Answer: The largest number of groups they can be split into and have the same number of boys and girls on each team is 6 groups with 2 boys and 2 girls in each group.
When is it best to solve a system of equations using substitution?
Answer:
It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.
Step-by-step explanation:
This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution
Answer:
Answer Below
Step-by-step explanation:
It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.
Help please look at picture!!^^
9514 1404 393
Answer:
8167.14 m²
Step-by-step explanation:
The radius of the circle is half the diameter, so is 51 m. The area of the circle is given by the formula ...
A = πr²
Filling in the given numbers, we find the area to be ...
A = 3.14(51 m)² ≈ 8167.14 m²
The table at the right shows data representing a polynomial function. Answer A, B, and C.
a) The degree of the polynomial is 5.
b) The second difference is -726 -126 -6 114 714
c) The difference when they are constant is 480.
What is a polynomial?
A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.
y values: -999 -140 -7 0 1 116 945
1st difference 859 133 7 1 115 829
2nd difference -726 -126 -6 114 714
3rd difference 600 120 120 600
4th difference -480 0 480
5th difference 480 480
The degree of a polynomial is the number of difference where it is constant.
The degree of the polynomial function is 5.
The constant is the 5th difference which is 480.
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A hospital near a ski resort records the type of injuries treated during ski season and other seasons and other seasons over a year. the results shown in the table will help determine the medical staff that is required at different times of the year. according to the data in the table, what is the probability that a patient will need to be treated with a broken bone during ski season.
Answer:
The answer is C
Step-by-step explanation:
You have to divide both numerators then the denominater.
So, it would look like: 160 over 90 x 100 over 290
160x100=16 90x290=25 16/25
if you could respond with the work shown that would be amazing! i rate people very nicely!! this is due before 7 AM EST time :)
Answer:
110 in.²
Step-by-step explanation:
The figure is composed of a parallelogram and a rectangle
Therefore, the area of the figure = area of rectangle + area of parallelogram
= Length*Width + base*height
Length = 10 in.
Width = 6 in.
base = 10 in.
height = 5 in.
Area of the figure = 10*6 + 10*5
= 60 + 50
= 110 in.²
If a family has 7 children, in how many ways could the parents have 4 boys and 3 girls as children?
Answer:
add the 3 and 4
Step-by-step explanation:
Given that X≈2 is an approximate solution to x^2+2x-2=5, use the graph to find another approximate solution round your answer to the nearest integer. X≈ ___
The nearest integer that is a solution, gotten through graphing of the quadratic function x² + 2x - 2 = 5, is x = -4
How to find the graphical solution of the functionQuadratic equations when plotted on a graph follows a parabolic path.
To plot the functions there will be table of values that is used in making the graph. The table of values is solved as follows
x² + 2x - 2 = 5 rearranging the equation will result to x² + 2x - 7 = 0
For x = -20, y = (-20)² + 2 * -20 - 7 = 353
For x = 0, y = (0)² + 2 * 0 - 7 = -7
For x = 20, y = (20)² + 2 * 20 - 7 = 433
x y
-20 353
0 -7
20 433
The graph is plotted and attached. From the graph the solution is
x = -3.828, to the nearest integer = -4
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What is the length of the longest diagonal
Answer:
pi 3.1415926535897932384626433832795
5.7935 rounded to the nearest thousand
Answer:
5.794
Step-by-step explanation:
The seven after the decimal point is the tenth digit, the nine is the hundredth, and the 3 is the thousandth place. Therefore, we look at our neighbor (the number next to the thousandth place) and if its 5 or more we round up, but if its 4 or less we keep it the same.
PLEASE HELP!!!!! PLEASE GIVE A EXPLANATION AND SHOW WORK!!!! THANK YOU!!!!
In 2018, the population will grow to over 700,000. The population of a city in 2010 was 450,000 and was growing at a rate of 5% per year. In what year will the population be over 700,000? Show all work.
