Answer:
631%
Step-by-step explanation:
Answer:
631%
Step-by-step explanation:
(2-y)(3y+8)=0 solve
Answer:
Step-by-step explanation:
(2 - y)(3y + 8) = 0
2 - y = 0
y = -2
3y + 8 = 0
y = -8/3
Katie invested a total of $8000 part at 5% simple interest in part at 6% simple interest. at the end of one year the investments had earned $454 interest. how much was invested at each rate?
If Katie invested a total of $8000, part at 5% simple interest and part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest
Given,
The total invested amount = $8000
Consider the amount invested at 5% simple interest as x and the amount invested at 6% simple interest as y
Then, the equations will become
x + y= 8000
x = 8000-y
At the end of one year the investment = $454
0.05x + 0.06y =454
Substitute the value of x in the equation
0.05(8000-y) + 0.06y =454
400-0.05y+0.06y =454
0.01y+400=454
0.01y =54
y = 5400
Substitute the value of x in
x + y = 8000
x+5400=8000
x=8000-5400
x=2600
Hence, if Katie invested a total of $8000, part at 5% simple interest and part at 6% simple interest and at the end of one year the investments had earned $454 interest, then she invested $2600 at 5% and $5400 at 6% simple interest
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A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $90.93, that she would like to purchase for her family. However, her family only consists of 5 people. If she wants to purchase 5 t-shirts for her family members at that special rate, what would be the cost of these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar = 8.6964 Krona)
Using proportions, it is found that the cost of the 5 t-shirts would be of 564.83 Kronas.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for currency conversion problems, as multiplication or division operations are applied according to the rates of each coin.
For this problem, we have that 7 t-shirts cost $90.93, hence the cost of a t-shirt in U.S. dollars is given applying the proportion to find the unit rate as follows:
$90.93/7 = $12.99.
The cost of 5 t-shirts will be given by:
5 x 12.99 = $64.95.
Applying the proportion 1 U.S. Dollar = 8.6964 Krona, the cost in Kronas is:
64.95 x 8.6964 = 564.83 Kronas.
The cost of the 5 t-shirts would be of 564.83 Kronas.
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How many simple random samples of size 4 can be selected from a population of size 8?
a. 70
b. 32
c. 1680
d. 4
70 simple random samples of size 4 can be selected from a population of size 8
According to the question, samples of size 4 have to be selected from a population of size 8. The selection can be made in
8C4 ways.
Selection=8C4=8!(8−4)!4!
Selection=8!(8−4)!4!
Selection=8×7×6×5×4!4!×4×3×2
Selection=2×7×5
Selection=70
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Some students were surveyed about their favorite type music and school-subject preferences. The results are displayed below. Which of the following is true, according to the graph? There is a much larger preference for science among those who prefer R&B. There is a much larger preference for English among those who prefer rock. There is a much smaller preference for math among those who prefer country. The percentages for class preference are relatively the same among the different music groups.
The 4th statement is the most correct, imo
"There is a much larger preference for science among those who prefer R&B", but there is only less than 20% of the students who prefer science.
"There is a much larger preference for English among those who prefer rock", but there is only a little more than 20% of the students who prefer english.
"There is a much smaller preference for math among those who prefer country", but nearly 40% of the students prefer math.
And looking at it, all the subject preferences for all kind of music groups are pretty much evenly distributed.
The solution to the box plot is the percentages for class preference are relatively the same among the different music groups
What is box plot?A box and whisker plot, often known as a box plot, shows a data set's five-number summary. The minimum, first quartile, median, third quartile, and maximum make up the five-number summary.
A box is drawn from the first quartile to the third quartile in a box plot. At the median, a vertical line passes through the box.
It is used when showing the distribution of data points across a selected measure and if the box in a box plot is stretched in one direction or the other, then the data is skewed in that direction.
Given data ,
Let the plot be represented as A
Now , the x axis represents the favorite music type
And , the y axis represents the relative frequency
From the R and B column , the science people is less than mathematics people
From the Rock column , the English people is less than mathematics people
From the country column , mathematics people is greater than English people
And , from the plot we can say that percentages for class preference are relatively the same among the different music groups
Hence , the box plot represents similar percentages
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a region is bounded by semicircular arcs constructed on the side of a square whose sides measure $2/\pi$, as shown. what is the perimeter of this region?
According to the question, a region is bounded by semicircular arcs on the side of the squares. Therefore, the side of the square is the diameter of the circle.
And the side of the square is [tex]\frac{2}{\pi }[/tex].
Now, the radius of the semicircle is [tex]\frac{1}{2} \frac{2}{\pi } =\frac{1}{\pi }[/tex]
The length of the semicircular arc is equal to half the circumference of the corresponding circle.
