The true statement about the group of 120 seventh-and eighth-grade students is (c) twenty-four seventh-grade students chose a non-sports activity
The entries are given as:
Sports Non Sports Total
Seventh Grade: 39 24 63
Eighth Grade: 29 28 57
Total 68 52 120
From the above entries, we have the following highlights:
39 seventh-grade students chose a sports activity. 29 eighth-grade students chose a sports activity. 24 seventh-grade students chose a non-sports activity28 eighth-grade students chose a non-sports activity.From the above highlights, we can conclude that the following statement from the options is true
(c) twenty-four seventh-grade students chose a non-sports activity
Read more about data representation at:
https://brainly.com/question/1592223
Answer:
c)
Step-by-step explanation:
On a coordinate plane, 2 right triangles are shown. The first triangle has points A (negative 1, 3), B (negative 1, 1), C (3, 1). The second triangle has points A prime (2, negative 2), B prime (2, negative 4), C prime (6, negative 4).
6>2k+4
WONDERINGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
is it 1?
Step-by-step explanation:
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
Your class is learning to tie knots. Each student needs a piece of rope that is 3/4 yard long. How many yards of rope are needed for the 20 students in your class?
Answer:
15
Step-by-step explanation:3/4*20=15
The final price of a pair of socks is $6.40. It is on sale for 20% off. What is
the original price of the socks?
Answer: original price= $8
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 8 × 20/100
Discount = 8 x 0.2
You save = $1.60
Final Price = Original Price - Discount
Final Price = 8 - 1.6
Final Price = $6.40
whats 2x-3=67= pls HELP BRAINLy
Answer:
2x-3 = 67
2x = 67+3
2x = 70
x = 35
Answer:
x= 35
Step-by-step explanation:
Find the equation of the line.
y=[ ]x +[ ]
help stranger's ( ◜‿◝ )
Answer:
what is the question in this picture
A sports tournament has 6 teams. Each team has the same number of players. There are 60 players total. How many players does each team have?
Answer:
10
Step-by-step explanation:
because
60:6=10
every team has the same number of players
(it was an easy proble to solve thats why im typing , so i the app can confirm it as an answer)
bdbdbdndnfkkfkflfllflfkchchdhbdbenrnrnrnnrndndndndnddhjdjs
Answer:
10
Step-by-step explanation:
no. of teams=6
no. of players=60
no. of players in each team=60/6=10
ABC is an isosceles triangle, with ZA being the vertex angle.
If m
i need help asap
Answer:
mC=mA - base angles of an isosceles triangle
mA=68
what is 12890 X 567 pls tell me i need these for a test
Answer:
7,308,630
Step-by-step explanation:
Calculated it.
Which table represent a linear function
The linear function must be represented in the form y = mx + b, where y and x are variables.
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept
From the table, the linear function must be represented in the form y = mx + b, where y and x are variables.
Find out more on linear function at: https://brainly.com/question/4025726
Pleaseee help meeee
Answer: A.
Step-by-step explanation:
This is the only option in which the terms are ordered from least to greatest.
Therefore, A is the correct answer.
What is the equation of the line that passes
through the points (3,-1) and (7, 3)?
Answer: y = 1x + -4
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1: Calculating Slope (m).
m = y2-y1 /x2-x1
m = 3--1 /7-3
m = 4/4
m = 1
Now putting value of m in equation (i)
y = 1x + b -----(ii)
Step 2: Calculating Y-intercept (b).
Lets choose the first point, (3,-1) for calculating y-intercept:
y = mx + b
-1 = 1(3) + b
-1 = 3 + b
-4 = b
b = -4
Now putting value of b in equation (ii)
y = 1x + -4
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. Which of the following equations can be used to model the height as a function of time, t, in hours? Assume that the time at t = 0 is 12:00 a. M. H = 0. 5 cosine (StartFraction pi Over 12 EndFraction t) 9. 5 h = 0. 5 cosine (StartFraction pi Over 6 EndFraction t) 9. 5 h = cosine (StartFraction pi Over 12 EndFraction t) 9 h = cosine (StartFraction pi Over 6 EndFraction t) 9.
The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.
The equation that can be used to models the height as a function of time, based on the given options, is presented as follows; [tex]\displaystyle \underline{ H = 0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]Reasons:
The given parameters are;
The variation of the height of the tip of the hour hand = 9 feet to 10 feet
At t = 0, the time = 12.00 a.m.
Required: The equation that can be used to model the height as a function of time.