Answer:
2019
Step-by-step explanation:
2010: 450,000
2011: (5% of 450,000) + 450,000 = 472,500
2012: (5% of 472,500) + 472,500 = 496,125
2013: (5% of 496,125) + 496,125 = 520,931.25
2014: (5% of 520,931.25) + 520,931.25 = 546,977.8125
2015: (5% of 546,977.8125) + 546,977.8125 = 574,326.703125
2015: (5% of 574,326.703125) + 574,326.703125 = 603,043.038281
2016: (5% of 603,043.038281) + 603,043.038281 = 633,195.190195
2017: (5% of 633,195.190195) + 633,195.190195 = 664,854.949705
2018: (5% of 664,854.949705) + 664,854.949705 = 698,097.69719
2019: (5% of 698,097.69719) + 698,097.69719 = 733,002.582049
Basically, take five percent of the population of the year and add it to the population of the previous year. This is the long way of doing it, but you get the population count for each year.
While taking a hike 80% or 20 of the participants wore hiking boots. How many participants were on the hike?
20 beacuse you need hiking boots to hike
Answer:
25
Step-by-step explanation:
let x = # of participants on the hike
(.80)x = 20
x = 20/0.80 = 25
The equation below represents the amount of work required to complete a project, where x represents the number of hours each group member must contribute to the project. How many hours does each group member work on the project? x+45/4=4x 2 hours 4 hours 16 hours 3 hours
The number of hours does each group member work on the project is 4 hours. Therefore, the correct answer is option B.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is x+45/4=4x.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
4x-x=45/4
3x=45/4
x=15/4
x=3.75
x≈4 hours
Therefore, option B is the correct answer.
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find the surface area of the prism
Answer:
62ft²
Step-by-step explanation:
Hi there!
Surface area is calculated by this formula:
2(length*width)+2(width*height)+2(length*height)
*note: we multiply each area by 2, as the prisim has 6 faces, or 2 of each face
we're given a length of 5 ft, a width of 2 ft, and a height of 3ft
now let's calculate the surface area
to find the area of the first two faces:
2(length*width)
2(5*2)
2(10)
20 ft²
now to find the area of the second two faces:
2(width*height)
2(2*3)
2(6)
12 ft²
finally, find the area of the last two faces:
2(length*height)
2(3*5)
2(15)
30 ft²
now add up all the values
SA=20+12+30=62 ft²
your answer is 62ft²
Hope this helps!
The dimensions of a rectangular Pyramid are shown in the diagram below what is the volume of the rectangular pyramid in cubic
Answer:
160 in³
Step-by-step explanation:
Volume of rectangular pyramid, V = (Length * width * height) / 3
Length = 10 in ; width = 8 in ; height = 6 in
V = (10 * 8 * 6) / 3
V = 160 in³
Popcorn at the Movies - Exit Slip
You and a friend go to the movies and decide to share a large bucket of popcorn. Write a story to describe the graph.
Given the example below, determine the property displayed.
7+3=3+7
Answer:
commutative property of addition
Step-by-step explanation:
commutative property of addition
The commutative property of addition allows you to change the order of the numbers in an addition.
For example, 1 + 2 = 2 + 1
Please help meeeeeee!!!!!!!!
Answer:
A
Step-by-step explanation:
Hi I don't usually upload pictures but I was too lazy to type so I did it on paper. I had to get the numbers in the parenthesis out so I multiplied the + by everything in the parenthesis following the negative and positive multiplication rules. Then, I combined and subtracted like terms.
Hope this helps !!
-Ketifa
Can someone help fast please!!!!
Answer:
yes it is
Step-by-step explanation:
Kim is thinking of a prime number.
It is in between a multiple of 11 and a factor of 48
What number is Kim thinking of?
Answer:
35
Step-by-step explanation:
The population growth of a certain city is given by the function P(t) = 0.9(1.5)^t, where t is time in years. Estimate lim P(t), if it exists.
Answer:
Infinity (∞)
Step-by-step explanation:
Graph the function and observe that the function P(t) increases without bound as x increases.
Find the volume of this square
based pyramid.
10 in
12 in
[? ]in3
Answer:
[tex]v=480 ~in^3[/tex]
Step-by-step explanation:
[tex]v=1/3 Bh[/tex]
[tex]1/3(12)^210=[/tex]
[tex]480 ~in^3[/tex]
------------------------
hope it helps...
have a great day!!!
