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3 years ago

Solve the following inequality for x. -5x<-15x+40

Mathematics

1 answer:

melisa1 [442]3 years ago

5 0

Answer:

x is less than 4

x is greater than 4

Step-by-step explanation:

-5x < -15x + 40 -5x < -15x + 40

+15x +15x -40 -40

10x < 40 -40 - 5x < -15x

÷10 ÷10 +5x +5x

× < 4 -40 < -10x

÷10 ÷10

4 < ×

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Help Use the distributive property to demonstrate that the product of 10 and -(1)/(5) is a negative number. Make sure to include

marissa [1.9K]

Answer:

-2

Step-by-step explanation:

We have to multiply 10 and $\frac{-(1)}{(5)}$

Here we have to distribute the negative sign.

Distributive property = -(a) = -a

Using the above property, we get $\frac{-(1)}{(5)}$ = $\frac{-1}{5}$

Now we have to multiply 10 and $\frac{-1}{5}$

= 10 × $\frac{-1}{5}$

= $\frac{10 times -1}{5}$

= $\frac{-10}{5}$

Now we have to divide -10 by 5.

= -2

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3 years ago

6. Evan has 4 chocolate bars with a total of 48 pieces. How many pieces are in each bar? pieces per bar

murzikaleks [220]

Answer: 12

Step-by-step explanation: hope this helped

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3 years ago

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Order these numbers from least to greatest. 8.23 , 7.37 , 7.307 , 7.7

Ksenya-84 [330]

7.307, 7.37, 7.7 , 8.23

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3 years ago

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Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

5 0

3 years ago

Susie lost $15 on Monday. Her mom was upset, but gave her another $20. She lost another $13 today. Write an integer to represent

maria [59]

Answer:

Step-by-step explanation:

If you add 13 +15 you get 28$ if we were to write that as an integer out of 20 it would be 28/20 but as an improper fraction, it would need to be simplified into 1 and 8/20 ( 1 8/20)

If you are looking how much she lost out of the 20 she lost today it would be 13/20

Hope this helps

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3 years ago