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Related Questions
Over a 8 week period, the price of an MP3 player dropped steadily, from $82 to $26. What is the average weekly change in the price of the MP3 player over this period?
Answers
Since there are 7 days in a week, I'd divide 56 by 7: 56/7 = 8.
Therefore, the average weekly change is $8.
Problem page two trains leave stations 390 miles apart at the same time and travel toward each other. one train travels at 65 miles per hour while the other travels at 85 miles per hour. how long will it take for the two trains to meet
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Help pleeeeease
Theo deposited $1,250 in a savings account that pays 6% interest, compound quarterly. What was his balance at the end of the second quarter after the interest had been added?
A. $1,270.31
B. $1,270.65
C. $1,290.62
D. $1,287,78
Please explain your answer clearly! and explain how you got it!
Answers
The interest is compounded quarterly, or 4 times per year. That means at the end of each quarter year (3 months), he gets 3-months worth of interest added to the principal amount.
Since the interest is added each quarter, and since the yearly interest rate is 6%, the interest earned in 1 quarter is 6%/4 =1.5%. In 1 quarter (3 months), he earns 1.5%.
Start with $1250.
At the end of the first quarter, he earned 1.5% interest.
$1250 + 1.5% * $1250 = $1250 + 0.015 * $1250 = $1250 + $18.75 =
$1268.75
At the end of the first quarter he now has $1268.75.
Now he will earn interest for the second quarter.
He starts with $1268.75 and will earn 1.5% interest on that.
We do the same calculation we did above, but we start with $1268.75.
$1268.75 + 1.5% * $1268.75 = $1268.75 + 0.015 * $1268.75 = $1268.75 + $19.03 = $1287.78
The answer is $1287.78
Each quarter=3 months
So balance at the end of the second quarter means the balance after 6 months
The formula to find the balance is
A=p (1+r/k)^kt
A the balance?
P initial deposited 1250
R interest rate 0.06
K compounded quarterly 4
T time 6months/12months
Plug in the formula
A=1250 (1+0.06/4)^(4×(6/12))
A=1250 (1+0.06/4)^(2)
A=1287.78
So the answer is d
Hope it helps!
A women drives her car 245 miles in 5 hours at this rate how far will she travel in 7 hours
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The woman's average speed is 49 miles per hour, so in 7 hours she will travel 343 miles.
To solve how far a woman will drive in 7 hours at the same rate as she did for 245 miles in 5 hours, we need to calculate her average speed and then use that to find the distance for 7 hours. The average speed is calculated by dividing the total distance by the total time of travel. So in this case, the average speed is 245 miles divided by 5 hours, which is 49 miles per hour.
Next, to find out how far she will travel in 7 hours, we multiply her average speed by the total time of travel. Therefore, 49 miles per hour multiplied by 7 hours equals 343 miles.
How do you use a Number line to multiply two digit numbers by 20
Answers
what is 10.85 divided by blank equals 1.55. what is the missing number
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10.85 / 7 = 1.55
The missing number is 7.
Hope this helps!
10.85/1.55 = x
x = 7
Answer: 7 is your missing number because 10.85/7 = 1.55 is true.
if angle A has a measurement of 42 degree and is complementary to angle B whats the measurement of angle B
Answers
This means that:
angles A + angle B = 90
42+angle B = 90
angle B = 90-42 = 48 degrees
85 points, Brainliest, ill report random answers>ban
What is the scale factor of the dilation?
A (−4, −6) B(−8, 2) C(−2, 4)
A' (−2, −3) B'(−4, 1) C'(−1, 2)
A. 2
B. 1/2
C. - 1/2
D. −2
Answers
all the coordinates of the original triangle have been multiplied by 1/2
A (-4,-6) x 1/2 = -2,-3
B (-8,2) * 1/2 = -4,1
C (-2,4) *1/2 = -1,2
so the scale factor is 1/2
Answer is B
if you add one-third of a number to itself, you get 1348. what is the number?
Answers
1 1/3x=1348
x=1011
An equation is formed of two equal expressions. The number is 1,011.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the unknown number be represented by x.
Given that if you add one-third of a number to itself, you get 1348. Therefore, we can write the given statement in the form of an equation as,
(1/3)x + x = 1348
(x/3) + (3x/3) = 1348
(x + 3x)/3 = 1348
4x / 3 = 1348
4x = 1348 × 3
x = (1348×3)/4
x = 1011
Hence, the number is 1,011.
