Answer:
320/420 = 4/3
Step-by-step explanation:
4/7= x /560
Cross multiply
7x = 2240
Divide by 7:
x=320
The school has 320 boys and 240 girls
I hope this helps u:)
Answer:
Problem(1): [tex]21[/tex]
Problem(2): Side length = [tex]\frac{1}{4}[/tex] Area = [tex]\frac{1}{16}[/tex]
Problem(3): Boys = [tex]320[/tex] Girls = [tex]240[/tex]
Step-by-step explanation:
(Notes steps are cut from this answer so that it isn't too long)
1. Problem (1)
One is given the following information:
[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.
[tex]x+\frac{1}{x}=5[/tex]
Multiply the entire equation by (x),
[tex]x^2+1=5x[/tex]
Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,
[tex]ax^2+bx+c=0[/tex]
Put the given equation in this format,
[tex]x^2-5x+1=0[/tex]
Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,
[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]
Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
Simplify,
[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]
[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]
Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,
[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex] [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]
[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]
Convert to a common denominator,
[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex] [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]
[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex] [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]
Simplify,
[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex] [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]
[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex] [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]
[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex] [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]
[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex] [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]
[tex]21[/tex]
2. Problem (2)
All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,
[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]
The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:
[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]
3. Problem (3)
Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,
[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]
Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,
Boys, Girls,
[tex]4(x)[/tex] [tex]3(x)[/tex]
[tex]4(80)[/tex] [tex]3(80)[/tex]
[tex]320[/tex] [tex]240[/tex]
(1.2E-3) x (4.6E-1) =
Answer:
0.0012*x*0.46
Step-by-step explanation:
solve for y 7y-3y=8
plzzzz answer
will give brainliest!!!!
Answer:
Step-by-step explanation:
7y-3y= 4y
4y=8
Here when its like this we need y by itself, so you take out 4 by dividing 8 by 4.
y= 2
26. September 9, 1981 (9/9/81) was a square-root year date because both the
month and the day are square roots of the last two digits of the year.
How many square-root dates will there be during the 21st century?
Answer:
Step-by-step explanation:
A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100
It will be 10 square root dates.
solve for X...........
Answer: First Choice. no solution
Step-by-step explanation:
Given
5 (x + 1) ≤ 5x + 3
Expand parentheses and apply the distributive property
5x + 5 ≤ 5x + 3
Subtract 5x on both sides
5x + 5 - 5x ≤ 5x + 3 - 5x
5 ≤ 3
5 ≤ 3 is not true, therefore, there is no solution.
Hope this helps!! :)
Please let me know if you have any questions
What is 50x30 I really need to know
Answer:
1500
Step-by-step explanation:
Basically 5*3 then add the two zeroes. One from 50 and 30.
Martin spent $300 from his savings account on a new bike. He also deposited $300 in his savings account that he earned from selling his used textbooks. Which integer represents the change in Martin's savings? A) $100 B $0
C. -100$ D. -$200
Answer:
B
Step-by-step explanation:
a money account works in the same way as real things we can touch.
so, when I have 300 apples at a place (e.g. a grocery store), then I take away 300 apples, and then put again 300 apples there - how many apples will be there at that moment ?
we had 300 and took away 300.
300 - 300 = 0
at that moment we have 0 apples.
but then we put again 300 apples there.
0 + 300 = 300
so, we end up with 300 apples. the same number we started with.
and the same way for the savings account.
he takes out $300.
that means he has now $300 less on his account.
and then he adds $300.
so, he added exactly the same amount as he took out earlier, which means nothing else than that he undid his earlier action regarding his bank account.
so, his balance is now exactly the same as before he did the first transaction.
therefore the change is exactly : $0
i did the first part already but i dont get the second one
Answer:
c = 275n
Step-by-step explanation:
It's saying what is the rule, which would be 275 dollars per arce. Now, put that into an equation: c = 275n
2. Discounts - You go to the store the next day and the $28.62 shirt is on sale for 15%
off, how much is the shirt before tax?
Answer:
a = 15 /100 * 28.62 = 4293 /1000
= 4.293
Hope this helps! :)
f(x) = (x + 1)(x - 5). What is the vertex?
(1,5)
(5.1)
(2.-9)
(-9,2)
Answer:
(2, -9)
Step-by-step explanation:
f(x) = (x + 1)(x - 5)
[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]
[tex] = f(x) = {x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]
[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]
= a = 1, b = -4
[tex] = x = \frac{ - 4}{2 \times 1} [/tex]
[tex] = x = - \frac{ - 4}{2} [/tex]
[tex] = x - ( - 2)[/tex]
[tex] = x = 2[/tex]
= f(x) = (x + 1) x (x - 5); x = 2
= f(2) = -9
= (2, -9)
find the distance between each pair of points (-1,4) and (1,-1)
Answer:
4.5
Step-by-step explanation:
find the difference,square them,add and find the square root
-1-1=-2
4-(-1)=4
2^2+4^2=4+16
=20
square root of 20=4.5(2dp)
1-16 Please helppppp
please help me for my homework
what is the answer to 15 and 18? pls help it will mean a lot:)
Answer and Step-by-step explanation:
15. [tex]-\frac{27}{20}[/tex] or [tex]-1\frac{7}{20}[/tex]
-1.35 = -135/100 = [tex]-1\frac{35}{100}[/tex] (Mixed number)
Multiply the number by 100, then divide the number by 100 (but keep it in fraction form).
