Answer:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Step-by-step explanation:
Original equation: w=3(2a+b)-4
1. Distribute the 3 to the numbers inside parenthesis to get:
w=6a+3b-4
2. Subtract 6a from both sides to get:
-6a+w=3b-4
3. Subtract w from both sides to get:
-6a=3b-4-w
4. Divide both sides by -6 and simplify to get:
a=[tex]\frac{-1}{2}[/tex]b+[tex]\frac{2}{3}[/tex]+[tex]\frac{1}{6}[/tex]w
Add or subtract the following fractions. write your answer in simplest form.
-3/7 + 1/4
multiply the following fractions. write in simplest form.
7/10×5/3 =>
-7/2 × 12 =>
change 3/4 into its equivalent decimal form
Answer:
0.75
Step-by-step explanation:
What does 3(-10.50) equal
Anely and Sandra get paid per project. Anely is paid a project fee of $40 plus $11.50 per hour. Brenda is paid a project fee of $28 plus $16.75 per hour. Write an expression to represent how much a company will pay to hire both.
( ) + ( )=
Answer:
$68 to hire and 28.25 per hour to hire both
Step-by-step explanation:
how many 7-digit numbers are there where all the digits are different and in increasing order? for example, the numbers 1345689 and 2456789 would be counted. (the first digit cannot be zero.) (a) 20 (b) 24 (c) 28 (d) 32 (e) 36
There are 544,320 7-digit numbers that are all unique and arranged in increasing order.
We apply the Fundamental Counting Principle to this issue. You are aware that a number has seven digits. According to this theory, you must multiply the potential integers for each digit. There are 9 potential numbers if the initial number can't be zero. Consequently, the first digit's value is 9. Any number, but less than 1, could be used for the second digit since it was already used in the first. Thus, 10 – 1 would equal 9. The value in the third digit must be less than 1 and in the second digit. In this case, 9 – 1 Equals 8. And the list goes on.
Therefore, the number of seven-digit numbers in which all digits are different and in increasing order is:
9 × 9 × 8 × 7 × 6 × 5 × 4 = 544,320
Hence, there are 544,320 7-digit numbers with all different digits in increasing order.
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8x – 12y = 48
Find the x-intercept and y-intercept
Answer:
my answer came out to x = 6 + 1.5y
Step-by-step explanation:
The temperature in Canada on one day was -10 degrees Fahrenheit. The
ternperature on the next day was 20 degrees Fahrenheit. What was the change
in termperature?
the attachment is the question
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Let f(x) = 5x-7 and g(x) = 2x-3. Find f(x)+g(x)
Answer:
7x - 10
Step-by-step explanation:
f(x)= 5x - 7
g(x)= 2x - 3
f(x) + g(x)
= 5x - 7 + 2x - 3
= 7x - 10
The sum of f(x) and g(x) is 7x - 10.
To find the sum of f(x) and g(x), you simply need to add the two functions:
f(x) + g(x) = (5x - 7) + (2x - 3)
Now, combine like terms:
f(x) + g(x) = 5x + 2x - 7 - 3
f(x) + g(x) = 7x - 10
Therefore, the sum of f(x) and g(x) is 7x - 10.
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The scale on a map shows that 5cm is equal to 2km how many cm is 5km?
does anyone know the answer to this?
Answer:
a = 250
b = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
[tex]a=\frac{5x^2}{2}[/tex]
[tex]b=\frac{2x^2(x-5)}{10x}[/tex]
x = 10
Step 2: Evaluate
a
Substitute in x: [tex]a=\frac{5(10)^2}{2}[/tex]Exponents: [tex]a=\frac{5(100)}{2}[/tex]Multiply: [tex]a=\frac{500}{2}[/tex]Divide: [tex]a=250[/tex]b
Substitute in x: [tex]b=\frac{2(10)^2(10-5)}{10(10)}[/tex]Exponents: [tex]b=\frac{2(100)(10-5)}{10(10)}[/tex]Subtract: [tex]b=\frac{2(100)(5)}{10(10)}[/tex]Multiply: [tex]b=\frac{1000}{100}[/tex]Divide: [tex]b=10[/tex]23 What is the area of the shape?(1 Point) O 25 cm² O 50 cm² O 100 cm² O 150 cm² 5 cm 15 cm 5 cm, 10 cm 26°C Mostly clear
The area of the given figure is 100 cm².
In the above figure, we calculate total area by dividing the figure into two sub figures wherein we get a square portion of side 5 cm and a rectangular portion of length 15cm and breadth 5 cm. The area of the square and rectangle can be given as product of their two sides that is length multiplied by breadth.
Area of square portion = 5*5 = 25 square centimeter
Area of rectangular portion =15*5 = 75 square centimeter
Hence total area of the figure = Area of square portion + Area of rectangular portion.
