Answers
[tex]4w-2(1-w)=-38\qquad|\text{use distributive property}\\\\4w+(-2)(1)+(-2)(-w)=-38\\\\4w-2+2w=-38\qquad|\text{add 2 to both sides}\\\\4w+2w=-36\\\\6w=-36\qquad|\text{divide both sides by 6}\\\\\boxed{w=-6}[/tex]
Answer: d. w = -6Related Questions
Jeff has a rain gauge that shows 1 3/4 inches of rain. After it rains, the gauge shows 5 1/4 inches of rain. How much rain fell between the two readings?
A) 4 1/2 in.
B) 3 1/2 in.
C) 2 1/2 in.
D) 2 1/4 in.
Answers
That is 5 1/4 - 1 3/4
= 21/4 - 7/4
=14/4
= 3 1/2 inches
If John ran a 5 km marathon how long What is that in meters
Answers
1750932 x 2355435 x Y= ? 50pts
Answers
Simplify as much as possible
1,750,932 x 2,355,435 = 4,124,206,515,420
4,124,206,515,420 x Y cannot be simplified anymore, therefore,
4,124,206,515,420 x Y is your answer
~Rise Above the Ordinary, Senpai
All we need to do here is simplify, since there is no given answer to y. The numbers you've provided are quite large, so I'd suggest just using a calculator, unless they're supposed to be decimals. The simplified answer to this is 412,320,615,420y.
On a recent day 8 euros were worth $9 and 24 euros were worth $27 write an equation of the form y equals kx to show the relationship between the number of euros and the value in dollars.
Answers
Answer:
y=8x/9
Step-by-step explanation:
Given that 8 euros were worth $9 and
24 euros were worth $27.
Let y represent the number of Euros and x no of dollars.
Given that the relation is of the form y = kx+C
When x=0 y =0,
i.e. C =0
Hence equation is of the form y = kx
Substitute x=8 and y =9
We get 9 = 8k
Or k =8/9
Hence relation is y=8x/9 is the relation between x and y.
WE can verify this for 27 dollars worth 24 euros.
24 =8/9(27) is true.
Thus equation is verified.
What’s the answer? (SOMEONE PLEASE HELP ME)
Answers
x = - [tex]\frac{7}{4}[/tex] or x = 0
take out a common factor 2x
2x(4x + 7 ) = 0
equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
4x + 7 = 0 ⇒ x = - [tex]\frac{7}{4}[/tex]
Which equation has the solution x = 3?
1 point
−4x + 6 − 3x = 12 − 2x − 3x
4x + 6 + 3x = 12 + 2x + 3x
4x + 6 − 3x = 12 − 2x − 3x
4x + 6 − 3x = 12x + 2x + 3x
Answers
1.) -4x + 6 - 3x = 12 - 2x - 3x
To start, combine each like-term on each side of the equal sign (The numbers with variables in-common // the numbers alike on the same side of the equal sign):
-7x + 6 = 12 - 5x
Now, we get the two terms with variables attached to them, on the same side, so, we do the opposite of subtraction, which is, addition:
-7x + 6 = 12 - 5x
+5x +5x
_____________
-2x + 6 = 12
Next, you do the opposite of addition, which is, subtraction, and, subtract 6 from both sides:
-2x + 6 = 12
-6 -6
____________
-2x = 6
Finally, divide by -2 on each side, to find out what the value of 'x' is:
-2x = 6
÷-2 ÷-2
________
x = -3
So, the answer is not 'A.'
_________________________________________
Now, we test out the rest of the equations, the exact same way:
2.) 4x + 6 + 3x = 12 + 2x + 3x
Combine your like-terms, on each side of the equal sign:
7x + 6 = 12 + 5x
Now, get both terms, with the variable, 'x,' to the same side, and, to do that, do the opposite of addition, which is, subtraction:
7x + 6 = 12 + 5x
-5x -5x
______________
2x + 6 = 12
Next, subtract 6 from both sides:
2x + 6 = 12
-6 -6
__________
2x = 6
Finally, divide by 2, on both sides:
2x = 6
÷2 ÷2
__________
x = 3
So, the answer is 'B.'