-1.35 x 100 = -135
[tex]-\frac{135}{100}[/tex] = [tex]-\frac{27}{20}[/tex]
(Mixed Fraction = . To check, multiply the 20 by the 1, then add 7, to get -27/20)
18. [tex]\frac{49}{11}[/tex] or [tex]4\frac{5}{11}[/tex]
4.45 = 49/11 = [tex]4\frac{5}{11}[/tex]
4.4545.....
Multiply the number by 100 (because there is 2 numbers being repeated.
445.4545....
Now subtract by the original number.
445.4545....
- 4.4545....
441.00
Write this as an equation:
(100 x fraction) - fraction = 441 (100 x fraction) - fraction = 99 x fraction
99 x fraction = 441 (Divide both sides by 99)
fraction = [tex]\frac{441}{99}[/tex] (which simplifies down to [tex]\frac{49}{11}[/tex])
#teamtrees #PAW (Plant And Water)
I need help with this problem please explain it good cause I'm rlly confused on how to do like I know how to solve the actual equations like ik how to get -7 and 12 but I don't know how to answer it if that makes sense
Answer:
The correct choice is option B. -7 ≤ x < 12
Step-by-step explanation:
WILL.MARK BRAINLEST. ( The length of a rectangular garden is 5m longer than its breadth .If its perimeter is 150 m,find the area of the garden ) step by step
Answer:
1400m^2
Step-by-step explanation:
Solution,
Let the breadth of the rectangle be x m, then the length of the rectangle will be x+5 m,
Now,
Perimeter of the rectangle=2(l+b)
150=2(x+5+x)
150=2(2x+5)
150=4x+10
150-10=4x
140=4x
140/4=x
35=x
So, the breadth of the rectangle=35 m
and length=(35+5)m=40m
Again,
Area of the rectangle=l×b
=40m×35m
=1400 m^2
I hope it helped U
stay safe stay happy
Answer: Area= 1400[tex]meter^{2}[/tex]
Step-by-step explanation:
ok so we can assume the
breadth=X
so, length = X+5 (because the length is 5 meters more than the breadth)
perimeter= 150 meters
the formula of the perimeter of a rectangle = 2 x ( Length + Breadth)
so now if we put the values,
2 * ( X+5 +X) = 150 ( because 150 is the perimeter)
2 * (2X + 5) = 150 (the value became 2x because when we add two variables with the same value it will be written as 2(any variable)).
now we multiply 2 with both sides
so ( 2 * 2X) + (2 * 5)
hence, 4X + 10 = 150
now we will solve the equation,
4X= 150 -10 (because we did transposal the signs will change from "+" to "-")
4x= 140
again with the transposal (when we write a number with a variable it shows that it means the number multiplied by the variable in this case it is 4 multiplied by X ) so when we transpose we will have to divide because multiplication turns into division while transposing
so now,
X= 140÷4
which is equal to 35
so finally X = 35
so as we have written in the beginning breadth= X
and LENGTH= X+5
so now we have found X
BREADTH= 35
LENGTH= 40 (because 35+5 is 40)
now we have to find area the formula for finding the area is LENGTH×BREADTH
so, 40 × 35 = 1400
now we put the unit which is square meters also known as [tex]m^{2}[/tex]
so there is your final answer 1400[tex]m^{2}[/tex]
Which of the following numbers is irrational?
OA) -7.8 repeating
OB) 25
OC) 25.8125
OD 0.025
Answer:
OA) -7.8 repeating... is irrational number
Step-by-step explanation:
I. Repeating Decimal is on of irrational number
II. Pie.value is also irrational number, but in computer science, we can find pie value with the quantum computer.
Hello!
Im beginning year 11 this year and I recently did really bad in my Mocks! I really need some help and advice for all of my subjects because I truly dont know how to revise effectively and because I keep Procrastinating!
Any advice would be appreciated or if u have links to videos and helpful websites I would appreciate it
Here are my results :
Maths : 4
Eng Language : 4
Eng Lit : 4
Chemistry : 4
Physics : 3
Biology : 3
RE: 4
Health and Social care : Level 2 Pass
History : 4
Food Tech : 4
Spanish : 4
Thank u!
Answer:
if you need help with some subjects you can come here in brainly it helps me a lot i just started grad 6 so yeah
like if you have a math question just go to ask question you and someone will help
and also explain so yeah hope i helped a littleFind the distance between the ponits.
(-3, -6) and (3, x6)
Help please
Step-by-step explanation:
Hey there!
