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3 years ago

1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824

Mathematics

2 answers:

Zepler [3.9K]3 years ago

5 0

The answer is (c) 9984

Aleksandr [31]3 years ago

3 0

C. 9984

9984/16 = 624

5824/16 = 364, but 9984 > 5824

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Help please inequalities are kicking my butt any help is greatly appreciated thank you in advance

Hitman42 [59]

Answer:

Correct option is (C)

Step-by-step explanation:

we are given that -Tim design a pair of shorts,S, and T-shirts,t.

Tim sell Sorts for $12 and T-shirts for $8 each.

Tim can work atmost 18 hours a day so we can write $time\leq 18$

Time taken to design a T-shirt is 30 minutes and for Shorts, it is 45 minutes.

$\frac{30}{60}t+\frac{45}{60}s\leq 18\\\text{Multiply both the sides by 60}\\30t+45s\leq 1080\\\text{Divide both the sides by 45}\\s+0.66t\leq 24\\\text{Subtract 0.66t from both the sides}\\s\leq 24-0.66t$

He must design 12 itesm each day, so we can write $t+s\geq 12$

Further it can be written as

$t+s\geq 12\\\text{Subtract t from both the sides}\\s\geq 12-t$

Also Tim can not design more than 30 items in one day, so we can write

$t+s\leq 30\\\text{Subtsract t from both the sides}\\s\leq 30-t$

Hence from the above equations , its claer that

$s\geq 12-t,s\leq 30-t,s\leq 24-0.66t,s\geq 0,t\geq 0$

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3 years ago

How to write 710,200 in word form

photoshop1234 [79]

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2 years ago

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What is the product of any integer and -1

mixas84 [53]

Answer:

The negative counterpart

Step-by-step explanation:

x * -1 = -x

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3 years ago

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If there's a sale and the original price is 140 and it's one fifth off how much is the sale?

Alex777 [14]

$112
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2 years ago

ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit

Mama L [17]

Answer: We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

$P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16$

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

$f(x)\rightarrow -\infty$ as $x\rightarrow -\infty$

And, $f(x)\rightarrow +\infty$ as $x\rightarrow +\infty$

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write, $x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)$

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.

4 0

3 years ago

1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824​

1 5. 13. The greatest four digit number that is disible by 16.is (a) 8457 (b) 7842 (c) 9984 (d) 5824