_________________________________________
3.) 4x + 6 - 3x = 12 - 2x - 3x
Again, we combine the like-terms, on both sides of the equal sign:
x + 6 = 12 - 5x
Now, we get both terms with the variable 'x,' to the same side, and, the opposite of subtraction, is addition, so, we're going to add 5x to both sides:
x + 6 = 12 - 5x
+ 5x + 5x
______________
6x + 6 = 12
Now, we subtract 6 from each side, because, the opposite of addition, is subtraction:
6x + 6 = 12
- 6 - 6
_____________
6x = 6
Now, divide by 6, on both sides:
6x = 6
÷ 6 ÷ 6
_____________
x = 1
So, the answer is not 'C.'
_________________________________________
4.) 4x + 6 - 3x = 12x + 2x + 3x
First, we combine the like-terms:
x + 6 = 17x
Next, we get both terms, with the variable, 'x,' to the same side:
x + 6 = 17x
-x -x
_____________
6 = 16x
Now, divide by 16, on both sides:
X = 3/8
So, 'D,' is not the answer.
_______________________
The answer is, 'B.'
I hope this helps!
Plz Answer ASAP...thx! (20 points)
Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled.
How many hours did it take the first plane to travel to the destination?
(Write an equation)
Answers
Bank card is charging 1.4% monthly interest on credit card charges. If you charged a $175 pair of running shoes on the card and did not pay it off this month, what would be the interest for the shoe charge? $2.45 $245 $4.90 $24.50
Answers
Answer:
Option A : the interest for the shoe charge is $2.45.
Step-by-step explanation:
As given, Bank card is charging 1.4% monthly interest on credit card charges.
This amount is charged on $175.
We have the interest value as :
[tex]0.014\times175=2.45[/tex] dollars
Hence, the interest for the shoe charge is $2.45.
the second longest bridge in the world, the tianjin grand bridge, is 373,000 feet long. Its length is 167,700 feet less than the length of the longest bridge in the world. What is the length of the longest bridge? Show your work.
Answers
1 1 <------- Carried Values
37300
167700
+
_______
540700
The length of the longest bridge in the world is found by adding the length of the second longest bridge namely the Tianjin Grand Bridge, and the stated difference between the two bridges' lengths. After calculation, the length of the longest bridge in the world is found to be 540,700 feet.
Explanation:To find the length of the longest bridge in the world, we should add the length of the Tianjin Grand Bridge (the second longest in the world) and the difference between the two bridges. In this case, the length of the Tianjin Grand Bridge is 373,000 feet and it's stated that this is 167,700 less than the length of the longest bridge.
So, we have to do the following calculation: 373,000 feet (length of the Tianjin Grand Bridge) + 167,700 feet (difference in length) = 540,700 feet.
So, the length of the longest bridge in the world is 540,700 feet.
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The perimeter of the triangle is 70cm the area of the triangle is a squared what is a squared
Answers
also there are many 3 numbers that can add up to 70
For which situation is the use of approximate numbers most appropriate?
A) preparing your yearly taxes
B) ordering programs for a high school musical
C) paying a cashier for a meal at a fast food restaurant
D) the maximum number of basketball players allowed on the court at a time
Answers
B) because that number can change but a,c, and d you need to know the exact
The graph shows a car's value as a function of its age.
What was the value of the car in Year 2?
Enter your answer in the box. Do NOT enter a dollar sign or a comma in your answer.
Answers
Sue wants to buy a video that costs $24.95. She has $3 in her pocket and a piggy bank full of quarters,x. Which inequality can be used to represent the number of quarters sue needs to buy the game?
