Answer:
70%
Step-by-step explanation:
Total students = 300
Male students = 90
Female students = 300 - 90 = 210
Percentage of female students
[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]
Answer:
70%
Key Points:
Total Students: 300Male Students: 90Unknowns:
Male Student PercentageFemale Student CountFemale Student PercentageWe are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.
300 overall students - 90 male students = ____ female students
Simplify.
Given our above equation, we now know that there are 210 female students at the school.
In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.
[tex]\frac{210}{300} = ?[/tex]
Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7
Now, you need to multiply it by 100 so that you can create a percentage.
0.7 × 100 = 70%
Therefore, 70% of the students are female.
Checking our work:
A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.
If 70% is the correct percentage for female students, the male and female percentages should add up to 100%
Finding the male percentage:
Similar to how we found the percentage of females at the school, we must divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.
[tex]\frac{90}{300} = ?[/tex]
Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3
Next, multiply your answer by 100 to get our percentage.
0.3 × 100 = 30%
Knowns:
Female Percentage: 70%Male Percentage: 30%Add the female percentage with the male percentage: 70% + 30% = 100%
As predicted, our answer was 100%. Therefore, 70% of the students are female.
Learn more about solving for percentages by reviewing these answers!
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M is directly proportional to r3
When r = 4, M = 160
a) Work out the value of M when r = 2.
Answer:
M = 20
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, that is
160 = k × 4³ = 64k (divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of proportion
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
Answer:
M<varies>r³
M=kr³(k= constant)
when M=160,r=4
160=k(4)³
160=64k
k=2.5
therefore,M=2.5r³
when r=2
M=2.5r³
M=2.5(2)³
M=2.5(8)
M=20
What is the constant in 15-8y
A 15
B 8
C-8
D -15
Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.
Answer:
The answer is a
Step-by-step explanation:
I hoped i helped
If a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, then which statement would be true?
The figure must be an isosceles trapezoid because it has 2 congruent base angles.
The figure must be a rectangle because all rectangles have exactly 2 lines of symmetry.
The figure could be a rhombus because the 2 lines of symmetry bisect the angles.
The figure could be a square because the diagonals of a square bisect the right angles.
Answer:
the figure could be a rhombus because the 2 lines of symmetry bisect the angles
Step-by-step explanation:
Option C is correct. , if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, the figure could be a rhombus because the 2 lines of symmetry bisect the angles.
Quadrilaterals are figures with four sides and angles. Examples of quadrilateral include:
RectangleSquarerhombusA line of symmetry is a line that divides a shape such that they become mirror images of each other.
Hence, if a quadrilateral has exactly 2 lines of symmetry, and both are angle bisectors, from the options, the figure could be a rhombus because the 2 lines of symmetry bisect the angles (divides the angles equally).
Learn more here: https://brainly.com/question/19670823
Find an equation of the line passing through the pair of points. Write the equation in the form Ax+By = C.
(-6,3), (-7, - 7)
Answer:
-10x + y = 63
Step-by-step explanation:
Let's find the slope of this line. Going from (-7, -7) to (-6, 3), the "run" is +1 (this is the increase in x) and the "rise" is -10 (y increases by 10). Thus, the slope, m, is m = rise / run = 10 / 1 = 10.
Using the point-slope version of the equation of a straight line, we get
y + 7 = 10(x + 7)
Performing the multiplication results in
y + 7 = 10x + 70.
Rearranging these terms in the form Ax + By = C, we get:
-10x + y = 63
Check this by substituting -6 for x and 3 for y:
-10(-6) + 3 = 63 This is TRUE
Please help me i dont understand this is 15 points
Answer:
2. y =13x + 143
Step-by-step explanation:
plug in numbers in your calculator; go to stat → edit,then again to stat → calculate →linear reg→ enter and get a and b, round the numbers
a = 13 , b = 143
What's the largest eight-digit base 2 integer? Express your answer in base 10.
Answer:
[tex]11111111_{2} =255_{10}[/tex]
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111.
[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]
Answer:1111111
Step-by-step explanation:
The largest eight-digit base 2 integer is 11111111
Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?
Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
please help me find the volume for this triangular prism
Answer:
140 yd³
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Ah ( A is the area of the triangular face and h is the depth )
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
= 0.5 × 5 × 8 = 20 yd² , thus
V = 20 × 7 = 140 yd³
In the notation "s(x) = ...," what does "s(x)" represent?
A.
The value of x depends on the value of s(x), since xis a function of s.
OB.
There is not enough information to answer this question.
C.
The value found when sis multiplied by the value x.
D.
The value of s(x) depends on the value of x, since s is a function of x.
