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TEA [102]
3 years ago
10

The cost of bananas varies directly with the number of pounds bought. If 5 pounds cost $8.50

Mathematics
1 answer:
tekilochka [14]3 years ago
5 0
It will cost $5.10 for 3 pounds


Pls mark me Brainliest
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Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
Joe has a bag of blocks. 3 red blocks and 2 blue blocks weigh 24 ounces while 1 red block and 3 blue blocks weigh 16 ounces. Def
fredd [130]

Answer: 3r + 2b = 24

r + 3b = 16

Step-by-step explanation:

Let the red blocks be represented by r

Let blue blocks be represented by b

Since 3 red blocks and 2 blue blocks weigh 24 ounces. This will be:

3r + 2b = 24

1 red block and 3 blue blocks weigh 16 ounces. This will be:

r + 3b = 16

Therefore, the equation will be:

3r + 2b = 24

r + 3b = 16

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2 years ago
There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boy
Rufina [12.5K]

Answer:72 are boys.

Step-by-step explanation:

40%of 180 is 72.

3 0
2 years ago
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Clara ate 1/8 of the pie Jacob ate 1/4 how much of the pie did they ate
nika2105 [10]
They ate 3/8 of the pie because 1/4=2/8 .and 1/8+2/8=3/8. Hope this helps
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3 years ago
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The team's combined score was 0. What was Travis's score
Pavlova-9 [17]

Answer:

Sorry but we need more info.

Step-by-step explanation:

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