Answers
Given
Sue wants to buy a video that costs $24.95.
She has $3 in her pocket
a piggy bank full of quarters x
Find out the inequality can be used to represent the number of quarters sue needs to buy the game.
To proof
As given in the question
Sue wants to buy a video that costs = $24.95.
She has $3
The value of quaters in the piggy bank = x
1 $ = 4 quaters
First convert $24.95 in the quaters form
= 4 × 24.95
= 99.8 quaters
convert $3 in the quaters form
= 3 × 4
= 12 quaters
The equation become in the form
[tex]12 + x \geq 99.8[/tex]
x = 87.8 quaters
quarters sue needs to buy the game is 87.8 quaters.
Hence proved
Please help me
10 points
Answers
1. 4x = 7(x - 3) 1.Given
4x = (7)(x) + (7)(-3)
2. 4x = 7x - 21 2.Distributive property
4x - 7x = 7x - 7x - 21
3. -3x = -21 3.Subtraction property of equality
-3x : (-3) = -21 : (-3)
4. x = 7 4.Division property of equality
In a factory, a certain machine needs 10 min to warm up. it takes 15 min for the machine to run a cycle. the machine can operate for as long as 6 h per day including warm up time. Draw a graph showing the total time the machine operates during 1 day as a function of the number of cycles it runs.
-What domain and range are reasonable?
-Is the function a linear function?
Answers
Answer:
[tex]y =\frac{1}{6} + 0.25x[/tex]
[tex]0 \leq x \leq23.33[/tex]
[tex]0 \leq y \leq 6[/tex]
Step-by-step explanation:
The machine always takes 10 minutes (or 1/6 hours) to warm up and performs each cycle in 15 minutes, or 0.25 hours.
The maximum amount of daily hours that the machine can work is 6 hours.
Therefore we can represent this situation by means of an equation of the form:
[tex]y =\frac{1}{6} + 0.25x[/tex]
Where
y = daily amount of hours the machine works.
x = number of daily cycles performed.
This equation is a linear function. Because it has the form y = ax where a is a real number
The graph of this equation is shown in the attached image, where the gray shaded area represents the domain of the function.
The domain of the function is:
[tex]x\geq 0[/tex] (because you can not perform less than zero cycles a day)
[tex]x \leq23.33[/tex]. Because the machine can not exceed 6 hours per day, then it can not do more than 23.33 cycles.
So:
[tex]0 \leq x \leq23.33[/tex]
The range of the function is:
[tex]y \geq 0[/tex] (because you can not work less than 0 hours a day)
[tex]y \leq 6[/tex] (because the machine can not work more than 6 hours a day)
So
[tex]0 \leq y \leq 6[/tex]
the ratio of boys to girls at the beach cleanup was 7:8. If there were 43 boys, how many girls were there?
Answers
Jim drove 436 miles using 16 gallons of gas. At this rate, how many limes would he drive using 14 gallons of gas?
Answers
The easiest way to solve this is finding how many miles Jim can drive using just 1 gallon. We can do this by dividing both sides of the ratio by 16.
16÷16 is 1
436÷16 is 27.25
so our new ratio is 1 gallon:27.25 miles.
next we simply multiply both sides by 14.
1x14=14
27.25x14=381.5 miles :)
Does This Table Represent a function? Why Or Why Not?
Answers
Yes, this table represents a function.
Step-by-step explanation:Function--
It is a set of ordered pair of the type: (x,y) in which each input variable i.e. x is mapped to a single output i.e. y.
i.e. each of the value of x is mapped to a single y.