Therefore, the length of the arc is [tex]\frac{1}{2} (2)(\pi)\frac{1}{\pi } =1[/tex]
Now, the desired parameters of the region made by these arcs is [tex](4)(1)=4[/tex]
What are semicircular arcs and circumference of the circle?
Semicircular arcs is another name for the semicircle. It divides the circle into two parts. And the endpoints on a circle defines the minor arc or major arc. Similarly, circumference is the perimeter of the circle.
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What is the true answer of 8.50x+70=750??????????
Answer:
x = 80
Step-by-step explanation:
750 - 70 = 680
680 / 8.5 = x
need urgent help in math please!!
please help find answer, and explain how you got it! (solution) thank u!!
Answer: 24x² + 20x + 4
Step-by-step explanation:
Area of a rectangle can be found with A = L * W;
A = L * W
A = (8x + 4) * (3x + 1)
Now we can use the "FOIL" method, which is used to multiply binomials.
[F] First ➜ 8x * 3x = 24x²
[O] Outside ➜ 8x * 1 = 8x
[I] Inside ➜ 4 * 3x = 12x
[L] Last ➜ 4 * 1 = 4
Lastly, we add it all together for our final answer.
24x² + 8x + 12x + 4 = 24x² + 20x + 4
Answer:
24x^2+20x+4
Step-by-step explanation:
Area is length times width.
The length is (8x+4) and the width is (3x+1).
If we follow the formula for the area of a rectangle, then it would be
(8x+4)(3x+1).
Next, you would foil.
Take the first and multiply it by the second equation as follows
8x*3x+8x*1 which would give you
24x^2+8x
Then, you would take the second from the first equation and multiply it with the second equation as well.
4*3x+4*1 which would give you
12x+4
Combine all of it together
24x^2+8x+12x+4
Combine like terms
24x^2+20x+4
That's the area.
Hope this helps.
The image point of A after translation right 4 units and 3 units up is the point B (-1,8)
Based on the vertices of point B, the image point of point A before the translation is (-5, 5)
What is the original image point?To find the original image point, you need to move in reverse from the point that was created by the translation.
In order to find point A, from point B you should move left 4 units and down 3 units.
This means that the x-axis point would be:
= -1 - 4
= -5
The y-axis point:
= 8 - 3
= 5
The image point of A is (-5, 5)
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What is the equation of the line that passes through the point (-1,-1) and has a slope of -4?
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ - 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{- 4}(x-\stackrel{x_1}{(-1)}) \implies y +1= -4 (x +1) \\\\\\ y+1=-4x-4\implies {\LARGE \begin{array}{llll} y=-4x-5 \end{array}}[/tex]
What fraction must 7/6x be multiplied by to result in it having the least common denominator
Answer:
Step-by-step explanation:
1/6
The clock face in a famous clock tower has a radius of about 5 meters. What is the area of the clock face to the nearest square meter? Use 3.14 as an approximation for pie.
Answer:
78.5m
Step-by-step explanation:
Area of circle = [tex]\pi[/tex]r^2
Area of clock = 3.14 x 5^2 = 78.5m
select the correct answer. which measurement is equivalent to 350 milliliters? a. 3.5 × 102 liters b. 3.5 × 101 liters c. 3.5 × 10–2 liters d. 3.5 × 10–1 liters
According to the given information the measurement is equivalent to 350 milliliters = 3.5 x 10⁻¹.
The correct option is D.
What is conversion factor?A conversion factor is a quantity that is used to multiply as well as divides one set of units by another. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches to feet, for example, the suitable conversion value is 12 inches equal 1 foot.
What is the significance of conversions?Conversion KPIs are critical for determining the efficacy of marketing campaigns. Only by measuring how many users convert as a result of that spend can you calculate your ROAS.
According to the given data:We are given an amount of 350 milliliters and asked to convert it to liters.
We know that :
1 liter = 1000 milliliters
We are given an amount of 350 milliliters and asked to convert it to liters.
1 liter/x liter = 1000/350
x = 350/1000
x = 3.5 x 10⁻¹
The given information the measurement is equivalent to 350 milliliters = 3.5 x 10⁻¹.
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I understand that the question you are looking for is:
Which measurement is equivalent to 350 milliliters?
A. 3.5 × 102 liters
B. 3.5 × 101 liters
C. 3.5 × 10–2 liters
D. 3.5 × 10–1 liters
Write 0.0000000642 in scientific notation.
Answer:
How to write 0.0000000642 in scientific notation? The number 0.0000000642 in scientific notation is written as 6.42 × 10 -8. Scientific notation is a way of expressing numbers that are too large or too small, written in the form of a power of 10.
I hope this helped! Contact me for more information!