Therefore, Total area of figure = 25 + 75 = 100 cm².
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Hahn Company uses a job-order costing system. Its plantwide predetermined overhead rate uses direct labor-hours as the allocation base. The company pays its direct laborers $18,50 per hour. During the year, the company started and completed only two jobs-- Alpha, which used 62,300 direct labor-hours, and Job Omega. The job cost sheets for the these two jobs are shown below.
Answer:
1. $7 per DLH
2. Total Job Cost = $1,638,000
Step-by-step explanation:
Note: Question is incomplete and similar question is attached as picture below
1. Direct Labor Hours - Omega = $331,800 (Direct Labor) / $14 per Hour (Direct Labor Rate per hour)
Direct Labor Hours - Omega = 23,700 hours
Predetermined Overhead Rate = $165,900 (Applied Manufacturing Overhead) / 23,700 (Direct Labor Hours)
Predetermined Overhead Rate = $7 per DLH
2. Job Cost Sheet for Job Alpha
Direct Material $428,400
[$1,638,000 - ($806,400 + $403,200) ]
Direct Labor $806,400
(57,600 hrs * $14)
Manufacturing Overhead applied $403,200
(57,600 hrs * $7)
Total Job Cost $1,638,000
Two Grade 7 students, Monique and Matt, both solved the following math problem: If the temperature drops from 7°F to -17°F, by how much did the temperature decrease? The students came up with different answers. Monique said the answer is 24°F, and Matt said the answer is 10°F. Who is correct? Explain, and support your written response with details .
Answer: It decreased by 24F not 10F because if it were 10F the starting temperature had to be -7F since the difference between this number and -17F is 10F but in this case it starts at 7F so we subtract 7-0=7 and 17-0=17 and add 17+7=24F.
Step-by-step explanation:
7-0=7
17-0=17
17+7=24F
The change in temperature is -24°F.
Monique said the answer of 24°F is true.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The temperature drops from 7°F to -17°F.
The change in temperature.
= -17 - 7
= -24°F
Thus,
Monique said the answer of 24°F is true.
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Part II. Find x.
Gx-56
x + 10
What kinds of angles are these?
Answer:They are corresponding angles
Have a great day!
Stay safe and healthy!
Happy holiday seasons!
May I please have brainliest?
Solve the equation :6/x+10=2/15
Answer:
x = - 45 / 74
Step-by-step explanation:
6 / x + 10 = 2 / 15
6 / x = 2 / 15 - 10
6 / x = 2 / 15 - 150 / 15
6 / x = - 148 / 15
6 = ( - 148 / 15 ) x
6 ( 15 / - 148 ) = x
x = 90 / - 148
x = - 45 / 74
Evaluate the expression when a=3, b=2, and c=12.
Group of answer choices
6 + a
[ Choose ]
5b
[ Choose ]
c - 1
[ Choose ]
c + 5
[ Choose ]
2a
[ Choose ]
Find the length x (I'm giving 10 points if you answer this question wrong just to get the 10 points I will report your account)
sally runs 5km in 25 minutes. she plans to run in 20 km race. based on the current speed how long will it take her to complete the race?
Given:
Sally runs 5km in 25 minutes.
Total distance of race = 20 km
To find:
How long will it take her to complete the race?
Solution:
We have,
Time taken by Sally for 5 km = 25 minutes
Time taken by Sally for 1 km = [tex]\dfrac{25}{5}[/tex] minutes
= 5 minutes
Time taken by Sally for 20 km = [tex]20\times 5[/tex] minutes
= 100 minutes
= 1 h 40 minutes [ 1 h = 60 min]
Therefore, the time taken by Sally to complete the race is 1 h 40 minutes.
A cylinder trash can is 30in high and has a base radius of 7in. a manufacturer wants to know the surface of this trash can, including the top of the lid.
The surface area of the given cylinder trash can is 1,628 in²
The surface area of a cylinder is equal to the area of curved surface plus the area of flat surfaces. The flat surfaces are the base and the lid.
Area of the curved surface = 2 π.r.h
Area of the flat surfaces = 2 π.r²
Hence,
Total surface area of a cylinder = 2 π.r.h + 2 π.r²
= 2 π.r (h + r)
Where:
h = height
r = radius of the base
Parameters given:
h = 30 in.
r = 7 in.
Substitute these parameters into the formula:
Area = 2. (22/7) . 7. (7 + 30)
= 1,628 in²
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Can someone please help me with proofs
2) AE is congruent to ED, BE is congruent to ED (a bisector splits a segment into two congruent parts)
3) Angle AEB is congruent to angle DEC (vertical angles are congruent)
4) Triangle ABE is congruent to triangle CDE (SAS)
Solve for x.
please help me!!