Here after looking the table we observe that each of the value of the independent variable i.e. Hours of training is mapped to a single value of the dependent variable i.e. monthly pay.
please help asap 25 pts
Answers
your answer is A
hope this helps :)
A = [tex]\frac{1}{2}[/tex]bh
[tex]\frac{1}{2}[/tex] × (bh) = A
[tex]\frac{bh}{2}[/tex] = A
bh = A × 2
bh = 2A
b = [tex]\frac{2A}{h}[/tex]
The answer is a: b= [tex]\frac{2A}{h}[/tex]
larry is flying at an altitude of 3,000 feet above ground level. Ground level is 188 feet above sea level. If he descends 567 feet and then climbs 120 feet, how far above sea level is larry? A) 2,692 feet b) 2,741 feet c) 3,041 feet d) 3,259 feet
Answers
Larry is 2365 feet above sea level. Hope this helps :o
Answer: the answer is b 2,741 sorry im late
a company is planning to hire 12 new employees a simulation is run to determine 12 random birthdays using numbers to represent the days of the year (january 1 = 1 through december 31 = 365) based on the simulation what is the probability that a randomly selected employee will have a birthday in the first 100 days of the year?
344 180 274 358 64 121 32 96 151 275 93 49
(Please help and tell me how I do this)
Answers are
0.417
0.583
0.333
0.120
Answers
344 180 274 358 64 121 32 96 151 275 93 49
Out of the 12 numbers above, 5 (in bold type) are 100 or less.
5/12 = 0.41666...
Answer: 0.417
The probability that an employee selected randomly has a birthday in the first 100 days is 0.417
Recall :
Probability = required outcome / Total possible outcomes
Total possible outcomes :
344 180 274 358 64 121 32 96 151 275 93 49 = 12Required outcomes :
Values less Than or equal to 100 : 64, 96, 32, 93, 49 = 5Therefore,
P(first 100 days) = 5 / 12 = 0.41666Therefore, the selection probability is 0.417
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please help me with this problem. image attached.
Answers
The answer is D, (3, -4)
Which transformation shows a translation of 3 units to the right?
Answers
It is the transformation shown in (B)
(look at one point of the letter P and how it moves precisely 3 units. Also there is only the move, no flipping of the figure)
Answer is B.
B shows a translation of 3 units to the right
What conclusion can you draw about the relative frequency of these results?
A) If you are a boy in this group, you are more likely not to eat cereal for breakfast than to eat cereal.
B) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.
C) If you eat cereal for breakfast, you are a boy.
D) Knowing if a person eats cereal will help determin gender.
Answers
B) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.
Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary parts. Which expression could be Amina's result?
Answers
The expression that could be Amina's result is [tex]x = \dfrac{12 \pm \sqrt{-8}}{4}[/tex]
Which expression could be Amina's result?
From the question, we have the following parameters that can be used in our computation:
The list of options
Also, we have that
Her result shows two solutions that are complex numbers with imaginary parts
This can be expressed as
[tex]x = \dfrac{a \pm i\sqrt{b}}{c}[/tex]
From the list of options, the expresion that are of the above form are
[tex]x = \dfrac{12 \pm \sqrt{-8}}{4}[/tex]
hence, the expression that could be Amina's result is [tex]x = \dfrac{12 \pm \sqrt{-8}}{4}[/tex]
Question
Amina used the quadratic formula to solve an equation. Her result shows two solutions that are complex numbers with imaginary parts. Which expression could be Amina's result?
What is the value of x, given that Line of PQ║line BC?
A. 26
B. 15
C. 13
D. 11
Answers
Then we can derive the equation for solving the similar polygons using ratios：
[tex] \frac{6}{x} = \frac{18}{x + 26} [/tex]
by using cross multiplication we can make the equation like this:
[tex]6x + 156 = 12x[/tex]
and we only have to solve for x which is:
[tex]156 = 12x[/tex]
[tex]x = 13[/tex]
The value of x is option C. 13.
What is Triangle Proportionality Theorem?The triangle proportionality theorem states that if a line is drawn inside the triangle which is parallel to any side of the given triangle, then the line intersects other two sides at two different points. Then the division of the other two sides of the triangle will be in the same ratio.