Answer: 6.42*10^(-8)
Step-by-step explanation:
0.0000000642=
0.642/10000000=
6.42/(10*10000000)=
6.42/100000000=
6.42/(10^8)=
6.42*10^(8*(-1))=6.42*10^(-8)
find the equations that describe the circle of radius 3 centered at (8, 5, 6) that is parallel to the xy-plane.
The equation of the circle can be given by: (x - 8)² + (y - 5)² = 9.
What is a circle's equation?The equation for a circle in standard form is (x - x1)² + (y - y1)² = r², where (x, y) denotes arbitrary coordinates on the circle's perimeter, r denotes the circle's radius, and (x1, y1) denotes the coordinates of the circle's center.
Now,
Every point on a circle fulfills the equation describing it. A circle with radius r and a point (h, k, l) parallel to the xy plane have the following equation: (x - h)² + (y - k)² = r²We are given the values of h as 8, k as 5 and r as 3. On substituting them in the given equation, we get:=> (x - 8)² + (y - 5)² = 9
Hence, the equation that describe the circle of radius 3 centered at (8, 5, 6) that is parallel to the xy-plane is given by: (x - 8)² + (y - 5)² = 9
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Members of a softball team raised $2045.50 to go to a tournament. They rented a bus
for $1041.50 and budgeted $62.75 per player for meals. Which equation or tape
diagram could be used to represent the context if p represents the number of players
the team can bring to the tournament?
Answer: B
Step-by-step explanation:
Your checking account is the negative by $50. you write a check for $20. what is the balance in your account
What is the common denominator for 5/6 and 2/7
Answer:The common denominator is 42.
Step-by-step explanation:mutiply 6 x 7
Answer:
This would be 42,
to find this, just find the lcm of 6 and 7, you can do this by writing a chart and circling the least common multiple they both share
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day :)
assuming 69.6 heartbeats/minutes, estimate the total number of times the heart of a human beats in an average lifetime of 89.3 y. assume 365.25 days per year. answer in units of heartbeats. your answer must be within ± 5.0%
The total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.
To calculate time:
We are to estimate the total number of times a human heart beats in an average lifetime based on the question.Based on the information provided,We will assume 69.6 heartbeats per minute.To calculate the total number of times the heart of human beats in an average lifetime of 89.3 years,
In 89.3 years, we will calculate the number of minutes.
89.3 years = 89.3 × 365.25 × 24 × 60 minutes89.3 years = 46968228 minutesBecause there are 69.6 heartbeats per minute
Then,
There are 46968228 heartbeats in 46968228 minutes.
46968228 × 69.6 = 3,268,988,688.8 heartbeatsTherefore, the total number of times a human heart beats in an average lifetime of 89.3 years is estimated to be 3,268,988,688.8 heartbeats.
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if a1 = 10 and an = an - 1 + 1 then find the value of a4
The value of the fourth element of the series is 13.
How to determine the value of an element of the series by using recurrence formulas
In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.
Now we proceed to find the value of the fourth element of the series:
n = 2
a₂ = a₁ + 1
a₂ = 10 + 1
a₂ = 11
n = 3
a₃ = a₂ + 1
a₃ = 11 + 1
a₃ = 12
n = 4
a₄ = a₃ + 1
a₄ = 12 + 1
a₄ = 13
The value of the fourth element of the series is 13.
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Answer:
Step-by-step explanation:
The value of the fourth element of the series is 13.
How to determine the value of an element of the series by using recurrence formulas
In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.
Now we proceed to find the value of the fourth element of the series:
n = 2
a₂ = a₁ + 1
a₂ = 10 + 1
a₂ = 11
n = 3
a₃ = a₂ + 1
a₃ = 11 + 1
a₃ = 12
n = 4
a₄ = a₃ + 1
a₄ = 12 + 1
a₄ = 13
The value of the fourth element of the series is 13.
M∠1=19 , m∠2 what is the answer?
Answer:
161 degrees since 180 - 19 would be 161 since they are supplementary if they are
Step-by-step explanation:
equivalent expression to 2x7 + 2x3
Answer: 20
Step-by-step explanation:
2x7 + 2x3=
2*7 + 2*3=
14+6=20
If l is parallel to m, find the values of x and y in the diagram below
The values of x and y in the lines are x = 13 and y = 54
How to determine the values of x and yFrom the question, we have the following parameters that can be used in our computation:
The lines m and n are parallel lines
This means that the following angles are congruent by the corresponding angle theorem
7x - 31 + 5x - 8 + 63 = 180
4y + 27 - 180 = 63
Solving the equation 4y + 27 - 180 = 63
We have the following representation
4y + 27 - 180 = 63
Evaluate the like terms
4y = 216
Divide by 4
y = 54
Recall that
7x - 31 + 5x - 8 + 63 = 180
Evaluate the like terms
12x = 156
Divide by 12
x = 13
Hence, the values are x = 13 and y = 54
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Eve is mixing paint to match a specific shade of orange. She mixes red paint and yellow paint
in different ratios. The color matches best when Eve uses 4 ounces of red paint and ounces of
yellow paint.