What is 1/4 : 3/4 :: 75 : =
Answer:
75 : 225
Step-by-step explanation:
[tex]\frac{\frac{1}{4} }{\frac{3}{4} } :\frac{75}{y}[/tex]
0.25 × y = 0.75 × 75
0.25y = 56.25
0.25y ÷ 0.25 = 56.25 ÷ 0.25
y = 225
-69=7v-6
Please show your work, thank you.
CAN SOMEONE HELP PLEASE???
When a car's tire pressure is 30 pounds per square inch (psi), it averages mpg of gasoline. If the tire pressure is increased to 35 psi, the car averages mpg of gasoline. Answer parts a) through c).
If someone drives an average of 21,000 mi per year, how many gallons of gasoline will he save in a year by increasing his tire pressure from 30 to 35 psi?
If gasoline costs $2.00 per gallon, how much will he save in a year?
Assume that there are about 130 million cars in a country and that these changes are typical of each car, how many gallons of gasoline would be saved if all drivers increased their cars' tire pressure?
Answer:he will save 100 $
Step-by-step explanation:
Answer: $142
Step-by-step explanation: assume 20miles per gallon.
Then 0.05 gallon per mile.
35psi gives 30/35= 0.85 times the surface on the ground, gives square 0.85^2= 0.73 times more deflection so heatproduction a cycle or at same speed. This gives more fuelconsumption.
I once determined that when driving 50mph/80kmph constant, tires use 25% of the total fuel-consumption.
Higher speed same fuelconsumption by the tires, but more bij the higher speed. But to keep it simple only 50mph.
The fuelconsumption at 30 psi 0.05 gpm, 25% by the rolling resistance is 0.0125mpg. 35psi ,0.73 x0.0125=0.0091gpm.
The windforce stays the same 75% of total is 0.0375mpg+ 0.0091= 0.0466mpg,0.0466gpm/0.05= 93% used of fuel with 35psi then at 30 psi.
So 21000mpj x 0.05gpm= 1050 gallon
21000mpjx 0.466gpm= 979gallon.
Saving 1050-979= 71 gallonx $2= $142
Rounded here and there, and other speeds give other divisions, but to show the idea how to calculate it.
Also if 25% used is right is discussable.
2. What number is a common multiple of
5 and 9?
How many 25 cents are there in $10?
Answer:
40 quarters are in $10
Step-by-step explanation:
Answer:
40 quarters i think cause there's 4 quarters in a dollar and then 10 x 4 equals 40...
Step-by-step explanation:
is the pie sign a integer, rational number or irrational number?
Answer:
pi is considered to be irrational because it is a non-terminating, non-repeating decimal
Step-by-step explanation:
Find the area of the shaded
NO DOCS,LINKS, FILES ETC
LOTS OF POINTS
WILL MARK BRAINLYEST
Answer:
40.5 m²
Step-by-step explanation:
Area of the shaded = area of the square - area of the triangle
Area of square = s²
s = 9 m
Area of square = 9² = 81 m²
Area of triangle = ½*b*h
b = 9 m
h = 9 m
Area of triangle = ½*9*9 = 40.5 m²
Area of the shaded = 81 - 40.5 = 40.5 m²
Which of the following equations show the relationship between x and y in the table?
1. y= x+3
2. Y= 3x+1
3. Y=2x+2
4.y=4x
Answer:
y=2x+2
Step-by-step explanation:
you have to substitute x and y in the given equations and which one works
for y=x+3 , 4=1+3 true , 6=2+3 false
for y=3x+1, 4=3*1+3 false
for y=2x+2, 4= 2*1+2 true, 6= 2*2+2 true, 8= 2*3+2 true, 10=2*4+2 true
for y=4x, 4=4*1 true, 6= 4*2 false
Employee A gets paid $150 weekly, plus $0.50 for each latte they sell. If he was paid $275,
how many lattes did he sell this week?
Answer:
550 lattes he sold this week
Step-by-step explanation:
$275÷$0.50= 550