Given is a triangle ABC.
A line PQ is drawn which is parallel to the line BC.
We have to find the value of x, which is the length of AQ.
Using the triangle Proportionality theorem,
AP / PB = AQ / QC
Substituting the values,
6 / 12 = x / 26
Cross multiplying,
12x = 6 × 26
x = 156 / 12
x = 13
Hence the value of x is 13.
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find m ∠RPS
(Image below)
∠RPS=___
Answers
RPS is 90 degrees because of the vertical line theorem... opposite angles are always congruent.
Answer: RPS is 90 degrees
Step-by-step explanation:
Use the following information for problems 1 – 3. Suppose you sign a contract for an annual salary of $50,000 with a guaranteed raise of 5% each year.
1. Write your salary for the next n years as a geometric sequence in explicit form.
2. What will your salary be in year 5?
3. How much will you have earned in total salary by the end of your 10th year?
Answers
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
[tex]a_n = ar^{n-1}[/tex]
1) [tex]a_n = 50000(1.05)^{n-1}[/tex]
2) In order to find salary in 5 years we need to plug n=5, we get
[tex]a_5 = 50000(1.05)^{5-1}= 50000(1.05)^4[/tex]
= 50000(1.21550625)
=$60775.3125.3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
[tex]S_n = \frac{a(1-r^n}{1-r}[/tex]
Plugging n=10, a = 50000 and r= 1.05.
[tex]S_10 = \frac{50000(1-(1.05)^{10}}{1-1.05}[/tex]
[tex]S_10 = \frac{50000(0.050)^{10}}{0.05}[/tex]
= 628894.62678.
Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.You wish to have $3000 in 2 years to buy a fancy new stereo system. How much should you deposit each quarter into an account paying 8% compounded quarterly?
Answers
Answer:
Deposit each quarter = $342.68
Step-by-step explanation:
Formula use in this problem:
[tex] FV=C\times \left [ \frac{(1+i)^n-1}{i} \right ]\times (1+i) [/tex]
Where,
FV is future value, FV=$3000
C is cash flow quarterly( need to find),C=?
I is rate of interest ( divide by 4), i=[tex] \frac{0.08}{4}=0.02 [/tex]
N number of cash flow, n=8
Substitute all these values into formula to solve for C
[tex] 3000=C\times \left [ \frac{(1+0.02)^8-1}{0.02} \right ]\times (1+0.02) [/tex]
[tex] C=\frac{3000\times 0.02}{[(1+0.02)^8-1]\times (1+0.02)}[/tex]
So, C=$342.68
Final answer:
To achieve $3000 in 2 years in an account with 8% interest compounded quarterly, you should deposit $364.11 each quarter.
Explanation:
To find out how much you need to deposit each quarter to have $3000 in 2 years in an account that pays 8% interest compounded quarterly, you would use the future value of a series formula given by:
S = R [((1 + i)^n - 1) / i]
Where:
S = the future value of the series (in this case, $3000)
R = the regular deposit amount per period (what we're solving for)
i = the interest rate per period (8% per year or 0.08 divided by 4 for quarterly = 0.02)
n = the total number of compounds over the period (2 years * 4 quarters/year = 8 compounds)
Plugging in our values:
$3000 = R [((1 + 0.02)^8 - 1) / 0.02]
$3000 = R * [((1.02)^8 - 1) / 0.02]
$3000 = R * 8.2432
So, solving for R, we get:
R = $3000 / 8.2432 = $364.11
Therefore, to have $3000 in 2 years with an account that pays 8% interest compounded quarterly, you need to deposit $364.11 at the start of each quarter.
The regular nonagon has rotational symmetry of which angle measures? Check all that apply. 40° 45° 120° 240° 260° 320°
Answers
Answer:
The correct answers are 40, 120, 240, and 320
Step-by-step explanation:
.
Answer:
1 ,3 , 4, 6
Step-by-step explanation: