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3 years ago

60 points if you answer them all! Please answer them!!!!!

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Answer:

10. (x-12) > 15

11. -3n ≤12

12. 400 ≤ 11*h

36.36 hours

13. 500 ≥ 150 + n * 50

14. 275≤ 145 + 80 +c

15. 175≥ 45*n +5n

She can only buy 3 tickets ( no partial tickets)

Step-by-step explanation:

10. Write the inequality correctly: The difference of x and 12 is more than 15

Difference is subtraction more than is >

(x-12) > 15

11. Write the inequality correctly: The product of -3 and a number is at most 21.

Product is multiplication and at most means ≤

-3n ≤12

12. Wages = hours worked * rate

400 = hours * 11

He wants to make at least 400

400 ≤ 11*h

Divide each side by 11

400/11 ≤h

36.36 hours

13. Total cost = helmet + number of lessons*rate

She can spend no more than 500

500 ≥ 150 + n * 50

14. Total cans = cans first week + cans second week + cans third week

We want 275 cans or more

275≤ 145 + 80 +c

15. Cost of concert = cost of ticket * number of tickets + fee * number of tickets

It cannot cost more than 175

175≥ 45*n +5n ( assuming a service fee per ticket)

Combine like terms

175≥ 45*n +5n

175≥50n

Divide by 50

175/50 ≥50n/50

3.5 ≥ n

She can only buy 3 tickets ( no partial tickets)

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Please please help!!

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

12/2=6

20/2=10

10-6=4

7 0

2 years ago

If k is a positive integer and n = k(k + 7), is n divisible by 6 ? (1) k is odd. (2) When k is divided by 3, the remainder is 2.

olganol [36]

Answer:

1.) Yes

2.) Yes

Step-by-step explanation:

Given that

n = k(k + 7)

If k is a positive integer and n = k(k + 7), is n divisible by 6 ?

(1) k is odd. Yes.

Let assume that k = 3

Then, n = 3(3 + 7)

n = 3 × 10

n = 30.

30 is divisible by 6.

(2) When k is divided by 3, the remainder is 2. That is,

Let k = 5

Then,

5/3 = 1 remainder 2

Substitute k into the equation

n = k(k + 7)

n = 5(5 + 7)

n = 5 × 12

n = 60

And 60 is divisible by 6.

Therefore, the answer to both questions is Yes.

5 0

3 years ago

Please help me find the slopes and explain rise and run.Its confusing for me im in algebra 1 by the way and the rise and run con

Tju [1.3M]

Graph 1: -3 is the slope
Graph 2: 4/5 is the slope

3 0

2 years ago

Rationalize the denominator of sqrt -49 over (7 - 2i) - (4 + 9i)

zubka84 [21]

$\sqrt{ \frac{-49}{(7-2i)-(4+9i) } } 
$

This one is quite the deal, but we can begin by distributing the negative on the denominator and getting rid of the parenthesis:

$\frac{ \sqrt{-49}}{7-2i-4-9i}$

See how the denominator now is more a simplification of like terms, with this I mean that you operate the numbers with an "i" together and the ones that do not have an "i" together as well. Namely, the 7 and the -4, the -2i with the -9i.
Therefore having the result:

$\frac{ \sqrt{-49} }{3-11i}$

Now, the $\sqrt{-49}$ must be respresented as an imaginary number, and using the multiplication of radicals, we can simplify it to $\sqrt{49} \sqrt{-1}$
This means that we get the result 7i for the numerator.

$\frac{7i}{3-11i}$

In order to rationalize this fraction even further, we have to remember an identity from the previous algebra classes, namely: $x^2 - y^2 =(x+y)(x-y)$
The difference of squares allows us to remove the imaginary part of this fraction, leaving us with a real number, hopefully, on the denominator.

$\frac{7i (3+11i)}{(3-11i)(3+11i)}$

See, all I did there was multiply both numerator and denominator with (3+11i) so I could complete the difference of squares.
See how $(3-11i)(3+11i)= 3^2 -(11i)^2$ therefore, we can finally write:

$\frac{7i(3+11i)}{3^2 - (11i)^2 }$

I'll let you take it from here, all you have to do is simplify it further.
The simplification is quite straightforward, the numerator distributed the 7i. Namely the product $7i(3+11i) = 21i+77i^2$ .
You should know from your classes that i^2 = -1, thefore the numerator simplifies to $-77+21i$
You can do it as a curious thing, but simplifying yields the result:
$\frac{-77+21i}{130}$

7 0

3 years ago

PLZZ! HELP WITH THIS! WILL GIVE BRAINLLEIST! PROMISE! AND 11 POINTS! FOR A SIMPLE ANSWER! THANKS TO ANYONE WHO ANSWERS THIS! HUR

Alenkinab [10]

Answer:

65.52 square feet

Step-by-step explanation:

to find area of a rhombus with the diagonals multiply them together and divide by two.

10.4 x 12.6 = 131.04

131.04/2 = 65.52 square ft

7 0

3 years ago