9514 1404 393
Answer:
length: 50 ydwidth: 40 ydStep-by-step explanation:
The perimeter is twice the sum of length and width. Then the sum of length and width is 90 yards. Their product is the area, so we have ...
x(90 -x) = 2000 . . . . where x is length or width
x^2 -90x +2000 = 0 . . . . rearrange to standard form
(x -40)(x -50) = 0 . . . . . . . factor
x = 40 or x = 50
The dimensions of the rectangular plot are 40 yards by 50 yards.
A bottie contains 255 coins.
1/3 of the coins are £1 coins.
110 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the coins contained in the bottle.
Answer:
£152
Step-by-step explanation:
Solution:
Find out how much is 1/3 of 255 coins:
255 x 1/3 = 85
Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.
255 - 85 - 110 = 60
There are 60 20p coins, 85 £1 coins and 110 50p coins.
Find out the total value by calculating them all altogether.
60 x 20p = 1200
85 x 100p which is £1 = 8500
110 x 50p = 5500
I did them separately so that it wouldn't be so confusing.
Convert them into £, then after that add them up.
£12 + £85 + £55 = £152
Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought 4 notebooks and 5 thumb drives for $116. Lisa bought 2 notebooks and 3 thumb drives for $68. Find the cost of each notebook and each thumb drive.
Answer:NOTEBOOK= 4
THUMB DRIVE=20
Step-by-step explanation:
The cost of thumbdrive and notebook purchased are $20 and $4 respectively
Let :
Cost of Notebooks = n
Cost of Thumb drive = t
Troy :
4n + 5t = 116 - - - - (1)Lisa :
2n + 3t = 68 - - - - (2)Solving by elimination :
Multiply (1) by 2 and (2) by 4
8n + 10t = 232 - - - (3)8n + 12t = 272 - - - (4)Subtract (3) and (4)
-2t = - 40t = 40 ÷ 2 = 20From (1)
4n + 5(20) = 1164n + 100 = 1164n = 116 - 1004n = 16n = 16 ÷ 4 = 4Hence, cost of notebook is $4 and cost of thumbdrive is $20
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Find each value given f(x).
1. If f(x) = 2x + 3, then f(5) =
Answer:
f ( 5 ) = 13
Step-by-step explanation:
Step 1:
f ( x ) = 2x + 3 Function
Step 2:
x = 5 Given
Step 3:
f ( 5 ) = 2 ( 5 ) + 3 Input x value
Step 4:
f ( 5 ) = 10 + 3 Multiply
Step 5:
f ( 5 ) = 13 Combine Like Terms
Answer:
f ( 5 ) = 13
Hope This Helps :)
Answer:
f(5) = 13
Step-by-step explanation:
f(x) = 2x + 3
f(x) = 2(5) + 3
f(x) = 13
Which of the following segments is a diameter of o
?
Answer:
BD
Because it is straight line segment that passes through center from one point in circumference to other
22= 18x + 4 please help!!
Answer:
x=1
Step-by-step explanation:
22-18=4 18-18=/
18x1=18
22=18(1)+4
22-18(1)=4
Answer:
22=18x + 4
Step-by-step explanation:
collect like terms 22 and +4
+4 crosses equality sign and turns to -4
you get 22-4=18x
therefore 18x=18
cancel 18 in both sides x = 1
Sophie, Leroy, Jose, and Maddie all work for the same IT company. Match each employee with their type of earned income.
a. Sophie is an independent contractor.
b. Leroy is a salaried employee.
c. Jose works on commission.
d. Maddie is an hourly employee.
1. This employee is paid a specific amount for each hour that they work.
2. This employee does not have payroll taxes withheld from their paycheck.
3. This employee is paid a percentage of all revenue that they generate for the company.
4. This employee will often work 50 hours per week but receives the same amount of pay for the weeks that they only work 40 hours.
please answer this question .
Answer:
Remember you have to find the coefficient between age
Step-by-step explanation:
What is the equation of a line that is parallel to 2x + 4y = 16 and passes through (4, -1)?
Answer:
y=-1/2x+1
Step-by-step explanation:
2x+4y=16
4y=-2x+16
y=-1/2x+4
y=mx+b, m=-1/2, x=4, y=-1
-1=(-1/2)(4)+b
-1=-2+b
1=b
y=-1/2x+1
how many sides does a regular polygon have if the measure of an interior angle is 160 degrees? justify ur answer EXPLAIN HOW PLSSS
Step-by-step explanation:
Size of Interior angle = 180° - 360°/n, where n is the number of sides of the regular polygon.
