If you start with 1 cheerleader in row A, then you'll have 3 cheerleaders in row B (add on 2), and then 5 cheerleaders for row C (add on another 2), etc etc.
Note how: 1+3+5 = 4+5 = 9 which is a perfect square. Also note that 36 is a perfect square.
Rule: The sum of the first positive n odd numbers is going to be equal to n^2. In the example of adding the first three odd numbers (1,3,5), we have n^2 = 3^2 = 9 as the sum
So as you can see, we'll have n = 6 rows because n^2 = 6^2 = 36 and
1+3+5+7+9+11 = 36
which is the sum of the first six positive odd numbers. So we'll have 1 cheerleader in row A, 3 in row B, 5 in row C, 7 in row D, 9 in row E, 11 in row F to have 6 rows total.
To determine the number of rows in the triangular formation, set up an equation and solve for x. The number of rows is 6.
Explanation:To determine the number of rows in the triangular formation, we can set up a series of equations.
Let x be the number of rows.
The first row will have 1 cheerleader, the second row will have 3 cheerleaders, the third row will have 5 cheerleaders, and so on.
We can set up the equation: 1 + 3 + 5 + ... + (2x-1) = 36.
This is the sum of an arithmetic sequence with a common difference of 2. Solving for x, we get x = 6.
Therefore, there will be 6 rows in the formation.
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Kevin has $1,427 in a savings account his brother Haley has saved an amount with a 4 that is 1/10 the value of the 4 in Kevin's savings account. How much could Harley have In his savings account?
Answer:
77.5
Step-by-step explanation:
in this excercise the average is 4 months (January, Febuary, March, April)
the average rate is:
[tex]\frac{1450-1140}{4} =\frac{310}{4} = 77.5[/tex]
help please? .....................
[tex]2x^2+6x-10=x^2+6\qquad\text{subtract}\ x^2\ \text{and 6 from both sides}\\\\x^2+6x-16=0\\\\x^2+8x-2x-16=0\\\\x(x+8)-2(x+8)=0\\\\(x+8)(x-2)=0\iff x+8=0\ \vee\ x-2=0\\\\x+8=0\qquad\text{subtract 8 from both sides}\\\boxed{x=-8}\\\\x-2=0\qquad\text{add 2 to both sides}\\\boxed{x=2}\\\\Answer:\ \boxed{B.\ -8\ and\ C.\ 2}[/tex]
A football team won 9 out of 12 games what percentage of games has the football team won
50 yards of tape is needed to pack and ship 100 packages. You have a roll of tape that is 2000 inches long. About how many yards do you have? A) 28 yards B) 50 yards C) 56 yards D) 67 yards
Find out how many feet are in a yard.
3 feet = 1 yard
Find out how many inches are in a yard
3×12=36
Find out how many yards are in 2000 inches.
2000÷36=55.5
55.5 ≈ 56
The answer would be C) 56 yards
The AP Calculus exam scores were released in July. The Secondary Math Specialist prepared the box plot shown to present the scores to the superintendent. What's the range of scores that represents the middle 50 percent of the students who took the test?
A. 65%–94%
B. 65%–89%
C. 81%–89%
D. 65%–81%
Answer:
a
Step-by-step explanation:
Three friends each have some ribbon. Carol has 90 inches of ribbon, tino has 13.5 feet of ribbon, and baxter has 1.5 yards of ribbon. Express the total length of ribbon the three friends have in inches, feet, and yards.
To find the total length of ribbon Carol, Tino, and Baxter have, first convert each length into the same unit. The total length of ribbon is 306 inches, 25.5 feet, or 8.5 yards when combining all their ribbons.
The lengths of ribbon that Carol, Tino, and Baxter have must be expressed in the same unit to find the total length. We will convert all lengths into inches, feet, and yards.
Carol's ribbon: 90 inches
Tino's ribbon: 13.5 feet × 12 inches/foot = 162 inches
Baxter's ribbon: 1.5 yards × 3 feet/yard = 4.5 feet then 4.5 feet × 12 inches/foot = 54 inches
Total Length in Inches:
90 + 162 + 54 = 306 inches
Total Length in Feet:
306 inches ÷ 12 inches/foot = 25.5 feet
Total Length in Yards:
25.5 feet ÷ 3 feet/yard = 8.5 yards
Now we have the total length of ribbon in all three units: inches, feet, and yards.
I have 5 digits my nine is worth 9 x 10000 my two it's worth 2001 of my sevens is worth 70 the other is worth 10 times as much my other digit is at 6 what number am i
The number is = 92776
Explanation:
my nine is worth 9 x 10000 , this gives-
[tex]9\times10000=90000[/tex]
my two it's worth 2001 =2 (thousandth place)
sevens is worth 70(tens place) the other is worth 10 times (hundredth place) = 77
my other digit is at 6 =6
Hence, 92776
What is y greater Than or equal to 1/3x-2
Answer:
The given equation is
⇒y≥[tex]\frac{1}{3x-2}[/tex]
As domain of the function is 3 x-2≠0
x≠2/3
⇒For different values of x we get different values of y.
