Answers
Answer:
2.(b) w= 3
3. x= -3 or x= 3
Step-by-step explanation:
2.(b) Method 1:
[tex] \frac{2w - 1}{5} + w + 2 = 2w \\ \frac{2w - 1}{5} = 2w - w - 2 \\ [/tex]
Simplify:
[tex] \frac{2w - 1}{5} = w - 2[/tex]
×5 on both sides:
[tex]2w - 1 = 5(w - 2)[/tex]
Expand:
[tex]2w - 1 = 5w - 10[/tex]
Bring constants to 1 side, w terms to the other:
[tex]5w - 2w = 10 - 1[/tex]
Simplify:
[tex]3w = 9[/tex]
Divide both sides by 3:
[tex]w = 9 \div 3 \\ w = 3[/tex]
Method 2:
[tex] \frac{2w - 1}{5} + w + 2 = 2w[/tex]
Multiply by 5 throughout:
[tex]2w - 1 + 5(w + 2) = 5(2w)[/tex]
Expand:
[tex]2w - 1 + 5w + 10 = 4w[/tex]
Simplify:
[tex]7w - 9 = 4w[/tex]
+9 on both sides:
[tex]7w = 4w + 9[/tex]
-4w on both sides:
[tex]7w - 4w = 9[/tex]
Simplify:
[tex]3w = 9[/tex]
Divide by 3 on both sides:
[tex]w = 3[/tex]
3. [tex] \frac{6x - 12}{3} + 4 = \frac{18}{x} [/tex]
Multiply by 3x on both sides:
[tex] \frac{3x(6x - 12)}{3} + 3x(4) = \frac{3x(18)}{x} \\ x(6x - 12) + 12x = 3(18)[/tex]
Expand:
[tex]x(6x) - x(12) + 12x = 54 \\ 6x^{2} - 12x + 12x = 54 \\[/tex]
Simplify:
[tex]6 {x}^{2} = 54[/tex]
Divide by 6 on both sides:
[tex] {x}^{2} = 9[/tex]
-9 on both sides:
[tex] {x}^{2} - 9 = 0[/tex]
Factorise:
*Since a²-b²= (a +b)(a -b),
[tex] {x}^{2} - {3}^{2} = 0 \\ (x + 3)(x - 3) = 0[/tex]
Thus,
x +3= 0 or x -3= 0
x= -3 or x= 3
Answer:
w = 3
Step-by-step explanation:
(6x-12)/3 + 4 = 18/x
Simplify fraction
2x -4 +4 = 18/x
Combine -4+4=0 Divide by 2 to reduce
x = 9/x
Multiply both sides by x
x² = 9
x = 3, -3
Related Questions
Cindy deposited $350 into a savings account. As long as the account balance remains at or above $200, she does not have to pay a service fee for the account. For how long can she withdraw $30 a month without having to pay service fees?
A) 5 months
B) 6 months
C) 7 months
D) 8 months Help!
Answers
Answer:
5 months
Step-by-step explanation:
30x5=150
350-150=200
Answer:
$350 - $200 = $150 ÷ $30 = 5
=> A) 5 months
can anyone help please
Answers
Answer (least to greatest): Virus, Human Hair, Parasite, Paper
Step-by-step explanation: The number of zeros on the left side is the same as the exponent at the end of the problem.
Answer:
1.7*10^-6
6.7*10^-4
9.65*10^-2
2.5*10^-2
Step-by-step explanation:
0.0000017
0.0067
0.0965
0.025
what is 8 4/5 as a decimal
Answers
Answer:
8.80
Step-by-step explanation:
The decimal is 8.8
What is Decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
given:
8 4/5
Now, writing into normal fraction
8 4/5 = 44/5
Now, dividing the fraction
44/5 = 8.8
Hence, the decimal is 8.8
Learn more about decimal here:
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HELP ME, I need to get the value of the numbers
Answers
Step-by-step explanation:
Every line = 180 degrees
First subrtact 75 from 180
After that, you have p1, p5, n7, and m3 = 108
Then that gives you the answer to the rest of them
p4 p8 and n6 = 75
Side note: If I were you I would study so that I could actually answer the questions when I'm being called on, but I get it.
Helpppppp me ! pleasee!
