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olasank [31]
3 years ago
8

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:

A

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

earnings * .2 = 17

divide by .2 on each side

earnings = 17/.2

earnings = $85.00

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
2 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

Step 3: Evaluate the function at the left endpoints

f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3

f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386

f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964

f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527

f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0

f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527

Step 4: Apply the Left Riemann Sum formula

\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315

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

5 0
3 years ago
Beatriz has a big hot chocolate. She drank 7 ounces so far, how large is her entire hot chocolate
Ksivusya [100]

Answer:

larger than 7 ounces

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A limousine company charges a fixed cost for a limousine and an hourly rate for it's driver. It cost $500 to rent a limousine fo
mr Goodwill [35]

Answer: the fixed cost to rent the limousine is $200

Step-by-step explanation:

Let x represent the fixed cost rent the limousine.

Let y represent the cost of of hiring the driver of the limousine per hour.

It cost $500 to rent a limousine for 5 hours. This means that

x + 5y = 500 - - - - - - - - - - -1

It costs 800 to rent a limousine for 10 hours. This means that

x + 10y = 800 - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 5y = - 300

y = - 300 /- 5

y = 60

Substituting y = 60 into equation 1, it becomes

x + 5 × 60 = 500

x + 300 = 500

x = 500 - 300

x = 200

5 0
3 years ago
Read 2 more answers
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