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4 years ago

I need help with this

Mathematics

1 answer:

Lostsunrise [7]4 years ago

5 0

Answer:

since k is the constant for any proportionality, simply do 48/4 since 48=y and 4=x or y/x, your constant will be equal to 12 as well as ur unit rate point since they said it is the same as your constant, your equation would be y=12x

Step-by-step explanation:

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What times what will give 540

atroni [7]

2x270=540 there for this is right !

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3 years ago

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What is the solution set of {x | x < -5} ∩ {x | x > 5}

Kisachek [45]

Answer:

The answer is: {x | x < -5} ∩ {x | x > 5}= { }.

Step-by-step explanation:

Let us first list the elements of the first set.

{x | x < -5} reads x is an element such that x is less than -5. So we list all the integers less than -5.

{x | x < -5}= {-6,-7,-8,-9,-10,-11,-12,-13,-14,...}

Similarly, we find the elements of the second set which reads: x is an element such that, x is greater than 5. So we list all integers greater than 5

{x | x > 5}= {6,7,8,9,10,11,12,13,14,...}

Finally we are required to find the numbers or elements in both sets that intersect or are the same with each other.

Since no element in both sets listed above intersect each other, the solution is an empty set:

Therefore, {x | x < -5} ∩ {x | x > 5}= { }.

5 0

3 years ago

A total of $27,000 is invested, part of it at 12% and the rest at 13%. The total interest after one year is $3385. How much was

Sveta_85 [38]

The amount invested in each rate are $14500 and $12500 respectively;

Let the amount invested in each be P1 and P2

Let the individual interest be I1 and I2 respectively;

I1 = P1R1T/100

I2 = P2R2T/100

If a total of $27,000 is invested, then;

P1 + P2 = 27000 ........... 1

If the total interest after one year is $3385, then;

I1 + I2 = 3385

$\frac{P_1(12)(1)}{100} + \frac{P_2(13)(1)}{100} = 3385\\0.12P_1+0.13P2=3385\\12P_1 + 13P_2=338500 ........................... 2$

Solving equations 1 and 2 simultaneously;

P1 + P2 = 27000 ........... 1 * 12

12P1 + 13P2 = 338500 ........... 2 * 1

________________________________

12P1 + 12P12 = 324000

12P1 + 13P2 = 338500 ...

Subtract both equations

12P2 - 13 P2 = 324000 - 338500

-P2 = -14500

P2 = 14500

Recall that P1 + P2 = 27000

P1 = 27000 - P2

P1 = 27000 - 14500

P1 = 12500

Hence the amount invested in each rate are $14500 and $12500 respectively;

Learn more here: brainly.com/question/19088526

7 0

3 years ago

I NEED HELP What is the value of x if x * x + 2x - 35 = 0?

Sati [7]

Answer:

(x−7)(x+5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x−7=0x+5=0

Set the first factor equal to 0 and solve.

x=7

Set the next factor equal to 0 and solve.

x=−5

The final solution is all the values that make (x−7(x+5)=0 true. x={7,−5}

6 0

3 years ago

miss Kelly's son storage closet is 3 feet long 3 feet wide and 7 feet high she. can she fit 67 boxes that each have one volume o

noname [10]

Volume is length times width times height so the closet's volume is 3x3x7 which equals 63 cubic feet.

Because 63 is less than 67, she can not fix 67 boxes in her closet.

8 0

4 years ago

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