Answer:
(2)(18)x
=36x
Step-by-step explanation:
sorry if its wrong i need points and i didnt quit know what this was but sorry if this was wrong and sorry if i didnt help
What is x? -4(x+2)=4(2-2x)
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
-4(x + 2) = 4(2 - 2x)
Step 2: Solve for x
Divide -4 on both sides: -(x + 2) = 2 - 2xDistribute negative: -x - 2 = 2 - 2xAdd 2x on both sides: x - 2 = 2Add 2 on both sides: x = 4Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: -4(4 + 2) = 4(2 - 2(4))Multiply: -4(4 + 2) = 4(2 - 8)Add/Subtract: -4(6) = 4(-6)Multiply: -24 = -24Here we see that -24 does equal -24.
∴ x = 4 is the solution to the equation.
what is five percent of thirty
If you know the answer to this, please say it! Equation and all too! Thank you :DD
Answer
x=33
Step-by-step explanation:
since they're both on the same line we must equal them to 180.
18 + x + 4x -3 = 180 (Now you simplify terms)
5x + 15 = 180 (Subtract the 15 from both sides)
5x = 165 (divide by 5 to isolate the variable)
x = 33 (Hope I was able to help :) )
Please help! I don’t understand this :(
9514 1404 393
Answer:
see attachment
Step-by-step explanation:
The "experimental probability" is the ratio of actual outcomes of interest to the number of trials. It is based on actually performing the selection over and over some number of times. The "theoretical probability" will be the fraction that is the outcomes of interest divided by the total number of possible outcomes.
We note that Mel's purse contains a total of 6 +8 +4 +7 = 25 coins. The theoretical probability of selecting any given coin is then 1/25.
__
Orange
A. The experimental probability of selecting a dime is ...
number of dime outcomes / number of trials = 30/150 = 1/5
B. The theoretical probability of selecting a dime is ...
(4 dimes)/(25 coins) = 4/25
C. The assumption in probability experiments is that randomly selected outcomes will always approach the theoretical probability in their frequency of occurrence.
See the attachment for the appropriate answer choices.
__
Purple
A. The experimental probability of selecting a penny is ...
number of penny outcomes / number of trials = 45/200 = 9/40
B. The theoretical probability of selecting a penny is ...
(6 pennies)/(25 coins) = 6/25
C. The difference between these values is ...
6/25 -9/40 = 48/200 -45/200 = 3/200
See the attachment for the appropriate answer choices.
Abbie paints twice as fast as beth and three times as fast as cathie. If it takes them 60 min to paint a living room with all three working together, how long would it take abbie if she works alone?
Abbie takes 110 minutes t complete painting work alone.
How Abbie take 110 minutes to complete painting work alone?Let x= time takes Abbie to paint the room
1 minute =1/x part the of room painted paint by Abbie paint the room
2x minute times takes both to paint the room
so, in 1 minute 1/2x part of the room paint by Abbie and Beth
Abbie paints three times faster than Cathie
Cathie takes 3x minutes take time to paint the room.
in 1 minute 1/3x part of room paint by Cathie
they take 60 minute to paint a room all three working together
in 1minute 1/x+ 1/2x+ 1/3x parts
in 60 minute = ( 1/x+1/2x+ 1/3x) 60 =1 room
= [tex]\frac{6x+3x+2x}{6x^{2} } 60[/tex] = 1
= [tex]\frac{11x}{6x^{2} } 60[/tex] = 1
x = 110 minute
Abbie take 110 minutes to complete painting work alone.
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In a certain mid-size city, 90% of the high school graduates are from public schools
and the other 10% are from private schools. Of the private school grads, 80% go on
to complete college, but only 50% of the public school grads complete college. What
is the probability that a high school graduate from this city will complete college?
A) 1.3
B) .9
C) .58
D) .47
E) .53
E.) .53
I just took this so I hope it helps
Zane changes the oil in his car 4 times each year. What is the ratio of the number of times he changes his oil per month?
Help me please :(
Answer:
4:3 i think
Step-by-step explanation:
He changes the oil in his car 4 times each year. There are 12 months in one year. He changes the oil every 12 months. Divide 12 by 4. Zane changes the oil in his car every three months.
please help (ill give brainiest) A function is represented by the table.
x y
3 -2
5 -26
7 -50
The rate of change of the function represented in the table is (blank). For the given x- and y-values, the function is (blank)
answer choices 1; -13, -12, 13, 12
2; increasing, decreasing, constant
.
Answer:
-12, decreasing
Step-by-step explanation:
you can graph it if its confusing to understand. if you graph it and put a line to the points, you can see that the line is going down at a rate of -12
Answer:
-12 decreasing
Step-by-step explanation: