Answer:
There are 240 boys.
Step-by-step explanation:
There are five boys to every three girls in an introductory Chinese course. Given that there are 384 students enrolled in total, we want to determine the amount of students which are boys.
Let b represent the number of boys and g girls.
Since the ratio is 5:3, we can write that:
[tex]\displaystyle \frac{5}{3} = \frac{b}{g}[/tex]
And since the total number of students is 384:
[tex]b + g = 384[/tex]
From the first equation, cross-multiply:
[tex]5g = 3b[/tex]
Solve for g:
[tex]\displaystyle g = \frac{3}{5} b[/tex]
Substitute:
[tex]\displaystyle b + \left (\frac{3}{5} b\right) = 384[/tex]
Simplify:
[tex]\displaystyle \frac{8}{5} b = 384[/tex]
Solve for b:
[tex]\displaystyle b = \frac{5}{8}\left(384\right) = 240[/tex]
In conclusion, 240 of the total students are boys.
53 x(41 x 11) = (53 x 41) x 11
A. True
B. False
Step-by-step explanation:
As it holds Associative property..
So, it's correct
Answer:
TRUE
Step-by-step explanation:
Associative property of multiplication
11,632 rounded to the nearest thousand
Answer:
12000
Step-by-step explanation:
Check the hundreds digit if greater Han 5 increase the thousands digit by 1 and change the other digits to 0
Answer:
that is what I got as my answer
In the Cartesian coordinate system, which coordinate point represents the location of the
origin?
A. (0, 1)
B.(0, 0)
C.(1.O)
D.(1, 1)
Answer:
(0, 0)
Step-by-step explanation:
Each reference line is called a coordinate axis or just axis (plural axes) of the system, and the point where they meet is its origin, at ordered pair (0, 0).
is a graph with asymptotes discontinious?
Answer:
In order for the function to be discontinuous at an asymptote, the curve needs to exist on both sides of the asymptote. If the curve only exists on one side of the asymptote, then there's no discontinuity at that point.
Step-by-step explanation:
Help meeee pleaseeee
Answer:
Hello I'm sorry but I have a question and I have to give ans and I can ask my question
State the gradient of the line perpendicular to the line y = 3x - 2.
Answer:
Step-by-step explanation:
y = 3x - 2
Slope of line is 3.
Slope of any perpendicular to the line is -⅓.
Help ASP!
What is the unknown exponent to the 10?
50 X 8,000 = 4 x 10
Answer:
40
Step-by-step explanation:
i need point so i am writing this sentence you have to do 4 times 10 (4×10) it is 40
Which statement best describes the relationship between the two figures?
Answer:
The congruency of triangle is the statement that describes the relationship between two figures Step-by-step explanation:
PLZZZ HELP ME
Solve the equation and check your solution.
1. 3(x+6)=18+3x
2. -2(x-1)=2-2x
3. x+4=-2+x
4. -2(x+2)=5-2x
Answer:
1. 0
2.0
3.2
4.1
Step-by-step explanation:
1.3x+18
2.-2x+2
3.x-x+4-2
5-2x-2+5-2x
Answer:
3x + 18 = 18 + 3x-2x + 2 = 2 - 2x4 = -2 (the statement is false)-4 = 5 (the statement is false)plz with steps .. it's very hard can anyone plz
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\frac{0}{0} \\\\we\ can \ use\ Hospital's\ Rule\\\\\\f(x)=\sqrt{2x}-\sqrt{3x-a} \qquad f'(x)=\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} \\\\g(x)=\sqrt{x} -\sqrt{a} \qquad g'(x)=\dfrac{1}{2\sqrt{x}} \\\\\\\displaystyle\ \lim_{n \to a} \dfrac{\sqrt{2x}-\sqrt{3x-a} }{\sqrt{x}-\sqrt{a}} =\lim_{n \to a} \dfrac{\dfrac{2}{2*\sqrt{2x}} -\dfrac{3}{2*\sqrt{3x-a}} }{\dfrac{1}{2\sqrt{x}} }\\\\[/tex]
[tex]\displaystyle \lim_{n \to a} \dfrac{2\sqrt{x} }{\sqrt{2x}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}} =\lim_{n \to a} \dfrac{2 }{\sqrt{2}} -\dfrac{3*\sqrt{x} }{\sqrt{3x-a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3*\sqrt{a} }{\sqrt{2a}}\\\\\\=\dfrac{2}{\sqrt{2}} -\dfrac{3}{\sqrt{2}}\\\\\\=-\ \dfrac{1}{\sqrt{2}}\\\\[/tex]
A one day visit to Dollywood in Tennessee’s Smoky Mountains cost $56 for an adult and $45 for a child. Find the cost admission for two adults and four children.
a.) $101
b.) $112
c.) $292
d.) $314
Answer:
$56×2=$112 and $45×4=$180 so $112+$180= $291
7/9+6/8+6/3=
I really need the answer
Answer:
[tex]\frac{1}{30}[/tex]
Step-by-step explanation:
Take it in steps. First, find 7/9+6. Then we'll find 8+6/3, and, finally, we'll divide the two answers.
1:
7/9+6 = 7/15
2:
8+6/3 = 14/3
3:
[tex]\frac{\frac{7}{15}}{\frac{14}{3}}[/tex] or [tex]\frac{7/15}{14/3}[/tex]
Then take that in chunks: 7/14 and 15/3.
7/14 = 1/2
15/3 = 5/1
Use those to rewrite it as [tex]\frac{1/5}{2/3}[/tex].
1/5 = .2
2/3 ≈ .6667 so we'll keep writing it as 2/3
[tex]\frac{\frac{.2}{2}}{3}[/tex]
.2/2 = .1, so:
[tex]\frac{.1}{3}[/tex] = [tex]\frac{1}{30}[/tex]
what is the equivalent ratio of 24 to 6
Answer:
1/4
Step-by-step explanation:
24/6
4
4+4+4+4+4+4
Let f(x)=x^3+3 and g(x) = 2x^2 + 2x +1. What is g(f(-2))?
Answer:
41
Step-by-step explanation:
This composite function can be easily solved
First solve f(-2)
f(-2)=(-2)³+3
f(-2)=-8+3=-5
Now plug -5 for x in function g(x)
=2(-5)²+2(-5)+1
=50-10+1
=41
9514 1404 393
Answer:
41
Step-by-step explanation:
g(f(-2)) = g((-2)³ +3) = g(-8+3) = g(-5)
= 2(-5)² +2(-5) +1 = 50 -10 +1
g(f(-2)) = 41
Find x- and y- intercepts given the following representation
Step-by-step explanation:
x intercept is 1
y intercept is 2
Hope it helps
3) Find the range of the function.
f(x) = -x2 - 5
A) [5,-)
B) (-0,5]
[-5,-)
D) (--, -5]
Answer:
Range is (0, -5)
Step-by-step explanation:
[tex]{ \sf{f(x) = - {x}^{2} - 5}}[/tex]
when x is 0:
[tex]{ \sf{f(0) = - 5}}[/tex]
What is the area of a square whose
diagonal is 14cm
Answer:
98 [tex]cm^{2}[/tex]
Step-by-step explanation:
The formula for the area of a square when given the diagonal is:
A = [tex]\frac{1}{2}[/tex] [tex]d^{2}[/tex] Where d is the value of the diagonal so it becomes:
0.5 × 14 × 14
This is equal to 98 [tex]cm^{2}[/tex].
HOPE THIS HELPED
please help 10 points for the question i dont know why but my brain cannot compute this question
9514 1404 393
Answer:
(b) 6^10/7^6
Step-by-step explanation:
The applicable rules of exponents are ...
(a/b)^c = (a^c)/(b^c)
(a^b)^c = a^(bc)
__
This means you have ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\dfrac{(6^5)^2}{(7^3)^2}=\dfrac{6^{5\cdot2}}{7^{3\cdot2}}=\boxed{\dfrac{6^{10}}{7^6}}[/tex]
__
Additional comment
I find it helpful to remember that an exponent signifies repeated multiplication. Then ...
[tex]\left(\dfrac{6^5}{7^3}\right)^2=\left(\dfrac{6^5}{7^3}\right)\cdot\left(\dfrac{6^5}{7^3}\right)=\dfrac{6^5\cdot6^5}{7^3\cdot7^3}=\dfrac{6^{5+5}}{7^{3+3}}=\dfrac{6^{10}}{7^6}[/tex]
the volume of the cone is given by the formula V = 1/3 pie r^2 h, where r is the radius of the base and h is the height of the cone. based on this formula, whatis the height, h, of the cone in terms of the volume and height
answer is h=3v/pie r^2. need help with showing work
9514 1404 393
Answer:
h = 3V/(πr²)
Step-by-step explanation:
The formula can be solved for h by multiplying both sides by the inverse of the coefficient of h.
[tex]V=\dfrac{1}{3}\pi r^2h=\dfrac{\pi r^2}{3}h\\\\(\dfrac{3}{\pi r^2})V=(\dfrac{3}{\pi r^2})(\dfrac{\pi r^2}{3})h\\\\\boxed{\dfrac{3V}{\pi r^2}=h}[/tex]
_____
Additional comment
Whenever a variable has a coefficient you don't want, you can make that be 1 by multiplying the equation by the inverse of the coefficient. This is the same as dividing by the coefficient. This makes use of the fact that for any non-zero 'a', the ratio a/a has a value of 1. Anything multiplied by 1 is unchanged.
V = ah ⇒ V/a = (ah)/a = h(a/a) = h·1 = h
Note that we multiply the whole equation (both sides of the equal sign) by 1/a. The basic rule of equality is that you can do whatever you like to an equation, as long as you do it to both sides.
Please help i will give brainly
Answer:
147/20,7+2/5,7.407,7.41.
Step-by-step explanation:
147/20=7.35.
7+2/5=7.4.
7.407>7.4.
7.41>7.407.
Side note:
I changed everything into decimal form.
I need help with math please here is a photo
Is the function given by f(x)=3x-2 continuous at x=5?
Answer:
Yes the function is continuous f(5) = 13
Step-by-step explanation:
Replace the variable x with 5 in the expression
Simlify the results
f(5) = 3(5)-3
f(5) = 15=3
f(5) = 13
Plotting on a graph gives a coninous line with a positive gradient
y intercept (0,-2)
Please view the attached graph
A 45° angle is complementary to angle x. Which of the following equations represents this situation?
Step-by-step explanation:
A 45° angle is complementary to angle
45°+x°=90°
I hope it helped U
stay safe stay happy
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW
Answer:
VW = 6
Step-by-step explanation:
To find x, set up the following equation:
(5x - 4) + (2x) = 5x
Solve out left side
7x - 4 = 5x
Subtract 5x from both sides
2x - 4 = 0
Add 4 to both sides
2x = 4
Divide both sides by 2
x = 2
Plug into 5x - 4
5(2) - 4
10 - 4
6
Answer:
6
Step-by-step explanation:
5x - 4 + 2x = 5x
7x - 4 = 5x
-4 = -2x
2 = x
5(2) - 4
10 - 4
6
em 4
A homeowner is deciding on the size of tiles to use to fully tile a rectangular wall in her bathroom
that is 80 inches by 40 inches. The tiles are squares and come in three side lengths: 8 inches, 4
inches, and 2 inches. State if you agree with each statement about the tiles. Explain your
reasoning
1. Regardless of the size she chooses, she will need the same number of tiles.
2. Regardless of the size she chooses, the area of the wall that is being tiled is the same.
3. She will need two 2-inch tiles to cover the same area as one 4-inch tile.
4. She will need four 4-inch tiles to cover the same area as one 8-inch tile.
5. If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch
tiles.
(From Unit 1, Lesson 2.)
Kandall Hunt
Illustrative
No
Answer:
its either 2 or 4
Step-by-step explanation:
HW #3 review
I will give brainliest to whoever gets it right
Hi there!
The numbers you have written there are correct.
[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.
When a number is less than 0, we know that it has to be negative.
However, it cannot be more negative than -5. It cannot be -5 either.
So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.
I hope this helps!
Find all the factors of 21.
Order the factors from least to greatest.
[?] [] [] []
Enter the number that
belongs in the green box.
hs
The number 21 has 4 factors.
6(10+5)=6•10+6•5 true or false
Answer:
true, I hope this will help.
[tex]\boxed{\underline{\bf \: True}}[/tex]
Step-by-step explanation:[tex] \sf \: 6(10 + 5) = 6•10 + 6•5 [/tex]
Check with LHS = RHS rule method.
LHS
[tex]\sf6(10 + 5) \\ \sf = 6(15) \\ \sf = 6 \times 15 \\ \bf = 90[/tex]
RHS
[tex]\sf6•10 + 6•5 \\ \sf = 60 + 30 \\ \bf= 90[/tex]
We can see that both LHS & RHS give [tex]\boxed{\underline{\bf \: 90}}[/tex]as the solution. LHS = RHS. Hence proved.
Answer -> [tex]\boxed{\underline{\bf \: True}}[/tex]
_______________
Hope it helps.
RainbowSalt2222
how do i convert mixed frations into improper fractions\
Answer:
how to convert
Step-by-step explanation:
To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have. This method works for all mixed numbers
Answer:
Change the whole numbers
Step-by-step explanation:
For example
5 3/6
A whole number written as a fraction for this problem is 6/6.
If the problem was 7 4/9, it would 9/9
I'd the problem was 2 3/4, it would be 4/4.
So basically a whole number written as a fraction is when both the top and bottom number are the same. when divide by each other they equal one. 6 divided by 6 is 1, 9 divided by 9 is 1, 4 divide by 4 is 1.
First
Turn 5 3/6 into 5/1 + 3/6
Now add them to together
To add fractions together they have to have the same denominator or bottom number.
What is a number 1 and 6 have in common ?
6 because 1 can be multiplied with any number but 6 can never be multiplied to create 1.
5 is simple 5 whole numbers
so 5/1 × 6/6= 30/6
30/6 + 3/6 = 33/6
now it's an improper faction. There is no whole number, it been converted into a fraction where the top is bigger than the bottom hence why it is improper
What is the solution set to the following equation?
Answer:
3,6
Step-by-step explanation: