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2 years ago

The sum of two numbers 54. Their difference is 34

Mathematics

1 answer:

tester [92]2 years ago

3 0

Answer:

Larger Number : 44

Smaller Number: 10

Step-by-step explanation:

(x+y) + (x-y) = 54 + 34

x + y + x - y = 88

2x = 88

x = 44

Since 34 is the difference of 44 and another number...

34 = 44 - x

x = 10

Bigger number is 44

Smaller number is 10

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(2x + y = -2 (5x + 3y = -8 Solve by substitution

aliya0001 [1]

(2, -6)

Step-by-step explanation:

y = -2 - 2x

5x + 3 (-2-2x) = - 8

5x - 6 - 6x = - 8

-x - 6 = 8

- 6 + 8 = x

2 = x

x = 2

y = -2 -2x

y = -2 -2(2)

y = -2 -4

y = -6

(x, y) = (2, -6)

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2 years ago

Read 2 more answers

Elaina is planning to save enough money to buy laptop computer. She needs $600. She already has $200 in her bank account. She is

Natali [406]

Answer: 200+40x=600

Step-by-step explanation:

200+40x=600

600-200=400

40x=400

40/40= 1 or x

400/ 40=10

x=10

5 0

3 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

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3 years ago

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

gladu [14]

Answer:

AnSum of two sides of triangle always greater than third side, so the possible values of h is:

7x-3x < h < 7x+3x

4x < h < 10x answer:

Step-by-step explanation:

5 0

3 years ago

Caroline spent $42.14 on groceries after using coupons and store discounts. Without the coupons and store discounts, the groceri

mash [69]

The answers is 14%
49 multiply by 14% is 6.86
42.14 + 6.86= 59

6 0

3 years ago