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3 years ago

The greater of two numbers is six more

Mathematics

1 answer:

pickupchik [31]3 years ago

5 0

Answer:

Let's begin by writing the mathematical equations given by the sentences.

Let X = smaller number

Let Y = larger number

The first sentence tells us

X + Y = 38

The second sentence tells us

X = Y/3 + 6

Since you weren't given a specific method to use, you can use either the substitution method or the elimination(addition) method, whichever works best for you.

Since the 2nd equation has the X isolated, I'm going to isolate the X in the first equation,

X = 38 - Y

Since both equations are equal to X, I can set them equal to one another and solve for Y.

Y/3 + 6 = 38 - Y

Y + 18 = 114 - 3Y

4Y = 96

Y = 24

Then use either of the two original equations to solve for X

X + Y = 38

X + 24 = 38

X = 14

Step-by-step explanation:

PLS MAKE ME AS BRAINLIST

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F(c)= 9/5c+ 32 I just don't understand how to find the inverse of the function

Viefleur [7K]

F = 9/5 C + 32
- 32 -32

subtracting - 32 from both sides

F - 32 = 9/5c
5/9 F -32 = 5/9(9/5)C

Invert 9/5 to 5/9 multiply to both sides

5/9F - 32 = C

The answer is 5/9F-32 = C

5 0

3 years ago

At a butcher shop, Hilda bought 6 1/4 lb of Beef and some pork. She left with 13 1/20 lb of meat. Express the number of pounds

lina2011 [118]

Hilda bought 15.11 lb of pork.

Step-by-step explanation:

Cost of Beef that Hilda bought = 4 17/20 = 4.85 lb

Cost of the total meat she bought = 19 24/25 = 19.96 lb.

To find the number of pounds of pork she bought, subtract.

Number of pounds of pork she bought = 19.96 - 4.85 = 15.11 lb.

8 0

3 years ago

Read 2 more answers

A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor

Leno4ka [110]

Answer:

$C=120/2=60$

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

P =0.02( since the percentage of chance of achieving a high performance level is 2%)

n = 20 ( number of employees who achieve a high performance level)

The probability of X= 0 can be calculated

P( X= 0) = 0.98^n

$P(X=0)=0.98^20$

$P(X=0)=0.668$

$P(X=1)=0.02*20*0.98^19$

$P(X=1)=0.272$

$P(X=2)=0.02^2*20*0.98^18$

$P(X=2)=0.053$

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

$C=120/2=60$

7 0

3 years ago

Complete the graphic organizer by dragging each expression to the exponent law it illustrates. Assume that x and y are nonzero r

Agata [3.3K]

Answer:

Step-by-step explanation:

i got it correct:)

7 0

3 years ago

investments historically have doubled every 9 years. If you start will a $2,000 investment, how much money would you have after

azamat

Answer:

$64,000

Step-by-step explanation:

Friday, 45 / 9 = 5

So the investment will double 5 times

First time

2,000 (starting investment) × 2 = 4000

Second time

4000 × 2 = 8000

Third time

8000 × 2 = 16000

Fourth time

16000 × 2 = 32000

Fifth and final time

32000 × 2 = 64000

$64,000

7 0

2 years ago