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.
Help meeeeeeeeeeeeeeeee
Answer:
x-3
Step-by-step explanation:
the inverse is x-3
this is the answer
75 is what percent of 96?
please help i added 39 points :) but i dont understand this so yeah
Answer:
3 - 5 - 7 - 11 - 12Step-by-step explanation:
Given data:
3, 5, 5, 6, 6, 8, 9, 11, 11, 12The 5-number summary is:
Q1 = minimum of data = 3Q2 = median of lower half = 5Q3 = median of data = (6 + 8)/2 = 7Q4 = median of upper half = 11Q5 = maximum of data = 12BRAINIEST TO WHOEVER RIGHT
What is the quotient of 7.584 x 10^9 and 7.9 x 10^ 2 expressed in scientific notation?
Answer:
9.6 × 10 6
Step-by-step explanation:
(7.584 × ) ÷ (7.9 × 10²)
This gives;
× = 0.96 ×
Simplifying further gives;
9.6 × = 9.6 ×
Use the rule for order of operations to simplify the expression as much as possible:
22−2(9⋅2−8)
help me plz now plz help me asap
[tex]\\ \sf\longmapsto 0.49=\dfrac{49}{100}[/tex]
[tex]\\ \sf\longmapsto 0.093=\dfrac{93}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.021=\dfrac{21}{1000}[/tex]
[tex]\\ \sf\longmapsto 0.103=\dfrac{103}{1000}[/tex]
Tom works at a car dealership selling cars. If he makes $4000 a month and $250 per car he sells, how much did he
make in July if he sold 12 cars? In August he made $6500, how many cars did he sell?
Answer:
Answer = he made 7,000 in July and sold 10 cars in august.
Step-by-step explanation:
Solve UW. how do I get the answer?
Answer:
UW = 67
Step-by-step explanation:
UW = 6x - 35
VW = 4x - 20
UV = 19
So that means
4x - 20 + 19 = 6x - 35
4x - 1 = 6x - 35
-1 = 2x - 35
34 = 2x
x = 17
6(17) - 35
102 - 35 = 67
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
19 + ( 4x - 20 ) = 6x - 35
4x - 1 = 6x - 35
2x = 34
x = 17
UW = 6(17) - 35 = 67
Is quadrilateral DEFG a parallelogram? Why or why not?
Question 2 options:
A)
Yes, because adjacent angles aren't supplementary.
B)
No, because adjacent angles aren't congruent.
C)
There isn't enough information.
D)
Yes, because opposite angles are congruent.
Answer:
D ig?
Step-by-step explanation:
Because opposite angles are equal in parallelogram
Does anyone know this and can help please
Answer:
[tex]\frac{y^7z^3}{x}[/tex]
Step-by-step explanation:
When variables have negative exponents, switch their positions.
[tex]\frac{x^{-1}y^7}{z^{-3}}=\frac{y^7z^3}{x}[/tex]
The vertical side of a right triangle measures 6 inches, and the horizontal side measures 8 inches
1.Write the ratio of the distance of the vertical side to the distance of the horizontal side as a reduced fraction
2.If the original triangle were enlarged by 3 times, what would the new dimensions be?
3.Does the ratio of vertical side to horizontal side change when scaling up? Explain.
9514 1404 393
Answer:
3/4vertical: 18 in; horizontal: 24 inno changeStep-by-step explanation:
1. The ratio is ...
(6 in)/(8 in) = 6/8 = 3/4
__
2. The scaled dimensions are ...
6 in × 3 = 18 in (vertical side)
8 in × 3 = 24 in (horizontal side)
__
3. You know from your process of reducing the fraction in part 1 that multiplying numerator and denominator by the same value does not change the reduced ratio.
Two trains leave towns 1285 kilometers apart at the same time and traveled towards each other. One train travels 17 km/h faster than the other. If they meet in 5 hours what is the rate of each train
Distance = (Rate)(Time)
Let x = speed of slower train
x + 17 = speed of faster train
The trains meet when the sum of the distances = 1285
5x + 5(x+17) = 1285
(5 came from 5 hours)
10x + 85 = 1285
10x = 1200
x = 120 mph
The speeds are 120 mph and 137 mph
wyzant
express
[tex](4 - x) {}^{ \frac{1}{2} } [/tex]
in ascending power of x up to term x²
Answer:
Step-by-step explanation:
Remember:
[tex]\boxed{(1+y)^{\frac{1}{2} }= 1+\dfrac{y}{2} -\dfrac{y^2}{2*4} +\dfrac{1*3*y^3}{2*4*6} +K\ with -1 < y \leq 1 }\\\\\\Let\ say\ 4-x=1+y\ or\ y=3-x\\\\\\(4-x)^{\frac{1}{2} }=1+\dfrac{3-x}{2} -\dfrac{(3-x)^2}{2*4} +K\ with\ 2\leq x <4\\\\=\dfrac{29}{8} -\dfrac{5x}{4} +\dfrac{x^2}{8} +K\\[/tex]
Can someone help me with this question?
Answer:
1. Y
2. YX , YZ
3. X
4. XZ
Find the coordinates of the point 7/10 of the way from A to B A -3,-7 B 11,4
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Answer:
(6.8, 0.7)
Step-by-step explanation:
That point is ...
A + (7/10)(B -A)
= (-3, -7) +(7/10)(11 -(-3), 4 -(-7)) = (-3, -7) +7/10(14, 11)
= (-3, -7) +(9.8, 7.7) = (6.8, 0.7)
The point 7/10 from A to B is (6.8, 0.7).
Which expression is another way to write 10,000?
10 × 10 × 10
10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10
10 × 10 × 10 × 10 × 10 × 10
Answer:
it's the second one
Step-by-step explanation:
the number of zeros behind the first number is the amount of tens! hope it helps!
-1/3 - (-1/2) plz help I am confused
Answer:
[tex] \frac{ - 1}{3} - ( - \frac{1}{2} ) \\ \frac{ - 1}{3} + \frac{1}{2} ( - \times - = + ) \\ = \frac{ - 2 + 3}{6} \\ = \frac{1}{6} \\ thank \: you[/tex]
Answer:
[tex] \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} - ( - \frac{1}{2} )[/tex]
[tex] - \frac{1}{3} + \frac{1}{2} [/tex]
[tex] \frac{ - 2 + 3}{ 6} [/tex]
[tex] = \frac{1}{6} [/tex]
If f(x)=2x-1and g(x)=x^2-3x-2,find( f+g)(x)
Answer:
[tex](f+g)(x)=x^2-x-3[/tex]
Step-by-step explanation:
We have [tex]f(x)=2x-1[/tex] and [tex]g(x)=x^2-3x-2[/tex]
Recall that [tex]f+g[/tex] is defined by [tex](f+g)(x)=f(x)+g(x)[/tex], therefore
[tex](f+g)(x)=f(x)+g(x)=2x-1+x^2-3x-2=x^2-x-3[/tex]
the result of a multiplication of two or more
terms
Answer:
ProductStep-by-step explanation:
Product is the result of a multiplication of two or more terms.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
B=Product
C=polynominal
D=distirbutive property
Step-by-step explanation:
Subtract. Write your answer in simplest form.
5/- 10/5
Answer:
-1/10
Step-by-step explanation:
(5/(-10))/5 = -(5/10)/5 = 1/10
(Hopefully this helped you out!)
19. The product of two numbers is 120 and the sum of their squares is 289. The sum of the number is (a) 20 (b) 23 (c) 169 (d) None of these
Answer:
B
Step-by-step explanation:
Let the two numbers be a and b.
The product of the two is 120 and their sum of their squares is 289. In other words:
[tex]\displaystyle ab = 120 \text{ and } a^2 + b^2 = 289[/tex]
And we want to find the sum of the two numbers.
We can use the perfect square trinomial. Recall that:
[tex]a^2 + 2ab + b^2 = (a+b)^2[/tex]
From the first equation, multiply by two:
[tex]2ab = 240[/tex]
Add the two equations together:
[tex](a^2+b^2)+(2ab) = (289)+(240)[/tex]
Simplify and rewrite:
[tex]a^2+2ab+b^2 = 529[/tex]
Factor using the perfect square trinomial pattern:
[tex](a+b)^2 = 529[/tex]
And take the square root of both sides:
[tex]\displaystyle a + b = \pm\sqrt{529} = \pm23[/tex]
Hence, the sum of the two numbers is 23 or -23.
In conclusion, our answer is B.
Can we please have some help
Combine like terms and write the simplified
Answer:
4x-3 16t-4
Step-by-step explanation:
Answer:
1. 8x-4x=4x
5-2=3
so the answer will be
4x+3
2.9t-7t+12-8=2t+4.
3.i have no idea
4. 18x^2+12x^2+16x-11x-17+19=30x^2+5x-36.
simplify square root of 3/8
please give steps!!
Step-by-step explanation:
Write the expression
[tex] \sqrt{ \frac{3}{8} } [/tex]
Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so
[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]
Know that
[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]
So
[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]
The simplified form of the square root of 3/8 is (√6) / 4.
To simplify the square root of 3/8, we can simplify the numerator and denominator separately.
For the numerator, we take the square root of 3:
√3
For the denominator, we take the square root of 8:
√8
Now, let's simplify each of them:
√3 cannot be simplified further because 3 is a prime number.
√8 can be simplified by factoring out the perfect square:
√8 = √(4 × 2)
Since 4 is a perfect square (2² = 4), we can take it out of the square root:
√8 = 2√2
Now, let's put the simplified numerator and denominator together:
√3/8 = √3 / (2√2)
To rationalize the denominator, we multiply the expression by the conjugate of the denominator:
(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)
Simplifying the denominator:
(√3√2) / (2√4) = (√6) / (2 × 2)
Simplifying further:
(√6) / (2×2) = (√6) / 4
Therefore, the simplified form of the square root of 3/8 is (√6) / 4.
To learn more on Expressions click:
https://brainly.com/question/14083225
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HURRY WILL GIVE BRANLIEST!!!!!!!
Answer:
√17
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a ratio of two integers. Or in other words, an irrational number can't be expressed as a fraction. You really cant divide one integer by another integer to get √17, so that makes it an irrational number.
Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction. 4/3 divided 7/4
Answer:
so we have 4/3 divided by 7/4
= 4/3 * 4/7
= 4*4/3*7
= 16/21
Step-by-step explanation:
answer from gauth math
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =
]
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Answer:
g(f(4)) = 9
Step-by-step explanation:
Put the argument value where the variable is and do the arithmetic.
g(f(4)) = g(4 -7) = g(-3) = (-3)^2
g(f(4)) = 9
Plz help ASAP need fast plz will mark Brainlyist
Answer:
The correct answer is the third one. CIRCUMFERENCE
Order the numbers from least to greatest
Answer:
B
Step-by-step explanation:
It just is
