Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value of x
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The boy the apartment building is filling a pool 30 ft long 20 feet wide and 5 feet deep it has been filled 4 ft deep how many more cubic feet of water are needed to finish filling the pool
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Amount of water already filled = 30 x 20 x 4 = 2400 ft²
Amount of water needed to full the pool = 3000 - 2400 = 600 ft²
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Answer: 600 ft² of water is needed to fill up the pool.
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Use graph paper to draw the figure. The set of points (2, 3), (9, 3), (9, –2), and (2, –2) identifies the vertices of a quadrilateral. Which is the most specific description to tell which figure the points form?
A) Parallelogram
B) Square
C) Rectangle
D) Trapezoid
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The length of a garden is 5m greater than the width. the area is 66m^2. Find the dimensions of the garden.
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Factor
(w+11)(w-6)=0
w+11=0
w=-11 (not possible - cant have negative length
w-6=0
w=6
L(6)=66
L=11
Width = 6
Length = 11
What's the proper name of the quadrilateral below?
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trapezoids have to have 1 parralel side
rhombuses have to have 2 pairs of parralel sides and so on
Evaluate a) log^3 81 b) log^25 5
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a]
log_3 81
=log_3 (3^4)
=4 log_3 3
=4×1
=4
b]
log_5 25
=log_5 5²
=2log_5 5
=2×1
=2
Money off coupons have been circulated to 300 households. Only 2/5 of these were redeemed (used) in the local supermarket to get a free shampoo. What fraction of coupons were unused?
(PS: Please write how you go the answer)
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1 - 2/5 = 3/5
3/5 of them were not used.
Need the steps to get the answer 0.264 that is on my answer key textbook
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26 2/5% = 26.4% = 26.4/100 = 264/1000 = 0.264
For each of the following determine the 1-unit growth factor.
The 1-unit percent change is -56.25%.
Please help explain so I can figure one out and do the rest on my own. Thanks!
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A 1-unit growth factor with a -56.25% change means the quantity decreases by 43.75% when it decreases by 1 unit, resulting in a factor of 0.4375.
The 1-unit growth factor represents the factor by which a quantity changes when it increases by 1 unit.
A 1-unit percent change of -56.25%. A negative percent change indicates a decrease rather than an increase.
To find the 1-unit growth factor when the percent change is -56.25%,
use the formula:
Growth Factor = Final value / Initial value
let's assume the initial value is "I" and the final value is "F."
The percent change of -56.25% means that the final value is 56.25% less than the initial value, or 43.75% of the initial value remains:
F = I - 0.5625I
= 0.4375I
Now, calculate the growth factor:
Growth Factor
= Final value / Initial value
= F /I
= 0.4375I /I
=0.4375
Therefore, the 1-unit growth factor when the percent change is -56.25% is 0.4375, which indicates a decrease of 43.75% when the quantity decreases by 1 unit.
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The sum of 4 consecutive odd numbers is 40. What is the 2nd number in this sequence?
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1. if to use for consecutive odd numbers: n; n+2; n+4 and n+6), then it is possible to write their sum in equation: n+n+2+n+4+n+6=40.
2. if to solve this equation: n=7 it means that 7 - the 1st number of the given sequence.
Using n=7 the 2d number of this sequence is n+2=9.
answer: 9.
how many students were reading during study time?
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3x+2y=6 and y=-3/2x+5
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If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither.
So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3 The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2
For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.
Since both slopes are -3/2, then you have parallel equations!
(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)
I hope this helps!! Please ask if you have more questions!
A drawbridge in Jacksonville, FL, allows an average of 22 boats per day to pass. What does the point (4,88) on the graph mean in this situation?
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Answer: This shows, 'After 4 days, 88 boats will have passed under the bridge'.
Explanation:
Since, According to the question, Jacksonville allows an average of 22 boats per day to pass.
Thus we can say that number of boats is dependent on days and both are varying.
And, a function is the type of y=f(x), where x is independent variable while y is dependent variable.
So, we can take x for representing number of days and y for representing number of boats.
Thus, according to the question, y= 22x.
if we take 4 days i.e. x=4 then y=22×4=88
⇒It takes 4 days for an average of 88 boats.
Which is showing by (4,88) on the given graph.
What is ∑n=18(3n−1) equal to? The top number is 8 bottom is n=1
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The total value of the sum is 1800.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum.
The given is,
∑n=18(3n−1)
The top number is 8 and the bottom number is 1.
Finding the sum,
Sum = [18(3 - 1)] + [18(6 - 1)] + [18(9 - 1)] + [18(12 - 1)] + [18(15 - 1)] + [18(18 - 1)] + [18(21 - 1)] + [18(24 - 1)]
= 36 + 90 + 144 + 198 + 252 + 306 + 360 + 414
= 1800
Hence the value of the sum is 1800.
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Jake needs to put gas in the delivery van. Regular gasoline is $3.20 per gallon. He only had a $ 20 bill on him. How many gallons can he buy
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Let's also assume that y = 3.20
x is how much money he has and y is how much the cost is.
To find out how much he can buy, we would do x/y, or 20/3.20.
He can buy about 6.25 gallons.
the binomial expansion of (x-2y)^3 is ____.
A. x^3-x^2y+12xy^2-8y^3
B. x^3-3x^2y+3xy^2-y^3
C. x^3-3x^2y+3xy^2+y^3
D. 2^3(x^3-3x^2y+3xy^2-y^3)
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A= x^3−6x^2y+12xy^2−8y^3
On a coordinate plane, the coordinates of vertices R and T for a polygon are R(-6,2) and T(5,2). what is the length of side RT of the polygon?
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:))) day
Answer:
YoOoooo its 7 units
Step-by-step explanation:
how do you write one half the difference of X and 4?
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Greek architects considered a rectangle whose length was approximately 1.6 times its width to be the most visually appealing. find the length and width of a rectangle constructed in this manner if the sum of the length and width is 130ft
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Final answer:
The length and width of the rectangle constructed in this manner are approximately 64ft and 40ft respectively.
Explanation:
To find the length and width of a rectangle constructed in this manner, we can use the given information that the length is approximately 1.6 times the width and the sum of the length and width is 130ft.
Let's say the width is represented by 'w', then the length would be approximately 1.6w.
Based on the given conditions, we can write an equation: w + 1.6w = 130ft. Solving this equation, we get w = 40ft and the length is approximately 64ft.
Find the length and width of a rectangle that has the given perimeter and a maximum area. perimeter: 244 meters
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[perimeter of rectangle]=2*(length+width)
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
the maximum area is given by a square
the answer is
is a square of side 61 m
solve the inequality 2× - 5 > 7
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add 5 to both sides
2x -5 + 5 > 7 + 5
2x > 12
divide both sides by 2
2x/2 > 12/2
two over two equals one so it "cancels out"
x > 6
ANSWER: x > 6
Hope this helps! :)
Suppose that in 2005, 894,700 citizens died of a certain disease. Assuming the population of the country us 302 million, what was the mortality rate in units of deaths per 100,000 people?
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The diameter of a circle is 6 yards. What is the circle's area? d=6 yd Use 3.14 for .
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Answer: 28.26 square yards
Step-by-step explanation:
The diameter is twice the radius, so if the diameter is 6, the radius is 3.
[tex]A=\pi(3^{2})=9\pi \approx 9(3.14)=\boxed{28.26 \text{ yd}^{2}}[/tex]
Dennis surveyed 30 students to determine their favorite fall sports. Of the students surveyed, 15 preferred football, 6 preferred soccer, and the rest preferred volleyball. Which is a correct statement about the results from the survey?
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if the height of a rectangular prism is doubled then the surface area of the prism is and I need work to and can you please help me and thank you
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Selection C is appropriate.
Which expressions are polynomials?
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All are polynomials except the first.
Answer:
z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
Step-by-step explanation:
Given : Expressions.
To find: Which expressions are polynomials.
Solution : We have given expression
Polynomial : A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer.
So, z + 1 having variable z and contact 1 so, it is a polynomial.
6 + w is also a polynomial.
[tex]2x^{4}+4[/tex] is also a polynomial that has degree 4 .
But expression [tex]y^{2}-\sqrt[1]{y}+4[/tex] is not a polynomial because it has fractional exponent.
Therefore, z+1 , 6 + w and [tex]2x^{4}+4[/tex] are polynomials.
If Sandy can afford car payments of $260 per month for 3 years, what is the price of a car that she can afford now? Assume an interest rate of 7.8 percent.
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amount deposited by Sandy in a month is $260
amount deposited per year=260*12=$3120
time=3years
rate=7.8%
Fv of annuity= P[(1+r)^n-1]/r
substituting our values we get
Fv=3120[(1+0,078)^3-1]/0.078
=10109.06208
The value of a car he can drive is $10109.06208
You own a hamburger franchise and are planning to shut down operations for the day, but you are left with 15 buns, 21 defrosted beef patties, and 17 opened cheese slices. Rather than throw them out, you decide to use them to make burgers that you will sell at a discount. Plain burgers each require 1 beef patty and 1 bun, double cheeseburgers each require 2 beef patties, 1 bun, and 2 slices of cheese, while regular cheeseburgers each require 1 beef patty, 1 bun, and 1 slice of cheese. How many of each should you make? plain burgers:______ double cheeseburgers:_______ regular cheeseburgers:_______
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With the remaining items, you would make 5 cheeseburgers and 4 hamburgers if you want to use up the remaining items.
The goal here is to have the same number of buns and burger remaining after the double cheeseburgers.
Final answer:
To use the ingredients efficiently, the franchise should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger, effectively utilizing all available buns, beef patties, and cheese slices.
Explanation:
To solve the problem of how many plain burgers, double cheeseburgers, and regular cheeseburgers you should make, you need to consider the ingredients as your limiting factors. Starting with the resources available: 15 buns, 21 beef patties, and 17 cheese slices. The recipes are as follows: plain burgers require 1 beef patty and 1 bun; double cheeseburgers require 2 beef patties, 2 cheese slices, and 1 bun; regular cheeseburgers require 1 beef patty, 1 cheese slice, and 1 bun.
First, notice that the number of buns is the overall limiting factor for the maximum number of burgers you can make, which is 15.Second, consider maximizing the use of cheese slices by making as many double cheeseburgers as possible, which would be 8 (consuming 16 beef patties and 16 cheese slices, leaving 5 buns, 5 beef patties, and 1 cheese slice).With the leftovers, you can make 1 regular cheeseburger (using 1 more beef patty, 1 cheese slice, and 1 bun) and then 4 plain burgers with the remaining 4 beef patties and buns.Therefore, you should make 4 plain burgers, 8 double cheeseburgers, and 1 regular cheeseburger to utilize the ingredients efficiently without waste.
what is the area of this
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The total area of the figure, calculated by summing the areas of three rectangles, is 81 square yards.
The figure in the image is composed of three rectangles. To find the total area, we calculate the area of each rectangle and then sum them up.
The first rectangle has a length of 13 yards and a width of 5 yards. Using the formula for the area of a rectangle, which is length times width, we get an area of 13 yd * 5 yd = 65 square yards.
The second rectangle extends upwards with a length of 2 yards and a width of 5 yards. Its area is 2 yd * 5 yd = 10 square yards.
The third rectangle extends to the right with dimensions of 2 yd by 3 yd. Its area is 2 yd * 3 yd = 6 square yards.
Adding these areas together, we get a total area of 65 sq yd + 10 sq yd + 6 sq yd = 81 square yards.
The question probable may be:
Find the area of the figure. (sides meet at right angles.)
The area of the piecewise rectangular figure is 59 square yards.
How the area is determined:
The first rectangle:
Length = 13 yards
Width = 5 yards
Area of the first rectangle = 65 square yards (13 x 5)
The second rectangle:
Length = 13 yards
Width = 2 yards
Area of the second rectangle = 6 square yards (3 x 2)
Since the second rectangle reduces the first rectangle, we subtract:
Area of the piecewise rectangle = 59 square yards (65 - 6)
Thus, we can conclude that the area of the piecewise rectangular figure is 59 square yards.
Table Sasha wants to know her average grade on her math tests. She earned a score of 70 on two tests, an 80 on one test, and a 90 on two tests. What is Sasha’s mean score? 70 75 80 90 This question is for 79 points
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the / means divide
(70 + 70 + 80 + 90) / 4 = 77.5
So mean score=(70+70+80+90+90)/5
Mean score=400/5= 80 marks
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