garbage. When both truck are in use, they take 6 hours to collect all the garbage. When only the small truck is in use it takes 24 hours to collect the garbage how long would it take to collect the garbage if only the large truck is in service?
Answer:
8 hours
Step-by-step explanation:
In this case, the speed would be given by the garbage collection / hour, therefore the two together, that is to say from the sum of both, would be 1/6 the speed and for the small truck it would be 1/24
So to calculate the speed of the big truck it would be:
1/24 + 1 / x = 1/6
1 / x = 1/6 - 1/24
1 / x = 0.125
x = 1 / 0.125
x = 8
Which means that only the big truck would take only 8 hours
The large garbage truck, when working alone, can collect all the garbage in 8 hours. This is found by setting up equations for the combined rate of work of both trucks and the rate of work of the small truck alone, then solving for the large truck's rate of work.
The problem describes a work rate scenario where two garbage trucks work together and individually to complete a task. To solve for the amount of time the large truck would take to collect all the garbage by itself, we can use the rate of work formula which is Work = Rate * Time. When both trucks work together, their combined rate multiplied by 6 hours results in the work being completed. When the small truck works alone, its rate times 24 hours completes the work. We can set up equations to represent these scenarios.
Let, 1 represent the total work (collecting all the garbage), S be the small truck's rate of work, and L be the large truck's rate of work.
From the provided information, we have:
For both trucks: S + L = 1/6 (since together they take 6 hours)For the small truck: S = 1/24Substituting S from the second equation into the first equation, we get:
L + 1/24 = 1/6
Therefore, L = 1/6 - 1/24
After finding a common denominator and subtracting, we find:
L = 4/24 - 1/24
L = 3/24
L = 1/8
So, the large truck's rate of work is 1/8, meaning the large truck can collect all the garbage in 8 hours working alone.
What is the value of x in the equation (2x+2) x+34
Answer:
you cant find the value of x with just that. i need an equal sign along with the number
Step-by-step explanation:
What is the amplitude of g(x) = 10 cos (6x - 1) – 4?
Answer:
im notm sure sorry
Step-by-step explanation:
Answer:
answer : 10
Step-by-step explanation:
what’s the answer and the work ?
Answer:
2√14
Step-by-step explanation:
√56
√2^2 x 14
√2^2 √14
2√14
The town of Lantana need $14,000 for a new playground. Lantana elementary school raised $5,358, Lantana middle school raised $2,834 and Latana highschool raised 4,132. About how much more money do you need to raised
Answer:
$1676
Step-by-step explanation:
The town of Lantana need $14,000 for a new playground.
Lantana Elementary School raised $5,358.
Lantana Middle School raised $2,834.
Latana High School raised $4,132.
The total amount raised so far is:
$5358 + $2834 + $4132 = $12324
The amount left to raise is:
$14000 - $12324 = $1676
You need to raise $1676.
By adding the amounts raised by all three schools, which is $12,324, and subtracting from the goal of $14,000, we find that an additional $1,676 is needed to fund the new playground in Lantana.
To determine how much more money is needed to reach the $14,000 goal for a new playground in Lantana, we need to sum up the amounts raised by Lantana Elementary School, Lantana Middle School, and Lantana High School, and then subtract this total from the goal.
Lantana Elementary School raised: $5,358
Lantana Middle School raised: $2,834
Lantana High School raised: $4,132
Adding these amounts together we get:
$5,358 + $2,834 + $4,132 = $12,324
To find out how much more is needed:
$14,000 - $12,324 = $1,676
Therefore, the town of Lantana needs to raise an additional $1,676 to meet the goal for the new playground.
Shawn made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 9 pans. Each batch of peanut butter brownies makes 7 pans. Shawn made 13 batches and ended up with 97 pans of brownies. How many batches of each type of brownie did he make?
Answer:
On my test i just took it was a total of 30.
Step-by-step explanation:
Which graph represents the linear function G(x)= 4x-1
Answer:
2
Step-by-step explanation:
What is the approximate area of the shaded sector in the circle below?
Answer: It’s 17.3. Just checked :D
what is the anwser to (2a - 6)(3a + 15)=0
the number of girls in a class is 10 more than the number of boys. if there are 36 students in all, how many girls are there in the class.
Answer:
23 Girls
Step-by-step explanation:
23 plus 13 equals 36 and 23 is 10 more than 13.
Answer:
the number of girls in the class is 23
Step-by-step ex
23 +13=36
Calculating Areas of Multiple Polygons
Each unit on the coordinate grid represents
1 yard.
The rectangular pool and triangular hot tub shown are both in need of covers.
How much total material is needed to cover both?
square yards
Answer:
the answer is 29
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Find the square root.
V121 =
Answer:
11
Step-by-step explanation:
[tex] \sqrt{121} = \sqrt{11 \times 11} = 11 \\ [/tex]
What is x? Please help FAST
Answer:
x=35°
Step-by-step explanation:
X is 35° because of vertical angle.
I need help with 16,17,and 18! I WILL MARK YOU BRAINLIEST!!!
Answer:
sin 56 = 0.8290
cos 23 =0.9205
Step-by-step explanation:
you can literally find this by typing: sin 56 deg in google.
or use a calculator.
The distribution of the amount of money spent by students for textbooks in a semester is approximately normal in shape with a mean of $240 and a standard deviation of $25. According to the Standard Deviation Rule, in a semester, almost all (99.7%) of the students spent on textbooks in a semester:_________.
The final part of the question is asking;
How much did all (99.7%) of the students spend on textbooks in a semester
Answer:
almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.
Step-by-step explanation:
The standard deviation rule describes to us that for distributions that have the normal shape, approximately 99.7% of the observations fall within 3 standard deviations of the mean.
In this question, we are given that; Mean = 240 and Standard deviation= 25
So, 3 standard deviation below the mean = Mean - 3(standard deviation)
= 240 - (3 × 25)
= 240 - 75 = 165
Now, 3 standard deviation above the mean = Mean + 3 standard deviation = 240 + (3 × 25)
= 240 + 75 = 315
So, almost all (99.7%) of the students spent between $165 and $315 on textbooks in a semester.