Answer:
C
Step-by-step explanation:
I think
f(x)=5x−3
f(5) = ???
Answer:
22
Step-by-step explanation:
5(5) -3
25-3
22
Answer:
the answer is 22.
Step-by-step explanation:
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
6) Name all factors of x3 – 3x2 – 10x.
A. x
B. x + 5
C. x – 5
D. x + 2
E. x – 2
F. 2
G. 5
H. None of the above
its not on edg
Answer:
A. x
C. x – 5
D. x + 2
Step-by-step explanation:
From the question above, we are asked to find the factors of an algebraic expression that is given as:
x³ - 3x² - 10x
We would use the step of factorisation
Step 1
x(x² - 3x- 10)
The first factor of the algebraic expression has been obtained = x
Step 2
We factorise x² - 3x - 10
x² +2x - 5x - 10
(x²+2x) - (5x - 10)
x(x + 2) -5(x + 2)
(x + 2)(x - 5)
Step 3
x³ - 3x² - 10x
x(x² - 3x- 10)
(x)(x + 2)(x - 5)
Therefore, the factors of the algebraic expression are:
(x), (x + 2), (x - 5)
If the acute angle made by two intersecting lines l and m is 51° and image ABCD is reflected across the line l followed by a reflection across line m, then find the angle through which ABCD is rotated. Question 10 options: A) 25.5° B) 102° C) 26° D) 51°
Answer:
B) 102°
Step-by-step explanation:
Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.
In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.
PLEASE HELP ME! I BEG YOU! ILL EVEN GIVE BRAINLIEST!! HELP ASAP!!!
How many dimensions does a plane have?
Ο Α. Two
O B. Zero
O C. One
O D. Three
Answer:
2
Step-by-step explanation:
In mathematics, a plane is a flat, two-dimensional surface that extends infinitely far
How many dimensions does a plane have?
● Α. Two
O B. Zero
O C. One
O D. Three
Inside triangle ABC point O was drawn such that ∠OAB, ∠OBA, ∠OBC, and ∠OCA are all congruent. It is also true that ∠OAC and ∠OCB congruent. Find the angle measures in triangle ABC.
Answer:
m∠A = 60
m∠B = 60
m∠C = 60
Step-by-step explanation:
Please mark Branilest
30. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December. (1 point)
Which statement about the temperatures in Tucson must be true?
About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.
Answer:
About half of the days in December has average tempetare between 52 and 60 degrees
(SEE THE ATTACHMENT)
Step-by-step explanation:
See the box-and-whisker plot.
Median = 58
1st quartile (which is the median of all value below 58) = 52
2nd quartile (which is the median of all value above 58) = 60
From 1st quartile to median = Almost quarter of the values
From median to 2nd quartile = Almost quarter of the values
From 1st quatile to 2nd quartile = Almost half of the values
So
1st statement is wrong
2nd statement is correct
3rd statement is wrong (Coldest day was 49 degrees)
4rth statement is wrong (Hottest day was 68 degrees)
Three kids play tennis at the same tennis courts. Mark plays every fourth day, David plays every seventh day and Bryan plays every sixth day. All of them were at the tennis court on Wednesday, July 18th. What will be the next day, when all three of them will be at the court together?
Answer:
Wednesday (9 weeks later) = 10th October.
Step-by-step explanation:
We label the days with the initials of the names.
M= 4
D = 7
B = 6
LCM of 6 +7 = 42
LCM of 6+7 + 4 = 84
We find 84 is the amount of days we need to add on to july 18th
We first find the weeks 84/7 = 9 weeks.
As Wednesday July 18th is exclusive it would be 84 days after this event.
18+ 84 = 102 days.
31 days in july = 31
31 days in Aug = 31
30 days in Sept = 30
= 92
102-92 = 10
We now know date is Wednesday 10th October
We can check 84 days = 9 weeks
13 days in July makes 31st july
31 days in Aug makes 31st Aug
30 days in Sept makes 30th Sept
= 74 days + 10 days = 84
10th October is the checked date and we know it is also a Wednesday as Wednesday had stayed exclusive and prove that there are 7 days in the week to account x 9, to account for an exact 9 weeks later duration.
Answer:
Wednesday, October 10
Step-by-step explanation:
David play every 7 days, so since the first day is a Wednesday, David plays every Wednesday. We need to find the smallest common multiple of 4 and 6 that is also a multiple of 7. Since 4 * 3 = 12 and 6 * 2 = 12, we see that all multiples of 12 are also multiples of 4. We list the multiples of 12:
12, 24, 36, 48, 60, 72, 84, 96, ...