We have 180° - 360°/n = 160°.
=> 360°/n = 20°, n = 18.
Therefore it is a 18-sided regular polygon.
What is the answer for
3days : 18hrs
Answer:
4 : 1
Step-by-step explanation:
(3 days : 18 hours) this is a ratio , where both the units must be same before simplifying.
1 day = 24 hours, 3 days = (3 × 24) hours
3 days = 72 hours
Now both the units are same, so we can easily simplify now.
72 hours : 18 hours
36 : 9 = 12 : 3
= 4 : 1 ( Answer)
The school store sells 4 pencils for $0.50. At this rate, what is the cost in dollars) of 10 pencils?
Answer:
1.25
Step-by-step explanation:
10/4=2.5
2.5*0.5
Answer:
4 pencils = $0.50, divide 0.50 by 4, 1 pencil is $0.125. multiply that by 10, and 10 pencils is $1.25
Step-by-step explanation:
What is the slope of a perpendicular line through -y=-2x+8?
A) -1/2
B) -2
C) 2
D) 1/2
Answer:
c. 2
Step-by-step explanation:
-y=-2x+8
I hope this helps
HURRY THIS IS MY LAST THING FOR THIS ASSIGNMENT. Maria is using a coordinate plane with the axes labeled only with integers. She says that the point (−0.5, 2) cannot be plotted because halves are not numbered on the x-axis. Write a note to Maria about her misunderstanding and explain how to plot the point.
Answer: You can have halves of points, Just because I have 0 units and 1 units doesn't mean that I can't put a point in the middle of the two. You could put a point in the middle of a unit for 0 - 1 it would be 0.5. You would place it in the middle of the unit
Step-by-step explanation:
Points B (-4,4)and D (10, 4) lie on circle G. The line segment connecting the two points is the diameter of the circle.
Which equation represents G?
A) (x-3)^2+(y-24)^2=49
B) (x-10)^2 + (y-4)^2=49
C) (x+3)^2 + (y-4)^2 = 49
D) (x+4)^2 + (y-4)^2 =49
Answer: should be a
Step-by-step explanation:
Answer:
took the NWea test the answer is A A) (x-3)^2+(y-24)^2=49
Step-by-step explanation:
Used math calc to find the answer it gave me 3,4 its not C because if you plug in the math in the calculator it will result in a -3,-4THE CORRECT ANSWER IS A) (x-3)^2+(y-24)^2=49
not C. Hope this helps :)
HELP PLEASE
Determine the length of a chord whose central angle is 65° in a circle with a radius of 9 feet.
Question 5 options:
1)
4.84 feet
2)
9 feet
3)
9.67 feet
4)
8.16 feet
Answer:
3)
9.67 feet
Step-by-step explanation:
The length of the chord is approximately 8.16 feet. The correct option is 4.
What is the length of the chord of the circle?A line segment connecting two points on a circle is referred to as a circle's chord in geometry. The circle's center is traversed by the longest segment that can be drawn between any two points on the circle.
To get the chord's length, we can utilize the formula for a circle's chord length. The equation is:
Length of chord = 2r sin(θ/2)
where r is the circle's radius, is its radian central angle, and sin is the sine function.
First, we need to convert the central angle from degrees to radians:
θ = 65° = (65/180)π = 1.14 radians
Now we can plug in the values:
Length of chord = 2(9 feet) sin(1.14/2) ≈ 8.16 feet
Therefore, the length of the chord is approximately 8.16 feet.
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I don’t know this someone help
Answer:
yes what that guy said is right
What percentage of the shape is purple?
Write your answer using a percent sign (%).
(Please help!) almost done 3
Okay, we see that there are 10 pieces in the circle - thus, it is our denominator. Next, we see that 9 out of them are coloured in. Therefore, the fraction is 9/10. To express our answer as a percent, we need to divide 9 and 10 to get 0.9. Then, we multiply 0.9 by 100 to get 90%. As a result, your answer is 90%.
The percentage of the shape that is purple is approximately 90%.
To find the percentage of the shape that is purple, we need to calculate the proportion of purple pieces out of the total number of pieces and express it as a percentage.
Given that there are 10 pieces in total and 9 of them are colored in, we can calculate the percentage as follows:
Percentage of purple pieces = (Number of purple pieces / Total number of pieces) × 100
Percentage of purple pieces = (9 / 10) × 100
Percentage of purple pieces = 0.9 × 100
Percentage of purple pieces = 90%
Therefore, the percentage of the shape that is purple is approximately 90%.
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Five years ago, Mark was twice as old as Max. In three years, Max's age will be 2/3 that of Mark. What is the sum of their ages now
Answer:
4years
Step-by-step explanation:
Let the present age of Mark be x
Let the present age of Max be y
Five years ago
Mark = x-5
Max = y - 5
If mark was twice as old as Max, then;
x - 5 = 2(y-5)
x-5 = 2y - 10
x-2y = -10+5
x - 2y = -5 ... 1
In three years,
mark = x+3
Max = y+3
Now if Max's age will be 2/3 that of Mark, then;
x+3 = 2/3(y+3)
3(x+3) = 2(y+3)
3x + 9 = 2y+6
3x-2y = -3 .... 2
Solve 1 and 2 simultaneously
x - 2y = -5 ... 1
3x-2y = -3 .... 2
From 1: x = -5 + 2y
Substitute into 2:
3(-5+2y) - 2y = -3
-15 + 6y - 2y = -3
-15 + 4y = -3
4y = -3 + 15
4y = 12
y = 3
Recall thet x = -5+2y
x = -5+2(3)
x = -5 + 6
x = 1
The sum of their ages will be x+y
x+y = 1+3
x+y = 4
Hence the sum of their ages now is 4years
Percent is always out of _________ ?
Answer:
Percent is always out of 100
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
MY DAD JUST GOT IN A CAR WREAK WHAT DO I DOOOOOOO!!!
Answer:
ask can you drive it?
Step-by-step explanation:
7x + 10 = 6X + 4(-3+3X)
Step-by-step explanation:
7x+10=6x+4(-3+3x)
7x+10=6x-12+12x
7x-6x-12x=-12-10
-11x=-22
x=-22/-11
x=2
..sorry if the answer is wrong
eden purchased a home for $156,200. The home appreciates about 4.5% each year. what is the value of the home after 17 years?
Answer:
590,088
Step-by-step explanation:
So you divide 156,200 by 4.5 then once you have that times it bye the 17 years I think
Write the equation of the line that passes through the point 2,-1 and has a slope of -3
Answer:
-3
Step-by-step explanation:
-3 is your answer
pls help !! - Using the graph below, what is the rule for a translation form point A to point D?
Answer:
B
Step-by-step explanation: i took the test on docs/forms
a pool is draining at a rate of 5 gallons per minute. if there are 120 gallons in the pool how long will it take to empty the pool?
Answer:
24 minutes
Step-by-step explanation:
You must divide the total gallons by the rate of how many are draining.
This will give you the answer 24.
Answer:
24 minutes
Step-by-step explanation:
5 times 24=120
so since every 5 gallons it takes a minute it would be 24 min
What is the poH of a
8.4 x 10-11 M OH solution?
Answer:
p O H = 10.08
Step-by-step explanation:
Answer:
10.08
Step-by-step explanation:
Acellus sucks
I'm back.... Can someone please help me with these two problems?
Answer:
It is b and a
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
y>−7/3+2x/3
Answer: b and a is ur answer
Step-by-step explanation:
Write 0.0000055 in scientific notation
Answer:
(b) 5.5 × 10^-6
Step-by-step explanation:
hope if helps
how many 1/3's are in 3
Answer:
9
Step-by-step explanation:
1/3 times9=3
A bouncy ball is dropped such that the height of its first bounce is 6.25 feet and each
successive bounce is 80% of the previous bounce's height. What would be the height
of the 11th bounce of the ball?
Answer:
0.67 feet
Step-by-step explanation:
This question can be interpreted as find the 11th term of a geometry progression where a = 6.25 and r = 80%
So, we have:
[tex]T_n = ar^{n-1}[/tex]
In this case:
[tex]r - 80\% = 0.8[/tex]
[tex]n = 11[/tex]
So, we have:
[tex]T_{11} = 6.25 * 0.8^{11-1}[/tex]
[tex]T_{11} = 6.25 * 0.8^{10}[/tex]
[tex]T_{11} = 6.25 * 0.1073741824[/tex]
[tex]T_{11} = 0.67ft[/tex]
Hence, the height of rebound at the 11th time is approximately 0.67
Answer: 0.7
Step-by-step explanation: