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dimaraw [331]
3 years ago
9

16 < −x −6 OR 2x + 5 ≥ 11

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0

Answer:

A. -1; -2; -3; -4; -5.

B. x>1

You might be interested in
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

0.2 = ½^(10 / T)

log 0.2 = (10 / T) log 0.5

10 / T = 2.32

T = 4.31

When A = 40, t is:

40 = 700 (½)^(t / 4.31)

0.057 = ½^(t / 4.31)

log 0.057 = (t / 4.31) log 0.5

t / 4.31 = 4.13

t = 17.8

Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
Need some help with these problems!
LekaFEV [45]

Answer:

<em>h=12, w=24, t=8</em>

Step-by-step explanation:

<u>System of Linear Equations </u>

We have 3 unknown variables and 3 conditions between them. They form a set of 3 equations with 3 variables.

We have the following data, being  

w = price of a sweatshirt

t = price of a T-shirt

h = price of a pair of shorts

19.

The first condition states the price of a sweatshirt is twice the price of a pair of shorts. We can write it as

\displaystyle w=2h

The second condition states the price of a T-shirt is $4 less than the price of a pair of shorts. We can write it as

\displaystyle t=h-4

The final condition states Brad purchased 3 sweatshirts, 2 pairs of shorts, and 5 T-shirts for $136, thus

\displaystyle 3w+2h+5t=136

This is the system of equations we need to solve for w,t,h

20.

To solve the system, we replace w in terms of h and t in terms of h. Those relations have been already written, so

\displaystyle 3(2h)+2h+5(h-4)=136

Operating

\displaystyle 6h+2h+5h-20=136

\displaystyle 13h=156

Solving for h

\displaystyle h=12

The other two variables are

\displaystyle w=2h=24

\displaystyle t=12-4=8

4 0
3 years ago
A certain breed of mouse was introduced onto a small island with an initial population of 320 mice, and scientists estimate that
Viefleur [7K]
Y=2x+320
x being the number of years and 320 being the initial population of mice
7 0
3 years ago
Solve for x. Round your answer to the nearest thousandth.
pogonyaev

Answer:

7.08

Choice A

Step-by-step explanation:

From the right-angled triangle we have been given the following;

One angle - 33 degrees

The hypotenuse - 13 units

We are required to determine the length of the side, opposite the angle, marked x.

Using the Mnemonic; SOHCAHTOA

The sine of an angle is; (opposite side)/(hypotenuse)

Therefore;

sin 33 = x/13

x = 13 * sin 33

x = 7.080

7 0
3 years ago
1.Jessica lost some of her money. She found 3/6 of it. What fraction of her money is still missing ?
notsponge [240]
Hey there!

1.
If Jessica found 3/6 of her money, half of it is still missing.

This is because 3/6 = 1/2, so Jessica also found half of her money and is missing half of it.

2.

16 ounces = 1 pound

16 ounces * 10 pounds = 160 <------

If the baby weighs 10 pounds, he weighs 160 ounces.

Hope this helps you.
Have a great day!
7 0
3 years ago
Read 2 more answers
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