Question:
a. Twenty-three ninth graders and fifteen eleventh graders prefer math.
b. Fourteen eleventh graders prefer math and eight tenth graders prefer English.
c. Thirty-five twelfth graders prefer math and nine tenth graders prefer English.
d. Twenty-three ninth graders and thirty-five twelfth graders prefer math.
e. Eighteen tenth graders prefer English and fourteen eleventh graders prefer math.
Answer:
Therefore, the correct options are;
b. and d.
Step-by-step explanation:
Here we have a table with blank boxes and totals from which we can fill the boxes;
For the 12th graders, we have a total of 67 pupils with 32 preferring English, therefore the number of the 12th graders that prefer math is 67 - 32 = 35 pupils
Similarly for the 11th graders we have total pupils = 29 with 15 preferring English, therefore the number of the 11th graders that prefer math is 29 - 15 = 14 pupils
Also for the 10th graders we have total pupils = 26 with 18 preferring math, therefore the number of the 11th graders that prefer English is 26 - 18 = 8 pupils
Finally for the 9th graders, we have a total of 63 pupils with 40 preferring English, therefore the number of the 9th graders that prefer math is 63 - 40 = 23 pupils
From the above, the correct option is
Answer:
b only
Step-by-step explanation:
A landlord wanted to determine the number of dogs that each tenant owns. The following data set shows the results from the landlord’s survey.
0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 4, 3, 1, 2, 1
The landlord constructed the following dot plot to represent the data. What information on the dot plot is incorrect? Select all that apply.
-the number of tenants with 0 dogs
-the number of tenants with 1 dog
-the number of tenants with 2 dogs
-the number of tenants with 3 dogs
-the number of tenants with 4 dogs
Answer:i think its 1,3,4
Step-by-step explanation:
Choose a room. How much would it cost to paint that room with two coats of paint?
Need help like now
You will get 50 points if you help my
Answer:
should be $410.81 for living room
Step-by-step explanation:
13 x 15.5 x 12 = area
area x 2 = two coats of paint on area
two coats of paint on area divided by 400
multiply that by 33.98
Answer:
$135.92
Step-by-step explanation:
Just chose Bedroom 3 because it has whole numbers, none of the other rubbish.
The interior surface area of the bedroom can be calculated by the formula:
2lw + 2wh + 2lh
The surface area is 816 feet squared.
Since we are painting the room twice, we can just double this value for the sake of the next step.
The cost per gallon of paint is $33.98.
Each gallon covers 400 ft^2.
The number of gallons required is (816*2)/400, which is 4.08 gallons. If we approximate that we require 4 gallons, then the total cost will be $33.98*4 = $135.92.
I need help..........
Which ordered pair is the solution to the system of linear equations -5x + Y = 26 and 2x-7y = 16 ?
Answer:
(-6, -4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
-5x + y = 26
2x - 7y = 16
Step 2: Rewrite Systems
-5x + y = 26
Add 5x on both sides: y = 5x + 26Step 3: Redefine Systems
y = 5x + 26
2x - 7y = 16
Step 4: Solve for x
Substitution
Substitute in y: 2x - 7(5x + 26) = 16Distribute -7: 2x - 35x - 182 = 16Combine like terms: -33x - 182 = 16Isolate x term: -33x = 198Isolate x: x = -6Step 5: Solve for y
Define equation: 2x - 7y = 16Substitute in x: 2(-6) - 7y = 16Multiply: -12 - 7y = 16Isolate y term: -7y = 28Isolate y: y = -4Answer the following questions if x=3 what is the value of
2x+5 11-3x x²+4x
Answer:
Step-by-step explanation:
hello :
2x+5 11-3x x²+4x
x=3 : 2(3)+5+11-3(2)+(3²)+4(3) ...continu
Answer:
11
2
21
Step-by-step explanation:
Since the value of x is given we will have to substitute into each of the equation
So let's start
2x+5
And x is given to be 3
2(3)+5
6+5
11
11-3x
11-3(3)
11-9
2
X^2+4x
(3)^2+4(3)
9+12
21
PLEASE HELP ASAP!!
What type of association does the graph show between x and y?
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
Answer:
The answer is D
Step-by-step explanation:
I know because I take pre- algebra.
There are 300 bunnies on a bunny farm. The farmer says their population
increases at a rate of 20% per year. What is the INITIAL VALUE for this
equation?