Solution:
The general form of the cosine function is presented as follows;
y = a·cos(b·x - c) + d
The amplitude = a
[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]
Therefore;
[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]
b = The cycle speed
The period, T, is given as follows;
[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]
The period of a block, T = 12 hours
Therefore;
[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]
[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]
[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]
At t = 0, H = The highest point = 10 ft.
Which gives;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]
[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]
-c = arcos(1) = 0
-c = 0
c = 0
The equation is therefore;
[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]
The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Learn more about the cosine function here:
https://brainly.com/question/4458343
https://brainly.com/question/24368105
5 : 1/3 in its simplest form
Answer:
15 : 1
Step-by-step explanation:
5 : 1/3
Multiply both numbers in the ratio by 3.
5 × 3 : 1/3 × 3
15 : 1
[tex]5:\frac{1}{3} =5.\frac{3}{1} =\frac{15}{1} <=>15:1 (=15)[/tex]
ok done. Thank to me :>
Help me Please no bots I need help
Answer:
y = 2/3x + 3/2
Step-by-step explanation:
18 inches is 3/2 feet. 8 inches is 2/3 feet.
The equation will have a slope of 2/3 ft per year, and an initial value of 3/2 ft.
y = 2/3x + 3/2
Find the distance between the two points. (-2,1) (1,-2) Enter the number that goes beneath the radical symbol
Answer:
4.242641
Step-by-step explanation:
d=[tex]\sqrt{(1-(-2))^{2}+(-2-1)^{2} }[/tex]
d=[tex]\sqrt{(3)^{2} + (-3)^{2} }[/tex]
d=[tex]\sqrt{9+9}[/tex]
d=[tex]\sqrt{18}[/tex]
d=4.242641
(does it deserve a Brainliest)
Additive inverse of -0.5
Answer:
0.5
Step-by-step explanation:
If you add 0.5 to -0.5, it will equal 0.
Estimation Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
Answer:
18.54x +48$85Step-by-step explanation:
The total amount Rita spent is ...
(18.54x +23) +(25) = 18.54x +48 . . . total spent
__
When x=2, that is approximately ...
(18.5)(2) + 48 = 37 +48 = (40 -3) +(50 -2) = (40 +50) -(3 +2) = 90 -5 = 85
Rita spent about $85 if she bought 2 items.
_____
Additional comment
Estimation is often done using 1 significant figure. In this case, that would mean rounding the equation to 20x+50, so it would give a value of 90 when x=2.
An additional task when estimating is to estimate the error in the estimate. Here, using 20x+50 has an error of approximately 1.5x+2 (too high), so the error for 2 items will be about (1.5(2)+2) = 5. That is, the estimate of 90 is approximately 5 too high. Even this estimate has a remaining small error of 0.04x (too low).
How to solve math equation 45+5
Answer:
50 is the answer
Step-by-step explanation:
you need to add 45+5 the you will get 50
Pls help me
4(3-x)=6(x+2)+20
Answer:
x = -2
Step-by-step explanation:
A sale of wedding gowns is marked at £168, which includes a reduction of 25%. What was the pre-sale price?
ASAP NOW!
The pre-sale price of the wedding gown is £224.
A reduction decreases the price of an item. As a result of the reduction, the wedding gown would be sold cheaper. The wedding gown would cost pay 75%(100 - 25%) of the pre-sale price.
This equation can be used to determine the pre-sale price of the wedding gown: discounted price / 75%
£168 / 0.75 = $224
To learn more about how to determine the price of an item, please check: brainly.com/question/25717996
how are ∠1 and ∠2 related
A. They are supplementary
B. They are complementary
C. They are Vertical
D. They are adjacent
Answer:
D. They are adjacentStep-by-step explanation:
Angles 1 and 2 have common side, so they are adjacent. They are not making a right or straight angle.
Correct choice is D
40 hours is what part of 120 hours
Answer:
1/3 part of 120 hours....
Help asap please!! Full work gets brainliest!!
Answer:
7,15,20
Step-by-step explanation:
Triangle side rule : The sum of the two shorter sides must be greater than the length of the largest side.
7 , 15 and 20
7 + 15 must be greater than 20 in order for 7,15 and 20 to be sides of a triangle
7 + 15 = 22
22 > 20 is true so this might be the answer but lets check the other answer choices just in case.
( we do this same process to the other answer choices )
11 , 22 and 35
11 + 22 must be greater than 35 in order for these to be side lengths of a triangle
11 + 22 = 33
33 is not greater than 35 therefore these sides lengths can not represent sides of a triangle
7, 16 and 23
7 + 16 must be greater than 23
7 + 16 = 23
23 > 23 , this is not true so this can't be the answer.
