Answer:
a = 22b = 17Step-by-step explanation:
Givens
Let a = the first number
Let b = the second number
Equations
a + b = 39
b = 1/2 * a + 6
Put the second equation into the first one
a + 1/2 * a + 6 = 39 Simplify the left.
(3/2)a + 6 = 39 Subtract 6 from both sides
(3/2)a + 6 - 6 = 39 - 6 Combine
(3/2)a = 33 Multiply both sides by 2
3a = 33*2
3a = 66 Divide both sides by 3
3a/3 = 66/3
a = 22
b = 1/2 a + 6
a = 22
b = 1/2 * 22 + 6
b = 11 + 6
b = 17
Check
22 + 17 = 39
Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.
How many feet of electrical cord did he use altogether?
Answer:
7 feet
Step-by-step explanation:
60 inches is 5 feet add the 2 feet
How many liters are in 950mL
Answer:
0.950 L
Step-by-step explanation:
ml/1000 = L
basic set of drawing pencils costs $8.98. A professional set of drawing pencils costs $27.49. How much more does the professional set cost than the basic set?
ASAP
$18.51
Step-by-step explanation:
assuming you dont need the cost per pencil or anything...
pro set: $27.49
basic set: $8.98
subtract basic from pro.
27.49-8.98= $18.51
Answer:
I know this is a little late but your answer is 18.51
Solve the System of equations x = -2 ; y = 3 .(Choose from a,b, or c. Show your work step by step).
a) x+y=1
2x+y=5
b) x+2y = 4
x +y = 1
c) x-y=-5
x+y= 11
Pls show your work as I want to understand how to solve this type of equation.
Answer:
B is a the answers for the question
please mark me as brainlest
There are 24 crayons in a box. How many boxes will be needed for 15 children if each child gets 12 crayons
Answer:
7.5
Step-by-step explanation:
15×12=180
180÷24(crayons per box)=7.5 boxes
Hi
Can u please help
i will pick the best one
The points go from 0 to 6 or -6. Please help asap
Answer:
either one
Step-by-step explanation:
it is going through the origin, so it is going forever in each direction
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and gertrude makes monthly payments, how much interest will she pay by the time the loan is repaid? round all dollar values to the nearest cent. a. $4,462.40 b. $1,213.28 c. $1,713.69 d. $2,094.80
The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
[tex]A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\[/tex]
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.
Put the values in the above formula as,
[tex]5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29[/tex]
In the 10 years, the refund she gets,
[tex]A_r=63.29\times12\times100\\A_r=7594.8[/tex]
Interest paid by her is,
[tex]I=7594.8-5500\\I=2094.8[/tex]
Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.
Learn more about the compound interest here;
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Answer: D
Step-by-step explanation:
Camden invested $1400 in an account that pays 4.5% interest compounded annually Assuming no deposits or withdrawals are made, find how much money Camden would have in the account 12 years after his initial investment. Round to the nearest tenth ( if necessary)
The amount of money Camden would have in his account after 12 years is equal to $2,374.3.
How to calculate compound interest.To calculate how much money Camden would have in his account after 12 years, we would use the formula for compound interest.
Mathematically, compound interest is given by this formula:
[tex]A=P(1+r)^t[/tex]
Where:
A is the balance.P is the principal or starting amount.R is the interest rate.T is the time measured in years.Given the following data:
Principal = $1400.
Interest rate = 4.5% = 0.045.
Time = 12 year.
Substituting the given parameters into the formula, we have;
[tex]A=1400(1+0.045)^{12}\\\\A=1400(1.6959)[/tex]
A = $2,374.3.
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Describe the transformation to the parent to the parent function
y = -2|x+3|-1
Transformation:
Using translation concepts, it is found that the parent function was reflected over the x-axis, vertically stretched by a factor of 2, shifted left 3 units and down 1 unit.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:
y = |x|
The translations are as follows:
It was multiplied by -2, hence it was vertically stretched by a factor of 2, and since it was multiplied by a negative number, reflected over the x-axis.x -> x + 3, hence it was shifted 3 units right.One was subtracted from the function, hence it was shifted one unit down.More can be learned about translation concepts at https://brainly.com/question/4521517
. A sample of bacteria cells in a petri dish increases by 50% every hour. A scientist
starts with a sample of 30 bacteria cells. Write an equation that can be used to
determine the number of cells after x hours.
2. how many bacteria cells will be present in the dish after 3 hours?
3.how many bacteria cells will be present after 12 hours?
Answer:
you first divide fifty out of one hundred then we multiply it by thirty
I need help desperately lol
Answer:
Step-by-step explanation:
First find the shaded area. Ignore the fact that something is missing.
L = 16
w = 8
Area = L*w Substitute the givens
Area = 16*8
Area = 128
Now consider the white area. It has a "length" of 4 and a width of 8
L = 4
w = 8
Area = 32
Now subtract 32 from 128
Area of shaded part = 128 - 32
Answer: 96 mm^2
Find the length of the third side. If necessary, round to the nearest tenth. 10 24
Answer:
26 units
Step-by-step explanation:
Pythagoras' Theorem: [tex]\sf a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given
a = 10b = 24Substitute the given values into the formula and solve for c:
[tex]\sf \implies 10^2+24^2=c^2[/tex]
[tex]\sf \implies c^2=676[/tex]
[tex]\sf \implies c=\pm\sqrt{676}[/tex]
[tex]\sf \implies c=\pm26[/tex]
Since length is positive, c = 26 only
Answer:
26 units
Step-by-step explanation:
To find the missing side length, we need to use Pythagoras theorem, as this triangle is a right triangle.
Formula: h² = x² + y² [h = hypotenuse, x and y = legs]
Legs: 10 units and 24 units (Stated in comments)
Finding the third side of the triangle (h):
⇒ h² = 10² + 24²
Simplify the LHS:
⇒ h² = 100 + 576
⇒ h² = 676
Take a square root both sides:
⇒ √h² = √676
⇒ h = ±26
⇒ h = 26 (Side lengths can never be negative)
Thus, the length of the third side is 26 units.
Find the distance between the points 4,7 and -5,7
Answer:
9
Step-by-step explanation:
Horizontal line from 4 to -5.
Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
[tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]
Thus let us plug in all the know values and solve:
[tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]
Thus the distance is 9
Hope that helps!
Please do number 10. Thanks.
Answer:
379.94
Step-by-step explanation:
area of a circle is pi*radius squared. Radius is 11. 11*11=121. Now all you have to do is multiply 3.14*121. 3.14*121=379.94
The equation for the area of the circle ⇒ [tex]\pi r^2[/tex]
r: length of the radius --> 11cm[tex]\pi[/tex] --> 3.14Now lets plug in all the known values in the equation:
[tex]\pi r^2=3.14 * 11^2 = 3.14 * 121 = 379.94[/tex]
Thus it wants the answer rounded to the nearest whole number, so
Answer: 380 square centimeters
Hope that helps!
At Frome International train station, 35% of trains were late in a week.
In that week there were 440 trains.
Calculate how many trains were on time.
Answer: Two rational numbers between 1/3 and 1/5 are 4/15 and 7/39.
Step-by-step explanation:
A sculpture in the shape of a triangular pyramid has a height of 10 feet. The area of the base of the sculpture is 12 square feet. What is the volume of the sculpture in cubic feet?
The volume of the sculpture with triangular pyramid shape is 40 feet³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a pyramid is given as:
Volume = (1/3) * base area * height.
For pyramid with base of 12 feet² and height 10 feet, hence:
Volume = (1/3) * 12 * 10 = 40 feet³
The volume of the sculpture with triangular pyramid shape is 40 feet³
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Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses? a. 1,337,132 won b. 1,026,184 won c. 855,764 won d. 830,456 won.
An equation is formed of two equal expressions. The amount that is left with Ian to spend is 855,764 won.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The total expenses that Ian has to do are the cost of an extended travel pass, cost of plane tickets, cost of food, and cost of his hotel room. Therefore, the total cost can be written as,
Total Cost = Cost of an extended travel pass + Cost of plane tickets + Cost of food + Cost of his hotel room
Total Cost = 85,210 won + 725,726 won + 203,396 won + 322,800 won
= 1,337,132 won
The budget for the entire trip of Ian is 2,192,896 won, while his total expenditure is 1,337,132 won, therefore, the amount that will be left for spending by Ian can be written as,
Amount left for Spending = Total Budget - Total Cost
= 2,192,896 won - 1,337,132 won
= 855,764 won
Thus, the amount left with Ian to spend is 855,764 won.
Learn more about Equation:
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Answer:
Ian is preparing for his trip to South Korea. He has a total budget of 2,192,896 won for his entire trip. If he calculates that he will need 85,210 won for an extended travel pass, 725,726 won for his plane tickets, 203,396 won for food, and 322,800 won for his hostel room, how much does he have left for spending money and miscellaneous expenses?
a. 1,337,132 won
b. 1,026,184 won
c. 855,764 won<<<CORRECT
d. 830,456 won
Step-by-step explanation:
2022 EDGE TOPIC TEST
The perimeter of a rectangle is 12 meters. Find the maximum area of such a rectangle. You must support your answer with calculus; an answer without support will receive no credit
Answer:
9
Step-by-step explanation:
12 divided by 4 is 3
3 multiplied by 3 is 3
The maximum area of the rectangle that has a perimeter of 12 meters would be equal to 6x - x^2.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
Let x be the length of the rectangle and y be the width of the rectangle
The perimeter of a rectangle = 2( l + b)
12 = 2(x + y)
(x +y) = 6
y = 6- x
The area of the rectangle = length × Width
= x × y
= x ( 6- x)
= 6x - x^2
Learn more about the area;
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-4x - 8 = -(5x + 3) pleasee
hopefully it's correct!!
Answer:
x = 5
Step-by-step explanation:
-(5x + 3) --> -5x - 3
-4x - 8 = -5x - 3
-4x - 8 + 8 = -5x - 3 + 8 (add 8 to both sides)
-4x = -5x + 5
-4x + 5x = -5x + 5 + 5x (add 5 to both sides)
x = 5
The radius of a cylindrical construction pipe is 2 ft. If the pipe is 24 ft long, what is its volume?
Use the value 3.14 for I, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
2 ft
24 ft
Answer:
96π ft³ or 301.44 ft³
Step-by-step explanation:
Volume = Base Area x Height
V = (πr²)(h)
V = (π)(2²)(24)
V= 96π ft³
2x = 37 find solve of x
Answer:
18.5
Step-by-step explanation:
37 divided by 2 is 18.5
Write the equation in spherical coordinates. (a) x2 y2 z2 = 64
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
How to rewrite the equation in spherical coordinates?The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
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The equation in spherical coordinates is r(φ, θ) = 8 units.
What are the spherical coordinates?Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.
The equation of the spherical coordinates is written as;
[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]
Where R is the sphere of radius.
The given equation of the spherical coordinates is;
[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]
Here 8 is the sphere of radius.
Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.
Learn more about spheres here;
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will give brainliest!!
Evaluate [(40 + 5) – 321 = 9.2
- 9.3
- 8.6
- 8
- 2
Answer:
The answer should be 9.2
Step-by-step explanation:
Im lowkey kinda lost in this one ngl
How do I do this? Someone please help
The volume is [tex]135cm^3[/tex]
Find the perimeter of the window to the nearest tenth.
A semi-circular windowpane with radius labeled 20 centimeters
Answer:
102.8 cm
Step-by-step explanation:
The perimeter of a semicircle is the sum of the length of the diameter and the length of the curved edge. The curved edge is half the circumference of a circle with the same radius.
perimeter = diameter + curved edge
= 2r +1/2(2πr) = r(2 +π)
= (20 cm)(2 +π) ≈ 102.8 cm
The perimeter of the window is about 102.8 cm.
Find the measure of Zv.
V
D
48°
87°
E
Answer:
45°
Step-by-step explanation:
A triangle in total is 180 degrees, add the 48 and 87 to get 135, subtract that from the total 180 to get your answer, 45 degrees.
Hope this helps!
Answer:
45
Step-by-step explanation:
♤interior angles of a triangle add up to 180♤
let angle V= x
48+87+ x= 180
135+x=180
x=180-135
=45
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
The table has been created just we need the formula to utilise
The formula is given by
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{\sum f(x-\overline{x})^2}{n}}[/tex]
Find f(x-x^-)²It's
313.29+806.45+474.32+72.9+58.19+532.9+605.16+0+497.293360.5Now
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{\dfrac{3360.5}{50}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=\sqrt{67.21}[/tex]
[tex]\\ \rm\Rrightarrow \sigma=8.2[/tex]
I really need help to understand this problem for my end of course exam!!!!
Answer:
D. [tex]13(2.81)^n[/tex]
Step-by-step explanation:
[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]
Hope this helps!
Please help!
A: 128°
B: 92°
C: 36°
D: 52°
sum of triangle angles = 180
so
? = 180 - 36 - 92 = 52° => D