Jane is 2x+3 years old. (answer)
In this case, we can use Kay as the base/foundation in this problem. Kay is x years old. Mary is twice as old as Kay, making Mary 2 times x or 2x. We are solving for Jane. Jane is 3 years older than Mary, who we know is 2x. We can add on 3 years making the final expression for Jane's age: 2x+3. Since we do not know Kay's age, or x, we cannot solve this problem any further.
11 ft
7 ft 8 ft
20 ft What is the area of the shape?
Answer:
Area = 192.5 ft.²
Step-by-step explanation:
By splitting the shape in 2, we can find the area much simpler.
Starting with the parallelogram (on the left), the area formula is A = b × h.
b (base) = 11 ft.
h (height) = 7 ft.
A (area) = (11 ft.)(7 ft.)
A = 77 ft.² (save this for later)
Then, the trapezoid's (on the right) area formula is A = [(a + b) ÷ 2] × h.
a (first base) = 8 ft.
b (second base) = (20 - 7) = 13 ft.
h (height) = 11 ft.
A = [(8 ft. + 13 ft.) ÷ 2] × 11 ft.
A = [(21 ft.) ÷ 2] × 11 ft.
A = (10.5 ft.) × 11 ft.
A = 115.5 ft.²
Now, bringing back the first area, we can add them together to find the total:
A = 77 ft.² + 115.5 ft.²
A = 192.5 ft.²
Hope this helps! I'd appreciate Brainliest but if not it's totally fine!
A homesteaded A homesteaded property is located in Jupiter, Florida, in Palm Beach County. The property has been assessed at $185,000. The city tax rate is 8.8 mills, the county tax rate is 9.3 mills, and the school board levy is 6.5 mills. The owner is a widow and has qualified for and received homestead tax exemption. How much will the owner pay in property taxes?property is located in Jupiter, Florida, in Palm Beach County. The property has been assessed at $185,000. The city tax rate is 8.8 mills, the county tax rate is 9.3 mills, and the school board levy is 6.5 mills. The owner is a widow and has qualified for and received homestead tax exemption. How much will the owner pay in property taxes
Based on the fact that the widow got an exemption on homestead tax, the amount that the owner would pay in property taxes is $3,471.20.
What is the property tax?The widow received a homestead tax exemption of $25,000 on the property.
The amount to be paid in property tax is:
= (8.8 + 9.3 + 6.5) / 1,000 x (185,000 - 25,000)
= 21.7/1,000 x 160,000
= $3,471.20
In conclusion, the property tax to be paid is $3,471.20.
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PLS HELP!!!
Solve.
2x-y+2z=-6
-3y+z=-2
2x-3z+4
The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
How to solve the system of equations?The system of equations is given as
2x - y + 2z = -6
-3y + z = -2
2x - 3z = -4
Subtract 2x - 3z = -4 from 2x - y + 2z = -6
This is represented as
(2x - y + 2z = -6) - (2x - 3z = -4)
This gives
- y + 5z = -2
Multiply - y + 5z = -2 by 3
-3y + 15z = -6
Subtract -3y + 15z = -6 from -3y + z = -2
This is represented as
(-3y + z = -2) - (-3y + 15z = -6)
This gives
-14z = 4
Divide by -14
z = -2/7
Substitute z = -2/7 in - y + 5z = -2
- y - 5 * 2/7 = -2
This gives
- y - 10/7 = -2
Rewrite as:
y = 2 - 10/7
Evaluate
y = 4/7
Substitute z = -2/7 in 2x - 3z = -4
2x - 3 * 4/7 = -4
This gives
2x - 12/7 = -4
So, we have:
2x = 12/7 - 4
Evaluate
2x = -16/7
Divide by 2
x = -8/7
Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
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MP Attend to Precision Trent writes 10 x 6 = 60 to find
the number of muffins in 10 boxes. Describe what each of
the factors represents in the multiplication equation.
Trent writes 10×6=60, then in multiplication equation 10 represents the number of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the total numbers of muffins.
Given,
Trent writes 10×6=60,
Here,
10 represents the number of muffin boxes
6 represents the numbers of muffins in each box
60 represents the total numbers of muffins
Hence, Trent writes 10×6=60, then in the multiplication equation 10 represents the number of muffin boxes, 6 represents the numbers of muffins in each box and 60 represents the total numbers of muffins.
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If every 4 cm on a scale drawing is equal to 3 yards in rea
scaled-drawing lengths below would be less than 9 yards in real life? Select all that apply. A) 16 cm B) 6 cm C) 8 cm D) 24 cm
The scale drawing which is equal to 9 yards in real time is 12 cm.
Given that 4cm on the scale, drawing is equal to 3 yards in real-time
we have to find the scale drawing which is equal to 9 yards in real-time.
Let the scale drawing be 'x'
Now it can be written as
4 cm ------ 3 yards
x cm ------- 9 yards
Now we can divide this as
4/x = 3/9
By cross multiplication, we get
4 * 9 = 3 * x
x = 4 * 9 / 3
x = 12
Therefore, the scale drawing which is equal to 9 yards in real time is 12 cm.
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Colin is borrowing money from his parents to purchase a $700
computer. He will pay them $35 per month for two years. Determine the
simple interest rate on Colin's loan.
Colin paid the loan at a ten percent annual interest rate.
Simple interest is the form of interest calculation in which the principal amount remains the same for the entire duration for which the loan is taken.
It is also assumed that Colin will repay $35 per month for the next two years.
We must calculate a simple interest rate on Colin's borrowings.
As a result, Colin's total payment to his parents for two years is $35.
We are required to find simple interest rate on Colin's borrowings
Therefore, total amount paid by Colin to his parents= 35$ for 2 years
=35*24=840
The amount paid by Colin is principal + interest
Thus, the simple interest amount= 840-700=140$
We know that the simple interest formula is principal*rate*time/100.
We know that the simple interest is 140, the principal is 700, the time is two years, and we need to find the rate of interest.
SI= P*R*T/100
140= 700*R*2/100
140/7*2=R
R=140/14=10
Therefore, The Rate of interest on which Colin paid the loan is 10 per cent per annum
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Susie divided a 3 pound bag of apples into 2 equal piles. How many pounds of apples are in each pile?
Answer:
1.5 pounds
Step-by-step explanation:
3/2 = 1.5
Given h(x) = -3x +5. Find the indicated values. h (10)
Answer:
h(10) = -25
Step-by-step explanation:
h(x) = -3x + 5
h(10) = -3(10) + 5
= -30 + 5
= -25
I hope this helps!
X - y = 5 and x + y = -10
The value of x and y by using the given expressions is x = -5/2 and y = -15/2.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied to it. The operation can be addition, subtraction, multiplication and division.
Simplifying the expressions for x and y
The given expressions are:
x - y = 5 —--- 1
x + y = -10 —---- 2
Adding the expression 1 and 2, we get,
2x = -5
x = -5/2
Subtracting the expression 1 and 2, we get,
-2y = 15
y = -15/2
Hence, the value of x and y by using the given expressions is x = -5/2 and y = -15/2.
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Which is the graph of the cube root function f(x) = ^3√x
Use the information below to answer all parts of the question.
Kylle is going to play laser tag with some friends. To rent the laser tag gear, the initial fee is $3, and each game costs $2 to play.
PART A
Fill in the table for the amount of money (cost) to play laser tag.
Number
of Games
Cost
In linear equation , $8 the amount of money (cost) to play laser tag.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable.It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value.One such linear equation in one variable is 9x + 78 = 18.let x = number of games, let y = cost of tag
then Total cost = x•$3 + y
In this case, TC = 3•$2 + $2
TC = $8
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The formula below relates distance, rate, and time. Solve this formula for t.
The equation when solved for t gives d/r
What is subject of formula?Subject of formula can be defined as a variable or element expressed in terms of other variables in an equation.
Iris also known as the variable that is being worked out in equation.
From the information given, we have the equation as;
d = rt
Where;
d is the distancer is the ratet is the timeNow, let's make 't' the subject
Divide both sides by the coefficient of t
d/r = rt/r
t = d/r
Thus, the equation when solved for t gives d/r
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The complete question:
The formula below relates distance, rate, and time. Solve this formula for t.
d = rt
Question 1 (5 points)
Saved
Which description is best for this set of ordered pairs: (1,4) (2,5) (3,6) ?
A) only a relation
B) only a function
C) relation and function
D) a relation but not a function
Since the pairs of y values have singular and unique x values, the following set of points are a function.
Since an increase in one unit in the x value, yields an increase in one unit in the the y value, there exists a relation between these set of points.
[tex]y (x)= x + 3 \\ D_{f} ∈ [1,3][/tex]
Option: C
Michael grabs a marble from a bag. There are 5 green marbles and 1 red marble. If he grabs the red marble he loses everything he bet on. The marbles are not put back into the bag. The max amount of times Michael can bet on the same game is 4. If he bets 300 and wins 578 (having 278 as winnings), he has the choice to bet again with everything he earned for 682. Then he has the choice to do so again for 945, then 1312 at max. At what point in the game should Michael stop playing to gain the most given the percent of risk of losing the game? What point in the game is the least beneficial for Michael's gains?
First bet (300 -> 578)
Second bet (578 -> 682)
Third bet (682 -> 945)
Fourth bet (945 -> 1312)
If Michael wins every round he would go from 300 to 1312. If he loses, he doesn't gain any of the rewards and is 300 in debt.
Using the expected value of a discrete distribution, it is found that:
Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.What is the mean of a discrete distribution?The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.
For the probabilities, we consider that it is given by the number of desired outcomes divided by the number of total outcomes.
For one bet, the distribution is given as follows:
P(X = 578) = 5/6 (5 green marbles out of 6).P(X = -300) = 1/6.Hence the expected value is given by:
E(X) = 578 x 5/6 - 300 x 1/6 = $431.67.
For two bets, the distribution is given as follows:
P(X = 682) = 5/6 x 4/5 = 2/3.P(X = -300) = 1/3.Hence the expected value is given by:
E(X) = 682 x 2/3 - 300 x 1/3 = $354.67.
For three bets, the distribution is given as follows:
P(X = 945) = 5/6 x 4/5 x 3/4 = 1/2.P(X = -300) = 1/2.Hence the expected value is given by:
E(X) = 945 x 1/2 - 300 x 1/2 = $322.5.
For four bets, the distribution is given as follows:
P(X = 1312) = 5/6 x 4/5 x 3/4 x 2/3 = 1/3.P(X = -300) = 2/3.Hence the expected value is given by:
E(X) = 1312 x 1/3 - 300 x 2/3 = $237.33.
Hence, considering the greatest and the smallest expected values, we have that:
Michael should stop playing the game after the first round.The fourth round is the least beneficial round for Michael.More can be learned about the expected value of a discrete distribution at https://brainly.com/question/27899440
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Solve the inequality and express your answer in interval notation. x² + 8x + 3 < 0
Solution:
A.) [tex](-4-\sqrt{13},-4+\sqrt{13})[/tex]
Hope this helps!
FACT or FIB?
-3-4-(-12)
-19
What is: -28/-4 + -48/6
Answer: The answer is -1
Step-by-step explanation:
-28/-4+-48/6
7-8
-1
Answer: -1
Step-by-step explanation:
-28 divided by -4 is 7
-48 divided by 6 is -8
7 - 8 would be a total of -1
EXERCISE 5.3
1. Find the values of the letters:
(a) 2 B C
(b)
+C 7 A
6 AB
ABC 3
5 D
BD 9 C
8 AA 50
87 BD C
X
(c)
A 2 BC
1 D 6
2 CA 10
BBDD 00
A 2 B C 0 0
7 D 7 7 10
X
2. Write five 2-digit numbers the product of whose digits is even.
3. Write three 4-digit even numbers divisible by 9.
4. Write four 5-digit numbers divisible by 3.
5. Write a 3-digit number divisible by 3 whose digits are consecutively
decreasing.
Answer:
a
Step-bye-step explanation:
that's the correct answer
4+ -1 -5= -2
Please help me know how did I Got this answer the working thank you
Answer:
4 + -1 = 3, 3 - 5 = -2.
Step-by-step explanation:
Hope this helps!!
use 22/7 to calculate the pelmeter of the rectangle 3cm 5cm
The Perimeter of rectangle 3cm 5cm is 16 cm.
What is rectangle ?In geometry, a rectangle is a plane figure of four sides having four angles of 90 degree. A rectangle has different length and breadth.
Some important formulas for rectangle :
Area of rectangle = Length × BreadthPerimeter of rectangle =2 * ( length + breadth ) Diagonal of rectangle = √(length^2 + breadth^2)What is perimeter of rectangle?Perimeter is define as the distance around all the edges of a shape. In case of rectangle perimeter is the distance of all 4 edges i.e. 2 lengths and 2 breadth .
Thus , perimeter of rectangle = ( 2 × length ) + (2 × breadth)
= 2 ( length + breadth )
In the given question,
length of rectangle = 3cm
breadth of rectangle = 5cm
therefore, perimeter of rectangle = 2(3+5) = 16cm
Hence, The Perimeter of rectangle is 16 cm.
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Zaria wants you to solve this puzzle: “I am thinking of a number. If you divide my number by 2 and subtract 4, you will get 2. What is my number?” Show how you know your answer is correct.
Answer:
Let
x--------> the number
we know that
solve for x
Adds both sides
Multiply by both sides
therefore
the answer is
the number is 12
Step-by-step explanation:
Vectors u and v are shown on the graph.
Which of the following vectors represents v – u?
Answer:
see attached
Step-by-step explanation:
The vector difference u -v can be represented on a vector diagram by the sum u +(-v), where -v is a vector the same length as v, but in the opposite direction.
__
Which rule describes the translation ABCD → A′B′C′D′?
Answer:
translation
all the points are in the same orientation, and all the lengths are the same.
all that has changed are the coordinates.
Which of the following is equivalent to (5y + 3x) + 9x?
15xy + 9y
9x(5y + 3x)
5y + 12x
5y + 27x
Answer:
5y + 12x
Step-by-step explanation:
Let's simplify step-by-step.
5y+3x+9x
Combine Like Terms:
=5y+3x+9x
=(3x+9x)+(5y)
=12x+5y
Answer:
5y + 12x
Step-by-step explanation
Simplify step-by-step.
5y+3x+9x
Combine like terms:
=5y+3x+9x
=(3x+9x)+(5y)
=12x+5y
lisa's plant was 7 3/4 inches tall when she bought it. Three weeks later, it was 4 2/5 times as tall. How tall is lisa's plant after three weeks?
Answer:
[tex]\frac{341}{10} =34\frac{1}{10}[/tex]
Step-by-step explanation:
[tex]7\frac{3}{4} *4\frac{2}{5}[/tex]
→ Convert both fractions into improper
[tex]\frac{31}{4} *\frac{22}{5}[/tex]
→ Simplify
[tex]\frac{31}{2} *\frac{11}{5}[/tex]
→ Calculate
[tex]\frac{341}{10} =34\frac{1}{10}[/tex]
A customer paid a total of $6.00 for 68 copies at a print shop. Some of the copies were black-and-white copies, and the rest were color copies.
• Each black-and-white copy cost $0.08.
• Each color copy cost $0.15.
How many copies of b, the number of black-and-white, and c, the number of color did the customer pay for?
The number of black-and-white is 60 and the number of color copies is 8.
How to calculate the value?Let b = the number of black-and-white.
Let c = the number of color copies.
The equation will be:
b + c = 68
0.08b + 0.15c = 6
Multiply equation I by 0.08
Multiply equation ii by 1.
0.08c + 0.08c = 5.44
0.08b + 0.15c = 6
Subtract
0.07c = 0.56
c = 0.56/0.07
c = 8
Since b + c =68
b= 68 - 8 = 60
Therefore, the number of black-and-white is 60 and the number of color copies is 8.
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Jill swam 200 meters in 2 minutes and 42 seconds. If each lap is 50 meters long which time is her estimated time in seconds per lap
Answer:
36.3 seconds per lap
Step-by-step explanation:
200m in 2.42 if each lap = 50m
50m = 36.3 seconds
A swimming pool measures 30 ft by 25 ft and is 6 feet deep.
a) How much fencing is needed if the fence is to be 7 ft from each side of the
pool?
______________________
b) How much material is needed to make a cover for the pool. (the pool only)
_______________________
c) How many cubic feet of water are needed to fill the pool?
Answer:
Step-by-step explanation:
Use the given conditions to write an equation for the line in point-slope form and general form.
Passing through (3,-2) and perpendicular to the line whose equation is x-8y-3=0
The equation of the line in point-slope form is.
(Type an equation. Use integers or fractions for any numbers in the equation.)
Answer:
Step-by-step explanation:
A box of candy weighs 4 and 7/10 pounds. 2/5 get dumps out of the box. What is the weight of the candy left in the box?
2/5 get dumps out of the box from 4 and 7/10 pounds of candy then weight of the candy left in the box is 2 and [tex]\frac{41}{50}[/tex] pounds.
As given,
Total weight of the candy = 4 and 7/10 pounds = [tex]\frac{47}{10\\}[/tex] pounds
pound is the imperial unit of weight generally written as lb.
one pound = 0.4535 kilograms = 453.5 gm.
[tex]\frac{2}{5}[/tex] th of candy is dumps out of the box.
1- [tex]\frac{2}{5}[/tex] = [tex]\frac{3}{5}[/tex] th of the total candy is left in the box.
weight of the candy left in the box = [tex]\frac{3}{5}[/tex] * [tex]\frac{47}{10}[/tex] = [tex]\frac{141}{50}[/tex] pounds.
now 141= 50*2 + 41
[tex]\frac{141}{50}[/tex] pound = 2 and [tex]\frac{41}{50}[/tex] pounds
Hence, weight of the candy left in the box= 2 and [tex]\frac{41}{50}[/tex] pounds.
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