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Orlov [11]
2 years ago
9

Just question 7 thanks

Mathematics
1 answer:
ad-work [718]2 years ago
5 0
Let x be the number of boys, the number of girls will be 200-x

Number of boys with blue eyes x/3
Number of girls with blue eyes (200-x)/4
ll blue eyes ==> x/3 + (200-x)/4 = 57
Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
x=81, the total number of boys & girls200-81 119

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What should be added to 3 to make the sum 0?
Phoenix [80]

Answer:

-3

Step-by-step explanation:

3+x=0

subtract 3 from 3, 0

subtract 3 from 0, -3

5 0
3 years ago
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The product of 5 and a number is at least 20.
svp [43]

Answer:

Step-by-step explanation:

the answer is 5x\geq 20

8 0
3 years ago
Please answer this . It’s of class 8 Thank you
Katen [24]

Answer:

= (3/5)-³

= (5/3)³

= (5/3) × (5/3) × (5/3)

= (125/27)

Hope it helps.

3 0
2 years ago
Read 2 more answers
A. Evaluate ∫20 tan 2x sec^2 2x dx using the substitution u = tan 2x.
irakobra [83]

Answer:

The integral is equal to 5\sec^2(2x)+C for an arbitrary constant C.

Step-by-step explanation:

a) If u=\tan(2x) then du=2\sec^2(2x)dx so the integral becomes \int 20\tan(2x)\sec^2(2x)dx=\int 10\tan(2x) (2\sec^2(2x))dx=\int 10udu=\frac{u^2}{2}+C=10(\int udu)=10(\frac{u^2}{2}+C)=5\tan^2(2x)+C. (the constant of integration is actually 5C, but this doesn't affect the result when taking derivatives, so we still denote it by C)

b) In this case u=\sec(2x) hence du=2\tan(2x)\sec(2x)dx. We rewrite the integral as \int 20\tan(2x)\sec^2(2x)dx=\int 10\sec(2x) (2\tan(2x)\sec(2x))dx=\int 10udu=5\frac{u^2}{2}+C=5\sec^2(2x)+C.

c) We use the trigonometric identity \tan(2x)^2+1=\sec(2x)^2 is part b). The value of the integral is 5\sec^2(2x)+C=5(\tan^2(2x)+1)+C=5\tan^2(2x)+5+C=5\tan^2(2x)+C. which coincides with part a)

Note that we just replaced 5+C by C. This is because we are asked for an indefinite integral. Each value of C defines a unique antiderivative, but we are not interested in specific values of C as this integral is the family of all antiderivatives. Part a) and b) don't coincide for specific values of C (they would if we were working with a definite integral), but they do represent the same family of functions.  

3 0
3 years ago
What would seven less than the quotient of x and 9 in a an expression?
g100num [7]
Required expression is x/9 - 7
3 0
3 years ago
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