The given points are: (-3,-6) and (3,-6).
x 1 = -3 y1 = -6
x 2 = 3 y2 = -6
Use distance formula;
[tex]d = \sqrt{( {x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Keep all the values;
[tex]d = \sqrt{( {3 - ( - 3))}^{2} + ( { - 6 - ( - 6))}^{2} } [/tex]
Simplify:
[tex]d = \sqrt{ {(6)}^{2} + {( - 6 + 6)}^{2} } [/tex]
[tex]d = \sqrt{ {(6)}^{2} } [/tex]
Therefore, the distance is 6 units.
Hope it helps!
Construct 45° by using set square
Place 45
∘
set-square and make an angle of 45
∘
by drawing the rays BD and BC
Drag the numbers below to put them in order from least to greatest:
2.2
2.291 2.27% 2.14 2.26 2.221
Wats the answer?
5x + 2) mize
2.
P has coordinates (2, 4). Q has coordinates (-10, 12). Find the midpoint of PQ.
122
Natasha's rectangle measures 4 1/2 units by 2 1/4 units. What is its area?
Answer:
Answer: 49/6units^{2}49/6units
2
Step-by-step explanation:
You can convert from mixed number to fractions as following:
2 1/3=((2*3)+1)/3=7/3 units
3 1/2=((3*2)+1)/2=7/2 units
Then you can calculate the area of the rectangle as you can see below:
\begin{gathered}Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}\end{gathered}
Area=lenght∗width
Area=7/2units∗7/3units
Area=49/6units
2
Answer:
[tex]10\frac{1}{8}[/tex]
Step-by-step explanation:
→ Multiply the fractions together
[tex]4\frac{1}{2} *2\frac{1}{4}[/tex]
→ Convert to improper fractions
[tex]\frac{9}{2} *\frac{9}{4}[/tex]
→ Multiply across
[tex]\frac{81}{8}[/tex]
→ Convert back to mixed number
[tex]10\frac{1}{8}[/tex]
kiara starts with k marbles iin her collection. she loses 16
Answer:
Answer: k - 16
Step-by-step explanation:
If she looses, it becomes less or smaller. Subtraction produces that result. K is a fairly large number. 16 is much smaller. So she has K - 16 left.
K - 16
23. The table shows the number of hours a group of friends
worked doing various jobs and the amount each earned.
Select the correct hourly rate to complete the table. Then
place a checkmark in the row for the person who had the
greatest hourly rate.
Hours
Amount Earnings Greatest
Worked Earned (s) per hour ($) Hourly Rate?
36.25
Caleb
5
Jeremy
7.5
65.25
Maria
4.25
34.00
Rosa
8
54.00
I NEED HELP RN PLEASEE need part 1 and 2 plz asap
Answer:
A. 2+6+10+14+18+22+26+30+34+38
B. 6+18+54+162+486+1458+4374+13122+39366+118098
Step-by-step explanation:
I. In A. you can see 2 is plus by 4 = 6
6 is plus by 4 = 10
... is plus by 4 ...
So the term was plus by 4
II. In B. you can see 6 is multiply by 3 = 18
18 is multiply by 3 = 54
... is multiply by 3 ...
So the term was multiply by 3
Leave comment if you're curious.
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
O A. 360°
• B. 180°
• C. 270°
O D. 90°
Answer:
B. 180 degrees
Step-by-step explanation:
They are exactly across from one another. Here, this will make more sense.
0 (starting point)
|
270-- -- 90
|
180 (where you ended up)
Now till the screen towards the right. The zero and the 180 should be pointing in the same direction as the squares.
Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
What is rotation in graph?In geometry, a transformation is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.
According to the question
ABCD is rotated counterclockwise about the origin.
Degrees was ABCD transformed to form A'B'C'D' is
180 degrees about the origin
As when we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.
So, as per figure ABCD which is in first quadrant were x and y both are positive and figure A'B'C'D' third quadrant were x and y both are negative.
Hence, Degrees was ABCD rotated or transformed to form A'B'C'D' is 180 degrees about the origin .
To know more about rotation in graph here:
https://brainly.com/question/12091224
#SPJ2
solve the question pls
Answer:
[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]
Show work please
[tex] \sqrt{ \frac{45}{5} } [/tex]
Answer: 3
Step-by-step explanation:
[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]
Answer:
3
Step-by-step explanation:
We don't really need to simplify this, but if you do:
45/5 is the same as 45 ÷ 5 so
45/5 = 9
Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.
For this you can use a calculator:
[tex]\sqrt{\frac{45}{5} }[/tex] = 3
or
[tex]\sqrt{9}[/tex] = 3
What is the relationship between the number of sides in a regular polygon and
number of lines of symmetry?
Answer:
Divide 360 by the difference of the angle and 180 degrees. For example, 360 divided by 15 equals 24, which is the number of sides of the polygon. Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon.
If a1=1. And r=1/5 find a8
Answer:
a₈ = [tex]\frac{1}{78125}[/tex]
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
Here a₁ = 1 and r = [tex]\frac{1}{5}[/tex] , then
a₈ = 1 × [tex](\frac{1}{5}) ^{7}[/tex] = 1 × [tex]\frac{1}{78125}[/tex] = [tex]\frac{1}{78125}[/tex]