Answers
Answer:
500
Step-by-step explanation:
Arrange the following measurements in order from smallest to largest
4.1 liters, 0.7 liters and 2,000 millimeters
Answers
Answer:
first we change 2000mm into litres and I think 1000 mm is equals to 1 L then you look at the first digit and in the first number we have for as the first digit the second number 0 the third number two so in this case 0.7 l is the smallest then 2000mm then 4.1 letters
The measurements in order from smallest to largest is,
0.7 liters, 2,000 millimeters, 4.1 liters
Here,
Given measurements are, 4.1 liters, 0.7 liters and 2,000 millimeters
We have to arrange in order from smallest to largest.
What is Measurements?
The process of associating numbers with physical quantities and phenomena is called Measurements.
Now,
1 liters = 1,000 millimeters
Hence, 2,000 millimeters = 2,000/1,000 = 2 liters
So,
The measurements in order from smallest to largest is,
⇒ 0.7 liters, 2 liters, 4.1 liters
⇒ 0.7 liters, 2,000 millimeters, 4.1 liters
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A truck whose bed is 2.5m long, 1.5m wide, and 1.0m high is delivering sand for a sand-sculpture competition. About how many trips must the truck make to deliver [tex]7m^{3}[/tex] of sand?
Answers
Answer:
68.6 Trips
Step-by-step explanation:
2.5m+1.5m+1.0=5
5m per trip
7m^3=343
divide the amount that can fit in each trip (5m)
by the amount of sand needed for the sculpture. (343m)
343 /5=68.6
The Equation is =______________
Answers
Explanation: i really don’t know, the answer above me had it. have a good day, remember to eat, get ready and be thankful for what you have bye!
Use the function f(x)=2−5x to fill out the table.
Answers
Answer:
12, 7, 2, -3, -8
Step-by-step explanation:
I will only do the first one for an example.
If x was to equal -2 you would put it into the function like this.
f(x)=2-5x
f(-2)=2-5(-2)
f(-2)=2+10
f(-2)=12
Answer:
Step-by-step explanation: x2=y12, x-1=y7,
x0=y2, x1=y-3, x2=y-8
Hope this helps.
A paper company is cutting a tree to build the foundation of a house. At the end of the first day, the company had hauled away 3/10 of a truckload of wood. On the second day, they hauled away 1/10 of wood. How many woods did they haul away in all?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
4/10
Step-by-step explanation:
its like adding 3 +1 but in a different way
When we rotate clockwise or counterclockwise, the two rotations should always add up to ( ) degrees
Answers
Answer:
360 degrees
Step-by-step explanation:
Combine the like terms to create an equivalent expression: 2r+1+(-4r) +7
Answers
Answer:
6r
Step-by-step explanation:
Answer: -2r+8
Step-by-step explanation:
The parked values _____ in a proportional relationship. ( fill in the blank with are or are not) X 0 1 2 3 4 Y 1 4 7 10 13
Please hurry
Answers
Answer:
are ig
Step-by-step explanation:
PLEASE HELP NOW PLEASE!!!!!!!!!!!
Eli found the same jacket he wants to buy at four different stores. Each of the stores is offering discounts for the holiday weekend. Place the store letters in the boxes to show the sales price of the jacket from least to greatest.
A. Store A, Store C, Store B, Store D
B. Store A, Store B, Store C, Store D
C. Store C, Store A, Store D, Store B
D. Store B, Store D, Store A, Store C
Answers
Answer:
C
Step-by-step explanation:
56.54 A
57.6 B
56.375 C
57.375 D
Name the property illustrated by this equation, and describe the meaning of the property.
x * 5 = 5x
Answers
Answer:
Symmetric property
Step-by-step explanation:
If x*5=5x then 5x=x*5
Hoped this helped
Answer:
Commutative Property of Multiplication
Step-by-step explanation:
The commutative property of multiplication says that changing the order of factors does not change the product.
Help Asap show your work on both will mark brainliest!
Answers
Answer:
27. You'll lose 24 points in the trivia game
28. The average yearly change is 12 employees per year.
Step-by-step explanation:
27. 3 times 8 is 24
28. 60 divided by 5 is 12
what is 5/8 x 9/8
blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answers
Answer:45/64
Step-by-step explanation:
Answer:
45/64 i think
Step-by-step explanation:
[tex]\frac{5}{8} x \frac{9}{8} =\frac{45}{64} \\5x9=45\\8x8=64\\or 0.703125\\[/tex]
A school paid $31.25 for each calculator.
a. If the school bought x calculators, how much did they pay?
b. The school spent $500 on calculators. How many did the school buy?
Answers
Answer:
A. 31.25x=$500
B. 16
Step-by-step explanation:
a)
The amount paid for x calculators is 31.25x.
b)
The number of calculators the school bought is 16.
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,
Cost of each calculator = $31.25
Cost of x calculators.
= 31.25x
Now,
The total cost of the calculators = $500.
The number of calculators bought.
= 500/31.25
= 16
Thus,
The cost of x calculators is 31.25x.
The number of calculators bought is 16.
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Quiana took out a loan to pay for a new car. Initially, she owed the lender $15,234.68. She has repaid $247.43 of the loan each month for the past 5 months. What is the net change to the loan from Quiana’s perspective over the past 5 months?
Quiana made five equal monthly payments from her bank account. Which rational number shows something being removed five times?
Answers
Answer:
247.43 times 5 =1237.15
15,236.86-1237.15=13999.71
13999.71 divide 5=2799.942
Step-by-step explanation:
The rational number is 5 months
Answer:
Answer: $1237.15
Step-by-step explanation:
Initial loan amount = $15,234.68
Monthly payment =$247.43
Payment's made in last five(5) months = $247.43 × 5
= $1237.15
Current balance
= $15,234.68 - $1237.15
= $13,997.53
Net change
= Initial loan amount - current balance
= $15,234.68 - $13,997.53
= $1237.15
Step-by-step explanation:
Briniest pls help!!!!!!!!!!
Answers
i think brainliest is important
Can someone help me with this? (20 points if answered) And I will mark the 1st one with brainliest because you have a fat and beautiful brain :)
Answers
Answer:
If the exponent is positive, move the
(12 2/3) (3 1/4)
A) 36 1/12
B) 36 1/6
C) 41 1/12
D) 41 1/6
Answers
it is correct
Which equation shows a direct proportional relationship?
A. y = 3/x
B. y = 3x
C. y = 3x - 1
D. 3x + y= 1
Answers
Answer:
A. y = 3/x
Step-by-step explanation:
Determine if the given value makes the equation true or false. For x3 – 8 = 15, if x = 69
Answers
Answer:
(69)(3)−8 = 15
199≠15
False
Step-by-step explanation:
hope it helps, 69(3) is already bigger than 15, then -8 makes it 199, which is definitely not equal to 15.
Answer:
False
Step-by-step explanation:
69 * 3 =207
207 - 8 = 199
x3 - 8 = 199 for x = 69
Please help!!!!!!!!!!
Answers
Answer:
it should still be 40 if you think about it.
Step-by-step explanation:
ANSWER
I think it is c
1/3 x 6/7 giveing brainlist for best answer
Answers
This can also be simplified to 2/7.
In order to figure this out, just multiply the numerators ( 1 and 6) and the denominators (3 and 7) straight across to get your answer.
Hope this helps:)
Can someone Please help me and quick An d show the work all of it
Answers
Answer:
A
Step-by-step explanation:
Like terms must have the same exponents and variables, but can have different coefficients
PLEASE help me.
WILL MARK YOU BRAINLEST:
Lazarus’ Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Robert’s Boat Rentals does not charge a yearly fee but charges $14.75 every time a member rents a boat. How many times would a person have to rent a boat for Lazarus’ and Robert’s charges to be equal
Answers
Answer:
The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times
Step-by-step explanation:
Answer: The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal is 20 times
Step-by-step explanation:
The given information are:
For the Lazarus' Boat Rentals company
The yearly charges by Lazarus' boat company = $105
The charge each time a member rents a boat = $9.50
For the Robert's Boat Rentals company
The yearly charges by Robert's boat company = $0
The charge each time a member rents a boat = $14.75
Let the number of times required before the charges for both Lazarus' Boat Rentals company and Robert's Boat Rentals company to be equal, we have:
$105 + $9.50 × t = $14.75 × t
∴ t = $105/($14.75 - $9.50) = 20 times
The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times.
Stephanie collected data about the high temperature in her city for 7 days in a row. The high tempertures for the 7 days were 70°, 78°, 85°, 73°, 65°, 78°, and 89°. She made the following graph to show her data.
She says the temperature in her city is pretty consistent. How could she redraw the graph so that the daily temperture doesn't seem quite so consistent?
Answers
Answer:
She could increase the step on the graph / the gradient from every ten degrees to every five degrees
Step-by-step explanation:
can someone help me with first question
Answers
Answer:
Step-by-step explanation:
4^2= 4 x 4 =16
Answer:
16
Step-by-step explanation:
You would multiply 4 by 4 because it is 4 to the second power to get 16.