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Given a standard deck of cards, what is the probability of drawing a face card, given that it is a red card?
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Teds needs a average of at least 70 on his three history test. he has already scored 85 and 60 on two test. what is the minimum grade ted needs on his third test
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85 + 60 + 65 = 210
210 divide by three (as there are three tests) = 70
Which expression is equivalent to sin(2x) − sinx?
A. 2cos(x/2) sin(3x/2)
B. 2cos (3x/2) sin(x/2)
C. 2sin(3x/2) cos(x/2)
D. 2sin (3x/2) sin(x/2)
Answers
[tex]\bf cos({{ \alpha}})-cos({{ \beta}})=-2sin\left(\cfrac{{{ \alpha}}+{{ \beta}}}{2}\right)sin\left(\cfrac{{{ \alpha}}-{{ \beta}}}{2}\right)\\\\ -------------------------------\\\\ sin(2x)-sin(x)\implies 2cos\left( \cfrac{2x+x}{2} \right)sin\left( \cfrac{2x-x}{2} \right) \\\\\\ 2cos\left( \cfrac{3x}{2} \right)sin\left( \cfrac{x}{2} \right)[/tex]
The expression sin(2x) − sinx is equivalent to 2sin (3x/2) sin(x/2) therefore option (D) is correct.
Recall the formula of sine
[tex]\sin x-\sin y=2 \sin (\frac{x+y}{2}) \sin (\frac{x-y}{2})[/tex]
How to find the equivalent expression?The given expression is sin (2x) − sin x.
Apply the formula
[tex]\sin (2x) - \sin x =2 \sin (\frac{2x+x}{2}) \sin (\frac{2x-x}{2})[/tex]
[tex]=2 \sin (\frac{3x}{2}) \sin (\frac{x}{2})[/tex]
Hence the expression is equivalent to 2sin (3x/2) sin(x/2)
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A bakery sells packages of 6 cupcakes for $10. If the bakery starts selling the cupcakes in packages of 12, how much would you expect a packet of 12 to cost?
Answers
Hope I helped good luck have a nice nite and I hope u enjoy the rest of ur weekend
On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run down, what is the total length of Ted's hike?
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So the other guy has the right work but at the end he messed up. The real answer is 10 miles.
By establishing the relationship between Ted's uphill and downhill travel times, we can set up an equation to solve for the one-way distance D of the hike. We find that the one-way distance D is 5 miles, making the total length of the hike 10 miles.
Explanation:On an uphill hike, Ted climbs at a rate of 3 miles an hour. Going down, he runs at a rate of 5 miles an hour. If it takes him 40 minutes longer to climb up than run-down, we need to figure out the total length of Ted's hike.
First, let's establish the relationship between the times it takes Ted to hike up and run down the hill. If T is the time it takes to run down, then the time to hike up is T + 40/60 hours (since 40 minutes is two-thirds of an hour).
Let D be the distance of the hike one way. As Ted climbs up at a rate of 3 miles per hour, the uphill time is D/3. Running down at a rate of 5 miles per hour, the downhill time is D/5. We can set up the following equation:
D/3 = D/5 + 40/60
Multiplying through by 15 to eliminate fractions, we get:
5D = 3D + 10
This simplifies to:
2D = 10
Dividing by 2:
D = 5 miles
Since the total hike involves going up and then down the same distance, the total length of the hike is:
Total Length = 5 miles + 5 miles = 10 miles.
Write the first 4 terms in the sequence defined by the explicit rule f(n)=n^2 - 5 *n^2 means n squared
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Assuming, n = 0 is the starting value.
1st term is when n = 0:
f(0) = (0)^2 - 5 = 0 - 5 = -5
2nd term: f(1) = (1)^2 - 5 = 1 - 5 = -4
3rd term: f(2) = (2)^2 - 5 = 4 - 5 = -1
4th term: f(3) = (3)^2 - 5 = 9 - 5 = 4
Therefore, the first 4 terms are: -5, -4, -1, 4.
The length of a football playing field is 100 yards between the opposing goal lines. What is the length of the football field in feet? Use the conversion equivalency of 3 feet = 1 yard.
a.
33.3 feet
b.
300 feet
c.