Answer:
The initial value is 300 bunnies
Step-by-step explanation:
we know that
The equation of a exponention growth function is given by
[tex]y=a(1+r)^x[/tex]
where
y is population of a bunnies
x is the number of years
a is the initial value
r is the rate of change
we have
[tex]a=300\\r=20\%=20/100=0.20[/tex]
substitute
[tex]y=300(1+0.20)^x[/tex]
[tex]y=300(1.20)^x[/tex]
therefore
The initial value is 300 bunnies
Find the area of a
regular hexagon with
an apothem of
15 cm.
DO
The area of the regular hexagon is 585 square centimeters.
Explanation:A regular hexagon is a polygon with six equal sides and six equal angles. To find the area of a regular hexagon, you can use the formula:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \text{side length}^2 \][/tex]
However, in this case, the apothem (the distance from the center to the midpoint of a side) is given instead of the side length. The relationship between the apothem (\(a\)) and the side length (\(s\)) of a regular hexagon is given by:
[tex]\[ a = \frac{s}{2} \times \sqrt{3} \][/tex]
Rearranging this formula to solve for \(s\), we get:
[tex]\[ s = \frac{2 \times a}{\sqrt{3}} \][/tex]
Substituting this expression for \(s\) into the area formula, we get:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \left(\frac{2 \times a}{\sqrt{3}}\right)^2 \][/tex]
Simplifying further:
[tex]\[ \text{Area} = \frac{3 \sqrt{3}}{2} \times \frac{4 \times a^2}{3} \][/tex]
Canceling out common factors:
[tex]\[ \text{Area} = 2 \sqrt{3} \times a^2 \][/tex]
Now, substituting the given apothem ((a = 15) cm), we find:
[tex]\[ \text{Area} = 2 \times \sqrt{3} \times (15 \, \text{cm})^2 = 585 \, \text{cm}^2 \][/tex]
Therefore, the area of the regular hexagon is 585 square centimeters.
When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?
Answer:
B. x
Step-by-step explanation:
-3x+8y=-6
3x-2y=-12
if we add these
-3x+3x+8y-2y=-6-12
6y=-12 so x will be eliminated
Final answer:
When solving a system by elimination, the variable eliminated is the one with coefficients that add up to zero when equations are combined.
Explanation:
When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?
When adding the two equations together in a system, the variable that will be eliminated will be the one that has coefficients with additive inverse values. For example, if one equation has x and the other has -x, adding them would result in the elimination of the x variable.
After adding the two equations together, look for a pair of variables that will cancel each other out, resulting in the elimination of one variable.
Which answer choice shows a solution set in which all
values, when input for x, will be true?
80
---- > 4
4x
{2,4,6,8}
{3,6,9,12}
{1,2,3,4}
{3,4,5,6}
Given:
[tex]$\frac{80}{4 x}>4[/tex]
To find:
The solution set for the inequality.
Solution:
If the greater number of the set satisfies the inequality, then that set is the solution set.
Option A: {2, 4, 6, 8}
Greater number = 8. Thus substitute x = 8 in given expression.
[tex]$\frac{80}{4 \times 8}>4[/tex]
[tex]$2.5>4[/tex]
This is not true because 2.5 < 4.
It is not solution set.
Option B: {3, 6, 9, 12}
Greater number = 12. Thus substitute x = 12 in given expression.
[tex]$\frac{80}{4 \times 12}>4[/tex]
[tex]$1.67>4[/tex]
This is not true because 1.67 < 4.
It is not solution set.
Option C: {1, 2, 3, 4}
Greater number = 4. Thus substitute x = 4 in given expression.
[tex]$\frac{80}{4 \times 4}>4[/tex]
[tex]$5>4[/tex]
This is true because 5 is greater than 4.
It is the solution set.
Option D: {3, 4, 5, 6}
Greater number = 6. Thus substitute x = 6 in given expression.
[tex]$\frac{80}{4 \times 6}>4[/tex]
[tex]$3.33>4[/tex]
This is not true because 3.33 < 4.
It is not solution set.
Hence {1, 2, 3, 4} is the solution set for the expression.
Answer:
Step-by-step explanation:
3rd choice is correct
|x+5| =3
plz help show steps
Hope this will help u...
Find the area of a circle with a diameter of 6.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
To find the area of a circle with a diameter of 6, divide the diameter by 2 to get the radius, then use the formula Area = πr² with the calculated radius, resulting in an area of 28.26.
Using either the exact value of π (pi) or its approximation 3.14, we substitute the radius into the formula to calculate the area.
Using π, the area is:
A = π(3)² = 9π
Using the approximation of 3.14 for π, the area is:
A = 3.14(3)² = 3.14(9) = 28.26
So, the area of the circle is either 9π square units or approximately 28.26 square units if you use 3.14 for π.
Which dimensions can create only one unique triangle?
A. three angles measuring 25°, 65°, and 90°
B. three angles measuring 50°, 50°, and 50°
C. three sides measuring 5 in, 12 in, and 14 in.
D. three sides measuring 4 ft, 8 ft, and 14 ft
Answer now and i’ll thank you!
Answer:
C. three sides measuring 5 in, 12 in, and 14 in.
Step-by-step explanation:
Please help easy and it is multiple choice
5.702 cm
hoping this helps
A cylinder has a radius of 24.6 inches and a volume of 29,468 in3. Find its height.
A. 14.5 in
B. 15 in
C.15.5 in
D. 16.5 in
Answer:
15.49 inches
Step-by-step explanation:
Volume of a cylinder is given by
[tex]V=\pi r^{2}h[/tex]
Making h the subject of the formula then
[tex]h=\frac {V}{\pi r^{2}}[/tex]
Where h is the height, V is volume and r is radius. Substituting 24.6 inches for r and 29468 cubic inches for V then
[tex]h=\frac {29468}{\pi 24.6^{2}}=15.493723673378\ in\approx 15.49\ in[/tex]
Therefore, the height is approximately 15.49 inches
The correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
To find the height of a cylinder with a volume of 29,468 cubic inches (in3) and a radius of 24.6 inches, we use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height.
Plugging in the known values, we get:
29,468 in3 = π(24.6 in)2h
Solving for h, the height of the cylinder, we perform the following steps:
Calculate the base area: Base Area = π(24.6 in)2
Divide the volume by the base area to find the height: h = Volume / Base Area
Calculate the height: h = 29,468 in3 / (π(24.6 in)2)
After performing the calculation, we conclude that the correct height of the cylinder that produces a volume of 29,468 in3 is 15 inches (Choice B).
STR≅△XYZ, TR=14c−13, and YZ=10c−1. Find c and TR.
c = 4 and TR = 39
c = 6 and TR = 59
c = 2 and TR = 19
c = 3 and TR = 29
The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.
Given that, △STR≅△XYZ, TR=14c−13, and YZ=10c−1.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
We know that, corresponding parts of congruent triangles are equal.
Here, TR=YZ
⇒ 14c-13=10c-1
⇒ 14c-10c=-1+13
⇒ 4c=12
⇒ c=3 units
So, TR=14c-13
= 29 units
The value of c is 3 units and TR is 29 units. Therefore, option D is the correct answer.
To learn more about the congruent theorem visit:
https://brainly.com/question/24033497.
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what is 22,119 rounded to the nearest throusand place
Answer:
22,000
Step-by-step explanation:
When you are rounding, anything from 1-4 you round down, and any number 5-9 you round up. So, in this case the middle would be 500, but since the number is 119, it is 22,000.
Answer: 22000
Step-by-step explanation:
22,119 to the nearest thousandth
Thousand has 3 zeros at the back
Looking at the last 3 figures
It is not up to 500,so it is rounded up as 0
Therefore, nearest thousandth is
=22000
I am the fewest number of coins needed to
make 37 cents using only pennies, nickels,
and dimes. Who am I?
What is the answer
Answer:
6 coins
Step-by-step explanation:
3 dimes
1 nickel
2 pennies
Answer: 6 coins
Step-by-step explanation:
Pennies = 1c
Nickels = 5c
Dimes = 10c
10 * 3 dimes = 30c
30c + 5c (a nickle) = 35c
35c + 2 pennies = 34
Therefore, the lowest amount of coins is 6 (3 dimes, 1 nickle, and 2 pennies)
4t^3+9y+1
11gh-6t+4
z+mn-4v^2
List the terms in each expression
Answer:
1. 4t^3, 9y, 1
2.11gh, 6t, 4
3.z, mn, 4v^2
Step-by-step explanation:
Each term is separated by + or -
What is 54 in scientific notation
Answer:
5.2 times 10^1
Step-by-step explanation:
the first number should be less than ten.
Answer: [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]
Step-by-step explanation: To write a number in scientific notation, first write a decimal point in the number so that there is only one digit to the left of the decimal point.
So here, we have 5.4 and notice that there
is only one digit to the left of the decimal point.
Next, we count the number of places the decimal point would
need to move to get back to the original number, 54.
Since we would need to move the decimal point 1 place to the right,
we have an exponent of positive 1.
Now, scientific notation is always expressed as a number between 1 and 10 including 1 but not 10 and it is multiplied by 10 to a certain power that must be an integer.
So we have [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex]
Notice that the exponent is positive.
This is because we would need to move the decimal point to the right in order to get back to the original number.
So 54 can be written in
scientific notation as [tex]5.4[/tex] [tex]x[/tex] [tex]10^{1}[/tex].
Cassandra spends 6.75 hours each day at school.
Round the amount of time to the nearest hour.
Answer:
6.75 round to 7
Step-by-step explanation:
Answer:
7 hours
Step-by-step explanation:
6.75 is closer to 7, because it is 0.25 from 7 and 0.75 from 6. Since 0.75>0.25, 6.75 rounds up to 7 hours a day. Hope this helps!
For the data set shown in the scatterplot, what is the BEST approximation of the y-intercept for the line of best fit?
A) 0
B) 10
C) 45
D) 80
Answer:
c.
Step-by-step explanation:
You could use a regression calculator to help you. You should try it its very helpful :)
Simplify 8y(y - 4) + 3y(y+2)
Answer:
11y^2-26y
Step-by-step explanation:
8y(y - 4) + 3y(y+2)
8y^2-32y+3y^2+6y
11y^2-26y
Answer:
11y^2 -26y
Step-by-step explanation:
8y(y - 4) + 3y(y+2)
Distribute
8y^2 -32y +3y^2 +6y
Combine like terms
8y^2 +3y^2 -32y +6y
11y^2 -26y
The figure is made up of a semicircle and a triangle. Find the perimeter. Round your answer to the nearest hundredth
Answer:
The perimeter of the figure is 86.53 meters
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the circumference of a semicircle, plus the sum of the legs of the right triangle
step 1
Find the circumference of a semicircle
The circumference of a semicircle is given by the formula
[tex]C=\pi r[/tex]
we have
[tex]r=29/2=14.5\ m[/tex] ----> the radius is half the diameter
assume
[tex]\pi =3.14[/tex]
substitute
[tex]C=(3.14)(14.5)=45.53\ m[/tex]
step 2
The sum of the legs of the right triangle is equal to
[tex]20+21=41\ m[/tex]
step 3
Perimeter of the figure
[tex]45.53+41=86.53\ m[/tex]
The volume of a rectangular prism is (x3 – 3x2 + 5x – 3), and the area of its base is (x2 – 2). If the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?
x minus 3 + StartFraction 7 x minus 9 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x minus 9 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x squared minus 2 EndFraction
x minus 3 + StartFraction 7 x + 3 Over x cubed minus 3 x squared + 5 x minus 3 EndFraction
Answer:
A. x - 3 + 7x - 9/x^2 - 2
did test on edge, got 100%
The height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).
The formula for the volume of a rectangular prism is V = Ah, where A is the area of the base and h is the height. Since we are given the volume and the area of the base, we can solve for the height. We have V = ([tex]x^{2}[/tex]-2) * h and V = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3), so we can set these two equations equal to each other and solve for h.
([tex]x^{2}[/tex]-2) * h = ([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3)
Expanding both sides, we get:
[tex]x^{2}[/tex]h - 2h = [tex]x^{3}[/tex]h - 3[tex]x^{2}[/tex]h + 5xh - 3h
Combining like terms, we get:
([tex]x^{3}[/tex] - 3[tex]x^{2}[/tex] + 5x - 3 - [tex]x^{2}[/tex] + 2 - 5x + 3) * h = 0
Simplifying, we get:
([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) * h = 0
Since [tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2 cannot equal 0 (since it's a cubic polynomial), we can divide both sides by ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2) to solve for h:
h = 0 / ([tex]x^{3}[/tex] - 4[tex]x^{2}[/tex] + 2)
So the height of the prism is x-3+ (7x-9)/([tex]x^{3}[/tex]-3[tex]x^{2}[/tex]+5x-3).
pleasee explainnnn #23
What else would need to be congruent to show that A ABC= A DEF by ASA?
Answer:
choice A. line BC = line EF
Step-by-step explanation:
we need the sides BC = EF
This is the side between the congruent angles.
For the congruence of the triangles, AB ≅ DE, BC ≅ EF, or CA ≅ FD should be congruent. Then the correct option is A.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are congruent, then the ratio of the corresponding sides will be one.
If any two sides and one angle of the triangles are congruent, then the triangles are congruent.
Or if any two angles and one side of the triangles are congruent, then the triangles are congruent.
In the figure, the two angle of the triangle are congruent.
For SAS postulate, then the sides will be
AB ≅ DE
BC ≅ EF
CA ≅ FD
Then the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Please help urgent!!!!
Step-by-step explanation:
you are such a b
are -3.5 and -14/4 the same value? plzzz i need helpppp
Answer:
Yes it is
Step-by-step explanation:
when you dived -14 by 4 you will get -3.5
Help me I’m lost .-.
Answer:
z=100
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
180-80=100