5 + 17 must be greater than 22
5 + 17 = 22
22 > 22 this is not true so this can't be the answer.
The answer is 7,15,20
constant of proportionly in the equation 3y = 2x
Answer:
Divide both sides by 22.
\frac{3y}{2}=x
2
3y
=x
2 Switch sides.
x=\frac{3y}{2}
x=
2
3y
Determine the graph of the equation 16^2 + 16^2 − 16 + 24 − 61 = 0.
Answer:
Enter a problem...
Precalculus Examples
Popular Problems Precalculus Find the Properties 16x^2+16y^2-16x+24y-3=0
16
x
2
+
16
y
2
−
16
x
+
24
y
−
3
=
0
Add
3
to both sides of the equation.
16
x
2
+
16
y
2
−
16
x
+
24
y
=
3
Divide both sides of the equation by
16
.
x
2
+
y
2
−
x
+
3
y
2
=
3
16
Complete the square for
x
2
−
x
.
Tap for more steps...
(
x
−
1
2
)
2
−
1
4
Substitute
(
x
−
1
2
)
2
−
1
4
for
x
2
−
x
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
−
1
4
+
y
2
+
3
y
2
=
3
16
Move
−
1
4
to the right side of the equation by adding
1
4
to both sides.
(
x
−
1
2
)
2
+
y
2
+
3
y
2
=
3
16
+
1
4
Complete the square for
y
2
+
3
y
2
.
Tap for more steps...
(
y
+
3
4
)
2
−
9
16
Substitute
(
y
+
3
4
)
2
−
9
16
for
y
2
+
3
y
2
in the equation
x
2
+
y
2
−
x
+
3
y
2
=
3
16
.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
−
9
16
=
3
16
+
1
4
Move
−
9
16
to the right side of the equation by adding
9
16
to both sides.
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
3
16
+
1
4
+
9
16
Simplify
3
16
+
1
4
+
9
16
.
Tap for more steps...
(
x
−
1
2
)
2
+
(
y
+
3
4
)
2
=
1
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
1
h
=
1
2
k
=
−
3
4
The center of the circle is found at
(
h
,
k
)
.
Center:
(
1
2
,
−
3
4
)
These values represent the important values for graphing and analyzing a circle.
Center:
(
1
2
,
−
3
4
)
Radius:
1
image of graph
In triangle QRS the measure of angle RSQ is 50 degrees , and the measure of angle QRS is 37 degrees. What is the measure of angle SQR in degrees?
Answer:
[tex] < rsq + < qrs + sqr = 180 \\ 50 + 37 + < sqr = 180 \\ < sqr = 180 - (50 + 37) \\ < sqr = 180 - 87 \\ = 93[/tex]
I hope it helps you
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice's fence if the area of her garden s 5,670 square feet?
Answer:
P = 342 ft
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightDistributive Property
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTerms/Coefficients
Factoring/ExpandingQuadratics
Solving quadratic equationsStandard Form: ax² + bx + c = 0Geometry
Area of a Rectangle Formula: A = lw
l is lengthw is widthPerimeter of a Rectangle Formula: P = 2w + 2l
l is lengthw is widthStep-by-step explanation:
Step 1: Define
Identify variables.
A = 5670 ft²
"Length that is 9 feet less than 3 times its width" → l = 3w - 9
Step 2: Find w
Substitute in variables [Area of a Rectangle Formula]: w(3w - 9) = 5670[Distributive Property] Expand: 3w² - 9w = 5670[Subtraction Property of Equality] Rewrite [Standard Form]: 3w² - 9w - 5670 = 0[Quadratic] Factor: 3(w - 45)(w + 42) = 0[Quadratic] Solve [Find roots]: w = -42, 45Since length/width cannot be negative, we know that w = 45 ft.
Step 3: Find l
Substitute in w [Length Formula]: l = 3(45) - 9[Order of Operations] Evaluate: l = 126 ftStep 4: Find Perimeter
Substitute in variables [Perimeter of a Rectangle Formula]: P = 2(45 ft) + 2(126 ft)[Order of Operations] Evaluate: P = 342 ft∴ The perimeter of Janice's fence is 342 ft.
Let width be x ft
Length be 3x-9ft
Now
Area=Length ×Breadth5670=x(3x-9)5670=3x²-9x3x²-9x-5670=0On solving we wI'll get x=-42,45
Take it positive
x=45width=45ftLength=3(45)-9=135-9=126ftNow
Perimeter
2(Length+Width)2(45+126)2(171)342ft