Eve has 1 ounce of red paint left. How many ounces of yellow paint should she add to match the
same shade of orange?
In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint.
Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint. To get orange shade she has to add 4 ounces of yellow paint to get same shade.
Given that,
In order to get a precise orange color, Eve is mixing paint. She combines various ratios of red and yellow paint. Eve finds that using 4 ounces of red paint and 1 ounce of yellow paint results in the best color matching. Eve still has one ounce of red paint.
We have to see the ratio
4:1
extra 1 red paint that is
4+1:1
5:1
Therefore, To get orange shade she has to add 4 ounces of yellow paint to get same shade.
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factor quadratic of 3x² - 23x +30
Answer:
(3x - 5)(x - 6).
Step-by-step explanation:
In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,
since 18 + 5= 23 and 18*5
We can then factor the quadratic as follows:
[tex]\sf 3x^2 - 23x +30[/tex]
we can write it as:
[tex] \sf 3x^2 -(18+5)x + 30 [/tex]
Opening bracket
[tex] \sf 3x^2 - 18x -5x +30 [/tex]
Taking common from each two terms
[tex] \sf 3x(x-6) -5(x-6) [/tex]
Taking common and keeping remaining in bracket
[tex] \sf (x-6)(3x-5) [/tex]
Therefore, the quadratic of [tex] \sf 3x^2 - 23x +30 [/tex] can be factored as (3x - 5)(x - 6).
1) alice decides to take a trip from the east coast of the united states to the west coast. while planning, she chooses to drive, fly, and ride a train. her first leg of the trip is traveling by car, from sacramento, california to denver, colorado. along the way, she fills up her tank using regular unleaded gas, costing $4.65 per gallon, and premium gas, $4.95 per gallon. after driving for many hours, alice finally makes it to denver, colorado spending $874.80 in gas. a) let r represent gallons of regular unleaded gas and let p represent gallons of premium gas. create an equation that models the situation.
The equation will be: 4.65r + 4.95p = 874.80
The total cost of gas will be sum of the individual costs of both the types of gas. Firstly, calculating cost of regular and premium gas followed by forming the equation.
The total cost of regular gas = Amount of regular gas × Cost of regular gas per gallon
The total cost of regular gas = 4.65 × r
The total cost of premium gas = Amount of premium gas × Cost of premium gas per gallon
The total cost of regular gas = 4.95 × p
We are given overall spending = 874.80
Forming the equation -
Total cost of regular gas + total cost of premium gas = overall spending on gas
4.65r + 4.95p = 874.80
Hence, the equation that models the situation is 4.65r + 4.95p = 874.80.
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Serenity buys milk and potatoes at the store.
She pays a total of $31.69.
She pays a total of $4.09 for the milk.
• She buys 4 bags of potatoes that each cost the same amount.
.
●
Write and solve an equation which can be used to determine x, how much
of potatoes costs.
The equation that can be used to determine the cost of a bag of potatoes is $31.69 - $4.09 = 4x
The cost of a bag of potatoes is $6.90
Solving an EquationFrom the question, we are to write and solve an equation that could be used to determine x, the cost of a bag of potatoes
From the given information,
Serenity buys milk and potatoes at the store and she pays a total of $31.69
and
She pays a total of $4.09 for the milk
Thus,
The amount she pays for potatoes is $31.69 - $4.09
Also, from the information,
"She buys 4 bags of potatoes that each cost the same amount"
If x represent the cost of a bag of potatoes, then we can write that
$31.69 - $4.09 = 4x
This is the equation that can be used to determine the cost of a bag of potatoes
Now,
Solve the equation for x
$31.69 - $4.09 = 4x
$27.60 = 4x
x = $27.60/4
x = $6.90
Hence, the cost of a bag of potatoes is $6.90
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What is two hundred sixty-five thousandths in standard form?
0.265
2.65
260.005
265
RANDOM ANSWERS WILL BE REPORTED AND DELETED!
Answer: 265.000
Step-by-step explanation:
And amusement park cost $10 for adults and six dollars for children find the total cost for two adults and three children
If amusement park cost is $10 for adults and $6 for children, then the total cost for 2 adults and three children is $38
Given,
The cost for 1 adult = $10
The cost for 2 adults = 2×10= $20
The cost of children = $6
The cost of three children = 3×6 = $18
Then the total cost = 20+18= $38
Hence, If amusement park cost is $10 for adults and $6 for children, then the total cost for 2 adults and three children is $38
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Clayton is buying school supplies for the start of grade 10. He notices that 12 pens as Staples costs
$6.25. Calculate the unit price of 1 pen.