Someone who explain me please

Mathematics

1 answer:

kotykmax [81]3 years ago

5 0

First you need to isolate the variable so for #1 I would add 2t on both sides and add 3 on both sides. That makes the inequality -4t<-16. Then divide both sides by -4 to get t<4. This means that t is less than 4 so you need to draw an open circle on four on the number line and draw an arrow pointing to everything less than 4. ( If the inequality is equal to and less than/ greater than a # shade in the circle.)

You might be interested in

For lunch, you get tacos that cost $5.50. You also get chips and salsa for $3.99. What is the total cost of your lunch?

ollegr [7]

Answer:

9.49

Step-by-step explanation:

Add the price of the chips and salsa to the price of the tacos

5.50

+3.99

---------------

9.49

3 0

2 years ago

Read 2 more answers

Rewrite 4+2/3x=3/4 so it does not have fractions.

Dahasolnce [82]

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + $\frac{2}{3}$ x = $\frac{3}{4}$

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

6 0

2 years ago

A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr

Rufina [12.5K]

The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
$120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\$
Logarithm both sides of the equation:
$ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083$

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
$A = 120 000 000 * e ^{0.0083*17} \\ 
A = 120 000 000 * e^{0.1411} \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000
$
Thus, the population will be 138 million in 2014

8 0

3 years ago

Niles bought 4 packs of baseball cards. He also spent $14 for a notebook to hold the baseball cards. He spent a total of $23. Ni

algol13

The answer is d because 2.25 times 4 equals 9 then 9 plus 14 equals 23

5 0

3 years ago

Read 2 more answers

a certain number is both a perfect square and a perfect cube. Will it's square root and its cube root will always be different n

Alexus [3.1K]

Answer:

Step-by-step explanation: