Answer:
2 yards
Step-by-step explanation:
2 yards equals 6 feet because 2x3=6 or 72 inches because 6x12 equals 72. 1 yard is equal to 3 feet.
I need help with this question
$6,000 dollars is invested in two different accounts earning 3% and 5% interest. at the end of one year, the two accounts earned $220 in interest. how much money was invested at 3%
The amount of money is 4000 was invested at 3%.
Let x be the amount of money invested at 3%.
Then, the amount of money invested at 5% is 6000 - x.
The interest earned on the amount invested at 3% is 0.03x.
The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.
The total interest earned is given as $220.
So, we can write the equation:
0.03x + (300 - 0.05x) = 220
Simplifying and solving for x, we get:
0.03x + 300 - 0.05x = 220
-0.02x + 300 = 220
-0.02x = -80
x = 4000
Therefore, $4000 was invested at 3%.
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calcula la cantidad de energia mecanica total de un automovil que se encuentra subiendo una montaña el cual tiene una masa de una tonelada se localiza a una altura de 500 m y lleva una rapidez de 50km/h
The answer to the given energy is 5096327.2 J
How to determine the value?Remember that Joule is a derived unit of energy which is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter
m = 1 tonelada = 1000 kg
h = 500 m
v = 50 km / hr = 13.88 m / s
9 = 10 m / s²
Ep = ?
Ec = ?
The given formula Formula
Ep = m g h = 1000 kg X 10 m / s² X 500 m = 5000000 Joule
Ec = m V² / 2 = 1000 kg X (13.88 m / s)² / 2 = 96327.2 Joule
Et = Ep + Ec = 5000000 J + 96327.2 J = 5096327.2 J
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The triangles shown are similar. Use the image to answer the question. a triangle DEF with side DF labeled 13 and a second overlapping triangle GEH with side GH labeled 4 and EH labeled 8
Determine the length of side FE.
18
20
21 2
6
The length of the side EF = 22.5 Units
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°.
The sum of the length of the two sides of a triangle is greater than the length of the third side.
In the same way, the difference between the two sides of a triangle is less than the length of the third side.
From the property of the similar triangle,
The ratio of the sides is always equal
So,
DE/EF = GH/EH
12/EF = 8/15
Cross multiply to get
(12*15)/8 = EF
180/ = 22.5
EF= 22.5 units
Therefore, the length of the EF is 22.5 Units.
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If m∡STU = (5x - 16) degrees and mSU⌢ = (12x - 50) degrees, find m∡STU
.
m∡STU= _____ degrees
(41 POINTs will give BRAINIEST FOR EFFORT)
Applying the inscribed angle theorem, the measure of angle STU in the circle is: 29°.
What is the Inscribed Angle Theorem?When an inscribed angle intercepts an arc in a circle, the measure of the inscribed angle is always half of the measure of the arc it intercepts, based on the inscribed angle theorem.
Angle STU is an inscribed angle that intercepts arc SU in the given circle, therefore:
(5x - 16) = 1/2(12x - 50)
Solve for x:
2(5x - 16) = 12x - 50
10x - 32 = 12x - 50
10x - 12x = 32 - 50
-2x = -18
x = 9
m∡STU = (5x - 16) = 5(9) - 16
m∡STU = 29°
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please help!! use the job salaries to caculate each question :)
The profession that would earn that amount more than a bank teller is Office Clerk.
The profession that would earn $1,151,700 in 30 years is Bookkeeper.
The profession that will earn $828,600 over a 20-year career is Truck Driver.
The profession that earns $136,200 more than a fire fighter over a period of 30 years is Electrician
How to find the careers ?The 15 year difference between bank teller and office clerk is:
= ( 30, 850 x 15 ) - ( 27, 260 x 15 )
= $ 53, 850
The earnings of a Bookkeeper in 30 years is:
= 38, 390 x 30
= $ 1, 151, 700
The earnings of a Truck driver in 20 years is :
= 41, 430 x 20
= $ 828, 600
The difference between earnings of Fire fighter and Electrician over 30 years is:
= ( 52, 570 x 30 ) - ( 48, 030 x 30 )
= $ 136, 200
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A small liberal arts college in the Northeast has 200
freshmen. Eighty of the freshmen are education majors. Suppose fifty freshmen are randomly selected (without replacement).
Step 1 of 2 : Find the expected number of education majors in the sample. Round your answer to two decimal places, if necessary.
The expected number of education majors in the sample is 20.
Probability calculationSince 80 out of 200 freshmen are education majors, the probability of randomly selecting an education major from the population is:
P(edu major) = 80/200 = 0.4
To find the expected number of education majors in a sample of 50 freshmen, we can use the formula for the expected value of a discrete random variable:
E(X) = n x p
Substituting the given values, we get:
E(X) = 50 x 0.4 = 20
Therefore, the expected number of education majors in a sample of 50 freshmen is 20.
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answer with explanation
Answer:
Step-by-step explanation:
To create a magic square with -6,-5,-4,-3,-2,-1,1,2, we need to arrange these numbers in a 3x3 grid such that each row, column, and diagonal add up to the same sum.
Here's one possible solution:
diff
Copy code
-6 1 2
-4 -5 9
8 -3 -2
To check if this is a magic square, we can calculate the sum of each row, column, and diagonal:
Rows:
(-6 + 1 + 2) = -3
(-4 - 5 + 9) = 0
(8 - 3 - 2) = 3
Columns:
(-6 - 4 + 8) = -2
(1 - 5 - 3) = -7
(2 + 9 - 2) = 9
Diagonals:
(-6 - 5 - 2) = -13
(2 - 5 + 8) = 5
All of these sums are equal to 0, so this is indeed a magic square.
9.
At a student conference 12 students were asked to form different committees with the following conditions:
Each committee contains exactly 3 students
Each student must belong to exactly 2 committees
No two committees can have more than one student in common
(for example, student A and student B cannot be together on two different committees).
●
What is the least number of committees that need to be formed to meet all of the conditions? Show your work
and/or explain your thinking.
According to the information, the least number of committees that need to be formed to meet all of the conditions is 8.
How to calculate the least number of committees that need to be formed to meet all of the conditions?To minimize the number of committees, we can try to use each student in as many committees as possible. Since each student must be in exactly 2 committees, and there are 12 students, we need a total of 24 "student committee slots".
Now we need to figure out how to assign the students to committees so that no two committees have more than one student in common. One way to do this is to use a "round-robin" approach:
Assign the first student to committees 1, 2, and 3.
For the next student, assign them to committees 1, 4, and 5.
For the third student, assign them to committees 2, 4, and 6.
Continue in this way, cycling through the remaining students and assigning them to three committees at a time, making sure to avoid any duplicates.
After assigning all 12 students to committees in this way, we will have a total of 8 committees. We can check that each committee contains exactly 3 students, and that no two committees have more than one student in common.
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Find the slope of a line perpendicular to the line whose equation is 6x + 5y = -30.
Fully simplify your answer.
Answer:
[tex]6x + 5y = - 30[/tex]
[tex]5y = - 6x - 30[/tex]
[tex]y = - \frac{6}{5} x - 6[/tex]
Since the slope of this line is -6/5, the slope of a perpendicular line is 5/6. The slopes of perpendicular lines are negative reciprocals.
6 divided 1/2 what’s the expression to multiply by the reciprocal
When 6 is divided by 1/2 the result is 12 because the expression to multiply by the reciprocal is 6 × 2.
What is reciprocal of a numberThe reciprocal of a number is the multiplicative inverse of that number. In other words, if you multiply a number by its reciprocal, the result is always 1.
In division by a fraction, the reciprocal of that fraction is the fraction that you multiply by to obtain the quotient hence for 6 divided by 1/2 the expression becomes;
6 ÷ 1/2 = 6 × 2/1
6 ÷ 1/2 = 12.
Therefore, when 6 is divided by 1/2 the result is 12 because the expression to multiply by the reciprocal is 6 × 2.
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if f(x)=-4x-2 is vertically tranfered up 6 units to g(x), what is the y intercept of g(x)
The y-intercept for the function g(x) is 4.
The y-intercept of a function is a point where the line crosses the y-axis. The linear function can be given as below.
f(x) = mx+n
Where m is the slope of the line and n is a real number and y-intercept of the line.
The given function is f(x)=-4x—2.
The function is vertically translated 6 units up to g(x).
The y-intercept of the function f(x) is -2. Then the y-intercept for the function g(x) can be given as below.
y-intercept g(x) = -2+6
y-intercept g(x) = 4
Hence, the y-intercept for the function g(x) is 4.
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find the measure of TDC
The measure of angle TDC in the triangle is 32 degrees.
How to find the angle of a triangle?The tangent CD forms a right angle with the radius CT of the circle. This forms a right angle triangle.
Therefore, the sum of angles in the triangle is 180 degrees.
Hence,
∠C = 90 degrees
Therefore,
3x + 14 + 8x + 10 + 90 = 180
11x + 114 = 180
11x = 180 - 114
11x = 66
divide both sides by 11
x = 66 / 11
x = 6
Therefore,
∠TDC = 3x + 14 = 3(6) + 14 = 18 + 14 = 32 degrees.
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Which of the following represents the symmetric property of equality?
A) If a = b and b = c, then a = c
B) If a = b, then ac = bc
C) If a = b, then b = a
D) a(b + c) = ab + ac
Answer:
C) a = b ⇒ b = a
Step-by-step explanation:
You want to identify the statement that represents the symmetric property of equality.
A.If a = b and b = c, then a = c. This is the transitive property of equality.
B.If a = b, then ac = bc. This is the multiplication property of equality.
C.If a = b, then b = a. This is the symmetric property of equality.
D.a(b +c) = ab +ac. This is the distributive property of multiplication over addition.
Complete the ratio table.
Answer:
55
70
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
55 and 70
Step-by-step explanation:
5÷2=2.5
20÷8=2.5
45÷18=2.5
so
22×2.5=55
and
28×2.5=70
S
Match the system of equations to the number of solutions it has.
y=5z+7
3y-15z = 18
z-2y=6
3z-6y=18
y-3z +6
--2-4
3-12-1
y-z-2
Infinite Solutions
One Solution
#Infinite Solutions #No Solutions :: One Solution
One Solution
No Solutions
3a. What is the perimeter of this figure?
3b. What is the area of this figure?
The perimeter of the parallelogram is 90 ft while it's area is calculated to be 900 square feet.
How to evaluate for the perimeter and area of the parallelogramThe sum of the boundary length of the parallelogram is it's perimeter so;
perimeter of the parallelogram = 15ft + 15ft + 30ft + 30ft
perimeter of the parallelogram = 90 ft
In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.
height of the parallelogram = 30ft × tan 45°
height of the parallelogram = 30ft {recall tan 45° = 1}
area of the parallelogram = 30ft × 30ft
area of the parallelogram = 900 ft²
Therefore, the perimeter of the parallelogram is 90 ft while it's area is calculated to be 900 square feet.
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Proba
Find the probability that a randomly
selected point within the circle falls in the
red-shaded square.
7
U
7
7
P = [?]
Enter as a decimal rounded to the nearest hundredth.
Enter
The probability that a randomly
selected point within the circle falls in the
red-shaded square is 63.7%.
How to calculate the probabilityA figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius = 7cm
side of square = 7√2 cm
Area of the circle = πr²
= 3.14 * 7²
= 153.86 cm²
Area of the square = side * side
= 7√2 * 7√2
= 98 cm²
= Area of square / Area of the circle
= 98 / 153.86
= 63.7%
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Answer:
63.7
Step-by-step explanation:
I entered that and got it right
-5|x-8|+2=2 pls help me pls
Answer:
x = 8
Step-by-step explanation:
[tex]5|x-8|+2=2 \\ −5∣x−8∣=0 \\ ∣x−8∣=0 \\ x = 8[/tex]
First, you need to cancel out the 2 by subtracting 2 from both sides. Then, we divide both sides by -5. And finally, we remove the absolute value.
Translate A’B’C by the directed line segment from (0,0) to (-3,-2)
By translation, the image of the vertices of the figure A'B'C' are A''(x, y) = (1, - 3), B''(x, y) = (- 2, - 1) and C''(x, y) = (- 3, - 5), respectively.
How to find the image of the figure by rigid transformations
In this problem we must determine the image of the figure A'B'C', whose vertices are A'(x, y) = (4, - 1), B'(x, y) = (1, 1), C'(x, y) = (0, - 3), by translation, whose definition is shown below:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original pointT(x, y) - Translation vector.P'(x, y) - Resulting pointIf we know that T(x, y) = (- 3, - 2), then the image of the vertices of the figure A'B'C' are:
A''(x, y) = (4, - 1) + (- 3, - 2)
A''(x, y) = (1, - 3)
B''(x, y) = (1, 1) + (- 3, - 2)
B''(x, y) = (- 2, - 1)
C''(x, y) = (0, - 3) + (- 3, - 2)
C''(x, y) = (- 3, - 5)
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A bag of marbles has 4 red, 3 blue, 2 green, and 1 yellow marbles. If Aisha reaches into the bag, what is the probability she picks a red marble?
There are a total of 4 + 3 + 2 + 1 = 10 marbles in the bag. The probability of picking a red marble is the number of red marbles divided by the total number of marbles:
Probability of picking a red marble = 4/10 = 2/5
Therefore, the probability Aisha picks a red marble is 2/5 or 0.4 when written as a decimal.
If the are of a triangle is 48ft2 and the hieght of the triangle is 12ft what would the length of the base be
Answer:
8 ft
Step-by-step explanation:
Area of a triangle=1/2*base*height
You know the area of the triangle and the height, so you can set up an expression to solve for the base
48=1/2*base*12
4=1/2*base
base=8ft
Check: A=1/2*8*12, A=48 ft²
The table below represents a linear relationship. What is the Y intercepts? X-3 4 5 6
Y-7 10 13 16
the y intercept of the linear function in the table is
-2How to find the y interceptA linear function is represented using the equation
y = mx + c
the parameters are defined as
y = out put values
m = slope
x = input variable
c = y - intercept
Solving for slope using values in the table
m = (y2 - y1) / (x2 - x1)
m = (10 - 13) / (4 - 5)
m = -3 / -1
m = 3
Using point slope formula
y - y1 = m(x - x1)
y - 13 = 3(x - 5)
y = 3x - 15 + 13
y = 3x - 2
hence the y intercept is -2
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Point: (3, 4)
Slope: -1
In standard form
Answer:
x+y-7=0
Step-by-step explanation:
y=-(x-3)+4
y=-x+3+4
y=-x+7
x+y-7=0
PLEASE HURRY
Let a = apple and c = cherry.
Mathland Bakery sells apple pies for $7.00 and cherry pies for $11.00.
The total number of pies sold in one day was 36. If the amount collected for all the pies that day was $304.00, how many of each type were sold?
Answer:
23 apple pies and 13 cherry pies were sold.
Step-by-step explanation:
Let's use the variables a and c to represent the number of apple and cherry pies sold, respectively.
From the problem, we know that:
The total number of pies sold is 36: a + c = 36
The total revenue from pie sales is $304.00: 7a + 11c = 304
We now have two equations with two unknowns. We can use substitution or elimination to solve for a and c. Here's one way to use substitution:
Solve the first equation for a: a = 36 - c
Substitute a = 36 - c into the second equation: 7(36 - c) + 11c = 304
Simplify: 252 - 7c + 11c = 304
Simplify further: 4c = 52
Solve for c: c = 13
Substitute c = 13 into the first equation to solve for a: a + 13 = 36
Simplify: a = 23
Therefore, 23 apple pies and 13 cherry pies were sold.
5x^2-8x+12=3x+10
solve quadratic by factoring
On solving the "equation" written as "5x² - 8x + 12 = 3x + 10" by using "factoring-method" , the "solutions" are x = 1/5 and x = 2.
To solve "5x² - 8x + 12 = 3x + 10" by using the "factoring-method", it should first be rearranged in "standard-form", where one side of the equation is = 0,
First, we combine the constant terms on the right side of the quadratic:
⇒ 5x² - 8x + 2 = 3x,
⇒ 5x² - 11x + 2 = 0, Now, we factor the quadratic expression on the left side of the equation as :
⇒ 5x² - 10x -x + 2 = 0,
⇒ 5x(x - 2) -1(x - 2) = 0,
⇒ (5x - 1)×(x - 2) = 0
By applying the zero product property, we know that either "5x - 1 = 0" or "x - 2 = 0";
⇒ 5x - 1 = 0 , We get x = 1/5,
⇒ x - 2 = 0, We get x = 2;
Therefore, the solution are x = 2, and x = 1/5.
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The given question is incomplete, the complete question is
Solve the quadratic-equation "5x² - 8x + 12 = 3x + 10" by factoring.
Donovahn made two bracelets for a friend. Each bracelet is made of 36 beads. Bracelet A contains 12 letter beads Bracelet B contains 20 letter beads. Which statement is true?
Based on the conditions, the correct statements are,
⇒ Bracelet B has 8 more letter beads than Bracelet A.
We have to given that;
Donovahn made two bracelets for a friend.
And, Each bracelet is made of 36 beads. Bracelet A contains 12 letter beads Bracelet B contains 20 letter beads.
Hence, We have;
Based on the information provided, we can say that Bracelet B contains more letter beads than Bracelet A.
Specifically, Bracelet B has 8 more letter beads than Bracelet A.
Thus, Based on the conditions, the correct statements are,
⇒ Bracelet B has 8 more letter beads than Bracelet A.
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The coordinates of ΔRGB are R(‒3, 2), G(3, 4) and B(1, 1). Under a series of transformations, the resulting figure ΔUNA has the following coordinates: U(2, ‒3), N(‒4, ‒3) and A(‒1, ‒1).
Which statement is not true?
RB has the same length as UA.
GB is congruent to AN.
The measure of ∠R is the same as ∠N.
The original triangle ΔRGB is congruent to ΔUNA.
The statement that is not true is (c) The measure of ∠R is the same as ∠N.
From the question, we have the following parameters that can be used in our computation:
The coordinates of ΔRGB are R(‒3, 2), G(3, 4) and B(1, 1). The coordinates of ΔUNA are U(2, ‒3), N(‒4, ‒3) and A(‒1, ‒1).Looking at the above coordinates, we can see that the transformation rule is (x, y) = (-x, -y)
This is a rigid transformation
And so, the side lengths and the corresponding angle measures are equal
However, angles R and N are not corresponding angles
So, the false statement is (c) The measure of ∠R is the same as ∠N.
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Complete the ratio table please help will mark the first answer brainliest answer
The proportional relationship is complete as follows:
Input of 57 for an output of 438.Output of 584 for an input of 76.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
The constant for this problem is given as follows:
k = 146/19
k = 7.684.
Hence the equation is:
y = 7.684x.
The input for an output of 438 is given as follows:
7.684x = 438
x = 438/7.684
x = 57.
The output for an input of 76 is obtained as follows:
y = 7.684 x 76
y = 584.
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Solve for the roots in the following equation. Hint: Factor both quadratic expressions.
(x4 + 5x2 - 36)(2x2 + 9x - 5) = 0
The roots of equation are 2 , -2, 3i, 1/5 and -5.
We have,
([tex]x^4[/tex] + 5x² -36)(2x² + 9x-5)=0
Now, factories each equation as
([tex]x^4[/tex] + 5x² -36)
= ([tex]x^4[/tex] + 9x² - 4x² -36)
= x²(x² + 9) - 4(x² + 9)
= (x² - 4)(x² + 9)
= (x-2)(x+2)(x²+9)
and, 2x² + 9x-5
= 2x² + 10x - x -5
= 2x(x+5)- (x+5)
= (2x -1)(x+5)
So, the factored form is (x-2)(x+2)(x²+9) (2x -1)(x+5)
and, the roots of equation are 2 , -2, 3i, 1/5 and -5.
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