When, x>2/3 , we get positive values of y.
So , y≥ 0
and when x< 2/3 , we get values of y which are negative.
i.e y≤0
At x=2/3, function is not defined.So at that point there does not exist any value of y.
Janelle buys 4 cases of water. Each case of water contains 12 bottles. Janelle drinks 3 bottles of water. Veronica writes a numerical expression to represent the situation. Her expression (12 - 3) x 4 has a mistake.
HELP ME I NEED TO ANSWER THIS BEFORE OCTOBER 26!!
For each table, identify the independent and dependent variables. Represent the relationship using words, an equation, and a graph.
Number of Chairs Painted, p | Paint Left (oz), L
0 | 128
1 | 98
2 | 68
3 | 38
Number of Snacks Purchases,s | Total Cost ,C
0 | $18
1 | $21
2 | $24
3 | $27
Number of Flights of Stairs Climbed,n| 0 | 1 | 2| 3 |
Elevation(ft above sea level),E |311|326|341|256|
Please Help Me
&
Thank You
ANSWER TO QUESTION 7
Independent Variable: Number of Chairs Painted(p)
Dependent Variable: Paint Left(L)
To represent the relationship using a graph, we draw two perpendicular axis, wth Number of Chairs Painted(p) on the horizontal axis, and Paint Left(L) on the vertical axis.
Then we plot the points
[tex](0,\:\:128)[/tex], [tex](1,\:\:98)[/tex], [tex](2,\:\:68)[/tex], [tex](3,\:\:38)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{60}{-2}=-30[/tex]
and the y-intercept is
[tex]c=128[/tex]
The equation is given by
[tex]L=mp +c[/tex]
That is
[tex]L=-30p +128[/tex]
In words, Paint level is reducing at a rate of [tex]30[/tex]oz
ANSWER TO QUESTION 8
Independent Variable: Number of snacks purchased(s)
Dependent Variable: Total Cost(c)
To represent the relationship using a graph, we draw two perpendicular axis, with Number of snacks purchased(s) on the horizontal axis, and Total Cost(c) on the vertical axis.
Then we plot the points
[tex](0,\:\:18)[/tex], [tex](1,\:\:21)[/tex], [tex](2,\:\:24)[/tex], [tex](3,\:\:27)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{3}{1}=3[/tex]
and the y-intercept is
[tex]c=18[/tex]
The equation is given by
[tex]C(s)=ms +c[/tex]
That is
[tex]C(s)=3s +18[/tex]
In words, the Total cost increases is reducing at a unit rate of [tex]3[/tex]
ANSWER TO QUESTION 9
Independent Variable: Number of flight of stairs climbed(n)
Dependent Variable:Elevation (ft above sea level),E
To represent the relationship using a graph, we draw two perpendicular axis, with Number of flight of stairs climbed(n) on the horizontal axis, and Elevation (ft above sea level),(E) on the vertical axis.
Then we plot the points
[tex](0,\:\:311)[/tex], [tex](1,\:\:326)[/tex], [tex](2,\:\:341)[/tex], [tex](3,\:\:356)[/tex].
Using a straight edge, we draw a straight line through the points as shown in the diagram attached.
From the graph the slope is given by
[tex]Slope=\frac{15}{1}=15[/tex]
and the y-intercept is
[tex]c=311[/tex]
The equation is given by
[tex]E(n)=mn +c[/tex]
That is
[tex]E(n)=15n +311[/tex]
In words, the unit rate of rising above sea level is [tex]15[/tex]
Jackson bought 5 ounces of raisins for $,4. How many ounces of raisins can he buy with $1
Answer:
1.25 ounces
Step-by-step explanation:
Answer: The required number of ounces that he can buy with $1 is 1.25.
Step-by-step explanation: Given that Jackson bought 5 ounces of raisins for $4.
We are to find the number of ounces of raisins that he can buy with $1.
We will be using the UNITARY method to solve the problem.
We have
Number of ounces of raisins that can be bought with $4 = 5.
Therefore, the number of ounces of raisins that can be bought with $1 is given by
[tex]\dfrac{5}{4}=1.25.[/tex]
Thus, the required number of ounces that he can buy with $1 is 1.25.
|-67.05 – 42.98| – (29.80 + 45.83)
A.
30.04
B.
34.04
C.
34.40
D.
44.04
Answer:
its d 44.04
Step-by-step explanation:
(5/7) ÷ (1/3) hehdhdhhdvjshshhsjshdgdhshdhhd
Using synthetic division what is the quotient of (2x^3-3x-10) divided by (x-2)
Are the Trianfle similar?
If they are, identify the similarity ratio.
Yes; the similarity ratio is 3:4.
No; the triangles are not similar.
Yes; the similarity ratio is 1:2.
Yes; the similarity ratio is 5:6.
Answer:
It is yes the similarity ratio is 3:4.
Step-by-step explanation:
Answer:
Option 2 is correct that is NO ; The triangles are not similar.
Step-by-step explanation:
Given: Measurements of the sides of triangle.
Say sides of triangle 1 = 3 , 5 , 6
Sides of triangle 2 = 4 , 6 , 8
We have to find if triangles are similar or not and if they are similar then to find their ratio.
Since, We are given with only sides of the triangle.
Then if they are similar then they will be by Side-Side-Side similarity criteria.
Here, Two triangles are said to be similar by Side-Side-Side Criteria if ratio of their sides are equal.
But clearly from given values , all ratios are not equal.
[tex]\frac{3}{4}=\frac{6}{8}\neq\frac{5}{6}[/tex]
Or
[tex]\frac{3}{6}\neq\frac{5}{8}\neq\frac{6}{4}[/tex]
No possible pair give equal ratio.
Therefore, Option 2 is correct that is NO ; The triangles are not similar.
Please Help!!!
Which statement represents the biconditional statement of the conditional statements?
If the measures of two angles have a sum of 180º, then the angles are supplements.
If two angles are supplements, then their measures have a sum of 180º.
A. The measures of two angles have a sum of 180º if and only if the angles are supplements.
B. The measures of two angles do not have a sum of 180º if and only if the angles are supplements.
C. The measures of two angles do not have a sum of 180º if and only if the angles are not supplements.
D. The measures of two angles have a sum of 180º if and only if the angles are not supplements.
A. The measures of two angles have a sum of 180º if and only if the angles are supplements.
the angles must be supplementary to equal 180
To lose one pound of fat, a 200-pound person must burn 3,500 calories. If that person burns 180 calories by walking for 30 minutes, how many hours and minutes does the person have to walk to lose two pounds? Round your answer to the nearest minute. A. 53 hours 38 minutes B. 38 hours 53 minutes C. 19 hours 27 minutes D. 39 hours
For this case we have:
You lose 180 calories by walking 30min, that is:
180cal ---------> 30min
If to lose 1 pound of fat, the person should burn 3500 calories, to lose 2 pounds should burn twice the calories, that is, 7000 calories.
You want to know how long it takes to burn 7000 calories, knowing that they burn 180 in 30min. So:
180cal ---------> 30min
7000cal -------> x
Where x represents the time that must be used to burn the 7000 calories.
Resolving we have:
[tex]x = \frac{(7000cal * 30min)}{180cal}\\[/tex]
[tex]x = 1166.7min\\[/tex]
If 1h has 60min, then:
[tex]x = \frac{ (1166.7min * 1h)}{60min}\\[/tex]
[tex]x = 19.44h\\\\x = (19h + 0.44h)\\[/tex]
0.44h equals [tex]0.44 * 60min = 26.4min\\[/tex]
Thus, for the person to burn 7000 calories and lose 2 pounds, he must walk [tex]x = 19h + 26.4min[/tex].
Answer:
[tex]x = 19h + 26.4min\\[/tex]
Option C.
solve the world problem. the formula d = rt gives the distance traveled in time t at rate r. if a bicyclist rides for 2.3 hours and travels 41 miles, what was her average speed.
A.9.43 miles per hour
B.38.7 miles per hour
C.5.6 miles per hour
D.17.83 miles per hour
78.2% of the students study more that one day for the chapter test. Find the probability that a randomly selected student did not study more than one day for the test.
A. 0.218
B. 0.782
C. 0.328
D. 0.391
78.2% means that out of 100, 78.2 DO study. 100-78.2 gives you the amount of students that dont study (including me lol) which comes out to 21.8 . so since 21.8 out of 100 dont study, you can divide 21.8/100, and get your answer.
the answer is a
If you are traveling at a speed of 50 miles per hour, how many feet per second is this?
A handy conversion to remember is that 60 mph equals 88 feet per second.
Therefore, 50 mph will be (5/6) of 88 feet per second or 73.3333333333 feet per second.
519 divided by 6 and 915 divided by 7 and 439 divided by 7 and 812 divided by 9 which one does not have a two digit quotient.
519/6=86.5
915/7=130.7142
439/7=62.7142
812/9=90.2222
so i think its the 1st on but i may be wrong.
In the given sets of divisions, 812 divided by 9 is the one that does not yield a three-digit quotient when considering only whole numbers. All other division operations yield a three-digit quotient.