The smallest multiple of 12 that is a multiple of 7 is 84.
The first day all of them play together after July 18th is 84 days later.
84/7 = 12
We look in a calendar, and we see that exactly 12 weeks after July 18 is Wednesday, October 10.
Answer: Wednesday, October 10.
4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2
Answer:
8x^4 - 28x^3 + 4x^2.
Step-by-step explanation:
4x(2x^3 - 7x^2 + x)
= 4 * 2x^3 + 4x*-7x^2 + 4x*x
= 8x^4 - 28x^3 + 4x^2.
Answer:
8[tex]x^{4}[/tex]-28x³+4x²
Step-by-step explanation:
4x(2x³-7x²+x)=
8[tex]x^{4}[/tex]-28x³+4x²
2x³ × 4x = 8[tex]x^{4}[/tex]
7x² × 4x = 28x³
x × 4x = 4x²
The fabric for Isabella’s new dress is sold by the yard. The pattern for the dress requires 8 feet of fabric. How many yards of fabric does Isabella need to purchase if 1 yard is equal to 3 feet?
1 third yard
2 2 over 3 yards
6 yards
24 yards
Answer:
2 2/3 yd
Step-by-step explanation:
Let's convert from feet to yards. See how the feet cancel, because feet is in the denominator and the numerator?
8 ft x 1 yd/3 ft = 8/3 yd
As a mixed number:
8/3 = 2 2/3 yd of fabric
Which expression is equivalent to 3x + 6y?
Answer:
3x+6y =0
-6y
3x=-6y
x=-2y
Step-by-step explanation:
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle
Step-by-step explanation:
Explanation:
An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)
A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.
The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.
The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.
The precise statement of the conjectures:
Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..

Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.

Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.
Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.

Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.
Which is the graph of y=[x]-2?
Evaluate 3x for x = −2, x = 1, and x = 3. Question 18 options: A) 1∕3, 0, 9 B) 1∕9, 3, 27 C) 9, 3, 27 D) 1∕9, 9, 27
Answer:
D
Step-by-step explanation:
Took it on Ed but it might be different
Answer:
D
Step-by-step explanation:
I did the math :)
pls help i give brainliest and 5 stars
Answer:
r = 9 m
Step-by-step explanation:
The volume of a sphere is defined as:
[tex]V = \frac43 \pi r^3\\[/tex]
if this is equal to 972π, then r³ = 972 * 3/4
so r = ∛729 = 9
Answer:
The radius of sphere is 9m.
Step-by-step explanation:
Given that the formula of volume of sphere is V = 4/3×π×r³ and it is 972π m³. So you have to substitute the value into the formula, in order to find radius :
[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
Let V = 972π,
[tex]972\pi = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]972 = \frac{4}{3} {r}^{3} [/tex]
[tex]972 \div \frac{4}{3} = {r}^{3} [/tex]
[tex] {r}^{3} = 729[/tex]
[tex]r = \sqrt[3]{729} [/tex]
[tex]r = 9metres[/tex]
If f(x) = 5x, what is y(x)?
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
9x - 3y = -42 and -9x + 8y =22
Answer:
(-5 1/9, -4)
Step-by-step explanation:
Add the equations
5y=-20
y=-4
-9x+8(-4)=22
-9x-32=22
-9x=46
x= - 5 1/9
question 3 <><><><><><><><><><><>
Answer: C. none of the above
Step-by-step explanation:
Because you are dealing with a positive and a negative number here, the only way you would be able to get a positive number out of both would be if you squared both of the numbers in parentheses. (grab a calculator and try it if you have one)
(6)^2 and (-6)^2 both give you 36.
And, 6)^3 and (-6)^3 both give you 216.
But, because there are no parentheses in the equation, then the answers would be different, so the correct answer is none of the above.
A rectangular garden has a length of x + 2 ft. and a width of x + 8 ft. What must x be in order for the garden to have an area of 91 sq. ft.?
Answer:
x=5
Step-by-step explanation:
5+2=7
5+8=13
13*7=91
Answer: 5 ft
Step-by-step explanation:
Our equation can be (x + 8)(x + 2) = 91. Now we solve:
(x + 8)(x + 2) = 91
x^2 + 2x + 8x + 16 = 91 expand
x^2 + 10x + 16 = 91 simplify
x^2 + 10x - 75 = 0 subtract 91 from both sides
(x + 15)(x - 5) = 0 factor
x + 15 = 0 x - 5 = 0
x [tex]\neq \\[/tex] -15 x = 5
x can't equal -15 because you cannot have negative feet, so x = 5 feet