200 feet
d.
600 feet
Answers
Answer: b. 300 feet
Step-by-step explanation:
We know that 1 yard = 3 feet
Given : The length of a football playing field is 100 yards between the opposing goal lines.
Then, the length of the football field in feet will be :-
[tex]100\times3=300[/tex]
Therefore, the length of the football field in feet = 300 feet
Hence b is the correct option.
Algebra help please!
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Using the figure below A) What is the length of A'B'? B) Show your work/ explain how you got your answer. Question 10 options:
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B
C
D
multiply them by 6 and add 3.5 to your answer and youll get the right one
The length of a rectangle is 4 yd longer than its width. if the perimeter of the rectangle is 32 yd, find its area.
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let : x the length and : y the width
2(x+y) the perimeter and ; xy the area.
x = y +4...(1)
2(x+y) = 32 ...(2)
subsct x by (1) in (2) :
2(y+4 +y) = 32
2y +8 +2y = 32
4y =24
y = 24/4 = 6 yd
x= 6+4=10 yd
the area is : 60 yd²
The area of rectangle is 60 yd²
What is mean by Rectangle?
A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of a rectangle is 4 yd longer than its width.
Let, the length = x
And, width = y
Now,
Perimeter of rectangle = 2(x+y)
the area of rectangle = xy
x = y+ 4
2(x+y) = 32
Subtract x by equation (1) in (2), we get;
2(y+4+y) = 32
2y+8 +2y = 32
4y = 24
y= 24\4
y =6yd
And, x = 6+4
x = 10yd
Thus, Area of rectangle = xy
= 10 × 6
= 60yd²
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How to find the slope intercept form of the equation using another line in slope intercept form and a point for the line?
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Answer:
IF the other line is parallel you use the same slope (m) as the line given then find the y intercept (b) by plugging in the (x,y) and m into y = mx + b
Step-by-step explanation:
A fair coin is tossed four times. what is the probability that the sequence of tosses is hhtt?
Answers
The probability of obtaining a tail is 1/2.
The 4 tosses are independent events.
Therefore the probability of obtaining hhtt is
(1/2)⁴ = 1/16
Answer: 1/16
Solve this system of linear equations. -14x + 11y = 23 7x - 3y = 37
x=? y=?
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To solve the linear system given by -14x + 11y = 23 and 7x - 3y = 37, we used the elimination method, which resulted in finding the solution x = 13.6 and y = 19.4.
Explanation:To solve the system of linear equations given by -14x + 11y = 23 and 7x - 3y = 37, you can use the method of substitution or elimination. Here, I'll demonstrate the elimination method:
Multiply the second equation by 2 to make the coefficients of x in both equations equal in magnitude but opposite in sign:2(7x - 3y) = 2(37)
14x - 6y = 74Add this equation to the first equation:
-14x + 11y + 14x - 6y = 23 + 74
5y = 97Divide by 5 to find y:
y = 97 / 5
y = 19.4Substitute y = 19.4 into the first or second original equation to find x. Using the first equation:
-14x + 11(19.4) = 23
-14x + 213.4 = 23
-14x = 23 - 213.4
-14x = -190.4
x = -190.4 / -14
x = 13.6
Therefore, the solution to the system of equations is x = 13.6 and y = 19.4.
Cyndi bought an extra large pizza, cut into 12 pieces, for today's meeting of the mystery club. She ate 1/6 of the pizza yesterday afternoon. Her brother ate 1/5 of what was left last night. Cyndi knows that she needs 8 pieces of pizza for the club meeting. Help Cyndi figure out if she has ebough pizza left for the meeting.
Answers
She ate 1/6 of the pizza which left her with 10 slices left (she ate two slices of the 12).
Then her brother ate 1/5 of the pizza which means that he also ate two slices (because 1/5 of 10 is 2).
That means she has 8 slices left: enough for her meeting.
Answer:
Thus, she has enough pizza left for the meeting.
Step-by-step explanation:
It is given that, Cyndi cut pizza in 12 pieces.
Also, She ate 1/6 of pizza yesterday afternoon.
⇒ She ate = [tex]12\times\frac{1}{6} = 2\ \text{pieces}[/tex]
Her Brother ate 1/5 of left pizza
⇒ Her Brother ate = [tex]10\times\frac{1}{5} = 2\ \text{pieces}[/tex]
Then she has left pieces of pizza = 12 - (2 + 2) = 8 pieces
And also that much pieces she wants for the club meeting.