Explanation:Let's start by dividing each number step by step. When we divide 519 by 6, we get 86.5, and when we divide 915 by 7, we get 130.71428571428572. Next, when we divide 439 by 7, we get 62.714285714285715, and finally when we divide 812 by 9, we get 90.22222222222223.
In this case, a quotient is the result obtained from division. We're asked to identify the operation which does not yield a two-digit quotient. Here, all the separate division operations give us a quotient that is a numerical value with more than two digits. However, when you consider whole numbers only, 812 divided by 9 gives us a two-digit quotient (90), while all other division operation results are three-digit numbers.
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A spider ate 2 5 % 25%25, percent more bugs this month than last month. The spider ate 8 88 bugs last month. How many bugs did the spider eat this month? Bugs
bugs eaten this month = bugs eaten last month plus 25% of last month
x = 88 + .25 x 88
x = 88 + 88(.25)
= 88 + 22
= 110
Answer: 110 bugs
The length of a rectangular soccer field is 40 feet more than twice the width of the field. Complete an equation for the area of the field, where w is the width of the field.
A=_____w^2 +_____w
Answer with explanation:
Width of the field = w feet
As, given length of rectangular field is 40 feet more than twice the width.
Length of Soccer field = (2 w + 40) feet
Area of Rectangular field = Length × Breadth
= w × (2 w+40) square feet
A =2 w² +40 w
First Blank =2
Second Blank = 40
Given m∠D = 70°, m∠E = 42, and m∠EHG = 68°, prove DF is parallel to GH.
we know that
If DF is parallel to GH
then
the measure of the angle EGH must be equal to 70° by corresponding angles
so
Find the measure of the angle EGH
In the triangle EGH
the sum of the internal angles must be equal to 180 degrees
42°+68°+∠EGH=180°
solve for ∠EGH
∠EGH=180-(42+68)
∠EGH=180-110
∠EGH=70°
therefore
The lines DF and GH are parallel
Emma had some apples in her basket. Then, she picked 9 more apples. She gave 14 apples to Klara. She had 10 apples left. How many apples did Emma have in her basket to start?
Help me on this someone please
Can someone work out bomdas for me 32-7×4+42÷6×3
Solve the following multiplication problems.
a. 9 kg 3 hg 1 cg × 9 =
b. 11 dg 4 cg × 12 =
c. 10 g 5 dg × 6 =
d. 5 g 3 dg 4 cg × 8 =
a.9 kg 3hg 1cg x 9 =243^3hc
b. 11dg 4cg x 12=528dg^2c
c. 10g 5dg x 6= 300g^2
d. 480g^3dc
-i hope this helps
Answer:
a. 8370009 cg
b. 1368 cg
c. 630 dg
d. 4272 cg
Step-by-step explanation:
Since, 1 kg = 100000 cg,
1 hg = 10,000 cg,
1 dg = 10 cg,
1 g = 10 dg,
1 g = 100 cg,
a. So, 9kg 3hg 1cg × 9 = (900000+30000+1) × 9 = 930001 × 9 = 8370009 cg,
b. 11dg 4cg × 12 = (110 + 4) × 12 = 114 × 12 = 1368 cg,
c. 10g 5dg × 6 = ( 100 + 5 ) × 6 = 105 × 6 = 630 dg,
d. 5g 3dg 4cg × 8 = ( 500 + 30 + 4) × 8 = 534 × 8 = 4272 cg
Graph the function with the given description. A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases. The value of the function at 0 is 3.
The function is an illustration of a linear function.
See attachment for the graph of [tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]
Let the independent variable be x
The highlights are given as:
The value of the function at 0 is 3. i.e. h(0) = 3When the independent variable decreases by 5 (i.e. -5), the independent variable increases by 1. So, the slope (m) is -1/5From the above highlights, we have:
[tex]\mathbf{m = -\frac{1}{5}}[/tex] --- the slope
[tex]\mathbf{b = 3}[/tex] --- the y-intercept
A linear equation is represented as:
[tex]\mathbf{h(x) =mx + b}[/tex]
So, we have:
[tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]
See attachment for the graph of [tex]\mathbf{h(x) =-\frac{1}{5}x + 3}[/tex]
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If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG
Answer:
w = 2, EF = 30 , FG = 42
Explanation:
We have EF = 5w + 20 and FG = 7w + 28
Since these points E, F and G are col-linear points we have.
EG = EF + FG
And given that EG = 72
So, EF+EG = 72
5w + 20 + 7w + 28 = 72
12w + 48 = 72
12 w = 24
w = 2
So EF = 5w + 20 = 5x2 + 20 = 30
FG = 7w + 28 = 7x2 + 28 = 42