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gregori [183]
3 years ago
9

8-2x<4 solve inequality

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4  < 2x

4 < 2x | : 2

2 < x

x > 2

x ∈ ( +2 ; + oo )

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Jacob and Sarah are saving money to go on a trip. They need at least $2000 in order to go. Jacob mows lawns and Sarah walks dogs
Paladinen [302]

Answer:

20x+10y\ge 2000

Step-by-step explanation:

Let x represent the number of lawns Jacob mowed and y represent the number of dogs Sarah walked.

Jacob charges $20 each time he mows a lawn, then he earns $20x for x lawns mowed.

Sarah charges $10 each time she walks a dog, then she earns $10y for y dogs walked.

In total, they will earn $(20x + 10y). They need at least $2000 in order to go on a trip, then

20x+10y\ge 2000

Note that x\ge 0,\ y\ge 0.

7 0
3 years ago
The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
const2013 [10]

Answer:

28.26 units

Step-by-step explanation:

We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.

A = π(3^2) or A = π * 3 * 3

When you substitute pi for 3.14, you'll end up getting 28.26 units.

Hope this helped! :)

6 0
2 years ago
*Select all that apply.*
Korvikt [17]
I'm for sure know that it is function is linear but i would wait for others to answer also
5 0
3 years ago
Read 2 more answers
1)Make an area model(Table) or a tree diagram to model all the possible combinations in this situation. 2)What is the theoretica
Ann [662]

Answer:

Example:

A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.

a) Construct a probability tree of the problem.

b) Calculate the probability that Paul picks:

i) two black balls

ii) a black ball in his second draw

Solution:

tree diagram

a) Check that the probabilities in the last column add up to 1.

b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.

ii) There are two outcomes where the second ball can be black.

Either (B, B) or (W, B)

From the probability tree diagram, we get:

P(second ball black)

= P(B, B) or P(W, B)

= P(B, B) + P(W, B)

6 0
3 years ago
Marco wants to take a taxi cab ride if the cost to ride is 7.00 with the cost per m is 0.25 per mile and mr. o can only spend 30
77julia77 [94]

Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

\text{ cost(x)}=0.25\cdot x+7

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

\begin{gathered} \text{ cost(x)}\leq30 \\ 0.25\cdot x+7\leq30 \end{gathered}

We can solve the linear equation by isolating the "x" variable on the left side.

\begin{gathered} 0.25\cdot x\leq30-7 \\ 0.25\cdot x\leq23 \\ x\leq\frac{23}{0.25} \\ x\leq92 \end{gathered}

Marco's travel must be shorter or equal to 92 miles.

6 0
11 months ago
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