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3 years ago

What is the solution to 3x + 2.4 ≥ 3.0

Mathematics

2 answers:

vichka [17]3 years ago

7 0

3x _> 3.0 - 2.4
= 3x _> 3/5
= 1/5

balandron [24]3 years ago

3 0

Answer:

Step-by-step explanation:

3x ≥3.0 - 2.4

3x ≥ 0.6

x ≥ 0.6/3

x ≥ 0.2 is your answer

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Ann deposits 20% of her earnings each week into her savings account. if she deposited $17 this week, how much did she earn

nika2105 [10]

earnings * 20 percent = 17

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divide by .2 on each side

earnings = 17/.2

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7 0

3 years ago

Steve weighs 18 more pounds than Ryan. If their weight totals 144 pounds, how much does Ryan weigh?

Darya [45]

Answer:

A) Steve = Ryan +18

B) Steve + Ryan = 144

A) Steve -Ryan = 18 then adding B

B) Steve + Ryan = 162

2 Steve = 162

Steve weighs 81 pounds

Ryan weighs (81 -18) pounds 63 pounds

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans

Kruka [31]

Answer:

$\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558$

Step-by-step explanation:

We want to find the Riemann sum for $\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx$ with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)$

where $\Delta{x}=\frac{b-a}{n}$ .

Step 1: Find $\Delta{x}$

We have that $a=0, b=\frac{3\pi }{4}, n=6$

Therefore, $\Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}$

Step 2: Divide the interval $\left[0,\frac{3 \pi}{4}\right]$ into n = 6 sub-intervals of length $\Delta{x}=\frac{\pi}{8}$

$a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b$