Thus, she has enough pizza left for the meeting.
A segment has endpoints with coordinates - 3 and 4. What is the coordinate of the segment's midpoint?
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Which statement is true? @jimthompson5910
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It is in the form y = mx+b
m = 0.5 is the slope
b = 1.3 is the y intercept
The slope of 0.5 indicates that each time x increases by 1, the value of y will increase by 0.5 (since 0.5 = 0.5/1)
Translate this into the context of the problem and that means "for every extra person attending (x), the prep time increases by roughly 0.5 hours" which is what choice C is saying, well a paraphrase of it anyway.
Answer: Choice C
Hugo decided to pay $2 a week to his brother to buy a bicycle. The equation y – 10 = –2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay. How much did the bicycle cost? $ After how many weeks will Hugo finish paying for the bike?
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He needs 15 weeks to pay back his brother completely.
What is an equation?An equation is written in the form of variables and constants separated by the operation of multiplication and division,
An equation states that terms in different forms on both sides of the equality sign are equal.
Multiplication and division do not separate the terms of an equation.
Hugo decided to pay $2 a week to his brother to buy a bicycle.
The equation y - 10 = - 2(x – 10) models the amount of money he owes for the bike, where x is the number of weeks and y is the amount of money he still needs to pay.
To pay back to the brother he must owe no money which is y = 0.
∴ The weeks needed is,
0 - 10 = -2(x - 10).
- 10 = -2x + 20.
2x = 30.
x = 15.
He needs 15 weeks to pay back completely.
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What is the greatest common factor for 96, 72 48?
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4(2x - 5) + 15 = 11 Write the steps you will use to solve the equation and explain each step.
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Second, add 15 to 8x-20
Third, that would equal 8x-20+15=11
Fourth, 15+-20= -5
Fifth, 8x-5=11
Sixth, add +5 to -5 and +5 to 11= 8x=16
Last, do 8x/8x and 16/8x
The answer is x=2
8x+15=11+20
8x+15=31
8x=31-15
8x=16
X=2
First, add 20 to both sides
Simplify
Subtract 15 from both sides
Simplify
Divide 8 from both sides
Simplify
An isosceles triangle has a perimeter of 82 cm. The lengths of the legs of the triangle are represented by (3x +2) and (5x-14). Find the length of the base of the triangle.
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The triangle's base measures 82 in length.
What is the Permeter of a traingle?
The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangleSum of the three sides equals the perimeter.Units are always a part of the ultimate response. The final solution should be given in centimeters if the triangle's sides are in that unit.According to our question,
IF (3X+2) & (5X-14) ARE THE EQUAL SIDES THEN
3X+2=5X-14
-2X=-16
X=-16/-2
X=8
THUS THE EQUAL SIDES ARE
3*8+2=24+2=26
5*8-14=40-14=26
SO
82=BASE+26+26
BASE=82-52
B=30 CM.
30+26+26=82
82=82
Hence we can say that the triangle's base measures 82 in length.
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Final answer:
The lengths of the two legs of the isosceles triangle are equal, and by setting the expressions for these lengths equal to each other and solving for 'x', we find that the length of the base of the triangle is 30 cm.
Explanation:
The perimeter of an isosceles triangle is given as 82 cm. The two legs are represented by the expressions (3x + 2) and (5x - 14). Since it is isosceles, these two expressions must be equal because the lengths of the legs are equal, as stated by the theorem.
First, set the expressions equal to each other to find the value of 'x':
3x + 2 = 5x - 14
We then solve for 'x' by subtracting 3x from both sides and adding 14 to both sides:
16 = 2x
x = 8
After finding 'x', we can determine the length of one of the equal sides by substituting 'x' back into either of the original expressions:
Length of one side = 3x + 2 = 3(8) + 2 = 26 cm
Since we have two sides of the same length, we multiply by 2 to find the total length of the two legs:
Total length of two legs = 26 cm imes 2 = 52 cm
To find the length of the base, subtract the total length of the two legs from the perimeter:
Length of the base = 82 cm - 52 cm = 30 cm.
Therefore, the length of the base of the isosceles triangle is 30 cm.
which graph represents the equation y=3x^2+12x-6